diff --git a/beamerthemeSCITAS.sty b/beamerthemeSCITAS.sty new file mode 100644 index 0000000..1e88e3e --- /dev/null +++ b/beamerthemeSCITAS.sty @@ -0,0 +1,164 @@ +\ProvidesPackage{beamerthemeSCITAS}[] + +\usepackage[utf8]{inputenc} +\usepackage[english]{babel} +\usepackage{tikz} +\usepackage{xifthen} + +% ------------------------------------------------------------------------------ +% Theme definitions +% ------------------------------------------------------------------------------ +% Set backgrounds +\setbeamertemplate{background}{% + \ifnum\c@framenumber=0%First slide + \includegraphics[width=\paperwidth,height=\paperheight]{images/scitas-bg-1.pdf} + \else%Other slides + \includegraphics[width=\paperwidth,height=\paperheight]{images/scitas-bg.pdf} + \fi% +} + +\setbeamertemplate{frametitle}[default][center]%center titles + +\setbeamertemplate{footline}{ + \leavevmode% + \hbox{% + \ifnum\c@framenumber>0%First slide + \begin{beamercolorbox}[wd=\paperwidth,ht=0ex,dp=2ex,center]{page number in head/foot}% + \usebeamerfont{page number in head/foot} + \insertframenumber{} / \inserttotalframenumber + \end{beamercolorbox} + \fi}\vskip0pt% +} + + +\let\otp\titlepage +\renewcommand{\titlepage}{\otp\addtocounter{framenumber}{-1}} + +% Set some specific colors +\setbeamercolor {structure}{fg=red} +\setbeamercolor*{titlelike}{fg=black} + +\setbeamertemplate{navigation symbols}{} % remove navigation symbols + +\setbeamercolor{block body}{bg=normal text.bg!90!black} +\setbeamercolor{block title}{fg=white,bg=red} + +\useinnertheme{rounded} + +% ------------------------------------------------------------------------------ +% Color definitions +% ------------------------------------------------------------------------------ +\usepackage{color} + +\definecolor{colKeys}{rgb}{0,0,1} +\definecolor{colIdentifier}{rgb}{0,0,0} +\definecolor{colComments}{rgb}{0,.5,0} +\definecolor{colString}{rgb}{1,0,0} +\definecolor{colCppBg}{HTML}{F5EDE4} +\definecolor{colShellBg}{HTML}{F5EDE4} + +% ------------------------------------------------------------------------------ +% Listing definitions +% ------------------------------------------------------------------------------ +\usepackage{listings} + +\lstdefinestyle{lstDefaultStyle} { + backgroundcolor=\color{colCppBg}, + frame=tb, + framexleftmargin=2pt, + framextopmargin=0pt, + framexbottommargin=0pt, + framerule=0pt, + xleftmargin=.5cm, + xrightmargin=.5cm, + showstringspaces=false, % underline spaces within strings + tabsize=4, % sets default tabsize to 2 spaces + captionpos=b, % sets the caption-position to bottom + columns=flexible, + keepspaces=true, + mathescape=false, + escapechar=\%, + breaklines=true, % sets automatic line breaking + breakatwhitespace=false, % sets if automatic breaks should only happen at +} + +% Create a new list style for C++ +\lstdefinestyle{myC++}{ + language=C++, % the language of the code + style=lstDefaultStyle, + basicstyle=\small\ttfamily, % Without beramono, we'd get cmtt, the teletype font. + commentstyle=\color{colComments}\itshape, + keywordstyle=\color{DarkOrchid}\bfseries, + morekeywords={Real, UInt, Int} +} + +% Create new list style for cmake files +\lstdefinelanguage{cmake}{ + morekeywords={project, cmake\_minimum\_required, enable\_language, message, + add\_executable, add\_library, target\_link\_libraries, include\_directories, + find\_package, find\_path, find\_library, include, mark\_as\_advanced, + find\_package\_handle\_standard\_args}, + morecomment=[l]{\#}, + sensitive=false, + morestring=[b]'', +} + +\lstdefinestyle{mycmake}{ + language=cmake, % the language of the code + style=lstDefaultStyle, + basicstyle=\ttfamily, % Without beramono, we'd get cmtt, the teletype font. + commentstyle=\color{colComments}\itshape, + keywordstyle=\color{RoyalBlue}\bfseries, + stringstyle=\color{colString}, % + mathescape=false +} + +% Create new list style for cmake files +\lstdefinestyle{mymake}{ + language=make, % the language of the code + style=lstDefaultStyle, + basicstyle=\ttfamily, % Without beramono, we'd get cmtt, the teletype font. + commentstyle=\color{colComments}\itshape, + keywordstyle=\color{RoyalBlue}\bfseries, + stringstyle=\color{colString}, % + mathescape=false +} + +% Create new list style for the shell +\lstdefinestyle{myshell}{ + backgroundcolor=\color{colShellBg}, + language=bash, % the language of the code + style=lstDefaultStyle, + basicstyle=\scriptsize\ttfamily, % Without beramono, we'd get cmtt, the teletype font. + morekeywords={mkdir, make, ccmake, cmake}, +} + + +\lstdefinestyle{mypython}{ + language=Python, + basicstyle=\ttfamily, % + style=lstDefaultStyle, + identifierstyle=\color{colIdentifier}, % + keywordstyle=\color{colKeys}, % + stringstyle=\color{colString}, % + commentstyle=\color{colComments}, % + frame=single, % + extendedchars=true, % + showtabs=true, + numbers=left, % + numberstyle=\tiny, % + breakautoindent=true % +} + +% Set some derived listing environments +\lstnewenvironment{python}{\lstset{style=mypython}}{} +\lstnewenvironment{cpp}{\lstset{style=myC++}}{} +\lstnewenvironment{command}{\lstset{style=myshell}}{} +\lstnewenvironment{cmake}{\lstset{style=mycmake}}{} + +\newcommand{\includecode}[2][c]{\lstinputlisting[style=my#1]{#2}} + +\newcommand{\mybox}[2][fill=colShellBg]{% + \tikz[baseline=-0.5ex] \node at (0,0) [#1,draw,inner sep=2pt]{#2};} + +\newcommand{\code}[1]{\mybox{\texttt{#1}}} diff --git a/document.log b/document.log new file mode 100644 index 0000000..e69de29 diff --git a/document.tex b/document.tex new file mode 100644 index 0000000..fc4b798 --- /dev/null +++ b/document.tex @@ -0,0 +1,467 @@ + +\begin{frame} + + \titlepage + \centering + +\end{frame} + + +%--------------------- + + +\begin{frame}{Welcome} + \begin{block}{What you will learn} +How to compile and launch MPI codes on the SCITAS clusters + \end{block} +\vspace{1cm} + \begin{block}{What you will not learn} +How to write parallel code and optimise it - there are other couses for that! + \end{block} + +\end{frame} + + +%--------------------- + + +\begin{frame}{Compilation} + + \begin{block}{From code to binary} +Compilation is the process by which code (C, C++, Fortran etc) is transformed into a binary that can be run on a CPU. + \end{block} + + \begin{block}{CPUs are not all the same} + \begin{itemize} + \item CPUs have different features and instruction sets + \item The same code will need to be recompiled for different architectures + \end{itemize} + \end{block} + + +\end{frame} + +%--------------------- + +\begin{frame}{What is MPI?} + + \begin{block}{What is MPI?} + \begin{itemize} + \item Message Passing Interface + \item De facto standard for distributed memory parallelisation + \item Open standard with multiple implementations - now at version 3.0 + \item Scales to very large systems + \end{itemize} + \end{block} + + \begin{block}{Shared vs Distributed Memory} + \begin{itemize} + \item Shared - all tasks see all the memory + \item Distributed - tasks only see a small part of the overall memory + \end{itemize} + Clusters are distributed memory systems so MPI is well suited. + \end{block} + + +\end{frame} + + +%--------------------- + + +\begin{frame}{MPI Terminology} + + \begin{block}{Words that you