From: couchot Date: Wed, 22 Jun 2016 13:54:46 +0000 (+0200) Subject: resolution conflit X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/16dcc.git/commitdiff_plain/e1fe6e435ee452003a7135763d26e2320756398c resolution conflit --- e1fe6e435ee452003a7135763d26e2320756398c diff --cc main.aux index 0665af7,a426c9e..0000000 deleted file mode 100644,100644 --- a/main.aux +++ /dev/null @@@ -1,132 -1,120 +1,0 @@@ --\relax --\citation{915396,915385,5376454} --\citation{915396,915385} --\citation{5376454} --\citation{Marsaglia1996} --\citation{Nist10} --\citation{LEcuyerS07} --\citation{Devaney} --\select@language{english} --\@writefile{toc}{\select@language{english}} --\@writefile{lof}{\select@language{english}} --\@writefile{lot}{\select@language{english}} --\@writefile{toc}{\contentsline {section}{\tocsection {}{1}{Introduction}}{1}} --\citation{guyeuxTaiwan10,bcgr11:ip} --\citation{wbg10ip} - \citation{DBLP:conf/secrypt/CouchotHGWB14} - \citation{bcgr11:ip} -\citation{chgw14oip} --\citation{bcgr11:ip} -\citation{chgw14oip} -\citation{chgw14oip} --\citation{DBLP:conf/secrypt/CouchotHGWB14} --\@writefile{toc}{\contentsline {section}{\tocsection {}{2}{Preliminaries}}{3}} --\newlabel{sec:preliminaries}{{2}{3}} --\newlabel{eq:asyn}{{1}{3}} - \citation{DBLP:conf/secrypt/CouchotHGWB14} -\citation{bcgr11:ip} --\citation{bcgr11:ip} --\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Iteration Graph $\Gamma (f^*)$ of the function $f^*$\relax }}{4}} --\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}} --\newlabel{fig:iteration:f*}{{1}{4}} --\@writefile{loa}{\contentsline {algocf}{\numberline {1}{\ignorespaces Pseudo Code of the $\chi _{\textit {14Secrypt}}$ PRNG\relax }}{4}} --\newlabel{CI Algorithm}{{1}{4}} --\@writefile{toc}{\contentsline {section}{\tocsection {}{3}{Proof Of Chaos}}{4}} --\newlabel{sec:proofOfChaos}{{3}{4}} - \citation{bcgr11:ip} --\citation{Devaney} --\citation{Banks92} --\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.1}{Devaney's Chaotic Dynamical Systems}}{5}} --\newlabel{subsec:Devaney}{{3.1}{5}} --\newlabel{sensitivity}{{3.5}{5}} --\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.2}{A Metric Space for PRNG Iterations}}{5}} --\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.3}{A metric on $\mathcal {X}_{\mathsf {N},\mathcal {P}}$}}{6}} --\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.4}{$\Gamma _{\mathcal {P}}(f)$ as an extension of $\Gamma (f)$}}{8}} --\newlabel{graphe1}{{2a}{9}} --\newlabel{sub@graphe1}{{a}{9}} --\newlabel{graphe2}{{2b}{9}} --\newlabel{sub@graphe2}{{b}{9}} --\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Iterating $f_0:(x_1,x_2) \DOTSB \mapstochar \rightarrow (\overline {x_1}, \overline {x_2})$\relax }}{9}} --\newlabel{fig:itg}{{2}{9}} --\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{3.5}{Proofs of chaos}}{9}} --\newlabel{prop:trans}{{3.8}{9}} --\citation{bcgr11:ip} --\citation{DBLP:conf/secrypt/CouchotHGWB14} -\@writefile{toc}{\contentsline {section}{\tocsection {}{4}{Functions with Strongly Connected $\Gamma _{\{b\}}(f)$}}{10}} -\newlabel{sec:SCCfunc}{{4}{10}} --\citation{bcgr11:ip} --\citation{Robinson:1981:CS,DBLP:journals/combinatorics/BhatS96,ZanSup04,Bykov2016} --\citation{DBLP:journals/combinatorics/BhatS96,ZanSup04} --\citation{Bykov2016} - \@writefile{toc}{\contentsline {section}{\tocsection {}{4}{Functions with Strongly Connected $\Gamma _{\{b\}}(f)$}}{11}} - \newlabel{sec:SCCfunc}{{4}{11}} - \@writefile{toc}{\contentsline {section}{\tocsection {}{5}{Balanced Hamiltonian Cycle}}{11}} - \newlabel{sec:hamilton}{{5}{11}} --\citation{ZanSup04,DBLP:journals/combinatorics/BhatS96} --\citation{Bykov2016} --\citation{ZanSup04} -\@writefile{toc}{\contentsline {section}{\tocsection {}{5}{(Locally) Balanced Hamiltonian Cycle}}{11}} -\newlabel{sec:hamilton}{{5}{11}} --\citation{Robinson:1981:CS} --\citation{DBLP:journals/combinatorics/BhatS96} --\citation{ZanSup04} --\citation{Robinson:1981:CS} --\citation{DBLP:journals/combinatorics/BhatS96} -\citation{ZanSup04} --\citation{ZanSup04} --\citation{ZanSup04} --\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.1}{Analysis of the Robinson-Cohn extension algorithm}}{12}} --\newlabel{item:nondet}{{1}{12}} - \citation{ZanSup04} - \newlabel{item:u'}{{2}{13}} - \newlabel{item:VW}{{3}{13}} --\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.2}{Balanced Codes}}{13}} --\newlabel{prop:balanced}{{5.1}{13}} - \newlabel{eq:sys:zt1}{{3}{14}} - \newlabel{eq:sys:zt2}{{4}{14}} - \newlabel{eq:TCN:def}{{5}{15}} - \@writefile{toc}{\contentsline {section}{\tocsection {}{6}{Stopping Time}}{15}} - \newlabel{sec:hypercube}{{6}{15}} --\citation{LevinPeresWilmer2006} - \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{6.1}{Formalizing the Random Walk}}{16}} - \newlabel{sub:stop:formal}{{6.1}{16}} - \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{6.2}{Upper bound of Stopping Time}}{17}} - \newlabel{sub:stop:bound}{{6.2}{17}} - \newlabel{eq:Markov:rairo}{{6}{17}} - \newlabel{lm:h}{{6.2}{17}} - \newlabel{prop:stop}{{6.4}{18}} - \newlabel{prop:lambda}{{6.5}{18}} -\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.3}{Toward a local uniform distribution of switches}}{14}} -\@writefile{toc}{\contentsline {section}{\tocsection {}{6}{Stopping Time}}{14}} -\newlabel{sec:hypercube}{{6}{14}} -\newlabel{thm-sst}{{6.1}{15}} -\newlabel{eq:Markov:rairo}{{3}{15}} -\newlabel{lm:h}{{6.2}{16}} -\newlabel{prop:stop}{{6.4}{16}} -\newlabel{prop:lambda}{{6.5}{16}} --\citation{proba} - \newlabel{lm:stopprime}{{6.6}{19}} - \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{6.3}{Practical Evaluation of Stopping Times}}{20}} - \newlabel{sub:stop:exp}{{6.3}{20}} - \@writefile{loa}{\contentsline {algocf}{\numberline {2}{\ignorespaces Pseudo Code of the stoping time calculus\relax }}{20}} - \newlabel{algo:stop}{{2}{20}} - \@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Average Stopping Time\relax }}{21}} - \newlabel{table:stopping:moy}{{1}{21}} - \@writefile{toc}{\contentsline {section}{\tocsection {}{7}{Experiments}}{21}} - \newlabel{sec:prng}{{7}{21}} - \@writefile{loa}{\contentsline {algocf}{\numberline {3}{\ignorespaces Pseudo Code of the $\chi _{\textit {15Rairo}}$ PRNG\relax }}{21}} - \newlabel{CI Algorithm:2}{{3}{21}} - \@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces Functions with DSCC Matrix and smallest MT\relax }}{22}} - \newlabel{table:nc}{{2}{22}} -\newlabel{lm:stopprime}{{6.6}{17}} -\@writefile{toc}{\contentsline {section}{\tocsection {}{7}{Experiments}}{18}} -\newlabel{sec:prng}{{7}{18}} -\@writefile{loa}{\contentsline {algocf}{\numberline {2}{\ignorespaces Pseudo Code of the $\chi _{\textit {15Rairo}}$ PRNG\relax }}{18}} -\newlabel{CI Algorithm:2}{{2}{18}} -\@writefile{toc}{\contentsline {section}{\tocsection {}{8}{Conclusion}}{19}} --\bibstyle{alpha} --\bibdata{biblio} --\bibcite{Banks92}{BBCS92} - \@writefile{lot}{\contentsline {table}{\numberline {3}{\ignorespaces NIST SP 800-22 test results ($\mathbb {P}_T$)\relax }}{23}} - \newlabel{The passing rate}{{3}{23}} - \@writefile{toc}{\contentsline {section}{\tocsection {}{8}{Conclusion}}{23}} --\bibcite{bcgr11:ip}{BCGR11} --\bibcite{Nist10}{BR10} --\bibcite{DBLP:journals/combinatorics/BhatS96}{BS96} -\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Functions with DSCC Matrix and smallest MT\relax }}{20}} -\newlabel{table:nc}{{1}{20}} -\@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{20}} --\bibcite{Bykov2016}{Byk16} - \bibcite{DBLP:conf/secrypt/CouchotHGWB14}{CHG{$^{+}$}14} -\bibcite{chgw14oip}{CHG{$^{+}$}14a} -\bibcite{DBLP:conf/secrypt/CouchotHGWB14}{CHG{$^{+}$}14b} --\bibcite{5376454}{CMZ09} --\bibcite{Devaney}{Dev89} --\bibcite{guyeuxTaiwan10}{GWB10} --\bibcite{LevinPeresWilmer2006}{LPW06} --\bibcite{LEcuyerS07}{LS07} --\bibcite{Marsaglia1996}{Mar96} --\bibcite{proba}{MU05} -\@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces NIST SP 800-22 test results ($\mathbb {P}_T$)\relax }}{21}} -\newlabel{The passing rate}{{2}{21}} --\bibcite{Robinson:1981:CS}{RC81} --\bibcite{915385}{SK01} --\bibcite{915396}{SPK01} --\bibcite{ZanSup04}{SZ04} --\bibcite{wbg10ip}{WBGF10} --\newlabel{tocindent-1}{0pt} --\newlabel{tocindent0}{12.77466pt} --\newlabel{tocindent1}{17.77344pt} --\newlabel{tocindent2}{25.54932pt} --\newlabel{tocindent3}{0pt} - \@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{24}} diff --cc main.blg index 20a34ec,d3e8eb8..0000000 deleted file mode 100644,100644 --- a/main.blg +++ /dev/null @@@ -1,46 -1,46 +1,0 @@@ - This is BibTeX, Version 0.99d (TeX Live 2015/Debian) -This is BibTeX, Version 0.99d (TeX Live 2013/Debian) --Capacity: max_strings=35307, hash_size=35307, hash_prime=30011 --The top-level auxiliary file: main.aux --The style file: alpha.bst --Database file #1: biblio.bib - You've used 18 entries, -You've used 19 entries, -- 2543 wiz_defined-function locations, - 690 strings with 7823 characters, - and the built_in function-call counts, 7931 in all, are: - = -- 798 - > -- 396 - < -- 11 - + -- 138 - - -- 136 - * -- 586 - := -- 1285 - add.period$ -- 58 - call.type$ -- 18 - change.case$ -- 116 - 695 strings with 8037 characters, -and the built_in function-call counts, 8579 in all, are: -= -- 865 -> -- 431 -< -- 12 -+ -- 152 -- -- 149 -* -- 635 -:= -- 1386 -add.period$ -- 62 -call.type$ -- 19 -change.case$ -- 125 --chr.to.int$ -- 18 - cite$ -- 18 - duplicate$ -- 312 - empty$ -- 562 - format.name$ -- 156 - if$ -- 1651 - int.to.chr$ -- 1 -cite$ -- 19 -duplicate$ -- 338 -empty$ -- 604 -format.name$ -- 169 -if$ -- 1790 -int.to.chr$ -- 2 --int.to.str$ -- 0 - missing$ -- 20 - newline$ -- 94 - num.names$ -- 56 - pop$ -- 109 -missing$ -- 21 -newline$ -- 100 -num.names$ -- 59 -pop$ -- 119 --preamble$ -- 1 - purify$ -- 136 -purify$ -- 146 --quote$ -- 0 - skip$ -- 279 -skip$ -- 299 --stack$ -- 0 - substring$ -- 424 - swap$ -- 70 - text.length$ -- 11 -substring$ -- 463 -swap$ -- 80 -text.length$ -- 12 --text.prefix$ -- 3 --top$ -- 0 - type$ -- 132 -type$ -- 140 --warning$ -- 0 - while$ -- 74 - width$ -- 19 - write$ -- 243 -while$ -- 80 -width$ -- 21 -write$ -- 259 diff --cc main.log index bc723c5,633dfbf..0000000 deleted file mode 100644,100644 --- a/main.log +++ /dev/null @@@ -1,1600 -1,1415 +1,0 @@@ - This is pdfTeX, Version 3.14159265-2.6-1.40.16 (TeX Live 2015/Debian) (preloaded format=pdflatex 2016.5.31) 22 JUN 2016 11:08 -This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013/Debian) (format=pdflatex 2014.6.13) 22 JUN 2016 14:44 --entering extended mode -- restricted \write18 enabled. -- %&-line parsing enabled. --**main.tex --(./main.tex - LaTeX2e <2016/02/01> - Babel <3.9q> and hyphenation patterns for 5 language(s) loaded. -LaTeX2e <2011/06/27> -Babel <3.9h> and hyphenation patterns for 78 languages loaded. --(./ita.cls --Document Class: ita 1999/03/01 v1.1 EDP-Sciences --(/usr/share/texlive/texmf-dist/tex/latex/amscls/amsart.cls - Document Class: amsart 2015/03/04 v2.20.2 -Document Class: amsart 2009/07/02 v2.20.1 --\linespacing=\dimen102 --\normalparindent=\dimen103 --\normaltopskip=\skip41 --(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty - Package: amsmath 2016/03/03 v2.15a AMS math features -Package: amsmath 2013/01/14 v2.14 AMS math features --\@mathmargin=\skip42 -- --For additional information on amsmath, use the `?' option. --(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty - Package: amstext 2000/06/29 v2.01 AMS text -Package: amstext 2000/06/29 v2.01 -- --(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty - File: amsgen.sty 1999/11/30 v2.0 generic functions -File: amsgen.sty 1999/11/30 v2.0 --\@emptytoks=\toks14 --\ex@=\dimen104 --)) --(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty - Package: amsbsy 1999/11/29 v1.2d Bold Symbols -Package: amsbsy 1999/11/29 v1.2d --\pmbraise@=\dimen105 --) --(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty --Package: amsopn 1999/12/14 v2.01 operator names --) --\inf@bad=\count79 - LaTeX Info: Redefining \frac on input line 199. -LaTeX Info: Redefining \frac on input line 210. --\uproot@=\count80 --\leftroot@=\count81 - LaTeX Info: Redefining \overline on input line 297. -LaTeX Info: Redefining \overline on input line 306. --\classnum@=\count82 --\DOTSCASE@=\count83 - LaTeX Info: Redefining \ldots on input line 394. - LaTeX Info: Redefining \dots on input line 397. - LaTeX Info: Redefining \cdots on input line 518. -LaTeX Info: Redefining \ldots on input line 378. -LaTeX Info: Redefining \dots on input line 381. -LaTeX Info: Redefining \cdots on input line 466. --\Mathstrutbox@=\box26 --\strutbox@=\box27 --\big@size=\dimen106 - LaTeX Font Info: Redeclaring font encoding OML on input line 630. - LaTeX Font Info: Redeclaring font encoding OMS on input line 631. -LaTeX Font Info: Redeclaring font encoding OML on input line 566. -LaTeX Font Info: Redeclaring font encoding OMS on input line 567. --\macc@depth=\count84 --\c@MaxMatrixCols=\count85 --\dotsspace@=\muskip10 --\c@parentequation=\count86 --\dspbrk@lvl=\count87 --\tag@help=\toks15 --\row@=\count88 --\column@=\count89 --\maxfields@=\count90 --\andhelp@=\toks16 --\eqnshift@=\dimen107 --\alignsep@=\dimen108 --\tagshift@=\dimen109 --\tagwidth@=\dimen110 --\totwidth@=\dimen111 --\lineht@=\dimen112 --\@envbody=\toks17 --\multlinegap=\skip43 --\multlinetaggap=\skip44 --\mathdisplay@stack=\toks18 - LaTeX Info: Redefining \[ on input line 2735. - LaTeX Info: Redefining \] on input line 2736. -LaTeX Info: Redefining \[ on input line 2665. -LaTeX Info: Redefining \] on input line 2666. --) --LaTeX Font Info: Try loading font information for U+msa on input line 388. -- --(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd --File: umsa.fd 2013/01/14 v3.01 AMS symbols A --) --(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amsfonts.sty --Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support --\symAMSa=\mathgroup4 --\symAMSb=\mathgroup5 --LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' --(Font) U/euf/m/n --> U/euf/b/n on input line 106. --) - \copyins=\insert199 -\copyins=\insert233 --\abstractbox=\box28 --\listisep=\skip45 --\c@part=\count91 --\c@section=\count92 --\c@subsection=\count93 --\c@subsubsection=\count94 --\c@paragraph=\count95 --\c@subparagraph=\count96 --\c@figure=\count97 --\c@table=\count98 --\abovecaptionskip=\skip46 --\belowcaptionskip=\skip47 --\captionindent=\dimen113 --\thm@style=\toks19 --\thm@bodyfont=\toks20 --\thm@headfont=\toks21 --\thm@notefont=\toks22 --\thm@headpunct=\toks23 --\thm@preskip=\skip48 --\thm@postskip=\skip49 --\thm@headsep=\skip50 --\dth@everypar=\toks24 --) --(/usr/share/texlive/texmf-dist/tex/latex/cite/cite.sty --LaTeX Info: Redefining \cite on input line 302. - LaTeX Info: Redefining \nocite on input line 332. - Package: cite 2015/02/27 v 5.5 -LaTeX Info: Redefining \nocite on input line 373. -Package: cite 2010/09/10 v 5.3 --) --\@b@rnngttl=\box29 --\@b@rnngthr=\box30 --\@c@thr@=\count99 --\@y=\count100 --\@x=\count101 --\@b@kwrds=\box31 --\resumebox=\box32 --\abstractbox=\box33 --\@c@ddrss@=\count102 --\@b@ddrss@=\box34 --\@c@thnks@=\count103 --\@b@thnks@=\box35 --\c@thrm=\count104 --) --(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphicx.sty - Package: graphicx 2014/10/28 v1.0g Enhanced LaTeX Graphics (DPC,SPQR) -Package: graphicx 1999/02/16 v1.0f Enhanced LaTeX Graphics (DPC,SPQR) -- --(/usr/share/texlive/texmf-dist/tex/latex/graphics/keyval.sty - Package: keyval 2014/10/28 v1.15 key=value parser (DPC) -Package: keyval 1999/03/16 v1.13 key=value parser (DPC) --\KV@toks@=\toks25 --) --(/usr/share/texlive/texmf-dist/tex/latex/graphics/graphics.sty - Package: graphics 2016/01/03 v1.0q Standard LaTeX Graphics (DPC,SPQR) -Package: graphics 2009/02/05 v1.0o Standard LaTeX Graphics (DPC,SPQR) -- --(/usr/share/texlive/texmf-dist/tex/latex/graphics/trig.sty - Package: trig 2016/01/03 v1.10 sin cos tan (DPC) -Package: trig 1999/03/16 v1.09 sin cos tan (DPC) --) --(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/graphics.cfg --File: graphics.cfg 2010/04/23 v1.9 graphics configuration of TeX Live --) - Package graphics Info: Driver file: pdftex.def on input line 95. -Package graphics Info: Driver file: pdftex.def on input line 91. -- --(/usr/share/texlive/texmf-dist/tex/latex/pdftex-def/pdftex.def --File: pdftex.def 2011/05/27 v0.06d Graphics/color for pdfTeX -- --(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/infwarerr.sty --Package: infwarerr 2010/04/08 v1.3 Providing info/warning/error messages (HO) --) --(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ltxcmds.sty --Package: ltxcmds 2011/11/09 v1.22 LaTeX kernel commands for general use (HO) --) --\Gread@gobject=\count105 --)) --\Gin@req@height=\dimen114 --\Gin@req@width=\dimen115 --) --(/usr/share/texlive/texmf-dist/tex/latex/caption/caption.sty - Package: caption 2016/02/21 v3.3-144 Customizing captions (AR) -Package: caption 2013/05/02 v3.3-89 Customizing captions (AR) -- --(/usr/share/texlive/texmf-dist/tex/latex/caption/caption3.sty - Package: caption3 2016/02/04 v1.7-139 caption3 kernel (AR) - Package caption3 Info: TeX engine: e-TeX on input line 67. -Package: caption3 2013/05/02 v1.6-88 caption3 kernel (AR) -Package caption3 Info: TeX engine: e-TeX on input line 57. --\captionmargin=\dimen116 --\captionmargin@=\dimen117 --\captionwidth=\dimen118 --\caption@tempdima=\dimen119 --\caption@indent=\dimen120 --\caption@parindent=\dimen121 --\caption@hangindent=\dimen122 --) --Package caption Info: AMS or SMF document class. --\c@ContinuedFloat=\count106 --) --(/usr/share/texlive/texmf-dist/tex/latex/caption/subcaption.sty - Package: subcaption 2016/02/20 v1.1-142 Sub-captions (AR) -Package: subcaption 2013/02/03 v1.1-62 Sub-captions (AR) --\c@subfigure=\count107 --\c@subtable=\count108 --) --(/usr/share/texlive/texmf-dist/tex/latex/doublestroke/dsfont.sty --Package: dsfont 1995/08/01 v0.1 Double stroke roman fonts --) --(/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/stmaryrd.sty --Package: stmaryrd 1994/03/03 St Mary's Road symbol package --\symstmry=\mathgroup6 --LaTeX Font Info: Overwriting symbol font `stmry' in version `bold' --(Font) U/stmry/m/n --> U/stmry/b/n on input line 89. --) --(/usr/share/texlive/texmf-dist/tex/latex/base/ifthen.sty - Package: ifthen 2014/09/29 v1.1c Standard LaTeX ifthen package (DPC) -Package: ifthen 2001/05/26 v1.1c Standard LaTeX ifthen package (DPC) --) --(/usr/share/texlive/texmf-dist/tex/latex/graphics/color.sty - Package: color 2016/01/03 v1.1b Standard LaTeX Color (DPC) -Package: color 2005/11/14 v1.0j Standard LaTeX Color (DPC) -- --(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg --File: color.cfg 2007/01/18 v1.5 color configuration of teTeX/TeXLive --) - Package color Info: Driver file: pdftex.def on input line 143. -Package color Info: Driver file: pdftex.def on input line 130. --) --(/usr/share/texlive/texmf-dist/tex/latex/algorithm2e/algorithm2e.sty --Package: algorithm2e 2013/01/06 v5.00 algorithms environments --\c@AlgoLine=\count109 - \algocf@hangindent=\skip51 -- --(/usr/share/texlive/texmf-dist/tex/latex/tools/xspace.sty - Package: xspace 2014/10/28 v1.13 Space after command names (DPC,MH) -Package: xspace 2009/10/20 v1.13 Space after command names (DPC,MH) --) --(/usr/share/texlive/texmf-dist/tex/latex/relsize/relsize.sty --Package: relsize 2013/03/29 ver 4.1 --LaTeX Info: Redefining \larger on input line 150. --LaTeX Info: Redefining \smaller on input line 151. --) --******************************************************** - Package `algorithm2e' Release 5.1 -- october 19 2015 -- -Package `algorithm2e' Release 5.0 -- january 06 2013 -- --- algorithm2e-announce@lirmm.fr mailing list for announcement about releases --- algorithm2e-discussion@lirmm.fr mailing list for discussion about package --subscribe by emailing sympa@lirmm.fr with 'subscribe ' - - Author: Christophe Fiorio (christophe.fiorio@umontpellier.fr) -- Author: Christophe Fiorio (cfiorio@um2.fr) --******************************************************** - \skiptotal=\skip52 - \skiplinenumber=\skip53 - \skiprule=\skip54 - \skiphlne=\skip55 - \skiptext=\skip56 - \skiplength=\skip57 - \algomargin=\skip58 - \skipalgocfslide=\skip59 -\skiptotal=\skip51 -\skiplinenumber=\skip52 -\skiprule=\skip53 -\skiphlne=\skip54 -\skiptext=\skip55 -\skiplength=\skip56 -\algomargin=\skip57 -\skipalgocfslide=\skip58 --\algowidth=\dimen123 --\inoutsize=\dimen124 --\inoutindent=\dimen125 --\interspacetitleruled=\dimen126 --\interspacealgoruled=\dimen127 --\interspacetitleboxruled=\dimen128 - \algocf@ruledwidth=\skip60 --\algocf@inoutbox=\box36 --\algocf@inputbox=\box37 - \AlCapSkip=\skip61 - \AlCapHSkip=\skip62 - \algoskipindent=\skip63 -\AlCapSkip=\skip59 -\AlCapHSkip=\skip60 -\algoskipindent=\skip61 --\algocf@nlbox=\box38 --\algocf@hangingbox=\box39 --\algocf@untilbox=\box40 - \algocf@skipuntil=\skip64 -\algocf@skipuntil=\skip62 --\algocf@capbox=\box41 - \algoheightruledefault=\skip65 - \algoheightrule=\skip66 - \algotitleheightruledefault=\skip67 - \algotitleheightrule=\skip68 -\algoheightruledefault=\skip63 -\algoheightrule=\skip64 -\algotitleheightruledefault=\skip65 -\algotitleheightrule=\skip66 --\c@algocfline=\count110 --\c@algocfproc=\count111 --\c@algocf=\count112 --\algocf@algoframe=\box42 --\algocf@algobox=\box43 --) (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/epstopdf.sty --Package: epstopdf 2010/02/09 v2.5 Conversion with epstopdf on the fly (HO) -- --(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/epstopdf-base.sty --Package: epstopdf-base 2010/02/09 v2.5 Base part for package epstopdf -- --(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/grfext.sty --Package: grfext 2010/08/19 v1.1 Manage graphics extensions (HO) -- --(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/kvdefinekeys.sty --Package: kvdefinekeys 2011/04/07 v1.3 Define keys (HO) --)) --(/usr/share/texlive/texmf-dist/tex/latex/oberdiek/kvoptions.sty --Package: kvoptions 2011/06/30 v3.11 Key value format for package options (HO) -- --(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/kvsetkeys.sty --Package: kvsetkeys 2012/04/25 v1.16 Key value parser (HO) -- --(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/etexcmds.sty --Package: etexcmds 2011/02/16 v1.5 Avoid name clashes with e-TeX commands (HO) -- --(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ifluatex.sty --Package: ifluatex 2010/03/01 v1.3 Provides the ifluatex switch (HO) --Package ifluatex Info: LuaTeX not detected. --) --Package etexcmds Info: Could not find \expanded. --(etexcmds) That can mean that you are not using pdfTeX 1.50 or --(etexcmds) that some package has redefined \expanded. --(etexcmds) In the latter case, load this package earlier. --))) --(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/pdftexcmds.sty --Package: pdftexcmds 2011/11/29 v0.20 Utility functions of pdfTeX for LuaTeX (HO --) -- --(/usr/share/texlive/texmf-dist/tex/generic/oberdiek/ifpdf.sty --Package: ifpdf 