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ИСЭбд-41 Никифорова Татьяна Сергеевна. + +## Создание приложения + +Выбрала язык Python. + +Запустим алгоритм с матрицей 3x3 c различными алгоритмами. + +![](picture/1.png) +![](picture/2.png) + +## Бенчмарки + +Протекстируем обычный и паралелльный с различными размерами матриц. + +Матрица 5х5 + +![](picture/31.png) +![](picture/41.png) + +Матрица 8х8 + +![](picture/3.png) +![](picture/4.png) + + +Вывод: Скоростные возможности параллельного алгоритма проявляются только при значительном количестве операций. В случае, если операций меньше, стандартный алгоритм может оказаться более быстрым. + + + + + diff --git a/tasks/nikiforova-ts/Lab_6/picture/1.png b/tasks/nikiforova-ts/Lab_6/picture/1.png new file mode 100644 index 0000000..cb33ff1 Binary files /dev/null and b/tasks/nikiforova-ts/Lab_6/picture/1.png differ diff --git a/tasks/nikiforova-ts/Lab_6/picture/2.png b/tasks/nikiforova-ts/Lab_6/picture/2.png new file mode 100644 index 0000000..1062df9 Binary files /dev/null and b/tasks/nikiforova-ts/Lab_6/picture/2.png differ diff --git a/tasks/nikiforova-ts/Lab_6/picture/3.png b/tasks/nikiforova-ts/Lab_6/picture/3.png new file mode 100644 index 0000000..e53ea2e Binary files /dev/null and b/tasks/nikiforova-ts/Lab_6/picture/3.png differ diff --git a/tasks/nikiforova-ts/Lab_6/picture/31.png b/tasks/nikiforova-ts/Lab_6/picture/31.png new file mode 100644 index 0000000..b7d0988 Binary files /dev/null and b/tasks/nikiforova-ts/Lab_6/picture/31.png differ diff --git a/tasks/nikiforova-ts/Lab_6/picture/4.png b/tasks/nikiforova-ts/Lab_6/picture/4.png new file mode 100644 index 0000000..fc92054 Binary files /dev/null and b/tasks/nikiforova-ts/Lab_6/picture/4.png differ diff --git a/tasks/nikiforova-ts/Lab_6/picture/41.png b/tasks/nikiforova-ts/Lab_6/picture/41.png new file mode 100644 index 0000000..46dc3a6 Binary files /dev/null and b/tasks/nikiforova-ts/Lab_6/picture/41.png differ diff --git a/tasks/nikiforova-ts/Lab_6/work/Lab6.py b/tasks/nikiforova-ts/Lab_6/work/Lab6.py new file mode 100644 index 0000000..035375e --- /dev/null +++ b/tasks/nikiforova-ts/Lab_6/work/Lab6.py @@ -0,0 +1,145 @@ +import tkinter as tk +from tkinter import ttk +import numpy as np +from multiprocessing import cpu_count, Pool +import time + +class DeterminantCalculator: + def __init__(self, root): + self.root = root + self.root.title("Determinant Calculator") + + self.matrix_size_label = ttk.Label(root, text="Matrix Size:") + self.matrix_size_label.grid(row=0, column=0, padx=10, pady=10) + + self.matrix_size_entry = ttk.Entry(root) + self.matrix_size_entry.grid(row=0, column=1, padx=10, pady=10) + + self.algorithm_label = ttk.Label(root, text="Algorithm:") + self.algorithm_label.grid(row=1, column=0, padx=10, pady=10) + + self.algorithm_var = tk.StringVar() + self.algorithm_var.set("Normal") + self.algorithm_menu = ttk.Combobox(root, textvariable=self.algorithm_var, values=["Normal", "Parallel"]) + self.algorithm_menu.grid(row=1, column=1, padx=10, pady=10) + + self.num_threads_label = ttk.Label(root, text="Number of Threads:") + self.num_threads_label.grid(row=2, column=0, padx=10, pady=10) + + self.num_threads_entry = ttk.Entry(root) + self.num_threads_entry.insert(0, str(cpu_count())) + self.num_threads_entry.grid(row=2, column=1, padx=10, pady=10) + + self.generate_and_calculate_button = ttk.Button(root, text="Generate Matrix and Calculate