import time from collections import deque import heapq import csv import os import random import matplotlib.pyplot as plt # ============================================================ # ЭТАП 1. МОДЕЛЬ ЛАБИРИНТА # ============================================================ class Cell: def __init__(self, x, y, is_wall=False, is_start=False, is_exit=False): self.x = x self.y = y self.is_wall = is_wall self.is_start = is_start self.is_exit = is_exit self.weight = 1 def isPassable(self): return not self.is_wall def __repr__(self): return f"Cell({self.x},{self.y})" def __hash__(self): return hash((self.x, self.y)) def __eq__(self, other): return isinstance(other, Cell) and self.x == other.x and self.y == other.y class Maze: def __init__(self, width, height): self.width = width self.height = height self.cells = [] self.start = None self.exit = None def getCell(self, x, y): if 0 <= x < self.width and 0 <= y < self.height: return self.cells[y][x] return None def getNeighbors(self, cell): neighbors = [] for dx, dy in [(0, -1), (0, 1), (-1, 0), (1, 0)]: nx = cell.x + dx ny = cell.y + dy neighbor = self.getCell(nx, ny) if neighbor and neighbor.isPassable(): neighbors.append(neighbor) return neighbors def getWeightedNeighbors(self, cell): return [(n, n.weight) for n in self.getNeighbors(cell)] # ============================================================ # ЭТАП 2. BUILDER # ============================================================ class MazeBuilder: def buildFromFile(self, filename): raise NotImplementedError class TextFileMazeBuilder(MazeBuilder): def buildFromFile(self, filename): with open(filename, 'r', encoding='utf-8') as f: lines = [line.rstrip('\n') for line in f] height = len(lines) width = max(len(line) for line in lines) maze = Maze(width, height) for y, line in enumerate(lines): row = [] for x, char in enumerate(line): if char == '#': cell = Cell(x, y, is_wall=True) elif char == 'S': cell = Cell(x, y, is_start=True) maze.start = cell elif char == 'E': cell = Cell(x, y, is_exit=True) maze.exit = cell else: cell = Cell(x, y) row.append(cell) while len(row) < width: row.append(Cell(len(row), y, is_wall=True)) maze.cells.append(row) if maze.start is None or maze.exit is None: raise ValueError("В лабиринте нет S или E") return maze # ============================================================ # ВОССТАНОВЛЕНИЕ ПУТИ # ============================================================ def reconstruct_path(parents, end_cell): path = [] current = end_cell while current is not None: path.append(current) current = parents[current] path.reverse() return path # ============================================================ # ЭТАП 3. STRATEGY # ============================================================ class PathFindingStrategy: @property def name(self): return "Unknown" def findPath(self, maze, start, exit): raise NotImplementedError # ============================================================ # BFS # ============================================================ class BFSStrategy(PathFindingStrategy): @property def name(self): return "BFS" def findPath(self, maze, start, exit): queue = deque([start]) visited = {start} parents = { start: None } visited_count = 1 while queue: current = queue.popleft() if current == exit: path = reconstruct_path(parents, exit) return path, visited_count for neighbor in maze.getNeighbors(current): if neighbor not in visited: visited.add(neighbor) parents[neighbor] = current visited_count += 1 queue.append(neighbor) return [], visited_count # ============================================================ # DFS # ============================================================ class DFSStrategy(PathFindingStrategy): @property def name(self): return "DFS" def findPath(self, maze, start, exit): stack = [start] visited = {start} parents = { start: None } visited_count = 1 while stack: current = stack.pop() if current == exit: path = reconstruct_path(parents, exit) return path, visited_count for neighbor in maze.getNeighbors(current): if neighbor not in visited: visited.add(neighbor) parents[neighbor] = current visited_count += 1 stack.append(neighbor) return [], visited_count # ============================================================ # A* # ============================================================ class AStarStrategy(PathFindingStrategy): @property def name(self): return "A*" def heuristic(self, a, b): return abs(a.x - b.x) + abs(a.y - b.y) def findPath(self, maze, start, exit): counter = 0 open_set = [] heapq.heappush(open_set, (0, counter, start)) parents = { start: None } g_score = { start: 0 } visited = set() visited_count = 0 while open_set: _, _, current = heapq.heappop(open_set) if current in visited: continue visited.add(current) visited_count += 1 if current == exit: path = reconstruct_path(parents, exit) return path, visited_count for neighbor in maze.getNeighbors(current): tentative_g = g_score[current] + 1 if neighbor not in g_score or tentative_g < g_score[neighbor]: g_score[neighbor] = tentative_g parents[neighbor] = current f_score = tentative_g + self.heuristic(neighbor, exit) counter += 1 heapq.heappush( open_set, (f_score, counter, neighbor) ) return [], visited_count # ============================================================ # DIJKSTRA # ============================================================ class DijkstraStrategy(PathFindingStrategy): @property def name(self): return "Dijkstra" def findPath(self, maze, start, exit): counter = 0 queue = [] heapq.heappush(queue, (0, counter, start)) distances = { start: 0 } parents = { start: None } visited = set() visited_count = 0 while queue: dist, _, current = heapq.heappop(queue) if current in visited: continue visited.add(current) visited_count += 1 if current == exit: path = reconstruct_path(parents, exit) return path, visited_count for neighbor, weight in maze.getWeightedNeighbors(current): new_dist = dist + weight if neighbor not in distances or new_dist < distances[neighbor]: distances[neighbor] = new_dist parents[neighbor] = current counter += 1 heapq.heappush( queue, (new_dist, counter, neighbor) ) return [], visited_count # ============================================================ # ЭТАП 4. STATS + SOLVER # ============================================================ class SearchStats: def __init__( self, strategy_name, time_ms, visited_cells, path_length, path_found ): self.strategy_name = strategy_name self.time_ms = time_ms self.visited_cells = visited_cells self.path_length = path_length self.path_found = path_found class MazeSolver: def __init__(self, maze, strategy=None): self.maze = maze self.strategy = strategy def setStrategy(self, strategy): self.strategy = strategy def solve(self): if self.strategy is None: raise ValueError("Стратегия не выбрана") start_time = time.perf_counter() path, visited = self.strategy.findPath( self.maze, self.maze.start, self.maze.exit ) end_time = time.perf_counter() elapsed_ms = (end_time - start_time) * 1000 return SearchStats( self.strategy.name, elapsed_ms, visited, len(path), len(path) > 0 ), path # ============================================================ # ВИЗУАЛИЗАЦИЯ # ============================================================ def render(maze, path=None): path_set = set(path) if path else set() for y in range(maze.height): line = "" for x in range(maze.width): cell = maze.getCell(x, y) if cell == maze.start: line += "S" elif cell == maze.exit: line += "E" elif cell in path_set: line += "." elif cell.is_wall: line += "#" else: line += " " print(line) print() # ============================================================ # ФАЙЛЫ И ПУТИ # ============================================================ OUTPUT_DIR = os.path.join("docs", "data") PREFIX = "_2lab" os.makedirs(OUTPUT_DIR, exist_ok=True) def get_path(filename): name, ext = os.path.splitext(filename) return os.path.join( OUTPUT_DIR, f"{name}{PREFIX}{ext}" ) # ============================================================ # СОЗДАНИЕ ЛАБИРИНТА # ============================================================ def create_test_maze(filename, lines): with open(filename, 'w', encoding='utf-8') as f: for line in lines: f.write(line + '\n') return filename # ============================================================ # ГЕНЕРАЦИЯ # ============================================================ def generate_maze(width, height, wall_density=0.3): grid = [[' ' for _ in range(width)] for _ in range(height)] for x in range(width): grid[0][x] = '#' grid[height - 1][x] = '#' for y in range(height): grid[y][0] = '#' grid[y][width - 1] = '#' x, y = 1, 1 path_cells = {(x, y)} while x < width - 2 or y < height - 2: if x < width - 2 and random.random() > 0.3: x += 1 elif y < height - 2: y += 1 else: x += 1 path_cells.add((x, y)) for yy in range(1, height - 1): for xx in range(1, width - 1): if (xx, yy) not in path_cells: if random.random() < wall_density: grid[yy][xx] = '#' grid[1][1] = 'S' grid[height - 2][width - 2] = 'E' return [''.join(row) for row in grid] def generate_empty_maze(size): lines = [" " * size for _ in range(size)] lines[0] = "S" + " " * (size - 1) lines[size - 1] = " " * (size - 1) + "E" return lines def generate_no_exit_maze(size): lines = generate_maze(size, size, wall_density=0.2) for y, line in enumerate(lines): if 'E' in line: x = line.index('E') for dy, dx in [(-1, 0), (1, 0), (0, -1), (0, 1)]: ny = y + dy nx = x + dx if 0 <= ny < size and 0 <= nx < size: if lines[ny][nx] == ' ': lines[ny] = ( lines[ny][:nx] + '#' + lines[ny][nx + 1:] ) return lines # ============================================================ # ЭКСПЕРИМЕНТЫ # ============================================================ def run_experiments(): mazes = { "small": [ "##########", "#S #", "# ###### #", "# # # #", "# # ## # #", "# # ## # #", "# # # #", "# ###### #", "# E#", "##########" ], "medium": generate_maze(50, 50, 0.35), "large": generate_maze(100, 100, 0.4), "empty": generate_empty_maze(20), "no_exit": generate_no_exit_maze(15) } strategies = [ BFSStrategy(), DFSStrategy(), AStarStrategy(), DijkstraStrategy() ] results = [] print("=" * 60) print("ЭКСПЕРИМЕНТЫ") print("=" * 60) for maze_name, lines in mazes.items(): filename = get_path(f"{maze_name}.txt") create_test_maze(filename, lines) maze = TextFileMazeBuilder().buildFromFile(filename) print(f"\nЛабиринт: {maze_name}") print("-" * 60) for strategy in strategies: times = [] visited_values = [] final_path_len = 0 for _ in range(5): solver = MazeSolver(maze) solver.setStrategy(strategy) stats, path = solver.solve() times.append(stats.time_ms) visited_values.append(stats.visited_cells) final_path_len = stats.path_length avg_time = sum(times) / len(times) avg_visited = sum(visited_values) / len(visited_values) results.append({ "maze": maze_name, "strategy": strategy.name, "time_ms": round(avg_time, 4), "visited": int(avg_visited), "path_length": final_path_len }) status = "найден" if final_path_len > 0 else "не найден" print( f"{strategy.name:<10} | " f"{avg_time:>8.4f} мс | " f"{int(avg_visited):>5} клеток | " f"путь {status}" ) csv_path = get_path("results.csv") with open(csv_path, "w", newline="", encoding='utf-8') as f: writer = csv.DictWriter( f, fieldnames=[ "maze", "strategy", "time_ms", "visited", "path_length" ] ) writer.writeheader() writer.writerows(results) print(f"\nCSV сохранён: {csv_path}") return results # ============================================================ # ГРАФИК # ============================================================ def build_charts(results): mazes = list(dict.fromkeys(r["maze"] for r in results)) strategies = list(dict.fromkeys(r["strategy"] for r in results)) fig, ax = plt.subplots(figsize=(12, 6)) x = range(len(mazes)) width = 0.2 colors = { 'BFS': '#3498db', 'DFS': '#e74c3c', 'A*': '#2ecc71', 'Dijkstra': '#f39c12' } for i, strategy in enumerate(strategies): times = [ r["time_ms"] for r in results if r["strategy"] == strategy ] ax.bar( [j + i * width for j in x], times, width, label=strategy, color=colors.get(strategy, 'gray') ) ax.set_xlabel("Лабиринт") ax.set_ylabel("Время (мс)") ax.set_title("Сравнение алгоритмов") ax.set_xticks([j + width * 1.5 for j in x]) ax.set_xticklabels(mazes) ax.legend() ax.grid(axis='y', alpha=0.3) plt.tight_layout() chart_path = get_path("chart_time.png") plt.savefig(chart_path, dpi=150, bbox_inches='tight') print(f"График сохранён: {chart_path}") plt.show() # ============================================================ # MAIN # ============================================================ def main(): results = run_experiments() build_charts(results) if __name__ == "__main__": main()