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+\section{{Experiments}}\label{sec:exp} +We have directly implemented the algorithm given in Figure~\ref{CI Algorithm}. +For function $f$ and our experiments $b$ is set +with the value given in the fourth column of Table~\ref{table:nc}. +% \begin{algorithm}[ht] +% %\begin{scriptsize} +% \KwIn{a function $f$, an iteration number $b$, an initial configuration $x^0$ ($n$ bits)} +% \KwOut{a configuration $x$ ($n$ bits)} +% $x\leftarrow x^0$\; +% \For{$i=0,\dots,b-1$} +% { +% $s\leftarrow{\textit{Random}~mod~n}$\; +% $x\leftarrow{(x-(x\&(1< } + { s nameptr "{vv~}{ll}{, jj}{, f.}" format.name$ 't := % last name first + nameptr #1 > + { namesleft #1 > + { ", " * t * } + { numnames #2 > + { "," * } + 'skip$ + if$ + t "others" = + { " et~al." * } + { " and " * t * } + if$ + } + if$ + } + 't + if$ + nameptr #1 + 'nameptr := + namesleft #1 - 'namesleft := + } + while$ +} + +FUNCTION {format.authors} +{ author empty$ + { "" } + { author format.names } + if$ +} + +FUNCTION {format.key} % this function is just for apalike +{ empty$ + { key field.or.null } + { "" } + if$ +} + +FUNCTION {format.editors} +{ editor empty$ + { "" } + { editor format.names + editor num.names$ #1 > + { ", editors" * } + { ", editor" * } + if$ + } + if$ +} + +FUNCTION {format.title} +{ title empty$ + { "" } + { title "t" change.case$ } + if$ +} + +FUNCTION {n.dashify} +{ 't := + "" + { t empty$ not } + { t #1 #1 substring$ "-" = + { t #1 #2 substring$ "--" = not + { "--" * + t #2 global.max$ substring$ 't := + } + { { t #1 #1 substring$ "-" = } + { "-" * + t #2 global.max$ substring$ 't := + } + while$ + } + if$ + } + { t #1 #1 substring$ * + t #2 global.max$ substring$ 't := + } + if$ + } + while$ +} + +FUNCTION {format.btitle} +{ title emphasize +} + +FUNCTION {tie.or.space.connect} +{ duplicate$ text.length$ #3 < + { "~" } + { " " } + if$ + swap$ * * +} + +FUNCTION {either.or.check} +{ empty$ + 'pop$ + { "can't use both " swap$ * " fields in " * cite$ * warning$ } + if$ +} + +FUNCTION {format.bvolume} +{ volume empty$ + { "" } + { "volume" volume tie.or.space.connect + series empty$ + 'skip$ + { " of " * series emphasize * } + if$ + "volume and number" number either.or.check + } + if$ +} + +FUNCTION {format.number.series} +{ volume empty$ + { number empty$ + { series field.or.null } + { output.state mid.sentence = + { "number" } + { "Number" } + if$ + number tie.or.space.connect + series empty$ + { "there's a number but no series in " cite$ * warning$ } + { " in " * series * } + if$ + } + if$ + } + { "" } + if$ +} + +FUNCTION {format.edition} +{ edition empty$ + { "" } + { output.state mid.sentence = + { edition "l" change.case$ " edition" * } + { edition "t" change.case$ " edition" * } + if$ + } + if$ +} + +INTEGERS { multiresult } + +FUNCTION {multi.page.check} +{ 't := + #0 'multiresult := + { multiresult not + t empty$ not + and + } + { t #1 #1 substring$ + duplicate$ "-" = + swap$ duplicate$ "," = + swap$ "+" = + or or + { #1 'multiresult := } + { t #2 global.max$ substring$ 't := } + if$ + } + while$ + multiresult +} + +FUNCTION {format.pages} +{ pages empty$ + { "" } + { pages multi.page.check + { "pages" pages n.dashify tie.or.space.connect } + { "page" pages tie.or.space.connect } + if$ + } + if$ +} + +FUNCTION {format.vol.num.pages} +{ volume field.or.null + number empty$ + 'skip$ + { "(" number * ")" * * + volume empty$ + { "there's a number but no volume in " cite$ * warning$ } + 'skip$ + if$ + } + if$ + pages empty$ + 'skip$ + { duplicate$ empty$ + { pop$ format.pages } + { ":" * pages n.dashify * } + if$ + } + if$ +} + +FUNCTION {format.chapter.pages} +{ chapter empty$ + 'format.pages + { type empty$ + { "chapter" } + { type "l" change.case$ } + if$ + chapter tie.or.space.connect + pages empty$ + 'skip$ + { ", " * format.pages * } + if$ + } + if$ +} + +FUNCTION {format.in.ed.booktitle} +{ booktitle empty$ + { "" } + { editor empty$ + { "In " booktitle emphasize * } + { "In " format.editors * ", " * booktitle emphasize * } + if$ + } + if$ +} + +FUNCTION {format.thesis.type} +{ type empty$ + 'skip$ + { pop$ + type "t" change.case$ + } + if$ +} + +FUNCTION {format.tr.number} +{ type empty$ + { "Technical Report" } + 'type + if$ + number empty$ + { "t" change.case$ } + { number tie.or.space.connect } + if$ +} + +FUNCTION {format.article.crossref} +{ "In" % this is for apalike + " \cite{" * crossref * "}" * +} + +FUNCTION {format.book.crossref} +{ volume empty$ + { "empty volume in " cite$ * "'s crossref of " * crossref * warning$ + "In " + } + { "Volume" volume tie.or.space.connect + " of " * + } + if$ + "\cite{" * crossref * "}" * % this is for apalike +} + +FUNCTION {format.incoll.inproc.crossref} +{ "In" % this is for apalike + " \cite{" * crossref * "}" * +} + +FUNCTION {article} +{ output.bibitem + format.authors "author" output.check + author format.key output % special for + output.year.check % apalike + new.block + format.title "title" output.check + new.block + crossref missing$ + { journal emphasize "journal" output.check + format.vol.num.pages output + } + { format.article.crossref output.nonnull + format.pages output + } + if$ + new.block + note output + fin.entry +} + +FUNCTION {book} +{ output.bibitem + author empty$ + { format.editors "author and editor" output.check + editor format.key output + } + { format.authors output.nonnull + crossref missing$ + { "author and editor" editor either.or.check } + 'skip$ + if$ + } + if$ + output.year.check % special for apalike + new.block + format.btitle "title" output.check + crossref missing$ + { format.bvolume output + new.block + format.number.series output + new.sentence + publisher "publisher" output.check + address output + } + { new.block + format.book.crossref output.nonnull + } + if$ + format.edition output + new.block + note output + fin.entry +} + +FUNCTION {booklet} +{ output.bibitem + format.authors output + author format.key output % special for + output.year.check % apalike + new.block + format.title "title" output.check + new.block + howpublished output + address output + new.block + note output + fin.entry +} + +FUNCTION {inbook} +{ output.bibitem + author empty$ + { format.editors "author and editor" output.check + editor format.key output + } + { format.authors output.nonnull + crossref missing$ + { "author and editor" editor either.or.check } + 'skip$ + if$ + } + if$ + output.year.check % special for apalike + new.block + format.btitle "title" output.check + crossref missing$ + { format.bvolume output + format.chapter.pages "chapter and pages" output.check + new.block + format.number.series output + new.sentence + publisher "publisher" output.check + address output + } + { format.chapter.pages "chapter and pages" output.check + new.block + format.book.crossref output.nonnull + } + if$ + format.edition output + new.block + note output + fin.entry +} + +FUNCTION {incollection} +{ output.bibitem + format.authors "author" output.check + author format.key output % special for + output.year.check % apalike + new.block + format.title "title" output.check + new.block + crossref missing$ + { format.in.ed.booktitle "booktitle" output.check + format.bvolume output + format.number.series output + format.chapter.pages output + new.sentence + publisher "publisher" output.check + address output + format.edition output + } + { format.incoll.inproc.crossref output.nonnull + format.chapter.pages output + } + if$ + new.block + note output + fin.entry +} + +FUNCTION {inproceedings} +{ output.bibitem + format.authors "author" output.check + author format.key output % special for + output.year.check % apalike + new.block + format.title "title" output.check + new.block + crossref missing$ + { format.in.ed.booktitle "booktitle" output.check + format.bvolume output + format.number.series output + format.pages output + address output % for apalike + new.sentence % there's no year + organization output % here so things + publisher output % are simpler + } + { format.incoll.inproc.crossref output.nonnull + format.pages output + } + if$ + new.block + note output + fin.entry +} + +FUNCTION {conference} { inproceedings } + +FUNCTION {manual} +{ output.bibitem + format.authors output + author format.key output % special for + output.year.check % apalike + new.block + format.btitle "title" output.check + organization address new.block.checkb + organization output + address output + format.edition output + new.block + note output + fin.entry +} + +FUNCTION {mastersthesis} +{ output.bibitem + format.authors "author" output.check + author format.key output % special for + output.year.check % apalike + new.block + format.title "title" output.check + new.block + "Master's thesis" format.thesis.type output.nonnull + school "school" output.check + address output + new.block + note output + fin.entry +} + +FUNCTION {misc} +{ output.bibitem + format.authors output + author format.key output % special for + output.year.check % apalike + new.block + format.title output + new.block + howpublished output + new.block + note output + fin.entry +} + +FUNCTION {phdthesis} +{ output.bibitem + format.authors "author" output.check + author format.key output % special for + output.year.check % apalike + new.block + format.btitle "title" output.check + new.block + "PhD thesis" format.thesis.type output.nonnull + school "school" output.check + address output + new.block + note output + fin.entry +} + +FUNCTION {proceedings} +{ output.bibitem + format.editors output + editor format.key output % special for + output.year.check % apalike + new.block + format.btitle "title" output.check + format.bvolume output + format.number.series output + address output % for apalike + new.sentence % we always output + organization output % a nonempty organization + publisher output % here + new.block + note output + fin.entry +} + +FUNCTION {techreport} +{ output.bibitem + format.authors "author" output.check + author format.key output % special for + output.year.check % apalike + new.block + format.title "title" output.check + new.block + format.tr.number output.nonnull + institution "institution" output.check + address output + new.block + note output + fin.entry +} + +FUNCTION {unpublished} +{ output.bibitem + format.authors "author" output.check + author format.key output % special for + output.year.check % apalike + new.block + format.title "title" output.check + new.block + note "note" output.check + fin.entry +} + +FUNCTION {default.type} { misc } + +MACRO {jan} {"January"} + +MACRO {feb} {"February"} + +MACRO {mar} {"March"} + +MACRO {apr} {"April"} + +MACRO {may} {"May"} + +MACRO {jun} {"June"} + +MACRO {jul} {"July"} + +MACRO {aug} {"August"} + +MACRO {sep} {"September"} + +MACRO {oct} {"October"} + +MACRO {nov} {"November"} + +MACRO {dec} {"December"} + +MACRO {acmcs} {"ACM Computing Surveys"} + +MACRO {acta} {"Acta Informatica"} + +MACRO {cacm} {"Communications of the ACM"} + +MACRO {ibmjrd} {"IBM Journal of Research and Development"} + +MACRO {ibmsj} {"IBM Systems Journal"} + +MACRO {ieeese} {"IEEE Transactions on Software Engineering"} + +MACRO {ieeetc} {"IEEE Transactions on Computers"} + +MACRO {ieeetcad} + {"IEEE Transactions on Computer-Aided Design of Integrated Circuits"} + +MACRO {ipl} {"Information Processing Letters"} + +MACRO {jacm} {"Journal of the ACM"} + +MACRO {jcss} {"Journal of Computer and System Sciences"} + +MACRO {scp} {"Science of Computer Programming"} + +MACRO {sicomp} {"SIAM Journal on Computing"} + +MACRO {tocs} {"ACM Transactions on Computer Systems"} + +MACRO {tods} {"ACM Transactions on Database Systems"} + +MACRO {tog} {"ACM Transactions on Graphics"} + +MACRO {toms} {"ACM Transactions on Mathematical Software"} + +MACRO {toois} {"ACM Transactions on Office Information Systems"} + +MACRO {toplas} {"ACM Transactions on Programming Languages and Systems"} + +MACRO {tcs} {"Theoretical Computer Science"} + +READ + +FUNCTION {sortify} +{ purify$ + "l" change.case$ +} + +INTEGERS { len } + +FUNCTION {chop.word} +{ 's := + 'len := + s #1 len substring$ = + { s len #1 + global.max$ substring$ } + 's + if$ +} + +% There are three apalike cases: one person (Jones), +% two (Jones and de~Bruijn), and more (Jones et~al.). +% This function is much like format.crossref.editors. +% +FUNCTION {format.lab.names} +{ 's := + s #1 "{vv~}{ll}" format.name$ + s num.names$ duplicate$ + #2 > + { pop$ " et~al." * } + { #2 < + 'skip$ + { s #2 "{ff }{vv }{ll}{ jj}" format.name$ "others" = + { " et~al." * } + { " and " * s #2 "{vv~}{ll}" format.name$ * } + if$ + } + if$ + } + if$ +} + +FUNCTION {author.key.label} +{ author empty$ + { key empty$ + { cite$ #1 #3 substring$ } + 'key % apalike uses the whole key + if$ + } + { author format.lab.names } + if$ +} + +FUNCTION {author.editor.key.label} +{ author empty$ + { editor empty$ + { key empty$ + { cite$ #1 #3 substring$ } + 'key % apalike uses the whole key + if$ + } + { editor format.lab.names } + if$ + } + { author format.lab.names } + if$ +} + +FUNCTION {editor.key.label} +{ editor empty$ + { key empty$ + { cite$ #1 #3 substring$ } + 'key % apalike uses the whole key, no organization + if$ + } + { editor format.lab.names } + if$ +} + +FUNCTION {calc.label} +{ type$ "book" = + type$ "inbook" = + or + 'author.editor.key.label + { type$ "proceedings" = + 'editor.key.label % apalike ignores organization + 'author.key.label % for labeling and sorting + if$ + } + if$ + ", " % these three lines are + * % for apalike, which + year field.or.null purify$ #-1 #4 substring$ % uses all four digits + * + 'label := +} + +FUNCTION {sort.format.names} +{ 's := + #1 'nameptr := + "" + s num.names$ 'numnames := + numnames 'namesleft := + { namesleft #0 > } + { nameptr #1 > + { " " * } + 'skip$ + if$ % apalike uses initials + s nameptr "{vv{ } }{ll{ }}{ f{ }}{ jj{ }}" format.name$ 't := % <= here + nameptr numnames = t "others" = and + { "et al" * } + { t sortify * } + if$ + nameptr #1 + 'nameptr := + namesleft #1 - 'namesleft := + } + while$ +} + +FUNCTION {sort.format.title} +{ 't := + "A " #2 + "An " #3 + "The " #4 t chop.word + chop.word + chop.word + sortify + #1 global.max$ substring$ +} + +FUNCTION {author.sort} +{ author empty$ + { key empty$ + { "to sort, need author or key in " cite$ * warning$ + "" + } + { key sortify } + if$ + } + { author sort.format.names } + if$ +} + +FUNCTION {author.editor.sort} +{ author empty$ + { editor empty$ + { key empty$ + { "to sort, need author, editor, or key in " cite$ * warning$ + "" + } + { key sortify } + if$ + } + { editor sort.format.names } + if$ + } + { author sort.format.names } + if$ +} + +FUNCTION {editor.sort} +{ editor empty$ + { key empty$ + { "to sort, need editor or key in " cite$ * warning$ + "" + } + { key sortify } + if$ + } + { editor sort.format.names } + if$ +} + +% apalike uses two sorting passes; the first one sets the +% labels so that the `a's, `b's, etc. can be computed; +% the second pass puts the references in "correct" order. +% The presort function is for the first pass. It computes +% label, sort.label, and title, and then concatenates. +FUNCTION {presort} +{ calc.label + label sortify + " " + * + type$ "book" = + type$ "inbook" = + or + 'author.editor.sort + { type$ "proceedings" = + 'editor.sort + 'author.sort + if$ + } + if$ + #1 entry.max$ substring$ % for + 'sort.label := % apalike + sort.label % style + * + " " + * + title field.or.null + sort.format.title + * + #1 entry.max$ substring$ + 'sort.key$ := +} + +ITERATE {presort} + +SORT % by label, sort.label, title---for final label calculation + +STRINGS { last.label next.extra } % apalike labels are only for the text; + +INTEGERS { last.extra.num } % there are none in the bibliography + +FUNCTION {initialize.extra.label.stuff} % and hence there is no `longest.label' +{ #0 int.to.chr$ 'last.label := + "" 'next.extra := + #0 'last.extra.num := +} + +FUNCTION {forward.pass} +{ last.label label = + { last.extra.num #1 + 'last.extra.num := + last.extra.num int.to.chr$ 'extra.label := + } + { "a" chr.to.int$ 'last.extra.num := + "" 'extra.label := + label 'last.label := + } + if$ +} + +FUNCTION {reverse.pass} +{ next.extra "b" = + { "a" 'extra.label := } + 'skip$ + if$ + label extra.label * 'label := + extra.label 'next.extra := +} + +EXECUTE {initialize.extra.label.stuff} + +ITERATE {forward.pass} + +REVERSE {reverse.pass} + +% Now that the label is right we sort for real, +% on sort.label then year then title. This is +% for the second sorting pass. +FUNCTION {bib.sort.order} +{ sort.label + " " + * + year field.or.null sortify + * + " " + * + title field.or.null + sort.format.title + * + #1 entry.max$ substring$ + 'sort.key$ := +} + +ITERATE {bib.sort.order} + +SORT % by sort.label, year, title---giving final bibliography order + +FUNCTION {begin.bib} +{ preamble$ empty$ % no \etalchar in apalike + 'skip$ + { preamble$ write$ newline$ } + if$ + "\begin{thebibliography}{}" write$ newline$ % no labels in apalike +} + +EXECUTE {begin.bib} + +EXECUTE {init.state.consts} + +ITERATE {call.type$} + +FUNCTION {end.bib} +{ newline$ + "\end{thebibliography}" write$ newline$ +} + +EXECUTE {end.bib} diff --git a/apalike.sty b/apalike.sty new file mode 100644 index 0000000..09863b7 --- /dev/null +++ b/apalike.sty @@ -0,0 +1,31 @@ +\def\@cite#1#2{(#1\if@tempswa , #2\fi)} +\def\@biblabel#1{} + +\newlength{\bibhang} +\setlength{\bibhang}{2em} + +\@ifundefined{chapter}{\def\thebibliography#1{\section*{REFERENCES\@mkboth + {REFERENCES}{REFERENCES}}\list + {\relax}{\setlength{\labelsep}{0em} + \setlength{\itemindent}{-\bibhang} + \setlength{\leftmargin}{\bibhang}} + \itemsep 0pt\parsep 0pt + \def\newblock{\hskip .11em plus .33em minus .07em} + \sloppy\clubpenalty4000\widowpenalty4000 + \sfcode`\.=1000\relax}}% +{\def\thebibliography#1{\chapter*{Bibliography\@mkboth + {BIBLIOGRAPHY}{BIBLIOGRAPHY}}\list + {\relax}{\setlength{\labelsep}{0em} + \setlength{\itemindent}{-\bibhang} + \setlength{\leftmargin}{\bibhang}} + \itemsep 0pt\parsep 0pt + \def\newblock{\hskip .11em plus .33em minus .07em} + \sloppy\clubpenalty4000\widowpenalty4000 + \sfcode`\.=1000\relax}} + +\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi + \def\@citea{}\@cite{\@for\@citeb:=#2\do + {\@citea\def\@citea{; }\@ifundefined + {b@\@citeb}{{\bf ?}\@warning + {Citation `\@citeb' on page \thepage \space undefined}}% +{\csname b@\@citeb\endcsname}}}{#1}} diff --git a/article.cls b/article.cls new file mode 100644 index 0000000..38bba4e --- /dev/null +++ b/article.cls @@ -0,0 +1,642 @@ +%% +%% This is file `article.cls', +%% generated with the docstrip utility. +%% +%% The original source files were: +%% +%% classes.dtx (with options: `article') +%% +%% This is a generated file. +%% +%% Copyright 1993 1994 1995 1996 1997 1998 1999 2000 +%% The LaTeX3 Project and any individual authors listed elsewhere +%% in this file. +%% +%% This file was generated from file(s) of the LaTeX base system. +%% -------------------------------------------------------------- +%% +%% It may be distributed and/or modified under the +%% conditions of the LaTeX Project Public License, either version 1.2 +%% of this license or (at your option) any later version. +%% The latest version of this license is in +%% http://www.latex-project.org/lppl.txt +%% and version 1.2 or later is part of all distributions of LaTeX +%% version 1999/12/01 or later. +%% +%% This file may only be distributed together with a copy of the LaTeX +%% base system. You may however distribute the LaTeX base system without +%% such generated files. +%% +%% The list of all files belonging to the LaTeX base distribution is +%% given in the file `manifest.txt'. See also `legal.txt' for additional +%% information. +%% +%% \CharacterTable +%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z +%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z +%% Digits \0\1\2\3\4\5\6\7\8\9 +%% Exclamation \! Double quote \" Hash (number) \# +%% Dollar \$ Percent \% Ampersand \& +%% Acute accent \' Left paren \( Right paren \) +%% Asterisk \* Plus \+ Comma \, +%% Minus \- Point \. Solidus \/ +%% Colon \: Semicolon \; Less than \< +%% Equals \= Greater than \> Question mark \? +%% Commercial at \@ Left bracket \[ Backslash \\ +%% Right bracket \] Circumflex \^ Underscore \_ +%% Grave accent \` Left brace \{ Vertical bar \| +%% Right brace \} Tilde \~} +\NeedsTeXFormat{LaTeX2e}[1995/12/01] +\ProvidesClass{article} + [2000/05/19 v1.4b + Standard LaTeX document class] +\newcommand\@ptsize{} +\newif\if@restonecol +\newif\if@titlepage +\@titlepagefalse +\if@compatibility\else +\DeclareOption{a4paper} + {\setlength\paperheight {297mm}% + \setlength\paperwidth {210mm}} +\DeclareOption{a5paper} + {\setlength\paperheight {210mm}% + \setlength\paperwidth {148mm}} +\DeclareOption{b5paper} + {\setlength\paperheight {250mm}% + \setlength\paperwidth {176mm}} +\DeclareOption{letterpaper} + {\setlength\paperheight {11in}% + \setlength\paperwidth {8.5in}} +\DeclareOption{legalpaper} + {\setlength\paperheight {14in}% + \setlength\paperwidth {8.5in}} +\DeclareOption{executivepaper} + {\setlength\paperheight {10.5in}% + \setlength\paperwidth {7.25in}} +\DeclareOption{landscape} + {\setlength\@tempdima {\paperheight}% + \setlength\paperheight {\paperwidth}% + \setlength\paperwidth {\@tempdima}} +\fi +\if@compatibility + \renewcommand\@ptsize{0} +\else +\DeclareOption{10pt}{\renewcommand\@ptsize{0}} +\fi +\DeclareOption{11pt}{\renewcommand\@ptsize{1}} +\DeclareOption{12pt}{\renewcommand\@ptsize{2}} +\if@compatibility\else +\DeclareOption{oneside}{\@twosidefalse \@mparswitchfalse} +\fi +\DeclareOption{twoside}{\@twosidetrue \@mparswitchtrue} +\DeclareOption{draft}{\setlength\overfullrule{5pt}} +\if@compatibility\else +\DeclareOption{final}{\setlength\overfullrule{0pt}} +\fi +\DeclareOption{titlepage}{\@titlepagetrue} +\if@compatibility\else +\DeclareOption{notitlepage}{\@titlepagefalse} +\fi +\if@compatibility\else +\DeclareOption{onecolumn}{\@twocolumnfalse} +\fi +\DeclareOption{twocolumn}{\@twocolumntrue} +\DeclareOption{leqno}{\input{leqno.clo}} +\DeclareOption{fleqn}{\input{fleqn.clo}} +\DeclareOption{openbib}{% + \AtEndOfPackage{% + \renewcommand\@openbib@code{% + \advance\leftmargin\bibindent + \itemindent -\bibindent + \listparindent \itemindent + \parsep \z@ + }% + \renewcommand\newblock{\par}}% +} +\ExecuteOptions{letterpaper,10pt,oneside,onecolumn,final} +\ProcessOptions +\input{size1\@ptsize.clo} +\setlength\lineskip{1\p@} +\setlength\normallineskip{1\p@} +\renewcommand\baselinestretch{} +\setlength\parskip{0\p@ \@plus \p@} +\@lowpenalty 51 +\@medpenalty 151 +\@highpenalty 301 +\setcounter{topnumber}{2} +\renewcommand\topfraction{.7} +\setcounter{bottomnumber}{1} +\renewcommand\bottomfraction{.3} +\setcounter{totalnumber}{3} +\renewcommand\textfraction{.2} +\renewcommand\floatpagefraction{.5} +\setcounter{dbltopnumber}{2} +\renewcommand\dbltopfraction{.7} +\renewcommand\dblfloatpagefraction{.5} +\if@twoside + \def\ps@headings{% + \let\@oddfoot\@empty\let\@evenfoot\@empty + \def\@evenhead{\thepage\hfil\slshape\leftmark}% + \def\@oddhead{{\slshape\rightmark}\hfil\thepage}% + \let\@mkboth\markboth + \def\sectionmark##1{% + \markboth {\MakeUppercase{% + \ifnum \c@secnumdepth >\z@ + \thesection\quad + \fi + ##1}}{}}% + \def\subsectionmark##1{% + \markright {% + \ifnum \c@secnumdepth >\@ne + \thesubsection\quad + \fi + ##1}}} +\else + \def\ps@headings{% + \let\@oddfoot\@empty + \def\@oddhead{{\slshape\rightmark}\hfil\thepage}% + \let\@mkboth\markboth + \def\sectionmark##1{% + \markright {\MakeUppercase{% + \ifnum \c@secnumdepth >\m@ne + \thesection\quad + \fi + ##1}}}} +\fi +\def\ps@myheadings{% + \let\@oddfoot\@empty\let\@evenfoot\@empty + \def\@evenhead{\thepage\hfil\slshape\leftmark}% + \def\@oddhead{{\slshape\rightmark}\hfil\thepage}% + \let\@mkboth\@gobbletwo + \let\sectionmark\@gobble + \let\subsectionmark\@gobble + } + \if@titlepage + \newcommand\maketitle{\begin{titlepage}% + \let\footnotesize\small + \let\footnoterule\relax + \let \footnote \thanks + \null\vfil + \vskip 60\p@ + \begin{center}% + {\LARGE \@title \par}% + \vskip 3em% + {\large + \lineskip .75em% + \begin{tabular}[t]{c}% + \@author + \end{tabular}\par}% + \vskip 1.5em% + {\large \@date \par}% % Set date in \large size. + \end{center}\par + \@thanks + \vfil\null + \end{titlepage}% + \setcounter{footnote}{0}% + \global\let\thanks\relax + \global\let\maketitle\relax + \global\let\@thanks\@empty + \global\let\@author\@empty + \global\let\@date\@empty + \global\let\@title\@empty + \global\let\title\relax + \global\let\author\relax + \global\let\date\relax + \global\let\and\relax +} +\else +\newcommand\maketitle{\par + \begingroup + \renewcommand\thefootnote{\@fnsymbol\c@footnote}% + \def\@makefnmark{\rlap{\@textsuperscript{\normalfont\@thefnmark}}}% + \long\def\@makefntext##1{\parindent 1em\noindent + \hb@xt@1.8em{% + \hss\@textsuperscript{\normalfont\@thefnmark}}##1}% + \if@twocolumn + \ifnum \col@number=\@ne + \@maketitle + \else + \twocolumn[\@maketitle]% + \fi + \else + \newpage + \global\@topnum\z@ % Prevents figures from going at top of page. + \@maketitle + \fi + \thispagestyle{plain}\@thanks + \endgroup + \setcounter{footnote}{0}% + \global\let\thanks\relax + \global\let\maketitle\relax + \global\let\@maketitle\relax + \global\let\@thanks\@empty + \global\let\@author\@empty + \global\let\@date\@empty + \global\let\@title\@empty + \global\let\title\relax + \global\let\author\relax + \global\let\date\relax + \global\let\and\relax +} +\def\@maketitle{% + \newpage + \null + \vskip 2em% + \begin{center}% + \let \footnote \thanks + {\LARGE \@title \par}% + \vskip 1.5em% + {\large + \lineskip .5em% + \begin{tabular}[t]{c}% + \@author + \end{tabular}\par}% + \vskip 1em% + {\large \@date}% + \end{center}% + \par + \vskip 1.5em} +\fi +\setcounter{secnumdepth}{3} +\newcounter {part} +\newcounter {section} +\newcounter {subsection}[section] +\newcounter {subsubsection}[subsection] +\newcounter {paragraph}[subsubsection] +\newcounter {subparagraph}[paragraph] +\renewcommand \thepart {\@Roman\c@part} +\renewcommand \thesection {\@arabic\c@section} +\renewcommand\thesubsection {\thesection.\@arabic\c@subsection} +\renewcommand\thesubsubsection{\thesubsection .\@arabic\c@subsubsection} +\renewcommand\theparagraph {\thesubsubsection.\@arabic\c@paragraph} +\renewcommand\thesubparagraph {\theparagraph.\@arabic\c@subparagraph} +\newcommand\part{% + \if@noskipsec \leavevmode \fi + \par + \addvspace{4ex}% + \@afterindentfalse + \secdef\@part\@spart} + +\def\@part[#1]#2{% + \ifnum \c@secnumdepth >\m@ne + \refstepcounter{part}% + \addcontentsline{toc}{part}{\thepart\hspace{1em}#1}% + \else + \addcontentsline{toc}{part}{#1}% + \fi + {\parindent \z@ \raggedright + \interlinepenalty \@M + \normalfont + \ifnum \c@secnumdepth >\m@ne + \Large\bfseries \partname~\thepart + \par\nobreak + \fi + \huge \bfseries #2% + \markboth{}{}\par}% + \nobreak + \vskip 3ex + \@afterheading} +\def\@spart#1{% + {\parindent \z@ \raggedright + \interlinepenalty \@M + \normalfont + \huge \bfseries #1\par}% + \nobreak + \vskip 3ex + \@afterheading} +\newcommand\section{\@startsection {section}{1}{\z@}% + {-3.5ex \@plus -1ex \@minus -.2ex}% + {2.3ex \@plus.2ex}% + {\normalfont\Large\bfseries}} +\newcommand\subsection{\@startsection{subsection}{2}{\z@}% + {-3.25ex\@plus -1ex \@minus -.2ex}% + {1.5ex \@plus .2ex}% + {\normalfont\large\bfseries}} +\newcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}% + {-3.25ex\@plus -1ex \@minus -.2ex}% + {1.5ex \@plus .2ex}% + {\normalfont\normalsize\bfseries}} +\newcommand\paragraph{\@startsection{paragraph}{4}{\z@}% + {3.25ex \@plus1ex \@minus.2ex}% + {-1em}% + {\normalfont\normalsize\bfseries}} +\newcommand\subparagraph{\@startsection{subparagraph}{5}{\parindent}% + {3.25ex \@plus1ex \@minus .2ex}% + {-1em}% + {\normalfont\normalsize\bfseries}} +\if@twocolumn + \setlength\leftmargini {2em} +\else + \setlength\leftmargini {2.5em} +\fi +\leftmargin \leftmargini +\setlength\leftmarginii {2.2em} +\setlength\leftmarginiii {1.87em} +\setlength\leftmarginiv {1.7em} +\if@twocolumn + \setlength\leftmarginv {.5em} + \setlength\leftmarginvi {.5em} +\else + \setlength\leftmarginv {1em} + \setlength\leftmarginvi {1em} +\fi +\setlength \labelsep {.5em} +\setlength \labelwidth{\leftmargini} +\addtolength\labelwidth{-\labelsep} +\@beginparpenalty -\@lowpenalty +\@endparpenalty -\@lowpenalty +\@itempenalty -\@lowpenalty +\renewcommand\theenumi{\@arabic\c@enumi} +\renewcommand\theenumii{\@alph\c@enumii} +\renewcommand\theenumiii{\@roman\c@enumiii} +\renewcommand\theenumiv{\@Alph\c@enumiv} +\newcommand\labelenumi{\theenumi.