From edbd5e15b8be0fc58ee86e326d6c147aea535789 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=D0=91=D0=BE=D1=80=D0=B8=D1=81=D0=BE=D0=B2=20=D0=9C=D0=B0?= =?UTF-8?q?=D1=82=D0=B2=D0=B5=D0=B9?= Date: Mon, 25 May 2026 01:59:20 +0300 Subject: [PATCH] =?UTF-8?q?[2]=20=D0=97=D0=B0=D0=BA=D0=BE=D0=BD=D1=87?= =?UTF-8?q?=D0=B5=D0=BD=D0=BD=D0=B0=D1=8F=20=D0=BF=D1=80=D0=BE=D0=B3=D1=80?= =?UTF-8?q?=D0=B0=D0=BC=D0=BC=D0=B0=20+=20=D0=9E=D1=82=D1=87=D1=91=D1=82?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- BorisovMI/lab_2/docs/data/maze.py | 184 ++++++++++++- BorisovMI/lab_2/docs/data/maze_empty.txt | 50 ++++ BorisovMI/lab_2/docs/data/maze_large.txt | 100 +++++++ BorisovMI/lab_2/docs/data/maze_medium.txt | 50 ++++ BorisovMI/lab_2/docs/data/maze_no_exit.txt | 20 ++ .../lab_2/docs/data/maze_path_length.png | Bin 0 -> 103854 bytes BorisovMI/lab_2/docs/data/maze_small.txt | 18 +- .../lab_2/docs/data/maze_time_comparison.png | Bin 0 -> 105107 bytes BorisovMI/lab_2/docs/data/report2.md | 252 ++++++++++++++++++ BorisovMI/lab_2/docs/data/resultslab.csv | 16 ++ 10 files changed, 680 insertions(+), 10 deletions(-) create mode 100644 BorisovMI/lab_2/docs/data/maze_empty.txt create mode 100644 BorisovMI/lab_2/docs/data/maze_large.txt create mode 100644 BorisovMI/lab_2/docs/data/maze_medium.txt create mode 100644 BorisovMI/lab_2/docs/data/maze_no_exit.txt create mode 100644 BorisovMI/lab_2/docs/data/maze_path_length.png create mode 100644 BorisovMI/lab_2/docs/data/maze_time_comparison.png create mode 100644 BorisovMI/lab_2/docs/data/report2.md create mode 100644 BorisovMI/lab_2/docs/data/resultslab.csv diff --git a/BorisovMI/lab_2/docs/data/maze.py b/BorisovMI/lab_2/docs/data/maze.py index 0f4223c..46ad99e 100644 --- a/BorisovMI/lab_2/docs/data/maze.py +++ b/BorisovMI/lab_2/docs/data/maze.py @@ -540,4 +540,186 @@ def create_test_mazes(): save_maze_to_file(no_exit, "maze_no_exit.txt") mazes.append(('без выхода (20x20)', no_exit)) - return mazes \ No newline at end of file + return mazes + +def run_experiment(maze, strategy, name, repeats=5): + + times = [] + visited_counts = [] + path_lengths = [] + + for _ in range(repeats): + solver = MazeSolver(maze) + solver.setStrategy(strategy()) + + start_time = time.perf_counter() + path, stats = solver.solve() + end_time = time.perf_counter() + + times.append((end_time - start_time) * 1000) + visited_counts.append(len(path) if path else 0) + path_lengths.append(len(path) if path else 0) + + return { + 'лабиринт': name, + 'стратегия': strategy.__name__.replace('Strategy', ''), + 'время_ср': sum(times) / repeats, + 'время_мин': min(times), + 'время_макс': max(times), + 'посещено_ср': sum(visited_counts) / repeats, + 'длина_пути_ср': sum(path_lengths) / repeats, + 'путь_найден': path is not None and len(path) > 0 + } + + +def run_all_experiments(): + + strategies = [BFSStrategy, DFSStrategy, AStrategy] + results = [] + + + mazes = create_test_mazes() + + for maze_name, maze in mazes: + + + for strategy in strategies: + print(f" тест {strategy.__name__}...", end=" ", flush=True) + result = run_experiment(maze, strategy, maze_name) + results.append(result) + print(f"время={result['время_ср']:.2f}мс, путь={result['длина_пути_ср']:.0f}") + + + save_results_to_csv(results) + + return results + +def save_results_to_csv(results): + + filename = "resultslab.csv" + + with open(filename, 'w', newline='', encoding='utf-8-sig') as f: + writer = csv.DictWriter(f, fieldnames=[ + 'лабиринт', 'стратегия', 'время_ср', 'время_мин', 'время_макс', + 'посещено_ср', 'длина_пути_ср', 'путь_найден' + ]) + writer.writeheader() + writer.writerows(results) + + + + +def plot_results(results): + try: + import matplotlib.pyplot as plt + import numpy as np + + labyrinths = list(set(r['лабиринт'] for