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authorcouturie <couturie@carcariass.(none)>
Sun, 17 Feb 2013 17:20:14 +0000 (18:20 +0100)
committercouturie <couturie@carcariass.(none)>
Sun, 17 Feb 2013 17:20:14 +0000 (18:20 +0100)
BookGPU/BookGPU.tex
BookGPU/Chapters/chapter16/ch16.aux
BookGPU/Chapters/chapter18/biblio.bib
BookGPU/Chapters/chapter18/ch18.aux
BookGPU/Chapters/chapter18/ch18.tex
BookGPU/Makefile

index 92b09d1afe0e488efa881aaa5f4e0d487c3c0f4e..0b7f5cfa4f392604a72701a70b1170064ed37991 100755 (executable)
 
 \setcounter{page}{1}
 \part{This is a Part}
 
 \setcounter{page}{1}
 \part{This is a Part}
-\include{Chapters/chapter1/ch1}
-\include{Chapters/chapter2/ch2}
-\include{Chapters/chapter3/ch3}
-\include{Chapters/chapter5/ch5}
-\include{Chapters/chapter6/ch6}
-\include{Chapters/chapter7/ch7}
-\include{Chapters/chapter8/ch8}
-\include{Chapters/chapter9/ch9}
-\include{Chapters/chapter11/ch11}
-\include{Chapters/chapter14/ch14}
-\include{Chapters/chapter15/ch15}
-\include{Chapters/chapter16/ch16}
-\include{Chapters/chapter18/ch18}
+%%\include{Chapters/chapter1/ch1}
+%% \include{Chapters/chapter2/ch2}
+%% \include{Chapters/chapter3/ch3}
+%% \include{Chapters/chapter5/ch5}
+%% \include{Chapters/chapter6/ch6}
+%% \include{Chapters/chapter7/ch7}
+%% \include{Chapters/chapter8/ch8}
+%% \include{Chapters/chapter9/ch9}
+%% \include{Chapters/chapter11/ch11}
+%% \include{Chapters/chapter14/ch14}
+%% \include{Chapters/chapter15/ch15}
+%% \include{Chapters/chapter16/ch16}
+ \include{Chapters/chapter18/ch18}
 
 \bibliographystyle{hep}
 %%%\bibliography{biblio}
 
 \bibliographystyle{hep}
 %%%\bibliography{biblio}
index f3f5e6a323774b9e259e560b8e917350733dea2c..27e999a06dc21e5635723edb0a8e0c0bdd0c09ae 100644 (file)
 \@writefile{toc}{\contentsline {section}{\numberline {13.6}Glossary}{304}}
 \@writefile{toc}{\contentsline {section}{Bibliography}{304}}
 \@setckpt{Chapters/chapter16/ch16}{
 \@writefile{toc}{\contentsline {section}{\numberline {13.6}Glossary}{304}}
 \@writefile{toc}{\contentsline {section}{Bibliography}{304}}
 \@setckpt{Chapters/chapter16/ch16}{
-\setcounter{page}{305}
+\setcounter{page}{306}
 \setcounter{equation}{9}
 \setcounter{enumi}{2}
 \setcounter{enumii}{0}
 \setcounter{enumiii}{0}
 \setcounter{equation}{9}
 \setcounter{enumi}{2}
 \setcounter{enumii}{0}
 \setcounter{enumiii}{0}
-\setcounter{enumiv}{0}
+\setcounter{enumiv}{22}
 \setcounter{footnote}{0}
 \setcounter{mpfootnote}{0}
 \setcounter{part}{1}
 \setcounter{footnote}{0}
 \setcounter{mpfootnote}{0}
 \setcounter{part}{1}
index f3b0ccc534818e880950ffd300fb1f9baa6904c5..911369ee0377340ffa66459fc7d20d4b8ad22aea 100644 (file)
@@ -1,35 +1,47 @@
-@misc{ch1:cuda,
-  author = {{NVIDIA Corporation}},
-  keywords = {CUDA},
-  note = {Version 4.0},
-  title = {{NVIDIA CUDA C} Programming Guide},
-  year = 2011
+@BOOK{devaney,
+  title = {An Introduction to Chaotic Dynamical Systems},
+  publisher = {Addison-Wesley},
+  year = {1989},
+  author = {Devaney, R. L.},
+  address = {Redwood City, CA},
+  edition = {2nd}
 }
 
