diff --git a/.gitignore b/.gitignore index 5d381cc..a5eb158 100644 --- a/.gitignore +++ b/.gitignore @@ -160,3 +160,19 @@ cython_debug/ # option (not recommended) you can uncomment the following to ignore the entire idea folder. #.idea/ + +# Игнорируем CSV +aufgabe-1-data-structures/results/timedata_*.csv + +# разрешаем средние данные +!aufgabe-1-data-structures/results/aaverage_*.csv + +# Мусор LaTeX +*.aux +*.synctex.gz +*.toc +*.log + + + + diff --git a/ProninVV/aufgabe-1-data-structures/aufg1.py b/ProninVV/aufgabe-1-data-structures/aufg1.py new file mode 100644 index 0000000..6d108c8 --- /dev/null +++ b/ProninVV/aufgabe-1-data-structures/aufg1.py @@ -0,0 +1,250 @@ +# LInkedList (Node = List = {'name': 'Имя', 'phone': '123', 'next': None}) имена уникальные (id) + + +def ll_insert(head, name, phone): + + """ проходит до конца (или сразу добавляет в конец) и возвращает новую голову + (если вставка в начало) или изменяет список по ссылке. Удобнее возвращать новую + голову, если вставка может быть в начало """ + + new_node = {'name': name, 'phone': phone, 'next': None} + + # если списка не было + if head is None: + return new_node + + # # вставка в начало O(1) + # new_node = {'name': name, 'phone': phone, 'next': head} + # return new_node + + # вставка в конец O(n) + current = head + while current['next'] is not None: + # проверка существования данного идентификатора (обновляем запись) + if current['name'] == name: + current['phone'] = phone + return head + current = current['next'] + + # проверка на id + if current['name'] == name: + current['phone'] = phone + else: current['next'] = new_node + return head + + +def ll_find(head, name): + + """ ищет узел, возвращает телефон или None """ + + current = head + while current is not None: + if current['name'] == name: + return current['phone'] + current = current['next'] + + return None + + +def ll_delete(head, name): + + """ удаляет узел, возвращает новую голову """ + + if head is None: + return None + + # Удаление первого + if head['name'] == name: + new_head = head['next'] + head['next'] = None + return new_head + + # Если не первый + current = head + while current['next'] is not None: + if current['next']['name'] == name: + target = current['next'] + current['next'] = target['next'] + target['next'] = None + return head + current = current['next'] + + return head + + +def ll_list_all(head): + + """ собирает все записи в список и сортирует (сортировка вынесена отдельно) """ + + length = ll_Lenght(head) + new_list = [None]*length + current = head + for i in range(length): + new_list[i] = (current['name'], current['phone']) + current = current['next'] + sorten(new_list) + return new_list + + +# вспомогательные функции-------------------------------- +def ll_Lenght(head): + # длина связного списка + counter = 0 + curr = head + while curr: + counter += 1 + curr = curr['next'] + return counter + + +def sorten(arr): + n = len(arr) + for i in range(n): + for j in range(0, n - i - 1): + if arr[j][0] > arr[j + 1][0]: + arr[j], arr[j + 1] = arr[j + 1], arr[j] +# ----------------------------------------------------------- + +# HashTable (Хранится как список buckets фиксированной длины, каждый элемент — голова связного списка (или None)) + +def hash_table(size): + return [None]*size + + +def hash_func(name, buckets_count): + h = 0 + for char in name: + h += ord(char) + return h % buckets_count + + +def ht_insert(buckets, name, phone): + + """ вычисляет индекс, вызывает ll_insert для соответствующего бакета """ + + if buckets is None: + return + + index = hash_func(name, len(buckets)) + buckets[index] = ll_insert(buckets[index], name, phone) + + +def ht_find(buckets, name): + """ """ + idx = hash_func(name, len(buckets)) + return ll_find(buckets[idx], name) + + +def ht_delete(buckets, name): + idx = hash_func(name, len(buckets)) + buckets[idx] = ll_delete(buckets[idx], name) + + +def ht_list_all(buckets): + + """ собирает все записи из всех бакетов и сортирует """ + total_count = 0 + for head in buckets: + total_count += ll_Lenght(head) + + full_data = [None]*total_count + + k = 0 + for head in buckets: + curr = head + while curr: + full_data[k] = (curr['name'], curr['phone']) + k += 1 + curr = curr['next'] + + sorten(full_data) + return full_data + + +# Двоичное дерево поиска : Узел — словарь: {'name': 'Имя', 'phone': '123', 'left': None, 'right': None} + +def bst_insert(root, name, phone): + + """ рекурсивно или итеративно вставляет, возвращает новый корень (если корень меняется) """ + + new_node = {'name': name, 'phone': phone, 'left': None, 'right': None} + + # если дерева нет + if root is None: + return new_node + + if name < root['name']: + root['left'] = bst_insert(root['left'], name, phone) + elif name > root['name']: + root['right'] = bst_insert(root['right'], name, phone) + else: + root['phone'] = phone + return root + + +def bst_find(root, name): + + """ поиск """ + + if root is None: + return None + + if root['name'] == name: + return root['phone'] + + elif name < root['name']: + return bst_find(root['left'], name) + + elif name > root['name']: + return bst_find(root['right'], name) + + +def bst_delete(root, name): + + """ удаление, возвращает новый корень """ + + if root is None: + return None + + # спускаемся к нужному узлу (аналогично поиску) + elif name < root['name']: + root['left'] = bst_delete(root['left'], name) + + elif name > root['name']: + root['right'] = bst_delete(root['right'], name) + + # стоим в нужном узле + else: + # узла слева нет (вернет правого ребенка или None) + if root['left'] is None: + return root['right'] + + # узла справа нет (вернет левого ребенка) + if root['right'] is None: + return root['left'] + + # два наследника (поиск минимального поддерева в правой ветке) + + successor = root['right'] + while successor['left'] is not None: + successor = successor['left'] + + root['name'] = successor['name'] + root['phone'] = successor['phone'] + # Удаляем дубликат преемника в правом поддереве + root['right'] = bst_delete(root['right'], successor['name']) + + + return root + + +def bst_list_all(root, result=None): + """ центрированный обход (рекурсивно собирает записи в отсортированном порядке) """ + if result is None: + result = [] + # сначала спускаемся по левой стороне вниз, затем идем вверх и вправо + if root is not None: + bst_list_all(root['left'], result) + result.append((root['name'], root['phone'])) + bst_list_all(root['right'], result) + return result diff --git a/ProninVV/aufgabe-1-data-structures/data_analysis.py b/ProninVV/aufgabe-1-data-structures/data_analysis.py new file mode 100644 index 0000000..f6878f6 --- /dev/null +++ b/ProninVV/aufgabe-1-data-structures/data_analysis.py @@ -0,0 +1,20 @@ +import pandas as pd +import glob + +folder_path = 'results' + +sizes = ['500', '1000', '2000', '5000', '10000'] + + +for size in sizes: + files = glob.glob(f'{folder_path}/timedata_{size}_epochs_*.csv') + + data = [pd.read_csv(f)['Время (сек)'] for f in files] + + datatomean = pd.concat(data, axis=1) + datamean = datatomean.mean(axis=1) + + df = pd.read_csv(files[0]) + df['Время (сек)'] = datamean + + df.to_csv(f'results/aaverage_timedata_{size}.csv', index=False) diff --git a/ProninVV/aufgabe-1-data-structures/graphiki.py b/ProninVV/aufgabe-1-data-structures/graphiki.py new file mode 100644 index 0000000..b5006ad --- /dev/null +++ b/ProninVV/aufgabe-1-data-structures/graphiki.py @@ -0,0 +1,94 @@ +import pandas as pd +import matplotlib.pyplot as plt +from matplotlib.ticker import AutoMinorLocator + +df500 = pd.read_csv("results/aaverage_timedata_500.csv") +df1000 = pd.read_csv("results/aaverage_timedata_1000.csv") +df2000 = pd.read_csv("results/aaverage_timedata_2000.csv") +df5000 = pd.read_csv("results/aaverage_timedata_5000.csv") +df10000 = pd.read_csv("results/aaverage_timedata_10000.csv") + + +def select_data_list(ax): + dfs = [df500, df1000, df2000, df5000, df10000] + Nvals = [500, 1000, 2000, 5000, 10000] + # delete, find, insert + # список: + valsSort = [list(arr[(arr['Структура'] == "linklist") & (arr['Режим'] == "sorted")]["Время (сек)"]) for arr in dfs] + valsShuff = [list(arr[(arr['Структура'] == "linklist") & (arr['Режим'] == "shuffled")]["Время (сек)"]) for arr in dfs] + # 0 - sorted 1 - shuffled + # delete + ax[0].plot(Nvals, [row[0] for row in valsSort], label="delete", color='red') + ax[1].plot(Nvals, [row[0] for row in valsShuff], color='red') + # find + ax[0].plot(Nvals, [row[1] for row in valsSort], label="find", color='blue') + ax[1].plot(Nvals, [row[1] for row in valsShuff], color='blue') + # insert + ax[0].plot(Nvals, [row[2] for row in valsSort], label="insert", color='green') + ax[1].plot(Nvals, [row[2] for row in valsShuff], color='green') + + +def select_data_hasht(ax): + dfs = [df500, df1000, df2000, df5000, df10000] + Nvals = [500, 1000, 2000, 5000, 10000] + # delete, find, insert + # список: + valsSort = [list(arr[(arr['Структура'] == "hashtable") & (arr['Режим'] == "sorted")]["Время (сек)"]) for arr in dfs] + valsShuff = [list(arr[(arr['Структура'] == "hashtable") & (arr['Режим'] == "shuffled")]["Время (сек)"]) for arr in dfs] + # 0 - sorted 1 - shuffled + # delete + ax[0].plot(Nvals, [row[0] for row in valsSort], label="delete", color='red') + ax[1].plot(Nvals, [row[0] for row in valsShuff], color='red') + # find + ax[0].plot(Nvals, [row[1] for row in valsSort], label="find", color='blue') + ax[1].plot(Nvals, [row[1] for row in valsShuff], color='blue') + # insert + ax[0].plot(Nvals, [row[2] for row in valsSort], label="insert", color='green') + ax[1].plot(Nvals, [row[2] for row in valsShuff], color='green') + + +def select_data_tree(ax): + dfs = [df500, df1000, df2000, df5000, df10000] + Nvals = [500, 1000, 2000, 5000, 10000] + # delete, find, insert + # список: + valsSort = [list(arr[(arr['Структура'] == "bintree") & (arr['Режим'] == "sorted")]["Время (сек)"]) for arr in dfs] + valsShuff = [list(arr[(arr['Структура'] == "bintree") & (arr['Режим'] == "shuffled")]["Время (сек)"]) for arr in dfs] + # 0 - sorted 1 - shuffled + # delete + ax[0].plot(Nvals, [row[0] for row in valsSort], label="delete", color='red') + ax[1].plot(Nvals, [row[0] for row in valsShuff], color='red') + # find + ax[0].plot(Nvals, [row[1] for row in valsSort], label="find", color='blue') + ax[1].plot(Nvals, [row[1] for row in valsShuff], color='blue') + # insert + ax[0].plot(Nvals, [row[2] for row in valsSort], label="insert", color='green') + ax[1].plot(Nvals, [row[2] for row in valsShuff], color='green') + +# построение графика +def