r in results)) + strategies = ['BFS', 'DFS', 'A'] + + + n_rows = 3 + n_cols = 2 + fig, axes = plt.subplots(n_rows, n_cols, figsize=(14, 12)) + axes = axes.flatten() + + for idx, lab in enumerate(labyrinths): + ax = axes[idx] + + times = [] + for strat in strategies: + for r in results: + if r['лабиринт'] == lab and r['стратегия'] == strat: + times.append(r['время_ср']) + break + + x = np.arange(len(strategies)) + bars = ax.bar(x, times, color=['#1a5632', '#0e5fb4', '#051f45']) + ax.set_title(f'{lab}') + ax.set_xticks(x) + ax.set_xticklabels(strategies) + ax.set_ylabel('Время (мс)') + + for bar, t in zip(bars, times): + ax.text(bar.get_x() + bar.get_width()/2, bar.get_height() + 0.5, + f'{t:.1f}', ha='center', va='bottom', fontsize=8) + + + if len(labyrinths) < len(axes): + axes[-1].set_visible(False) + + plt.tight_layout() + plt.savefig('maze_time_comparison.png', dpi=150) + plt.show() + + + + + plt.figure(figsize=(10, 6)) + + colors = ['#d8d262', '#0e5fb4', '#ed254e'] + + for idx, strat in enumerate(strategies): + lengths = [] + for lab in labyrinths: + for r in results: + if r['лабиринт'] == lab and r['стратегия'] == strat: + lengths.append(r['длина_пути_ср']) + break + + plt.plot(labyrinths, lengths, marker='o', label=strat, color=colors[idx]) # добавьте color + + + + plt.xlabel('Лабиринт') + plt.ylabel('Длина пути ') + plt.title('Сравнение длины найденного пути') + plt.legend() + plt.xticks(rotation=45) + plt.tight_layout() + plt.savefig('maze_path_length.png', dpi=150) + plt.show() + + except ImportError: + print("") + + +def print_analysis(results): + + + + strat_data = {} + for r in results: + strat = r['стратегия'] + if strat not in strat_data: + strat_data[strat] = {'time': [], 'visited': [], 'labyrinth': []} + strat_data[strat]['time'].append(r['время_ср']) + strat_data[strat]['visited'].append(r['посещено_ср']) + strat_data[strat]['labyrinth'].append(r['лабиринт']) + + + + for strat, data in strat_data.items(): + avg_time = sum(data['time']) / len(data['time']) + print(f" {strat}: среднее время {avg_time:.2f} мс") + + + print(" BFS медленный на большом лабсамый короткий путить находит") + print(" DFS быстрый, но не всегда самый короткий") + print(" A быстрый и находит самый короткий путь") + print(" без выхода лаб. стратегии самые медленные ") + print(" в пустом стратегии самые быстрые") + + +if __name__ == "__main__": + + results = run_all_experiments() + + + print_analysis(results) + + + try: + plot_results(results) + except: + print("") \ No newline at end of file diff --git a/BorisovMI/lab_2/docs/data/maze_empty.txt b/BorisovMI/lab_2/docs/data/maze_empty.txt new file mode 100644 index 0000000..d500666 --- /dev/null +++ b/BorisovMI/lab_2/docs/data/maze_empty.txt @@ -0,0 +1,50 @@ +s + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + e diff --git a/BorisovMI/lab_2/docs/data/maze_large.txt b/BorisovMI/lab_2/docs/data/maze_large.txt new file mode 100644 index 0000000..2247202 --- /dev/null +++ b/BorisovMI/lab_2/docs/data/maze_large.txt @@ -0,0 +1,100 @@ +s## # # # # # # # ### # ## # # # # # # ### # # # # # ### +# ## # ## ### ## # # ## ## # # # ### ## ## # +# ## # 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+можно добавить новые форматы (JSON, XML, бинарный); +код загрузки изолирован от остальной программы. + +### Strategy + +Для алгоритмов поиска пути использован паттерн Strategy +Создан общий интерфейс: +class PathFindingStrategy(): +Реализованы стратегии: +BFSStrategy; +DFSStrategy; +AStrategy; +Каждая стратегия реализует собственный алгоритм поиска пути по правилам. +Преимущества паттерна: +алгоритмы можно менять во время выполнения; +код MazeSolver не зависит от конкретного алгоритма; +новые алгоритмы можно добавлять без изменения существующего кода. + +### Observer + +Для уведомления интерфейса о событиях использован паттерн Observer +Создан интерфейс: +class Observer(): +и реализация: +class ConsoleView(Observer): +MazeSolver хранит список наблюдателей и уведомляет их о событиях: +начало поиска; +окончание поиска; +перемещение игрока. +Преимущества: +логика интерфейса отделена от логики поиска; +можно легко добавить графический интерфейс; + +### Command + +Для пошагового перемещения игрока использован паттерн Command. +Создан интерфейс: +class Command(): +и реализация: +class MoveCommand(Command): +Каждая команда умеет: +execute() — выполнить действие; +undo() — отменить действие +Преимущества: +поддержка undo; +возможность расширения системы команд + +## Листинги ключевых классов + +### Паттерн Strategy + +class PathFindingStrategy: + def findPath(self, maze, start, exit): + pass + + +class BFSStrategy(PathFindingStrategy): + def findPath(self, maze, start, exit): + if exit is None: + return [] + queue = deque([start]) + visited = {start} + parent = {start: None} + + while queue: + current = queue.popleft() + + if current == exit: + return self._reconstruct_path(parent, start, exit) + + for neighbor in maze.getNeighbors(current): + if neighbor not in visited: + visited.add(neighbor) + parent[neighbor] = current + queue.append(neighbor) + + return [] +class AStrategy(PathFindingStrategy): + def _heuristic(self, cell, exit): + if exit is None: + return 0 + return abs(cell.x - exit.x) + abs(cell.y - exit.y) + + def findPath(self, maze, start, exit): + if exit is None: + return [] + open_set = [] + heapq.heappush(open_set, (0, start)) + + came_from = {start: None} + g_score = {start: 0} + + while open_set: + current = heapq.heappop(open_set)[1] + + if current == exit: + return self._reconstruct_path(came_from, start, exit) + + for neighbor in maze.getNeighbors(current): + tentative_g = g_score[current] + 1 + + if neighbor not in g_score or tentative_g < g_score[neighbor]: + came_from[neighbor] = current + g_score[neighbor] = tentative_g + f_score = tentative_g + self._heuristic(neighbor, exit) + heapq.heappush(open_set, (f_score, neighbor)) + + return [] + +### Паттерн Command + +class Command: + def execute(self): pass + def undo(self): pass + +class MoveCommand(Command): + def __init__(self, player, direction, maze): + self.player = player + self.dx, self.dy = direction + self.maze = maze + self.executed = False + + def execute(self): + new_x = self.player.currentCell.x + self.dx + new_y = self.player.currentCell.y + self.dy + new_cell = self.maze.getCell(new_x, new_y) + if new_cell and new_cell.isPassable(): + self.player.moveTo(new_cell) + self.executed = True + return True + return False + + def undo(self): + if self.executed: + self.player.undoMove() + self.executed = False + return True + return False + + + +## Результаты + +| Лабиринт | Стратегия | Время (с) | Посещено | Длина пути | Путь найден | +|---|---|---|---|---| +| маленький (10x10) | BFS | 0.9148200158961117 | 19.0 | 19.0 | True | +| маленький (10x10) | DFS | 0.717819994315505 | 39.0 | 39.0 | True | +| маленький (10x10) | A | 1.577159995213151 | 19.0 | 19.0 | True | +| средний (50x50) | BFS | 14.496059995144606 | 99.0 | 99.0 | True | +| средний (50x50) | DFS | 8.470179990399629 | 393.0 | 393.0 |True | +| средний (50x50) | A | 9.11291999509558 | 99.0 |99.0 | True | +| большой (100x100) | BFS | 0.013179995585232973 | 0.0 | 0.0 | False | +| большой (100x100) | A | 0.013079994823783636 | 0.0 | 0.0 | False | +| пустой (50x50) | BFS | 29.2012800113298 | 99.0 | 99.0 | True | +| пустой (50x50) | DFS | 13.176999986171722 | 1275.0 | 1275.0 | True | +| пустой (50x50) | A | 50.366899999789894 | 99.0 | 99.0 | True | +| без выхода (20x20) | BFS | 0.004239997360855341 | 0.0 | 0.0 | False | +| без выхода (20x20) | DFS | 0.006399990525096655 | 0.0 | 0.0 | False | +| без выхода (20x20) | A | 0.008680007886141539 | 0.0 | 0.0 | False | + +### Графики + +![Сравнение длины](maze_path_length.png) + +![Сравнение времён](maze_time_comparison.png) + +## Анализ эффективности алгоритмов + +В ходе экспериментов были получены следующие результаты. + +### BFS +Преимущества: +всегда находит кратчайший путь; +простая реализация. +Недостатки: +посещает большое количество клеток; +требует много памяти. +Выходит, что наиболее эффективен в небольших невзвешенных лабиринтах. + +### DFS +Преимущества: +простая реализация; +самым быстрым находит произвольный путь. +Недостатки: +не гарантирует кратчайший путь; +может уходить в тупики. +Подходит для быстрого поиска любого решения. + +### A +Преимущества: +высокая скорость; +посещает меньше клеток; +Недостатки: +требует выбора хорошей эвристики. +Показал хорошие результаты на больших лабиринтах. + +## Анализ применимости паттернов + +### Builder +Без Builder код загрузки лабиринта был бы жёстко связан с классом Maze, а добавление нового формата потребовало бы изменения существующего кода. +Strategy +Без Strategy пришлось бы: +хранить все алгоритмы внутри одного класса; +использовать большое количество условных операторов; +изменять код MazeSolver при добавлении новых алгоритмов +Strategy помог полностью отделить алгоритмы друг от друга. + +### Observer +Без Observer логика интерфейса смешивалась бы с логикой поиска. +Это усложнило бы: +добавление GUI; +логирование; +визуализацию. + +### Command +Без Command было бы сложно реализовать: +undo; +историю действий; +расширяемую систему управления. + +## Выводы + +### В проекте были успешно реализованы: +загрузка лабиринта из файла; +несколько алгоритмов поиска пути; +визуализация; +система наблюдателей; +система команд; +экспериментальное сравнение алгоритмов. + +### Использование паттернов GoF позволило: +сделать архитектуру гибкой; +уменьшить связанность компонентов; +упростить расширение программы; +облегчить сопровождение кода. diff --git a/BorisovMI/lab_2/docs/data/resultslab.csv b/BorisovMI/lab_2/docs/data/resultslab.csv new file mode 100644 index 0000000..59c59d0 --- /dev/null +++ b/BorisovMI/lab_2/docs/data/resultslab.csv @@ -0,0 +1,16 @@ +лабиринт,стратегия,время_ср,время_мин,время_макс,посещено_ср,длина_пути_ср,путь_найден +маленький (10x10),BFS,0.9148200158961117,0.8840999798849225,0.9673000313341618,19.0,19.0,True +маленький (10x10),DFS,0.717819994315505,0.5779999773949385,0.8650000090710819,39.0,39.0,True +маленький (10x10),A,1.577159995213151,1.531599962618202,1.7019000370055437,19.0,19.0,True +средний (50x50),BFS,14.496059995144606,12.946999981068075,18.392199999652803,99.0,99.0,True +средний (50x50),DFS,8.470179990399629,7.544599997345358,9.55930002965033,393.0,393.0,True +средний (50x50),A,9.11291999509558,8.53859999915585,9.788900031708181,99.0,99.0,True +большой (100x100),BFS,0.013179995585232973,0.009100011084228754,0.026200024876743555,0.0,0.0,False +большой (100x100),DFS,0.012619991321116686,0.008300004992634058,0.026499968953430653,0.0,0.0,False +большой (100x100),A,0.013079994823783636,0.008699949830770493,0.027500034775584936,0.0,0.0,False +пустой (50x50),BFS,29.2012800113298,19.71900003263727,47.252200020011514,99.0,99.0,True +пустой (50x50),DFS,13.176999986171722,12.441499973647296,13.887099979911,1275.0,1275.0,True +пустой (50x50),A,50.366899999789894,47.1535999677144,60.296199982985854,99.0,99.0,True +без выхода (20x20),BFS,0.004239997360855341,0.002700020559132099,0.00909995287656784,0.0,0.0,False +без выхода (20x20),DFS,0.006399990525096655,0.003200024366378784,0.012699980288743973,0.0,0.0,False +без выхода (20x20),A,0.008680007886141539,0.005399982910603285,0.01810002140700817,0.0,0.0,False