 }
 
-@Article{ch1:Buck:2004:BGS,
-  author =     "I. Buck and T. Foley and D. Horn and J.
-                Sugerman and K. Fatahalian and M. Houston and P.
-                Hanrahan",
-  title =      "{Brook} for {GPUs}: stream computing on graphics
-                hardware",
-  journal =    "ACM Transactions on Graphics",
-  volume =     "23",
-  number =     "3",
-  pages =      "777--786",
-  month =      aug,
-  year =       "2004",
+@ARTICLE{Marsaglia2003,
+  author = {G. Marsaglia},
+  title = {Xorshift RNGs},
+  journal = {Journal of Statistical Software},
+  year = {2003},
+  volume = {8(14)},
+  pages = {1--6},
+  timestamp = {2009.10.28}
 }
 
 }
 
-
-@article{ch1:CMR:12,
-     author    = "B. Cloutier and B. K. Muite and P. Rigge",
-     title     = "A comparison of CPU and GPU performance for Fourier pseudospectral simulations of the Navier-Stokes, Cubic Nonlinear Schrödinger and Sine Gordon Equations",
-     journal   = "Computational Physics (physics.comp-ph)",
-     year      = "2012",
-     archivePrefix = "arXiv",
-     eprint        = "1206.3215",
-     primaryClass  = "physics.comp-ph",
+@Article{LEcuyerS07,
+  title =      "Test{U01}: {A} {C} library for empirical testing of
+                random number generators",
+  author =     "P. L'Ecuyer and R. J. Simard",
+  journal =    "ACM Trans. Math. Softw",
+  year =       "2007",
+  number =     "4",
+  volume =     "33",
+  bibdate =    "2007-11-06",
+  bibsource =  "DBLP,
+                http://dblp.uni-trier.de/db/journals/toms/toms33.html#LEcuyerS07",
+  URL =        "http://doi.acm.org/10.1145/1268776.1268777",
 }
 
 }
 
+@manual{Nvid10,
+ author = {Nvidia},
+ title = {Cuda cublas library},
+ year = {2011},
+ Note = {Version 4.0},
+ }
 
