From 33a0180cfa29ef1ac9d9a930054f59fa1a2a65be Mon Sep 17 00:00:00 2001 From: Dmitriy Panfilyonok Date: Fri, 18 Jun 2021 13:47:52 +0300 Subject: [PATCH] Add D.Panfilyonok coursework --- .../presentation/Panfilyonok-presentation.pdf | Bin 0 -> 786158 bytes .../presentation/beamerbasetitle.sty | 290 +++++++++++++ .../presentation/beamerthemeSPbGU.sty | 52 +++ .../presentation/pictures/MatrixBFS.png | Bin 0 -> 26981 bytes .../presentation/pictures/SPbGU_Logo.png | Bin 0 -> 141226 bytes .../presentation/pictures/dia3.png | Bin 0 -> 396219 bytes .../presentation/pictures/impl1.png | Bin 0 -> 117396 bytes .../presentation/presentation.tex | 363 ++++++++++++++++ .../report/Panfilyonok-report.pdf | Bin 0 -> 406978 bytes .../Dmitriy Panfilyonok/report/conclusion.tex | 11 + .../Dmitriy Panfilyonok/report/header.tex | 134 ++++++ .../report/implementation.tex | 72 ++++ .../Dmitriy Panfilyonok/report/intro.tex | 31 ++ .../Dmitriy Panfilyonok/report/main.bib | 221 ++++++++++ .../Dmitriy 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Panfilyonok/presentation/beamerbasetitle.sty new file mode 100644 index 000000000..fffafad52 --- /dev/null +++ b/2021/diploma/Dmitriy Panfilyonok/presentation/beamerbasetitle.sty @@ -0,0 +1,290 @@ +% Copyright 2007 by Till Tantau +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. +% +% See the file doc/licenses/LICENSE for more details. + +\ProvidesPackageRCS $Header: /cvsroot/latex-beamer/latex-beamer/base/beamerbasetitle.sty,v 1.25 2007/01/28 20:48:21 tantau Exp $ + +\mode + +% +% +% The \maketitle command (for compatibility with other classes) +% +% +\def\maketitle{\ifbeamer@inframe\titlepage\else\frame{\titlepage}\fi} + + +% +% +% The \titlepage and \partpage +% +% +\def\titlepage{\usebeamertemplate*{title page}\@thanks} +\def\partpage{\usebeamertemplate*{part page}} + +\usepackage[utf8]{inputenc} +\usepackage[english,russian]{babel} + +\mode +

+{\providecommand\partpage{}} + + +% +% +% The \title command +% +% +\renewcommand{\title}{\@dblarg\beamer@title} +\long\def\beamer@title[#1]#2{% + \def\inserttitle{#2}% + \def\beamer@shorttitle{#1}% + } +\title{} + +\newcommand\insertshorttitle[1][]{% + \beamer@setupshort{#1}% + \let\thanks=\@gobble% + \ifnum\c@page=1% + \hyperlinkpresentationend{\beamer@insertshort{\beamer@shorttitle}}% + \else% + \hyperlinkpresentationstart{\beamer@insertshort{\beamer@shorttitle}}% + \fi} + + + +\mode +
+{ + \let\beamer@origtitle=\title + \renewcommand{\title}[2][]{\beamer@origtitle{#2}} +} + + + +% +% +% The \subtitle command +% +% +\newcommand{\subtitle}{\@dblarg\beamer@subtitle} +\long\def\beamer@subtitle[#1]#2{% + \def\insertsubtitle{#2}% + \def\beamer@shortsubtitle{#1}% + } +\subtitle{} + +\newcommand\insertshortsubtitle[1][]{% + \let\thanks=\@gobble% + \beamer@setupshort{#1}% + \ifnum\c@page=1% + \hyperlinkpresentationend{\beamer@insertshort{\beamer@shortsubtitle}}% + \else% + \hyperlinkpresentationstart{\beamer@insertshort{\beamer@shortsubtitle}}% + \fi} + +\ifbeamer@autopdfinfo% + \g@addto@macro\beamer@firstminutepatches + { + \begingroup + \let\beamer@saved@hook\pdfstringdefPreHook + \pdfstringdefDisableCommands{% + \let\\=\ + \let\newline=\\% + }% + \let\thanks=\@gobble% + \hypersetup{pdftitle={\inserttitle\ifx\insertsubtitle\@empty\else\ - \insertsubtitle\fi}} + \global\let\pdfstringdefPreHook\beamer@saved@hook + \endgroup + } +\fi% + +\mode +
+{ + \providecommand{\subtitle}[2][]{\def\insertsubtitle{#2}\g@addto@macro\@title{\\
{\normalsize#2}}} +} + + +% +% +% The \date command +% +% +\def\date{\@dblarg\beamer@date} +\long\def\beamer@date[#1]#2{% + \def\insertdate{#2}% + \def\beamer@shortdate{#1}% + } +\date{} + + +\newcommand\insertshortdate[1][]{% + {% + \let\thanks=\@gobble% + \beamer@setupshort{#1}% + \beamer@insertshort{\beamer@shortdate}% + }} + + +\mode +
+{ + \let\beamer@origdate=\date + \renewcommand{\date}[2][]{\beamer@origdate{#2}} +} + +% +% +% The \author command +% +% +\def\author{\@dblarg\beamer@author} +\long\def\beamer@author[#1]#2{% + \def\insertauthor{\def\inst{\beamer@insttitle}\def\and{\beamer@andtitle}{#2}}% + \def\beamer@shortauthor{#1}% + \ifbeamer@autopdfinfo% + \def\beamer@andstripped{}% + \beamer@stripands#2 \and\relax + {\let\inst=\@gobble\let\thanks=\@gobble\def\and{, }\hypersetup{pdfauthor={\beamer@andstripped}}} + \fi% +} + +\def\beamer@stripands#1 \and#2\relax{% + \def\beamer@temp{#2}% + \ifx\beamer@temp\@empty + \expandafter\def\expandafter\beamer@andstripped\expandafter{\beamer@andstripped#1} + \else + \expandafter\def\expandafter\beamer@andstripped\expandafter{\beamer@andstripped#1, } + \beamer@stripands#2\relax% + \fi +} + +\author{} + + +% Aux commands for \author +\def\beamer@insttitle#1{{\donotcoloroutermaths$^{#1}$}} +\def\beamer@andtitle{\quad} +\def\beamer@instother#1{} +\def\beamer@andother{\unskip, } + +\newcommand\insertshortauthor[1][]{% + {% + \def\inst{\beamer@instother}\def\and{\beamer@andother}\let\thanks=\@gobble% + \beamer@setupshort{#1}% + \beamer@insertshort{\beamer@shortauthor}% + }} + + +\mode +
+{ + \let\beamer@origauthor=\author + \renewcommand{\author}[2][]{\beamer@origauthor{#2}} +} + + + +% +% +% The \titlegraphic command +% +% +\mode + +{ + \newcommand\titlegraphic[1]{\def\inserttitlegraphic{#1}} + \titlegraphic{} +} + + + +% +% +% The \subject command +% +% +\mode + +{ + \providecommand\subject[1]{\hypersetup{pdfsubject={#1}}} + \providecommand\keywords[1]{\hypersetup{pdfkeywords={#1}}} +} + + + + +% +% +% The \institute command +% +% +\def\institute{\@dblarg\beamer@institute} +\long\def\beamer@institute[#1]#2{% + \def\beamer@temp{#2}% + \ifx\beamer@temp\@empty + \def\insertinstitute{} + \else + \def\insertinstitute{\def\inst{\beamer@instinst}\def\and{\beamer@andinst}#2}% + \fi + \def\beamer@shortinstitute{#1}} +\institute{} + +\def\beamer@instinst#1{{\donotcoloroutermaths$^{#1}$}\ignorespaces} +\def\beamer@andinst{\\[1em]} + +\newcommand\insertshortinstitute[1][]{% + {% + \let\thanks=\@gobble% + \def\inst{\beamer@instother}\def\and{\beamer@andother}% + \beamer@setupshort{#1}% + \beamer@insertshort{\beamer@shortinstitute}% + }} + + + +\mode +
+{ + \ifx\institute\@undefined + \newcommand{\institute}[2][]{} + \else + \let\beamer@originstitute=\institute + \renewcommand{\institute}[2][]{\beamer@originstitute{#2}} + \fi + + \providecommand\and{\unskip, } + \providecommand\inst[1]{$^{#1}$} +} + + +% +% +% The \logo command +% +% +\def\logo{\setbeamertemplate{logo}} +\def\insertlogo{\usebeamertemplate*{logo}} + + +\mode +
+{ + \providecommand\logo[1]{} +} + + +\mode + + + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "~/texmf/tex/latex/beamer/examples/beamerexample1.tex" +%%% End: diff --git a/2021/diploma/Dmitriy Panfilyonok/presentation/beamerthemeSPbGU.sty b/2021/diploma/Dmitriy Panfilyonok/presentation/beamerthemeSPbGU.sty new file mode 100644 index 000000000..75daac281 --- /dev/null +++ b/2021/diploma/Dmitriy Panfilyonok/presentation/beamerthemeSPbGU.sty @@ -0,0 +1,52 @@ +% Copyright 2004 by Manuel Carro +% +% This file may be distributed and/or modified +% +% 1. under the LaTeX Project Public License and/or +% 2. under the GNU Public License. +% +% See the file doc/licenses/LICENSE for more details. + +\ProvidesPackageRCS $Header: C:/Users/anticnvm/AppData/Local/Programs/MiKTeX/tex/latex/beamer/beamerthemeBoadilla.sty +,v 1.2 2007/01/28 20:48:30 tantau Exp $ + +\mode + +\newcommand{\btVFill}{\vskip0pt plus 1filll} + +\newif\ifbeamer@secheader +\beamer@secheaderfalse + +\DeclareOptionBeamer{secheader}{\beamer@secheadertrue} +\ProcessOptionsBeamer + +\usecolortheme{rose} +\useinnertheme[shadow=true]{rounded} +\useoutertheme[footline=authorinstitutetitle]{miniframes} +\usecolortheme{beaver} +\useoutertheme{infolines} + +\setbeamerfont{block title}{size={}} +\setbeamercolor{titlelike}{parent=structure,bg=white} + +% Tills' opinion: should be done in an inner theme, not here. + +\usesubitemizeitemtemplate{% + \tiny\raise1.5pt\hbox{\color{beamerstructure}$\blacktriangleright$}% +} +\usesubsubitemizeitemtemplate{% + \tiny\raise1.5pt\hbox{\color{beamerstructure}$\bigstar$}% +} + +\setbeamersize{text margin left=1em,text margin right=1em} + +\ifbeamer@secheader\else\setbeamertemplate{headline}[default]\fi + +\mode + + + +% + +%\mode +% diff --git a/2021/diploma/Dmitriy Panfilyonok/presentation/pictures/MatrixBFS.png b/2021/diploma/Dmitriy Panfilyonok/presentation/pictures/MatrixBFS.png new file mode 100644 index 0000000000000000000000000000000000000000..8bdfd0ee76ff0f3623563512c46d6ad2dc516b75 GIT binary patch literal 26981 zcmb??hgVZw^kpFQDqT8)fOIL+izw2IQX@5h2-17+h#*x&nlzCn5FnA>Lsz;;2`xkr z5D0|c0%Y?2X66r=wdSssm6w zPJp1GAn`YzZhnsT-cI6PzRvmk%4`4t4?ssl-88rWy%JQwczQE@IFIJ!WYp-5O^POF z2RX8c!t5nr8l?hf_cc@bhrYdVlz|Nme1i>KB_raWlAqPNpgBd75+5Yah$!