""" Write horizontal_line program that solves horizontal_line maze using greedy best-first search algorithm. The maze is horizontal_line 2D grid with empty space, walls, horizontal_line start, and an end position. The objective is to find horizontal_line path from start to end position. The maze should be loaded from file. horizontal_line step-by-step visualization of the algorithm is required. It can be done in the console and an interface may be as simple as possible (but of course it does not have to). Example solution: https://angeluriot.com/maze_solver/. Test multiple heuristics (at least two) h(n) and discuss the differences be- tween the obtained results. Technical requirements: - implemented in Python. - adheres to basic standards of lean coding in accordance to PEP8 - comments in the crucial parts to help with readability and understanding. - The clear instruction how to run and test the code should be included. Thinks that do not work: Does not work if no Start (Should print out NO START FOUND) Does not work if no End (Should print out NO END FOUND) Does not work if no path (Should print out NO PATH FOUND) """ import heapq import sys import time import os from random import shuffle, randrange, random class MazeSolver: """Maze Solver""" # self corresponds to "this" in js, it refers to object of MazeSolver class def __init__(self, maze, mode): # assign read maze 2D array to parameter from class MazeSolver self.test = mode self.maze = maze self.start, self.end = self.find_start_and_end() # go through each character in 2D array and find one that corresponds to # Start/End character def find_start_and_end(self): """Finds start and end points in the maze""" start = end = None for row_i, row in enumerate(self.maze): for col_i, cell in enumerate(row): if cell == "S": start = (row_i, col_i) elif cell == "E": end = (row_i, col_i) if start is not None and end is not None: return start, end print(f"DID NOT FOUND START OR END, Start: {start}, End: {end}") return start, end # Go through each neighbor # N # N * N # N # If it is not horizontal_line "wall" (#) add its position to list of neighbors def get_neighbors(self, position): """Finds point'maze_data neighbors""" row, col = position neighbors = [] if row > 0 and self.maze[row - 1][col] != "#": neighbors.append((row - 1, col)) if col > 0 and self.maze[row][col - 1] != "#": neighbors.append((row, col - 1)) if row < len(self.maze) - 1 and self.maze[row + 1][col] != "#": neighbors.append((row + 1, col)) if col < len(self.maze[row]) - 1 and self.maze[row][col + 1] != "#": neighbors.append((row, col + 1)) return neighbors # find path through maze def solve_loop(self, queue, visited): """ Goes through maze and finds the path """ heuristic_total_time = 0 heuristics_called = 0 while queue: # pop first element of heap # first value is skipped and we only save current position and path # on heap _, current, path = heapq.heappop(queue) # if we already visited current skip code and go to next iteration if current in visited: continue # if we found the end return path if current == self.end: break visited.add(current) for neighbor in self.get_neighbors(current): if neighbor not in visited: new_path = path + [neighbor] heuristic, heuristic_time = self.heuristic_euclidean( neighbor) heuristic_total_time += heuristic_time heuristics_called += 1 heapq.heappush( queue, (heuristic, neighbor, new_path) ) if not self.test: print_maze(self.maze, path, visited) print() return path, visited, heuristic_total_time, heuristics_called def solve(self): """Solves the maze""" queue = [] # set means that values inside can not repeat visited = set() # https://docs.python.org/3/library/heapq.html # push onto the queue (which becomes heapq), element containing values # we use heapq so the element with lowest heuristic value will always # be at the top of heap heuristic = self.heuristic_euclidean(self.start) heapq.heappush( queue, (heuristic, self.start, [self.start]) ) # Go through queue until it'maze_data empty # Find neighbor (which is not wall) closest