X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/prng_gpu.git/blobdiff_plain/9000a5dc19eb61806daa88858a42b7a433da0c5d..4f77fbaca003dceaba9d6c5f8c6695327b1e2113:/prng_gpu.tex?ds=sidebyside

diff --git a/prng_gpu.tex b/prng_gpu.tex
index 19adf22..82a4927 100644
--- a/prng_gpu.tex
+++ b/prng_gpu.tex
@@ -74,11 +74,11 @@ numbers inside a GPU when a scientific application runs in a GPU. That is why we
 also provide  an efficient  PRNG for  GPU respecting based  on IC.  Such devices
 allows us to generated almost 20 billions of random numbers per second.
 
-In order to establish 
+In order  to establish  that our  PRNGs are chaotic  according to  the Devaney's
+formulation, we extend what we have proposed in~\cite{guyeux10}. Moreover,  we define a new distance to measure the disorder in the chaos and we prove some interesting properties with this distance.
 
 The rest of this paper  is organised as follows. In Section~\ref{section:related
-  works}  we review  some GPU  implementions of  PRNG.  Section~\ref{sec:chaotic
-  iterations}  gives some  basic recalls  on  Devanay's formation  of chaos  and
+  works}  we review  some GPU  implementions of  PRNG.  Section~\ref{section:BASIC RECALLS}  gives some  basic recalls  on  Devanay's formation  of chaos  and
 chaotic iterations. In Section~\ref{sec:pseudo-random} the proof of chaos of our
 PRNGs  is  studied.   Section~\ref{sec:efficient  prng}  presents  an  efficient
 implementation of  our chaotic PRNG  on a CPU.   Section~\ref{sec:efficient prng
@@ -955,13 +955,14 @@ Devaney's formulation of a chaotic behavior.
 \label{sec:experiments}
 
 Different experiments have been performed in order to measure the generation
-speed.
-\begin{figure}[t]
+speed. In Figure~\ref{fig:time_gpu} we compare the number of random numbers generated per second.
+
+\begin{figure}[htbp]
 \begin{center}
   \includegraphics[scale=.7]{curve_time_gpu.pdf}
 \end{center}
 \caption{Number of random numbers generated per second}
-\label{fig:time_naive_gpu}
+\label{fig:time_gpu}
 \end{figure}
 
 