} +\newcommand\labelenumii{(\theenumii)} +\newcommand\labelenumiii{\theenumiii.} +\newcommand\labelenumiv{\theenumiv.} +\renewcommand\p@enumii{\theenumi} +\renewcommand\p@enumiii{\theenumi(\theenumii)} +\renewcommand\p@enumiv{\p@enumiii\theenumiii} +\newcommand\labelitemi{\textbullet} +\newcommand\labelitemii{\normalfont\bfseries \textendash} +\newcommand\labelitemiii{\textasteriskcentered} +\newcommand\labelitemiv{\textperiodcentered} +\newenvironment{description} + {\list{}{\labelwidth\z@ \itemindent-\leftmargin + \let\makelabel\descriptionlabel}} + {\endlist} +\newcommand*\descriptionlabel[1]{\hspace\labelsep + \normalfont\bfseries #1} +\if@titlepage + \newenvironment{abstract}{% + \titlepage + \null\vfil + \@beginparpenalty\@lowpenalty + \begin{center}% + \bfseries \abstractname + \@endparpenalty\@M + \end{center}}% + {\par\vfil\null\endtitlepage} +\else + \newenvironment{abstract}{% + \if@twocolumn + \section*{\abstractname}% + \else + \small + \begin{center}% + {\bfseries \abstractname\vspace{-.5em}\vspace{\z@}}% + \end{center}% + \quotation + \fi} + {\if@twocolumn\else\endquotation\fi} +\fi +\newenvironment{verse} + {\let\\\@centercr + \list{}{\itemsep \z@ + \itemindent -1.5em% + \listparindent\itemindent + \rightmargin \leftmargin + \advance\leftmargin 1.5em}% + \item\relax} + {\endlist} +\newenvironment{quotation} + {\list{}{\listparindent 1.5em% + \itemindent \listparindent + \rightmargin \leftmargin + \parsep \z@ \@plus\p@}% + \item\relax} + {\endlist} +\newenvironment{quote} + {\list{}{\rightmargin\leftmargin}% + \item\relax} + {\endlist} +\if@compatibility +\newenvironment{titlepage} + {% + \if@twocolumn + \@restonecoltrue\onecolumn + \else + \@restonecolfalse\newpage + \fi + \thispagestyle{empty}% + \setcounter{page}\z@ + }% + {\if@restonecol\twocolumn \else \newpage \fi + } +\else +\newenvironment{titlepage} + {% + \if@twocolumn + \@restonecoltrue\onecolumn + \else + \@restonecolfalse\newpage + \fi + \thispagestyle{empty}% + \setcounter{page}\@ne + }% + {\if@restonecol\twocolumn \else \newpage \fi + \if@twoside\else + \setcounter{page}\@ne + \fi + } +\fi +\newcommand\appendix{\par + \setcounter{section}{0}% + \setcounter{subsection}{0}% + \gdef\thesection{\@Alph\c@section}} +\setlength\arraycolsep{5\p@} +\setlength\tabcolsep{6\p@} +\setlength\arrayrulewidth{.4\p@} +\setlength\doublerulesep{2\p@} +\setlength\tabbingsep{\labelsep} +\skip\@mpfootins = \skip\footins +\setlength\fboxsep{3\p@} +\setlength\fboxrule{.4\p@} +\renewcommand \theequation {\@arabic\c@equation} +\newcounter{figure} +\renewcommand \thefigure {\@arabic\c@figure} +\def\fps@figure{tbp} +\def\ftype@figure{1} +\def\ext@figure{lof} +\def\fnum@figure{\figurename~\thefigure} +\newenvironment{figure} + {\@float{figure}} + {\end@float} +\newenvironment{figure*} + {\@dblfloat{figure}} + {\end@dblfloat} +\newcounter{table} +\renewcommand\thetable{\@arabic\c@table} +\def\fps@table{tbp} +\def\ftype@table{2} +\def\ext@table{lot} +\def\fnum@table{\tablename~\thetable} +\newenvironment{table} + {\@float{table}} + {\end@float} +\newenvironment{table*} + {\@dblfloat{table}} + {\end@dblfloat} +\newlength\abovecaptionskip +\newlength\belowcaptionskip +\setlength\abovecaptionskip{10\p@} +\setlength\belowcaptionskip{0\p@} +\long\def\@makecaption#1#2{% + \vskip\abovecaptionskip + \sbox\@tempboxa{#1: #2}% + \ifdim \wd\@tempboxa >\hsize + #1: #2\par + \else + \global \@minipagefalse + \hb@xt@\hsize{\hfil\box\@tempboxa\hfil}% + \fi + \vskip\belowcaptionskip} +\DeclareOldFontCommand{\rm}{\normalfont\rmfamily}{\mathrm} +\DeclareOldFontCommand{\sf}{\normalfont\sffamily}{\mathsf} +\DeclareOldFontCommand{\tt}{\normalfont\ttfamily}{\mathtt} +\DeclareOldFontCommand{\bf}{\normalfont\bfseries}{\mathbf} +\DeclareOldFontCommand{\it}{\normalfont\itshape}{\mathit} +\DeclareOldFontCommand{\sl}{\normalfont\slshape}{\@nomath\sl} +\DeclareOldFontCommand{\sc}{\normalfont\scshape}{\@nomath\sc} +\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal} +\DeclareRobustCommand*\mit{\@fontswitch\relax\mathnormal} +\newcommand\@pnumwidth{1.55em} +\newcommand\@tocrmarg{2.55em} +\newcommand\@dotsep{4.5} +\setcounter{tocdepth}{3} +\newcommand\tableofcontents{% + \section*{\contentsname + \@mkboth{% + \MakeUppercase\contentsname}{\MakeUppercase\contentsname}}% + \@starttoc{toc}% + } +\newcommand*\l@part[2]{% + \ifnum \c@tocdepth >-2\relax + \addpenalty\@secpenalty + \addvspace{2.25em \@plus\p@}% + \begingroup + \parindent \z@ \rightskip \@pnumwidth + \parfillskip -\@pnumwidth + {\leavevmode + \large \bfseries #1\hfil \hb@xt@\@pnumwidth{\hss #2}}\par + \nobreak + \if@compatibility + \global\@nobreaktrue + \everypar{\global\@nobreakfalse\everypar{}}% + \fi + \endgroup + \fi} +\newcommand*\l@section[2]{% + \ifnum \c@tocdepth >\z@ + \addpenalty\@secpenalty + \addvspace{1.0em \@plus\p@}% + \setlength\@tempdima{1.5em}% + \begingroup + \parindent \z@ \rightskip \@pnumwidth + \parfillskip -\@pnumwidth + \leavevmode \bfseries + \advance\leftskip\@tempdima + \hskip -\leftskip + #1\nobreak\hfil \nobreak\hb@xt@\@pnumwidth{\hss #2}\par + \endgroup + \fi} +\newcommand*\l@subsection{\@dottedtocline{2}{1.5em}{2.3em}} +\newcommand*\l@subsubsection{\@dottedtocline{3}{3.8em}{3.2em}} +\newcommand*\l@paragraph{\@dottedtocline{4}{7.0em}{4.1em}} +\newcommand*\l@subparagraph{\@dottedtocline{5}{10em}{5em}} +\newcommand\listoffigures{% + \section*{\listfigurename + \@mkboth{\MakeUppercase\listfigurename}% + {\MakeUppercase\listfigurename}}% + \@starttoc{lof}% + } +\newcommand*\l@figure{\@dottedtocline{1}{1.5em}{2.3em}} +\newcommand\listoftables{% + \section*{\listtablename + \@mkboth{% + \MakeUppercase\listtablename}{\MakeUppercase\listtablename}}% + \@starttoc{lot}% + } +\let\l@table\l@figure +\newdimen\bibindent +\setlength\bibindent{1.5em} +\newenvironment{thebibliography}[1] + {\section*{\refname + \@mkboth{\MakeUppercase\refname}{\MakeUppercase\refname}}% + \list{\@biblabel{\@arabic\c@enumiv}}% + {\settowidth\labelwidth{\@biblabel{#1}}% + \leftmargin\labelwidth + \advance\leftmargin\labelsep + \@openbib@code + \usecounter{enumiv}% + \let\p@enumiv\@empty + \renewcommand\theenumiv{\@arabic\c@enumiv}}% + \sloppy + \clubpenalty4000 + \@clubpenalty \clubpenalty + \widowpenalty4000% + \sfcode`\.