2011/01/30 v2.3 Provides the ifpdf switch (HO) --Package ifpdf Info: pdfTeX in PDF mode is detected. --) --Package pdftexcmds Info: LuaTeX not detected. --Package pdftexcmds Info: \pdf@primitive is available. --Package pdftexcmds Info: \pdf@ifprimitive is available. --Package pdftexcmds Info: \pdfdraftmode found. --) --Package grfext Info: Graphics extension search list: --(grfext) [.png,.pdf,.jpg,.mps,.jpeg,.jbig2,.jb2,.PNG,.PDF,.JPG,.JPE --G,.JBIG2,.JB2,.eps] --(grfext) \AppendGraphicsExtensions on input line 452. -- --(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg --File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv --e --))) --(/usr/share/texlive/texmf-dist/tex/latex/base/inputenc.sty - Package: inputenc 2015/03/17 v1.2c Input encoding file -Package: inputenc 2008/03/30 v1.1d Input encoding file --\inpenc@prehook=\toks26 --\inpenc@posthook=\toks27 -- --(/usr/share/texlive/texmf-dist/tex/latex/base/utf8.def - File: utf8.def 2015/12/03 v1.1r UTF-8 support for inputenc -File: utf8.def 2008/04/05 v1.1m UTF-8 support for inputenc --Now handling font encoding OML ... --... no UTF-8 mapping file for font encoding OML --Now handling font encoding T1 ... --... processing UTF-8 mapping file for font encoding T1 -- --(/usr/share/texlive/texmf-dist/tex/latex/base/t1enc.dfu - File: t1enc.dfu 2015/12/03 v1.1r UTF-8 support for inputenc - defining Unicode char U+00A0 (decimal 160) -File: t1enc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc -- defining Unicode char U+00A1 (decimal 161) -- defining Unicode char U+00A3 (decimal 163) -- defining Unicode char U+00AB (decimal 171) - defining Unicode char U+00AD (decimal 173) -- defining Unicode char U+00BB (decimal 187) -- defining Unicode char U+00BF (decimal 191) -- defining Unicode char U+00C0 (decimal 192) -- defining Unicode char U+00C1 (decimal 193) -- defining Unicode char U+00C2 (decimal 194) -- defining Unicode char U+00C3 (decimal 195) -- defining Unicode char U+00C4 (decimal 196) -- defining Unicode char U+00C5 (decimal 197) -- defining Unicode char U+00C6 (decimal 198) -- defining Unicode char U+00C7 (decimal 199) -- defining Unicode char U+00C8 (decimal 200) -- defining Unicode char U+00C9 (decimal 201) -- defining Unicode char U+00CA (decimal 202) -- defining Unicode char U+00CB (decimal 203) -- defining Unicode char U+00CC (decimal 204) -- defining Unicode char U+00CD (decimal 205) -- defining Unicode char U+00CE (decimal 206) -- defining Unicode char U+00CF (decimal 207) -- defining Unicode char U+00D0 (decimal 208) -- defining Unicode char U+00D1 (decimal 209) -- defining Unicode char U+00D2 (decimal 210) -- defining Unicode char U+00D3 (decimal 211) -- defining Unicode char U+00D4 (decimal 212) -- defining Unicode char U+00D5 (decimal 213) -- defining Unicode char U+00D6 (decimal 214) -- defining Unicode char U+00D8 (decimal 216) -- defining Unicode char U+00D9 (decimal 217) -- defining Unicode char U+00DA (decimal 218) -- defining Unicode char U+00DB (decimal 219) -- defining Unicode char U+00DC (decimal 220) -- defining Unicode char U+00DD (decimal 221) -- defining Unicode char U+00DE (decimal 222) -- defining Unicode char U+00DF (decimal 223) -- defining Unicode char U+00E0 (decimal 224) -- defining Unicode char U+00E1 (decimal 225) -- defining Unicode char U+00E2 (decimal 226) -- defining Unicode char U+00E3 (decimal 227) -- defining Unicode char U+00E4 (decimal 228) -- defining Unicode char U+00E5 (decimal 229) -- defining Unicode char U+00E6 (decimal 230) -- defining Unicode char U+00E7 (decimal 231) -- defining Unicode char U+00E8 (decimal 232) -- defining Unicode char U+00E9 (decimal 233) -- defining Unicode char U+00EA (decimal 234) -- defining Unicode char U+00EB (decimal 235) -- defining Unicode char U+00EC (decimal 236) -- defining Unicode char U+00ED (decimal 237) -- defining Unicode char U+00EE (decimal 238) -- defining Unicode char U+00EF (decimal 239) -- defining Unicode char U+00F0 (decimal 240) -- defining Unicode char U+00F1 (decimal 241) -- defining Unicode char U+00F2 (decimal 242) -- defining Unicode char U+00F3 (decimal 243) -- defining Unicode char U+00F4 (decimal 244) -- defining Unicode char U+00F5 (decimal 245) -- defining Unicode char U+00F6 (decimal 246) -- defining Unicode char U+00F8 (decimal 248) -- defining Unicode char U+00F9 (decimal 249) -- defining Unicode char U+00FA (decimal 250) -- defining Unicode char U+00FB (decimal 251) -- defining Unicode char U+00FC (decimal 252) -- defining Unicode char U+00FD (decimal 253) -- defining Unicode char U+00FE (decimal 254) -- defining Unicode char U+00FF (decimal 255) - defining Unicode char U+0100 (decimal 256) - defining Unicode char U+0101 (decimal 257) -- defining Unicode char U+0102 (decimal 258) -- defining Unicode char U+0103 (decimal 259) -- defining Unicode char U+0104 (decimal 260) -- defining Unicode char U+0105 (decimal 261) -- defining Unicode char U+0106 (decimal 262) -- defining Unicode char U+0107 (decimal 263) - defining Unicode char U+0108 (decimal 264) - defining Unicode char U+0109 (decimal 265) - defining Unicode char U+010A (decimal 266) - defining Unicode char U+010B (decimal 267) -- defining Unicode char U+010C (decimal 268) -- defining Unicode char U+010D (decimal 269) -- defining Unicode char U+010E (decimal 270) -- defining Unicode char U+010F (decimal 271) -- defining Unicode char U+0110 (decimal 272) -- defining Unicode char U+0111 (decimal 273) - defining Unicode char U+0112 (decimal 274) - defining Unicode char U+0113 (decimal 275) - defining Unicode char U+0114 (decimal 276) - defining Unicode char U+0115 (decimal 277) - defining Unicode char U+0116 (decimal 278) - defining Unicode char U+0117 (decimal 279) -- defining Unicode char U+0118 (decimal 280) -- defining Unicode char U+0119 (decimal 281) -- defining Unicode char U+011A (decimal 282) -- defining Unicode char U+011B (decimal 283) - defining Unicode char U+011C (decimal 284) - defining Unicode char U+011D (decimal 285) -- defining Unicode char U+011E (decimal 286) -- defining Unicode char U+011F (decimal 287) - defining Unicode char U+0120 (decimal 288) - defining Unicode char U+0121 (decimal 289) - defining Unicode char U+0122 (decimal 290) - defining Unicode char U+0123 (decimal 291) - defining Unicode char U+0124 (decimal 292) - defining Unicode char U+0125 (decimal 293) - defining Unicode char U+0128 (decimal 296) - defining Unicode char U+0129 (decimal 297) - defining Unicode char U+012A (decimal 298) - defining Unicode char U+012B (decimal 299) - defining Unicode char U+012C (decimal 300) - defining Unicode char U+012D (decimal 301) - defining Unicode char U+012E (decimal 302) - defining Unicode char U+012F (decimal 303) -- defining Unicode char U+0130 (decimal 304) -- defining Unicode char U+0131 (decimal 305) -- defining Unicode char U+0132 (decimal 306) -- defining Unicode char U+0133 (decimal 307) - defining Unicode char U+0134 (decimal 308) - defining Unicode char U+0135 (decimal 309) - defining Unicode char U+0136 (decimal 310) - defining Unicode char U+0137 (decimal 311) -- defining Unicode char U+0139 (decimal 313) -- defining Unicode char U+013A (decimal 314) - defining Unicode char U+013B (decimal 315) - defining Unicode char U+013C (decimal 316) -- defining Unicode char U+013D (decimal 317) -- defining Unicode char U+013E (decimal 318) -- defining Unicode char U+0141 (decimal 321) -- defining Unicode char U+0142 (decimal 322) -- defining Unicode char U+0143 (decimal 323) -- defining Unicode char U+0144 (decimal 324) - defining Unicode char U+0145 (decimal 325) - defining Unicode char U+0146 (decimal 326) -- defining Unicode char U+0147 (decimal 327) -- defining Unicode char U+0148 (decimal 328) -- defining Unicode char U+014A (decimal 330) -- defining Unicode char U+014B (decimal 331) - defining Unicode char U+014C (decimal 332) - defining Unicode char U+014D (decimal 333) - defining Unicode char U+014E (decimal 334) - defining Unicode char U+014F (decimal 335) -- defining Unicode char U+0150 (decimal 336) -- defining Unicode char U+0151 (decimal 337) -- defining Unicode char U+0152 (decimal 338) -- defining Unicode char U+0153 (decimal 339) -- defining Unicode char U+0154 (decimal 340) -- defining Unicode char U+0155 (decimal 341) - defining Unicode char U+0156 (decimal 342) - defining Unicode char U+0157 (decimal 343) -- defining Unicode char U+0158 (decimal 344) -- defining Unicode char U+0159 (decimal 345) -- defining Unicode char U+015A (decimal 346) -- defining Unicode char U+015B (decimal 347) - defining Unicode char U+015C (decimal 348) - defining Unicode char U+015D (decimal 349) -- defining Unicode char U+015E (decimal 350) -- defining Unicode char U+015F (decimal 351) -- defining Unicode char U+0160 (decimal 352) -- defining Unicode char U+0161 (decimal 353) -- defining Unicode char U+0162 (decimal 354) -- defining Unicode char U+0163 (decimal 355) -- defining Unicode char U+0164 (decimal 356) -- defining Unicode char U+0165 (decimal 357) - defining Unicode char U+0168 (decimal 360) - defining Unicode char U+0169 (decimal 361) - defining Unicode char U+016A (decimal 362) - defining Unicode char U+016B (decimal 363) - defining Unicode char U+016C (decimal 364) - defining Unicode char U+016D (decimal 365) -- defining Unicode char U+016E (decimal 366) -- defining Unicode char U+016F (decimal 367) -- defining Unicode char U+0170 (decimal 368) -- defining Unicode char U+0171 (decimal 369) - defining Unicode char U+0172 (decimal 370) - defining Unicode char U+0173 (decimal 371) - defining Unicode char U+0174 (decimal 372) - defining Unicode char U+0175 (decimal 373) - defining Unicode char U+0176 (decimal 374) - defining Unicode char U+0177 (decimal 375) -- defining Unicode char U+0178 (decimal 376) -- defining Unicode char U+0179 (decimal 377) -- defining Unicode char U+017A (decimal 378) -- defining Unicode char U+017B (decimal 379) -- defining Unicode char U+017C (decimal 380) -- defining Unicode char U+017D (decimal 381) -- defining Unicode char U+017E (decimal 382) - defining Unicode char U+01CD (decimal 461) - defining Unicode char U+01CE (decimal 462) - defining Unicode char U+01CF (decimal 463) - defining Unicode char U+01D0 (decimal 464) - defining Unicode char U+01D1 (decimal 465) - defining Unicode char U+01D2 (decimal 466) - defining Unicode char U+01D3 (decimal 467) - defining Unicode char U+01D4 (decimal 468) - defining Unicode char U+01E2 (decimal 482) - defining Unicode char U+01E3 (decimal 483) - defining Unicode char U+01E6 (decimal 486) - defining Unicode char U+01E7 (decimal 487) - defining Unicode char U+01E8 (decimal 488) - defining Unicode char U+01E9 (decimal 489) - defining Unicode char U+01EA (decimal 490) - defining Unicode char U+01EB (decimal 491) - defining Unicode char U+01F0 (decimal 496) - defining Unicode char U+01F4 (decimal 500) - defining Unicode char U+01F5 (decimal 501) - defining Unicode char U+0218 (decimal 536) - defining Unicode char U+0219 (decimal 537) - defining Unicode char U+021A (decimal 538) - defining Unicode char U+021B (decimal 539) - defining Unicode char U+01E02 (decimal 7682) - defining Unicode char U+01E03 (decimal 7683) -- defining Unicode char U+200C (decimal 8204) -- defining Unicode char U+2013 (decimal 8211) -- defining Unicode char U+2014 (decimal 8212) -- defining Unicode char U+2018 (decimal 8216) -- defining Unicode char U+2019 (decimal 8217) -- defining Unicode char U+201A (decimal 8218) -- defining Unicode char