are going to hear} + \begin{itemize} + \item Rank - how MPI tasks are organised + \item Rank 0 - the initial "parent" task + \item Rank 1 to N - the "worker" tasks + \item Collective - a type of communication in which all the ranks participate + \end{itemize} + + \end{block} + + +\end{frame} + + +%--------------------- + +\begin{frame}{Compilers - Intel vs GCC} + + \begin{block}{GNU Compiler Collection} + \begin{itemize} + \item The industry standard and available everywhere + \item Quick to support new C++ language features + \item Fortran support used to be poor + \end{itemize} + \end{block} + + \begin{block}{Intel Composer} + \begin{itemize} + \item Claims to produce faster code on Intel CPUs + \item Better Fortran support + \end{itemize} + \end{block} + +\end{frame} + +%--------------------- + +\begin{frame}{MPI - Intel vs MVAPICH2 vs OpenMPI} + + \begin{block}{Why are there different flavours?} +There are multiple MPI flavours that comply with the specification and each claims to have some advantage over the other. Some are vendor specific and others are open source + \end{block} + +\begin{block}{The main contenders} + \begin{itemize} + \item Intel MPI - commercial MPI with support + \item MVAPICH2 - developed by Ohio uni for Infiniband + \item OpenMPI - Open source and widely used + \end{itemize} +In SCITAS we support IntelMPI and MVAPICH2 +\end{block} + +\end{frame} + + +%--------------------- + +\begin{frame}{Compiler and MPI choice} +\begin{block}{First choose your compiler} + \begin{itemize} + \item GCC or Intel + \item This might be a technical or philosophical choice + \end{itemize} +\end{block} + +\begin{block}{The associated MPI is then} + \begin{itemize} + \item GCC with MVAPICH2 + \item Intel with IntelMPI + \end{itemize} +This is a SCITAS restriction to prevent chaos - nothing technically stops one from mixing!\\ +\vspace{2mm} +Both work well and have good performance. +\end{block} + + +\end{frame} + + +%--------------------- + +%\begin{frame}{Linear Algebra Libraries} +% +% +%\end{frame} + + +%--------------------- + +\begin{frame}{The dark art of mangling} + +\begin{block}{Mangling?} +Mechanism to allow multiple functions with the same name +\end{block} + +\begin{block}{C/C++} + \begin{itemize} + \item GCC - + \item Intel - + \end{itemize} +C/C++ libraries are compatible between GCC and Intel +\end{block} + +\begin{block}{Fortran} + \begin{itemize} + \item GCC - + \item Intel - + \end{itemize} +Fortran libraries are not compatible between GCC and Intel! +\end{block} + +\end{frame} + + +%--------------------- + +\begin{frame}{Linking} + + +\end{frame} + + +%--------------------- + +\begin{frame}{Example 1} + + +\end{frame} + + +%--------------------- + +\begin{frame}{Modules} + +\begin{block}{How software is organised on the clusters} +Modules is a way of allowing multiple, often incompatible, tools and libraries to exist on a cluster. +\end{block} + +\begin{block}{Naming convention} + \begin{itemize} + \item name / version / compiler + \item hdf5/1.8.14/gcc-4.4.7 + \item The MPI flavour is implicit! + \end{itemize} +Note - compilers are backwards compatible so there is no need to have hdf5/1.8.14/gcc-4.8.3! + +\end{block} + + +\end{frame} + + +%--------------------- + +\begin{frame}{More Modules} + +\begin{block}{Commands} + \begin{itemize} + \item module purge + \item module load gcc/4.8.3 + \item module load mvapich2/2.0.1/gcc-4.4.7 + \item module load hdf5/1.8.14/gcc-4.4.7 + \item module list + \item module show gcc/4.8.3 + \end{itemize} +\end{block} +\end{frame} + + +%--------------------- + +\begin{frame}{MPICC and