From 1bb988ea2f50c3413a286e3c660ca0e32cf06736 Mon Sep 17 00:00:00 2001 From: Zara28 Date: Tue, 8 Oct 2024 23:43:24 +0400 Subject: [PATCH] dozorova_alena_lab_6 --- .gitignore | 3 + .../ConsoleApp1/ConsoleApp1.csproj | 10 ++ .../ConsoleApp1/ConsoleApp1.sln | 25 +++++ dozorova_alena_lab_6/ConsoleApp1/Extention.cs | 55 +++++++++++ dozorova_alena_lab_6/ConsoleApp1/Program.cs | 87 ++++++++++++++++++ dozorova_alena_lab_6/README.md | 18 ++++ dozorova_alena_lab_6/image-1.png | Bin 0 -> 556 bytes dozorova_alena_lab_6/image-2.png | Bin 0 -> 68365 bytes dozorova_alena_lab_6/image.png | Bin 0 -> 2347 bytes 9 files changed, 198 insertions(+) create mode 100644 dozorova_alena_lab_6/ConsoleApp1/ConsoleApp1.csproj create mode 100644 dozorova_alena_lab_6/ConsoleApp1/ConsoleApp1.sln create mode 100644 dozorova_alena_lab_6/ConsoleApp1/Extention.cs create mode 100644 dozorova_alena_lab_6/ConsoleApp1/Program.cs create mode 100644 dozorova_alena_lab_6/README.md create mode 100644 dozorova_alena_lab_6/image-1.png create mode 100644 dozorova_alena_lab_6/image-2.png create mode 100644 dozorova_alena_lab_6/image.png diff --git a/.gitignore b/.gitignore index 697082a..0e58087 100644 --- a/.gitignore +++ b/.gitignore @@ -7,3 +7,6 @@ /dozorova_alena_lab_2/ConsoleApp2/.vs /dozorova_alena_lab_2/ConsoleApp2/bin /dozorova_alena_lab_2/ConsoleApp2/obj +/dozorova_alena_lab_6/ConsoleApp1/.vs +/dozorova_alena_lab_6/ConsoleApp1/bin +/dozorova_alena_lab_6/ConsoleApp1/obj diff --git a/dozorova_alena_lab_6/ConsoleApp1/ConsoleApp1.csproj b/dozorova_alena_lab_6/ConsoleApp1/ConsoleApp1.csproj new file mode 100644 index 0000000..74abf5c --- /dev/null +++ b/dozorova_alena_lab_6/ConsoleApp1/ConsoleApp1.csproj @@ -0,0 +1,10 @@ + + + + Exe + net6.0 + enable + enable + + + diff --git a/dozorova_alena_lab_6/ConsoleApp1/ConsoleApp1.sln b/dozorova_alena_lab_6/ConsoleApp1/ConsoleApp1.sln new file mode 100644 index 0000000..5701d5a --- /dev/null +++ b/dozorova_alena_lab_6/ConsoleApp1/ConsoleApp1.sln @@ -0,0 +1,25 @@ + +Microsoft Visual Studio Solution File, Format Version 12.00 +# Visual Studio Version 17 +VisualStudioVersion = 17.10.35004.147 +MinimumVisualStudioVersion = 10.0.40219.1 +Project("{FAE04EC0-301F-11D3-BF4B-00C04F79EFBC}") = "ConsoleApp1", "ConsoleApp1.csproj", "{29269567-7466-4C99-BEEF-F5766BDDFB24}" +EndProject +Global + GlobalSection(SolutionConfigurationPlatforms) = preSolution + Debug|Any CPU = Debug|Any CPU + Release|Any CPU = Release|Any CPU + EndGlobalSection + GlobalSection(ProjectConfigurationPlatforms) = postSolution + {29269567-7466-4C99-BEEF-F5766BDDFB24}.Debug|Any CPU.ActiveCfg = Debug|Any CPU + {29269567-7466-4C99-BEEF-F5766BDDFB24}.Debug|Any CPU.Build.0 = Debug|Any CPU + {29269567-7466-4C99-BEEF-F5766BDDFB24}.Release|Any CPU.ActiveCfg = Release|Any CPU + {29269567-7466-4C99-BEEF-F5766BDDFB24}.Release|Any CPU.Build.0 = Release|Any CPU + EndGlobalSection + GlobalSection(SolutionProperties) = preSolution + HideSolutionNode = FALSE + EndGlobalSection + GlobalSection(ExtensibilityGlobals) = postSolution + SolutionGuid = {EDED6E1D-0A86-43F9-94EA-6ADCC1FA1B42} + EndGlobalSection +EndGlobal diff --git a/dozorova_alena_lab_6/ConsoleApp1/Extention.cs b/dozorova_alena_lab_6/ConsoleApp1/Extention.cs new file mode 100644 index 0000000..86e8b29 --- /dev/null +++ b/dozorova_alena_lab_6/ConsoleApp1/Extention.cs @@ -0,0 +1,55 @@ +using System; +using System.Collections.Generic; +using System.Linq; +using System.Numerics; +using System.Text; +using System.Threading.Tasks; + +namespace ConsoleApp1 +{ + public static class Extention + { + public static int[,] CreateMatrixWithoutColumn(this int[,] matrix, int column) + { + var result = new int[matrix.GetLength(0), matrix.GetLength(1) - 1]; + for (int i = 0; i < matrix.GetLength(0); i++) + { + for (int j = 0; j < matrix.GetLength(1) - 1; j++) + { + result[i, j] = j < column ? matrix[i, j] : matrix[i, j + 1]; + } + } + return result; + } + + public static int[,] CreateMatrixWithoutRow(this int[,] matrix, int row) + { + var result = new int[matrix.GetLength(0) - 1, matrix.GetLength(1)]; + for (int i = 0; i < matrix.GetLength(0) - 1; i++) + { + for (int j = 0; j < matrix.GetLength(1); j++) + { + result[i, j] = i < row ? matrix[i, j] : matrix[i + 1, j]; + } + } + + return result; + } + + public static double CalculateDeterminant(this int[,] matrix) + { + if (matrix.GetLength(0) == 2) + { + return matrix[0, 0] * matrix[1, 1] - matrix[0, 1] * matrix[1, 0]; + } + double result = 0; + for (var j = 0; j < matrix.GetLength(0); j++) + { + result += (j % 2 == 1 ? 1 : -1) * matrix[1, j] * + matrix.CreateMatrixWithoutColumn(j).CreateMatrixWithoutRow(1).CalculateDeterminant(); + } + //Console.WriteLine("Ко мне пришли с размером " + matrix.GetLength(0)); + return result; + } + } +} diff --git a/dozorova_alena_lab_6/ConsoleApp1/Program.cs b/dozorova_alena_lab_6/ConsoleApp1/Program.cs new file mode 100644 index 0000000..e39204a --- /dev/null +++ b/dozorova_alena_lab_6/ConsoleApp1/Program.cs @@ -0,0 +1,87 @@ + +using ConsoleApp1; +using System.Data.Common; +using System.Diagnostics; +internal class Program +{ + private static void Main(string[] args) + { + var value = new int[3] {100, 300, 500 }; + + foreach(var i in value) + { + var a = CreateMatrix(i, i); + var b = CreateMatrix(i, i); + + List times = new() {}; + Console.WriteLine("Для пяти потоков: "); + for (int j = 1; j <= 10; j++) + { + var sw = new Stopwatch(); + sw.Start(); + + Calculate(a, j); + + sw.Stop(); + times.Add(sw.ElapsedTicks); + } + Console.WriteLine("Количество тиков для вычисления матрицы стороной "+i+": "+string.Join("\t", times)); + + Console.WriteLine("Для десяти потоков: "); + for (int j = 1; j <= 10; j++) + { + var sw = new Stopwatch(); + sw.Start(); + + Calculate(a, j); + + sw.Stop(); + times.Add(sw.ElapsedTicks); + } + Console.WriteLine("Количество тиков для вычисления матрицы стороной " + i + ": " + string.Join("\t", times)); + + } + } + + private static int[,] CreateMatrix(int x, int y) + { + var rnd = new Random(); + + var res = new int[y, x]; + + for (int i = 0; i < y; i++) + { + for (int j = 0; j < x; j++) + { + res[i, j] = rnd.Next(0, 100); + } + } + return res; + } + + private static double Calculate(int[,] matrix, int maxTask) + { + double res = 0; + + var semaphore = new SemaphoreSlim(maxTask, maxTask); + + for (var j = 0; j < matrix.GetLength(0) - 1; j++) + { + _ = Task.Run(() => + { + try + { + semaphore.Wait(); + res += (j % 2 == 1 ? 1 : -1) * matrix[1, j] * + matrix.CreateMatrixWithoutColumn(j). + CreateMatrixWithoutRow(1).CalculateDeterminant(); + } + finally { semaphore.Release(); } + }); + + } + + semaphore.Wait(maxTask); + return res; + } +} \ No newline at end of file diff --git a/dozorova_alena_lab_6/README.md b/dozorova_alena_lab_6/README.md new file mode 100644 index 0000000..77d2d32 --- /dev/null +++ b/dozorova_alena_lab_6/README.md @@ -0,0 +1,18 @@ +# Лабораторная работа 6 +В рамках данной работы мы изучаем выигрыш при распаралелливании процесса вычисления определителя матрицы +## Описание +Для вычисления определителя мы используем следующую формулу: +![alt text](image.png) +где ![alt text](image-1.png) - определитель матрицы, полученной из исходной вырезанием 1 строки и j столбца. + +## Запуск +По опыту прошлой лабораторной работы, в консольном приложении был реализован алгоритм вычисление детерминанта и запущено сравнение затраченного времени (в тиках) для 5 и 10 потоков. +## Результаты +Результаты: +
