From 82b7b37f0fa76b8f18ba8dd5ecd89ec17221e67e Mon Sep 17 00:00:00 2001 From: vladg Date: Thu, 30 Nov 2023 13:39:06 +0400 Subject: [PATCH] gusev_vladislav_lab_5 is ready --- gusev_vladislav_lab_5/README.md | 34 +++++++++ .../gusev_vladislav_lab_5.py | 69 ++++++++++++++++++ gusev_vladislav_lab_5/images/img.png | Bin 0 -> 17631 bytes gusev_vladislav_lab_5/images/img_1.png | Bin 0 -> 66164 bytes gusev_vladislav_lab_5/images/img_2.png | Bin 0 -> 69842 bytes gusev_vladislav_lab_5/images/img_3.png | Bin 0 -> 65464 bytes 6 files changed, 103 insertions(+) create mode 100644 gusev_vladislav_lab_5/README.md create mode 100644 gusev_vladislav_lab_5/gusev_vladislav_lab_5.py create mode 100644 gusev_vladislav_lab_5/images/img.png create mode 100644 gusev_vladislav_lab_5/images/img_1.png create mode 100644 gusev_vladislav_lab_5/images/img_2.png create mode 100644 gusev_vladislav_lab_5/images/img_3.png diff --git a/gusev_vladislav_lab_5/README.md b/gusev_vladislav_lab_5/README.md new file mode 100644 index 0000000..a79309e --- /dev/null +++ b/gusev_vladislav_lab_5/README.md @@ -0,0 +1,34 @@ +# Лабораторная работа №5 - Параллельное умножение матриц + +1) Реализовать алгоритм последовательного умножения матриц +2) Реализовать алгоритм параллельного умножения матриц + +# Как запустить +Выполняем файл gusev_vladislav_lab_5.py, решение будет в консоли. + + +# Методы: +Для последовательного умножения матриц используется следующий метод: + +![img.png](images%2Fimg.png) + +Для параллельного следующие методы: + +![img_1.png](images%2Fimg_1.png) + +Для тестов соответственно: + +![img_2.png](images%2Fimg_2.png) + + +# Работа программы + +Запускаем программу, получаем следующее: + +![img_3.png](images%2Fimg_3.png) + +Как видно по числам, параллельное умножение начало выигрывать начиная с 300x300 матриц, хотя на 100x100 проигрывало. + + + +Видео -> https://drive.google.com/file/d/1bs0kcvaYYQlKNle-tBUlr9mpYWTLyaRo/view?usp=sharing diff --git a/gusev_vladislav_lab_5/gusev_vladislav_lab_5.py b/gusev_vladislav_lab_5/gusev_vladislav_lab_5.py new file mode 100644 index 0000000..60c314b --- /dev/null +++ b/gusev_vladislav_lab_5/gusev_vladislav_lab_5.py @@ -0,0 +1,69 @@ +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") + +# 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) + + diff --git a/gusev_vladislav_lab_5/images/img.png b/gusev_vladislav_lab_5/images/img.png new file mode 100644 index 0000000000000000000000000000000000000000..d1024df03f72a61f85736b585a4e1e68fa35a85c GIT binary patch literal 17631 zcmcJ%cUV(d+s3Pc0u}-Y(uox5Qj{tsqA0!hjv&%|2_+;VAiYTMy;teIC?$e)gwT7h zLI@=gIMJDTznOWzbIx_0@(-JxkYw$Zz1I3Y_kAydloh4!-KM&I?b@|_GSZT&*RI_l z!~UL!e*^n-Nos5Q+BL~M8A%Cscf;M5Gc{_x+I^3!Px3DUiC#Xuex2mQb7>QNzl46K z_I^>o1ByOlAIeT9A!9$`?)w69!UDCfp#XfM8y?r16g8UAKX!qJ2jSYOCjSb^f z@`gJ;fJi;EtfflS;6C{`$`fjUC-Fi!U4y# z>4q)?mk{A2-wF2KG5ehoi!O6*rUfRNZ9EcY%H0x-vBlhQo-050{3|&>B7T}#4+_$$ z^3_RYAxd11d9)=0YC zMrs1z-6dFD+!XECJMQfw+mChorN*z|`%`K*1(yVq0 z2CY{rts#h3WiOkBCx0S7cx1EAr<|N}C!