design_show_graph(title, version, ymaxlim): + fig, ax = plt.subplots(figsize=(10, 5), nrows=1, ncols=2) + for i in range(2): + match title: + case "Tree": + select_data_tree(ax) + case "Linklist": + select_data_list(ax) + case "hasht": + select_data_hasht(ax) + ax[0].set_title(f"График сложностей для {title} (sort)") + ax[1].set_title(f"График сложностей для {title} (shuff)") + ax[i].set_xlabel("N") + ax[i].set_ylabel("сек * ") + ax[i].grid(which="major", linewidth=1.5) + ax[i].grid(which="minor", color="gray", linewidth=0.5) + ax[i].xaxis.set_minor_locator(AutoMinorLocator()) + ax[i].yaxis.set_minor_locator(AutoMinorLocator()) + ax[i].legend() + ax[i].set_ylim(0, ymaxlim) + plt.savefig(f'graphics\{title}{version}.png', dpi=200) + plt.savefig(f'graphics\T{title}{version}.eps', dpi=200) + plt.show() + + +design_show_graph("hasht", 2, 0.4) \ No newline at end of file diff --git a/ProninVV/aufgabe-1-data-structures/report/document.pdf b/ProninVV/aufgabe-1-data-structures/report/document.pdf new file mode 100644 index 0000000..2563511 Binary files /dev/null and b/ProninVV/aufgabe-1-data-structures/report/document.pdf differ diff --git a/ProninVV/aufgabe-1-data-structures/report/document.tex b/ProninVV/aufgabe-1-data-structures/report/document.tex new file mode 100644 index 0000000..4a6acf7 --- /dev/null +++ b/ProninVV/aufgabe-1-data-structures/report/document.tex @@ -0,0 +1,136 @@ +\input{preambule.tex} + + + + +\begin{document} + + % --- ТИТУЛЬНЫЙ ЛИСТ (упрощенно) --- + \begin{titlepage} + \centering + МИНИСТЕРСТВО НАУКИ И ВЫСШЕГО ОБРАЗОВАНИЯ РФ \\ + «Национальный исследовательский Нижегородский государственный университет им. Н.И. Лобачевского» \\ + \vspace{4cm} + \Large ОТЧЕТ К ЛАБОРАТОРНОЙ РАБОТЕ \\ + \vspace{1cm} + \large «Реализация и экспериментальное сравнение базовых структур данных на примере телефонного справочника» \\ + \vspace{4cm} + \flushright + Выполнил: студент В. В. Пронин \\ + Преподаватель: Н. С. Морозов \\ + \vfill + Нижний Новгород \\ + 2024 + \end{titlepage} + + \newpage + \tableofcontents + \newpage + + \section{Введение} + + Эффективность программных систем во многом определяется выбором способов организации данных в оперативной памяти. Задача разработки телефонного справочника является классическим примером, требующим баланса между скоростью вставки новых записей, поиском по ключу и эффективным удалением. + + В рамках данной работы исследуются три фундаментальные структуры данных, реализованные «с нуля» в процедурной парадигме программирования на языке Python: + \begin{itemize} + \item \textbf{Связный список (Linked List)} --- динамическая структура, позволяющая оценить базовые механизмы управления указателями и демонстрирующая линейную сложность операций $O(n)$. + \item \textbf{Хеш-таблица (Hash Table)} --- ассоциативный массив, использующий хеширование для обеспечения прямого доступа к данным. Реализация позволяет изучить методы разрешения коллизий и преимущества константной сложности $O(1)$. + \item \textbf{Двоичное дерево поиска (BST)} --- иерархическая структура, обеспечивающая логарифмическую скорость доступа $O(\log n)$ и поддерживающая упорядоченность данных «из коробки». + \end{itemize} + + \textbf{Цель работы:} Изучить внутренние алгоритмы работы перечисленных структур, реализовать их без использования встроенных высокоуровневых контейнеров и экспериментально подтвердить теоретические оценки временной сложности на случайных и отсортированных наборах данных. + + \section{Реализация структур данных} + \subsection{Связный