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changeset 1:f81ebd8d3b85

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holistic model general description
author Nina Engelhardt <nengel@mailbox.tu-berlin.de>
date Wed, 14 Mar 2012 12:02:39 +0100
parents 81c3737cd23b
children 0e7f13778aea
files 0__Papers/holistic.bib 0__Papers/holistic_model/Figs_for_Nina/Animating_a_processor.svg 0__Papers/holistic_model/Figs_for_Nina/App_processor_hier_w_animators.svg 0__Papers/holistic_model/Figs_for_Nina/Application_processor_hierarchy.svg 0__Papers/holistic_model/Figs_for_Nina/Application_processor_hierarchy_in_plane.svg 0__Papers/holistic_model/Figs_for_Nina/Grid_hierarchy.svg 0__Papers/holistic_model/Figs_for_Nina/Grid_hierarchy_w_divider_etc.svg 0__Papers/holistic_model/Figs_for_Nina/Grid_hierarchy_w_mem_type.svg 0__Papers/holistic_model/Figs_for_Nina/Grid_hierarchy_w_runtimes.svg 0__Papers/holistic_model/Figs_for_Nina/How_use_VMS.svg 0__Papers/holistic_model/Figs_for_Nina/IterTimeVsThinkTime.svg 0__Papers/holistic_model/Figs_for_Nina/Logical_view_of_system.svg 0__Papers/holistic_model/Figs_for_Nina/Logical_view_of_system_2.svg 0__Papers/holistic_model/Figs_for_Nina/Logical_view_of_system_3.svg 0__Papers/holistic_model/Figs_for_Nina/Loop.svg 0__Papers/holistic_model/Figs_for_Nina/LoopG_to_Processors_to_UCC.svg 0__Papers/holistic_model/Figs_for_Nina/LoopG_to_Processors_to_UCC_w_timelines.svg 0__Papers/holistic_model/Figs_for_Nina/LoopG_to_Processors_to_UCC_w_timelines_2.svg 0__Papers/holistic_model/Figs_for_Nina/LoopG_to_Processors_to_UCC_w_timelines_3.svg 0__Papers/holistic_model/Figs_for_Nina/LoopGraph_seq.svg 0__Papers/holistic_model/Figs_for_Nina/LoopGraph_w_dep_graph.svg 0__Papers/holistic_model/Figs_for_Nina/Portability_eco-system.svg 0__Papers/holistic_model/Figs_for_Nina/Portability_eco-system_middle_layer.svg 0__Papers/holistic_model/Figs_for_Nina/Portability_software_stack.svg 0__Papers/holistic_model/Figs_for_Nina/Portability_software_stack_w_BLISS.svg 0__Papers/holistic_model/Figs_for_Nina/Runtime_Hierarchy_on_Grid_machine.svg 0__Papers/holistic_model/Figs_for_Nina/Scheduling_Loop.svg 0__Papers/holistic_model/Figs_for_Nina/Scheduling_states_2.svg 0__Papers/holistic_model/Figs_for_Nina/Sync_split_2_parts.svg 0__Papers/holistic_model/Figs_for_Nina/Time_in_VMS_1.svg 0__Papers/holistic_model/Figs_for_Nina/Time_in_VMS_2.svg 0__Papers/holistic_model/Figs_for_Nina/Time_layers.svg 0__Papers/holistic_model/Figs_for_Nina/UCC_and_circles.svg 0__Papers/holistic_model/Figs_for_Nina/UCC_and_processors.svg 0__Papers/holistic_model/Figs_for_Nina/UCC_hierarchy.svg 0__Papers/holistic_model/Figs_for_Nina/UCC_hierarchy_units_only.svg 0__Papers/holistic_model/Figs_for_Nina/UCC_hierarchy_vs_processors.svg 0__Papers/holistic_model/Figs_for_Nina/UCC_related_to_LoopG.svg 0__Papers/holistic_model/Figs_for_Nina/UCC_related_to_processor_hierarchy.svg 0__Papers/holistic_model/Figs_for_Nina/UCC_with_many_to_many.svg 0__Papers/holistic_model/Figs_for_Nina/VMS-core__internal_workings.svg 0__Papers/holistic_model/Figs_for_Nina/VMS-core__plugins.svg 0__Papers/holistic_model/Figs_for_Nina/multiple_cores.svg 0__Papers/holistic_model/Makefile 0__Papers/holistic_model/holistic_model.tex 0__Papers/holistic_model/holistic_model_detailed.tex
diffstat 46 files changed, 48820 insertions(+), 0 deletions(-) [+]
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     1.4 +@misc{countersdesign,
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  18.725 +         id="tspan6271">In the middle is an indication of how the original application-UCC collapses into this used-UCC.  Each processor-tree is a collapsed level of UCC that is inside one of the scheduled units (As shown, none of the functions</tspan><tspan
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  18.729 +         id="tspan6291">  invokes a VMS escape).  It shows that the processors in the trees are different for different tasks, because there is different code for each task-type.</tspan><tspan
