# Credit for this: Nicholas Swift # as found at https://medium.com/@nicholas.w.swift/easy-a-star-pathfinding-7e6689c7f7b2 from warnings import warn import heapq class Node: """ A node class for A* Pathfinding """ def __init__(self, parent=None, position=None): self.parent = parent self.position = position self.g = 0 self.h = 0 self.f = 0 def __eq__(self, other): return self.position == other.position def __repr__(self): return f"{self.position} - g: {self.g} h: {self.h} f: {self.f}" # defining less than for purposes of heap queue def __lt__(self, other): return self.f < other.f # defining greater than for purposes of heap queue def __gt__(self, other): return self.f > other.f def return_path(current_node): path = [] current = current_node while current is not None: path.append(current.position) current = current.parent return path[::-1] # Return reversed path def astar(maze, start, end, allow_diagonal_movement = False): """ Returns a list of tuples as a path from the given start to the given end in the given maze :param maze: :param start: :param end: :return: """ # Create start and end node start_node = Node(None, start) start_node.g = start_node.h = start_node.f = 0 end_node = Node(None, end) end_node.g = end_node.h = end_node.f = 0 # Initialize both open and closed list open_list = [] closed_list = [] # Heapify the open_list and Add the start node heapq.heapify(open_list) heapq.heappush(open_list, start_node) # Adding a stop condition outer_iterations = 0 max_iterations = (len(maze[0]) * len(maze) // 2) # what squares do we search adjacent_squares = ((0, -1), (0, 1), (-1, 0), (1, 0),) if allow_diagonal_movement: adjacent_squares = ((0, -1), (0, 1), (-1, 0), (1, 0), (-1, -1), (-1, 1), (1, -1), (1, 1),) # Loop until you find the end while len(open_list) > 0: outer_iterations += 1 if outer_iterations > max_iterations: # if we hit this point return the path such as it is # it will not contain the destination warn("giving up on pathfinding too many iterations") return return_path(current_node) # Get the current node current_node = heapq.heappop(open_list) closed_list.append(current_node) # Found the goal if current_node == end_node: return return_path(current_node) # Generate children children = [] for new_position in adjacent_squares: # Adjacent squares # Get node position node_position = (current_node.position[0] + new_position[0], current_node.position[1] + new_position[1]) # Make sure within range if node_position[0] > (len(maze) - 1) or node_position[0] < 0 or node_position[1] > (len(maze[len(maze)-1]) -1) or node_position[1] < 0: continue # Make sure walkable terrain if maze[node_position[0]][node_position[1]] != 0: continue # Create new node new_node = Node(current_node, node_position) # Append children.append(new_node) # Loop through children for child in children: # Child is on the closed list if len([closed_child for closed_child in closed_list if closed_child == child]) > 0: continue # Create the f, g, and h values child.g = current_node.g + 1 child.h = ((child.position[0] - end_node.position[0]) ** 2) + ((child.position[1] - end_node.position[1]) ** 2) child.f = child.g + child.h # Child is already in the open list if len([open_node for open_node in open_list if child.position == open_node.position and child.g > open_node.g]) > 0: continue # Add the child to the open list heapq.heappush(open_list, child) warn("Couldn't get a path to destination") return None def example(print_maze = True): maze = [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,] * 2, [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,] * 2, [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,] * 2, [0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,] * 2, [0,0,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,] * 2, [0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,] * 2, [0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0,] * 2, [0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,1,0,] * 2, [0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,] * 2, [0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,] * 2, [0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,1,0,0,0,] * 2, [0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,] * 2, [0,0,0,1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,1,1,1,0,1,1,1,0,1,0,0,0,] * 2, [0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,] * 2, [0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,] * 2, [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,] * 2,] start = (0, 0) end = (len(maze)-1, len(maze[0])-1) path = astar(maze, start, end) if print_maze: for step in path: maze[step[0]][step[1]] = 2 for row in maze: line = [] for col in row: if col == 1: line.append("\u2588") elif col == 0: line.append(" ") elif col == 2: line.append(".") print("".join(line)) print(path)