список} + % Здесь опишите логику ll_insert, ll_find и ll_delete + \subsection{Хеш-таблица} + % Опишите хеш-функцию и метод цепочек + \subsection{Двоичное дерево поиска} + % Опишите рекурсивные алгоритмы и проблему деградации + + \section{Методика эксперимента} + Замеры производились для наборов данных объемом $N=500, 1000, 2000, 5000, 10000$ элементов. Использовались два сценария: перемешанные (\textit{shuffled}) и отсортированные по алфавиту (\textit{sorted}) записи. Каждая операция выполнялась 5 раз с последующим вычислением среднего арифметического значения с помощью функции \texttt{time.perf\_counter()}. + + \section{Результаты и анализ} + Было проведено серию опытов для $N$ от 500 до 10000. + \subsection*{1. Бинарное дерево поиска (BST) и влияние порядка} + + \begin{figure}[H] + \centering + \includegraphics[scale=0.7]{plots/TTree1.eps} + \caption{Зависимость времени выполнения операций в BST от объема данных} + \end{figure} + + \begin{figure}[H] + \centering + \includegraphics[scale=0.7]{plots/TTree2.eps} + \end{figure} + + \begin{itemize} + \item \textbf{Деградация на отсортированных данных:} При вставке отсортированных данных время увеличилось с \textbf{0.124с} ($N=1000$) до \textbf{13.27с} ($N=10000$). Рост времени в 100 раз при увеличении объема данных в 10 раз четко указывает на квадратичную сложность $O(n^2)$ для процесса заполнения всей структуры. Дерево выродилось в линейный список, и поиск места вставки стал занимать $O(n)$ вместо ожидаемого $O(\log n)$. + \item \textbf{Эффективность на перемешанных данных:} На \texttt{shuffled} данных вставка 10000 элементов заняла всего \textbf{0.031с}. Это подтверждает логарифмическую сложность $O(\log n)$ для операций в дереве при случайном распределении ключей. + \end{itemize} + + \subsection*{2. Хеш-таблица: Стабильность и скорость} + + \begin{figure}[H] + \centering + \includegraphics[scale=0.7]{plots/Thasht1.eps} + \end{figure} + + \begin{figure}[H] + \centering + \includegraphics[scale=0.7]{plots/Thasht2.eps} + \end{figure} + + \begin{itemize} + \item \textbf{Чувствительность к порядку:} Хеш-таблица показала идентичные результаты как на \texttt{shuffled}, так и на \texttt{sorted} данных (около \textbf{0.165с} -- \textbf{0.167с} для 10000 вставок). Это объясняется тем, что хеш-функция распределяет ключи по бакетам независимо от их исходного порядка, предотвращая деградацию структуры. + \item \textbf{Превосходство:} На больших объемах хеш-таблица оказалась самой быстрой структурой для поиска и удаления ($\approx 0.001$с при $N=10000$), что подтверждает теоретическую среднюю сложность $O(1)$. + \item \textbf{Замечание:} Так как реализация использует списки для разрешения коллизий со вставкой в конец, при заполнении таблицы наблюдается рост времени вставки, стремящийся к квадратичному, однако абсолютные значения остаются на порядки ниже, чем у выродившегося BST. + \end{itemize} + \subsection*{3. Связный список: Линейная зависимость} + \begin{figure}[H] + \centering + \includegraphics[scale=0.7]{plots/Tlinklist1.eps} + \end{figure} + + \begin{figure}[H] + \centering + \includegraphics[scale=0.7]{plots/Tlinklist2.eps} + \end{figure} + + \begin{itemize} + \item \textbf{Поиск и удаление:} Связный список показал худшие результаты среди всех структур на случайных данных. Время поиска при 10000 элементах (\textbf{0.029с}) значительно медленнее, чем у BST на перемешанных данных (\textbf{0.0002с}). Это подтверждает линейную сложность $O(n)$. + \item \textbf{Вставка:} Вставка (вероятно, в