\@m} + {\def\@noitemerr + {\@latex@warning{Empty `thebibliography' environment}}% + \endlist} +\newcommand\newblock{\hskip .11em\@plus.33em\@minus.07em} +\let\@openbib@code\@empty +\newenvironment{theindex} + {\if@twocolumn + \@restonecolfalse + \else + \@restonecoltrue + \fi + \columnseprule \z@ + \columnsep 35\p@ + \twocolumn[\section*{\indexname}]% + \@mkboth{\MakeUppercase\indexname}% + {\MakeUppercase\indexname}% + \thispagestyle{plain}\parindent\z@ + \parskip\z@ \@plus .3\p@\relax + \let\item\@idxitem} + {\if@restonecol\onecolumn\else\clearpage\fi} +\newcommand\@idxitem{\par\hangindent 40\p@} +\newcommand\subitem{\@idxitem \hspace*{20\p@}} +\newcommand\subsubitem{\@idxitem \hspace*{30\p@}} +\newcommand\indexspace{\par \vskip 10\p@ \@plus5\p@ \@minus3\p@\relax} +\renewcommand\footnoterule{% + \kern-3\p@ + \hrule\@width.4\columnwidth + \kern2.6\p@} +\newcommand\@makefntext[1]{% + \parindent 1em% + \noindent + \hb@xt@1.8em{\hss\@makefnmark}#1} +\newcommand\contentsname{Contents} +\newcommand\listfigurename{List of Figures} +\newcommand\listtablename{List of Tables} +\newcommand\refname{References} +\newcommand\indexname{Index} +\newcommand\figurename{\small Figure} +\newcommand\tablename{Table} +\newcommand\partname{Part} +\newcommand\appendixname{Appendix} +\newcommand\abstractname{Abstract} +\def\today{\ifcase\month\or + January\or February\or March\or April\or May\or June\or + July\or August\or September\or October\or November\or December\fi + \space\number\day, \number\year} +\setlength\columnsep{10\p@} +\setlength\columnseprule{0\p@} +\pagestyle{plain} +\pagenumbering{arabic} +\if@twoside +\else + \raggedbottom +\fi +\if@twocolumn + \twocolumn + \sloppy + \flushbottom +\else + \onecolumn +\fi +\endinput +%% +%% End of file `article.cls'. diff --git a/conclusion.tex b/conclusion.tex new file mode 100644 index 0000000..f0522c7 --- /dev/null +++ b/conclusion.tex @@ -0,0 +1,17 @@ +Before this work, the second class of +chaos-based PRNG $\textit{CIPRNG}_f^2$ was robust against +batteries of statistical tests and was abusively said to be chaotic. +This work has formally established the proof that +the $\textit{CIPRNG}_f^2$ is chaotic according to the Devaney +definition for some well-chosen functions $f$. +The chaos condition is expressed as a necessary and sufficient condition +on a graph of iterations: this one has to be strongly connected. + +It has thus bridged the gap between the need of true chaos for some +applications and the practical efficiency. +In a future work, we plan to study sufficient conditions on $f$ to +observe this +connectivity +and to study computed functions in the perspective +of mixing time to improve their practical efficiency. + diff --git a/example.bib b/example.bib new file mode 100644 index 0000000..57913af --- /dev/null +++ b/example.bib @@ -0,0 +1,19 @@ + +@INPROCEEDINGS{Moore99, + AUTHOR = "R. Moore and J. Lopes", + TITLE = "Paper templates", + BOOKTITLE = "TEMPLATE'06, 1st International Conference on Template Production", + YEAR = "1999", + publisher = "SCITEPRESS", + file = F +} + +@BOOK{Smith98, + AUTHOR = "J. Smith", + TITLE = "The Book", + PUBLISHER = "The publishing company", + YEAR = "1998", + address = "London", + edition = "2nd", + file = F +} diff --git a/experiments/affiche3cube.py b/experiments/affiche3cube.py new file mode 100644 index 0000000..4fec3ba --- /dev/null +++ b/experiments/affiche3cube.py @@ -0,0 +1,36 @@ +from math import * + + +def bin(elem,n): + """Convertit un nombre en binaire""" + q = -1 + res =[0 for i in range(n)] + i = 1 + while q != 0: + q = elem // 2 + r = elem % 2 + res[n-i] = r + elem = q + i+=1 + return res + + +lc= [(0,0),(sqrt(3),-1),(2,0),(sqrt(3)+2,-1), + (0,2),(sqrt(3),1),(2,2),(sqrt(3)+2,1)] + + +cx,cy=10,10 +I=1 +lcp=[((cx+I*x),(cy-I*y)) for (x,y) in lc] + +n=3 +st ="" +for i in range(2**3): + x = bin(i,n) + xst = "" + for j in range(n): + xst += str(x[j]) + st += xst + " [label=\""+xst+"\", pos=\""+str(lcp[i][0])+","+str(lcp[i][1])+"!\"];\n" + +print st + diff --git a/experiments/analyseRes.py b/experiments/analyseRes.py new file mode 100644 index 0000000..337a17d --- /dev/null +++ b/experiments/analyseRes.py @@ -0,0 +1,66 @@ +import networkx as nx +from networkx.algorithms import isomorphism +from math import * +import numpy as np +from optparse import OptionParser + + + +f= "res3.txt" + + +def bin(elem,n): + """Convertit un nombre en binaire""" + q = -1 + res =[0 for i in range(n)] + i = 1 + while q != 0: + q = elem // 2 + r = elem % 2 + res[n-i] = r + elem = q + i+=1 + return res + +def dec(ch,n): + l = len(ch) + acc = 0 + for i in range(l): + if ch[i]==1: + acc = acc + 2**(n-i-1) + return acc + + + + +fd = open(f,'r') +laligne = fd.readline() + +laligne = laligne.replace('][','];[') +matrices = laligne.split(';') + + +for m in matrices[-1]: + try: + mp = eval(m) + #print mp + n= int(log(len(mp))/log(2)) + r=[] + for i in range(len(mp)): + o = bin(i,n) + imageb = bin(i,n) + for j in range(n): + op = bin(i,n) + op[j] = 1 -op[j] + if mp[i][dec(op,n)] != 0 : + imageb[j] = op[j] + image=dec(imageb,n) + r+=[image] + print r + except SyntaxError: + pass + + + + + diff --git a/experiments/calculeBorneInfNbGrayCodes.py b/experiments/calculeBorneInfNbGrayCodes.py new file mode 100644 index 0000000..3e2f9e7 --- /dev/null +++ b/experiments/calculeBorneInfNbGrayCodes.py @@ -0,0 +1,13 @@ +from math import * + + + +def log_2(x): + return log(x)/log(2) + +def bi(n): + o_1 = 0 + return pow((float(n*log_2(2))/(exp(1)*log_2(log_2(n)))*(1 - o_1)),2**n) + +for n in range(3,10): + print n, bi(n) diff --git a/experiments/calculeNbSouslistes.py b/experiments/calculeNbSouslistes.py new file mode 100644 index 0000000..5a933ee --- /dev/null +++ b/experiments/calculeNbSouslistes.py @@ -0,0 +1,30 @@ +from math import * + + +def binomialCoefficient(n, k): + if k < 0 or k > n: + return 0 + if k == 0 or k == n: + return 1 + diff = n - k + k = min(k, n - k) # take advantage of symmetry + c = 1 + for i in range(k): + c = c * (n - i) / (i + 1) + return c + +def bi(n): + return sum([binomialCoefficient(2**(n-2)-2, 2*lp-2) for lp in range(2**(n-1))[2:]]) + """ + k = 2**n/n + l = k if k%2 == 0 else k-1 + print "++", 2**(n-2)-2, l-2,binomialCoefficient(2**(n-2)-2, l-2) + return binomialCoefficient(2**(n-2)-2, l-2) + """ +stx ="" +sti ="" +for n in range(5,10): + stx+= str(n) + " & " + sti+= str(float(bi(n))) + " & " + +print stx, "\n", sti diff --git a/experiments/combinaisons.py b/experiments/combinaisons.py new file mode 100644 index 0000000..b0b840a --- /dev/null +++ b/experiments/combinaisons.py @@ -0,0 +1,62 @@ +from __future__ import generators +#!