This commit is contained in:
Matthias
2017-08-16 17:37:54 +02:00
parent 18f1c768cf
commit 7d03ad7051
42 changed files with 20274 additions and 34 deletions
+518
View File
@@ -0,0 +1,518 @@
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dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
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/Helvetica-Oblique-latin1
/Helvetica-Oblique findfont
dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
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/Helvetica-Bold-latin1
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dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
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dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
/Encoding isolatin1encoding def
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definefont pop
/Helvetica-Narrow-latin1
/Helvetica-Narrow findfont
dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
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dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
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/Helvetica-Narrow-Bold-latin1
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dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
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dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
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/NewCenturySchlbk-Roman findfont
dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
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definefont pop
/NewCenturySchlbk-Italic-latin1
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dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
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definefont pop
/NewCenturySchlbk-Bold-latin1
/NewCenturySchlbk-Bold findfont
dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
/Encoding isolatin1encoding def
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definefont pop
/NewCenturySchlbk-BoldItalic-latin1
/NewCenturySchlbk-BoldItalic findfont
dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
/Encoding isolatin1encoding def
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definefont pop
/Palatino-Roman-latin1
/Palatino-Roman findfont
dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
/Encoding isolatin1encoding def
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definefont pop
/Palatino-Italic-latin1
/Palatino-Italic findfont
dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
/Encoding isolatin1encoding def
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definefont pop
/Palatino-Bold-latin1
/Palatino-Bold findfont
dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
/Encoding isolatin1encoding def
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definefont pop
/Palatino-BoldItalic-latin1
/Palatino-BoldItalic findfont
dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
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definefont pop
/Symbol-latin1
/Symbol findfont
definefont pop
/ZapfChancery-MediumItalic-latin1
/ZapfChancery-MediumItalic findfont
dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
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definefont pop
/ZapfDingbats-latin1
/ZapfDingbats findfont
dup length dict begin
{1 index /FID ne {def} {pop pop} ifelse} forall
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\section{MWRE Architecture}\label{sec:workflow_environment}
\begin{wrapfigure}{R}{0.5\textwidth}
\centering
\includegraphics[width=4cm,keepaspectratio=true]{./mwre/figures/Povray.pdf}
@@ -6,8 +9,6 @@
\label{fig:ex-povray}
\end{wrapfigure}
\section{MWRE Architecture}\label{sec:workflow_environment}
Based on the requirements outlined in the introduction, we designed a \emph{Manycore Workflow Runtime Engine (MWRE)} tailored to heterogeneous shared-memory manycore systems. Our main design principle was to provide a set of feature similar to the ones found in the current DCI workflow engines, while addressing the special characteristics and requirements of manycore systems. In this section we discuss the basic architecture of our workflow system and give short descriptions of the components.
We use the Persistence of Vision Raytracer (POV-Ray) workflow as a running example to illustrate the workflow representation, translation and enactment.
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\section{MWRE Workflow Enactment}\label{sec:MWRE-EnactmentModel}
This section describes the enactment model of our workflow engine. In order to be able to meet the requirements of shared-memory manycore systems, we designed it significantly different from traditional scientific workflow engines for DCIs by paying special attention to the efficient use of resources, low overheads, and arbitrarily complex data types for input and output activity ports.
\begin{wrapfigure}{R}{0pt}
\centering
\includegraphics[keepaspectratio=true, width=.5\textwidth]{./mwre/figures/engine-schematics.pdf}
\caption{MWRE workflow execution model.}
\label{fig:engine-schematics}
\end{wrapfigure}
\subsection{Workflow enactment model}
Workflow engines for DCIs usually rely on reflection and type introspection to generate the complete workflow structure and retrieve detailed activity information. Based on this information, the engine executes the workflow and handles the dependency resolution and the data transfers. One problem with this approach is its high overhead and increased resource use. Furthermore, to reduce the complexity and simplify the engine implementation, only a restricted set of data types for ports is usually supported. While this is sufficient for DCIs where complex data structures are usually transmitted via files, it is more efficient on shared memory systems to directly transfer them via shared memory requiring support for arbitrarily complex data types. To circumvent these problems, we use a novel design which, instead of relying on reflection and type introspection, employs a callback mechanism to resolve dependencies, transfer data, and handle composite activities.
Figure~\ref{fig:engine-schematics} shows the execution model of our engine. First (\circled{1}), the engine reads the workflow structure from the workflow program. Listing~\ref{alg:povray_structure} shows the structure of the C++ workflow program generated from the POV-Ray workflow representation. Lines~\ref{alg:povray_structure:SceneFileImpls:start}~--~\ref{alg:povray_structure:SceneFileImpls:end} list the available activity implementations of the \texttt{SceneFile} atomic activity, lines~\ref{alg:povray_structure:RenderImpls:start}~--~\ref{alg:povray_structure:RenderImpls:end} the implementations of the \texttt{Render} atomic activity, and lines~\ref{alg:povray_structure:ConvertImpls:start}~--~\ref{alg:povray_structure:ConvertImpls:end} the implementations of the \texttt{Convert} atomic activity. Afterwards, lines~\ref{alg:povray_structure:activities:start}~--~\ref{alg:povray_structure:activities:end} encode a table containing all workflow activities. Each line in this table represents a single activity and contains the activity name, the parent activity which represents the composite activity the activity is contained within, the successors and predecessors of the activity representing the data- and control-flow dependencies, the callbacks associated with the activity, and other activity dependent information. Finally, line~\ref{alg:povray_structure:workflow} defines the workflow itself and defines the initial start activity.