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  18.733 +         id="tspan21228">On the right is the loop-graph, with scheduling decisions made according to the top level of UCC.  The Loop-graph has one node for each unit. The node accounts for the physical-processor time taken by the scheduling</tspan><tspan
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  18.741 +         id="tspan6302">  This implies that the &quot;St&quot; box accounts time the phys animator loses while notice of work completion travels to update the constraint-conditions (which in turn triggers the next round of checking constraint conditions).</tspan><tspan
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  18.745 +         id="tspan6283">On the bottom, the timeline shows how physical-processor time is broken up, and allocated to boxes in the Loop-graph.  Notice that the C language and SSR animator levels collapse down onto the physical animator level.</tspan><tspan
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    44.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
    44.2 +++ b/0__Papers/holistic_model/Makefile	Wed Mar 14 12:02:39 2012 +0100
    44.3 @@ -0,0 +1,24 @@
    44.4 +# Makefile 
    44.5 +
    44.6 +TOPFILE=holistic_model_detailed
    44.7 +
    44.8 +
    44.9 +all:: $(TOPFILE).pdf
   44.10 +
   44.11 +
   44.12 +%.pdf: %.tex 
   44.13 +	pdflatex $<
   44.14 +	#bibtex $(TOPFILE)
   44.15 +	pdflatex $<
   44.16 +	pdflatex $<
   44.17 +
   44.18 +
   44.19 +clean::
   44.20 +	rm -f $(TOPFILE).aux $(TOPFILE).log $(TOPFILE).out\
   44.21 + 		$(TOPFILE).bbl $(TOPFILE).blg *~
   44.22 +
   44.23 +
   44.24 +really-clean: clean
   44.25 +	rm -f $(TOPFILE).pdf $(TOPFILE)-2.pdf
   44.26 +
   44.27 +# Ende des Makefiles.

    45.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
    45.2 +++ b/0__Papers/holistic_model/holistic_model.tex	Wed Mar 14 12:02:39 2012 +0100
    45.3 @@ -0,0 +1,370 @@
    45.4 +\documentclass{beamer}
    45.5 +
    45.6 +\usetheme[incompatible]{BerlinAES}
    45.7 +
    45.8 +\usepackage[utf8]{inputenc}
    45.9 +%\usepackage[ngerman]{babel}
   45.10 +\usepackage{listings,fancyvrb}
   45.11 +\usepackage{graphicx}
   45.12 +
   45.13 +\setcounter{tocdepth}{4}
   45.14 +
   45.15 +\begin{document}
   45.16 +\title{The Holistic Model of Parallel Computation}
   45.17 +\author{Nina Engelhardt}
   45.18 +\date{\today}
   45.19 +\fachgebiet{AES}
   45.20 +
   45.21 +
   45.22 +\begin{frame}{~}
   45.23 +\maketitle
   45.24 +\end{frame}
   45.25 +
   45.26 +
   45.27 +\begin{frame}{Table of Contents}
   45.28 +\tableofcontents
   45.29 +\end{frame}
   45.30 +
   45.31 +\section{Introduction}
   45.32 +\begin{frame}{Introduction}
   45.33 +\begin{itemize}
   45.34 +\item Investigate interaction between Application, Hardware, and Scheduling
   45.35 +\item Created models that isolate these interactions:
   45.36 +\begin{itemize}
   45.37 +\item Processor representation of software
   45.38 +\item Animation of processors
   45.39 +\item Unit Constraint Collection
   45.40 +\item Loop Graph
   45.41 +\end{itemize}
   45.42 +\item Models are previewed in reverse order
   45.43 +\end{itemize}
   45.44 +\end{frame}
   45.45 +
   45.46 +\begin{frame}{Motivation: get Spectra}
   45.47 +\begin{minipage}[t]{0.33\linewidth}
   45.48 +\begin{figure}
   45.49 +\includegraphics[width=0.9\textwidth]{Figs_for_Nina/IterTimeVsThinkTime.pdf}
   45.50 +\end{figure}
   45.51 +\end{minipage}
   45.52 +\begin{minipage}[t]{0.65\linewidth}
   45.53 +Spectra
   45.54 +\begin{itemize}
   45.55 +\item Identifies important characteristics of App and Hardware for Scheduling
   45.56 +\item Shows effect of those characteristics
   45.57 +\item Given App-HW combo, tells best result (for a given metric)
   45.58 +\item Evaluate effectiveness of given scheduler strategy for specific App-HW combo