/usr/bin/env python + +__version__ = "1.0" + +"""xpermutations.py +Generators for calculating a) the permutations of a sequence and +b) the combinations and selections of a number of elements from a +sequence. Uses Python 2.2 generators. + +Similar solutions found also in comp.lang.python + +Keywords: generator, combination, permutation, selection + +See also: http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/105962 +See also: http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/66463 +See also: http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/66465 +""" + + +def xcombinations(items, n): + if n==0: yield [] + else: + for i in xrange(len(items)): + for cc in xcombinations(items[:i]+items[i+1:],n-1): + yield [items[i]]+cc + +def xuniqueCombinations(items, n): + if n==0: yield [] + else: + for i in xrange(len(items)): + for cc in xuniqueCombinations(items[i+1:],n-1): + yield [items[i]]+cc + +def xselections(items, n): + if n==0: yield [] + else: + for i in xrange(len(items)): + for ss in xselections(items, n-1): + yield [items[i]]+ss + +def xpermutations(items): + return xcombinations(items, len(items)) + +if __name__=="__main__": + print "Permutations of 'love'" + for p in xpermutations(['l','o','v','e']): print ''.join(p) + + print + print "Combinations of 2 letters from 'love'" + for c in xcombinations(['l','o','v','e'],2): print ''.join(c) + + print + print "Unique Combinations of 2 letters from 'love'" + for uc in xuniqueCombinations(['l','o','v','e'],2): print ''.join(uc) + + print + print "Selections of 2 letters from 'love'" + for s in xselections(['l','o','v','e'],2): print ''.join(s) + + print + print map(''.join, list(xpermutations('done'))) diff --git a/experiments/combinaisons.pyc b/experiments/combinaisons.pyc new file mode 100644 index 0000000000000000000000000000000000000000..f92b1d9d9c2bec380ef0570cf3addc0050623338 GIT binary patch literal 1962 zcmb`H-A)rh6vzLw3#F7+1yR(P&|nM=8Y+HVX^ch^Ylw*3D5l12>dsJBySuP6C2N9L z`V?OHG(Ln6;hhhl=S&yNXCQ`c=gj9hbLMx>jQhJ%`t{>mGeG_gQ~ijFejxx!e}OI# z3A6-+bkK4jU3>*vF65AH3_%Xt#xP{THVRN9kR$l$AYBr&h^LKg9;yI23R!|2gDj&n zgf9Y%?O)}QkEajTtS@T@3NuC|4 zNj~&7$8yb|tT~=*(ov4oEbnNRbIl2{+EA69(KGg-6FkR%hb+d#@jRNfNdg=Gp|3`8 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[948, 994, 1029, 1088, 1036, 898, 1032, 984, 980, 949, 1021, 1004, 984, 987, 1009, 1028], [1034, 1042, 1004, 1034, 990, 964, 961, 991, 1000, 1030, 1007, 1024, 1034, 1005, 1010, 1034], [1006, 961, 1001, 936, 1002, 969, 1021, 973, 1041, 1025, 997, 1032, 1001, 1025, 949, 958], [1036, 1010, 961, 1013, 1048, 964, 995, 965, 999, 997, 983, 969, 987, 1045, 979, 1035], [1029, 964, 997, 999, 1056, 1051, 1005, 1039, 986, 995, 1003, 1012, 980, 1005, 937, 971], [981, 999, 1011, 1017, 999, 986, 1051, 1019, 1014, 984, 992, 1041, 1010, 1019, 1002, 959], [1025, 1005, 983, 996, 943, 1008, 915, 1091, 1004, 1066, 1040, 1014, 1004, 1015, 926, 937], [1018, 1029, 1019, 1010, 1009, 1054, 1027, 1016, 1010, 968, 987, 977, 1050, 1040, 954, 988], [982, 970, 1039, 980, 976, 1001, 1034, 1030, 958, 956, 967, 920, 986, 1014, 917, 947], [1013, 1038, 923, 961, 974, 997, 1003, 1039, 1025, 1037, 974, 1005, 983, 1047, 971, 1034]] +[[980, 1041, 1023, 990, 1052, 1021, 1018, 1003, 990, 970, 990, 973, 1034, 993, 1024, 1054, 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acc = acc + 2**(n-i-1) + return acc + + +def calculetmix(epsilon): + resTMIX=[] + global treatedlist + global n + if rf != False: + treatedlist =get_treatedlist(rf) + #print "taillle de la liste ",len(treatedlist) + n= int(log(len(treatedlist[0]))/log(2)) + print "n",n + l2n = range(int(pow(2,n))) + pi0 = [pow(2,-n) for _ in range(int(pow(2,n)))] + #treatedlist = [treatedlist[11]] + cpt = 0 + for perm in treatedlist: + M = np.zeros((pow(2,n),pow(2,n))) + for conf in l2n: + r = bin(perm[conf],n) + for cp in range(n): + confbp = bin(conf,n) + confbp[cp] = r[cp] + M[conf-1][dec(confbp,n)-1] = 1/float(n) + mx=0 + #print "Markov chain",M + eigs = np.linalg.eigvals(M) + #print "valp",eigs + error = 1E-10 + modulusofegs = [abs(l) for l in eigs] + modulusofegs = [l if (1-l)>error else 0 for l in modulusofegs] + #print "modulusofegs",modulusofegs + lambdastar = max(modulusofegs) + #print "lambdastar",lambdastar + trel = 1.0/(1-lambdastar) + def tmixSup(epsilon) : + pimin = 1.0/int(pow(2,n)) + #print "pimin",pimin + return np.log(1.0/(epsilon*pimin))*trel + def tmixInf(epsilon) : + pimin = 1.0/int(pow(2,n)) + #print "pimin",pimin + return (trel-1)*np.log(1.0/(2*epsilon)) + + + print "F_"+str(cpt+1), perm, int(tmixInf(epsilon)), int(tmixSup(epsilon))+1 + resTMIX +=[(perm, int(tmixInf(epsilon)), int(tmixSup(epsilon))+1)] + cpt+=1 + + def compare(x,y): + return cmp(x[1],y[1]) + resTMIX.sort(cmp=compare) + print resTMIX + + + +def is_double_stoc(M): + (nbl,nbc) =M.shape + return all( [abs (sum([M[i,j] for i in range(nbl)])-1.0)<1E-6 for j in range(nbc)]) + + + +def matriceAdjacenceDe(G): + l2n = range(int(pow(2,n))) + P = np.zeros((2**n,2**n)) + L = G.edges() + for i in l2n: + k = 0 + for j in l2n: + if i != j : + if (i,j) in L: + P[i][j] = 1/float(n) + k+=1 + P[i][i]=(n-k)/float(n) + return P + + +def graphe_OK(G): + M = matriceAdjacenceDe(G) + r = True + r = r and is_double_stoc(M) + r = r and nx.is_strongly_connected(G) + return r + + +def graphe_de_liste(l): + G = nx.DiGraph() + l2n = range(int(pow(2,n))) + for conf in l2n: + G.add_node(conf) + # r est l'image binaire de conf en parallele + r = bin(l[conf],n) + # on construit poentiellement les n image en unitaire + for cp in range(n): + # confbp est conf sauf en cp ou c'est r[cp] + confbp = bin(conf,n) + confbp[cp] = r[cp] + # on ajoute l'arc + G.add_edge(conf,dec(confbp,n)) + return G + + +acc={} +def genereGrapheHamiltonien(G): + global acc + def largeur(profondeur, effectues): + #print "profondeur",profondeur + global acc + effectues_p = [] + for (c,vi) in effectues: + (_,d) = c[len(c)-1] + for v in G.neighbors(d): + if v not in vi: + effectues_p += [([_ for _ in c]+[(d,v)],set([_ for _ in vi]+[v]))] + acc[profondeur] = effectues_p + if profondeur <= pow(2,n) : + largeur(profondeur+1,effectues_p) + largeur(4,[([(0,1)],set([0,1]))]) + res = acc[pow(2,n)+1] + ret=[] + for (c,vertices) in res : + assert len(vertices) == pow(2,n) + (_,t) = c[len(c)-1] + if G.has_edge(t,0) : + ret +=[c +[(t,0)]] + + return ret + + +def graphSansListe(G,l): + Gp = nx.DiGraph() + Gp.add_edges_from(G.edges()) + Gp.remove_edges_from(l) + return Gp + +def genereTousLesGraphesSansCycleHamiltonien(G): + r = [graphSansListe(G,l) for l in genereGrapheHamiltonien(G)] + res = [r[0]] + for g in r[1:] : + if all([not(isomorphic(g,g2)) for g2 in res]): + res.append(g) + return [grapheToList(G) for G in res] + +def graphe_de_edges(l): + G = nx.DiGraph() + l2n = range(int(pow(2,n))) + for conf in l2n: + G.add_node(conf) + for (o,e) in l: + G.add_edge(o,e) + return G + +# s'il y a des doublons ce n'est pas une perm +def isperm(L): + return len(set(L)) == len(L) + + +def grapheToList(G): + l2n = range(int(pow(2,n))) + edges = G.edges() + images = range(int(pow(2,n))) + for o in l2n: + e = o + eb= bin(e,n) + for j in range(n): + epb = bin(e,n) + epb[j] = 1-epb[j] + if (o,dec(epb,n)) in edges: + eb[j] = 1-eb[j] + images[o]=dec(eb,n) + return images + +def isomorphic(g1,g2): + GM = isomorphism.DiGraphMatcher(g1,g2) + return GM.is_isomorphic() + +def parcours_p(visited,resG,l): + + t = len(l) + for j in range(t): + lp = l[0:j]+l[j+1:] + G = graphe_de_edges(lp) + if nx.is_strongly_connected(G) : + if all([not(isomorphic(G,g2)) for g2 in visited]): + visited.append(G) + M = matriceAdjacenceDe(G) + if