+![Результат](image-2.png) +
+Как мы видим, подтверждаются выводы прошлой лабораторной работы: для небольших матриц выигрыш несущественнен из-за затраты времени на работу с потоком, а для больших эта разница в скорости уже существенна + +## Видеодемонстрация +Видеодемонстрация по [адресу](https://drive.google.com/file/d/1LFRNbTAOzg21Du60Ehy9u6HOp9D3sKPm/view?usp=sharing) diff --git a/dozorova_alena_lab_6/image-1.png b/dozorova_alena_lab_6/image-1.png new file mode 100644 index 0000000000000000000000000000000000000000..64f1452b34ba935917afbbffb8e0490b045a17c1 GIT binary patch literal 556 zcmV+{0@MA8P)P000~a1^@s6lq3|;0005=NklvDksu?2OOBAiomM(tpwIgKI-9}zz5)m3vL!@_hgaf5-@B=8Y5Ep42+n( zHAbEaQY6pJ$lK5f(efUc2hM=fkUZ743fKT10)K%q?^Ky{zGC|$Kxv$5bQ=}Qn%}^p zXJx`FT7g^v+GiTdt`~OlJFsQz8b{41TZ=-qjH5B0Iw z_fl$Znjw9rTvt7Jb<+#r(V0qy#Q+M>K$fWPCmNZ#MMX>uZ==QJO*?-4P}(7 z*q?!(soc_|jC>(@GyzLj+TL;3OqDUc+%^#pV4?{^d>Vf?v;azcc u>n>|a(|0wNbYAU9{}`qAqa>w&AHM-nw^6Sj&>t=U00003DHqOq$x-58qzo}Ui?^xb#g?XkS{`?c@B+jaZ9@4mnL<4*CF&8VdH@4oxxJImkC-H7_0S&;gy zxaGhF>~|Bl=`Q(6(#i)`?%1{*xKr}x*~94?pIh9(5gEzHHyPY#>wXWnVC#uLoVfRG z?aTfhBEe((lvm&V^zz%9^_Gwg70XE9dHTC;-_*Xu@4VER@l;h=>KpG@7T+I#$#Ft4 zYKywf_sN@Yk>cQa@1go`r-_Jr-^+bVTi>_s*ln|8%#kyz>jdhtZxM0&?+-Eq-t|o) z?%kKtuD0x)P^7QL0d%(T3n7AEe^mPEhv364TQ=KtFI@kIUheCh{@O*N%NhN^qsp-f zwS{Ed3dzNhQLy_ad$k}xZ7=}00p%_AreoLTe{it?yygb8n1IQ%fHzbU zX^j&OPxul&H;LJJ9)?_XJ|Hj!%a=}uz=e`vJ3xKCO+g5POkDDa9dRGIfR7(n95RH8 zVi4w;;|Fy5Lk{EJn`8k+3Je7$`Lr2X0_~9RCxvnMzZ$#9ekY*tsmAdj^Uyo+ih$j} z2M;1U5+`1Jom7S`^7BwxW;(+BLha~^+p)3dQ5`{#?T0@cyX|>RSDNPCoM_2w!B}q1 zO=qrX1YS+Z{Qj?B@%#5ChfeP%Z(8H|l4S6;o}ARKrqc{!ukV^y?BSA!%=HGacj->~ z%bh0=@!m--8)o{}0dPX^go;gP?~$PT8a$EcRa^r0XAJeqwTfRsb>F2vauPG;uGplwxv7wjp)ym4{fTo_po~PrSJ>}Aj{7Zj5kDquIw5mqwa-@%E|5ArUr?zc9`kkEdTbwN*N#-ysGg-N@@z^gp{j1LI5nfm#`ML5y zEUhnh&8xDYm_vN+Rb6YjJ!1W{bm~ND1JveBA}!oL5AF}Nj!$d5i!I>?^DOfB2MRNw z1HAL+Yw)s0PCSRo$_(!ZF$&BO3&sk%46Hp_kWQN4 zyf*%IDEcZj>8#m6G97HfrXyQZZz8L*pGtH!u-Bhj={lRyMROq@6vfE835q^>H@HR0Gk?FyaW%Yn zEualO9lYvOFtP`bMK0yz8I`YvVaO1FlzcqTKv2dAIh=^Ui=Cn3C7pI&4e2`|^Oy72 z_x}Bhr{l*DR)%SJ>5Y}bHgu~r+Khi|`v&jv)x*5czQ2|2R0-bgWHPj08GZiMu9$Ce zJmPzz#132}b>i&Ln|q|c&9f@*6q$GOeoRW6|M9P_$=5DFANoa^AW7~r|3H)c`CDat z4MS9vCB99-_CQ* zKd#{3$4Fx_OYx^|>F+w? z^3~+)u!(1I6NY<-S~KK=Q35$sczWAf=e&vFGXa42JECZBHc`YX1&;;s{N(U?7dk3m z2M4P==P{QjhhpNoF(V%_^X`n;3yCt#?