Determinant", command=self.generate_and_calculate_determinant) + self.generate_and_calculate_button.grid(row=3, column=0, columnspan=2, pady=10) + + self.result_label = ttk.Label(root, text="Result:") + self.result_label.grid(row=4, column=0, padx=10, pady=10) + + self.time_label = ttk.Label(root, text="Time (s):") + self.time_label.grid(row=5, column=0, padx=10, pady=10) + + self.matrix_label = ttk.Label(root, text="") + self.matrix_label.grid(row=6, column=0, columnspan=2, pady=10) + + self.det_result = None # Глобальная переменная для хранения результата + + def generate_matrix(self, size): + matrix = np.random.randint(1, 10, size=(size, size)) + return matrix + + def show_random_matrix(self, matrix): + self.matrix_label.config(text=f"Random Matrix:\n{matrix}") + + def calculate_determinant_parallel(self, matrix, num_threads): + size = len(matrix) + + if size == 1: + return matrix[0, 0], 0 + + result = RawArray('d', [0.0]) # Разделяемый массив для хранения результата + lock_object = np.ones(1) # Использование numpy для создания объекта блокировки + + def calculate_submatrix(i): + nonlocal result + sub_matrix = self.get_submatrix(matrix, i) + sub_determinant = matrix[0, i] * self.calculate_determinant(sub_matrix) + + with lock_object.get_lock(): + result[0] += (-1) ** i * sub_determinant + + with Pool(processes=num_threads) as pool: + start_time = time.time() + pool.map(calculate_submatrix, range(size)) + end_time = time.time() + + return result[0], end_time - start_time + + # ваш существующий код + + def get_submatrix(self, matrix, column_index): + size = len(matrix) + sub_matrix = np.zeros((size - 1, size - 1)) + + for i in range(1, size): + for j in range(size): + if j < column_index: + sub_matrix[i - 1, j] = matrix[i, j] + elif j > column_index: + sub_matrix[i - 1, j - 1] = matrix[i, j] + + return sub_matrix + + def calculate_determinant_group(self, matrix, row, col): + sign = (-1) ** (row + col) + minor = np.delete(np.delete(np.array(matrix), row, axis=0), col, axis=1) + det_minor = self.calculate_determinant(minor) + return sign * matrix[row][col] * det_minor + + def calculate_determinant(self, matrix=None): + if matrix is None: + matrix_size = int(self.matrix_size_entry.get()) + matrix = self.generate_matrix(matrix_size) + + size = len(matrix) + if size == 1: + return matrix[0][0] + elif size == 2: + return matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0] + else: + det = 0 + for col in range(size): + sign = (-1) ** col + minor = np.delete(np.array(matrix), 0, axis=0) + minor = np.delete(minor, col, axis=1) + det += sign * matrix[0][col] * self.calculate_determinant(minor) + return det + + def generate_and_calculate_determinant(self): + matrix_size = int(self.matrix_size_entry.get()) + algorithm = self.algorithm_var.get() + num_threads = int(self.num_threads_entry.get()) + + random_matrix = self.generate_matrix(matrix_size) + self.show_random_matrix(random_matrix) + + if algorithm == "Parallel": + det, time_taken = self.calculate_determinant_parallel(random_matrix, num_threads) + else: + start_time = time.time() + det = self.calculate_determinant(random_matrix) + time_taken = time.time() - start_time + + result_str = f"Determinant: {det}" + self.result_label.config(text=result_str) + + time_str = f"Time (s): {time_taken:.6f}" + self.time_label.config(text=time_str) + + # Используем глобальную переменную для отображения результата в методе generate_and_calculate_determinant + self.det_result = det + +if __name__ == "__main__": + root = tk.Tk() + app = DeterminantCalculator(root) + root.mainloop()