U+201C (decimal 8220) -- defining Unicode char U+201D (decimal 8221) -- defining Unicode char U+201E (decimal 8222) -- defining Unicode char U+2030 (decimal 8240) -- defining Unicode char U+2031 (decimal 8241) -- defining Unicode char U+2039 (decimal 8249) -- defining Unicode char U+203A (decimal 8250) -- defining Unicode char U+2423 (decimal 9251) --) --Now handling font encoding OT1 ... --... processing UTF-8 mapping file for font encoding OT1 -- --(/usr/share/texlive/texmf-dist/tex/latex/base/ot1enc.dfu - File: ot1enc.dfu 2015/12/03 v1.1r UTF-8 support for inputenc - defining Unicode char U+00A0 (decimal 160) -File: ot1enc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc -- defining Unicode char U+00A1 (decimal 161) -- defining Unicode char U+00A3 (decimal 163) - defining Unicode char U+00AD (decimal 173) -- defining Unicode char U+00B8 (decimal 184) -- defining Unicode char U+00BF (decimal 191) -- defining Unicode char U+00C5 (decimal 197) -- defining Unicode char U+00C6 (decimal 198) -- defining Unicode char U+00D8 (decimal 216) -- defining Unicode char U+00DF (decimal 223) -- defining Unicode char U+00E6 (decimal 230) -- defining Unicode char U+00EC (decimal 236) -- defining Unicode char U+00ED (decimal 237) -- defining Unicode char U+00EE (decimal 238) -- defining Unicode char U+00EF (decimal 239) -- defining Unicode char U+00F8 (decimal 248) -- defining Unicode char U+0131 (decimal 305) -- defining Unicode char U+0141 (decimal 321) -- defining Unicode char U+0142 (decimal 322) -- defining Unicode char U+0152 (decimal 338) -- defining Unicode char U+0153 (decimal 339) - defining Unicode char U+0174 (decimal 372) - defining Unicode char U+0175 (decimal 373) - defining Unicode char U+0176 (decimal 374) - defining Unicode char U+0177 (decimal 375) - defining Unicode char U+0218 (decimal 536) - defining Unicode char U+0219 (decimal 537) - defining Unicode char U+021A (decimal 538) - defining Unicode char U+021B (decimal 539) -- defining Unicode char U+2013 (decimal 8211) -- defining Unicode char U+2014 (decimal 8212) -- defining Unicode char U+2018 (decimal 8216) -- defining Unicode char U+2019 (decimal 8217) -- defining Unicode char U+201C (decimal 8220) -- defining Unicode char U+201D (decimal 8221) --) --Now handling font encoding OMS ... --... processing UTF-8 mapping file for font encoding OMS -- --(/usr/share/texlive/texmf-dist/tex/latex/base/omsenc.dfu - File: omsenc.dfu 2015/12/03 v1.1r UTF-8 support for inputenc -File: omsenc.dfu 2008/04/05 v1.1m UTF-8 support for inputenc -- defining Unicode char U+00A7 (decimal 167) -- defining Unicode char U+00B6 (decimal 182) -- defining Unicode char U+00B7 (decimal 183) -- defining Unicode char U+2020 (decimal 8224) -- defining Unicode char U+2021 (decimal 8225) -- defining Unicode char U+2022 (decimal 8226) --) --Now handling font encoding OMX ... --... no UTF-8 mapping file for font encoding OMX --Now handling font encoding U ... --... no UTF-8 mapping file for font encoding U -- defining Unicode char U+00A9 (decimal 169) -- defining Unicode char U+00AA (decimal 170) -- defining Unicode char U+00AE (decimal 174) -- defining Unicode char U+00BA (decimal 186) -- defining Unicode char U+02C6 (decimal 710) -- defining Unicode char U+02DC (decimal 732) -- defining Unicode char U+200C (decimal 8204) -- defining Unicode char U+2026 (decimal 8230) -- defining Unicode char U+2122 (decimal 8482) -- defining Unicode char U+2423 (decimal 9251) --)) --(/usr/share/texlive/texmf-dist/tex/latex/base/fontenc.sty --Package: fontenc 2005/09/27 v1.99g Standard LaTeX package -- --(/usr/share/texlive/texmf-dist/tex/latex/base/t1enc.def --File: t1enc.def 2005/09/27 v1.99g Standard LaTeX file - LaTeX Font Info: Redeclaring font encoding T1 on input line 48. -LaTeX Font Info: Redeclaring font encoding T1 on input line 43. --)) --(/usr/share/texlive/texmf-dist/tex/generic/babel/babel.sty - Package: babel 2016/02/24 3.9q The Babel package -Package: babel 2013/12/03 3.9h The Babel package -- --(/usr/share/texlive/texmf-dist/tex/generic/babel-english/english.ldf --Language: english 2012/08/20 v3.3p English support from the babel system -- --(/usr/share/texlive/texmf-dist/tex/generic/babel/babel.def - File: babel.def 2016/02/24 3.9q Babel common definitions -File: babel.def 2013/12/03 3.9h Babel common definitions --\babel@savecnt=\count113 --\U@D=\dimen129 --) - \l@british = a dialect from \language\l@english - \l@UKenglish = a dialect from \language\l@english --\l@canadian = a dialect from \language\l@american --\l@australian = a dialect from \language\l@british --\l@newzealand = a dialect from \language\l@british --)) --(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/amssymb.sty --Package: amssymb 2013/01/14 v3.01 AMS font symbols --LaTeX Font Info: Redeclaring math symbol \boxdot on input line 44. --) --(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty --Package: latexsym 1998/08/17 v2.2e Standard LaTeX package (lasy symbols) --\symlasy=\mathgroup7 --LaTeX Font Info: Overwriting symbol font `lasy' in version `bold' - (Font) U/lasy/m/n --> U/lasy/b/n on input line 52. -(Font) U/lasy/m/n --> U/lasy/b/n on input line 47. --) --(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/eufrak.sty -- --Package eufrak Warning: The eufrak package is redundant if the amsfonts package -- is used on input line 36. -- --) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/euscript.sty --Package: euscript 2009/06/22 v3.00 Euler Script fonts --LaTeX Font Info: Overwriting math alphabet `\EuScript' in version `bold' --(Font) U/eus/m/n --> U/eus/b/n on input line 33. --) --(/usr/share/texlive/texmf-dist/tex/latex/pstricks/pstricks.sty - Package: pstricks 2015/11/14 v0.62 LaTeX wrapper for `PSTricks' (RN,HV) - - (/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty - Package: xcolor 2007/01/21 v2.11 LaTeX color extensions (UK) -Package: pstricks 2013/12/12 v0.60 LaTeX wrapper for `PSTricks' (RN,HV) -- - (/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg - File: color.cfg 2007/01/18 v1.5 color configuration of teTeX/TeXLive - ) - Package xcolor Info: Driver file: pdftex.def on input line 225. - LaTeX Info: Redefining \color on input line 702. - Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1337. - Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1341. - Package xcolor Info: Model `RGB' extended on input line 1353. - Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1355. - Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1356. - Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1357. - Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1358. - Package xcolor Info: Model `Gray' substituted by `gray' on input line 1359. - Package xcolor Info: Model `wave' substituted by `hsb' on input line 1360. - ) --(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.tex --(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/pst-xkey.tex --File: pst-xkey.tex 2005/11/25 v1.6 PSTricks specialization of xkeyval (HA) -- --(/usr/share/texlive/texmf-dist/tex/latex/xkeyval/xkeyval.sty - Package: xkeyval 2014/12/03 v2.7a package option processing (HA) -Package: xkeyval 2012/10/14 v2.6b package option processing (HA) -- --(/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkeyval.tex - (/usr/share/texlive/texmf-dist/tex/generic/xkeyval/xkvutils.tex --\XKV@toks=\toks28 --\XKV@tempa@toks=\toks29 - ) --\XKV@depth=\count114 - File: xkeyval.tex 2014/12/03 v2.7a key=value parser (HA) -File: xkeyval.tex 2012/10/14 v2.6b key=value parser (HA) --))) --(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex --`pst-fp' v0.05, 2010/01/17 (hv) --\pstFP@xs=\count115 --\pstFP@xia=\count116 --\pstFP@xib=\count117 --\pstFP@xfa=\count118 --\pstFP@xfb=\count119 --\pstFP@rega=\count120 --\pstFP@regb=\count121 --\pstFP@regs=\count122 --\pstFP@times=\count123 --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex -(/usr/share/texmf/tex/generic/pgf/utilities/pgfutil-common.tex --\pgfutil@everybye=\toks30 - \pgfutil@tempdima=\dimen130 - \pgfutil@tempdimb=\dimen131 - - (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.t - ex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex -) -(/usr/share/texmf/tex/generic/pgf/utilities/pgfkeys.code.tex --\pgfkeys@pathtoks=\toks31 --\pgfkeys@temptoks=\toks32 -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.t - ex -(/usr/share/texmf/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex --\pgfkeys@tmptoks=\toks33 - )) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex - \pgf@x=\dimen132 - \pgf@xa=\dimen133 - \pgf@xb=\dimen134 - \pgf@xc=\dimen135 - \pgf@y=\dimen136 - \pgf@ya=\dimen137 - \pgf@yb=\dimen138 - \pgf@yc=\dimen139 - \c@pgf@counta=\count124 - \c@pgf@countb=\count125 - \c@pgf@countc=\count126 - \c@pgf@countd=\count127 - \pgfutil@tempcnta=\count128 - \pgfutil@tempcntb=\count129 - ) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex - \pgfmath@dimen=\dimen140 - \pgfmath@count=\count130 - \pgfmath@box=\box44 - \pgfmath@toks=\toks34 - \pgfmath@stack@operand=\toks35 - \pgfmath@stack@operation=\toks36 - ) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code - .tex) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonomet - ric.code.tex) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.cod - e.tex) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison - .code.tex) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code. - tex) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code - .tex) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code. - tex) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerari - thmetics.code.tex))) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex - \c@pgfmathroundto@lastzeros=\count131 --)) - \pgffor@iter=\dimen141 - \pgffor@skip=\dimen142 - \pgffor@stack=\toks37 - \pgffor@toks=\toks38 -(/usr/share/texmf/tex/generic/pgf/utilities/pgffor.code.tex -\pgffor@iter=\dimen130 -\pgffor@skip=\dimen131 -\pgffor@stack=\toks34 -\pgffor@toks=\toks35 --) - \psLoopIndex=\count132 -\psLoopIndex=\count124 -- - `PSTricks' v2.64b <2015/14/11> (tvz) - \pst@dima=\dimen143 - \pst@dimb=\dimen144 - \pst@dimc=\dimen145 - \pst@dimd=\dimen146 - \pst@dimg=\dimen147 - \pst@dimh=\dimen148 - \pst@dimm=\dimen149 - \pst@dimn=\dimen150 - \pst@dimo=\dimen151 - \pst@dimp=\dimen152 - \pst@hbox=\box45 - \pst@ibox=\box46 - \pst@boxg=\box47 - \pst@cnta=\count133 - \pst@cntb=\count134 - \pst@cntc=\count135 - \pst@cntd=\count136 - \pst@cntg=\count137 - \pst@cnth=\count138 - \pst@cntm=\count139 - \pst@cntn=\count140 - \pst@cnto=\count141 - \pst@cntp=\count142 - \@zero=\count143 - \pst@toks=\toks39 -`PSTricks' v2.51 <2014/02/03> (tvz) -\pst@dima=\dimen132 -\pst@dimb=\dimen133 -\pst@dimc=\dimen134 -\pst@dimd=\dimen135 -\pst@dimg=\dimen136 -\pst@dimh=\dimen137 -\pst@dimm=\dimen138 -\pst@dimn=\dimen139 -\pst@dimo=\dimen140 -\pst@dimp=\dimen141 -\pst@hbox=\box44 -\pst@ibox=\box45 -\pst@boxg=\box46 -\pst@cnta=\count125 -\pst@cntb=\count126 -\pst@cntc=\count127 -\pst@cntd=\count128 -\pst@cntg=\count129 -\pst@cnth=\count130 -\pst@cntm=\count131 -\pst@cntn=\count132 -\pst@cnto=\count133 -\pst@cntp=\count134 -\@zero=\count135 -\pst@toks=\toks36 --(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pstricks.con) - \psunit=\dimen153 - \psxunit=\dimen154 - \psyunit=\dimen155 - \pst@C@@rType=\count144 - \pslinewidth=\dimen156 - \psk@startLW=\dimen157 - \psk@endLW=\dimen158 - \pst@customdefs=\toks40 - \pslinearc=\dimen159 - \pst@symbolStep=\dimen160 - \pst@symbolWidth=\dimen161 - \pst@symbolLinewidth=\dimen162 - \everypsbox=\toks41 - \psframesep=\dimen163 - \pslabelsep=\dimen164 - \sh@wgridXunit=\dimen165 - \sh@wgridYunit=\dimen166 - \pst@shift=\dimen167 -\psunit=\dimen142 -\psxunit=\dimen143 -\psyunit=\dimen144 -\pst@C@@rType=\count136 -\pslinewidth=\dimen145 -\psk@startLW=\dimen146 -\psk@endLW=\dimen147 -\pst@customdefs=\toks37 -\pslinearc=\dimen148 -\pst@symbolStep=\dimen149 -\pst@symbolWidth=\dimen150 -\pst@symbolLinewidth=\dimen151 -\everypsbox=\toks38 -\psframesep=\dimen152 -\pslabelsep=\dimen153 -\sh@wgridXunit=\dimen154 -\sh@wgridYunit=\dimen155 -\pst@shift=\dimen156 --) - File: pstricks.tex 2015/14/11 v2.64b `PSTricks' (tvz,hv) -File: pstricks.tex 2014/02/03 v2.51 `PSTricks' (tvz,hv) -- --(/usr/share/texlive/texmf-dist/tex/generic/pstricks/pst-fp.tex) - File: pst-fp.tex 2015/14/11 v2.64b `PST-fp' (hv) -File: pst-fp.tex 2014/02/03 v2.51 `PST-fp' (hv) - -(/usr/share/texmf/tex/latex/xcolor/xcolor.sty -Package: xcolor 2007/01/21 v2.11 LaTeX color extensions (UK) - -(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg -File: color.cfg 2007/01/18 v1.5 color configuration of teTeX/TeXLive --) -Package xcolor Info: Driver file: pdftex.def on input line 225. -LaTeX Info: Redefining \color on input line 702. -Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1337. -Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1341. -Package xcolor Info: Model `RGB' extended on input line 1353. -Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1355. -Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1356. -Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1357. -Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1358. -Package xcolor Info: Model `Gray' substituted by `gray' on input line 1359. -Package xcolor Info: Model `wave' substituted by `hsb' on input line 1360. -)) --(/usr/share/texlive/texmf-dist/tex/latex/pst-node/pst-node.sty --Package: pst-node 2012/09/18 v1.01 LaTeX wrapper for `pst-node' (HV) --Package: pst-node 2010/04/22 package wrapper for pst-node.tex -- --(/usr/share/texlive/texmf-dist/tex/generic/pst-node/pst-node.tex - v1.35, 2014/08/04 - \psrow=\count145 - \pscol=\count146 - \psmatrixcnt=\count147 - \psrowsep=\skip69 - \pscolsep=\skip70 - \pst@args=\count148 - \num@pts=\count149 - \pst@argcnt=\count150 - v1.32, 2014/02/03 -\psrow=\count137 -\pscol=\count138 -\psmatrixcnt=\count139 -\psrowsep=\skip67 -\pscolsep=\skip68 -\pst@args=\count140 -\num@pts=\count141 -\pst@argcnt=\count142 --) - File: pst-node.tex 2014/08/04 1.35 `pst-node' (tvz,hv) -File: pst-node.tex 2014/02/03 1.32 `pst-node' (tvz,hv) --) --(/usr/share/texlive/texmf-dist/tex/latex/pst-coil/pst-coil.sty --Package: pst-coil 2010/02/01 package wrapper for pst-coil.tex (hv) -- --(/usr/share/texlive/texmf-dist/tex/generic/pst-coil/pst-coil.tex - v1.35, 2014/08/04 - v1.32, 2014/02/03 --(/usr/share/texlive/texmf-dist/tex/generic/pst-node/pst-node.tex)) - File: pst-coil.tex 2015/05/13 v1.07 `PST-coil' (tvz,hv) -File: pst-coil.tex 2011/09/17 v1.06 `PST-coil' (tvz,hv) --) --(/usr/share/texlive/texmf-dist/tex/latex/url/url.sty --\Urlmuskip=\muskip11 --Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc. --) - (/usr/share/texlive/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty - (/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty - (/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty - (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex - \pgfutil@everybye=\toks42 - \pgfutil@tempdima=\dimen168 - \pgfutil@tempdimb=\dimen169 -(/usr/share/texmf/tex/latex/pgf/frontendlayer/tikz.sty -(/usr/share/texmf/tex/latex/pgf/basiclayer/pgf.sty -(/usr/share/texmf/tex/latex/pgf/utilities/pgfrcs.sty -(/usr/share/texmf/tex/generic/pgf/utilities/pgfutil-common.tex -\pgfutil@everybye=\toks39 -) -(/usr/share/texmf/tex/generic/pgf/utilities/pgfutil-latex.def -\pgfutil@abb=\box47 -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.t - ex)) (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def - \pgfutil@abb=\box48 --(/usr/share/texlive/texmf-dist/tex/latex/ms/everyshi.sty --Package: everyshi 2001/05/15 v3.00 EveryShipout Package (MS) --)) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex - Package: pgfrcs 2015/08/07 v3.0.1a (rcs-revision 1.31) -(/usr/share/texmf/tex/generic/pgf/utilities/pgfrcs.code.tex -Package: pgfrcs 2010/10/25 v2.10 (rcs-revision 1.24) --)) - Package: pgf 2015/08/07 v3.0.1a (rcs-revision 1.15) -Package: pgf 2008/01/15 v2.10 (rcs-revision 1.12) -- - (/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty - (/usr/share/texlive/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty - (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex - Package: pgfsys 2014/07/09 v3.0.1a (rcs-revision 1.48) -(/usr/share/texmf/tex/latex/pgf/basiclayer/pgfcore.sty -(/usr/share/texmf/tex/latex/pgf/systemlayer/pgfsys.sty -(/usr/share/texmf/tex/generic/pgf/systemlayer/pgfsys.code.tex -Package: pgfsys 2010/06/30 v2.10 (rcs-revision 1.37) -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex) - \pgf@x=\dimen170 - \pgf@y=\dimen171 - \pgf@xa=\dimen172 - \pgf@ya=\dimen173 - \pgf@xb=\dimen174 - \pgf@yb=\dimen175 - \pgf@xc=\dimen176 - \pgf@yc=\dimen177 -(/usr/share/texmf/tex/generic/pgf/utilities/pgfkeys.code.tex) -\pgf@x=\dimen157 -\pgf@y=\dimen158 -\pgf@xa=\dimen159 -\pgf@ya=\dimen160 -\pgf@xb=\dimen161 -\pgf@yb=\dimen162 -\pgf@xc=\dimen163 -\pgf@yc=\dimen164 --\w@pgf@writea=\write3 --\r@pgf@reada=\read1 - \c@pgf@counta=\count151 - \c@pgf@countb=\count152 - \c@pgf@countc=\count153 - \c@pgf@countd=\count154 - \t@pgf@toka=\toks43 - \t@pgf@tokb=\toks44 - \t@pgf@tokc=\toks45 -\c@pgf@counta=\count143 -\c@pgf@countb=\count144 -\c@pgf@countc=\count145 -\c@pgf@countd=\count146 -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg -(/usr/share/texmf/tex/generic/pgf/systemlayer/pgf.cfg --File: pgf.cfg 2008/05/14 (rcs-revision 1.7) --) - Driver file for pgf: pgfsys-pdftex.def -Package pgfsys Info: Driver file for pgf: pgfsys-pdftex.def on input line 900. -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def - File: pgfsys-pdftex.def 2014/10/11 (rcs-revision 1.35) -(/usr/share/texmf/tex/generic/pgf/systemlayer/pgfsys-pdftex.def -File: pgfsys-pdftex.def 2009/05/22 (rcs-revision 1.26) -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.de - f - File: pgfsys-common-pdf.def 2013/10/10 (rcs-revision 1.13) -(/usr/share/texmf/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def -File: pgfsys-common-pdf.def 2008/05/19 (rcs-revision 1.10) --))) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code. - tex - File: pgfsyssoftpath.code.tex 2013/09/09 (rcs-revision 1.9) - \pgfsyssoftpath@smallbuffer@items=\count155 - \pgfsyssoftpath@bigbuffer@items=\count156 -(/usr/share/texmf/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex -File: pgfsyssoftpath.code.tex 2008/07/18 (rcs-revision 1.7) -\pgfsyssoftpath@smallbuffer@items=\count147 -\pgfsyssoftpath@bigbuffer@items=\count148 --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code. - tex -(/usr/share/texmf/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex --File: pgfsysprotocol.code.tex 2006/10/16 (rcs-revision 1.4) --)) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex - Package: pgfcore 2010/04/11 v3.0.1a (rcs-revision 1.7) -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcore.code.tex -Package: pgfcore 2010/04/11 v2.10 (rcs-revision 1.7) -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.te - x - File: pgfcorepoints.code.tex 2013/10/07 (rcs-revision 1.27) - \pgf@picminx=\dimen178 - \pgf@picmaxx=\dimen179 - \pgf@picminy=\dimen180 - \pgf@picmaxy=\dimen181 - \pgf@pathminx=\dimen182 - \pgf@pathmaxx=\dimen183 - \pgf@pathminy=\dimen184 - \pgf@pathmaxy=\dimen185 - \pgf@xx=\dimen186 - \pgf@xy=\dimen187 - \pgf@yx=\dimen188 - \pgf@yy=\dimen189 - \pgf@zx=\dimen190 - \pgf@zy=\dimen191 -(/usr/share/texmf/tex/generic/pgf/math/pgfmath.code.tex -(/usr/share/texmf/tex/generic/pgf/math/pgfmathcalc.code.tex -(/usr/share/texmf/tex/generic/pgf/math/pgfmathutil.code.tex) -(/usr/share/texmf/tex/generic/pgf/math/pgfmathparser.code.tex -\pgfmath@dimen=\dimen165 -\pgfmath@count=\count149 -\pgfmath@box=\box48 -\pgfmath@toks=\toks40 -\pgfmath@stack@operand=\toks41 -\pgfmath@stack@operation=\toks42 --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct. - code.tex - File: pgfcorepathconstruct.code.tex 2013/10/07 (rcs-revision 1.29) - \pgf@path@lastx=\dimen192 - \pgf@path@lasty=\dimen193 -(/usr/share/texmf/tex/generic/pgf/math/pgfmathfunctions.code.tex -(/usr/share/texmf/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex) -(/usr/share/texmf/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex) -(/usr/share/texmf/tex/generic/pgf/math/pgfmathfunctions.random.code.tex) -(/usr/share/texmf/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex) -(/usr/share/texmf/tex/generic/pgf/math/pgfmathfunctions.base.code.tex) -(/usr/share/texmf/tex/generic/pgf/math/pgfmathfunctions.round.code.tex) -(/usr/share/texmf/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex))) -(/usr/share/texmf/tex/generic/pgf/math/pgfmathfloat.code.tex -\c@pgfmathroundto@lastzeros=\count150 -)) -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex -File: pgfcorepoints.code.tex 2010/04/09 (rcs-revision 1.20) -\pgf@picminx=\dimen166 -\pgf@picmaxx=\dimen167 -\pgf@picminy=\dimen168 -\pgf@picmaxy=\dimen169 -\pgf@pathminx=\dimen170 -\pgf@pathmaxx=\dimen171 -\pgf@pathminy=\dimen172 -\pgf@pathmaxy=\dimen173 -\pgf@xx=\dimen174 -\pgf@xy=\dimen175 -\pgf@yx=\dimen176 -\pgf@yy=\dimen177 -\pgf@zx=\dimen178 -\pgf@zy=\dimen179 --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code - .tex - File: pgfcorepathusage.code.tex 2014/11/02 (rcs-revision 1.24) - \pgf@shorten@end@additional=\dimen194 - \pgf@shorten@start@additional=\dimen195 -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex -File: pgfcorepathconstruct.code.tex 2010/08/03 (rcs-revision 1.24) -\pgf@path@lastx=\dimen180 -\pgf@path@lasty=\dimen181 --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.te - x - File: pgfcorescopes.code.tex 2015/05/08 (rcs-revision 1.46) -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex -File: pgfcorepathusage.code.tex 2008/04/22 (rcs-revision 1.12) -\pgf@shorten@end@additional=\dimen182 -\pgf@shorten@start@additional=\dimen183 -) -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex -File: pgfcorescopes.code.tex 2010/09/08 (rcs-revision 1.34) --\pgfpic=\box49 --\pgf@hbox=\box50 --\pgf@layerbox@main=\box51 - \pgf@picture@serial@count=\count157 -\pgf@picture@serial@count=\count151 --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.c - ode.tex - File: pgfcoregraphicstate.code.tex 2014/11/02 (rcs-revision 1.12) - \pgflinewidth=\dimen196 -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex -File: pgfcoregraphicstate.code.tex 2008/04/22 (rcs-revision 1.9) -\pgflinewidth=\dimen184 --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformation - s.code.tex - File: pgfcoretransformations.code.tex 2015/08/07 (rcs-revision 1.20) - \pgf@pt@x=\dimen197 - \pgf@pt@y=\dimen198 - \pgf@pt@temp=\dimen256 -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex -File: pgfcoretransformations.code.tex 2009/06/10 (rcs-revision 1.11) -\pgf@pt@x=\dimen185 -\pgf@pt@y=\dimen186 -\pgf@pt@temp=\dimen187 --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcorequick.code.tex --File: pgfcorequick.code.tex 2008/10/09 (rcs-revision 1.3) --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.t - ex -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex --File: pgfcoreobjects.code.tex 2006/10/11 (rcs-revision 1.2) --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing - .code.tex - File: pgfcorepathprocessing.code.tex 2013/09/09 (rcs-revision 1.9) -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex -File: pgfcorepathprocessing.code.tex 2008/10/09 (rcs-revision 1.8) --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.te - x - File: pgfcorearrows.code.tex 2015/05/14 (rcs-revision 1.43) - \pgfarrowsep=\dimen257 -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex -File: pgfcorearrows.code.tex 2008/04/23 (rcs-revision 1.11) --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex - File: pgfcoreshade.code.tex 2013/07/15 (rcs-revision 1.15) - \pgf@max=\dimen258 - \pgf@sys@shading@range@num=\count158 -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex -File: pgfcoreshade.code.tex 2008/11/23 (rcs-revision 1.13) -\pgf@max=\dimen188 -\pgf@sys@shading@range@num=\count152 --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex - File: pgfcoreimage.code.tex 2013/07/15 (rcs-revision 1.18) -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex -File: pgfcoreimage.code.tex 2010/03/25 (rcs-revision 1.16) -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code. - tex - File: pgfcoreexternal.code.tex 2014/07/09 (rcs-revision 1.21) -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex -File: pgfcoreexternal.code.tex 2010/09/01 (rcs-revision 1.17) --\pgfexternal@startupbox=\box52 --)) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.te - x - File: pgfcorelayers.code.tex 2013/07/18 (rcs-revision 1.7) -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex -File: pgfcorelayers.code.tex 2010/08/27 (rcs-revision 1.2) --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.c - ode.tex - File: pgfcoretransparency.code.tex 2013/09/30 (rcs-revision 1.5) -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex -File: pgfcoretransparency.code.tex 2008/01/17 (rcs-revision 1.2) --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code. - tex - File: pgfcorepatterns.code.tex 2013/11/07 (rcs-revision 1.5) -(/usr/share/texmf/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex -File: pgfcorepatterns.code.tex 2009/07/02 (rcs-revision 1.3) --))) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex - File: pgfmoduleshapes.code.tex 2014/03/21 (rcs-revision 1.35) -(/usr/share/texmf/tex/generic/pgf/modules/pgfmoduleshapes.code.tex -File: pgfmoduleshapes.code.tex 2010/09/09 (rcs-revision 1.13) --\pgfnodeparttextbox=\box53 - ) (/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex - File: pgfmoduleplot.code.tex 2015/08/03 (rcs-revision 1.13) --) - (/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65 - .sty - Package: pgfcomp-version-0-65 2007/07/03 v3.0.1a (rcs-revision 1.7) - \pgf@nodesepstart=\dimen259 - \pgf@nodesepend=\dimen260 -(/usr/share/texmf/tex/generic/pgf/modules/pgfmoduleplot.code.tex -File: pgfmoduleplot.code.tex 2010/10/22 (rcs-revision 1.8) --) - (/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18 - .sty - Package: pgfcomp-version-1-18 2007/07/23 v3.0.1a (rcs-revision 1.1) - )) (/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgffor.sty - (/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty - (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex)) - (/usr/share/texlive/texmf-dist/tex/latex/pgf/math/pgfmath.sty - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex)) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex - Package: pgffor 2013/12/13 v3.0.1a (rcs-revision 1.25) - - (/usr/share/texlive/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex) - \pgffor@iter=\dimen261 - \pgffor@skip=\dimen262 - \pgffor@stack=\toks46 - \pgffor@toks=\toks47 -(/usr/share/texmf/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty -Package: pgfcomp-version-0-65 2007/07/03 v2.10 (rcs-revision 1.7) -\pgf@nodesepstart=\dimen189 -\pgf@nodesepend=\dimen190 -) -(/usr/share/texmf/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty -Package: pgfcomp-version-1-18 2007/07/23 v2.10 (rcs-revision 1.1) --)) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex - Package: tikz 2015/08/07 v3.0.1a (rcs-revision 1.151) -(/usr/share/texmf/tex/latex/pgf/utilities/pgffor.sty -(/usr/share/texmf/tex/latex/pgf/utilities/pgfkeys.sty -(/usr/share/texmf/tex/generic/pgf/utilities/pgfkeys.code.tex)) -(/usr/share/texmf/tex/generic/pgf/utilities/pgffor.code.tex -Package: pgffor 2010/03/23 v2.10 (rcs-revision 1.18) -\pgffor@iter=\dimen191 -\pgffor@skip=\dimen192 -\pgffor@stack=\toks43 -\pgffor@toks=\toks44 -)) -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex -Package: tikz 2010/10/13 v2.10 (rcs-revision 1.76) -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers - .code.tex - File: pgflibraryplothandlers.code.tex 2013/08/31 v3.0.1a (rcs-revision 1.20) - \pgf@plot@mark@count=\count159 - \pgfplotmarksize=\dimen263 -(/usr/share/texmf/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex -File: pgflibraryplothandlers.code.tex 2010/05/31 v2.10 (rcs-revision 1.15) -\pgf@plot@mark@count=\count153 -\pgfplotmarksize=\dimen193 --) - \tikz@lastx=\dimen264 - \tikz@lasty=\dimen265 - \tikz@lastxsaved=\dimen266 - \tikz@lastysaved=\dimen267 - \tikzleveldistance=\dimen268 - \tikzsiblingdistance=\dimen269 -\tikz@lastx=\dimen194 -\tikz@lasty=\dimen195 -\tikz@lastxsaved=\dimen196 -\tikz@lastysaved=\dimen197 -\tikzleveldistance=\dimen198 -\tikzsiblingdistance=\dimen199 --\tikz@figbox=\box54 - \tikz@figbox@bg=\box55 - \tikz@tempbox=\box56 - \tikz@tempbox@bg=\box57 - \tikztreelevel=\count160 - \tikznumberofchildren=\count161 - \tikznumberofcurrentchild=\count162 - \tikz@fig@count=\count163 -\tikz@tempbox=\box55 -\tikztreelevel=\count154 -\tikznumberofchildren=\count155 -\tikznumberofcurrentchild=\count156 -\tikz@fig@count=\count157 -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex - File: pgfmodulematrix.code.tex 2013/09/17 (rcs-revision 1.8) - \pgfmatrixcurrentrow=\count164 - \pgfmatrixcurrentcolumn=\count165 - \pgf@matrix@numberofcolumns=\count166 -(/usr/share/texmf/tex/generic/pgf/modules/pgfmodulematrix.code.tex -File: pgfmodulematrix.code.tex 2010/08/24 (rcs-revision 1.4) -\pgfmatrixcurrentrow=\count158 -\pgfmatrixcurrentcolumn=\count159 -\pgf@matrix@numberofcolumns=\count160 --) - \tikz@expandcount=\count167 -\tikz@expandcount=\count161 -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibrarytopaths.code.tex - File: tikzlibrarytopaths.code.tex 2008/06/17 v3.0.1a (rcs-revision 1.2) -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopat -hs.code.tex -File: tikzlibrarytopaths.code.tex 2008/06/17 v2.10 (rcs-revision 1.2) --))) - (/usr/share/texlive/texmf-dist/tex/latex/pgf/compatibility/pgflibrarysnakes.sty -(/usr/share/texmf/tex/latex/pgf/compatibility/pgflibrarysnakes.sty -- --Package pgf Warning: This package is obsolete. Use \usetikzlibrary {snakes} ins --tead on input line 11. - -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibrarysnakes.code. - tex - File: pgflibrarysnakes.code.tex 2013/07/15 v3.0.1a (rcs-revision 1.25) -(/usr/share/texmf/tex/generic/pgf/libraries/pgflibrarysnakes.code.tex -File: pgflibrarysnakes.code.tex 2008/01/19 v2.10 (rcs-revision 1.24) -- -- --Package pgf Warning: Snakes have been superseded by decorations. Use the decora - tion libraries instead of the snakes library on input line 12. -tion libraries instead of the snakes library on input line 13. -- -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/decorations/pgflibrary - decorations.pathmorphing.code.tex - (/usr/share/texlive/texmf-dist/tex/generic/pgf/modules/pgfmoduledecorations.cod - e.tex - \pgfdecoratedcompleteddistance=\dimen270 - \pgfdecoratedremainingdistance=\dimen271 - \pgfdecoratedinputsegmentcompleteddistance=\dimen272 - \pgfdecoratedinputsegmentremainingdistance=\dimen273 - \pgf@decorate@distancetomove=\dimen274 - \pgf@decorate@repeatstate=\count168 - \pgfdecorationsegmentamplitude=\dimen275 - \pgfdecorationsegmentlength=\dimen276 -(/usr/share/texmf/tex/generic/pgf/libraries/decorations/pgflibrarydecorations.p -athmorphing.code.tex -(/usr/share/texmf/tex/generic/pgf/modules/pgfmoduledecorations.code.tex -\pgfdecoratedcompleteddistance=\dimen200 -\pgfdecoratedremainingdistance=\dimen201 -\pgfdecoratedinputsegmentcompleteddistance=\dimen202 -\pgfdecoratedinputsegmentremainingdistance=\dimen203 -\pgf@decorate@distancetomove=\dimen204 -\pgf@decorate@repeatstate=\count162 -\pgfdecorationsegmentamplitude=\dimen205 -\pgfdecorationsegmentlength=\dimen206 --)) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/decorations/pgflibrary - decorations.pathreplacing.code.tex) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/decorations/pgflibrary - decorations.shapes.code.tex))) - (/usr/share/texlive/texmf-dist/tex/latex/tools/multicol.sty - Package: multicol 2015/08/19 v1.8n multicolumn formatting (FMi) - \c@tracingmulticols=\count169 - \mult@box=\box58 - \multicol@leftmargin=\dimen277 - \c@unbalance=\count170 - \c@collectmore=\count171 - \doublecol@number=\count172 - \multicoltolerance=\count173 - \multicolpretolerance=\count174 - \full@width=\dimen278 - \page@free=\dimen279 - \premulticols=\dimen280 - \postmulticols=\dimen281 - \multicolsep=\skip71 - \multicolbaselineskip=\skip72 - \partial@page=\box59 - \last@line=\box60 - \maxbalancingoverflow=\dimen282 - \mult@rightbox=\box61 - \mult@grightbox=\box62 - \mult@gfirstbox=\box63 - \mult@firstbox=\box64 -(/usr/share/texmf/tex/generic/pgf/libraries/decorations/pgflibrarydecorations.p -athreplacing.code.tex) -(/usr/share/texmf/tex/generic/pgf/libraries/decorations/pgflibrarydecorations.s -hapes.code.tex))) (/usr/share/texlive/texmf-dist/tex/latex/tools/multicol.sty -Package: multicol 2011/06/27 v1.7a multicolumn formatting (FMi) -\c@tracingmulticols=\count163 -\mult@box=\box56 -\multicol@leftmargin=\dimen207 -\c@unbalance=\count164 -\c@collectmore=\count165 -\doublecol@number=\count166 -\multicoltolerance=\count167 -\multicolpretolerance=\count168 -\full@width=\dimen208 -\page@free=\dimen209 -\premulticols=\dimen210 -\postmulticols=\dimen211 -\multicolsep=\skip69 -\multicolbaselineskip=\skip70 -\partial@page=\box57 -\last@line=\box58 -\mult@rightbox=\box59 -\mult@grightbox=\box60 -\mult@gfirstbox=\box61 -\mult@firstbox=\box62 -\@tempa=\box63 -\@tempa=\box64 --\@tempa=\box65 --\@tempa=\box66 --\@tempa=\box67 --\@tempa=\box68 --\@tempa=\box69 --\@tempa=\box70 --\@tempa=\box71 --\@tempa=\box72 --\@tempa=\box73 --\@tempa=\box74 --\@tempa=\box75 --\@tempa=\box76 --\@tempa=\box77 --\@tempa=\box78 --\@tempa=\box79 - \@tempa=\box80 - \@tempa=\box81 - \c@columnbadness=\count175 - \c@finalcolumnbadness=\count176 - \last@try=\dimen283 - \multicolovershoot=\dimen284 - \multicolundershoot=\dimen285 - \mult@nat@firstbox=\box82 - \colbreak@box=\box83 - \mc@col@check@num=\count177 -\c@columnbadness=\count169 -\c@finalcolumnbadness=\count170 -\last@try=\dimen212 -\multicolovershoot=\dimen213 -\multicolundershoot=\dimen214 -\mult@nat@firstbox=\box80 -\colbreak@box=\box81 -\multicol@sort@counter=\count171 --) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibraryarrows.code.tex - File: tikzlibraryarrows.code.tex 2008/01/09 v3.0.1a (rcs-revision 1.1) -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryarrow -s.code.tex -File: tikzlibraryarrows.code.tex 2008/01/09 v2.10 (rcs-revision 1.1) -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code. - tex - File: pgflibraryarrows.code.tex 