конец или с сохранением порядка) дает $O(n^2)$ при заполнении (\textbf{2.83с} -- \textbf{3.00с} на 10000 эл.). Характер роста времени при переходе от $N=5000$ (\textbf{0.71с}) к $N=10000$ подтверждает квадратичную зависимость. + \end{itemize} + + \subsection*{Вывод: выбор структуры данных} + \begin{enumerate} + \item \textbf{Хеш-таблица} — наиболее универсальный выбор. Она обеспечивает стабильное $O(1)$ для поиска и не зависит от порядка входящих данных. + \item \textbf{BST} — крайне эффективен ($O(\log n)$) при случайном распределении данных, но без механизмов самобалансировки критически уязвим к отсортированным входным последовательностям, замедляясь до уровня списка. + \item \textbf{Связный список} — продемонстрировал самую низкую производительность на операциях поиска и массовой вставки. Его использование оправдано только в специфических сценариях (например, реализация стека), где работа ведется исключительно с головой списка за $O(1)$. + \end{enumerate} + + + \subsection*{Сводная таблица результатов} + \begin{table}[H] + \centering + \small + \begin{tabular}{|l|l|c|c|c|c|c|} + \hline + \textbf{Структура} & \textbf{Режим} & \textbf{Опер.} & \textbf{N=500} & \textbf{N=1000} & \textbf{N=5000} & \textbf{N=10000} \\ \hline + \multirow{3}{*}{LinkList} & Shuffled & Insert & 0.0066 & 0.0292 & 0.7089 & 2.8358 \\ + & Shuffled & Find & 0.0012 & 0.0026 & 0.0147 & 0.0289 \\ + & Sorted & Insert & 0.0065 & 0.0290 & 0.7637 & 3.0042 \\ \hline + \multirow{3}{*}{HashTable} & Shuffled & Insert & 0.0007 & 0.0022 & 0.0468 & 0.1670 \\ + & Shuffled & Find & 0.0001 & 0.0002 & 0.0008 & 0.0014 \\ + & Sorted & Insert & 0.0007 & 0.0022 & 0.0448 & 0.1646 \\ \hline + \multirow{3}{*}{BinTree} & Shuffled & Insert & 0.0009 & 0.0021 & 0.0145 & 0.0309 \\ + & Shuffled & Find & 0.0001 & 0.0001 & 0.0002 & 0.0002 \\ + & Sorted & Insert & \textbf{0.0298} & \textbf{0.1239} & \textbf{3.3052} & \textbf{13.2706} \\ \hline + \end{tabular} + \caption{Сравнение минимального времени выполнения операций (в секундах) в зависимости от объема данных $N$} + \end{table} + + +\end{document} diff --git a/ProninVV/aufgabe-1-data-structures/report/plots/TLinklist1.eps b/ProninVV/aufgabe-1-data-structures/report/plots/TLinklist1.eps new file mode 100644 index 0000000..eec390a --- /dev/null +++ b/ProninVV/aufgabe-1-data-structures/report/plots/TLinklist1.eps @@ -0,0 +1,5099 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%LanguageLevel: 3 +%%Title: TLinklist1.eps +%%Creator: Matplotlib v3.10.0, https://matplotlib.org/ +%%CreationDate: Tue Mar 24 18:05:26 2026 +%%Orientation: portrait +%%BoundingBox: 0 0 720 360 +%%HiResBoundingBox: 0.000000 0.000000 720.000000 360.000000 +%%EndComments +%%BeginProlog +/mpldict 9 dict def +mpldict begin +/_d { bind def } bind def +/m { moveto } _d +/l { lineto } _d +/r { rlineto } _d +/c { 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a/ProninVV/aufgabe-1-data-structures/report/preambule.tex b/ProninVV/aufgabe-1-data-structures/report/preambule.tex new file mode 100644 index 0000000..a017e55 --- /dev/null +++ b/ProninVV/aufgabe-1-data-structures/report/preambule.tex @@ -0,0 +1,46 @@ +%\documentclass[a4paper, 12pt]{article} +\documentclass[a4paper, 14pt]{extarticle} + +\usepackage[english, russian]{babel} +\usepackage[T2A]{fontenc} +\usepackage[utf8]{inputenc} +\usepackage{comment} + +\usepackage{multirow} +\usepackage{fontspec} +\setmainfont{Times New Roman} + +\usepackage{amsmath} +\usepackage{amssymb} + +\usepackage{geometry} +\usepackage{titleps} +\usepackage{graphicx} +\DeclareGraphicsExtensions{.pdf, .jpg} +\usepackage{wrapfig} + + +\usepackage{indentfirst} + + +\geometry{top=20mm} +\geometry{bottom=25mm} +\geometry{left=30mm} +\geometry{right=10mm} + +\usepackage{float} +\usepackage{wrapfig} + +\newpagestyle{main}{ + \setheadrule{0.4pt} + \sethead{ННГУ им Н.