X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/book_gpu.git/blobdiff_plain/1874c46934f4ba7e8c2013d3829f65309456d292..fd7d6f1c6c149f79839200277703c9ef950150f8:/BookGPU/Chapters/chapter18/ch18.tex diff --git a/BookGPU/Chapters/chapter18/ch18.tex b/BookGPU/Chapters/chapter18/ch18.tex index 7c2a393..9e92d3e 100755 --- a/BookGPU/Chapters/chapter18/ch18.tex +++ b/BookGPU/Chapters/chapter18/ch18.tex @@ -13,14 +13,14 @@ generated by either a deterministic and reproducible algorithm called a pseudorandom number generator (PRNG)\index{PRNG}, or by a physical nondeterministic process having all the characteristics of a random noise, called a truly random number generator (TRNG). In this chapter, we focus on -reproducible generators, useful for instance in MonteCarlo-based +reproducible generators, useful for instance in Monte Carlo-based simulators. These domains need PRNGs that are statistically irreproachable. In some fields such as in numerical simulations, speed is a strong requirement that is usually attained by using parallel architectures. In that case, a recurrent problem is that a deflation of the statistical qualities is often reported, when the parallelization of a good PRNG is realized. This -is why adhoc PRNGs for each possible architecture must be found to +is why ad hoc PRNGs for each possible architecture must be found to achieve both speed and randomness. On the other hand, speed is not the main requirement in cryptography: the most important point is to define \emph{secure} generators able to withstand malicious @@ -252,7 +252,7 @@ satisfies the Devaney's definition of chaos. In Listing~\ref{algo:seqCIPRNG} a sequential version of the proposed PRNG based on chaotic iterations is presented, which extends the generator family -formerly presented in~\cite{bgw09:ip,guyeux10}. The xor operator is represented by +formerly presented in~\cite{bgw09:ip,guyeux10}. The \texttt{xor} operator is represented by \textasciicircum. This function uses three classical 64-bit PRNGs, namely the \texttt{xorshift}, the \texttt{xor128}, and the \texttt{xorwow}~\cite{Marsaglia2003}. In the following, we call them ``xor-like