\begin{listing}[t]
\scriptsize
\begin{algorithmic}[1]
\State ActivityImplemenation SceneFileImpls[] = \{ \label{alg:povray_structure:SceneFileImpls:start}\\
\ \ \ \ /* \{type, function-pointer, meta-data\} */ \\
\ \ \ \ PThread, \&renderImplFunc, \{\{``SSE'', ``SSE2''\}\} \\
\};
\Statex \label{alg:povray_structure:SceneFileImpls:end}
\State ActivityImplemenation RenderImpls[] = \{ \label{alg:povray_structure:RenderImpls:start}\\
\ \ \ \ PThread, \&renderImplFunc, \{\{``SSE'', ``SSE3''\}, \{``key2'', ``value2''\}\} \label{alg:povray_structure:meta-data-example}\\
\};
\Statex \label{alg:povray_structure:RenderImpls:end}
\State ActivityImplemenation ConvertImpls[] = \{ \label{alg:povray_structure:ConvertImpls:start}\\
\ \ \ \ PThread, \&convertImplFunc1, \{\{``SSE'', ``SSE''\}, \{``key3'', ``value3''\}\} \\
\ \ \ \ OpenCl, \&convertImplFunc2, \{\{``OpenCL'', ``2.1''\}\} \\
\};
\Statex \label{alg:povray_structure:ConvertImpls:end}
\State ActivityTemplate Activities[] = \{ \label{alg:povray_structure:activities:start}\\
\ \ \ \ /* (name, ID, parentID, branchID, succs, preds, callbacks, activity-specific) */ \\
\ \ \ \ AT::Container(``toplevel'', 1, 0, 0, \{\}, \{\}, callbacks, ...), \label{alg:povray_structure:activities:0}\\
\ \ \ \ AT::Atomic(``SceneFile'', 2, 1, 0, \{3\}, \{\}, callbacks, SceneFileImpls, 1, ...), \\
\ \ \ \ AT::PForLoop(``PFor'', 3, 1, 0, \{5\}, \{2\}, callbacks, ...), \\
\ \ \ \ AT::Atomic(``Render'', 4, 2, 0, \{\}, \{\}, callbacks, RenderImpls, 1, ...), \\
\ \ \ \ AT::Atomic(``Convert'', 5, 1, 0, \{\}, \{3\}, callbacks, ConvertImpls, 2, ...), \\
\};
\Statex \label{alg:povray_structure:activities:end}
\State /* (workflow name, activities, id of start activity) */ \\
Workflow workflow(``povray'', Activities, 1);\label{alg:povray_structure:workflow}
\Statex
\State int main() \{ \label{alg:povray_structure:main:start}\\
\ \ \ wf\_input wf\_int = ...; \\
\ \ \ wf\_output wf\_out = WorkflowEngine.startWorkflow(workflow, wf\_in); \\
\}\label{alg:povray_structure:main:end}
\end{algorithmic}
\caption{POV-Ray workflow program snippet.}
\label{alg:povray_structure}
\end{listing}
\begin{listing}[t]
\scriptsize
\begin{algorithmic}[1]
\Function{visitPFor}{activity instance $AI_i$}
\If{$\lnot AI_i$.\Call{allInputsAvailable}{}}
\State \Call{$AI_i$.\Call{inputCallback}{}}{}\label{alg:visitpfor:inputCallback}
\EndIf
\If{$AI_i$.state $<$ \texttt{ReadyForExecution}}
\State \Call{$AI_i$.\Call{forCounterCallback}{}}{}\label{alg:visitpfor:forCallback}
\EndIf
\If{$AI_i$.state = \texttt{ReadyForExecution}}
\If{$\lnot AI_i$.\Call{isUnrolled}{}}
\State \Call{UnrollLoop}{$AI_i$}\label{alg:visitpfor:unrollLoop}
\EndIf
\State \Call{visitChildren}{$AI_i$}\label{alg:visitpfor:visitChildren}
\EndIf
\If{$AI_i$.state $\ge$ \texttt{ReadyForExecution} $\land \lnot AI_i$.\Call{allOutputsAvailable}{}}
\State \Call{$AI_i$.\Call{outputCallback}{}}{}\label{alg:visitpfor:outputCallback}
\EndIf
\If{$AI_i$.state $<$ \texttt{Finished} $\land$ all children are finished}
\State $AI_i$.\Call{setState}{\texttt{Finished}}\label{alg:visitpfor:finished}
\EndIf
\EndFunction
\end{algorithmic}
\caption{Visitor function of a \texttt{parallel for} loop.}
\label{alg:visitpfor}
\end{listing}
\begin{listing}[t]
\scriptsize
\begin{algorithmic}[1]
\Function{forLoopInputCallback}{ForLoopInstance $for$}\label{alg:povray_callbacks:inputcallback}
\State $for\_in \gets$ \Call{retrieveInStruct}{$for$}\Comment{Initialisation of $for\_in$ input port}
\State $parent\_in \gets$ \Call{retrieveInStruct}{\Call{getParentInstance}{$for$}}
\If{\Call{isValid}{$parent\_in.povFile$}}
\State $for\_in.povFile \gets parent\_in.povFile$
\EndIf
\Statex
\State [\ldots] \Comment{Similar code for initializing $totalFrames$, $framesPerActivity$ and $scene$ ports}
\Statex
\If{\Call{isValid}{$for\_in.povFile$, $for\_in.totalFrames$, $for\_in.framesPerActivity$, $for\_in.scene$}}
\State $for$.\Call{setAllInputsAvailable}{\texttt{true}}
\EndIf
\EndFunction
\Statex
\Function{forLoopOutputCallback}{ForLoopInstance $for$}\label{alg:povray_callbacks:outputcallback}
\State $for\_out \gets$ \Call{retrieveOutStruct}{$for$}
\For{$i \gets 0$ \textbf{to} $for$.getIterationCount()}
\State $child\_out \gets$ \Call{retrieveOutStruct}{\Call{getChildInstance}{$for, i, 0$}}
\If{\Call{isValid}{$child\_out.frames$}}
\State $for\_out.frames$.set(i, $child\_out.frames$)
\EndIf
\EndFor
\If{\Call{containsNValidEntries}{\mbox{$for$.\Call{getIterationCount}{}, $for\_out.frames$}}}
\State $for$.\Call{setAllOutputsAvailable}{\texttt{true}}
\EndIf
\EndFunction
\Statex
\Function{forLoopCounterCallback}{ForLoopInstance $for$}\label{alg:povray_callbacks:countercallback}
\State $for\_in \gets$ \Call{retrieveInStruct}{$for$}
\If{isValid($for\_in.totalFrames, for\_in.framesPerActivity$)}
\State $for$.\Call{setCounter}{\mbox{0, $for\_in.totalFrames / for\_in.framesPerActivity$, 1}}
\State $for$.\Call{setState}{\texttt{ReadyForExecution}}
\EndIf
\EndFunction
\end{algorithmic}
\caption{Callback functions of the POV-Ray \texttt{ParallelFor} loop activity.}
\label{alg:povray_callbacks}
\end{listing}
The engine maintains bookkeeping record information for the workflow and each activity instance. A record entry includes, among other things, the current state of the activity instance and references to the input and output data buffers. By amending the engine with an API that allows accessing these records, third-party applications can easily monitor the workflow progress. Furthermore, workflow steering can be easily implemented by allowing manipulation of the input and output data structures by third-party applications. However, due to its architecture, the engine cannot provide data type information inside input/output data buffers and, therefore, third-party applications used for workflow steering need to retrieve this information from other sources.
From the workflow structure, the engine constructs the WEP (\circled{2}) and repeatedly traverses it during the enactment. When traversing the WEP, the engine executes so-called \emph{visitor functions} for each node. In traditional engines, the visitor functions are directly responsible for the dependency resolution and data transfers. In contrast, the visitor functions in our engine are only responsible for orchestrating the execution of the associated pre-compiled callback functions (\circled{3}) that directly modify the state of the associated workflow activities (\circled{4}). The callback functions are part of the workflow specification, and it is the responsibility of the source-to-source compiler to generate them. Each callback function implements a specific functionality, such as transferring the input data, collecting the output data from children for composite activities, or resolving the condition of a \texttt{while} loop. This approach has the advantage of keeping the workflow engine lightweight and efficient. Instead of knowing all the details about the workflow, the engine only knows what is necessary to traverse the workflow structure and to keep track of the execution status, with no need to implement generic functionality for dependency resolution, data transfer and other tasks that introduce performance overheads. Another advantage is that it allows arbitrary data type support and facilitates extensibility. Every functionality that needs information about data types is encapsulated in a purposely-tailored callback function used in a particular workflow. New functionality can be easily implemented in callback functions too without needing to modify the engine.
\begin{wrapfigure}{R}{0pt}
\centering
\includegraphics[keepaspectratio=true, width=.5\textwidth]{./mwre/figures/activityStateDiagram.pdf}
\caption{Simplified state diagram of a \texttt{parallel for} activity.}
\label{fig:state-diagram}
\end{wrapfigure}
Listing~\ref{alg:visitpfor} shows the generic visitor function used to visit a \texttt{parallel for} loop (Figure~\ref{fig:state-diagram} shows a simplified state diagram of the \texttt{parallel for} loop). At first, it calls the input callback function in line~\ref{alg:visitpfor:inputCallback} to fetch the input data from its predecessors, if they are not already available. If the \texttt{for} loop is not ready for execution (meaning that the for loop counter has not been yet evaluated), the evaluating \texttt{for} counter callback gets executed in line~\ref{alg:visitpfor:forCallback}. When the for loop is ready for execution (meaning that the iteration space of the loop counter is known), the loop gets unrolled and an activity instance is created for each child and each iteration in line~\ref{alg:visitpfor:unrollLoop}. Afterwards, the visitor functions for the children activities are called in line~\ref{alg:visitpfor:visitChildren}. In our case, the atomic activity \texttt{render} is the only child. The visitor function of an atomic activity executes the input callback function and, when all inputs are satisfied, the activity gets executed and the output data is available in the output buffer of the atomic activity. The visitor function of the \texttt{for} loop activity executes the output callback function in line~\ref{alg:visitpfor:outputCallback}, which fetches data from the output buffers of the child activities and stores them into the output buffer of the loop activity. After all child activities have finished their execution, the activity state is set to \texttt{Finished} in line \ref{alg:visitpfor:finished}.