 
-
+@InProceedings{Jenkins96,
+  author =     "R. J. Jenkins",
+  title =      "{ISAAC}",
+  booktitle =  "IWFSE: International Workshop on Fast Software
+                Encryption, LNCS",
+  year =       "1996",
+}
\ No newline at end of file
index f9f97ae003f83e6339009506964df58810f3dea4..d4decdf100e63b204fd00573909b58f10f65f62a 100644 (file)
@@ -2,46 +2,48 @@
 \@writefile{toc}{\author{Rapha\IeC {\"e}l Couturier}{}}
 \@writefile{toc}{\author{Christophe Guyeux}{}}
 \@writefile{loa}{\addvspace {10\p@ }}
 \@writefile{toc}{\author{Rapha\IeC {\"e}l Couturier}{}}
 \@writefile{toc}{\author{Christophe Guyeux}{}}
 \@writefile{loa}{\addvspace {10\p@ }}
-\@writefile{toc}{\contentsline {chapter}{\numberline {14}Pseudo Random Number Generator on GPU}{305}}
+\@writefile{toc}{\contentsline {chapter}{\numberline {1}Pseudo Random Number Generator on GPU}{3}}
 \@writefile{lof}{\addvspace {10\p@ }}
 \@writefile{lot}{\addvspace {10\p@ }}
 \@writefile{lof}{\addvspace {10\p@ }}
 \@writefile{lot}{\addvspace {10\p@ }}
-\newlabel{chapter18}{{14}{305}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.1}Introduction}{305}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.2}Basic Recalls}{306}}
-\newlabel{section:BASIC RECALLS}{{14.2}{306}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {14.2.1}Devaney's Chaotic Dynamical Systems}{306}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.3}Toward Efficiency and Improvement for CI PRNG}{306}}
-\newlabel{sec:efficient PRNG}{{14.3}{306}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {14.3.1}First Efficient Implementation of a PRNG based on Chaotic Iterations}{306}}
-\newlabel{algo:seqCIPRNG}{{14.1}{306}}
-\@writefile{lol}{\contentsline {lstlisting}{\numberline {14.1}C code of the sequential PRNG based on chaotic iterations}{306}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {14.3.2}Efficient PRNGs based on Chaotic Iterations on GPU}{307}}
-\newlabel{sec:efficient PRNG gpu}{{14.3.2}{307}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {14.3.3}Naive Version for GPU}{307}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {12}{\ignorespaces Main kernel of the GPU ``naive'' version of the PRNG based on chaotic iterations\relax }}{308}}
-\newlabel{algo:gpu_kernel}{{12}{308}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {14.3.4}Improved Version for GPU}{308}}
-\newlabel{IR}{{13}{309}}
-\@writefile{loa}{\contentsline {algocf}{\numberline {13}{\ignorespaces Main kernel for the chaotic iterations based PRNG GPU efficient version\relax }}{309}}
-\newlabel{algo:gpu_kernel2}{{13}{309}}
-\@writefile{toc}{\contentsline {subsection}{\numberline {14.3.5}Chaos Evaluation of the Improved Version}{309}}
-\@writefile{toc}{\contentsline {section}{\numberline {14.4}Experiments}{310}}
-\newlabel{sec:experiments}{{14.4}{310}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.1}{\ignorespaces Quantity of pseudorandom numbers generated per second with the xorlike-based PRNG\relax }}{311}}
-\newlabel{fig:time_xorlike_gpu}{{14.1}{311}}
-\@writefile{lof}{\contentsline {figure}{\numberline {14.2}{\ignorespaces Quantity of pseudorandom numbers generated per second using the BBS-based PRNG\relax }}{312}}
-\newlabel{fig:time_bbs_gpu}{{14.2}{312}}
+\newlabel{chapter18}{{1}{3}}
+\@writefile{toc}{\contentsline {section}{\numberline {1.1}Introduction}{3}}
+\@writefile{toc}{\contentsline {section}{\numberline {1.2}Basic Recalls}{4}}
+\newlabel{section:BASIC RECALLS}{{1.2}{4}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.1}Devaney's Chaotic Dynamical Systems}{5}}
+\@writefile{toc}{\contentsline {section}{\numberline {1.3}Toward Efficiency and Improvement for CI PRNG}{5}}
+\newlabel{sec:efficient PRNG}{{1.3}{5}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {1.3.1}First Efficient Implementation of a PRNG based on Chaotic Iterations}{5}}
+\newlabel{algo:seqCIPRNG}{{1.1}{5}}
+\@writefile{lol}{\contentsline {lstlisting}{\numberline {1.1}C code of the sequential PRNG based on chaotic iterations}{5}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {1.3.2}Efficient PRNGs based on Chaotic Iterations on GPU}{5}}
+\newlabel{sec:efficient PRNG gpu}{{1.3.2}{5}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {1.3.3}Naive Version for GPU}{6}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {1}{\ignorespaces Main kernel of the GPU ``naive'' version of the PRNG based on chaotic iterations\relax }}{6}}
+\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
+\newlabel{algo:gpu_kernel}{{1}{6}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {1.3.4}Improved Version for GPU}{7}}
+\@writefile{toc}{\contentsline {subsection}{\numberline {1.3.5}Chaos Evaluation of the Improved Version}{7}}
+\newlabel{IR}{{2}{8}}
+\@writefile{loa}{\contentsline {algocf}{\numberline {2}{\ignorespaces Main kernel for the chaotic iterations based PRNG GPU efficient version\relax }}{8}}
+\newlabel{algo:gpu_kernel2}{{2}{8}}
+\@writefile{toc}{\contentsline {section}{\numberline {1.4}Experiments}{8}}
+\newlabel{sec:experiments}{{1.4}{8}}
+\@writefile{lof}{\contentsline {figure}{\numberline {1.1}{\ignorespaces Quantity of pseudorandom numbers generated per second with the xorlike-based PRNG\relax }}{9}}
+\newlabel{fig:time_xorlike_gpu}{{1.1}{9}}
+\@writefile{lof}{\contentsline {figure}{\numberline {1.2}{\ignorespaces Quantity of pseudorandom numbers generated per second using the BBS-based PRNG\relax }}{10}}
+\newlabel{fig:time_bbs_gpu}{{1.2}{10}}
+\@writefile{toc}{\contentsline {section}{Bibliography}{11}}
 \@setckpt{Chapters/chapter18/ch18}{
 \@setckpt{Chapters/chapter18/ch18}{
-\setcounter{page}{313}
+\setcounter{page}{12}
 \setcounter{equation}{0}
 \setcounter{equation}{0}
-\setcounter{enumi}{2}
+\setcounter{enumi}{0}
 \setcounter{enumii}{0}
 \setcounter{enumiii}{0}
 \setcounter{enumii}{0}
 \setcounter{enumiii}{0}
-\setcounter{enumiv}{0}
+\setcounter{enumiv}{5}
 \setcounter{footnote}{2}
 \setcounter{mpfootnote}{0}
 \setcounter{part}{1}
 \setcounter{footnote}{2}
 \setcounter{mpfootnote}{0}
 \setcounter{part}{1}
-\setcounter{chapter}{14}
+\setcounter{chapter}{1}
 \setcounter{section}{4}
 \setcounter{subsection}{0}
 \setcounter{subsubsection}{0}
 \setcounter{section}{4}
 \setcounter{subsection}{0}
 \setcounter{subsubsection}{0}
@@ -50,7 +52,7 @@
 \setcounter{figure}{2}
 \setcounter{table}{0}
 \setcounter{numauthors}{0}
 \setcounter{figure}{2}
 \setcounter{table}{0}
 \setcounter{numauthors}{0}
-\setcounter{parentequation}{4}
+\setcounter{parentequation}{0}
 \setcounter{subfigure}{0}
 \setcounter{lofdepth}{1}
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 \setcounter{subfigure}{0}
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 \setcounter{AlgoLine}{14}
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 \setcounter{AlgoLine}{14}
-\setcounter{algocfline}{13}
-\setcounter{algocfproc}{13}
-\setcounter{algocf}{13}
-\setcounter{proposition}{1}
+\setcounter{algocfline}{2}
+\setcounter{algocfproc}{2}
+\setcounter{algocf}{2}
+\setcounter{proposition}{0}
 \setcounter{theorem}{0}
 \setcounter{exercise}{0}
 \setcounter{example}{0}
 \setcounter{definition}{0}
 \setcounter{theorem}{0}
 \setcounter{exercise}{0}
 \setcounter{example}{0}
 \setcounter{definition}{0}
-\setcounter{proof}{1}
+\setcounter{proof}{0}
 \setcounter{lstlisting}{1}
 }
 \setcounter{lstlisting}{1}
 }
index 38089959a3039e9cc6b81232ec7a43ad9c26e9e1..b4401c9e61e4b690d7045b982f6fe3d7a5641ab2 100755 (executable)
@@ -50,7 +50,21 @@ Furthermore, authors of such chaotic generators often claim their PRNG
 as secure due to their chaos properties, but there is no obvious relation
 between chaos and security as it is understood in cryptography.
 This is why the use of chaos for PRNG still remains marginal and disputable.
 as secure due to their chaos properties, but there is no obvious relation
 between chaos and security as it is understood in cryptography.
 This is why the use of chaos for PRNG still remains marginal and disputable.
-
+Let us finish this paragraph by noticing that, in this paper, 
+statistical perfection refers to the ability to pass the whole 
+{\it BigCrush} battery of tests, which is widely considered as the most
+stringent statistical evaluation of a sequence claimed as random.
+This battery can be found in the well-known TestU01 package~\cite{LEcuyerS07}.
+More precisely, each time we performed a test on a PRNG, we ran it
+twice in order to observe if all $p-$values are inside [0.01, 0.99]. In
+fact, we observed that few $p-$values (less than ten) are sometimes
+outside this interval but inside [0.001, 0.999], so that is why a
+second run allows us to confirm that the values outside are not for
+the same test. With this approach all our PRNGs pass the {\it
+  BigCrush} successfully and all $p-$values are at least once inside
+[0.01, 0.99].
+Chaos, for its part, refers to the well-established definition of a
+chaotic dynamical system defined by Devaney~\cite{Devaney}.
 