   45.59 +\end{itemize}
   45.60 +\end{minipage}
   45.61 +\end{frame}
   45.62 +
   45.63 +\begin{frame}{Spectra}
   45.64 +\begin{figure}
   45.65 +\includegraphics[width=0.7\textwidth]{Figs_for_Nina/IterTimeVsThinkTime.pdf}
   45.66 +\end{figure}
   45.67 +\end{frame}
   45.68 +
   45.69 +\begin{frame}{Preview}
   45.70 +\begin{itemize}
   45.71 +\item Spectra come from Loop Graph
   45.72 +\item Loop Graph relates software to hardware processors
   45.73 +\item Shape of Loop Graph is bounded by UCC
   45.74 +\item Understanding Loop Graph requires understanding Animation \& Processor representation of software
   45.75 +\end{itemize}
   45.76 +\end{frame}
   45.77 +
   45.78 +\AtBeginSection[]
   45.79 +{
   45.80 +   \begin{frame}
   45.81 +       \frametitle{Outline}
   45.82 +       \tableofcontents[currentsection]
   45.83 +   \end{frame}
   45.84 +}
   45.85 +
   45.86 +
   45.87 +\section{Background}
   45.88 +
   45.89 +\subsection{Processor representation of software}
   45.90 +
   45.91 +\begin{frame}{Processor representation of software}
   45.92 +\begin{itemize}
   45.93 +\item Represent application as a forest of processors
   45.94 +\item Ex: function call is creation of a processor
   45.95 +\item Behaviour of processor is specified by function body
   45.96 +\item Each loop in Loop Graph creates one SW processor and assigns a physical animator to it
   45.97 +\end{itemize}
   45.98 +\begin{figure}
   45.99 +\includegraphics[width=0.8\textwidth]{Figs_for_Nina/Application_processor_hierarchy.pdf}
  45.100 +\end{figure}
  45.101 +\end{frame}
  45.102 +
  45.103 +\subsection{Animation}
  45.104 +
  45.105 +\begin{frame}{Animation}
  45.106 +\begin{itemize}
  45.107 +\item Time in application is moved forward by an animator
  45.108 +\item Multiple levels of animator, physical animators at the bottom
  45.109 +\item Task animator picks physical animator for tasks
  45.110 +\end{itemize}
  45.111 +\begin{figure}
  45.112 +\includegraphics[width=0.6\textwidth]{Figs_for_Nina/App_processor_hier_w_animators.pdf}
  45.113 +\end{figure}
  45.114 +\end{frame}
  45.115 +
  45.116 +%\begin{frame}{Specification and Execution}
  45.117 +%\begin{itemize}
  45.118 +%\item Specification (source code) + data $\rightarrow$ everything needed to create a \emph{processor}
  45.119 +%\item Execution: \emph{animate} a specified \emph{processor}
  45.120 +%\end{itemize}
  45.121 +%
  45.122 +%\end{frame}
  45.123 +
  45.124 +
  45.125 +
  45.126 +\AtBeginSubsection[]
  45.127 +{
  45.128 +   \begin{frame}
  45.129 +       \frametitle{Outline}
  45.130 +       \tableofcontents[currentsection,currentsubsection]
  45.131 +   \end{frame}
  45.132 +}
  45.133 +
  45.134 +
  45.135 +\section{The Holistic Model}
  45.136 +
  45.137 +\begin{frame}{A Tale of Two Models}
  45.138 +Two Models:
  45.139 +\begin{itemize}
  45.140 +\item \emph{Unit Constraint Collection} 
  45.141 +\begin{itemize}
  45.142 +\item isolates scheduling-relevant information about the application
  45.143 +\item composed of schedulable units and constraints on scheduling
  45.144 +\item used to generate all valid loop graphs
  45.145 +\end{itemize}
  45.146 +\item \emph{Loop Graph}\begin{itemize}
  45.147 +\item relates scheduling behaviour to execution metrics
  45.148 +\item one loop for each scheduling event
  45.149 +\item loop is broken into phases
  45.150 +\item each phase has a measurement
  45.151 +\item measurements are values in spectra
  45.152 +\end{itemize}
  45.153 +\end{itemize}
  45.154 +\end{frame}
  45.155 +
  45.156 +\subsection{Unit Constraint Collection}
  45.157 +
  45.158 +\begin{frame}{Unit Constraint Collection}
  45.159 +\begin{itemize}
  45.160 +\item Separate scheduling-specific information from other language details $\rightarrow$ generally applicable model
  45.161 +
  45.162 +\item Represents all valid scheduling choices for an application