As an example, Listing~\ref{alg:povray_callbacks} shows the implementations of the callback functions of the \texttt{parallel for} loop (\texttt{ParallelFor}) of the POV-Ray workflow. The first callback (line~\ref{alg:povray_callbacks:inputcallback}) is the \emph{input callback} responsible for initializing the activity's input data buffer. For this, it accesses the input data buffer of the parent activity, checks whether it contains valid data, saves it into the input buffer of the \texttt{for} activity, and sets the \texttt{allInputsAvailable} flag to \texttt{true} if all input data fields contain valid data to avoid unnecessary function invocations. The second callback (line~\ref{alg:povray_callbacks:outputcallback}) is the \emph{output callback} responsible for filling in the output data buffers by accessing the output data buffers of its children, checking the validity of the data, storing the data into the output buffer of the \texttt{for} loop, and setting the \texttt{allOutputsAvailable} flag to \texttt{true} if all output data fields contain valid data. The third callback (line~\ref{alg:povray_callbacks:countercallback}) is the \emph{for counter callback} responsible for initializing the loop counter of the \texttt{for} loop activity \texttt{PForLoop} by checking if all required data is available, setting the counter, and declaring the activity as ready-for-execution by modifying its state.
\subsection{Scheduling and activity execution}
After the WEP has been evaluated for the first time and after every change, the workflow engine sends the new WEP to the scheduler. The scheduler then maps atomic activities to computing resources. Traditional workflow engines for DCIs often only lazily evaluate the WEP as far as it is required for workflow enactment to enact the ready to execute activities. However, full-ahead schedulers require a WEP that is as complete as possible to achieve a better schedule and, therefore, need to compute the WEP on their own. While this was not a major issue in traditional engines, as they are more tolerant to high overheads and usually run on own external dedicated systems, the performance overhead are of a greater concern for workflows on shared memory manycore systems. Because of this, we designed the WEP maintained by the workflow engine as complete as possible and such that all the relevant information is shared with the scheduler to avoid unnecessary recalculations.
Each activity implementation comes with meta-data in form of key-value pairs that can be used by the scheduler to select an appropriate implementation for execution. There is a set of well-defined key-value pairs such as the key \texttt{OpenCL} used to specify the OpenCL version of a specific activity implementation, or \texttt{SSE} to specify the required version of the Streaming SIMD Extension. Moreover, users can also define their own arbitrary key-value pairs. For example, line~\ref{alg:povray_structure:meta-data-example} in Listing~\ref{alg:povray_structure} specifies that the activity implementation requires \emph{SSE3} and there is also a user-defined key-value pair \texttt{key2=value2}.
After the scheduler has selected appropriate activity implementations and generated a schedule, the individual scheduling decisions are sent to the appropriate execution subsystems (e.g. \texttt{pthread} subsystem for \texttt{x86} code, \texttt{CUDA}/\texttt{OpenCL} subsystem for GPU kernels). For this purpose, MWRE provides a common extensible interface for the execution subsystems designed to support a wide variety of computing resources and to allow the scheduler interact with a specific execution subsystem without knowing the details of the underlying implementation. The execution results are then send back to the scheduler, which then handles them accordingly and notifies the workflow engine of any activity state changes.
Whenever an activity execution fails, the scheduler decides how the fault is resolved. We offer an API for implementing third-party schedulers and using this API the scheduler can resubmit the activity as it is, select a different activity implementation, map the activity onto a different resource, or simply fail the entire workflow. For example, our scheduler implementations try to resubmit a failed activity three times and after that the entire workflow is put into failed state, but other implementations may come up with more sophisticated fault handling methods.
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\section{Experiments}\label{sec:experiments}
The purpose of our experiments is twofold. We first compare in Section~\ref{sec:exp-overhead} the perfomance and overhead of our workflow engine with two related state-of-the-art workflow systems.
Second, we evaluate in Section~\ref{sec:exp-performance} the overhead of workflow execution with full-ahead scheduling to find out how well full-ahead scheduling performs on shared-memory manycore computers which exhibit completely different characteristics than DCIs.
We conducted all the experiments on a multi-core system with four Intel Xeon E7-4870 10-core CPUs at \SI{2.40}{\giga\hertz} with a total of \SI{128}{\giga\byte} of RAM. We used the GNU GCC C/C++ compiler version 4.9.1 to compile the generated workflow programs with the \texttt{-O3} optimisation flag.
\subsection{Workflow enactment performance and overhead}
\label{sec:exp-overhead}
\begin{figure}[t]
\centering
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Povray-Runtime.tex}}
\caption{Enactment time.}
\end{subfigure}
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Povray-Memory.tex}}
\caption{Memory utilisation.}
\end{subfigure}
\caption{Experimental results for the POV-Ray workflow.}
\label{fig:ex-povray-results}
\end{figure}
The goal of these experiments was to verify the callback-driven approach of designing the engine
and to give a general estimate of the overhead and scalability associated with maintaining a WEP on shared memory many-core systems.
Furthermore we also compared the performance and overhead of \emph{early evaluation} mode (labelled \texttt{MWRE-Early}) and \emph{late evaluation} mode (labelled \texttt{MWRE-Late}) to get an estimate on the costs of maintaining an as complete as possible WEP.
We conducted the experiments by comparing our engine with two related ones: a fully-fledged workflow environment for DCIs (ASKALON~\cite{Fahringer2007}) and a general purpose lightweight workflow scripting language (Swift~\cite{wilde2011swift}). To allow a low baseline comparison, we also implemented synthetic OpenMP versions for each workflow application, as OpenMP is the current standard for programming parallel applications on shared memory architectures. We automatically generated the MWRE workflow programs from the IWIR specifications (exported from ASKALON) and the concrete parts from the ASKALON's resource management deployment files using a Java source-to-source compiler that translates IWIR to C++. For each experiment, we recorded the enactment time of the workflow programs in both default and lazy WEP evaluation modes, and their memory utilisation. The enactment time refers to the time spend by the engine while evaluating the WEP and resolving dependencies. Regarding memory, we used the resident size reported by the operating system for MWRE and OpenMP, while for ASKALON and Swift we used the memory statistics delivered by the Java runtime API. Since there is no difference in memory consumption between \texttt{MWRE-Early} and \texttt{MWRE-Late}, we report a single joint result for both. To obtain a more accurate measure of the workflow enactment overhead and its memory consumption, we replaced the actual atomic activities with dummy implementations that only create empty files to satisfy data dependencies, and recorded the makespan of the workflow executions. We used the minimum completion time (MCT)~\cite{Maheswarana1999} scheduling algorithm in all experiments as it has low overhead, a low linear complexity, and is resilient to prediction inaccuracies.
We use a logarithmic $y$-axis in all the figures for a better visualisation.
