\relax \@writefile{toc}{\author{Rapha\IeC {\"e}l Couturier}{}} \@writefile{toc}{\author{Christophe Guyeux}{}} \@writefile{loa}{\addvspace {10\p@ }} \@writefile{toc}{\contentsline {chapter}{\numberline {15}Pseudo Random Number Generator on GPU}{335}} \@writefile{lof}{\addvspace {10\p@ }} \@writefile{lot}{\addvspace {10\p@ }} \newlabel{chapter18}{{15}{335}} \@writefile{toc}{\contentsline {section}{\numberline {15.1}Introduction}{335}} \@writefile{toc}{\contentsline {section}{\numberline {15.2}Basic Recalls}{336}} \newlabel{section:BASIC RECALLS}{{15.2}{336}} \@writefile{toc}{\contentsline {subsection}{\numberline {15.2.1}Devaney's Chaotic Dynamical Systems}{337}} \@writefile{toc}{\contentsline {section}{\numberline {15.3}Toward Efficiency and Improvement for CI PRNG}{337}} \newlabel{sec:efficient PRNG}{{15.3}{337}} \@writefile{toc}{\contentsline {subsection}{\numberline {15.3.1}First Efficient Implementation of a PRNG based on Chaotic Iterations}{337}} \newlabel{algo:seqCIPRNG}{{15.1}{337}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {15.1}C code of the sequential PRNG based on chaotic iterations}{337}} \@writefile{toc}{\contentsline {subsection}{\numberline {15.3.2}Efficient PRNGs based on Chaotic Iterations on GPU}{337}} \newlabel{sec:efficient PRNG gpu}{{15.3.2}{337}} \@writefile{toc}{\contentsline {subsection}{\numberline {15.3.3}Naive Version for GPU}{338}} \@writefile{loa}{\contentsline {algocf}{\numberline {14}{\ignorespaces Main kernel of the GPU ``naive'' version of the PRNG based on chaotic iterations\relax }}{338}} \newlabel{algo:gpu_kernel}{{14}{338}} \@writefile{toc}{\contentsline {subsection}{\numberline {15.3.4}Improved Version for GPU}{339}} \@writefile{toc}{\contentsline {subsection}{\numberline {15.3.5}Chaos Evaluation of the Improved Version}{339}} \newlabel{IR}{{15}{340}} \@writefile{loa}{\contentsline {algocf}{\numberline {15}{\ignorespaces Main kernel for the chaotic iterations based PRNG GPU efficient version\relax }}{340}} \newlabel{algo:gpu_kernel2}{{15}{340}} \@writefile{toc}{\contentsline {section}{\numberline {15.4}Experiments}{340}} \newlabel{sec:experiments}{{15.4}{340}} \@writefile{lof}{\contentsline {figure}{\numberline {15.1}{\ignorespaces Quantity of pseudorandom numbers generated per second with the xorlike-based PRNG\relax }}{341}} \newlabel{fig:time_xorlike_gpu}{{15.1}{341}} \@writefile{lof}{\contentsline {figure}{\numberline {15.2}{\ignorespaces Quantity of pseudorandom numbers generated per second using the BBS-based PRNG\relax }}{342}} \newlabel{fig:time_bbs_gpu}{{15.2}{342}} \@setckpt{Chapters/chapter18/ch18}{ \setcounter{page}{344} \setcounter{equation}{0} \setcounter{enumi}{2} \setcounter{enumii}{0} \setcounter{enumiii}{0} \setcounter{enumiv}{22} \setcounter{footnote}{2} \setcounter{mpfootnote}{0} \setcounter{part}{1} \setcounter{chapter}{15} \setcounter{section}{4} \setcounter{subsection}{0} \setcounter{subsubsection}{0} \setcounter{paragraph}{0} \setcounter{subparagraph}{0} \setcounter{figure}{2} \setcounter{table}{0} \setcounter{numauthors}{0} \setcounter{parentequation}{4} \setcounter{subfigure}{0} \setcounter{lofdepth}{1} \setcounter{subtable}{0} \setcounter{lotdepth}{1} \setcounter{lstnumber}{15} \setcounter{ContinuedFloat}{0} \setcounter{AlgoLine}{14} \setcounter{algocfline}{15} \setcounter{algocfproc}{15} \setcounter{algocf}{15} \setcounter{proposition}{1} \setcounter{theorem}{0} \setcounter{exercise}{0} \setcounter{example}{0} \setcounter{definition}{0} \setcounter{proof}{1} \setcounter{lstlisting}{1} }