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# Отчёт по лабораторной работе №5
Выполнила: студентка гр. ИСЭбд-41 Никифорова Татьяна Сергеевна.
## Создание приложения
Выбрала язык Python.
Запустим алгоритм с матрицей 10x10 c различными алгоритмами.
![](picture/1.png)
![](picture/2.png)
## Бенчмарки
Протекстируем обычный и паралелльный с различными размерами матриц.
Матрица 100х100
![](picture/3-100.png)
![](picture/4.png)
Матрица 300х300
![](picture/5-300.png)
![](picture/6.png)
Матрица 500х500
![](picture/7-500.png)
![](picture/8.png)
Вывод: Для небольших матриц и с небольшим количеством ядер процессора параллельная реализация может не всегда оказаться быстрее из-за дополнительных накладных расходов.

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import numpy as np
import tkinter as tk
from tkinter import ttk
from multiprocessing import Pool
import time
def multiply_matrices_sequential(matrix_a, matrix_b):
return np.dot(matrix_a, matrix_b)
def multiply_matrices_parallel(args):
row, matrix_a, matrix_b, cols = args
return [sum(matrix_a[row, k] * matrix_b[k, col] for k in range(cols)) for col in range(cols)]
def multiply_matrices(matrix_size, parallel=False, num_threads=None):
matrix_a = np.random.randint(1, 10, size=(matrix_size, matrix_size)) # Генерация целых чисел от 1 до 10
matrix_b = np.random.randint(1, 10, size=(matrix_size, matrix_size))
if parallel:
start_time = time.time()
args = [(row, matrix_a, matrix_b, matrix_size) for row in range(matrix_size)]
with Pool(num_threads) as pool:
result = np.array(pool.map(multiply_matrices_parallel, args))
end_time = time.time()
else:
start_time = time.time()
result = multiply_matrices_sequential(matrix_a, matrix_b)
end_time = time.time()
execution_time = end_time - start_time
return matrix_a, matrix_b, result, execution_time
def run_multiplication():
matrix_size = int(matrix_size_entry.get())
algorithm_choice = algorithm_var.get()
parallel = True if algorithm_choice == 'Параелльный' else False
num_threads = int(threads_entry.get()) if parallel else None
matrix_a, matrix_b, result, execution_time = multiply_matrices(matrix_size, parallel, num_threads)
result_text.config(state=tk.NORMAL)
result_text.delete("1.0", tk.END)
result_text.insert(tk.END, f"Результат:\n{result}\n\nВремя: {execution_time:.6f} секунд")
result_text.config(state=tk.DISABLED)
matrix_a_text.config(state=tk.NORMAL)
matrix_a_text.delete("1.0", tk.END)
matrix_a_text.insert(tk.END, f"Матрица A:\n{matrix_a}")
matrix_a_text.config(state=tk.DISABLED)
matrix_b_text.config(state=tk.NORMAL)
matrix_b_text.delete("1.0", tk.END)
matrix_b_text.insert(tk.END, f"Матрица B:\n{matrix_b}")
matrix_b_text.config(state=tk.DISABLED)
# GUI setup
root = tk.Tk()
root.title("Matrix Multiplication")
# Matrix Size
matrix_size_label = ttk.Label(root, text="Размер матрицы:")
matrix_size_label.grid(row=0, column=0, padx=5, pady=5)
matrix_size_entry = ttk.Entry(root)
matrix_size_entry.grid(row=0, column=1, padx=5, pady=5)
matrix_size_entry.insert(0, "")
# Algorithm Choice
algorithm_label = ttk.Label(root, text="Алгоритм:")
algorithm_label.grid(row=1, column=0, padx=5, pady=5)
algorithm_var = tk.StringVar(value="Обычный")
algorithm_combobox = ttk.Combobox(root, textvariable=algorithm_var, values=["Обычный", "Паралелльный"])
algorithm_combobox.grid(row=1, column=1, padx=5, pady=5)
# Threads (only for parallel algorithm)
threads_label = ttk.Label(root, text="Потоки:")
threads_label.grid(row=2, column=0, padx=5, pady=5)
threads_entry = ttk.Entry(root)
threads_entry.grid(row=2, column=1, padx=5, pady=5)
threads_entry.insert(0, "4")
#threads_entry.state(['readonly']) # make it read-only initially
# Run Button
run_button = ttk.Button(root, text="Начать", command=run_multiplication)
run_button.grid(row=3, column=0, columnspan=2, pady=10)
# Result Text
result_text = tk.Text(root, height=15, width=50, state=tk.DISABLED)
result_text.grid(row=4, column=0, columnspan=2, padx=10, pady=10)
# Generated Matrix A
matrix_a_text = tk.Text(root, height=10, width=25, state=tk.DISABLED)
matrix_a_text.grid(row=5, column=0, padx=10, pady=5)
# Generated Matrix B
matrix_b_text = tk.Text(root, height=10, width=25, state=tk.DISABLED)
matrix_b_text.grid(row=5, column=1, padx=10, pady=5)
root.mainloop()