+jwz^2uMDvB2~<%59%SCF2gy5_|E;ff#h z6yGCo$xG>kdI$9ti(1M!$S=#k!mo5@ z5iIy?MdnOy%-fskIThhCoXFgOL4V2nrha3bdPaBI^!3D&sl)&DUxm^}|OxsQJao>yWBKGn}%!;`qzrBO>g&th?9DNyP#Qw?Brvd>;5AE+*R^%!Hbz>jR)MaavC5yYi1OV zgzr->1kLeVtEE@HZ&y=?9qAtPv${lW-MM;UAp8O5RZw842X_2vz^ZMW$}E| zd5yBl6^w0YP>QXpLlw{Q{L#{KRrVRbfJ58Gsd7!q&z=OGy?PTA7W5I;lC! z?^ceJ3DfRsv0I0hKmMqH(Tsa@)T=zs^Y)XNC$6KRlda0MVf!TXGV)O@wVeAP;2<1o z9QaCt5Y~9UjIj%o&12nat!ooj8^HFU-+@U5U*>LWF{lf_UoZi@r~dljgNEt$xYRw9 z0kk;3`zd9#;`70pra_6i9g|LVT%3~H{Px0A2HUX}UUUyL zgitT}geIWe(HFG(<1{cctA2S)yki_j_R!`u z3JK+k&Yybk?v+srU9i#tPbBb@KGmPXIGz^L-n@6E?UEhh{!Zl))z$nDxzlsbHS#R< zRk0w(xXSlDyKn0)gOY>#{QT|4;t08};c`_QGMG3BvyJ3ZL`U zRkA+iw+N#rvVPK?(rZ;M+9R9+-g!<-Xx=HMv)<;?tX#7?6-+1M zX=9OHv$-9binZwcW0OL>?nAZu_-LzgS=pzGCPvE0!qcWiqUKWmLob-xTe=gUw-LLo zR6VZ!q33Ey>D#?(5jNDtj6`p~)1IH0N!H*Uyz~f14^quK&VH%@;UV*}Q{rLLdMuYV z!nMpW)W~(ZBb~uQeX@D1#C}(|2DGK_fB^OCq(wXb9%~|x9aq{meUsw~NlxxY)dom~ zOo)WSTQ7K8mpR{8!3%*E(b={kh3axba1c+vDTV#ja_I6S(^?F9=}h5$ag>q2I*lQE zv26tkjuH4Nl==C+XVB~KD*)^idT2dN^##yIwvC71W)#zWQT!yil4f!<_bPana2Ti> z+V-?zjYYV@r~_X%O|cCX|6+;AA9V3LE}*hw1wrxV@Ov%AA$0BYpt@pRtB9lZ3x(`y zPG;S+1DoNO?4$Ot>a@PLki}wGB$U!_mntB1HQ#syVD9D5f7P_KSPXYd*kR;V+scQ9 zMl90zfSrLDiq(<%*zCHr=ODXy;wJo&YNQgF)5{)gYYzs5*D{BMpO_rvD*^+g`KOK< z5M>69psuPe{@FRPYB8Wpt_Cq}_+d&)h*K-wGO#i&{#>wl=IH|3u~<=Zp8WJfiX z&WyyKg6V}1QspZPrrj{nH#c_p(R~74x#MiucUC0^65h5eZZ?0(!CNvee8W=v0Z^VP zVOq>{_js}sSpSG2fl_-I{OD@c1=SIPy@@D|ebDE49SJLMZKl|#&ATAdt!IHpp`Be8B!~* z*v035CT}@4Gh&R8)u;UZb^&Uj!&=2Hgde)kJbfwqC#(WZj8a?X{V`s@zX1&+)@7SQ#p&F{mLokuO z=^=MHD$lNxqU8AbWDfa}X%*u&da+~auWROOl9PgX=}Ru}^m}(ZG0Q)r-TJ+ z6m+PT<ZG9m`b=cYtOy!d!sX_zV{B zUGBoJ$y1uq1g11O@?g9YXyUYZX$tGEenAT7DqMho9Yo4i{_4;pa3TYG*w(8$qhFd& z8|Re8`NyC+I;@I~rUIoKTRY@Ct#6NX+9&&FgSqQY^{j9$ZnTi!}_$`l@~220%x#NxgZw~N&?r#rHF2zq4=kI7;rey9C38gXrJZp-+3QA}b zp`J&!iD1~i4u`d4;(d79I;f3~|H=aEr%NL>!mtQlg@630VPg)us5zaq?;5-`FcG!(cQ`du zJWpGdv|L~M)}s%VoQSVLBYucN6z^zG{X7PdQ^t2d5W6~Cj*b2iQJuwuW+o)6eqMWFZT00KdFUVy-*tV~ zAmmKq&H<6b-18AUgl#AOG4JcJI<%Cs2Ld3KNB78kR2UwC4C6|DVoRHFMD~O4)q?1C zG%*oTD^sU%loCB-`tktTdT9#Xeh3Thr`aB_N^%ZkE`bjpgQ~2M(Ft`>oybTFg0sXf zUXnE*21Ltg?EIvS=~>$5IuJCVl~dHrl;0|GeSjK{CMM>xD3iHCK*<^VEA`1f;SHeH7Tcc+^UtR4i7;2o>Ikk#oZViygg1+5~ z?0(&Dbb1H2xPKEP2X=V=Jo9K7#u_;kO9Sn&KfTw+J!BuVw($PF6K^*NTgkmg-uib% zhkf*)EZkg8ac#gy`IxNK8d>+R5GwEcC{$dKs7opOfU%Z5~ef zZf?%Mkyn`QH#UMEtbC?Lut02$aQ`gr2s#@}>4P3k=^)p>`&YWx85fIRN69Y{lXp6E zsCh&N@?9>pD3887WsF|vePk}LWMwT~I&1)%nEH-5vX3s81f5C}y>lENqS^@9f4E51 z5ocSWxYYoC{5X~T0XHc#{{4V+#g6jf-E+8ywGl4a>Xx9JX0-_{1Q+`u#n6Wq+C!-L zH%N@Azo_&qr*?&(=5mEq_|qY55g5|Y0#UfSB`ktzN5BMJ#%B5Kb#1vd^MW6#KVyj0 z+60QtSK8YrhIx0X44@X5Ii&X6=BjCR!L@Yqg3QF*!qFTNP%R0zHh9uVVDpG zukBWrNmtbvz}ov`-VepZ@jAjN zZb&7SV}E-N(EXX5*ICkKsbe0x;$LL|yqq2?+jfR(@%cd7z}aNh4f(7s*Ij@=+&9^e zEZqzuIOq+oFyG&+jpE&hi~{&xd?-JdtdvJZn*=tDA4)2Zwcj~G<*pYABbN~;-5nKF z8nR9j^9J9kOwJ=9MoYgumhoCfuwd@B*=Qz#%<-Za

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