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\usepackage{tikz}
\usepackage{ucs}
\usepackage{alltt}
+\usepackage{subfig}
\usepackage[utf8x]{inputenc}
\usepackage{tabularx}
}
+\frame{
+
+\frametitle{FFT boxes}
+
+Many of ONETEP's calculations occur in spatially restricted, periodic regions
+called FFT boxes.
+
+\begin{center}
+
+\resizebox{0.7\textwidth}{!}{
+\includegraphics{images-svg/simulation_cell}
+}
+
+\end{center}
+
+One of the most computationally expensive operations in ONETEP is interpolation
+of data on a regular, periodic, three-dimensional grid to 8x the original size.
+
+}
+
+\frame{
+
+\frametitle{What we did}
+
+We looked at different algorithmic approaches (with differing operation counts)
+to performing interpolation using exising Fourier transform implementations.
+
+\begin{figure}
+
+\subfloat [Naïve Interpolation] {
+ \resizebox{!}{0.3\textheight}{\includegraphics{images-svg/interpolation-naive}}
+}
+\subfloat [Padding-Aware Interpolation] {
+ \resizebox{!}{0.3\textheight}{\includegraphics{images-svg/interpolation-onetep}}
+}
+\subfloat [Phase-Shift Interpolation (3D)] {
+ \resizebox{!}{0.3\textheight}{\includegraphics{images-svg/per-dimension-interpolation}}
+}
+
+\end{figure}
+
+}
+
+\frame{
+
+\frametitle{What we did}
+
+\begin{itemize}
+
+\item Built a C
+ library~\footnote{\url{https://github.com/FrancisRussell/resampling}} that
+ enabled us to explore the performance impact of different algorithmic and
+ platform-specific variations on the implementation of interpolation.
+
+\item Platform-specific variations in performance are influenced by multiple
+ factors and are hard to predict. The library times multiple implementations at
+ run-time and chooses the best one.
+
+\item We modified ONETEP to use our library and carried out benchmarks on a
+ number of problems, comparing against unmodified ONETEP.
+
+\item Even though Fourier interpolation only makes up at most 50\% of ONETEP's
+ executution time, we still manage to significantly impact ONETEP's overall
+ running time.
+
+\end{itemize}
+
+}
+
+
\frame{
\frametitle{Speedups in ONETEP Fourier Routines}
projects / francis / psl_presentation_20140306.git / commitdiff