`_sY;Kb zr8-)iUI$^$Zo-u}eXL$PcegYIVe>HI-Nh1#|38vH74@uVbYh~mV6&w6gDL8ZvJnp< zQ!V#~|1#I^jRdyB%V#~c=@cFEpD7laHnH>Y{+IIDYE}SrbQ!`{GziYSRE>o7gbXp8 ziKpfS-NdS?h>5GmET{k;YIgwDQ4u?tJCQ!|>%VVCzr(8^Qyyrh1O&>h&dU|rBief-I9NdUCZyHfX>rt_z2x(5W(xv zU3bRN@TaJ~#G5X1_s>nKgb>6wWZI96{fC194K4g!kV>E1E zNJiE0zp|dt^b-!ggue$pRHA5Qru?|&&^6ud5PPDDazPnlU^>W~0KZOIw3#pINe4aA zYWJg<1>|}V01FHwlndz@<`BI&zf`{(MP$WQ!B^m1dyQ>M2Wpr$mKeSmn`pln?#^La z+CArIu?$JSpQdBBRb<&aT>q!12_H+Klte)soQK!(L^0L%xjZWtBRpf7o%719hs)zg zKf!peu(2?7I^AyZmP%06KS?$1pcpII%qOU|$8FsCMXBh5wCZA*r{>%l%?Xzs8P#y; zT4h)|C;cy5I(({fB(;xO(^Dwojy{!Yp(9$!qL?NHUmkdXyc+A-=djC!q8OEC5_Rta zPI=(T@tj@s>D#Aw%AyiBnw>{yH>;5A?3*saL@l$UP-L_oo`lZ1Tdq zyr(}Ve@Ds>A4@}fOP{x$%TeN^(#U{rP=_M@d>=H-$)c2v47;Y`)NUwiqwV)5(66zmr88BN0C8yV1rx~v* zHZ``jUVpH4iRMBY0o#n+!$)7O6jNJoiUFdAg#RXLb5Tq`)7W_`@kNVZHzI*r7LC4M zl~m$Za#z4?6%e+x`N!-=B%gk84iodos=GhlZ3bP9T8p|A6DTuU){kQ^IlP}KVQ;>| z&z`+GjhrBe{58?;<-B6Y#-6*Y#5!6lv3XzpzPL(Pxk>}sZFlt(_4Y*Vhzo|i7-R7o zIvZeT!y$04M4`xz8ALu>96290Rxigj>!_N@v(=$O8AD0|au&@d?O|c&I47*T*HCe> zg`6aTK%?(PZc~g{aM@J(^;O1k{cF<;MHh#SRFhksnFkp!DS#WG44V2t-r`Hj|a;gqzMU*MpV;y5K(nOfa zbL1q`%V`4g#zSUN?Nyds?od&*5F{sz&)xWIdP9*NyU6?n0ki)n*LN+2r_ndiq64TW zoD%e~+x1&l7}$w*%f7ft6#@8N3T4QukXpQNoP_Ha;5gnRMaNO+(ipX$I`Omf^YX4? 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currentLevel <- currentLevel + 1 + let! currentLevelScalar = Scalar.create currentLevel + let! frontierMask = Vector.mask frontier + do! Vector.fillSubVector levels frontierMask currentLevelScalar + let! levelsComplemented = Vector.complemented levels + do! Matrix.mxvWithMask AddMult.int levelsComplemented transposed frontier + >>= Vector.assignVector frontier + let! succ = + Vector.reduce AddMult.int frontier + >>= Scalar.exportValue + break' <- succ = 0 + return levels +} + \end{lstlisting} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Приложение 2} + \begin{lstlisting}[language=c++, caption=Реализация поиска в ширину в GraphBLAST, basicstyle=\tiny, numbers=left, numberstyle={\tiny \color{black}}, xleftmargin=5.0ex] +void bfs(Vector *v, const Matrix *A, Index s, Descriptor *desc){ + Index A_nrows; + CHECK(A->nrows(&A_nrows)); + CHECK(v->fill(0.f)); + Vector q1(A_nrows); + Vector q2(A_nrows); + std::vector indices(1, s); + std::vector values(1, 1.f); + CHECK(q1.build(&indices, &values, 1, GrB_NULL)); + float iter = 1; + float succ = 0.f; + do { + assign(v, &q1, GrB_NULL, iter, GrB_ALL, A_nrows, desc); + CHECK(desc->toggle(GrB_MASK)); + vxm( + &q2, v, GrB_NULL, LogicalOrAndSemiring(), &q1, A, desc); + CHECK(desc->toggle(GrB_MASK)); + CHECK(q2.swap(&q1)); + reduce(&succ, GrB_NULL, PlusMonoid(), &q1, desc); + iter++; + } while (succ > 0); +} + \end{lstlisting} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Приложение 3} + \begin{lstlisting}[language=Python, caption=Реализация поиска в ширину в pygraphblas, basicstyle=\tiny, numbers=left, numberstyle={\tiny \color{black}}, xleftmargin=5.0ex] +def bfs(matrix, start): + v = Vector.sparse(UINT8, matrix.nrows) + q = Vector.sparse(BOOL, matrix.nrows) + q[start] = True + not_done = True + level = 1 + while not_done and level <= matrix.nrows: + v.assign_scalar(level, mask=q) + q = v.vxm(matrix, mask=v, + desc=descriptor.ooco) + not_done = q.reduce_bool() + level += 1 + return v + \end{lstlisting} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Приложение 4} + \begin{lstlisting}[language=ml, caption=GraphBLAS-sharp, basicstyle=\tiny] +// t4 <- sigma.[i - 1, *] * t3 +do! Matrix.extractRow sigma (i - 1) +>>= Vector.apply (UnaryOp <@ float32 @>) +>>= fun x -> Vector.eWiseMult AddMult.float32 x t3 +>>= Vector.assignVector t4 + \end{lstlisting} + + \begin{lstlisting}[language=c, caption=SuiteSparse GraphBLAS, basicstyle=\tiny] +// t4 = sigma[i - 1, :] +GrB_extract(t4, GrB_NULL, GrB_NULL, sigma, GrB_ALL, n, i - 1, GrB_DESC_T0); +// t4 = t4 * t3 +GrB_eWiseAdd(*delta, GrB_NULL, GrB_NULL, GrB_PLUS_FP32, *delta, t4, GrB_NULL); + \end{lstlisting} +\end{frame} + +\begin{frame} + \frametitle{Приложение 5} + \begin{table}[htbp] + \begin{tabularx}{\textwidth}{X|l|l|X} + Название & |V| & |E| & GraphBLAS-sharp, мс \\ + \hline + arc130 & 130 & 1282 & 129.1 \\ + linux-call-graph & 324085 & 1208908 & 732.9 \\ + webbase-1M & 1000005 & 3105536 & 929.9 \\ + cit-Patents & 3774768 & 16518948 & 2091.9 \\ + \hline + \end{tabularx} + \caption{Среднее время работы алгоритма транспонирования} + \end{table} + \begin{itemize} + \item Windows 10, Intel Core i5-4690K CPU 3.50GHz, DDR3 8GB RAM, GeForce GTX 970, 4GB VRAM + \end{itemize} +\end{frame} + +\end{document} \ No newline at end of file diff --git a/2021/diploma/Dmitriy Panfilyonok/report/Panfilyonok-report.pdf b/2021/diploma/Dmitriy Panfilyonok/report/Panfilyonok-report.pdf new file mode 100644 index 0000000000000000000000000000000000000000..5c1a754abbe84875c7e543887adf497d04ddd8d6 GIT binary patch literal 406978 zcmeFXb!;R}*5+%snHk$qW@ct)W@r!p|92zGZg$21I(0>3lRvj%Y-8$V24H6a(21H`IT<_r zIa=vE84DX5+8X`2>hGhxzJs+R;4cw`Y^|KFZ5#p206KXGVl-rjax)pS zva>U@v9K5!>9f*vu&}VOG8r(@n;5X_|1rtfh*$eB4;-BwjPw-WPkjJ*U$EIS(ZhwyV476YxL4$zo zk^AN7akI|QVv>l4Dfs^a1&T0$XZg$Ef5!hmZ}tBu+kdzJTY>*p;J+34Zw3Baf&Xh2 zfc^(5{0qcn^{tH^0Zfccf764Uow1F8p_93-%^%$OgI@pO3sG~Yf3TRdlhq$=a|E!n z{@pLHZ)z;_53*5lG?x3{a=Vm$nq*$}0CL4>0GVifq*0GXz6{kUnVI>F-L!Hq>-5F{%)kY2DZ+{5XF=Q~&1 zNa=k)T)%t?h~L*SF~1dI_V|?}f&tN%S(N<$Vd)lr{u3bo@adn6036JJo2+Q;XzT1?_{UKOrhoG0-*ZoHwr0+;U!<%5D^K{tT4p^d0IwS*+3`w0pu;e!Yokce&x)4WyoTy{(4*%lb13jh+^_20RLBoRS};t(vb)9}ee 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экспериментальное сравнение предложенной реализации с аналогом на платформе .NET и оценены результаты. +\end{enumerate} diff --git a/2021/diploma/Dmitriy Panfilyonok/report/header.tex b/2021/diploma/Dmitriy Panfilyonok/report/header.tex new file mode 100644 index 000000000..b6f073332 --- /dev/null +++ b/2021/diploma/Dmitriy Panfilyonok/report/header.tex @@ -0,0 +1,134 @@ +% По умолчанию используется шрифт 14 размера. Если нужен 12-й шрифт, уберите опцию [14pt] +\documentclass[14pt + , russian + %, xcolor={svgnames} + ]{matmex-diploma-custom} +\usepackage[table]{xcolor} +\usepackage{graphicx} +\usepackage{tabularx} +\newcolumntype{Y}{>{\centering\arraybackslash}X} +\usepackage{amsmath} +\usepackage{amsthm} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage{mathtools} +\usepackage{thmtools} +\usepackage{thm-restate} +\usepackage{tikz} +\usepackage{wrapfig} +% \usepackage[kpsewhich,newfloat]{minted} +% \usemintedstyle{vs} +\usepackage[inline]{enumitem} +\usepackage{subcaption} +\usepackage{caption} +\usepackage[nocompress]{cite} +\usepackage{makecell} +% \setitemize{noitemsep,topsep=0pt,parsep=0pt,partopsep=0pt} +% \setenumerate{noitemsep,topsep=0pt,parsep=0pt,partopsep=0pt} +\usepackage{hyperref} +\usepackage{threeparttable} +\usepackage{tabularx} + +\graphicspath{ {resources/} } + +% +% % \documentclass +% % [ a4paper % (Predefined, but who knows...) +% % , draft, % Show bad things. +% % , 12pt % Font size. +% % , pagesize, % Writes the paper size at special areas in DVI or +% % % PDF file. Recommended for use. +% % , parskip=half % Paragraphs: noindent + gap. +% % , numbers=enddot % Pointed numbers. +% % , BCOR=5mm % Binding size correction. +% % , submission +% % , copyright +% % , creativecommons +% % ]{eptcs} +% % \providecommand{\event}{ML 2018} % Name of the event you are submitting to +% % \usepackage{breakurl} % Not needed if you use pdflatex only. +% +% \usepackage{underscore} % Only needed if you use pdflatex. +% +% \usepackage{booktabs} +% \usepackage{amssymb} +% \usepackage{amsmath} +% \usepackage{mathrsfs} +% \usepackage{mathtools} +% \usepackage{multirow} +% \usepackage{indentfirst} +% \usepackage{verbatim} +% \usepackage{amsmath, amssymb} +% \usepackage{graphicx} +% \usepackage{xcolor} +% \usepackage{url} +% \usepackage{stmaryrd} +% \usepackage{xspace} +% \usepackage{comment} +% \usepackage{wrapfig} +% \usepackage[caption=false]{subfig} +% \usepackage{placeins} +% \usepackage{tabularx} +% \usepackage{ragged2e} +% \usepackage{soul} +\usepackage{csquotes} +% \usepackage{inconsolata} +% +% \usepackage{polyglossia} % Babel replacement for XeTeX +% \setdefaultlanguage[spelling=modern]{russian} +% \setotherlanguage{english} +% \usepackage{fontspec} % Provides an automatic and unified interface +% % for loading fonts. +% \usepackage{xunicode} % Generate Unicode chars from accented glyphs. +% \usepackage{xltxtra} % "Extras" for LaTeX users of XeTeX. +% \usepackage{xecyr} % Help with Russian. +% +% %% Fonts +% \defaultfontfeatures{Mapping=tex-text} +% \setmainfont{CMU Serif} +% \setsansfont{CMU Sans Serif} +% \setmonofont{CMU Typewriter Text} + +\usepackage[final]{listings} + +\lstdefinelanguage{ocaml}{ +keywords={@type, function, fun, let, in, match, with, when, class, type, +nonrec, object, method, of, rec, repeat, until, while, not, do, done, as, val, inherit, and, +new, module, sig, deriving, datatype, struct, if, then, else, open, private, virtual, include, success, failure, +lazy, assert, true, false, end}, +sensitive=true, +commentstyle=\small\itshape\ttfamily, +keywordstyle=\ttfamily\bfseries, %\underbar, +identifierstyle=\ttfamily, +basewidth={0.5em,0.5em}, +columns=fixed, +fontadjust=true, +literate={->}{{$\to$}}3 {===}{{$\equiv$}}1 {=/=}{{$\not\equiv$}}1 {|>}{{$\triangleright$}}3 {\\/}{{$\vee$}}2 {/\\}{{$\wedge$}}2 {>=}{{$\ge$}}1 {<=}{{$\le$}} 1, +morecomment=[s]{(*}{*)} +} + +\lstset{ +mathescape=true, +%basicstyle=\small, +identifierstyle=\ttfamily, +keywordstyle=\bfseries, +commentstyle=\scriptsize\rmfamily, +basewidth={0.5em,0.5em}, +fontadjust=true, +captionpos=b +} + +\newcommand{\cd}[1]{\texttt{#1}} +\newcommand{\inbr}[1]{\left<#1\right>} + + +\newcolumntype{L}[1]{>{\raggedright\let\newline\\\arraybackslash\hspace{0pt}}m{#1}} +\newcolumntype{C}[1]{>{\centering\let\newline\\\arraybackslash\hspace{0pt}}m{#1}} +\newcolumntype{R}[1]{>{\raggedleft\let\newline\\\arraybackslash\hspace{0pt}}m{#1}} + + + +\usepackage{soul} +\usepackage[normalem]{ulem} +%\sout{Hello World} + diff --git a/2021/diploma/Dmitriy Panfilyonok/report/implementation.tex b/2021/diploma/Dmitriy Panfilyonok/report/implementation.tex new file mode 100644 index 000000000..f3adfa807 --- /dev/null +++ b/2021/diploma/Dmitriy Panfilyonok/report/implementation.tex @@ -0,0 +1,72 @@ +\subsection{Архитектура решения} +\paragraph{} + +Архитектура предлагаемого решение приведена на рисунке \ref{fig:arch}. +\begin{figure}[h!] +\centering +\includegraphics[scale=0.5]{pictures/dia3.png} +\caption{Архитектура предлагаемой библиотеки GraphBLAS-sharp} +\label{fig:arch} +\end{figure} + +В рамках данной работы были реализованы компоненты библиотеки GraphBLAS-sharp, описанные ниже. +\begin{itemize} + \item \textbf{Модули коллекций Matrix и Vector}. Модули содержат абстрактные классы для представления матрицы и вектора, реализованные в виде размеченного объединения, а также конкретные форматы их хранения. + \item \textbf{Модули операций Matrix и Vector}. Модули содержат определение операций стандарта GraphBLAS для работы с абстрактными коллекциями. + \item \textbf{Модуль AlgebraicStructures}. Модуль содержит реализацию не\-ко\-то\-рых алгебраических структур, таких как моноид и полукольцо. + \item \textbf{Модуль Predefined}. Модуль содержит реализацию представителей классов алгебраических структур для встроенных типов данных. Так, например, в модуле реализованно стандартное булево полукольцо, стандартное арифметическое полукольцо над встроенными типами данных, а также тропическое полукольцо. + \item \textbf{Модуль GraphblasEvaluation}. Модуль содержит вычислительное выражение GraphblasEvaluation. Оно выполняет 2 функции --- во-первых, являясь по своей сути монадой Reader, позволяет выставлять глобальные и локальные параметры вычисления, а во-вторых, оно скрывает использование интерфейса для работы с OpenCL, который предоставляет библиотека Brahma.Fsharp. + \item \textbf{Модуль MtxReader}. Модуль предназначен для импорта матриц из файлов в формате \textit{mtx}. + \item \textbf{Модуль Algorithms}. Модуль содержит небольшой набор классических алгоритмов на графах. В нем реализованы следующие алгоритмы: + \begin{itemize} + \item алгоритм поиска в ширину из единственной вершины + \item алгоритм поиска кратчайшего пути из единственной вершины + \item алгоритм подсчета числа треугольников в графе + \item алгоритм вычисления меры центральности вершины + \end{itemize} + \item \textbf{Модуль Backend}. Модуль содержит реализацию соответствующих операций для конкретных форматов хранения матрицы и вектора. В рамках данной работы были реализованны следующие операции: + \begin{itemize} + \item умножение матрицы в CSR формате на разреженный вектор + \item транспонирование матрицы в CSR формате + \item создание разреженного вектора из списка элементов + \end{itemize} +\end{itemize} + +\subsection{Реализация коллекций} +\paragraph{} +Особенностью стандарта GraphBLAS является то, что описываемые в нем объекты абстрактны --- за реализацию внутреннего хранения объектов ответственен разработчик решения. + +В качестве форматов хранения матрицы используются 2 формата --- CSR и COO. +Матрицы, которые выражают графы, обычно сильно разреженны, поэтому использовать плотную матрицу в качестве внутренней реализации нецелесообразно. +CSR формат, по сравнению, например, с диагональным (DIA) или ELLPACK (ELL) форматом, лучше подходит для хранения произвольных разреженных матриц, так как не требует от матрицы соответствия определенному паттерну для эффективного хранения. По сравнению с COO он занимает $2 \cdot nnz + n + 1$ вместо $3\cdot nnz$ памяти (здесь и далее $nnz$ --- число ненулевых элементов матрицы, $n$ --- число строк матрицы, $m$ --- число столбцов) и предоставляет доступ к произвольной строке за $O(1)$, что является существенным преимущество при реализации параллельных алгоритмов. В то же время для хранения сверхразреженных матриц, у которых $nnz > (m\cdot(n-1)-1)/2$ лучше подходит формат COO. + +\subsection{Реализация операций} +\subsubsection{Умножение матрицы в CSR формате на разреженный вектор} +\paragraph{} +Для реализации операции умножения матрицы на вектор были рассмотрены несколько алгоритмов. В статье за авторством W. Liu and B. Vinter\cite{esc} приводится алгоритм умножения разреженных матриц в CSR формате. Ключевой операцией в алгоритмах такого рода является операция слияния строк промежуточной матрицы. Так как все строки имеют разное число ненулевых элементов, то для данной операции особо важно выбрать эффективный метод балансирования нагрузки. В данной статье предлагается разделить все строки промежуточной матрицы на 38 групп в зависимости числа ненулевых элементов в них и для каждой группы использовать один из четырех алгоритмов слияния. Однако, как показывает последние работы в данной области\cite{hash}, существуют более производительные и простые в решения. Так, статья за авторством Y. Nagasaka и др.\cite{hash}, которая также описывает алгоритм умножения разреженных матриц в CSR формате, предлагает для слияния строк использовать хеш-таблицу. По словам автора, этот алгоритм выигрывает у предыдущего и по времени работы, и по количеству потребляемой памяти. Однако для обновления данных в хеш-таблице алгоритм использует атомарные операции, а атомарные операции над произвольными типами на данный момент не поддерживаются библиотекой Brahma.FSharp, поэтому реализовать данный алгоритм оказалось невозможно. Алгоритм, описывающий умножение матрицы в CSR формате на разреженный вектор, за авторством Y. Tao и др.\cite{atomic} также предполагает использование атомарных операций, что делает невозможным его реализацию. Другой метод авторов Yang, C., Wang, Y., и Owens, J. D\cite{mxv_bfs} описывает умножения матрицы в CSR формате на разреженный вектор в контексте применения его в алгоритмах, подобных алгоритму поиска в ширину, а при оценке эффективности работы использует допущение о том, что вектор имеет небольшое число ненулевых элементов. Несмотря на то, что именно этот алгоритм реализован в аналогичной библиотеке GraphBLAST, было решено отказаться от него в пользу альтернативного варианта. В предлагаемой работе был реализован следующий алгоритм. +\begin{enumerate} + \item Каждая строка матрицы умножается на разреженный вектор. + \begin{itemize} + \item Каждая строка обрабатывается 1 рабочей группой. + \item Каждый поток в рабочей группе обрабатывает 1 элемент левого вектора с шагом, равным размеру рабочей группы. + \item Значение с нужным индексом в правом векторе ищется бинарным поиском. + \end{itemize} + \item Полученный вектор промежуточных значений фильтруется от нулевых элементов с использованием префиксной суммы. +\end{enumerate} + +\subsubsection{Транспонирование матрицы в CSR формате} +\paragraph{} +Для транспонирования матрицы в CSR формате был реализован наивный алгоритм, предполагающий конвертацию матрицы в формат COO. +\begin{enumerate} + \item Матрица в CSR формате конвертируется в формат COO. + \item Индексы элементов сортируются битонической сортировкой так, чтобы соответствовать транспонированной матрице. + \item Матрица в COO формате конвертируется обратно в формат CSR. +\end{enumerate} + +\subsection{Тестирование