И. Лобачесвкого}{}{В. В. Пронин} + + \setfoot{}{\thepage}{} +} +\pagestyle{main} +%\setcounter{page}{2} + +\linespread{1.5} +\setlength{\parindent}{10mm} +\setlength{\parskip}{1ex} + diff --git a/ProninVV/aufgabe-1-data-structures/results/aaverage_timedata_1000.csv b/ProninVV/aufgabe-1-data-structures/results/aaverage_timedata_1000.csv new file mode 100644 index 0000000..5a22ff3 --- /dev/null +++ b/ProninVV/aufgabe-1-data-structures/results/aaverage_timedata_1000.csv @@ -0,0 +1,19 @@ +Структура,Режим,Операция,Время (сек) +linklist,shuffled,insert,0.02917951999970676 +linklist,shuffled,find,0.00256621999997146 +linklist,shuffled,delete,0.0018302000000403 +hashtable,shuffled,insert,0.00223439999972464 +hashtable,shuffled,find,0.00018408000032643998 +hashtable,shuffled,delete,0.00013254000023147998 +bintree,shuffled,insert,0.00211651999998134 +bintree,shuffled,find,0.00014015999986434 +bintree,shuffled,delete,7.299999997485429e-05 +linklist,sorted,insert,0.02902601999994654 +linklist,sorted,find,0.00272362000014248 +linklist,sorted,delete,0.0017690399998172598 +hashtable,sorted,insert,0.00219620000007122 +hashtable,sorted,find,0.00018717999992074 +hashtable,sorted,delete,0.00011756000003512 +bintree,sorted,insert,0.12391134000008604 +bintree,sorted,find,0.0079993400002422 +bintree,sorted,delete,0.004170019999764881 diff --git a/ProninVV/aufgabe-1-data-structures/results/aaverage_timedata_10000.csv b/ProninVV/aufgabe-1-data-structures/results/aaverage_timedata_10000.csv new file mode 100644 index 0000000..ff2bf75 --- /dev/null +++ b/ProninVV/aufgabe-1-data-structures/results/aaverage_timedata_10000.csv @@ -0,0 +1,19 @@ +Структура,Режим,Операция,Время (сек) +linklist,shuffled,insert,2.835846880000099 +linklist,shuffled,find,0.02894071999999136 +linklist,shuffled,delete,0.017179720000240158 +hashtable,shuffled,insert,0.16700972000016914 +hashtable,shuffled,find,0.0014067599999179402 +hashtable,shuffled,delete,0.00103095999966166 +bintree,shuffled,insert,0.030944720000115878 +bintree,shuffled,find,0.00019450000017964003 +bintree,shuffled,delete,9.787999988471869e-05 +linklist,sorted,insert,3.0041990600000643 +linklist,sorted,find,0.02895102000002222 +linklist,sorted,delete,0.016321099999913664 +hashtable,sorted,insert,0.16461017999990868 +hashtable,sorted,find,0.0014511600000332201 +hashtable,sorted,delete,0.0010335000002669001 +bintree,sorted,insert,13.270635900000162 +bintree,sorted,find,0.08588061999998894 +bintree,sorted,delete,0.04398507999994758 diff --git a/ProninVV/aufgabe-1-data-structures/test.py b/ProninVV/aufgabe-1-data-structures/test.py new file mode 100644 index 0000000..d2167b1 --- /dev/null +++ b/ProninVV/aufgabe-1-data-structures/test.py @@ -0,0 +1,140 @@ +from aufg1 import * +import time +import random +import sys +import csv + +sys.setrecursionlimit(20000) + +def phone_number_generate(): + number = "8" + text = "0123456789" + for i in range(10): + char = random.choice(text) + number += char + return number + +def create_data(n=100): + + """ создаем сразу обычный массив и остортированный """ + + records_sorted = [] + for i in range(n): + name = f"User_{i:05d}" + phone = phone_number_generate() + records_sorted.append((name, phone)) + + records_shuffled = records_sorted[:] + random.shuffle(records_shuffled) + return records_sorted, records_shuffled + + +def run_expirement(epoch=1, elements=1000): + + """ распределяем данные по трем структурам данных + тестируем время операций (вставки, удаления, перебора) и записываем полученные результаты в файл """ + header = ["Структура", "Режим", "Операция", "Время (сек)"] + + for j in range(epoch): + print(f"эпоха - {j+1}") + + results = [header] + # создаем данные + records_sorted, records_shuffled = create_data(elements) + + datasets = [ + ("shuffled", records_shuffled), + ("sorted", records_sorted)] + + # сразу будем обрабатывать и случайны и отсортированный данные + for label, arr in datasets: + + linklist = None + hashtab = hash_table(elements) + bintree = None + # заполнение связного списка + start = time.perf_counter() + for p in arr: + linklist = ll_insert(linklist, p[0], p[1]) + end = time.perf_counter() + results.append(["linklist", label, "insert", end-start]) + + # поиск 110 имен в связном списке + # несуществующие данные + nonedata = [(f"None_{i}", phone_number_generate()) for i in range(10)] + # случайная комбинация + chaossample = random.sample(arr, 100) + nonedata + start = time.perf_counter() + for p in chaossample: + ll_find(linklist, p[0]) + end = time.perf_counter() + results.append(["linklist", label, "find", end-start]) + + # удаление 50 имен в св писке + deldata = random.sample(arr, 50) + start = time.perf_counter() + for p in deldata: + ll_delete(linklist, p[0]) + end = time.perf_counter() + results.append(["linklist", label, "delete", end-start]) + + # заполнение хэш-тфблицы + start = time.perf_counter() + for p in arr: + ht_insert(hashtab, p[0], p[1]) + end = time.perf_counter() + results.append(["hashtable", label, "insert", end-start]) + + # поиск 110 имен в хэш таблице + # несуществующие данные + nonedata = [(f"None_{i}", phone_number_generate()) for i in range(10)] + # случайная комбинация + chaossample = random.sample(arr, 100) + nonedata + start = time.perf_counter() + for p in chaossample: + ht_find(hashtab, p[0]) + end = time.perf_counter() + results.append(["hashtable", label, "find", end-start]) + + # удаление 50 имен в хэш таблице + deldata = random.sample(arr, 50) + start = time.perf_counter() + for p in deldata: + ht_delete(hashtab, p[0]) + end = time.perf_counter() + results.append(["hashtable", label, "delete", end-start]) + + # заполнение дерева + start = time.perf_counter() + for p in arr: + bintree = bst_insert(bintree, p[0], p[1]) + end = time.perf_counter() + results.append(["bintree", label, "insert", end-start]) + + # поиск 110 имен в дереве + # несуществующие данные + nonedata = [(f"None_{i}", phone_number_generate()) for i in range(10)] + # случайная комбинация + chaossample = random.sample(arr, 100) + nonedata + start = time.perf_counter() + for p in chaossample: + bst_find(bintree, p[0]) + end = time.perf_counter() + results.append(["bintree", label, "find", end-start]) + + # удаление 50 имен в дереве + deldata = random.sample(arr, 50) + start = time.perf_counter() + for p in deldata: + bst_delete(bintree, p[0]) + end = time.perf_counter() + results.append(["bintree", label, "delete", end-start]) + + filename = f"results/timedata_{elements}_epochs_{j+1}.csv" + with open(filename, mode='w', encoding='utf-8', newline='') as file: + writer = csv.writer(file) + writer.writerows(results) + + + +run_expirement(epoch=5, elements=5000) \ No newline at end of file