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[prng_gpu.git] / prng_gpu.tex

diff --git a/prng_gpu.tex b/prng_gpu.tex
index 3e1aa83e4c9f7c60f9d4c99b350761668822bc6b..c505685702dc3ecf4cead612d0b5e25d6828b7a8 100644 (file)
--- a/prng_gpu.tex
+++ b/prng_gpu.tex
@@ -1,6 +1,11 @@
 \documentclass{article}
 \usepackage[utf8]{inputenc}
 \usepackage[T1]{fontenc}
 \documentclass{article}
 \usepackage[utf8]{inputenc}
 \usepackage[T1]{fontenc}

+\usepackage{fullpage}
+\usepackage{fancybox}
+\usepackage{amsmath}
+\usepackage{moreverb}
+\usepackage{commath}

 
 \title{Efficient generation of pseudo random numbers based on chaotic iterations on GPU}
 \begin{document}
 
 \title{Efficient generation of pseudo random numbers based on chaotic iterations on GPU}
 \begin{document}


@@ -22,7 +27,43 @@ Présentation des itérations chaotiques
 
 \section{Efficient prng based on chaotic iterations}
 
 
 \section{Efficient prng based on chaotic iterations}
 

-On parle du séquentiel avec des nombres 64 bits
+On parle du séquentiel avec des nombres 64 bits\\
+
+Faire le lien avec le paragraphe précédent (je considère que la stratégie s'appelle $S^i$\\
+
+In  order to  implement efficiently  a PRNG  based on  chaotic iterations  it is
+possible to improve  previous works [ref]. One solution  consists in considering
+that the  strategy used $S^i$  contains all the  bits for which the  negation is
+achieved out. Then instead of applying  the negation on these bits we can simply
+apply the xor operator between the current number and the strategy $S^i$.
+
+\begin{figure}[htbp]
+\begin{center}
+\fbox{
+\begin{minipage}{14cm}
+unsigned int CIprng() \{\\
+  static unsigned int x = 123123123;\\
+  unsigned long t1 = xorshift();\\
+  unsigned long t2 = xor128();\\
+  unsigned long t3 = xorwow();\\
+  x = x\^\ (unsigned int)t;\\
+  x = x\^\ (unsigned int)(t2$>>$32);\\
+  x = x\^\ (unsigned int)(t3$>>$32);\\
+  x = x\^\ (unsigned int)t2;\\
+  x = x\^\ (unsigned int)(t$>>$32);\\
+  x = x\^\ (unsigned int)t3;\\
+  return x;\\
+\}
+\end{minipage}
+}
+\end{center}
+\caption{sequential Chaotic Iteration PRNG}
+\label{algo:seqCIprng}
+\end{figure}
+
+In Figure~\ref{algo:seqCIprng} a sequential version of our chaotic iterations based PRNG is
+presented. This  version uses  three classical 64-bits  PRNG: the  xorshift, the
+xor128 and the xorwow. These three PRNGs are presented in~\cite{Marsaglia2003}.

 
 \section{Efficient prng based on chaotic iterations on GPU}
 
 
 \section{Efficient prng based on chaotic iterations on GPU}
 


@@ -37,5 +78,6 @@ On donne des temps de générations de nombre sur GPU puis on rappatrie sur CPU
 \section{Lyapunov}
 
 \section{Conclusion}
 \section{Lyapunov}
 
 \section{Conclusion}

-
+\bibliographystyle{plain}
+\bibliography{mabase}

 \end{document}
 \end{document}