\subsubsection{POV-Ray}
\begin{wrapfigure}{R}{0.3\textwidth}
\centering
\includegraphics[width=3cm,keepaspectratio=true]{./mwre/figures/Povray-experiments1.pdf}
\caption{Experimental POV-Ray workflow.}
\label{fig:ex-povray2}
\end{wrapfigure}
We used again the POV-Ray workflow with the simple structure presented in detail in Section~\ref{sec:workflow_environment} but without the \texttt{SceneFile} activity (see Figure~\ref{fig:ex-povray2}).
The results in Figure~\ref{fig:ex-povray-results} show that until about 2000~--~3000 activities the performance of MWRE is similar to OpenMP. Above 2000 activities the performance of \texttt{MWRE-Early} is significantly worse than OpenMP, and the performance difference increases the higher the activity count. The performance of \texttt{MWRE-Late} is slightly better, being similar to OpenMP till about 3000, and after it gets worse than OpenMP but it stays better than \texttt{MWRE-Early} showing twice the performance at about 8000 activities.
Swift is 50 times worse than MWRE for a low number of activities, but this difference decreases till it has the same performance as \texttt{MWRE-Early} and is only twice as worse than \texttt{MWRE-Late} for 8000 activities.
ASKALON's performance is 70~--120 times worse than MWRE and it can only handle about 2000 activities till it exceeds the memory available to Java.
After a rapid increase in the beginning, MWRE's memory utilization remains relatively constant between 90~--~\SI{110}{\mega\byte} and slowly increases with the number of activities. We consider this a low consumption given that real-world activity implementations typically consume gigabytes of memory. In comparison, OpenMP uses between 10~--~\SI{15}{\mega\byte}, Swift between 280~--~\SI{1000}{\mega\byte}, and ASKALON between 590~--~\SI{8500}{\mega\byte}.
\subsubsection{RainCloud}
\begin{wrapfigure}{R}{0.5\textwidth}
\centering
\includegraphics[width=6cm,keepaspectratio=true]{./mwre/figures/Raincloud-experiments1.pdf}
\caption{RainCloud workflow.}
\label{fig:ex-raincloud}
\end{wrapfigure}
RainCloud is a meteorological workflow for weather simulation in mountainous regions using a simple numerical linear model of orographic precipitations~\cite{Schuller2013}. The workflow is currently used by the Tyrolean avalanche service for their daily avalanche bulletins. Its structure, displayed in Figure\ref{fig:ex-raincloud}, is very similar to POV-Ray, but contains a few additional conditional activities. In our experiments, the conditional activities always evaluate to true so that the \texttt{PPS} and \texttt{PPF} activities are executed.
\begin{figure}[t]
\centering
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Raincloud-Runtime.tex}}
\caption{Enactment time.}
\end{subfigure}
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Raincloud-Memory.tex}}
\caption{Memory utilisation.}
\end{subfigure}
\caption{Experimental results for the RainCloud workflow.}
\label{fig:ex-raincloud-results}
\end{figure}
The results in Figure~\ref{fig:ex-raincloud-results} show that until about 3000 activities the performance of MWRE is similar to OpenMP. Above 3000 activities the performance of \texttt{MWRE-Early} and \texttt{MWRE-Late} is significantly worse than OpenMP, and the performance difference increases the higher the activity count. The performance of \texttt{MWRE-Late} is again significantly better than \texttt{MWRE-Early} after 3000 activities.
Swift is 40 times worse than MWRE for a low number of activities, but this difference decreases till it shows even better performance as \texttt{MWRE-Early} and is only slightly worse than \texttt{MWRE-Late} at around 9000 activities.
ASKALON's performance starts out 350 times worse than MWRE but at around 6000 activities, where it runs out of memory again, it is only 10 times worse than \texttt{MWRE-Early}.
After a rapid increase, the memory utilization of MWRE is relatively constant between 60~--~\SI{95}{\mega\byte} and slowly increases with the number of activities. In comparison, OpenMP uses between 16~--~\SI{21}{\mega\byte}, Swift between 283~--~\SI{590}{\mega\byte}, and ASKALON between 590~--~\SI{6200}{\mega\byte}.
\begin{wrapfigure}{R}{0.5\textwidth}
\centering
\includegraphics[width=6cm,keepaspectratio=true]{./mwre/figures/Montage-experiments1.pdf}
\caption{Montage workflow.}
\label{fig:ex-montage}
\end{wrapfigure}
\subsubsection{Montage}
Montage~\cite{Jacob2009} is a well-known workflow in the scientific computing community created by NASA/IPAC, which stitches together multiple images to create mosaics of the sky. Montage has a rather complex structure briefly sketched in Figure~\ref{fig:ex-montage}, making its enactment the most computationally expensive from all our workflows.
The results in Figure~\ref{fig:ex-montage-results} show that until about 600 activities the performance of MWRE is similar to OpenMP. Above 600 activities the performance of \texttt{MWRE-Early} is rapidly degrading, even getting much worse than Swift at around 2000 activities. In contrast, \texttt{MWRE-Late} always performs similar to OpenMP.
Swift starts 7 times worse than MWRE for a low number of activities, but this difference decreases till it is even twice as fast as \texttt{MWRE-Early} at around 3000 activities.
In this experiment we cannot directly compare ASKALON to the rest because ASKALON begins to exceed available memory at around 160 activities due to the internal implementation of the collection data type, extensively used for activity ports in Montage.
\begin{figure}[t]
\centering
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Montage-Runtime.tex}}
\caption{Enactment time.}
\end{subfigure}
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Montage-Memory.tex}}
\caption{Memory utilisation.}
\end{subfigure}
\caption{Experimental results for the Montage workflow.}
\label{fig:ex-montage-results}
\end{figure}
The memory utilisation of MWRE is relatively constant between 65~--~\SI{207}{\mega\byte} and slowly increases with the number of activities. In comparison, OpenMP uses between 21~--~\SI{30}{\mega\byte}, Swift between 312~--~\SI{6500}{\mega\byte}, and ASKALON between 614~--~\SI{9000}{\mega\byte}.
\subsubsection{Sparselu}
\begin{wrapfigure}{R}{0.5\textwidth}
\centering
\includegraphics[width=6cm,keepaspectratio=true]{./mwre/figures/Sparselu-experiments1.pdf}
\caption{Sparselu workflow.}
\label{fig:ex-sparselu}
\end{wrapfigure}
The Sparselu workflow (see Figure~\ref{fig:ex-sparselu}) adapted from the \texttt{sparselu} program from the BOTS benchmark suite~\cite{duran2009barcelona} does LU factorisation of sparse matrices. The workflow comes in two flavours: with a \texttt{for} and with a \texttt{while} sequential outermost loop. In terms of WEP generation in MWRE, there is a big difference between a \texttt{while} and a \texttt{for} loop. While we can unroll a \texttt{for} loop once we know the loop iteration counter and generate the complete WEP, this is not possible for a \texttt{while} loop that requires re-evaluation of the loop condition after each iteration with no indication on the total number of iterations. The workflow contains three consecutive \texttt{parallel for} loops with the same number of iterations within the sequential outermost loop. The experiments labelled \texttt{*-Length} in Figures~\ref{fig:ex-Sparselu-while-results} and~\ref{fig:ex-Sparselu-for-results} only modify the iteration number of the sequential outermost loop (i.e. the length of the workflow), while the experiments labelled \texttt{*-Width} only modify the iteration number of the inner \texttt{parallel for} loops (i.e. the width of the workflow). In the first case, we increase of total number of activities while keeping the number of activities scheduled at the same time constant, while in the second case we also modify the number of activities simultaneously scheduled.