friends} + +\begin{block}{mpicc / mpicxx / mpif77 / mpif90} +These are wrappers to the underlying compiler that add the correct options to link with the MPI libraries + \begin{itemize} + \item mpicc - C wrapper + \item mpiicc - Intel C wrapper + \end{itemize} +Check the MPI flavour documentation for more details +\end{block} + +\begin{block}{mpicc mycode.c } +To use the wrappers simply type: + \begin{itemize} + \item mpicc hello.c -o hi + \end{itemize} +\end{block} + +\end{frame} + + +%--------------------- + +\begin{frame}{Exercise 2} + + +\end{frame} + + +%--------------------- + +\begin{frame}{Configure and Make} + + +\end{frame} + + +%--------------------- +\begin{frame}{MPI and the Batch System} + +\begin{block}{Telling SLURM what we need} +We would like 64 processes over 4 nodes\\ +\vspace{2mm} +\texttt{\#SBATCH --nodes 4}\\ +\texttt{\#SBATCH --ntasks-per-node 16}\\ +\texttt{\#SBATCH --cpus-per-task 1}\\ +\texttt{\#SBATCH --mem 32000}\\ +\vspace{2mm} +Remember that the memory is per node! +\end{block} + +\end{frame} + + +%--------------------- + +\begin{frame}{srun and mpirun} + +\begin{block}{Launching a MPI job} +Now that we have a MPI code we need some way of correctly launching it across multiple nodes + \begin{itemize} + \item \texttt{srun} - SLURM's built in job launcher + \item \texttt{mpirun} - "traditional" job launcher + \end{itemize} +To use this we type\\ +\vspace{2mm} +\texttt{srun mycode.x}\\ +\vspace{2mm} +With the directives on the previous slide this will launch 64 processes on 4 nodes +\end{block} + + +\end{frame} + + +%--------------------- + +\begin{frame}{CPU affinity} + + +\begin{block}{Kesako?} +CPU affinity is the name for the mechanism by which a process is bound to a specific CPU (core) or a set of cores. +\end{block} + +\begin{block}{Pourquoi?} +If a mask is not set the OS might place the task on different cores every 100ms or so. Depending on the cache structure this can be a very bad thing to do.\\ +\vspace{2mm} +We can also optimise placement of ranks with respect to the underlying hardware. +\end{block} + + + +\end{frame} + + +%--------------------- + +\begin{frame}{CPU bitmasks} + +\begin{block}{11000000} +When talking about affinity we use the term "mask" or "bit mask" which is a convenient way of representing which cores are part of a CPU set.\newline If we have an 8 core system then the following masks mean: + \begin{itemize} + \item \texttt{10000000} - core 8 + \item \texttt{01000000} - core 7 + \item \texttt{00100000} - core 6 + \item \texttt{11110000} - cores 5 to 8 + \item \texttt{00001111} - cores 1 to 4 + \end{itemize} +\end{block} + + + + +\end{frame} + +%--------------------- + +\begin{frame}{CPU bitmasks} + + +\begin{block}{11110000 is f0} +These numbers can be conveniently written in hexadecimal so if we query the system regarding CPU masks we will see something like:\\ +\vspace{5mm} +pid 8092's current affinity mask: 1c0\\ +pid 8097's current affinity mask: 1c0000\\ +\vspace{5mm} +In binary this would translate to\\ +\vspace{5mm} +pid 8092's current affinity mask: \texttt{000000000000000111000000}\\ +pid 8097's current affinity mask: \texttt{000111000000000000000000}\\ +\end{block} + +\end{frame} + +%--------------------- + +\begin{frame}{Binding with srun} + +\begin{block}{Examples} +\texttt{srun -N 1 -n 4 -c 1 --cpu\_bind=verbose rank ./hi 1}\\ +%srun -N 1 -n 4 -c 1 --cpu_bind=verbose,rank ./hi 1\\ +\texttt{cpu\_bind=RANK - b370, task 0 : mask 0x1 set}\\ +\texttt{cpu\_bind=RANK - b370, task 1 : mask 0x2 set}\\ +\texttt{cpu\_bind=RANK - b370, task 2 : mask 0x4 set}\\ +\texttt{cpu\_bind=RANK - b370, task 