  45.163 +\item Extracts from the application schedulable units and constraints
  45.164 +\begin{itemize}
  45.165 +\item Language constructs that invoke scheduling decisions mark boundaries of schedulable units
  45.166 +\end{itemize}
  45.167 +\end{itemize}
  45.168 +\end{frame}
  45.169 +
  45.170 +\begin{frame}{Units}
  45.171 +\begin{itemize}
  45.172 +%\item Primitives that can be animated
  45.173 +\item Unit = specification + data = potential processor
  45.174 +\begin{itemize}
  45.175 +\item Specification = everything between two scheduling-relevant constructs
  45.176 +\end{itemize}
  45.177 +\item Whether processor actually gets created may depend on data or other factors
  45.178 +\end{itemize}
  45.179 +
  45.180 +\begin{figure}
  45.181 +\includegraphics[width=0.8\textwidth]{Figs_for_Nina/UCC_related_to_processor_hierarchy.pdf}
  45.182 +
  45.183 +\end{figure}
  45.184 +\end{frame}
  45.185 +
  45.186 +
  45.187 +
  45.188 +\begin{frame}{Scheduling constraints}
  45.189 +
  45.190 +\begin{itemize}
  45.191 +\item Usually partial order
  45.192 +\item Some models impose total order: sequential models
  45.193 +\item Some models allow more complicated relationships
  45.194 +\item Constraints on unit order
  45.195 +\begin{itemize}
  45.196 +\item due to communication
  45.197 +\item due to limitations of model
  45.198 +\end{itemize}
  45.199 +\end{itemize}
  45.200 +
  45.201 +\begin{figure}
  45.202 +\centering
  45.203 +\includegraphics[height= 0.35\textheight]{Figs_for_Nina/test.png}
  45.204 +\hspace{3em}
  45.205 +%\caption{The most common form of UCC: a dependency graph}
  45.206 +\includegraphics[height= 0.35\textheight]{Figs_for_Nina/UCC_with_many_to_many.pdf}
  45.207 +\end{figure}
  45.208 +
  45.209 +\end{frame}
  45.210 +
  45.211 +\subsection{Loop Graph}
  45.212 +
  45.213 +\begin{frame}{Loop Graph}
  45.214 +\begin{minipage}[t]{0.7\linewidth}
  45.215 +\begin{itemize}
  45.216 +\item Accounts for all physical-animator time.
  45.217 +\item Each node is a loop, comprised of phases, annotated with measurements
  45.218 +\item Internal edges represent accumulation
  45.219 +\item External edges represent scheduling condition update
  45.220 +\end{itemize}
  45.221 +\vspace{-2em}
  45.222 +\begin{figure}
  45.223 +\includegraphics[width=0.7\linewidth]{Figs_for_Nina/LoopGraph_w_dep_graph.pdf}
  45.224 +\end{figure}
  45.225 +\end{minipage}
  45.226 +\begin{minipage}[t]{0.29\linewidth}
  45.227 +\begin{figure}
  45.228 +\includegraphics[width=0.7\linewidth]{Figs_for_Nina/LoopGraph_seq.pdf}
  45.229 +\end{figure}
  45.230 +\end{minipage}
  45.231 +%For each loop, note which unit was chosen and how long each step took.
  45.232 +\end{frame}
  45.233 +
  45.234 +
  45.235 +\begin{frame}{Details of Loop}
  45.236 +
  45.237 +Loop consists of several elements:
  45.238 +
  45.239 +\begin{itemize}
  45.240 +\item Check which units have all constraints satisfied, pick one to animate
  45.241 +\item Communication
  45.242 +\item Do the work of the unit
  45.243 +\item Advise scheduler of completion
  45.244 +\end{itemize}
  45.245 +\begin{figure}
  45.246 +\includegraphics[width=0.4\textwidth]{Figs_for_Nina/Loop.pdf}
  45.247 +\end{figure}
  45.248 +\end{frame}
  45.249 +
  45.250 +\begin{frame}{Loop Graph}
  45.251 +\begin{figure}
  45.252 +\includegraphics[width=0.8\textwidth]{Figs_for_Nina/LoopG_to_Processors_to_UCC_w_timelines.pdf}
  45.253 +\end{figure}
  45.254 +\end{frame}
  45.255 +
  45.256 +\section{Validating the Model}
  45.257 +
  45.258 +\begin{frame}{Validating the Model}
  45.259 +\begin{itemize}
  45.260 +\item For spectra conclusions to be correct, loop graph needs to be correct $\rightarrow$ need to verify it
  45.261 +\item Check that execution time predictions from loop graph match with actual execution time
  45.262 +\item For a given App-Hardware combo, have to measure each box in the loop
