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[prng_gpu.git] / prng_gpu.tex

diff --git a/prng_gpu.tex b/prng_gpu.tex
index e177e2459e5ea47883bb9871104bd6bb25df2e2b..f0482538e2238b6131a940654e744d204d24049b 100644 (file)
--- a/prng_gpu.tex
+++ b/prng_gpu.tex
@@ -47,12 +47,12 @@ unsigned int CIprng() \{\\
   unsigned long t1 = xorshift();\\
   unsigned long t2 = xor128();\\
   unsigned long t3 = xorwow();\\
   unsigned long t1 = xorshift();\\
   unsigned long t2 = xor128();\\
   unsigned long t3 = xorwow();\\

-  x = x\^\ (unsigned int)t1;\\
-  x = x\^\ (unsigned int)(t2$>>$32);\\
-  x = x\^\ (unsigned int)(t3$>>$32);\\
-  x = x\^\ (unsigned int)t2;\\
-  x = x\^\ (unsigned int)(t1$>>$32);\\
-  x = x\^\ (unsigned int)t3;\\
+  x = x\textasciicircum (unsigned int)t1;\\
+  x = x\textasciicircum (unsigned int)(t2$>>$32);\\
+  x = x\textasciicircum (unsigned int)(t3$>>$32);\\
+  x = x\textasciicircum (unsigned int)t2;\\
+  x = x\textasciicircum (unsigned int)(t1$>>$32);\\
+  x = x\textasciicircum (unsigned int)t3;\\

   return x;\\
 \}
 \end{minipage}
   return x;\\
 \}
 \end{minipage}


@@ -63,12 +63,14 @@ unsigned int CIprng() \{\\
 \end{figure}
 
 In Figure~\ref{algo:seqCIprng}  a sequential  version of our  chaotic iterations
 \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
+based PRNG  is presented.  This version  uses three classical 64  bits PRNG: the

 \texttt{xorshift},  the \texttt{xor128}  and the  \texttt{xorwow}.   These three
 \texttt{xorshift},  the \texttt{xor128}  and the  \texttt{xorwow}.   These three

-PRNGs  are  presented in~\cite{Marsaglia2003}.  As  each  PRNG  used works  with
-64-bits and as  our PRNG works with 32-bits, the  use of \texttt{(unsigned int)}
+PRNGs  are presented  in~\cite{Marsaglia2003}.   As each  PRNG  used works  with
+64-bits and as  our PRNG works with 32 bits, the  use of \texttt{(unsigned int)}

 selects the 32 least  significant bits whereas \texttt{(unsigned int)(t3$>>$32)}
 selects the 32 least  significant bits whereas \texttt{(unsigned int)(t3$>>$32)}

-selects the 32 bits most significants bits of the variable \texttt{t}.
+selects the 32  most significants bits of the  variable \texttt{t}. This version
+sucesses   the   BigCrush   of    the   TestU01   battery   [P.   L’ecuyer   and
+  R. Simard. Testu01].

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