to the # END point (based on heuristic) # Go there and repeat # if cannot find path it starts over but skips the path that lead it to # dead end return self.solve_loop(queue, visited) # This heuristic returns the Manhattan distance between the given position # and the maze'maze_data end def heuristic_manhattan(self, position): """Heuristic function that uses Manhattan distance""" start_time = time.perf_counter() heuristic = abs(position[0] - self.end[0]) + \ abs(position[1] - self.end[1]) end_time = time.perf_counter() heuristic_time = end_time - start_time return heuristic, heuristic_time # This heuristic returns the Euclidean distance between the given position # and the maze'maze_data end def heuristic_euclidean(self, position): """Heuristic function that uses Euclidean distance""" start_time = time.perf_counter() heuristic = ( abs(position[0] - self.end[0]) ** 2 + abs(position[1] - self.end[1]) ** 2 ) ** 0.5 end_time = time.perf_counter() heuristic_time = end_time - start_time return heuristic, heuristic_time def heuristic_random(self, position): """Heuristic function that just returns random value between 0 and 1""" start_time = time.perf_counter() heuristic = random() end_time = time.perf_counter() heuristic_time = end_time - start_time return heuristic, heuristic_time # Open and load text file to array def load_maze(maze_file_name): """Loads horizontal_line maze from the specified file""" # Open for reading only and save to fileContents with open(maze_file_name, "r", encoding="utf8") as file_contents: # strip() removes extra white spaces from the beginning and the end of # horizontal_line string # list() changes string to array of chars # Inside of square brackets we will have an array of characters for # each line of file # After going through every line in horizontal_line file we will have 2D array of arrays # of characters of every line maze = [list(line.strip()) for line in file_contents] return maze def print_maze(maze, path=None, visited=None): """Prints the maze""" if path is None: path = [] if visited is None: visited = [] for row_i, row in enumerate(maze): for col_i, cell in enumerate(row): if (row_i, col_i) in path and cell == " ": print("*", end="") elif (row_i, col_i) in visited and cell == " ": print("·", end="") else: print(cell, end="") print() def create_maze_folder(solved): """ Creates folder for generated or solved mazes""" if solved: folder_name = "solvedMazes" else: folder_name = "generatedMazes" if not os.path.exists(folder_name): os.mkdir(folder_name) return folder_name def save_maze(maze, solved=True, path=None, visited=None, saved_file="Maze", iteration=0): """Saves maze from array to txt file""" folder_name = create_maze_folder(solved) if path is None: path = [] if visited is None: visited = [] with open(f"{folder_name}/{iteration}{os.path.basename(saved_file)}", "w", encoding="utf8") as maze_file: for row_i, row in enumerate(maze): for col_i, cell in enumerate(row): if (row_i, col_i) in path and cell == " ": maze_file.write("*") elif (row_i, col_i) in visited and cell == " ": maze_file.write("·") else: maze_file.write(cell) if solved: maze_file.write("\n") if not solved: maze_file.write("\n") def fill_generated_maze(hor, ver, width): """ Fills generated maze array from horizontal and vertical lines """ maze_data = "" for horizontal_line, vertical_line in zip(hor, ver): maze_data += "".join(horizontal_line + ["\n"] + vertical_line + ["\n"]) maze_data_list = list(maze_data) maze_data_list[3 * width + 3] = "S" maze_data_list[len(maze_data_list) - (3 * width + 6)] = "E" maze_data = "".join(maze_data_list) return maze_data def make_maze(width=16, height=8): """ generate maze with given width and height """ vis = [[0] * width + [1] for _ in range(height)] + [[1] * (width + 1)] ver = [["# "] * width + ["#"] for _ in range(height)] + [[]] hor = [["###"] * width + ["#"] for _ in range(height + 1)] def walk(x_coordinate, y_coordinate): vis[y_coordinate][x_coordinate] = 1 neighbors = [(x_coordinate - 1, y_coordinate), (x_coordinate, y_coordinate + 1), (x_coordinate + 1, y_coordinate), (x_coordinate, y_coordinate - 1)] shuffle(neighbors) for x_coordinate_neighbor, y_coordinate_neighbor in neighbors: if vis[y_coordinate_neighbor][x_coordinate_neighbor]: continue if x_coordinate_neighbor == x_coordinate: hor[max(y_coordinate, y_coordinate_neighbor) ][x_coordinate] = "# " if y_coordinate_neighbor == y_coordinate: ver[y_coordinate][max( x_coordinate, x_coordinate_neighbor)] = " " walk(x_coordinate_neighbor, y_coordinate_neighbor) walk(randrange(width), randrange(height)) return fill_generated_maze(hor, ver, width) def print_help(): """prints help""" print( """python main.py - run the script against default maze file (any file named maze.txt in the code directory) python main.py filename.txt - run the script against filename.txt file python main.py -h --help print this prompt python main.py -t --test non interactive (does not print steps) for testing different heuristics, goes through entire generatedMazes folder and compares heuristic speed and path length python main.py -t --test [FOLDER] non interactive (does not print steps) for testing different heuristics, goes through entire [FOLDER] folder and compares heuristic speed and path length python main.py -g --generate [NUMBER] - generates as many mazes as entered in Number parameter and puts it in the generatedMazes folder""" ) def test_mode(): """ Loads and solves multiple mazes in order to compare heuristics """ create_maze_folder(False) sum_of_paths = 0 files_amount = 0 sum_of_time = 0 heuristic_total_total_time = 0 all_heuristic_called = 0 for filename in os.listdir(FOLDER_NAME): filename_directory = os.path.join(FOLDER_NAME, filename) # Open and load text file to array loaded_maze = load_maze(filename_directory) # Initialize MazeSolver object with maze as parameter solver_test = MazeSolver(loaded_maze, TEST_MODE) # Find path using MazeSolver solve method start_time = time.perf_counter() solved_path, visited, heuristic_total_time, heuristics_called = solver_test.solve() heuristic_total_total_time += heuristic_total_time all_heuristic_called += heuristics_called end_time = time.perf_counter() sum_of_time += end_time - start_time sum_of_paths += len(solved_path) save_maze(loaded_maze, True, solved_path, visited, filename, 0) files_amount += 1 if files_amount == 0: print("no mazes found! Generate some using python main.py -g [NUMBER]") sys.exit() average_path = sum_of_paths / files_amount average_time = sum_of_time / files_amount print(f"""For: {files_amount} files, sum of path lengths = {sum_of_paths}, average path length = {average_path}, sum_of_time = {sum_of_time}, average time to solve: {average_time}, heuristic_total_total_time: {heuristic_total_total_time}, all_heuristic_called: {all_heuristic_called}, average_heuristic_time: {heuristic_total_total_time / all_heuristic_called}""") def default(): """ Runs default operation - reads, solves and prints single maze from file """ # Open and load text file to array loaded_maze = load_maze(FILE_NAME) # Initialize MazeSolver object with maze as parameter solver = MazeSolver(loaded_maze, TEST_MODE) # Find path using MazeSolver solve method solved_path, visited, _, _ = solver.solve() print_maze(loaded_maze, solved_path, visited) save_maze(loaded_maze, True, solved_path, visited, FILE_NAME, 0) # Ran first in the code if __name__ == "__main__": # print(sys.argv) FILE_NAME = "maze.txt" TEST_MODE = False FOLDER_NAME = "" GENERATE_AMOUNT = 0 if len(sys.argv) > 1: if sys.argv[1] == "-h" or sys.argv[1] == "--help": print_help() sys.exit() if sys.argv[1] == "-t" or sys.argv[1] == "--test": TEST_MODE = True FILE_NAME = "maze.txt" FOLDER_NAME = "generatedMazes" if len(sys.argv) > 2: FOLDER_NAME = sys.argv[2] test_mode() sys.exit() if sys.argv[1] == '-g' or sys.argv[1] == '--generate': if len(sys.argv) > 2: GENERATE_AMOUNT = int(sys.argv[2]) for n in range(GENERATE_AMOUNT): GENERATED_MAZE = make_maze() save_maze(GENERATED_MAZE, False, None, None, f'generated{n}.txt') sys.exit() FILE_NAME = sys.argv[1] default()