  45.263 +\item Compare length of critical path to actual execution time
  45.264 +\end{itemize}
  45.265 +\end{frame}
  45.266 +
  45.267 +\begin{frame}{Recording the Loop Graph}
  45.268 +\begin{itemize}
  45.269 +\item Monitor program run in VMS
  45.270 +\item Note scheduling choices (= which VPs get scheduled)
  45.271 +\item Note constraints (= communication dependencies in SSR)
  45.272 +\item Measure length of phases
  45.273 +\end{itemize}
  45.274 +\end{frame}
  45.275 +
  45.276 +\begin{frame}{Tasks in VMS}
  45.277 +\begin{itemize}
  45.278 +\item Schedulable units are delimited by VMS calls
  45.279 +\item Loop phases correspond to blocks in VMS code
  45.280 +\item Read hardware counters at borders of each blocks
  45.281 +\item Record choices of plugin scheduler\_fn
  45.282 +\item Recording communication in SSR's comm\_handler\_fn
  45.283 +%\item Everything except blocking/unblocking happens in MasterLoop or CoreLoop code
  45.284 +%\item Blocking is VMS code
  45.285 +%\item Unblocking is Plugin code
  45.286 +\end{itemize}
  45.287 +\begin{figure}
  45.288 +\includegraphics[width=0.8\textwidth]{Figs_for_Nina/VMS-core__internal_workings.pdf}
  45.289 +\end{figure}
  45.290 +\end{frame}
  45.291 +
  45.292 +\begin{frame}{Using recorded data}
  45.293 +Transforming recorded data into Loop Graph:
  45.294 +\begin{itemize}
  45.295 +\item Scheduling choices \& communication records $\rightarrow$ nodes and edges
  45.296 +\item Counter values $\rightarrow$ phase measurements
  45.297 +\item Find critical path \& compare to total run length of app
  45.298 +\end{itemize}
  45.299 +\end{frame}
  45.300 +
  45.301 +
  45.302 +\begin{frame}{Loop Graph}
  45.303 +\begin{figure}
  45.304 +\centering
  45.305 +\includegraphics[height=0.8\textheight]{Figs_for_Nina/loopg1.png}~
  45.306 +\includegraphics[height=0.8\textheight]{Figs_for_Nina/loopg2.png}
  45.307 +\end{figure}
  45.308 +\end{frame}
  45.309 +
  45.310 +\section[Outlook]{Simulator for Scheduler-Application-Hardware interactions}
  45.311 +
  45.312 +\begin{frame}{Outlook}
  45.313 +\begin{itemize}
  45.314 +\item Replace hardware with simulator and replace application with UCC
  45.315 +\item Record same things from simulation as we got from VMS
  45.316 +\item Construct loop graph
  45.317 +\item Use it to generate spectra
  45.318 +\item In simulator, systematically control scheduling choices
  45.319 +\item Correlate spectra features to scheduling choices
  45.320 +\begin{itemize}
  45.321 +\item Overall best possible result
  45.322 +\item Best category of scheduler for app on hardware
  45.323 +\item Performance of given scheduling approach
  45.324 +\item Sensitivity of app-HW combo to scheduling
  45.325 +\end{itemize}
  45.326 +%\item Obtain runtime behaviour under various scheduling strategies
  45.327 +\end{itemize}
  45.328 +\end{frame}
  45.329 +
  45.330 +\begin{frame}{The End}
  45.331 +\begin{center}
  45.332 +Thank you for your time.
  45.333 +
  45.334 +Questions?
  45.335 +\end{center}
  45.336 +\end{frame}
  45.337 +
  45.338 +\end{document}
  45.339 +
  45.340 +\begin{frame}{Title}
  45.341 +\begin{itemize}
  45.342 +\item 
  45.343 +\end{itemize}
  45.344 +\end{frame}
  45.345 +basic model of computation
  45.346 +
  45.347 +how to animate a Processor?
  45.348 +
  45.349 +Processor, at every level, a collection of computational units that need to communicate data
  45.350 +
  45.351 +semantics fixed, but order not always
  45.352 +
  45.353 +constraints on unit animation order
  45.354 +-due to communication
  45.355 +-due to limitations of model
  45.356 +
  45.357 +animators = limited resources
  45.358 +
  45.359 +process of animation:
  45.360 +-pick unit to animate
  45.361 +-fetch data (communication)
  45.362 +-do work described in unit
  45.363 +-sync, if necessary
  45.364 +-return status
  45.365 +
  45.366 +each animator loops through these steps -> can be represented as a graph.