\begin{figure}[t]
\centering
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Sparselu-For-1-Runtime.tex}}
\caption{Enactment time (\texttt{For-Length}).}
\end{subfigure}
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Sparselu-For-1-Memory.tex}}
\caption{Memory utilisation (\texttt{For-Length}).}
\end{subfigure}
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Sparselu-For-2-Runtime.tex}}
\caption{Enactment time (\texttt{For-Width}).}
\end{subfigure}
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Sparselu-For-2-Memory.tex}}
\caption{Memory utilisation (\texttt{For-Width}).}
\end{subfigure}
\caption{Experimental results for the \texttt{For} variant of the Sparselu workflow.}
\label{fig:ex-Sparselu-for-results}
\end{figure}
\begin{figure}[t]
\centering
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Sparselu-While-1-Runtime.tex}}
\caption{Enactment time (\texttt{While-Length}).}
\end{subfigure}
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Sparselu-While-1-Memory.tex}}
\caption{Memory utilisation (\texttt{While-Length}).}
\end{subfigure}
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Sparselu-While-2-Runtime.tex}}
\caption{Enactment time (\texttt{While-Width}).}
\end{subfigure}
\begin{subfigure}[b]{0.48\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Sparselu-While-2-Memory.tex}}
\caption{Memory utilisation (\texttt{While-Width}).}
\end{subfigure}
\caption{Experimental results for the \texttt{While} variant of the Sparselu workflow.}
\label{fig:ex-Sparselu-while-results}
\end{figure}
The results in Figures~\ref{fig:ex-Sparselu-while-results} and~\ref{fig:ex-Sparselu-for-results} show that the performance of MWRE is similar to OpenMP most of the time. Also there is no significant difference in performance between the \texttt{For} and the \texttt{While} variants. However, there is a significant performance difference between the \texttt{*-Length} and the \texttt{*-Width} variants. The performance of the \texttt{*-Length} variants always stays similar to OpenMP, whereas the performance of the \texttt{*-Width} variants gets worse than OpenMP at about 30000 activities. The performance of Swift is about 4~--~7 times worse than MWRE in most cases. However, in the \texttt{*-Width} variants it is only two times worse than \texttt{MWRE-Early} at around 60000 activities. ASKALON on the other hand, is about 500~--~800 times worse than MWRE, and at around 6000 activities it again runs out of memory.
The memory utilisation of MWRE is significantly higher than in the previous experiments (between 15~--~\SI{820}{\mega\byte}), but comparable if we take into account the higher number of activities involved. In comparison, OpenMP uses between 15~--~\SI{32}{\mega\byte}s, Swift between 550~--~\SI{4100}{\mega\byte}, and ASKALON between 770~--~\SI{7200}{\mega\byte}.
\subsubsection{Discussion}
The experimental results show that MWRE has a better performance and lower memory usage than other traditional workflow systems on shared-memory manycore systems most of the time. It even shows similar performance than OpenMP in most cases. However, its scalability is limited and nearly all experiments show that at a certain workflow size the performance of MWRE begins to degrade. This is because MWRE maintains a complete WEP of the workflow in order to facilitate full-ahead scheduling. Maintaining a WEP is a complex stateful operation and at a certain size the costs of maintaining a WEP becomes too high causing poor performance. At which workflow size the costs of maintaining a WEP seems to be individual for each workflow. In our experiments a simple workflow like POV-Ray only shows similar performance to OpenMP up to 2000~--~3000 activities, whereas a more complex workflow like Sparselu can scale up to more than 60000 activities.
One of the factors that influences the scalability is the number of simultaneously scheduled activities. POV-Ray is basically a single parallel loops, which means that nearly all activities are scheduled at the same time. In contrast, Sparselu contains several parallel loops within a sequential loop which means that only a fraction of the total workflow activities are simultaneously scheduled. This is further confirmed by comparing the \texttt{*-Length} and \texttt{*-Width} variants of the Sparselu workflow. The \texttt{*-Length} variants do not change the number of simultaneously scheduled activities, and they show performance similar to OpenMP in all cases. In comparison, the \texttt{*-Width} variants do increase the number of simultaneously scheduled activities, and at around 30000 activities their performance begins to worsen.
Another factor limiting scalability seems to be the number of re-evaluations of the WEP caused by our \emph{early evaluation} policy. The most prominent example is the huge gap in the performance of \texttt{MWRE-Early} and \texttt{MWRE-Late} in the Montage workflow. Montage excessively uses \texttt{parallel ForEach} loops together with \texttt{Union}-Ports, which means that every finished loop iteration causes a notification of the successor activities that new data is available when \texttt{MWRE-Early} is used. In contrast, \texttt{MWRE-Late} only informs the successors when the complete loop has finished. Also in most other workflows \texttt{MWRE-Late} scales better than \texttt{MWRE-Early}, although the performance difference is not that dramatic. This also indicates that there is some optimization potential by finding some middle ground between \texttt{MWRE-Early} and \texttt{MWRE-Late} and thus reducing the number of re-evaluations.
The results also indicate that there is no significant performance difference between generating the complete WEP from the beginning (i.e. \texttt{For} variants of Sparselu) and successively completing the WEP as the workflow execution progresses (i.e. \texttt{While} variants of Sparselu).
\subsection{Workflow execution using full-ahead scheduling}
\label{sec:exp-performance}
We believe that full-ahead scheduling is one of the keys to success for workflows on shared-memory manycore computers. We know from DCIs that full-ahead scheduling algorithm produce a better schedule than just-in-time scheduling algorithms in most cases. But workflows on DCIs exhibit different characteristics than parallel programs on shared-memory manycore computers. While Workflows on DCIs usually consist of relatively few, long running atomic activities, parallel programs on manycores consist of a rather large number of short running tasks. Also, on DCIs the workflow engine and consequently the scheduler are implemented as extern services having their own dedicated computing resources, while on manycores the workflow engine and the scheduler have to compete with the atomic activity execution sub-system for computing resources. Because of this the scheduler has to re-evaluate the schedule more often on manycore computers leading to more overhead, while at the same time workflow execution on manycores is much more susceptible to scheduling overhead because of shared computing resources and much shorter execution times of atomic activities.
To find out whether full-ahead scheduling can still deliver its promises despite the above mentioned problems, we executed a large number of workflows exhibiting characteristics of parallel programs for manycores using a well-known full-ahead scheduling algorithm. In order to have a baseline we can compare the results to, we also executed the same workflows using a just-in-time scheduling algorithm. As full-ahead scheduling algorithm we use HEFT~\cite{Maheswarana1999} and as just-in-time algorithm we use Minimum Completion Time (MCT). HEFT is one of the most widely known full-ahead scheduling algorithms consisting of two phases. In the first phase, it recursively assigns a rank to each activity according to its highest distance to the last activity of the workflow (i.e. B-rank):
\[\mathit{rank}\left(a_i\right)=\overline{w_i}+\max_{n_j\in \mathit{succ}\left(a_i\right)}\left(\overline{c_{i,j}}+\mathit{rank}\left(a_j\right)\right),\]
where $a_i \in A$ refers to the $i$-th activity, $\overline{w_i}$ is the average execution time of activity $a_i$ across all available resources, $\mathit{succ}\left(a_i\right)$ is the set of activities that immediately depend on $a_i$, and $\overline{c_{i,j}}$ is the average communication costs of the data transferred between activities $a_i$ and $a_j \in \mathit{succ}\left(a_i\right)$ across all pairs of available resources. In the second phase, it traverses the ranked list of activities and schedules each of them using the MCT algorithm.
\begin{figure}[t]
\centering
\resizebox{\textwidth}{!}{ \input{./mwre/figures/Scheduler01-Speedup.tex}}
\caption{Speedup of HEFT versus MCT.}
\label{fig:ex-scheduling-speedup-results}
\end{figure}
To evaluate the workflow execution performance for a large number and variety of workflows, we used an algorithm for automatically generating random workflows~\cite{topcuoglu2002performance} by varying the following parameters as presented in Table~\ref{tab:wf-params}:
\begin{itemize}
\item \emph{Average number of activities} $v$ in the workflow;
\item \emph{Workflow shape} $\alpha$ by randomly generating the workflow height from a uniform distribution with a mean value equal to $\frac{\sqrt{v}}{\alpha}$, and the width of each level randomly selected from a uniform distribution with mean value $\sqrt{v}\cdot\alpha$;
\item \emph{Output degree of an activity} $o_i$ representing the maximum number of successors a workflow activity is allowed to have;
\item \emph{Computational heterogeneity} $\beta$ by randomly generating the execution time for each activity $a_i$ on each resource from the interval $\left(\overline{w_i}\cdot\left(1-\frac{\beta}{2}\right), \overline{w_i}\cdot\left(1+\frac{\beta}{2}\right)\right)$, where $\overline{w_i}$ is the average execution time of $a_i$.