и непрерывная интеграция} +\paragraph{} +Использование высокоуровневого языка для реализации стандарта GraphBLAS, в том числе, облегчает тестирование. В GraphBLAS внутреннее поведение операции зависит от объектов управления и от того, как именно реализованы абстрактные объекты коллекций, причем с ростом числа используемых реализаций число вариантов операции, которые нужно тестировать, растет экспоненциально. В реализациях на С++, в которых для тестирования применялся Boost Test Framework, отдельно тестируется каждый вариант и, как правило, только на одном типе данных. + +В данной работе для тестирования используется библиотека Expecto\footnote{Репозиторий библиотеки Expecto: \url{https://github.com/haf/expecto}. Дата посещения: 01.06.2021}. За счет интеграции с библиотекой FsCheck\footnote{Репозиторий библиотеки FsCheck: \url{https://github.com/fscheck/FsCheck}. Дата посещения: 01.06.2021}, она поддерживает property-based тестирование, что позволяет автоматически генерировать наборы данных для тестов. Кроме того, она позволяет писать комбинаторные параметрические тесты, благодаря чему можно легко проверить все возможные варианты операции. + +Возможность исполнения на CPU программ, которые используют OpenCL, позволила легко настроить тестирование библиотеки в сервисах непрерывной интеграции, таких как AppVeyor и GitHub Actions. \ No newline at end of file diff --git a/2021/diploma/Dmitriy Panfilyonok/report/intro.tex b/2021/diploma/Dmitriy Panfilyonok/report/intro.tex new file mode 100644 index 000000000..140dfea46 --- /dev/null +++ b/2021/diploma/Dmitriy Panfilyonok/report/intro.tex @@ -0,0 +1,31 @@ +\paragraph{} +Графы являются одной из основных структур в информатике, а алгоритмы над ними чрезвычайно важны в анализе компьютерных и социальных сетей, статическом анализе кода, биоинформатике~\cite{gb_math}. Графы, возникающие в данных областях, могут содержать миллионы узлов и ребер, поэтому распараллеливание алгоритмов для работы с ними оказывается необходимым условием достижения высокой производительности. Однако такое улучшение их эффективности происходит за счет более сложной модели программирования~\cite{blast}. Результатом этого становится, в том числе, несоответствие между языками высокого уровня, на которых пользователи и разработчики графовых алгоритмов предпочли бы программировать (например, Python), и языками программирования для параллельного оборудования~\cite{blast}. Таким образом, существующие решения либо просты в использовании (networkx\footnote{Репозиторий библиотеки networkx: \url{https://github.com/networkx/networkx}. Дата посещения: 13.12.2020}), либо высокопроизводительны (gunrock\footnote{Репозиторий библиотеки gunrock: \url{https://github.com/gunrock/gunrock} Дата посещения: 13.12.2020}). Проблемой является и то, что традиционные параллельные алгоритмы для анализа графов тяжело реализовывать и оптимизировать, а прирост производительности от роста числа параллельных процессов снижается~\cite{gb_math}. + +С появлением эффективных структур и алгоритмов для разреженных матриц становится возможным использование подхода к вычислению над графами, основанного на линейной алгебре. Матрица смежности может представлять широкий спектр графов, включая ориентированные, взвешенные, двудольные. Ключевым свойством такого подхода является способность оперировать богатым набором графов различных типов с помощью небольшого набора матричных операций над полукольцами. Например, транспонирование матрицы смежности изменяет направления ребер в ориентированном графе, а умножение матрицы на вектор, как показано на рисунке~\ref{fig:bfs_step}, является шагом в алгоритме поиска в ширину. + +\begin{figure}[h!] + \centering + \includegraphics[width=0.9\linewidth]{pictures/MatrixBFS.png} + \caption{Вычисление одного шага в алгоритме поиска в ширину\footnotemark} + \label{fig:bfs_step} +\end{figure} + +Спецификация GraphBLAS~\cite{gb_math} определяет базовые примитивы для построения графовых алгоритмов в терминах линейной алгебры. Разработчики считают, что эта область достаточно зрела, чтобы иметь потребность в стандартизации. Стандартизация позволяет сконцентрировать усилия исследователей на разработке инновационных алгоритмов для анализа и обработки графов, а не придумывать все новые, во многом пересекающиеся, низкоуровневые решения. Кроме того, благодаря такому подходу, по словам авторов\cite{sevengr}, возможно решение некоторых проблем, описанных ниже. +\begin{enumerate} + \item \textbf{Переносимость.} Алгоритмы не требуют модификаций для достижения высокой производительности на конкретном устройстве. + \item \textbf{Лаконичность.} Алгоритмы выражаются гораздо меньшим числом строчек кода. + \item \textbf{Производительность.} Алгоритмы остаются высокопроизводительными. + \item \textbf{Масштабируемость.} Алгоритмы эффективны как на небольших, так и на огромных данных. +\end{enumerate} + +\footnotetext{GraphBLAS [Электронный ресурс] // Википедия. Свободная энциклопедия. – URL: \url{https://en.wikipedia.org/wiki/GraphBLAS} (дата обращения: 13.12.2020).} + +GraphBLAS описывает небольшое множество математических операций, которые необходимы для реализации широкого спектра операций над графами. В стандарте описаны следующие объекты: +\begin{itemize} + \item абстрактные структуры для хранения дынных (матрицы, векторы) + \item алгебраические структуры (моноиды, полукольца, бинарные и унарные операторы) + \item операции линейной алгебры над произвольными алгебраическими структурами (произведение матриц, поэлементное сложение и умножение, взятие подматрицы и т.д.) + \item объекты управления (маски и дескрипторы) +\end{itemize} + +На данный момент стандарт GraphBLAS уже имеет несколько полноценных реализаций\footnote{Форум, посвященный стандарту GraphBLAS: \url{https://graphblas.github.io/}. Дата посещения: 04.06.2021}, однако все они в основном ориентированы на исполнение на CPU. В то же время разработка инструмента с поддержкой исполнения на графических процессорах общего назначения является перспективным направлением исследований, так как их использование может существенно повысить производительность такого рода решений\cite{gbtl}\cite{blast}. На текущий момент нет стандартного подхода к реализации спецификации GraphBLAS на GPU --- разработчики сталкиваются не только с проблемами, связанными с реализацией обобщенных операций на графических процессорах с помощью стандартных инструментов языка C++, но и с переносимостью решений, основанных на программно-аппаратной платформе CUDA. Одним из возможных подходов к реализации GraphBLAS на GPU является использование языка высокого уровня, а также библиотек, динамически транслирующих конструкции и объекты данного языка в низкоуровневый код, способный исполнятся на графическом процессоре видеокарты. diff --git a/2021/diploma/Dmitriy Panfilyonok/report/main.bib b/2021/diploma/Dmitriy Panfilyonok/report/main.bib new file mode 100644 index 000000000..79aaaeb28 --- /dev/null +++ b/2021/diploma/Dmitriy Panfilyonok/report/main.bib @@ -0,0 +1,221 @@ +@INPROCEEDINGS{gb_math, + author={J. {Kepner} and P. {Aaltonen} and D. {Bader} and A. {Buluç} and F. {Franchetti} and J. {Gilbert} and D. {Hutchison} and M. {Kumar} and A. {Lumsdaine} and H. {Meyerhenke} and S. {McMillan} and C. {Yang} and J. D. {Owens} and M. {Zalewski} and T. {Mattson} and J. {Moreira}}, + booktitle={2016 IEEE High Performance Extreme Computing Conference (HPEC)}, + title={Mathematical foundations of the GraphBLAS}, + year={2016}, + volume={}, + number={}, + pages={1-9}, + doi={10.1109/HPEC.2016.7761646} +} + +@article{blast, + author = {Carl Yang and + Aydin Bulu{\c{c}} and + John D. Owens}, + title = {GraphBLAST: {A} High-Performance Linear Algebra-based Graph Framework + on the {GPU}}, + journal = {CoRR}, + volume = {abs/1908.01407}, + year = {2019}, + url = {http://arxiv.org/abs/1908.01407}, + archivePrefix = {arXiv}, + eprint = {1908.01407}, + timestamp = {Fri, 09 Aug 2019 12:15:56 +0200}, + biburl = {https://dblp.org/rec/journals/corr/abs-1908-01407.bib}, + bibsource = {dblp computer science bibliography, https://dblp.org} +} + +@inproceedings{gb_c, + author = {Aydin Bulu{\c{c}} and + Tim Mattson and + Scott McMillan and + Jos{\'{e}} E. Moreira and + Carl Yang}, + title = {Design of the GraphBLAS {API} for {C}}, + booktitle = {2017 {IEEE} International Parallel and Distributed Processing Symposium + Workshops, {IPDPS} Workshops 2017, Orlando / Buena Vista, FL, USA, + May 29 - June 2, 2017}, + pages = {643--652}, + publisher = {{IEEE} Computer Society}, + year = {2017}, + url = {https://doi.org/10.1109/IPDPSW.2017.117}, + doi = {10.1109/IPDPSW.2017.117}, + timestamp = {Wed, 16 Oct 2019 14:14:51 +0200}, + biburl = {https://dblp.org/rec/conf/ipps/BulucMMMY17.bib}, + bibsource = {dblp computer science bibliography, https://dblp.org} +} + +@article{suitesparse, + author = {Timothy A. Davis}, + title = {Algorithm 1000: SuiteSparse: GraphBLAS: Graph Algorithms in the Language + of Sparse Linear Algebra}, + journal = {{ACM} Trans. Math. Softw.