  45.367 +edges = status communication
  45.368 +
  45.369 +scheduling = making choices about how to construct loop graph
  45.370 +
  45.371 +hierarchy of animators -> hierarchy of units
  45.372 +
  45.373 +最終決定　早業P⇒音ずれP⇒イカサマP⇒風呂場P⇒シャイP⇒緊張P⇒トリッP⇒早業P⇒七色P⇒ヲタP⇒万能P⇒早業P

    46.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
    46.2 +++ b/0__Papers/holistic_model/holistic_model_detailed.tex	Wed Mar 14 12:02:39 2012 +0100
    46.3 @@ -0,0 +1,167 @@
    46.4 +\documentclass[a4paper,
    46.5 +               12pt,
    46.6 +               pdftex,
    46.7 +               headings=normal,
    46.8 +               headinclude=false,
    46.9 +               footinclude=false,
   46.10 +               DIV16
   46.11 +               ]{scrartcl}
   46.12 +        
   46.13 +\usepackage[utf8]{inputenc}
   46.14 +\usepackage{listings}
   46.15 +\usepackage{graphicx}
   46.16 +\usepackage{subfig}
   46.17 +        
   46.18 +\bibliographystyle{plain}        
   46.19 +               
   46.20 +\begin{document}
   46.21 +\title{The Holistic Model}
   46.22 +\author{Nina Engelhardt}
   46.23 +\date{\today}
   46.24 +\maketitle
   46.25 +\tableofcontents
   46.26 +
   46.27 +Problem statement -- as processors multiply and communication models diversify in systems, increasing attention must be paid to scheduling, as the limiting factor for performance becomes the organisation of communications in such a way as to minimize stalling or idling in wait for data. In this context, good scheduling results can only be obtained if scheduled units follow Application logic.
   46.28 +
   46.29 +Purpose -- to investigate interactions between Application, Hardware, and Scheduler, and its effects on desired metrics - execution time, energy, etc.
   46.30 +
   46.31 +\section{Overview}
   46.32 +
   46.33 +Spectra serve to correlate execution behaviour -- as defined by the chosen metric -- with scheduling decisions. From these correlations we hope to extract, in turn, the important characteristics of Application and Hardware and their effects on execution, as well as the effectiveness of different types of Scheduler for different combinations of Application and Hardware.
   46.34 +
   46.35 +Spectra show 
   46.36 +
   46.37 +The measurements to construct the Spectra are obtained by constructing a Loop Graph representing specific Scheduling choices made during one execution of a given Application on a given Hardware. The possible scheduling choices (and therefore, possible Loop Graphs) are limited by the Application, more specifically, by scheduling-relevant Application features such as communication. These scheduling-relevant features can be extracted, and the Application distilled into a collection of schedulable units and constraints on permissible schedulings called \emph{Unit Constraint Collection} (UCC).
   46.38 +
   46.39 +The Loop Graph builds upon a more fundamental model of software and its execution, called the Processor Representation of Software.
   46.40 +
   46.41 +%\section{Spectra}
   46.42 +
   46.43 +
   46.44 +
   46.45 +\section{Processor Representation of Software}
   46.46 +
   46.47 +In this model, everything is represented as \emph{processors}. Time in processors is moved forward through \emph{animation}.
   46.48 +
   46.49 +\subsection{Processors}
   46.50 +A processor is something that has a working state, a way to modify the working state, and an interface to communicate with other processors. To create a processor, two elements are needed: a specification, which describes the processor's behaviour, and input data to populate the initial working space.
   46.51 +
   46.52 +Take the following code:
   46.53 +\begin{lstlisting}
   46.54 +create_task(work_fn,data)
   46.55 +
   46.56 +work_fn(input) {
   46.57 +	a = input + 1
   46.58 +	inner_fn(a)
   46.59 +}
   46.60 +\end{lstlisting}
   46.61 +
   46.62 +The first line creates a task processor (according to some non-represented specification that describes task behaviour). Its input data is a specification for a function processor, and some data to pass along. This task processor then requests the creation of a function processor according to the \lstinline+work_fn+ specification, which in practical terms of e.g. C code, means reserving space on the stack for local variables. The data is then placed in the working state of this new processor (the parts of the stack reserved for function parameters).
   46.63 +
   46.64 +This new processor's behaviour is defined in terms of a language primitive, +, and another function processor specification, \lstinline+inner_fn+. Language primitives are processors whose specification is provided by the language. The \lstinline+work_fn+ processor thus first sends data (\lstinline+input+ and \lstinline+1+) to the primitive \lstinline'+' processor, then waits for it to return a datum \lstinline+a+, which it then sends to the processor defined by \lstinline+inner_fn+.
   46.65 +
   46.66 +In a sequential language like C, the + processor dissipates before the \lstinline+inner_fn+ function is created. The tree in figure \ref{fig:app_processor_hierarchy} represents the application, but does not at any moment exist as such.