\end{itemize}
\begin{wraptable}{r}{0pt}
\small
\begin{tabular}{|c|c|}
\hline
\emph{Parameter} & \emph{Value set}\\
\hline
$v$ & \{ 300, 600, 900, 1200, 2400 \}\\
$\alpha$ & \{ 1, 2, 4 \}\\
$o_i$ & \{ 2, 4, 8, 10 \}\\
$\beta$ & \{ 1, 1.9 \}\\
\hline
\end{tabular}
\caption{Random workflow generation parameters.}
\label{tab:wf-params}
\end{wraptable}
We set the computation to communication ratio parameter to zero, since on shared memory systems the communication is usually much faster than the computation. We set the average activity execution time $\overline{w}$ to five seconds to get a more realistic result for shared memory manycore systems that allow a much finer-grained parallelism compared to DCIs that feature average execution times of several minutes or hours.
We generated three different workflows for each parameter combination, recorded the average workflow execution time for each parameter combination, and computed the speedup of HEFT compared to MCT. Furthermore, we recorded the workflow enactment time (spent in the workflow engine and the scheduler) together with the queuing and actual execution time for each activity.
\begin{figure}[t!]
\centering
\begin{subfigure}[b]{\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Scheduler01-Times-HEFT.tex}}
\caption{HEFT.}
\end{subfigure}
\begin{subfigure}[b]{\textwidth}
\resizebox{\columnwidth}{!}{ \input{./mwre/figures/Scheduler01-Times-JIT.tex}}
\caption{MCT.}
\end{subfigure}
\caption{Cumulative time analysis of HEFT and MCT.}
\label{fig:ex-scheduling-results}
\end{figure}
Figure~\ref{fig:ex-scheduling-speedup-results} shows the speedup results of our experiments. The $x$-axis represents the parameter groups starting with 1, defined as the cross-product of the parameter values from Table~\ref{tab:wf-params}. For example, the parameter group 20 represents the parameter values $v=300$, $\alpha=4$, $o_i=4$ and $\beta=1.9$. It can be seen that HEFT generally exhibits a better performance than MCT for a large number of workflows, with performance gains of up to 40\%. The number of activities $v$ does not have a significant impact on performance in our experiment. In contrast, the shape parameter $\alpha$ significantly influence performance. For $\alpha=1$ (parameter groups 1~--~8, 25~--~32, 49~--~56, 73~--~80 and 97~--~104), we hardly obtain any speedup and get even slowdowns. Only for $\alpha>1$ we obtain significant speedups. The parameter $\alpha$ controls the height and width of a workflow, and the higher its value the more parallelism a workflow contains. This means that a workflow needs a minimal amount of parallelism for full-ahead scheduling to produce good results. The influence of the parameters $o_i$ and $\beta$ on the speedup cannot be clearly determined. There are some indications that higher values of $o_i$ and $\beta$ tend to produce a better speedups, but the differences are smaller than the error distribution. Therefore, they are not significant enough for a conclusion.
Figure~\ref{fig:ex-scheduling-results} with a logarithmic $y$-axis shows the cumulative sum of enactment times, activity queuing times and activity execution times. The $x$-axis again represents the parameter groups. In this figure, the number of nodes $v$ significantly impacts the enactment time. The number of nodes grows with the growing parameter group number, as also the enactment time for both HEFT and MCT. The activity queuing time is influenced by both number of nodes $v$ and workflow shape $\alpha$. The higher the number of nodes $v$ the higher the average queue time. But there are also sudden jumps in the queue time which correspond with the workflow shape $\alpha$ being set to 2 (the smaller jumps like e.g. at parameter group 57~--~64) and being set to 4 (the higher jumps like e.g. at parameter group 65~--~72). When we compare the results of HEFT with the results of MCT then we see that HEFT has higher enactment time, which is proportional to the number of nodes $v$, than MCT. Nevertheless, the enactment time is in all instances still much smaller than the sum of queue times and execution times. But HEFT has a lower activity queue time than MCT. When we look at the total times, then the lower queue times more than compensate for the higher enactment times so that in the end HEFT has a better performance than MCT in most cases.
The results clearly show that workflow execution on shared-memory manycores using a full-ahead scheduling algorithm can still gain significant performance compared to just-in-time scheduling, despite suffering from a higher overhead compared to workflow execution on DCIs and manycore computers being more susceptible to overhead. Even with a low average activity execution time of only five seconds, the overhead caused by the WEP generation and full-ahead scheduling algorithm stays in an acceptable range.
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\chapter{Manycore Workflow Runtime Engine (MWRE)}
\input{mwre/mwre-architecture}
\input{mwre/mwre-enactment}
\input{mwre/mwre-source-to-source-compiler}
\input{mwre/mwre-evaluation}
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\section{Source-to-Source Compiler}\label{sec:Source-to-Source-Compiler}
In our MWRE workflow environment, we employ the Insieme compiler\footnote{http://www.insieme-compiler.org} to convert a workflow specification written in IWIR into a C++ workflow program using our engine. Insieme is a research source-to-source compiler targeted at automatically optimizing parallel programs for homogeneous and heterogeneous multi-core architectures, which currently supports C, Cilk, OpenMP and OpenCL languages. Insieme uses a single high-level parallel intermediate representation (IR) called INSPIRE~\cite{jordan2013inspire} in all stages of the compilation process. INSPIRE is the best-suited compiler-based IR because it allows us to concentrate on a single language (unlike e.g. \texttt{gcc}, which uses different IR languages in different compiler stages), it includes constructs for high-level constructs like \texttt{for} loops (unlike e.g. LLVM whose IR language only consists of simple assembler-like instructions), and it additionally includes constructs directly representing parallel concepts (like e.g. \texttt{parallel for} loops). High-level constructs ease program analysis, while dedicated parallel constructs allow to precisely represent an IWIR workflow. Furthermore, INSPIRE has been designed as an extensible IR allowing to easily add new data types or program constructs.
The conversion process from an IWIR workflow specification into an equivalent MWRE workflow program consists of three phases: (1) translation of the IWIR specification into INSPIRE, (2) compiler transformations on the INSPIRE IR, and (3) conversion of the INSPIRE IR into a MWRE workflow program.
\subsection{Phase 1: IWIR translation into INSPIRE}\label{sec:Source-to-Source-Compiler-phase1}
IWIR is a block-structured, data flow-oriented workflow language with control flow constructs very similar to modern imperative programming languages like C. Therefore, IWIR workflows can also be represented by IR languages originally designed for imperative languages, for example by replacing all IWIR constructs with their corresponding INSPIRE high-level counterparts.