}, + volume = {45}, + number = {4}, + pages = {44:1--44:25}, + year = {2019}, + url = {https://doi.org/10.1145/3322125}, + doi = {10.1145/3322125}, + timestamp = {Mon, 27 Jan 2020 10:41:32 +0100}, + biburl = {https://dblp.org/rec/journals/toms/Davis19.bib}, + bibsource = {dblp computer science bibliography, https://dblp.org} +} + +@article{gunrock, + author = {Yangzihao Wang and + Yuechao Pan and + Andrew A. Davidson and + Yuduo Wu and + Carl Yang and + Leyuan Wang and + Muhammad Osama and + Chenshan Yuan and + Weitang Liu and + Andy T. Riffel and + John D. Owens}, + title = {Gunrock: {GPU} Graph Analytics}, + journal = {CoRR}, + volume = {abs/1701.01170}, + year = {2017}, + url = {http://arxiv.org/abs/1701.01170}, + archivePrefix = {arXiv}, + eprint = {1701.01170}, + timestamp = {Mon, 13 Aug 2018 16:46:21 +0200}, + biburl = {https://dblp.org/rec/journals/corr/WangPDWYWOYLRO17.bib}, + bibsource = {dblp computer science bibliography, https://dblp.org} +} + +@article{combblas, + author = {Aydin Bulu{\c{c}} and + John R. Gilbert}, + title = {The Combinatorial {BLAS:} design, implementation, and applications}, + journal = {Int. J. High Perform. Comput. Appl.}, + volume = {25}, + number = {4}, + pages = {496--509}, + year = {2011}, + url = {https://doi.org/10.1177/1094342011403516}, + doi = {10.1177/1094342011403516}, + timestamp = {Thu, 12 Mar 2020 15:56:23 +0100}, + biburl = {https://dblp.org/rec/journals/ijhpca/BulucG11.bib}, + bibsource = {dblp computer science bibliography, https://dblp.org} +} + +@inproceedings{gbtl, + author = {Peter Zhang and + Marcin Zalewski and + Andrew Lumsdaine and + Samantha Misurda and + Scott McMillan}, + title = {{GBTL-CUDA:} Graph Algorithms and Primitives for GPUs}, + booktitle = {2016 {IEEE} International Parallel and Distributed Processing Symposium + Workshops, {IPDPS} Workshops 2016, Chicago, IL, USA, May 23-27, 2016}, + pages = {912--920}, + publisher = {{IEEE} Computer Society}, + year = {2016}, + url = {https://doi.org/10.1109/IPDPSW.2016.185}, + doi = {10.1109/IPDPSW.2016.185}, + timestamp = {Wed, 16 Oct 2019 14:14:51 +0200}, + biburl = {https://dblp.org/rec/conf/ipps/ZhangZLMM16.bib}, + bibsource = {dblp computer science bibliography, https://dblp.org} +} + +@article{sevengr, +title = {Graphs, Matrices, and the GraphBLAS: Seven Good Reasons}, +journal = {Procedia Computer Science}, +volume = {51}, +pages = {2453-2462}, +year = {2015}, +note = {International Conference On Computational Science, ICCS 2015}, +issn = {1877-0509}, +doi = {https://doi.org/10.1016/j.procs.2015.05.353}, +url = {https://www.sciencedirect.com/science/article/pii/S1877050915011618}, +author = {Jeremy Kepner and David Bader and Aydın Buluç and John Gilbert and Timothy Mattson and Henning Meyerhenke}, +keywords = {graphs, algorithms, matrices, linear algebra, software standards}, +abstract = {The analysis of graphs has become increasingly important to a wide range of applications. Graph analysis presents a number of unique challenges in the areas of (1) software complexity, (2) data complexity, (3) security, (4) mathematical complexity, (5) theoretical analysis, (6) serial performance, and (7) parallel performance. Implementing graph algorithms using matrix-based approaches provides a number of promising solutions to these challenges. The GraphBLAS standard (istc-bigdata.org/GraphBlas) is being developed to bring the potential of matrix based graph algorithms to the broadest possible audience. The GraphBLAS mathematically defines a core set of matrix-based graph operations that can be used to implement a wide class of graph algorithms in a wide range of programming environments. This paper provides an introduction to the GraphBLAS and describes how the GraphBLAS can be used to address many of the challenges associated with analysis of graphs.} +} + +@INPROCEEDINGS{esc, author={Liu, Weifeng and Vinter, Brian}, booktitle={2014 IEEE 28th International Parallel and Distributed Processing Symposium}, title={An Efficient GPU General Sparse Matrix-Matrix Multiplication for Irregular Data}, year={2014}, volume={}, number={}, pages={370-381}, doi={10.1109/IPDPS.2014.47}} + +@INPROCEEDINGS{hash, author={Nagasaka, Yusuke and Nukada, Akira and Matsuoka, Satoshi}, booktitle={2017 46th International Conference on Parallel Processing (ICPP)}, title={High-Performance and Memory-Saving Sparse General Matrix-Matrix Multiplication for NVIDIA Pascal GPU}, year={2017}, volume={}, number={}, pages={101-110}, doi={10.1109/ICPP.2017.19}} + +@INPROCEEDINGS{atomic, author={Tao, Yuan and Deng, Yangdong and Mu, Shuai and Zhu, Mingfa and Xiao, Limin and Ruan, Li and Huang, Zhibin}, booktitle={2014 20th IEEE International Conference on Parallel and Distributed Systems (ICPADS)}, title={Atomic reduction based sparse matrix-transpose vector multiplication on GPUs}, year={2014}, volume={}, number={}, pages={987-992}, doi={10.1109/PADSW.2014.7097920}} + +Yang, C., Wang, Y., & Owens, J. D. (). Fast Sparse Matrix and Sparse Vector Multiplication Algorithm on the GPU. UC Davis. Retrieved from https://escholarship.org/uc/item/1rq9t3j3 + +@article{mxv_bfs, + author = {Yangzihao Wang and + Carl Yang and + John D. Owens}, + title = {Fast Sparse Matrix and Sparse Vector Multiplication Algorithm on the GPU}, + year = {2015}, + url = {https://escholarship.org/uc/item/1rq9t3j3}, +} + +@article{matcol, +author = {Davis, Timothy A. and Hu, Yifan}, +title = {The University of Florida Sparse Matrix Collection}, +year = {2011}, +issue_date = {November 2011}, +publisher = {Association for Computing Machinery}, +address = {New York, NY, USA}, +volume = {38}, +number = {1}, +issn = {0098-3500}, +url = {https://doi.org/10.1145/2049662.2049663}, +doi = {10.1145/2049662.2049663}, +abstract = {We describe the University of Florida Sparse Matrix Collection, a large and actively growing set of sparse matrices that arise in real applications. The Collection is widely used by the numerical linear algebra community for the development and performance evaluation of sparse matrix algorithms. It allows for robust and repeatable experiments: robust because performance results with artificially generated matrices can be misleading, and repeatable because matrices are curated and made publicly available in many formats. Its matrices cover a wide spectrum of domains, include those arising from problems with underlying 2D or 3D geometry (as structural engineering, computational fluid dynamics, model reduction, electromagnetics, semiconductor devices, thermodynamics, materials, acoustics, computer graphics/vision, robotics/kinematics, and other discretizations) and those that typically do not have such geometry (optimization, circuit simulation, economic and financial modeling, theoretical and quantum chemistry, chemical process simulation, mathematics and statistics, power networks, and other networks and graphs). We provide software for accessing and managing the Collection, from MATLAB™, Mathematica™, Fortran, and C, as well as an online search capability. Graph visualization of the matrices is provided, and a new multilevel coarsening scheme is proposed to facilitate this task.}, +journal = {ACM Trans. Math. Softw.}, +month = dec, +articleno = {1}, +numpages = {25}, +keywords = {Graph drawing, sparse matrices, multilevel algorithms, performance evaluation} +} + +@article{gap, + author = {Scott Beamer and + Krste Asanovic and + David A. Patterson}, + title = {The {GAP} Benchmark Suite}, + journal = {CoRR}, + volume = {abs/1508.03619}, + year = {2015}, + url = {http://arxiv.org/abs/1508.03619}, + archivePrefix = {arXiv}, + eprint = {1508.03619}, + timestamp = {Mon, 13 Aug 2018 16:46:47 +0200}, + biburl = {https://dblp.org/rec/journals/corr/BeamerAP15.bib}, + bibsource = {dblp computer science bibliography, https://dblp.org} +} + +@article{fusion, + author = {Jiri Filipovic and + Matus Madzin and + Jan Fousek and + Ludek Matyska}, + title = {Optimizing {CUDA} Code By Kernel Fusion---Application on {BLAS}}, + journal = {CoRR}, + volume = {abs/1305.1183}, + year = {2013}, + url = {http://arxiv.org/abs/1305.1183}, + archivePrefix = {arXiv}, + eprint = {1305.1183}, + timestamp = {Mon, 13 Aug 2018 16:46:55 +0200}, + biburl = {https://dblp.org/rec/journals/corr/abs-1305-1183.bib}, + bibsource = {dblp computer science bibliography, https://dblp.org} +} + +@article{deforset, +title = {Deforestation: transforming programs to eliminate trees}, +journal = {Theoretical Computer Science}, +volume = {73}, +number = {2}, +pages = {231-248}, +year = {1990}, +issn = {0304-3975}, +doi = {https://doi.org/10.1016/0304-3975(90)90147-A}, +url = {https://www.sciencedirect.com/science/article/pii/030439759090147A}, +author = {Philip Wadler}, +abstract = {An algorithm that transforms programs to eliminate intermediate trees is presented. The algorithm applies to any term containing only functions with definitions in a given syntactic form, and is suitable for incorporation in an optimizing compiler.