   46.67 +
   46.68 +
   46.69 +\begin{figure}[ht]
   46.70 +\centering
   46.71 +\includegraphics[width=0.9\textwidth]{Figs_for_Nina/Application_processor_hierarchy.pdf}
   46.72 +\caption{Processor hierarchy for an example task}
   46.73 +\label{fig:app_processor_hierarchy}
   46.74 +\end{figure}
   46.75 +
   46.76 +\subsection{Animation}
   46.77 +
   46.78 +Progress in an application is made by successive changes to the working state of its processors. The sequence of changes to a processor's working state constitutes its timeline, thereby defining the notion of time local to a processor. Time in different processors progresses independently, except where communication(, creation, dissipation) ties the timelines of two processors together (tiepoint).
   46.79 +
   46.80 +In the context of executing an application, the physical processor is seen as the fundamental, lowest-level animator. Time in the physical processor progresses spontaneously. Time in virtual processors progresses via animation: the virtual processor is loaded into the working state of another processor that knows how to emulate it, called an animator. This animator may be another virtual processor, or an actual physical processor. As the animator's time progresses and its working state changes, so does the working state of the animated processor (where several changes in animator working state can effect a single change in animatee working state).
   46.81 +
   46.82 +\begin{figure}[ht]
   46.83 +\centering
   46.84 +%\includegraphics[width=0.9\textwidth]{Figs_for_Nina/App_processor_hier_w_animators.pdf}
   46.85 +\caption{Animation hierarchy during execution of previous example task}
   46.86 +\label{fig:app_animation_hierarchy}
   46.87 +\end{figure}
   46.88 +
   46.89 +For an application written in C, the physical processor does not know how to animate a specific function processor, or a + primitive. It can only animate sequences of instructions. The C compiler will therefore generate processor descriptions in the form of sequences of instructions, animatable by the physical processor (i.e. assembler code), that in turn animate the language primitive processors or function processors. The physical processor will switch between these assembler processors and animate them each in turn.
   46.90 +
   46.91 +Animators are transparent to the application. When writing in C, nothing is known about the resulting animator code. Animators are also not unique: the same code may be animated by a large variety of processors, or even the brain of some developer reading the code.
   46.92 +
   46.93 +\emph{Scheduling}, then, in this model, is the choice of which virtual processor to animate with which animator at what time. This happens at each level of animation, though in some cases (e.g. sequential C program) there is no choice as by construction only one processor is ready to be animated at any one time.
   46.94 +
   46.95 +\section{UCC}
   46.96 +
   46.97 +When reasoning about scheduling decisions, the specifications of each individual processor are irrelevant, only a reduced amount of information is necessary:
   46.98 +\begin{itemize}
   46.99 +\item that the processor may be created
  46.100 +\item under what conditions it will be ready to be animated
  46.101 +\item optionally, how long it takes to be animated by a given animator.
  46.102 +\end{itemize}
  46.103 +This scheduling-relevant information can be isolated in the form of an (annotated) Unit Constraint Collection.
  46.104 +
  46.105 +The \emph{Unit Constraint Collection}, UCC for short, represents all valid scheduling choices for an application given specific data. It consists of schedulable units extracted from the application and of constraints pertaining to the scheduling of these units. It is a generally applicable model, since it discards all language and implementation details.
  46.106 +
  46.107 +In many cases it is possible to extract all possible UCCs from the application without the data. Then, a UCC-generator may be used instead of a concrete UCC for reasoning about the application's behaviour under scheduling.
  46.108 +
  46.109 +It is common to be able to extract a UCC-generator without being able to predict the UCC for a specific data set, for instance when control flow depends on data.
  46.110 +
  46.111 +\subsection{Units}
  46.112 +A unit is delimited by scheduling-relevant language constructs. The work between two invocations, then, is scheduled as a unit, hence the name. The code inbetween the two statements is, as per the processor model, a specification for a certain number of processors. Combined with data, these specifications become potential processors. When a unit gets scheduled, these processors are actually created. The UCC, especially when statically extracted, may contain units that are never actually scheduled.
  46.113 +
  46.114 +\begin{figure}[h]
  46.115 +\centering
  46.116 +\includegraphics[width=0.8\textwidth]{Figs_for_Nina/UCC_related_to_processor_hierarchy.pdf}
  46.117 +\caption{Units related to the processor hierarchy}
  46.118 +\label{fig:inside_ucc}
  46.119 +\end{figure}
  46.120 +
  46.121 +It is necessary to include this property into the UCC, as many parallel languages have non-deterministic features, and these features are essential for performance. For a simple example, if a calculation is split up into a number of parallel sub-calculations, and results need to be aggregated in the end, it is faster to accept results from the sub-calculations in whatever order they finish, instead of enforcing a pre-determined order with waits.
  46.122 +
  46.123 +
  46.124 +%unit contains tree of processors->needs group of animators??