3 : mask 0x8 set}\\ +\vspace{5mm} +\texttt{srun -N 1 -n 4 -c 4 --cpu\_bind=verbose,sockets ./hi 1}\\ +\texttt{cpu\_bind=MASK - b370, task 1 : mask 0xff00 set}\\ +\texttt{cpu\_bind=MASK - b370, task 2 : mask 0xff set}\\ +\texttt{cpu\_bind=MASK - b370, task 0 : mask 0xff set}\\ +\texttt{cpu\_bind=MASK - b370, task 3 : mask 0xff00 set} +\end{block} + +\end{frame} + + +%--------------------- + +\begin{frame}{Process view} + + +\end{frame} + + +%--------------------- + +\begin{frame}{Common errors} + + + +\end{frame} + + +%--------------------- + +\begin{frame}{If things don't work} +\begin{block}{Try interactively} +\texttt{salloc -N 2 -n 32 --partition debug}\\ +\texttt{srun mycode.x < inp.in}\\ + +\end{block} + +\begin{block}{Check what's going on with htop and ps} +\texttt{ssh b123}\\ +\texttt{htop}\\ +\texttt{ps auxf}\\ +\end{block} + +\end{frame} + + +%--------------------- + +\begin{frame}{It things still don't work} + + +\end{frame} + + +%--------------------- + +\begin{frame}{Going further} + + +\end{frame} + + +%--------------------- + +\begin{frame}{Exercise 1 - Octopus} + + +\end{frame} + +%--------------------- + +\begin{frame}{Exercise 2 - LAMMPS} + + +\end{frame} + +%--------------------- + diff --git a/exercise_sheet.tex b/exercise_sheet.tex new file mode 100644 index 0000000..e69de29 diff --git a/images/scitas-bg-1.pdf b/images/scitas-bg-1.pdf new file mode 100644 index 0000000..a837e27 Binary files /dev/null and b/images/scitas-bg-1.pdf differ diff --git a/images/scitas-bg.pdf b/images/scitas-bg.pdf new file mode 100644 index 0000000..e011c4b Binary files /dev/null and b/images/scitas-bg.pdf differ diff --git a/onimage.sty b/onimage.sty new file mode 100644 index 0000000..9d7a86b --- /dev/null +++ b/onimage.sty @@ -0,0 +1,132 @@ +%% +%% This is file `onimage.sty', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% onimage.dtx (with options: `onimage') +%% Copyright (C) 2011 by Clemens Koppensteiner +%% ------------------------------------------- +%% +%% This file may be distributed and/or modified under the +%% conditions of the LaTeX Project Public License, either version 1.3 +%% of this license or (at +%% your option) any later version. +%% The latest version of this license is in: +%% +%% http://www.latex-project.org/lppl.txt +%% +%% and version 1.3 or later is part of all distributions of LaTeX +%% version 2005/12/01 or later. +\NeedsTeXFormat{LaTeX2e}[1999/12/01] +\ProvidesPackage{onimage} + [2011/07/05 v0.3 Drawing on images in TikZ] +\RequirePackage{tikz} +\RequirePackage{xstring} + +\newif\iftsx@scalecs@x +\newif\iftsx@scalecs@y +\tikzset{ + tsx/scale cs/.is choice, + tsx/scale cs/x/.code={\tsx@scalecs@xtrue\tsx@scalecs@yfalse}, + tsx/scale cs/y/.code={\tsx@scalecs@xfalse\tsx@scalecs@ytrue}, + tsx/scale cs/both/.code={\tsx@scalecs@xtrue\tsx@scalecs@ytrue}, + tsx/scale cs/none/.code={\tsx@scalecs@xfalse\tsx@scalecs@yfalse}, + tsx/scale cs=both +} + +\tikzset{ + tsx/show help lines/.initial=0, + tsx/show help lines/.default=10 +} +\def\tikzonnode#1{% + \pgfutil@ifnextchar[{\tikzonnode@opt#1}{\tikzonnode@opt#1[]}% +} +\def\tikzonnode@opt#1[#2]{% + \pgfpointanchor{#1}{south west}% + \pgfgetlastxy\tse@tikz@shift@x\tse@tikz@shift@y + \begin{scope}[ + shift={(\tse@tikz@shift@x,\tse@tikz@shift@y)}, + #2]% + \iftsx@scalecs@x + \tikzset{x={(#1.south east)}} + \iftsx@scalecs@y\else + \pgf@yx=\pgf@xy + \pgf@yy=\pgf@xx + \fi + \fi + \iftsx@scalecs@y + \tikzset{y={(#1.north west)}} + \iftsx@scalecs@x\else + \pgf@xx=\pgf@yy + \pgf@xy=\pgf@yx + \fi + \fi + \begingroup + \pgfkeys{/pgf/number format/.cd,fixed,precision=2} + \tikzset{tsx/show