\lstdefinelanguage{INSPIRE}{
language=XML,
commentstyle=\color{gray}\upshape,
morestring=[b][\color{black}\itshape\mdseries]",
morestring=[s][\bfseries]{>}{<},
morecomment=[s]{<?}{?>},
stringstyle=\color{black},
identifierstyle=\color{black}\bfseries,
keywordstyle=\color{black}\bfseries, % keyword style
tagstyle=\color{black}\bfseries
}
\begin{listing}[!t]
\lstinputlisting[language=INSPIRE]{mwre/povray.inspire}
\caption{INSPIRE representation of the POV-Ray workflow.}
\label{lst:povray_inspire}
\end{listing}
Listing~\ref{lst:povray_inspire} shows the INSPIRE program representing our POV-Ray example workflow. To ease the program analysis, each activity is represented by a function that encapsulates the code implementing the activity and whose signature represents the activity input and output ports. In our example, function \texttt{fun003} (lines~\ref{povray:inspire:wfstart:start}~--~\ref{povray:inspire:wfstart:end}) represents the start of the workflow and defines the workflow input (lines~\ref{povray:inspire:wfinputs:start}~--~\ref{povray:inspire:wfinputs:end}) and output ports (line~\ref{povray:inspire:wfoutput}). The \texttt{\_iwir\_wf\_input\_} and \texttt{\_iwir\_wf\_output\_} functions are helper functions whose only purpose is to help identify the workflow input and output ports. The \texttt{fun002} function (lines~\ref{povray:inspire:toplevel:start}~--~\ref{povray:inspire:toplevel:end}) represents the \texttt{toplevel} activity corresponding to the IWIR snippet between lines~\ref{povray:iwir:toplevel:start}~--~\ref{povray:iwir:toplevel:end} in Listing~\ref{lst:povray_iwir}. The \texttt{fun001} (lines~\ref{povray:inspire:pfor:start}~--~\ref{povray:inspire:pfor:end}) and \texttt{fun000} (lines~\ref{povray:inspire:pfor_lambda:start}~--~\ref{povray:inspire:pfor_lambda:end}) functions represent the \texttt{parallel for} \texttt{ParallelFor} activity corresponding to the IWIR snippet between lines~\ref{povray:iwir:pfor:start}~--~\ref{povray:iwir:pfor:end} in Listing~\ref{lst:povray_iwir}. The \texttt{fun001} function defines the parallel loop itself and the activity ports, while the \texttt{fun000} function represents the loop body. Finally, line~\ref{povray:inspire:programroot} represents the root of the workflow program. The \texttt{\_iwir\_input\_wrapper\_} and \texttt{\_iwir\_output\_wrapper\_} functions in each function call are helper functions used to determine the function arguments representing the input and the output ports. Atomic activities are represented by a call to the \texttt{\_iwir\_atomic\_} function, the first parameter being the name of the atomic activity type, the second parameter being the atomic activity type, and the rest of the parameters representing the input and output ports and their names.
Imperative languages, including INSPIRE, use variables and operations upon variables to describe the data flow. Data flow-driven programs like IWIR can easily be converted into an imperative program by representing every data dependency as a variable using a \emph{single static assignment}, meaning that every variable is written only once, which ensures that we can easily analyse the data flow to recreate the data dependencies. The only exceptions are loop ports that can be written more than once, however, they can only be written once per loop iteration, which makes them still easy to analyse. IWIR also does not allow any data manipulations outside of atomic activities, therefore, an INSPIRE program representing an IWIR workflow is only allowed to transport data from one activity to another, but not to manipulate this data.
\subsection{Phase 2: INSPIRE compiler transformations}\label{sec:Source-to-Source-Compiler:phase2}
Compiler transformations are usually applied to a program in order to optimize one or more program characteristics, such as execution time or program size. They can also be applied to an INSPIRE representation of a workflow application. However, compiler transformations for MWRE workflows have different optimizations goals and constraints. Traditional compiler transformations are mostly targeted towards exploiting hardware characteristics and loop optimisation, their only constraint being program correctness. In contrast, MWRE workflows only contain an abstract specification of the workflow structure translated into a WEP by the workflow engine that executes the workflow by traversing it. Furthermore, IWIR and consequently MWRE do not allow any data manipulation outside of atomic activities that are treated as blackboxes and may have more than one implementation. This excludes most traditional compiler transformations which require data manipulations or operate on low-level program constructs or on individual instructions.
However, compiler transformations having other optimization goals can be applied to workflows, as described in the following:
\begin{itemize}
\item \emph{Reduce the number of executed atomic activities}, where the most effort is spent when executing a workflow. Therefore, this transformation category is the most likely to achieve good results. When applying traditional compiler transformations, atomic activities should be treated as single instructions.
\item \emph{Reduce the engine overhead} by reducing the number of composite activities and/or transforming the workflow structure. Since the time spent in the workflow engine is usually a fraction of the total workflow execution there is only limited benefits from such transformations with respect to the execution time. However, optimizations falling into this category may help with the next optimization goal.
\item \emph{Improve and/or facilitate scheduling} by modifying the workflow structure so that the scheduler can find better mappings leading to faster execution plans.
\end{itemize}
A compiler transformation is legal when the resulting program is semantically equivalent to the original program, which means that the transformed program produces the same results as the original program. When applying compiler transformation to a workflow program, we may change the order of atomic activities, or eliminate an individual atomic activity. This poses a problem because, according to the workflow paradigm, atomic activities are regarded as black-boxes without any knowledge of its internals. There could be a hidden state governing the execution of atomic activities, and by applying compiler transformations we could accidentally alter it in a way that causes the transformed program to produce false results.
To solve this problem, we need to relax the black-box principle and provide (limited) information on what happens inside an activity. To achieve this, we use a tag systems which allows attaching tags to activities. For example, we use a \emph{side-effect freeness} tag (the term comes from functional programming indicating functions that always produce the same output for the same input) to indicate that the tagged activities do not have a global state influencing their execution of an atomic activity. The tags are stored inside the activity repository as part of the activity description. All tags added to an activity also need to be valid for all implementations of that activity. Before a workflow transformation is applied, the source-to-source compiler checks the tags of the affected activities to determine whether the transformation can be safely applied.
There are traditional compiler transformations that fall into one of the categories mentioned above, and can be theoretically applied to workflow programs. But there are practical implications that hinder the application of traditional transformations without tailoring them specifially to workflow programs first. To demonstrate the problem let us try to apply an existing compiler transformation to our POV-Ray workflow example. The first step is to analyse the workflow program to identify optimization possibilities. In our example a data-flow analysis would reveal that the input value of the \texttt{SceneFile} atomic activity are loop invariant, and therefore we can move this activity out of the loop and place it right before it using a traditional compiler transformation called \emph{loop-invariant code hoisting}, and thus improve performance by having the affected activities executed only once instead of every loop iteration.
However, when applying the loop-invariant code hoisting transformation of a traditional compiler, the \texttt{SceneFile} activity would be placed before the \texttt{parallel for} loop (between lines~\ref{povray:inspire:pfor:start} and~\ref{povray:inspire:pfor:loopstart} in Listing~\ref{lst:povray_inspire}). This would break the rule that every composite activity needs to be encapsulated in its own function, which violates the INSPIRE workflow structure outlined in Section~\ref{sec:Source-to-Source-Compiler-phase1} that can no longer be translated into a MWRE workflow program in the next step. Instead, a workflow-aware version of the loop-invariant code hoisting transformation needs to place the \texttt{SceneFile} activity inside the function representing the \texttt{toplevel} activity (line~\ref{povray:inspire:toplevel:start} in Listing~\ref{lst:povray_inspire}).