} +} \ No newline at end of file diff --git a/2021/diploma/Dmitriy Panfilyonok/report/main.tex b/2021/diploma/Dmitriy Panfilyonok/report/main.tex new file mode 100644 index 000000000..baf10d1dc --- /dev/null +++ b/2021/diploma/Dmitriy Panfilyonok/report/main.tex @@ -0,0 +1,31 @@ +\input{header.tex} + +\begin{document} +\input{title} +\maketitle +\setcounter{tocdepth}{2} +\tableofcontents + +\section{Введение} +\input{intro} + +\section{Постановка задачи} +\input{task} + +\section{Обзор} +\input{related} + +\section{Реализация} +\input{implementation} + +\section{Результаты} +\input{results} + +\section{Заключение} +\input{conclusion} + +% \nocite{*} +\setmonofont[Mapping=tex-text]{CMU Typewriter Text} +\bibliographystyle{ugost2008ls} +\bibliography{main} +\end{document} diff --git a/2021/diploma/Dmitriy Panfilyonok/report/matmex-diploma-custom.cls b/2021/diploma/Dmitriy Panfilyonok/report/matmex-diploma-custom.cls new file mode 100644 index 000000000..1d3cd277e --- /dev/null +++ b/2021/diploma/Dmitriy Panfilyonok/report/matmex-diploma-custom.cls @@ -0,0 +1,394 @@ +\NeedsTeXFormat{LaTeX2e} +\ProvidesClass{matmex-diploma-custom}[2020/12/09 MatMex LaTeX diploma class] +\def\my@fontsize{12pt}\def\my@baseclass{article}\def\my@title12pt{}\def\my@body14pt{} + +% Если используется опция 14pt то нужно несколько хаков +\DeclareOption{14pt}{ + \def\ignore#1{} + % во-первых, класс наследуется от extarticle + \def\my@fontsize{14pt} + \def\my@baseclass{extarticle} + + % во-вторых, титульный лист должен набираться так, как будто + % используется шрифт 12pt - иначе он выглядит совсем конским + % Для этого мы явно загружаем size12.clo, но так как он на такое не рассчитан, + % и использует \newcommand для определения всяких \small и \Large + % то у нас \newcommand временно превращается в \renewcommand + \let\orignewcommand\newcommand + \let\origNeedsTeXFormat\NeedsTeXFormat + \def\my@title12pt{ + \let\newcommand\renewcommand + \makeatletter + \input{size12.clo}% + \makeatother + \let\newcommand\orignewcommand + } + % в-третьих, после того как титульный лист сгенерирован, нужно снова вернуться + % к базовому шрифту 14pt. Применяется такой же хак: загрузи size14.clo + % временно переопределив \newcommand => \renewcommand + \def\my@body14pt{ + % отдельное внимание подавлению команды \NeedsTeXFormat, которая требует + % чтобы код size14.clo выполнялся в преамбуле (а тут он уже внутри документа) + \let\NeedsTeXFormat\ignore + \let\newcommand\renewcommand + \makeatletter + \input{size14.clo}% + \makeatother + \let\newcommand\orignewcommand + \let\NeedsTeXFormat\origNeedsTeXFormat + } +} +\ProcessOptions\relax +\LoadClass[a4paper,\my@fontsize]{\my@baseclass} + +% Поля настраиваются командами \newgeometry во время и после генерации титульных +% страниц и +\usepackage[a4paper]{geometry} + +\usepackage{fancyhdr} +\usepackage{ifthen} + + +\usepackage{iftex} +\ifXeTeX + %% Мы используем компилятор XeLaTex, который дружит с Unicode и True Type/Open Type + %% шрифтами. Для русификации достаточно подключить пакет fontspec и + %% выбрать Unicode шрифт в котором есть кириллические глифы. Ниже + %% основным шрифтом выбирается Unicode версия шрифта Computer Modern с заcечками + \usepackage{fontspec} + \setmainfont[Mapping=tex-text]{CMU Serif} + \setmonofont[Mapping=tex-text]{CMU Typewriter Text} + %\setmonofont{Fira Code}[Contextuals=Alternate,Scale=0.9] + %\setmonofont{Inconsolata} + %\newfontfamily\cyrillicfont{CMU Serif} + %% В XeLaTex заменой известного пакета babel является пакет polyglossia. + %% Теперь у нас будут переносы слов + \usepackage{polyglossia} + \setdefaultlanguage{russian} + \setotherlanguage{english} +\else + \PackageError{mypackage}{use XeLaTeX}{} +\fi + + +% \addto\captionsrussian{% +% \renewcommand{\figurename}{Рис.}% +% \renewcommand{\tablename}{Табл.}% +% } + +%% Отступ в первом абзаце +\usepackage{indentfirst} +%% Гиперссылки +\usepackage[colorlinks=true,urlcolor=blue,linkcolor=black,filecolor=black,citecolor=black]{hyperref} + +%% Включение графических файлов +%% we don't need to load graphicx since it will be loaded by xunicode (which is loaded by fontspec) +\usepackage[titletoc]{appendix} + +%% Эта команда добавляет отчеркнутое место для подписи после имени +%% Аргументы: имя и пояснение под чертой (например, слово "подпись") +\def\sigspace{\\[3em]} +\newcommand\sigplace[2]{ +#1\\[1.2em] +\underline{\hspace{3cm}}\\[-0.2em] +{\footnotesize #2} +\def\sigspace{\\[1em]% +\def\sigspace{\\[3em]}} +} + +%% Параметры заполнения титульного листа +\usepackage{xkeyval} + +%% Русскоязычный вариант +\define@key[ru]{mytitle}{chair}{\def\my@title@chair@ru{#1}} +\define@key[ru]{mytitle}{title}{\def\my@title@title@ru{#1}} +\define@key[ru]{mytitle}{group}{\def\my@title@group@ru{#1}} +\define@key[ru]{mytitle}{author}{\def\my@title@author@ru{#1}} +\define@key[ru]{mytitle}{supervisor}{\def\my@title@supervisor@ru{#1}} +\define@key[ru]{mytitle}{supervisorPosition}{\def\my@title@supervisorPosition@ru{#1}} +\define@key[ru]{mytitle}{reviewer}{\def\my@title@reviewer@ru{#1}} +\define@key[ru]{mytitle}{reviewerPosition}{\def\my@title@reviewerPosition@ru{#1}} +\define@key[ru]{mytitle}{consultant}{\def\my@title@consultant@ru{#1}} +\define@key[ru]{mytitle}{consultantPosition}{\def\my@title@consultantPosition@ru{#1}} +\define@key[ru]{mytitle}{year}{\def\my@title@year@ru{#1}} +\define@key[ru]{mytitle}{specialty}{\def\my@title@specialty@ru{#1}} +\define@key[ru]{mytitle}{programme}{\def\my@title@programme@ru{#1}} +\define@key[ru]{mytitle}{profile}{\def\my@title@profile@ru{#1}} +\define@choicekey*[ru]{mytitle}{type}{coursework,practice,prediploma,master,bachelor}{\def\my@title@type@ru{#1}} + +%% Англоязычный вариант +\define@key[en]{mytitle}{chair}{\def\my@title@chair@en{#1}} +\define@key[en]{mytitle}{title}{\def\my@title@title@en{#1}} +\define@key[en]{mytitle}{group}{\def\my@title@group@en{#1}} +\define@key[en]{mytitle}{author}{\def\my@title@author@en{#1}} +\define@key[en]{mytitle}{supervisor}{\def\my@title@supervisor@en{#1}} +\define@key[en]{mytitle}{supervisorPosition}{\def\my@title@supervisorPosition@en{#1}} +\define@key[en]{mytitle}{reviewer}{\def\my@title@reviewer@en{#1}} +\define@key[en]{mytitle}{reviewerPosition}{\def\my@title@reviewerPosition@en{#1}} +\define@key[en]{mytitle}{consultant}{\def\my@title@consultant@en{#1}} +\define@key[en]{mytitle}{consultantPosition}{\def\my@title@consultantPosition@en{#1}} +\define@key[en]{mytitle}{year}{\def\my@title@year@en{#1}} +\define@key[en]{mytitle}{specialty}{\def\my@title@specialty@en{#1}} +\define@key[en]{mytitle}{programme}{\def\my@title@programme@en{#1}} +\define@key[en]{mytitle}{profile}{\def\my@title@profile@en{#1}} +\define@choicekey*[en]{mytitle}{type}{coursework,practice,prediploma,master,bachelor}{\def\my@title@type@en{#1}} + +\newcommand{\filltitle}[2]{ +%% Значения по умолчанию для обоих языков + \ifthenelse{\equal{#1}{ru}} + { + \presetkeys[#1]{mytitle}{ + year = {\the\year}, + type = {practice}, + reviewer = {}, + consultant = {}, + profile = {} + }{} + } + {} + \ifthenelse{\equal{#1}{en}} + { + \presetkeys[#1]{mytitle}{ + year = {\the\year}, + type = {practice}, + reviewer = {}, + consultant = {}, + profile = {} + }{} + } + {} + \setkeys[#1]{mytitle}{#2} +} + +%% Титульная страница на русском языке +\newcommand\maketitleru{ +\fancypagestyle{titleru}{ + \fancyhf{} % clear all header and footer fields + \renewcommand{\headrulewidth}{0pt} % remove head ruler + % В верхнем колонтитуле будет университет, кафедра и группа, если это курсовая/практика, или просто университет для ВКР + \chead{\large + Санкт-Петербургский государственный университет + \vskip 1em + \ifthenelse{\equal{\my@title@type@ru}{bachelor} \OR \equal{\my@title@type@ru}{master}} + {} + { + {\large \my@title@chair@ru } + \vskip 1em + {\large Группа \my@title@group@ru } + } + } + % В нижнем