  46.125 +
  46.126 +\subsection{Constraints}
  46.127 +
  46.128 +Constraints in a UCC are relationships of order between units that the scheduling needs to respect/enforce. The kind of relationships are determined/limited by the language. In theory they may be of any form, but for the model to be useful in practice they usually need to be reduced to forms that are easy to reason about.
  46.129 +
  46.130 +Many models/languages limit constraints to dependencies between units, resulting in a partial ordering of units: the classic dependency graph (cf. fig. \ref{fig:dep_graph}). Sequential languages enforce total order of units.
  46.131 +
  46.132 +On the other hand, in cases such as the previously-described non-deterministic sequentialisation, more complex constraints are necessary, which are more difficult to represent graphically (an attempt is nonetheless made in fig. \ref{fig:many_to_many}).
  46.133 +
  46.134 +\begin{figure}[h]
  46.135 +\centering
  46.136 +\subfloat[Dependency Graph]{\label{fig:dep_graph}\includegraphics[width=0.2\textwidth]{Figs_for_Nina/test.png}}
  46.137 +\subfloat[Non-deterministic sequentialisation]{\label{fig:many_to_many}\includegraphics[width=0.3\textwidth]{Figs_for_Nina/UCC_with_many_to_many.pdf}}
  46.138 +\caption{Different types of constraints}
  46.139 +\label{fig:constraint_types}
  46.140 +\end{figure}
  46.141 +
  46.142 +\subsection{Levels of UCC}
  46.143 +%each level of UCC is one level of animator scheduling
  46.144 +%some levels get collapsed when decisions get re-used/deferred
  46.145 +
  46.146 +Whenever the application is not directly written for a physical animator, but for a virtual animator (essentially all code except assembler), the intermediary layers of animator may make choices about how to animate a unit. In particular, they will often break up units into smaller units and assign them to sub-animators. In this case, additional, animator-implementation-dependent scheduling decisions can be observed during execution, but they are "invisible" from the original application.
  46.147 +
  46.148 +Thus several levels of UCC, one for each level of animator, can be observed during animation.
  46.149 +
  46.150 +A good example case is Java bytecode. Even if the application code is sequential and never invokes the scheduler -- i.e. the application UCC consists of a single unit -- the application is rarely executed at once and with a fixed animator hierarchy, as it would be if all animators were considering it as a single unit. Instead, the scheduler in the JVM (a virtual animator that can animate Java bytecode) will assign different portions of the unit to different animators: some parts will be interpreted, others will be just-in-time compiled. Both the interpreter and the compiled code are implementations of animators that can animate application sub-units, but the interpreter is a slower animator that can animate all kinds of units while the compiled code is a fast animator that only knows how to animate this one specific type of unit (same code, but generally for any data). These different Java animators are animated by a collection of virtual physical animators -- vulgo: OS threads -- which again are scheduled invisibly to the higher levels of animator. To top it all, the physical animator will itself cut up the code into smaller units -- instructions, sometimes sub-instructions -- that it dispatches to different animators (functional units).
  46.151 +
  46.152 +In a simple, interpreted system, the relationship between the levels is straightforward: each animator will consider the unit it is animating in its individuality, and only make scheduling decisions about its constituting parts, while keeping any constraints on the unit as a whole intact. In this case, any conclusion drawn from the higher levels of UCC is still valid in the lower levels.
  46.153 +
  46.154 +However, we generally consider it acceptable for an animator to do whatever it wants, as long as the end result is the same as the one that would have been obtained by following the simplistic model outlined above. Thus, many animators perform \emph{optimizations}, and construct lower level UCCs that no longer conform to all the constraints or unit boundaries laid out in the higher levels.
  46.155 +
  46.156 +(Indeed, many programming languages contain unnecessarily broad constraints in order to make the mental model of the language easy to understand and to use. These superfluous constraints will then in many cases be detected by an optimizer and ignored.)
  46.157 +
  46.158 +This introduces two problems: for UCC analysis, either the transformations an animator implementation is likely to apply need to be known in addition to the source-code-derived UCC, or the actual dynamically generated UCC needs to be observed during animation. For the higher-level language schedulers, dynamic optimizations introduce variability and unpredictability of animation metrics such as execution time, communication amounts and times, etc, making it more difficult to make high-quality scheduling decisions.
  46.159 +
  46.160 +%animation->additional scheduling decisions->new level of ucc
  46.161 +%relation between levels of ucc defined by transformation that creates it (eg compilation)
  46.162 +%if we know something about transformation, we can say something about lower level only from higher level
  46.163 +%only lowest level is one that really determines what happens (?)
  46.164 +
  46.165 +\section{Scheduling Consequence Graph}
  46.166 +The Scheduling Consequence Graph (SCG) is a visual representation of the causality chain throughout the run of an application. 
  46.167 +
  46.168 +\bibliography{../holistic}{}
  46.169 +
  46.170 +\end{document}