}|%6Za{=m72NF$c-S7EGNxgWv z`|E4kblv%}O-IEhXV-hqvCsP@Ccp1w0Rj&se+XKbQ6#` z#Baz22bLIapRJTaRByoWYik=A$F)?Ia}PYuTC2xjFLzi3Bx5ds6&Q%RWrOsE0TRE_ zldO%RviVr{>U;p`04*(jx#_*{SUJK2ZPGV-BTr2uc743Q_2cwar`Y&Rw+jhc70ab- zS>EoALzIPsaSekUa;YwLVS2sZy3fl5Q4Y2ib@NR;YlcXS;4OVg-uf4ZyQK z6_i-tTP1&%MmF8iG(Ewpe7y30_um)imgYA8VSN5Wg{2{gO~Y)J&S1(tR*EC+(}+2v z5DA~s0!W^bI_w|5aM(&GzD<4FWn;#jYPcs|aQ3><^E{utdH0NR#7NL7biw4|i7O!Q zsl7uG&Pg0N%Gy9j&0zhFEH6~Mr+zMwn!PJ*^1=gMModtS+s@N`Zu_gmE=8rjH?(JF z&kDXwbzFr@foAf2;tkq8L~;C#TqC4>oOO#9-Led;ApX6e|7EZg!)J)y30H(vYNRH& zc`DfT8XoB8tVOT6R^`R?)tHJq?agle7$b!>eZgt}b-sO_N}AIECVD3IJ(6t%m~6{5 zC57tCK*6mhGRkF(eO^X3F}OrUrO@yi77g;|H)fKlSdl=tet|trHGpPiE^S`9A+>!D zU5JvBtTbFcKZa4LS1hKzQY&c5Nq+O?lS(h(si|p7@5l^~+<&Vlc<3e|w&83FwQs5h zj<5n8oEWq>;gsP|AN4KHN|S(}?CCdL93Y|0&=V{Kz@9Y)XTEl9Z>R*@3!f=V8?XZW zfDOMfMy$EOY>yKdr^;N@A#-2y$s8NwcBBfn&F7ci2Z32;&ZxzG^v@pNEG>iZmN(aZ9dL^N%h-kiBF4YEs{FR#CNmg4hqiz9yQEGz3uq8;)pz1 z_;D~BO$CyQgA#O1M5I7-!dEz48Ja%E#OJqBz;b>_TI+w^h#S zH&7iswdYCBO(B|d&1?J9Z??VgM#T|>ij-!%3&Vk*YU=xQC{L3wq>o2!8t{Q#XxhX? zv3VEiZMu6az6zJju6A2tq0zkgUqE__+fAp8aK7cCjb55E^HliLUO#!%%$hx!-EO1b zhl+ayq9x>eH-bfmLIuJZk&Igt5UQxIbFuEUAK_A%Mm^h_ z*sd*%-ndB(mCbF0P*4acZ2re{FyZJiV{3T_+F+Y?ZU5QnbWVkHyF`miUNq1j_@&5! zc678!sBw0?wXrJHbIf{-zU{H~8B{&E^@W1pXI_qQ)a<1#i@R)Vyj?I8I@thrV%sgS zZz^~kaoMVg$kEq|?<8ddZXh+}F<=cyCqIiBXAT+)^2?4jeA_g}xmJlP6*-F3t7JXR4 zM73%+TLuC`3NGn%zfN?lx7HI-L-t;QAk=4y=Z<##8gg6!lilf^%4tMpBdJbr-uxw1?O zHfi!E#JutC^7om3DGjq6a`5Q|`b%twKOw5pQ#6Q_N$&Ktf@_VLqkQdGi)Ny_pX250 z&dGn>a)>t-%@3I??<2PMS$-HwTJiI4d#>s8I97AmeZk@RvS-a z8>V<2F!#A&KDZ?x)bB^b2sXQZTey`o!24)!S>MJup!te(&jtK!OTZ`aok7k-DPgb6 zrLsL%f2jJ+f-kh{?CvZ?m0@IhoheKLbEEw1Fx=MP6lJFxSWC&WhC6(4yUyBN$B>8njdfUyt+u3Y9(N_TnkMTAWSgVew10j3P3g`gfi$Gi0d@SSp{a0^H zx_vA2=^m_?zS%884{G=Kwgwv1>7+lDv}Af83{(dPD9B2 zqWHnV#8)gg#hYcB(mTBmjXk%d8%e3Kt>@rdJt93tdT#I8onf~3E3^#aj1qX zxBAC@&Wt}Jnzb16Be_)|kb%tU66jG&RBD?pty%wYEhGPyV}Zm>?`% zA7qR>IOS+L0JHD@$od3u1tow(^7ZIg@ak3dPX?wgNzS9I=}zc5N58n&?DCLIVYx=f zTT`?^zs{E^o!nxIqp`wi5u5h;&iD*95WK9?tn0N8V6&h(n~)_SQ2lG>7gkNZS_}1* z;+#aba~5^KNqjXh4XWE<4+G=YK{1^biFJ>5QJ0GlWF>SX&B8_V)6fpzv(X5H%BFi# zvc(<9*^7a(?l6Ga36uD(*cn)p~J#K63!$ z1v(*3Kh^t!Gv3d=QJ~j+Qp8mzAr&1F^(q1Aqc|dVf-{&Jxkg&K<^AF!WRCHq2e{mU zJh?H#V5rSJfTP!el%#RP!rrbP-Pni)YJjA}5~TJ1TqE13fmz=ice1@NW)Jp)FjpFJ z|70rNlC2x23-LO(4x`KpTc>DYM?A*3T7G3VC5~&$FdyW|u8q(vud@D}&ESzDZ!{Y8 zT+xY7 z=xtaUoYXoMVJiO``pmJnOQ%j%&JK%I6fzS4_b3T_)p^_ntVQq_U4mv{W2drLo%db5beDuEf2;ebI@rf!D%&>X6riWFiE)Z zGB&ui4wB@q&ZcBiUd*X0&fUEk_u5G_NHn@0`M_JRSszDy6K6c-Fq4+8r{s^n2tV^; 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