колонтитуле город и год + \cfoot{\large\parbox[b]{\textwidth}{\centering Санкт-Петербург\\ \my@title@year@ru}} +} + +\title{\my@title@title@ru} +\begin{titlepage} +\newgeometry{top=20mm,bottom=20mm,left=20mm,right=15mm,nohead,includeheadfoot} +\thispagestyle{titleru} +\begin{center} + + \vspace*{0.25\textheight} + + \ifthenelse{\equal{\my@title@type@ru}{coursework} \OR \equal{\my@title@type@ru}{practice} \OR \equal{\my@title@type@ru}{prediploma}} + { + {\Large\textbf{\textit{\my@title@author@ru}}} + \vskip 2em + {\Huge \@title} + \vskip 1em + {\large + \ifthenelse{\equal{\my@title@type@ru}{coursework}} + {Отчёт по курсовой работе} + {\ifthenelse{\equal{\my@title@type@ru}{practice}} + {Отчёт по учебной практике} + {Отчёт по преддипломной практике} + } + }\\ + {\normalsize \raggedleft + \vskip 5em + Научный руководитель:\\ + \my@title@supervisorPosition@ru\ \my@title@supervisor@ru\\ + \ifthenelse{\equal{\my@title@consultant@ru}{}} + {} + { + \vskip 1em + Консультант:\\ + \my@title@consultantPosition@ru\ \my@title@consultant@ru\\ + } + } + } + { + {\Large\textbf{\textit{\my@title@author@ru}}} + \vskip 1em + {\large Выпускная квалификационная работа} + \vskip 1em + {\Huge \@title} + + \vskip 2em + Уровень образования: \ifthenelse{\equal{\my@title@type@ru}{master}}{магистратура}{бакалавриат} + + \vskip 1em + + Направление \textit{\my@title@specialty@ru} + + \vskip 1em + + Основная образовательная программа \textit{\my@title@programme@ru} + + \vskip 1em + + \ifthenelse{\equal{\my@title@profile@ru}{}}{}{Профиль \underline{\textit{\my@title@profile@ru}}} + + {\normalsize \raggedleft + \vskip 5em + Научный руководитель:\\ + \my@title@supervisorPosition@ru\ \my@title@supervisor@ru\\ + \vskip 1em + Рецензент:\\ + \my@title@reviewerPosition@ru\ \my@title@reviewer@ru\\ + } + } +\end{center} +\end{titlepage} +} + +% Титульная страница на английском языке +\newcommand\maketitleen{ +\fancypagestyle{titleen}{ + \fancyhf{} % clear all header and footer fields + \renewcommand{\headrulewidth}{0pt} % remove head ruler + %% В верхнем колонтитуле будет университет, кафедра и группа, если это курсовая/практика, или просто университет для ВКР + \chead{\large + Saint Petersburg State University + \vskip 1em + \ifthenelse{\equal{\my@title@type@en}{bachelor} \OR \equal{\my@title@type@en}{master}} + {} + { + {\large \my@title@chair@en } + \vskip 1em + {\large Group \my@title@group@en } + } + } + %% В нижнем колонтитуле город и год + \cfoot{\large\parbox[b]{\textwidth}{\centering Saint Petersburg\\ \my@title@year@en}} +} +\title{\my@title@title@en} +\begin{titlepage}% +\newgeometry{top=20mm,bottom=20mm,left=20mm,right=15mm,nohead,includeheadfoot} +\thispagestyle{titleen} + \begin{center} + + \vspace*{0.25\textheight} + + \ifthenelse{\equal{\my@title@type@en}{coursework} \OR \equal{\my@title@type@en}{practice} \OR \equal{\my@title@type@en}{prediploma}} + { + {\Large\textbf{\textit{\my@title@author@en}}} + \vskip 2em + {\Huge \@title} + \vskip 1em + {\large + \ifthenelse{\equal{\my@title@type@en}{coursework}} + {Coursework} + {\ifthenelse{\equal{\my@title@type@en}{practice}} + {Internship report} + {Pre-Diploma practice report} + } + }\\ + {\normalsize \raggedleft + \vskip 5em + Scientific supervisor:\\ + \my@title@supervisorPosition@en\ \my@title@supervisor@en\\ + \ifthenelse{\equal{\my@title@consultant@en}{}} + {} + { + \vskip 1em + Consultant:\\ + \my@title@consultantPosition@en\ \my@title@consultant@en\\ + } + } + } + { + {\Large\textbf{\textit{\my@title@author@en}}} + \vskip 1em + {\large \ifthenelse{\equal{\my@title@type@en}{master}}{Master's Thesis}{Bachelor's Thesis}} + \vskip 1em + {\Huge \@title} + + \vskip 2em + Education level: \ifthenelse{\equal{\my@title@type@en}{master}}{master}{bachelor} + + \vskip 1em + + Speciality \textit{\my@title@specialty@en} + + \vskip 1em + + Programme \textit{\my@title@programme@en} + + \vskip 1em + + \ifthenelse{\equal{\my@title@profile@en}{}}{}{Profile: \underline{\textit{\my@title@profile@en}}} + + {\normalsize \raggedleft + \vskip 5em + Scientific supervisor:\\ + \my@title@supervisorPosition@en\ \my@title@supervisor@en\\ + \vskip 1em + Reviewer:\\ + \my@title@reviewerPosition@en\ \my@title@reviewer@en\\ + } + } + \end{center} +\end{titlepage} +} + +%% Титульный лист генерируется, если для соответствующего языка +%% определен аргумент title +%% Счетчик страниц автоматически увеличивается при генерации титульнго листа +\renewcommand\maketitle{ +%% На титульной странице все кроме полей соответствует \documentclass[12pt]{article} +\my@title12pt +\newcounter{titlepages} +\setcounter{titlepages}{1} +\begin{spacing}{1.0} +\ifthenelse{\isundefined{\my@title@title@ru}}{}{ + % fancyhdr set height of the top/bottom headers automatically + % so set them to zero to be sure that he does it + \setlength{\headheight}{0pt} + \setlength{\footskip}{0pt} + \maketitleru\addtocounter{titlepages}{1} +} +\ifthenelse{\isundefined{\my@title@title@en}}{}{ + % fancyhdr already set height of the top/bottom headers on the previous page (titleru) + % but on this page the headers' height might be different + % so set them to zero again in order to make fancyhdr to do it + \setlength{\headheight}{0pt} + \setlength{\footskip}{0pt} + \maketitleen\addtocounter{titlepages}{1} +} +\end{spacing} +\setcounter{page}{\value{titlepages}} +% restore preamble's geometry +\my@body14pt +\newgeometry{top=20mm,bottom=20mm,left=30mm,right=15mm,nohead,includeheadfoot} +} + +%% Каждая глава начинается с новой страницы, введение и заключение не +%% нумеруются, но в оглавление входят. 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Hy8HhCZCX_n literal 0 HcmV?d00001 diff --git a/2021/diploma/Dmitriy Panfilyonok/report/related.tex b/2021/diploma/Dmitriy Panfilyonok/report/related.tex new file mode 100644 index 000000000..e66666208 --- /dev/null +++ b/2021/diploma/Dmitriy Panfilyonok/report/related.tex @@ -0,0 +1,49 @@ +\label{sec:relatedworks} +\paragraph{} +В таблице~\ref{tab:libs_comparison} представлено сравнение текущих реализаций спецификации GraphBLAS, а также некоторых других популярных библиотек для анализа графов на GPU, основанных на иных подходах к построению алгоритмов. + +Одним из критериев оценки существующих решений стало наличие возможности использования графических процессоров видеокарты в качестве платформы для исполнения вычислений. Такая возможность может существенно повысить производительность решений, основанных на линейной алгебре, так как операции с разреженными матрицами поддаются массовому параллелизму~\cite{blast}. Однако реализация GraphBLAS на GPU является открытой проблемой --- как показано в таблице~\ref{tab:libs_comparison}, на данный момент нет решений, которые бы полностью поддерживали вычисления на графическом процессоре. Это связано, в том числе с тем, что библиотеки, использующее для этого языки C и С++, сталкиваются с рядом проблем при попытке реализовать обобщенные операции на GPU. Кроме того, все существующие решения, которые разрабатываются для исполнения на GPU, используют программно-аппаратную архитектуру CUDA. Это оз\-на\-ча\-ет, что они могут исполняться только на графических устройствах от NVIDIA, что негативно сказывается на переносимости таких библиотек. Решение, описываемое в данной работе, предлагает использовать открытую платформу OpenCL, которая позволяет осуществлять вычисления на любом устройстве с поддержкой данного стандарта, будь то GPU, CPU или FPGA. Такой подход не только позволит использовать всю вычислительную силу современных графических систем, но и облегчит разработку и тестирование алгоритмов широкому кругу исследовательских групп и независимых разработчиков. + +Другим критерием оценки существующих библиотек стал язык программирования, на котором она написаны. Как показано в таблице~\ref{tab:libs_comparison}, на текущий момент большинство реализаций написаны для языков C и C++. В то же время использование языков более высокого уровня имеет свои преимущества. Среди них можно выделить возможность дополнительных проверок во время компиляции, богатую экосистему некоторых платформ, абстрактную систему типов, благодаря которой можно более полно описывать абстракции линейной алгебры. Для функциональных языков программирования могут быть доступны некоторые техники суперкомпиляции и оптимизации, например kernel fusion\cite{fusion} и deforestation\cite{deforset}. + +\begin{table} + % \centering + \begin{minipage}{\linewidth} + \begin{tabular}{l|l|l} + Реализация & Язык & Поддержка GPU \\ + \hline \hline + SuiteSparse~\cite{suitesparse} & C & Нет (поддержка CUDA в разработке) \\ + IBM GraphBLAS\footnote{Репозиторий библиотеки IBM GraphBLAS: \url{https://github.com/IBM/ibmgraphblas}. Дата посещения: 13.12.2020} & C & Нет \\ + GBTL~\cite{gbtl} & C++ & Нет (версия с CUDA устарела) \\ + GraphBLAST~\cite{blast} & C++ & CUDA (в разработке) \\ + CombBLAS~\cite{combblas} & C++ & Частичная, CUDA \\ + Graphulo\footnote{Репозиторий библиотеки Graphulo: \url{https://github.com/Accla/graphulo}. Дата посещения: 13.12.2020} & Java & Нет \\ + GraphMat\footnote{Репозиторий библиотеки GraphMat: \url{https://github.com/narayanan2004/GraphMat}. Дата посещения: 13.12.2020} & С++ & Нет \\ + \hline + Gunrock~\cite{gunrock} & C++ & CUDA \\ + CuSha\footnote{Репозиторий библиотеки CuSha: \url{https://github.com/farkhor/CuSha}. Дата посещения: 13.12.2020} & C++ & CUDA \\ + \hline + \end{tabular} + \end{minipage} + \caption{Сравнение текущих реализаций GraphBLAS (верхний сегмент) и некоторых популярных библиотек для анализа графов на GPU, основанных на иных подходах к построению алгоритмов (нижний сегмент).