help lines/.get=\tsx@helplines} + \IfInteger\tsx@helplines{ + \ifnum\tsx@helplines>1 + \pgfmathsetmacro\tsx@stepsize{1/\tsx@helplines} + \draw[help lines,xstep=\tsx@stepsize,ystep=\tsx@stepsize] (0,0) grid (1,1); + \pgfmathsetmacro\tsx@numlines{\tsx@helplines - 1} + \foreach \i in {1,...,\tsx@numlines} { + \pgfmathsetmacro\tsx@step{\i*\tsx@stepsize} + \node [help lines, anchor=west,rotate=-90] at (\tsx@step,0) {\pgfmathprintnumber{\tsx@step}}; + \node [help lines, anchor=east] at (0,\tsx@step) {\pgfmathprintnumber{\tsx@step}}; + } + \fi + }{ + \let\tsx@stepsize\tsx@helplines + + \pgfpointanchor{#1}{south west} + \pgfgetlastxy\tsx@sw@x\tsx@sw@y + \pgfpointanchor{#1}{north east} + \pgfgetlastxy\tsx@ne@x\tsx@ne@y + \pgfmathsetmacro\tsx@width{\tsx@ne@x-\tsx@sw@x} + \pgfmathsetmacro\tsx@height{\tsx@ne@y-\tsx@sw@y} + + \IfDecimal{\tsx@stepsize}{ + \let\tsx@stepsize@multx=\pgf@xx + \let\tsx@stepsize@multy=\pgf@yy + }{ + \def\tsx@stepsize@multx{1} + \def\tsx@stepsize@multy{1} + } + \pgfmathsetmacro\tsx@numlinesx{floor(\tsx@width/(\tsx@stepsize*\tsx@stepsize@multx))} + \pgfmathsetmacro\tsx@numlinesy{floor(\tsx@height/(\tsx@stepsize*\tsx@stepsize@multy))} + + \ifdim\tsx@numlinesx pt>0pt + \ifdim\tsx@numlinesy pt>0pt + \draw[help lines,xstep=\tsx@stepsize,ystep=\tsx@stepsize] (0,0) grid (\tsx@width pt,\tsx@height pt); + \foreach \x in {1,...,\tsx@numlinesx} { + \pgfmathsetmacro\tsx@step{\x*\tsx@stepsize*\tsx@stepsize@multx} + \node [help lines, anchor=west,rotate=-90] at (\tsx@step pt,0) {\x}; + } + \foreach \y in {1,...,\tsx@numlinesy} { + \pgfmathsetmacro\tsx@step{\y*\tsx@stepsize*\tsx@stepsize@multy} + \node [help lines, anchor=east] at (0,\tsx@step pt) {\y}; + } + \fi + \fi + } + \endgroup +} +\def\endtikzonnode{% + \end{scope}% +} +\def\tikzonimage{% + \pgfutil@ifnextchar[{\tikzonimage@opt}{\tikzonimage@opt[]}% +} +\def\tikzonimage@opt[#1]#2{% + \begin{tikzpicture} + \node[inner sep=0] (image) {\includegraphics[#1]{#2}}; + \begin{tikzonnode}{image}% +} +\def\endtikzonimage{% + \end{tikzonnode} + \end{tikzpicture}% +} +\endinput +%% +%% End of file `onimage.sty'. diff --git a/slides.aux b/slides.aux new file mode 100644 index 0000000..e23528f --- /dev/null +++ b/slides.aux @@ -0,0 +1,87 @@ +\relax +\providecommand\hyper@newdestlabel[2]{} +\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} +\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined +\global\let\oldcontentsline\contentsline +\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} +\global\let\oldnewlabel\newlabel 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+\usetikzlibrary{decorations.text} + +\hypersetup{ + pdftitle={Compiling code and using MPI}, + pdfauthor={http://scitas.epfl.ch}, + colorlinks=true, + urlcolor=blue +} + +\tikzset{ + invisible/.style={opacity=0}, + visible on/.style={alt={#1{}{invisible}}}, + alt/.code args={<#1>#2#3}{% + \alt<#1>{\pgfkeysalso{#2}}{\pgfkeysalso{#3}} % \pgfkeysalso doesn't change the path + }, +} + +\title{Compiling code and using MPI} +\author{\url{scitas.epfl.ch}} +\date{\today} + +\usepackage{upquote} + +\newcommand{\distroitem}[3]{% + \item[]\vspace*{-1ex}\hspace*{-.3cm}\tikz[baseline]{% + \node[anchor=base,text width=3ex, text centered]% + (#2) at (0,-.1cm)% + {\includegraphics[height=3ex, clip=true,trim=0 #1 0 0]{images/#2}};} #3} + +\newcounter{exercise} +\resetcounteronoverlays{exercise} +\setcounter{exercise}{0} +\newenvironment{exo}[1]% + {\begin{frame}[fragile,environment=exo]% + \refstepcounter{exercise} + \frametitle{Exercise~\arabic{exercise}: #1}} + {\end{frame}} + + 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