2013/09/23 v3.0.1a (rcs-revision 1.16) - \arrowsize=\dimen286 -(/usr/share/texmf/tex/generic/pgf/libraries/pgflibraryarrows.code.tex -File: pgflibraryarrows.code.tex 2008/10/27 v2.10 (rcs-revision 1.9) -\arrowsize=\dimen215 --)) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibraryautomata.code.tex - File: tikzlibraryautomata.code.tex 2008/07/14 v3.0.1a (rcs-revision 1.3) - - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibraryshapes.multipart.code.tex - File: tikzlibraryshapes.multipart.code.tex 2008/01/09 v3.0.1a (rcs-revision 1.1 - ) -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryautom -ata.code.tex -File: tikzlibraryautomata.code.tex 2008/07/14 v2.10 (rcs-revision 1.3) -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshape -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshape --s.multipart.code.tex - File: pgflibraryshapes.multipart.code.tex 2010/01/07 v3.0.1a (rcs-revision 1.2) -File: tikzlibraryshapes.multipart.code.tex 2008/01/09 v2.10 (rcs-revision 1.1) -- - \pgfnodepartlowerbox=\box84 - \pgfnodeparttwobox=\box85 - \pgfnodepartthreebox=\box86 - \pgfnodepartfourbox=\box87 - \pgfnodeparttwentybox=\box88 - \pgfnodepartnineteenbox=\box89 - \pgfnodeparteighteenbox=\box90 - \pgfnodepartseventeenbox=\box91 - \pgfnodepartsixteenbox=\box92 - \pgfnodepartfifteenbox=\box93 - \pgfnodepartfourteenbox=\box94 - \pgfnodepartthirteenbox=\box95 - \pgfnodeparttwelvebox=\box96 - \pgfnodepartelevenbox=\box97 - \pgfnodeparttenbox=\box98 - \pgfnodepartninebox=\box99 - \pgfnodeparteightbox=\box100 - \pgfnodepartsevenbox=\box101 - \pgfnodepartsixbox=\box102 - \pgfnodepartfivebox=\box103 -(/usr/share/texmf/tex/generic/pgf/libraries/shapes/pgflibraryshapes.multipart.c -ode.tex -File: pgflibraryshapes.multipart.code.tex 2010/01/07 v2.10 (rcs-revision 1.2) -\pgfnodepartlowerbox=\box82 -\pgfnodeparttwobox=\box83 -\pgfnodepartthreebox=\box84 -\pgfnodepartfourbox=\box85 -\pgfnodeparttwentybox=\box86 -\pgfnodepartnineteenbox=\box87 -\pgfnodeparteighteenbox=\box88 -\pgfnodepartseventeenbox=\box89 -\pgfnodepartsixteenbox=\box90 -\pgfnodepartfifteenbox=\box91 -\pgfnodepartfourteenbox=\box92 -\pgfnodepartthirteenbox=\box93 -\pgfnodeparttwelvebox=\box94 -\pgfnodepartelevenbox=\box95 -\pgfnodeparttenbox=\box96 -\pgfnodepartninebox=\box97 -\pgfnodeparteightbox=\box98 -\pgfnodepartsevenbox=\box99 -\pgfnodepartsixbox=\box100 -\pgfnodepartfivebox=\box101 --))) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibrarysnakes.code.tex - File: tikzlibrarysnakes.code.tex 2013/07/15 v3.0.1a (rcs-revision 1.7) -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarysnake -s.code.tex -File: tikzlibrarysnakes.code.tex 2008/02/05 v2.10 (rcs-revision 1.6) -- -- - Package pgf Warning: Snakes have been superseded by decorations. Please use the - decoration libraries instead of the snakes library on input line 14. -Package tikz Warning: Snakes have been superseded by decorations. Please use th -e decoration libraries instead of the snakes library on input line 14. -- -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibrarydecorations.pathmorphing.code.tex - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibrarydecorations.code.tex - \tikz@lib@dec@box=\box104 -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarydecor -ations.pathmorphing.code.tex -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarydecor -ations.code.tex -\tikz@lib@dec@box=\box102 --)) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibrarydecorations.pathreplacing.code.tex) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibrarydecorations.shapes.code.tex)) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibraryshapes.code.tex - File: tikzlibraryshapes.code.tex 2008/01/09 v3.0.1a (rcs-revision 1.1) - - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibraryshapes.geometric.code.tex - File: tikzlibraryshapes.geometric.code.tex 2008/01/09 v3.0.1a (rcs-revision 1.1 - ) -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarydecor -ations.pathreplacing.code.tex) -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarydecor -ations.shapes.code.tex)) -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshape -s.code.tex -File: tikzlibraryshapes.code.tex 2008/01/09 v2.10 (rcs-revision 1.1) -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshape -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshape --s.geometric.code.tex - File: pgflibraryshapes.geometric.code.tex 2008/06/26 v3.0.1a (rcs-revision 1.1) -File: tikzlibraryshapes.geometric.code.tex 2008/01/09 v2.10 (rcs-revision 1.1) -- -(/usr/share/texmf/tex/generic/pgf/libraries/shapes/pgflibraryshapes.geometric.c -ode.tex -File: pgflibraryshapes.geometric.code.tex 2008/06/26 v2.10 (rcs-revision 1.1) --)) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibraryshapes.misc.code.tex - File: tikzlibraryshapes.misc.code.tex 2008/01/09 v3.0.1a (rcs-revision 1.1) - - (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshape -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshape --s.misc.code.tex - File: pgflibraryshapes.misc.code.tex 2013/07/18 v3.0.1a (rcs-revision 1.5) - )) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibraryshapes.symbols.code.tex - File: tikzlibraryshapes.symbols.code.tex 2008/01/09 v3.0.1a (rcs-revision 1.1) -File: tikzlibraryshapes.misc.code.tex 2008/01/09 v2.10 (rcs-revision 1.1) -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshape - s.symbols.code.tex - File: pgflibraryshapes.symbols.code.tex 2013/09/11 v3.0.1a (rcs-revision 1.6) -(/usr/share/texmf/tex/generic/pgf/libraries/shapes/pgflibraryshapes.misc.code.t -ex -File: pgflibraryshapes.misc.code.tex 2008/10/07 v2.10 (rcs-revision 1.3) --)) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibraryshapes.arrows.code.tex - File: tikzlibraryshapes.arrows.code.tex 2008/01/09 v3.0.1a (rcs-revision 1.1) -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshape -s.symbols.code.tex -File: tikzlibraryshapes.symbols.code.tex 2008/01/09 v2.10 (rcs-revision 1.1) -- - (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshape -(/usr/share/texmf/tex/generic/pgf/libraries/shapes/pgflibraryshapes.symbols.cod -e.tex -File: pgflibraryshapes.symbols.code.tex 2009/10/27 v2.10 (rcs-revision 1.3) -)) -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshape --s.arrows.code.tex - File: pgflibraryshapes.arrows.code.tex 2008/06/26 v3.0.1a (rcs-revision 1.1) -File: tikzlibraryshapes.arrows.code.tex 2008/01/09 v2.10 (rcs-revision 1.1) - -(/usr/share/texmf/tex/generic/pgf/libraries/shapes/pgflibraryshapes.arrows.code -.tex -File: pgflibraryshapes.arrows.code.tex 2008/06/26 v2.10 (rcs-revision 1.1) --)) - (/usr/share/texlive/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tik - zlibraryshapes.callouts.code.tex - (/usr/share/texlive/texmf-dist/tex/generic/pgf/libraries/shapes/pgflibraryshape - s.callouts.code.tex))) (./main.aux) -(/usr/share/texmf/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibraryshape -s.callouts.code.tex -(/usr/share/texmf/tex/generic/pgf/libraries/shapes/pgflibraryshapes.callouts.co -de.tex))) (./main.aux) --\openout1 = `main.aux'. -- --LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 87. --LaTeX Font Info: ... okay on input line 87. --LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 87. --LaTeX Font Info: ... okay on input line 87. --LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 87. --LaTeX Font Info: ... okay on input line 87. --LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 87. --LaTeX Font Info: ... okay on input line 87. --LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 87. --LaTeX Font Info: ... okay on input line 87. --LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 87. --LaTeX Font Info: ... okay on input line 87. --LaTeX Font Info: Try loading font information for U+msa on input line 87. -- --(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd --File: umsa.fd 2013/01/14 v3.01 AMS symbols A --) --LaTeX Font Info: Try loading font information for U+msb on input line 87. -- --(/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd --File: umsb.fd 2013/01/14 v3.01 AMS symbols B --) --LaTeX Font Info: Try loading font information for U+stmry on input line 87. -- --(/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/Ustmry.fd) --LaTeX Font Info: Try loading font information for U+lasy on input line 87. -- --(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd --File: ulasy.fd 1998/08/17 v2.2e LaTeX symbol font definitions --) --(/usr/share/texlive/texmf-dist/tex/context/base/supp-pdf.mkii --[Loading MPS to PDF converter (version 2006.09.02).] - \scratchcounter=\count178 - \scratchdimen=\dimen287 - \scratchbox=\box105 - \nofMPsegments=\count179 - \nofMParguments=\count180 - \everyMPshowfont=\toks48 - \MPscratchCnt=\count181 - \MPscratchDim=\dimen288 - \MPnumerator=\count182 - \makeMPintoPDFobject=\count183 - \everyMPtoPDFconversion=\toks49 -\scratchcounter=\count172 -\scratchdimen=\dimen216 -\scratchbox=\box103 -\nofMPsegments=\count173 -\nofMParguments=\count174 -\everyMPshowfont=\toks45 -\MPscratchCnt=\count175 -\MPscratchDim=\dimen217 -\MPnumerator=\count176 -\makeMPintoPDFobject=\count177 -\everyMPtoPDFconversion=\toks46 --) --Package caption Info: Begin \AtBeginDocument code. --Package caption Info: End \AtBeginDocument code. -- ABD: EveryShipout initializing macros (./intro.tex - LaTeX Font Info: Try loading font information for OMS+cmr on input line 30. -LaTeX Font Info: Try loading font information for OMS+cmr on input line 26. -- --(/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd - File: omscmr.fd 2014/09/29 v2.5h Standard LaTeX font definitions -File: omscmr.fd 1999/05/25 v2.5h Standard LaTeX font definitions --) --LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <7> not available - (Font) Font shape `OMS/cmsy/m/n' tried instead on input line 30. -(Font) Font shape `OMS/cmsy/m/n' tried instead on input line 26. -- [1 --Non-PDF special ignored! --Non-PDF special ignored! --Non-PDF special ignored! --Non-PDF special ignored! --Non-PDF special ignored! --Non-PDF special ignored! --Non-PDF special ignored! --Non-PDF special ignored! --Non-PDF special ignored! - Non-PDF special ignored!{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}] -Non-PDF special ignored!