\subsection{Phase 3: MWRE workflow generation}
The last phase deals with the conversion the (optimized) INSPIRE program into a MWRE workflow program. It consists of three sub-phases: In the first sub-phase, we generate C data structures (i.e. \texttt{struct}s) representing the input and output ports of each activity. In the second sub-phase, we replace the functions representing the individual activities and the contained INSPIRE constructs with equivalent MWRE constructs and construct tables representing the complete workflow structure. Finally in the third sub-phase, we analyse the variables and their data-flow to reconstruct the original data-flow and generate the callback functions implementing said data-flow.
\begin{listing}[!t]
\scriptsize
\begin{algorithmic}[1]
\StructStart[toplevel\_input] \label{alg:povray_structs:toplevel_input:start}
\State string string;
\State int totalFrames;
\State int framesPerActivity;
\StructEnd \label{alg:povray_structs:toplevel_input:end}
\StructStart[toplevel\_output] \label{alg:povray_structs:toplevel_output:start}
\State string finalMovie;
\StructEnd \label{alg:povray_structs:toplevel_output:end}
\StructStart[SceneFile\_input]
\State string scene;
\StructEnd
\StructStart[SceneFile\_output]
\State string povFile;
\StructEnd
\StructStart[PForLoop\_input]
\State string povFile;
\State int totalFrames;
\State int numFrames;
\State string scene;
\StructEnd
\StructStart[PForLoop\_output]
\State collection frames;
\StructEnd
\StructStart[RenderTask\_input]
\State string povFile;
\State int startFrame;
\State int numFrames;
\StructEnd
\StructStart[RenderTask\_output]
\State collection frames;
\StructEnd
\end{algorithmic}
\caption{Data structures representing the ports of a POV-Ray workflow
(we omitted the boolean \texttt{``valid data''} flag for each structure component and the structures
for the \texttt{Convert} activity for brevity reasons).}
\label{alg:povray_structs}
\end{listing}
We again use our example POV-Ray workflow to describe the translation process. First, we traverse the entire INSPIRE workflow program and look at the signatures of the functions and function-calls representing the workflow activities to learn about their input- and output-ports. Using that information we generate the structures (\texttt{struct}s) representing the ports of each activity (see Listing~\ref{alg:povray_structs}). Afterwards, we again traverse the INSPIRE workflow program, only this time we create the tables representing the workflow structure (see Listing~\ref{alg:povray_structure}). The INSPIRE program structure outlined in Section~\ref{sec:Source-to-Source-Compiler-phase1} allows us to identify the individual workflow activities in the INSPIRE workflow program, and for each identified activity we create a row in our activity table (Lines~\ref{alg:povray_structure:activities:start}~--~\ref{alg:povray_structure:activities:end} in Listing~\ref{alg:povray_structure}). For each encountered atomic activity we consult the activity implementation repository to retrieve all available implementations and construct a table representing these implementations (e.g. Lines~\ref{alg:povray_structure:SceneFileImpls:start}~--~\ref{alg:povray_structure:SceneFileImpls:end} in Listing~\ref{alg:povray_structure} lists the available implementations for the \texttt{SceneFile} activity). Also we generate the callback function implementing the semantics of composite activities like e.g. the callback function that evaluates the loop counter of our \texttt{parallel for} loop. Finally, we analyse the variables of the INSPIRE program and their data-flow to reconstruct the original data-flows and generate the callback functions implementing the found data-flow (see Listing~\ref{alg:povray_callbacks}).
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let fun000 = fun(ref<ref<array<char,1>>> scene, ref<int<4>> numFrames, ref<collection<collection<file<ref<array<char,1>>>>>> frames, int<4> counterStart, int<4> counterStop, int<4> counterStep) -> unit { (*@\label{povray:inspire:pfor_lambda:start}@*)
for(decl int<4> forCounter = counterStart .. counterStop : counterStep) {
decl ref<file<ref<array<char,1>>>> povFile = (var(undefined(type<file<ref<array<char,1>>>>)));
_iwir_atomic_("SceneFile", "SceneFile", _iwir_input_wrapper_(scene), "scene", _iwir_output_wrapper_(povFile), "povFile");
decl ref<collection<file<ref<array<char,1>>>>> renderFrames = (var(undefined(type<collection<file<ref<array<char,1>>>>>)));
_iwir_atomic_("Render", "Render", _iwir_input_wrapper_(povFile), "povFile", _iwir_input_wrapper_(forCounter), "forCounter", _iwir_input_wrapper_(numFrames), "numFrames", _iwir_output_wrapper_(renderFrames), "renderFrames");
(ref_collection_at(frames, forCounter) := ( *renderFrames));
};
}; (*@\label{povray:inspire:pfor_lambda:end}@*)
let fun001 = fun(ref<ref<array<char,1>>> scene, ref<int<4>> totalFrames, ref<int<4>> framesPerActivity, ref<collection<collection<file<ref<array<char,1>>>>>> frames) -> unit { (*@\label{povray:inspire:pfor:start}@*)
pfor(getThreadGroup(0), 1, ( *totalFrames), ( *framesPerActivity), bind(counterStart, counterStop, counterStep){fun000(_iwir_input_wrapper_(scene), _iwir_input_wrapper_(framesPerActivity), _iwir_output_wrapper_(frames), counterStart, counterStop, counterStep)}); (*@\label{povray:inspire:pfor:loopstart}@*)
}; (*@\label{povray:inspire:pfor:end}@*)
let fun002 = fun(ref<ref<array<char,1>>> scene, ref<int<4>> totalFrames, ref<int<4>> framesPerActivity, decl ref<file<ref<array<char,1>>>> outFile) -> unit { (*@\label{povray:inspire:toplevel:start}@*)
decl ref<collection<collection<file<ref<array<char,1>>>>>> frames = (var(undefined(type<collection<collection<file<ref<array<char,1>>>>>>)));
fun001(_iwir_input_wrapper_(scene), _iwir_input_wrapper_(totalFrames), _iwir_input_wrapper_(framesPerActivity), _iwir_output_wrapper_(frames))
_iwir_atomic_("Convert", "Convert", _iwir_input_wrapper_(frames), "frames", _iwir_output_wrapper_(outFile), "outfile"); (*@\label{povray:inspire:convert:end}@*)
_iwir_wf_output_(type<file<ref<array<char,1>>>>, outFile)
}; (*@\label{povray:inspire:toplevel:end}@*)
let fun003 = fun() -> unit { (*@\label{povray:inspire:wfstart:start}@*)
decl ref<ref<array<char,1>>> scene = _iwir_wf_input_(type<ref<array<char,1>>>); (*@\label{povray:inspire:wfinputs:start}@*)
decl ref<int<4>> totalFrames = _iwir_wf_input_(type<int<4>>);
decl ref<int<4>> framesPerActivity = _iwir_wf_input_(type<int<4>>); (*@\label{povray:inspire:wfinputs:end}@*)
decl ref<file<ref<array<char,1>>>> outFile = (var(undefined(type<file<ref<array<char,1>>>>)));
fun002(_iwir_input_wrapper_(scene), _iwir_input_wrapper_(totalFrames), _iwir_input_wrapper_(framesPerActivity), _iwir_output_wrapper_(outFile))
_iwir_wf_output_(type<file<ref<array<char,1>>>>, outFile) (*@\label{povray:inspire:wfoutput}@*)
}; (*@\label{povray:inspire:wfstart:end}@*)
fun003() (*@\label{povray:inspire:programroot}@*)