 The remainder of this paper is organized as follows. 
 A COMPLETER
 
 The remainder of this paper is organized as follows. 
 A COMPLETER
index e3aa930190fa1ada41deffb9c8f6d89735813542..d23f8c598282bb8e83b88226d12c78ef1f008faa 100644 (file)
@@ -5,17 +5,17 @@ all:
        pdflatex ${BOOK}
        pdflatex ${BOOK}
        bibtex bu1
        pdflatex ${BOOK}
        pdflatex ${BOOK}
        bibtex bu1
-       bibtex bu2
-       bibtex bu3
-       bibtex bu4
-       bibtex bu5
-       bibtex bu6
-       bibtex bu7
-       bibtex bu8
-       bibtex bu9
-#don't put chapter 14, refs are included       
-       bibtex bu11     
-#      bibtex bu12
+#      bibtex bu2
+#      bibtex bu3
+#      bibtex bu4
+#      bibtex bu5
+#      bibtex bu6
+#      bibtex bu7
+#      bibtex bu8
+#      bibtex bu9
+# #don't put chapter 14, refs are included     
+#      bibtex bu11     
+#      bibtex bu12
 
        makeindex  ${BOOK}.idx
        pdflatex ${BOOK}
 
        makeindex  ${BOOK}.idx
        pdflatex ${BOOK}