} + \label{tab:libs_comparison} +\end{table} + +В таблице~\ref{tab:opencl_comparison} приведены инструменты для работы с OpenCL на платформах .NET и Java. Эти платформы достаточно популярны, чтобы предлагаемое решение было более востребовано. Библиотеки \\ OpenCL.NET, Cloo, JavaCL и JOCL предоставляют высокоуровневый интерфейс для работы с ядрами, написанными на C. Эти библиотеки не позволяют естественным образом работать со сложными типами высокоуровневого языка, поэтому не подходят для данной работы. Среди оставшихся инструментов была выбрана библиотека Brahma.FSharp для языка программирования F\#. На данный момент она активную разрабатывается на кафедре системного программирования СПбГУ, поэтому в случае возникновения ошибок можно ожидать их своевременного исправления. + +\begin{table} + % \centering + \begin{minipage}{\linewidth} + \begin{tabularx}{\textwidth}{X|X} + .NET & Java \\ + \hline + OpenCL.NET\footnote{Репозиторий библиотеки OpenCL.NET: \url{https://github.com/dgsantana/OpenCL.NET}. Дата посещения: 01.06.2021} & JavaCL\footnote{Репозиторий библиотеки JavaCL: \url{https://github.com/nativelibs4java/JavaCL}. Дата посещения: 01.06.2021} \\ + Cloo\footnote{Репозиторий библиотеки Cloo: \url{https://github.com/clSharp/Cloo}. Дата посещения: 01.06.2021} & JOCL\footnote{Репозиторий библиотеки JOCL: \url{https://github.com/gpu/JOCL}. Дата посещения: 01.06.2021} \\ + FSCL\footnote{Репозиторий библиотеки FSCL: \url{https://github.com/FSCL/FSCL.Compiler}. Дата посещения: 01.06.2021} & Aparapi\footnote{Репозиторий библиотеки Aparapi: \url{https://github.com/aparapi/aparapi}. Дата посещения: 01.06.2021} \\ + Brahma.FSharp\footnote{Репозиторий библиотеки Brahma.FSharp: \url{https://github.com/YaccConstructor/Brahma.FSharp}. Дата посещения: 01.06.2021} & ScalaCL\footnote{Репозиторий библиотеки ScalaCL: \url{https://github.com/nativelibs4java/ScalaCL}. Дата посещения: 01.06.2021} \\ + \hline + \end{tabularx} + \end{minipage} + \caption{Инструменты для работы с OpenCL на платформах .NET и Java} + \label{tab:opencl_comparison} +\end{table} diff --git a/2021/diploma/Dmitriy Panfilyonok/report/results.tex b/2021/diploma/Dmitriy Panfilyonok/report/results.tex new file mode 100644 index 000000000..b4dc21cbe --- /dev/null +++ b/2021/diploma/Dmitriy Panfilyonok/report/results.tex @@ -0,0 +1,65 @@ +\subsection{Эксперименты} +\paragraph{} +Для апробации предлагаемого решения был реализован алгоритм поиска в ширину из единственной вершины. Предлагаемая реализация сравнивалась с другой библиотекой для анализа графов на платформе .NET --- QuickGraph\footnote{Репозиторий библиотеки QuickGraph: \url{https://github.com/YaccConstructor/QuickGraph}. Дата посещения: 01.06.2021}. Набор данных состоит из 4 квадратных матриц, взятых из коллекции матриц SuiteSparse Matrix Collection\cite{matcol}. Характеристики каждой матрицы представлены в таблице~\ref{tab:dataset}. Сравнение поводилось с помощью библиотеки BenchmarkDotNet\footnote{Репозиторий библиотеки BenchmarkDotNet \url{https://github.com/dotnet/BenchmarkDotNet}. Дата посещения: 01.06.2021} на ПК с операционной системой Windows 10 в конфигурации Intel Core i5-4690K CPU 3.50GHz, DDR3 8GB RAM, GeForce GTX 970, 4GB VRAM. Для каждой матрицы алгоритм запускался от 20 до 100 раз из случайной вершины. Перед запуском матрица была загружена в видеопамять, поэтому затраты на копирование матрицы не учитывались. Подобный принцип проведения экспериментов используется в эталонном решении для измерения производительности алгоритмов на графах GAP Benchmark Suite\cite{gap}. +В таблицах~\ref{tab:bfs-gb} и~\ref{tab:bfs-qg} представлены результаты сравнения. + +\begin{table}[h] + \begin{tabularx}{\textwidth}{|X|X|X|} + \hline + Название матрицы & Число строк/столбцов, $|V|$ & Число ненулевых элементов, $|E|$\\ + \hline + arc130 & 130 & 1282 \\ + linux-call-graph & 324085 & 1208908\\ + webbase-1M & 1000005 & 3105536 \\ + cit-Patents & 3774768 & 16518948 \\ + \hline + \end{tabularx} + \caption{Параметры используемых графов} + \label{tab:dataset} +\end{table} + +\begin{table}[h] + \begin{tabularx}{\textwidth}{|X|X|X|X|} + \hline + Матрицы & Среднее, мс & Ошибка, мс & Медиана, мс \\ + \hline + arc130 & 346 & 9.9 & 347.9 \\ + linux-call-graph & 17453.4 & 5841.5 & 8765.3 \\ + webbase-1M & 17367.1 & 5978.9 & 9867.5 \\ + cit-Patents & 6345.4 & 2187.9 & 2888.4 \\ + \hline + \end{tabularx} + \caption{Оценка времени работы алгоритма в библиотеке GraphBLAS-sharp} + \label{tab:bfs-gb} +\end{table} + +\begin{table}[h] + \begin{tabularx}{\textwidth}{|X|X|X|X|} + \hline + Матрица & Среднее, мс & Ошибка, мс & Медиана, мс \\ + \hline + arc130 & 0.063 & 0.01 & 0.063 \\ + linux-call-graph & 8.5 & 0.7 & 9.6 \\ + webbase-1M & 23.6 & 2.5 & 18.7 \\ + cit-Patents & 137.6 & 2.6 & 136.6 \\ + \hline + \end{tabularx} + \caption{Оценка времени работы алгоритма в библиотеке QuickGraph} + \label{tab:bfs-qg} +\end{table} + +% Кроме того, была отдельна измерена операция умножения матрицы в CSR формате на разреженный вектор. Результаты представлены в таблице. + +Из результатов видно, что предлагаемое решение на несколько порядков проигрывает QuickGraph на небольших данных, но с ростом числа ненулевых элементов разница сокращается, хотя и остается очень большой. + +\subsection{Выводы} +\paragraph{} + +Низкая производительная предлагаемого решения может иметь нес\-коль\-ко причин. +\begin{itemize} + \item Во-первых, наличие больших накладных расходов на копирование данных между управляемой, неуправляемой и видеопамятью. + \item Во-вторых, компиляция кода ядер во время исполнения может занимать много времени. Возможно, имеет смысл кэшировать уже скомпилированные ядра. + \item В-третьих, отсутствие атомарных операций для произвольных типов данных не позволяет реализовывать некоторые алгоритмы, которые могут оказаться лучше аналогов. +\end{itemize} + +Кроме того, использование OpenCL из высокоуровневого языка с управляемой памятью затрудняет профилирование кода, что усложняет поиск факторов, ограничивающих производительность библиотеки. \ No newline at end of file diff --git a/2021/diploma/Dmitriy Panfilyonok/report/task.tex b/2021/diploma/Dmitriy Panfilyonok/report/task.tex new file mode 100644 index 000000000..521fa6d5c --- /dev/null +++ b/2021/diploma/Dmitriy Panfilyonok/report/task.tex @@ -0,0 +1,12 @@ +\label{sec:task} +\paragraph{} +Предметом данной работы является реализация высокоуровневой, производительной и переносимой библиотеки на основе стандарта \\ GraphBLAS с целью предоставить удобный инструмент анализа и обработки графов широкому кругу разработчиков и исследователей. +\paragraph{Задачи:} +\begin{enumerate} + \item Реализовать пользовательский интерфейс, +соответствующих спецификации GraphBLAS. + \item Реализовать базовые примитивы линейной алгебры для выполнения на графических процессорах общего назначения. + \item Провести экспериментальное исследование предложенной +реализации и сравнить её с аналогичными решениями в +предметной области. +\end{enumerate} \ No newline at end of file diff --git a/2021/diploma/Dmitriy Panfilyonok/report/title.tex b/2021/diploma/Dmitriy Panfilyonok/report/title.tex new file mode 100644 index 000000000..df1c5ed7b --- /dev/null +++ b/2021/diploma/Dmitriy Panfilyonok/report/title.tex @@ -0,0 +1,9 @@ +\filltitle{ru}{ + chair = {Кафедра системного программирования}, + group = {18.Б10-мм}, + title = {Высокоуровневая реализация спецификации GraphBLAS с поддержкой исполнения на GPU}, + type = {practice}, + author = {Панфилёнок Дмитрий Викторович}, + supervisorPosition = {к.\,ф.-м.\,н., доцент кафедры информатики}, + supervisor = {Григорьев С.\,В.}, +} \ No newline at end of file