From 7ae3de0e6539e4462072fb6c0174997ba1729cac Mon Sep 17 00:00:00 2001 From: a-shdv Date: Sat, 23 Dec 2023 19:40:32 +0400 Subject: [PATCH] Add lab5 --- shadaev_anton_lab_5/README.md | 34 ++++++++++ shadaev_anton_lab_5/main.py | 73 ++++++++++++++++++++++ shadaev_anton_lab_5/screenshots/img.png | Bin 0 -> 43348 bytes shadaev_anton_lab_5/screenshots/img_1.png | Bin 0 -> 56154 bytes shadaev_anton_lab_5/screenshots/img_2.png | Bin 0 -> 56154 bytes shadaev_anton_lab_5/screenshots/img_3.png | Bin 0 -> 102338 bytes shadaev_anton_lab_5/screenshots/img_4.png | Bin 0 -> 109088 bytes shadaev_anton_lab_5/screenshots/img_5.png | Bin 0 -> 116476 bytes 8 files changed, 107 insertions(+) create mode 100644 shadaev_anton_lab_5/README.md create mode 100644 shadaev_anton_lab_5/main.py create mode 100644 shadaev_anton_lab_5/screenshots/img.png create mode 100644 shadaev_anton_lab_5/screenshots/img_1.png create mode 100644 shadaev_anton_lab_5/screenshots/img_2.png create mode 100644 shadaev_anton_lab_5/screenshots/img_3.png create mode 100644 shadaev_anton_lab_5/screenshots/img_4.png create mode 100644 shadaev_anton_lab_5/screenshots/img_5.png diff --git a/shadaev_anton_lab_5/README.md b/shadaev_anton_lab_5/README.md new file mode 100644 index 0000000..7dc101f --- /dev/null +++ b/shadaev_anton_lab_5/README.md @@ -0,0 +1,34 @@ +# Лабораторная работа №5 - Параллельное умножение матриц +Цель: +1. Реализовать алгоритм последовательного умножения матриц +2. Реализовать алгоритм параллельного умножения матриц + +## Запуск +Запускаем скрипт `main.py`, вывод будет консольным. + +## Код: +Последовательное умножение: + +![img.png](screenshots/img.png) + +Параллельное умножение: + +![img_2.png](screenshots/img_2.png) + +![img_3.png](screenshots/img_3.png) + +Тесты: + +![img_4.png](screenshots/img_4.png) + +# Работа программы + +Вывод: + +![img_5.png](screenshots/img_5.png) + +Таким образом, параллельное умножение дало преимущество при переменожении матриц большей размерности, +а на матрицах меньших размерностей не давало никаких преимуществ, а даже, наоборот, проигрывало последовательному перемножению. +Это связано с тем, что больше времени ушло на переключение между ядрами процессора. + +Видео: https://youtu.be/f4ayPI423n0 diff --git a/shadaev_anton_lab_5/main.py b/shadaev_anton_lab_5/main.py new file mode 100644 index 0000000..d56a470 --- /dev/null +++ b/shadaev_anton_lab_5/main.py @@ -0,0 +1,73 @@ +import numpy as np +import time +import multiprocessing + + +def sequential_matrix_multiply(matrix_a, matrix_b): + result = np.zeros((len(matrix_a), len(matrix_b[0]))) + for i in range(len(matrix_a)): + for j in range(len(matrix_b[0])): + for k in range(len(matrix_b)): + result[i][j] += matrix_a[i][k] * matrix_b[k][j] + return result + + +def parallel_matrix_multiply_worker(args): + matrix_a, matrix_b, row_start, row_end, result = args + local_result = np.zeros((row_end - row_start, len(matrix_b[0]))) + for i in range(row_start, row_end): + for j in range(len(matrix_b[0])): + for k in range(len(matrix_b)): + local_result[i - row_start][j] += matrix_a[i][k] * matrix_b[k][j] + result.extend(local_result) + + +def parallel_matrix_multiply(matrix_a, matrix_b, num_processes=2): + num_rows_a = len(matrix_a) + chunk_size = num_rows_a // num_processes + processes = [] + manager = multiprocessing.Manager() + result = manager.list() + + for i in range(num_processes): + row_start = i * chunk_size + row_end = (i + 1) * chunk_size if i < num_processes - 1 else num_rows_a + process_args = (matrix_a, matrix_b, row_start, row_end, result) + process = multiprocessing.Process(target=parallel_matrix_multiply_worker, args=(process_args,)) + processes.append(process) + + for process in processes: + process.start() + + for process in processes: + process.join() + + return np.vstack(result) + + +def run_test(matrix_size, num_processes=2): + matrix_a = np.random.rand(matrix_size, matrix_size) + matrix_b = np.random.rand(matrix_size, matrix_size) + + start_time = time.time() + result_sequential = sequential_matrix_multiply(matrix_a, matrix_b) + sequential_time = time.time() - start_time + print(f"Последовательноe умножение заняло ({matrix_size}x{matrix_size}): {sequential_time} секунд") + + start_time = time.time() + result_parallel = parallel_matrix_multiply(matrix_a, matrix_b, num_processes) + parallel_time = time.time() - start_time + print( + f"Параллельное умножение матрицы ({matrix_size}x{matrix_size}) с {num_processes} потоками заняло: {parallel_time} секунд") + print("========================================") + +# Тесты для матриц размером 100x100, 300x300 и 500x500 с разным числом процессов + +# Бенчмарки для матриц размером 100, 300, 500 строк +if __name__ == '__main__': + run_test(100, num_processes=2) + run_test(100, num_processes=4) + run_test(300, num_processes=2) + run_test(300, num_processes=4) + run_test(500, num_processes=2) + run_test(500, num_processes=4) \ No newline at end of file diff --git a/shadaev_anton_lab_5/screenshots/img.png b/shadaev_anton_lab_5/screenshots/img.png new file mode 100644 index 0000000000000000000000000000000000000000..e9b4608cdc700edde678c3f7233056cf724cfb74 GIT binary patch literal 43348 zcma&NWmH>1*Y{nlgyPUPP@s_F1%kUf6qn-e4h>$cI23o6;#wRU+#$G2a0p(CyFEPD zb>C~f&$oAfI4dh_PBQ1r?3umy|2N^viqhC`KD>GL>J_%EjD+f|SIEGZ&nEH~hFZ=|F*}l&T}mpF2t+9z?c($wyNTP%LB;41Ssx4z{Evy_MeFhW z*IHG)X%PX{dwY8ZYv2Cc+=Kh1G9e;0l?WqPOjSqcb7^U*VEgX+f9%9zU6&dtFg!Y% zbamyX-QnAon3BS<2xuQ*_j{1(sPRVKy1Eb`lG1r{{~qzb_l%xY#$lqmfBEv0QL9>{ zKbnl;d}lP_=g*%G$bw+7Vr^|L6$k{%l(MiWqN1kWKVDeSg27;Mo0}%E!NI+F+*6M+ zL%;OagyiHRAS94{{MLjp>|G4mm@&T&8_iiZEkKZN^imaJ(ErW zYIlgJ#L&>tO!LIT0^RxUcuI2ed+l1Y@SVQ%)2)Hw&Atfpf6LIj*2YGSEtInjVow6a zhf=lTp_7fC!jcl1E&N8O4KW4U1v;GnT2+i=l%5vF-x{21jwwQ@$lyH;?RYakE;W@- zE(QFRp=aWkIJK~_p{%sGcdPo>ucg!|-6G9eGS$9XwW|91mHQjJUB~olMI}k7d7_^A zd3hW{`*kja^(Fs19v|CXAxH+HdLo|yIb8PX@qw@eS~*cs|DryxmzVN|f<`g3L<4)O z^V?fFjAKFv9|jtQ^a2DjTa8KI8-)bRA8Q3YUR{v?c`sO`YnTuu;va8OVQ9!Xe`4Rr zpvsXw^o1g0_Ku{nb1HcA$)G@x{MQ9-XDOnH*)4)#eP`Rlt{7;$sy~8z?@UpLkN!LE zEKaRoAxM8!(S}K5kr;{ae#FNUP-9|aW7`B9X``zC5PoeI=&p4}fpferjidsqnw!%= z8>Z{khC&K;gtQcmZwqQ`RZ}Fjq)Mx*j(6w|{%1Db-HZ)NDz!-7U?XWY+NHhpN!nsO zyHf65Eas+hR_ABq6rn*()mNVD+}|pkcS=<9IRu|fN-30{xHviKDL&me#(w-p@u9%h zz3Bhb)0YX2Y(yp!hMuEa&6Jo$>b69ufjQM%>)%6d{B%^n<7Lv-$tT)eFy4Ykkj(!u z7q+uwvEpi?gh3tC-7N+i9#*rJGBkJpuQTikx3fe1C4V)!1DcL+)*3pP{@y?BUisZ; 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