{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]) --Underfull \vbox (badness 10000) has occurred while \output is active [] -- - [2]) - [2] --(./preliminaries.tex --LaTeX Font Info: Try loading font information for U+dsrom on input line 2. -- --(/usr/share/texlive/texmf-dist/tex/latex/doublestroke/Udsrom.fd --File: Udsrom.fd 1995/08/01 v0.1 Double stroke roman font definitions - ) [3] - -) - --File: images/iter_f0c.pdf Graphic file (type pdf) -- -- --Package pdftex.def Info: images/iter_f0c.pdf used on input line 60. --(pdftex.def) Requested size: 230.36006pt x 170.13521pt. - ) (./chaos.tex [4 <./images/iter_f0c.pdf>] [5] - [3]) (./chaos.tex [4 <./images/iter_f0c.pdf>] -[5] --Overfull \hbox (12.18526pt too wide) in paragraph at lines 229--232 --[]\T1/cmr/m/n/10 The next $\OML/cmm/m/it/10 n \OMS/cmsy/m/n/10 ^^B [] []$ \T1/c --mr/m/n/10 dig-its aim at mea-sur-ing how much $\OML/cmm/m/it/10 u[]; u[]; [] ; --u[]$ -- [] -- --[6] --Underfull \hbox (badness 10000) in paragraph at lines 306--307 -- -- [] -- --[7] --Overfull \hbox (2.48117pt too wide) in paragraph at lines 374--377 --[]$\OML/cmm/m/it/10 d[]\OT1/cmr/m/n/10 (^^F(\OML/cmm/m/it/10 u[]; v[]\OT1/cmr/m --/n/10 ); ^^F(\OML/cmm/m/it/10 u; v\OT1/cmr/m/n/10 )) = 10[]\OML/cmm/m/it/10 d[] --\OT1/cmr/m/n/10 ((\OML/cmm/m/it/10 u[]; v[]\OT1/cmr/m/n/10 ); (\OML/cmm/m/it/10 -- u; v\OT1/cmr/m/n/10 ))$\T1/cmr/m/n/10 . As the right -- [] -- - - --File: graphe1.pdf Graphic file (type pdf) -- --Package pdftex.def Info: graphe1.pdf used on input line 401. --(pdftex.def) Requested size: 90.4383pt x 84.46596pt. -- - - --File: graphe2.pdf Graphic file (type pdf) -- --Package pdftex.def Info: graphe2.pdf used on input line 409. --(pdftex.def) Requested size: 165.51913pt x 147.60213pt. -- --Overfull \hbox (58.82022pt too wide) in paragraph at lines 409--410 -- [][] -- [] -- --[8] --Overfull \hbox (8.8307pt too wide) in paragraph at lines 444--451 --[]\T1/cmr/m/n/10 Suppose that $\OT1/cmr/m/n/10 ^^@[](\OML/cmm/m/it/10 f\OT1/cmr --/m/n/10 )$ \T1/cmr/m/n/10 is strongly con-nected. Let $\OML/cmm/m/it/10 x \OT1/ --cmr/m/n/10 = (\OML/cmm/m/it/10 e; \OT1/cmr/m/n/10 (\OML/cmm/m/it/10 u; v\OT1/cm --r/m/n/10 ))\OML/cmm/m/it/10 ; [] \OT1/cmr/m/n/10 = ([]\OML/cmm/m/it/10 ; \OT1/c --mr/m/n/10 ([]\OML/cmm/m/it/10 ; []\OT1/cmr/m/n/10 )) \OMS/cmsy/m/n/10 2 -- [] -- - [9 <./graphe1.pdf> <./graphe2.pdf>] - --Underfull \hbox (badness 10000) in paragraph at lines 472--477 --[]\T1/cmr/m/n/10 Let $\OML/cmm/m/it/10 y \OT1/cmr/m/n/10 = (\OML/cmm/m/it/10 e; -- \OT1/cmr/m/n/10 ((\OML/cmm/m/it/10 u[]; :::; u[]; a[]; :::; a[]; a[]; :::; a[] --; :::; a[]; :::; a[];$ -- [] -- - ) (./generating.tex [10]) (./hamilton.tex [11] [12] - Overfull \hbox (104.68428pt too wide) in paragraph at lines 120--125 -[9 <./graphe1.pdf> <./graphe2.pdf>]) (./generating.tex [10]) (./hamilton.tex -[11] [12] -Overfull \hbox (104.68428pt too wide) in paragraph at lines 119--124 --[]\T1/cmr/m/it/10 Let now $\OML/cmm/m/it/10 L[] \OT1/cmr/m/n/10 = 0000\OML/cmm/ --m/it/10 ; \OT1/cmr/m/n/10 0010\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 0110\OML/cmm/m --/it/10 ; \OT1/cmr/m/n/10 1110\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1111\OML/cmm/m/ --it/10 ; \OT1/cmr/m/n/10 0111\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 0011\OML/cmm/m/i --t/10 ; \OT1/cmr/m/n/10 0001\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 0101\OML/cmm/m/it --/10 ;$ $\OT1/cmr/m/n/10 0100\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1100\OML/cmm/m/i --t/10 ; \OT1/cmr/m/n/10 1101\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1001\OML/cmm/m/it --/10 ; \OT1/cmr/m/n/10 1011\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1010\OML/cmm/m/it/ --10 ; \OT1/cmr/m/n/10 1000$ -- [] -- -- - Overfull \hbox (116.14502pt too wide) in paragraph at lines 126--131 -Overfull \hbox (116.14502pt too wide) in paragraph at lines 125--130 --[]\T1/cmr/m/it/10 On the con-trary, for the stan-dard $\OT1/cmr/m/n/10 4$\T1/cm --r/m/it/10 -bits Gray code $\OML/cmm/m/it/10 L[] \OT1/cmr/m/n/10 = 0000\OML/cmm/ --m/it/10 ; \OT1/cmr/m/n/10 0001\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 0011\OML/cmm/m --/it/10 ; \OT1/cmr/m/n/10 0010\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 0110\OML/cmm/m/ --it/10 ; \OT1/cmr/m/n/10 0111\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 0101\OML/cmm/m/i --t/10 ; \OT1/cmr/m/n/10 0100\OML/cmm/m/it/10 ; \OT1/cmr/m/n/10 1100\OML/cmm/m/it --/10 ;$ -- [] - - [13] - Underfull \vbox (badness 2368) has occurred while \output is active [] - - [14] - - Package amsmath Warning: Foreign command \atopwithdelims; - (amsmath) \frac or \genfrac should be used instead - (amsmath) on input line 324. - - ) (./stopping.tex [15] - - LaTeX Warning: Reference `sub:stop:stop' on page 16 undefined on input line 47. - -- - [16] [17] [18] [19]) (./prng.tex [20] -! Missing } inserted. - - } -l.190 Since $a_{\mathsf{N}$ - is even, $d_{\mathsf{N}}$ is defined. -? -) (./stopping.tex [13] [14] [15] [16] [17]) (./prng.tex [18] -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 64. -- --LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <10> not available --(Font) Font shape `OMS/cmsy/m/n' tried instead on input line 64. -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 64. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 67. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 67. -- - [21] -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 89. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 89. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 92. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 92. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 105. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 105. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 122. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 122. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 172. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 172. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 231. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 231. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 231. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 231. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 231. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 231. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 231. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 231. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 231. -- -- --LaTeX Warning: Command \textcircled invalid in math mode on input line 231. -- -- --Overfull \hbox (4.26556pt too wide) in paragraph at lines 229--250 -- [] -- [] -- --) (./conclusion.tex --Missing character: There is no p in font dsrom8! --Missing character: There is no p in font dsrom8! - [22]) (./main.bbl - Underfull \vbox (badness 10000) has occurred while \output is active [] - - [23] - Underfull \hbox (badness 10000) in paragraph at lines 73--76 -) [19] (./main.bbl [20] -Underfull \hbox (badness 10000) in paragraph at lines 81--84 --[]\T1/cmr/m/n/8 G. Marsaglia. Diehard: a bat-tery of tests of ran-dom-ness. -- [] - - ) - Underfull \vbox (badness 10000) has occurred while \output is active [] - - [24] - [25] (./main.aux) - - LaTeX Warning: There were undefined references. -- - ) -[21]) [22] (./main.aux) ) --(\end occurred inside a group at level 1) -- --### simple group (level 1) entered at line 10 ({) --### bottom level --Here is how much of TeX's memory you used: - 21959 strings out of 494924 - 430391 string characters out of 6179708 - 548115 words of memory out of 5000000 - 24546 multiletter control sequences out of 15000+600000 - 20136 strings out of 493304 - 370159 string characters out of 6139871 - 525134 words of memory out of 5000000 - 22909 multiletter control sequences out of 15000+600000 -- 28957 words of font info for 91 fonts, out of 8000000 for 9000 - 175 hyphenation exceptions out of 8191 - 54i,17n,77p,539b,699s stack positions out of 5000i,500n,10000p,200000b,80000s - < - /home/couchot/.texmf-var/fonts/pk/ljfour/jknappen/ec/eccc1000.600pk> - < - /usr/share/texlive/texmf-dist/fonts/type1/public/amsfonts/cm/cmsy5.pfb> - Output written on main.pdf (25 pages, 495003 bytes). - 1118 hyphenation exceptions out of 8191 - 48i,17n,75p,539b,695s stack positions out of 5000i,500n,10000p,200000b,80000s -{/usr/share/texmf/fonts/enc/dvips/cm-super/cm-super-t1.enc} -Output written on main.pdf (22 pages, 615170 bytes). --PDF statistics: - 847 PDF objects out of 1000 (max. 8388607) - 223 compressed objects within 3 object streams - 283 PDF objects out of 1000 (max. 8388607) - 203 compressed objects within 3 object streams -- 0 named destinations out of 1000 (max. 500000) -- 28 words of extra memory for PDF output out of 10000 (max. 10000000) -- diff --cc stopping.tex index 6632a23,d72f8bb..409dd83 --- a/stopping.tex +++ b/stopping.tex @@@ -83,13 -112,13 +83,13 @@@ $$t_{\rm mix}(\varepsilon)\leq \lceil\l % It is known that $d(t+1)\leq d(t)$. \JFC{references ? Cela a-t-il --% un intérêt dans la preuve ensuite.} ++% un intérêt dans la preuve ensuite.} %and % $$t_{\rm mix}(\varepsilon)=\min\{t \mid d(t)\leq \varepsilon\}.$$ --% One can prove that \JFc{Ou cela a-t-il été fait?} ++% One can prove that \JFc{Ou cela a-t-il été fait?} % $$t_{\rm mix}(\varepsilon)\leq \lceil\log_2(\varepsilon^{-1})\rceil t_{\rm mix}(\frac{1}{4})$$ @@@ -196,7 -222,7 +196,7 @@@ $ --%%%%%%%%%%%%%%%%%%%%%%%%%%%ù ++%%%%%%%%%%%%%%%%%%%%%%%%%%%ù %\section{Stopping time} An integer $\ell\in \llbracket 1,{\mathsf{N}} \rrbracket$ is said {\it fair} @@@ -349,62 -378,11 +355,70 @@@ Notice that the calculus of the station under the following constraint: for each vertex in the $\mathsf{N}$-cube there are one ongoing arc and one outgoing arc that are removed. The calculus does not consider (balanced) Hamiltonian cycles, which -are more regular and more binding than this constraint. Moreover, the bound +are more regular and more binding than this constraint. ++Moreover, the bound + is obtained using Markov Inequality which is frequently coarse. For the + classical random walkin the $\mathsf{N}$-cube, without removing any + Hamiltonian cylce, the mixing time is in $\Theta(N\ln N)$. + We conjecture that in our context, the mixing time is also in $\Theta(N\ln -N)$. -%In this later context, we claim that the upper bound for the stopping time -%should be reduced. ++N)$. ++ ++ +In this later context, we claim that the upper bound for the stopping time +should be reduced. This fact is studied in the next section. + +\subsection{Practical Evaluation of Stopping Times}\label{sub:stop:exp} + +Let be given a function $f: \Bool^{\mathsf{N}} \rightarrow \Bool^{\mathsf{N}}$ +and an initial seed $x^0$. +The pseudo code given in algorithm~\ref{algo:stop} returns the smallest +number of iterations such that all elements $\ell\in \llbracket 1,{\mathsf{N}} \rrbracket$ are fair. It allows to deduce an approximation of $E[\ts]$ +by calling this code many times with many instances of function and many +seeds. + +Practically speaking, for each number $\mathsf{N}$,$ 3 \le \mathsf{N} \le 16$, +10 functions have been generaed according to method presented in section~\ref{sec:hamilton}. For each of them, the calculus of the approximation of $E[\ts]$ +is executed 10000 times with a random seed. The table~\ref{table:stopping:moy} +summarizes results. It can be observed that the approximation is largely - smaller than the upper bound given in theorem~\ref{prop:stop}. ++wœsmaller than the upper bound given in theorem~\ref{prop:stop}. + +\begin{algorithm}[ht] +%\begin{scriptsize} +\KwIn{a function $f$, an initial configuration $x^0$ ($\mathsf{N}$ bits)} +\KwOut{a number of iterations $\textit{nbit}$} + +$\textit{nbit} \leftarrow 0$\; +$x\leftarrow x^0$\; +$\textit{visited}\leftarrow\emptyset$\; + +\While{$\left\vert{\textit{visited}}\right\vert < \mathsf{N} $} +{ + $ s \leftarrow \textit{Random}(n)$ \; + $\textit{image} \leftarrow f(x) $\; + \If{$x[s] \neq \textit{image}[s]$}{ + $\textit{visited} \leftarrow \textit{visited} \cup \{s\}$ + } + $x[s] \leftarrow \textit{image}[s]$\; + $\textit{nbit} \leftarrow \textit{nbit}+1$\; +} +\Return{$\textit{nbit}$}\; +%\end{scriptsize} +\caption{Pseudo Code of the stoping time calculus} +\label{algo:stop} +\end{algorithm} + + + + +\begin{table} +$$ +\begin{array}{|*{15}{l|}} +\hline +\mathsf{N} & 3 & 4 & 5 & 6 & 7& 8 & 9 & 10& 11 & 12 & 13 & 14 & 15 & 16 \\ +\hline +\mathsf{N} & 3 & 10.9 & 5 & 17.7 & 7& 25 & 9 & 32.7& 11 & 40.8 & 13 & 49.2 & 15 & 16 \\ +\hline +\end{array} +$$ +\caption{Average Stopping Time}\label{table:stopping:moy} +\end{table}