is_double_stoc(M): + resG.append(G) + gtl = grapheToList(G) + print gtl,len(resG) + parcours_p(visited,resG,G.edges()) + + +def parcours_l_dual(visited,resG,GGedges): + global prof + print "\n en entrant",int(prof),"a visiter",len(visited) + prof -=1 + nvisited =[] + for i in range(len(visited)) : + #if i%10 == 0 : + print "ds calcul",i,len(nvisited) + ld = visited[i].edges() + lr = list(GGedges-set(ld)) + + t = len(lr) + for j in range(t): + lp = [x for x in ld]+[lr[j]] + G= graphe_de_edges(list(GGedges-set(lp))) + if nx.is_strongly_connected(G) : + Gd= graphe_de_edges(lp) + if all([not(isomorphic(Gd,g2)) for g2 in nvisited]): + nvisited.append(Gd) + M = matriceAdjacenceDe(G) + if is_double_stoc(M): + resG.append(G) + gtl = grapheToList(G) + print "\n",gtl + if nvisited != [] : + parcours_l_dual(nvisited,resG,GGedges) + + +def parcours_l(visited,resG): + global prof + if prof < profM - nbmaxiter : + assert False + print "\n en entrant",int(prof),"a vistier",len(visited) + prof -=1 + nvisited =[] + for i in range(len(visited)) : + #if i%100 == 0 : + #print "ds calcul",i,len(nvisited) + l = visited[i].edges() + t = len(l) + for j in range(t): + lp = l[0:j]+l[j+1:] + G = graphe_de_edges(lp) + if nx.is_strongly_connected(G) : + if all([not(isomorphic(G,g2)) for g2 in nvisited]): + nvisited.append(G) + M = matriceAdjacenceDe(G) + if is_double_stoc(M): + resG.append(G) + gtl = grapheToList(G) + print "\n",gtl + if nvisited != [] : + parcours_l(nvisited,resG) + + + + + +def main(): + global treatedlist + l = range(int(pow(2,n))) + l.reverse() + G = graphe_de_liste(l) + treatedlist = genereTousLesGraphesSansCycleHamiltonien(G) + print treatedlist + #Ginit = nx.DiGraph() + #Ginit.add_edge(0,2) + #resG = [G] + # parcours en profondeur : deux graphes sont voinsin si l'un contient + # un arc de plus que l'autre + #visited=[] + #parcours_p(visited,resG,G.edges()) + #parcours_l([G],resG) + #parcours_l_dual([Ginit],resG,set(G.edges())) + + #print [grapheToList(X) for X in resG] + + + + + +def main_old(): + resl=[] + global treatedlist + if rf != False: + treatedlist =get_treatedlist(rf) + else : + treatedlist = [ perm for perm in permute_in_place(range(8))] + print "taillle de la liste ",len(treatedlist) + res = [] + resG= [] + global n + n= int(log(len(treatedlist[0]))/log(2)) + print "n",n + + nbit = 40 + + l2n = range(int(pow(2,n))) + # pour chaque permutation de l ensemble [0,...,2^[n-1}} + nnb = 0 + #for perm in permute_in_place(range(4)): + D=[0 for x in range(len(treatedlist))] + count=-1 + for perm in treatedlist: + count +=1 + nnb +=1 + #if nnb%1000 == 0 : + # print nnb + # si elle contient un element stable on l enleve (GTPIC n est pas SCC) + if all([ ident!=perm[ident] for ident in l2n]): + # on construit le GTPIC + #G = nx.DiGraph() + G = nx.DiGraph() + # pour chaque noeud + for conf in l2n: + G.add_node(conf) + # r est l'image binaire de conf en parallele + r = bin(perm[conf]) + # on construit poentiellement les n image en unitaire + for cp in range(n): + # confbp est conf sauf en cp ou c'est r[cp] + confbp = bin(conf) + confbp[cp] = r[cp] + # on ajoute l'arc + G.add_edge(conf,dec(confbp)) + flg = False + if nx.is_strongly_connected(G): + if len(resG)==0: + res.append(perm) + resG.append(G) + flg=True + else : + def isomorphic(g1,g2): + GM = isomorphism.DiGraphMatcher(g1,g2) + return GM.is_isomorphic() + if all([not(isomorphic(G,g2)) for g2 in resG]): + resG.append(G) + res.append(perm) + flg=True + #else: + # print "pas scc",perm + if flg == True : + T=[0 for i in l2n] + T[0] = 1 + P = np.zeros((2**n,2**n)) + for i in l2n: + k = 0 + for j in l2n: + L = G.edges() + if i != j : + if (i,j) in L: + P[i][j] = 1/float(n) + k+=1 + P[i][i]=(n-k)/float(n) + + + if is_double_stoc(P): + d=pow(2,n) + t=0 + unif = 1/float(pow(2,n)) + cpt=0 + while (d >0.00001 and t <10000): + cpt+=1 + #print cpt + T =[ sum ([T[j]*P[j][i] for j in l2n]) for i in l2n] + #print T + dp = sum([abs(x-unif) for x in T])*(pow(2,n)) + if dp < d : + D[count] = t + d = dp + t +=1 + #print dp + print perm, t, d, D[count] + resl +=[perm] + print resl + return resl +rf=False + +def options(): + global rf + parser = OptionParser() + parser.add_option("-i", "--input", dest="i", + help="file of sequences") + (options, args) = parser.parse_args() + if (options.i != None): + rf = options.i + + +if __name__ == "__main__": + options() + print "------" + #main() + calculetmix(1E-4) + diff --git a/experiments/genDoubleStoc.py~ b/experiments/genDoubleStoc.py~ new file mode 100644 index 0000000..2bec034 --- /dev/null +++ b/experiments/genDoubleStoc.py~ @@ -0,0 +1,418 @@ +import networkx as nx +from networkx.algorithms import isomorphism +from math import * +import numpy as np +from optparse import OptionParser + + +n= 5 +nbmaxiter = 6 +profM=n*pow(2,n) +prof = profM + +def bin(elem,n): + """Convertit un nombre en binaire""" + q = -1 + res =[0 for i in range(n)] + i = 1 + while q != 0: + q = elem // 2 + r = elem % 2 + res[n-i] = r + elem = q + i+=1 + return res + +def dec(ch,n): + l = len(ch) + acc = 0 + for i in range(l): + if ch[i]==1: + acc = acc + 2**(n-i-1) + return acc + + +def calculetmix(epsilon): + resTMIX=[] + global treatedlist + global n + if rf != False: + treatedlist =get_treatedlist(rf) + #print "taillle de la liste ",len(treatedlist) + n= int(log(len(treatedlist[0]))/log(2)) + print "n",n + l2n = range(int(pow(2,n))) + pi0 = [pow(2,-n) for _ in range(int(pow(2,n)))] + #treatedlist = [treatedlist[11]] + cpt = 0 + for perm in treatedlist: + M = np.zeros((pow(2,n),pow(2,n))) + for conf in l2n: + r = bin(perm[conf],n) + for cp in range(n): + confbp = bin(conf,n) + confbp[cp] = r[cp] + M[conf-1][dec(confbp,n)-1] = 1/float(n) + mx=0 + #print "Markov chain",M + eigs = np.linalg.eigvals(M) + #print "valp",eigs + error = 1E-10 + modulusofegs = [abs(l) for l in eigs] + modulusofegs = [l if (1-l)>error else 0 for l in modulusofegs] + #print "modulusofegs",modulusofegs + lambdastar = max(modulusofegs) + #print "lambdastar",lambdastar + trel = 1.0/(1-lambdastar) + def tmixSup(epsilon) : + pimin = 1.0/int(pow(2,n)) + #print "pimin",pimin + return np.log(1.0/(epsilon*pimin))*trel + def tmixInf(epsilon) : + pimin = 1.0/int(pow(2,n)) + #print "pimin",pimin + return (trel-1)*np.log(1.0/(2*epsilon)) + + + print "F_"+str(cpt+1), perm, int(tmixInf(epsilon)), int(tmixSup(epsilon))+1 + resTMIX +=[(perm, int(tmixInf(epsilon)), int(tmixSup(epsilon))+1)] + cpt+=1 + + def compare(x,y): + return cmp(x[1],y[1]) + resTMIX.sort(cmp=compare) + print resTMIX + + + +def is_double_stoc(M): + (nbl,nbc) =M.shape + return all( [abs (sum([M[i,j] for i in range(nbl)])-1.0)<1E-6 for j in range(nbc)]) + + + +def matriceAdjacenceDe(G): + l2n = range(int(pow(2,n))) + P = np.zeros((2**n,2**n)) + L = G.edges() + for i in l2n: + k = 0 + for j in l2n: + if i != j : + if (i,j) in L: + P[i][j] = 1/float(n) + k+=1 + P[i][i]=(n-k)/float(n) + return P + + +def graphe_OK(G): + M = matriceAdjacenceDe(G) + r = True + r = r and is_double_stoc(M) + r = r and nx.is_strongly_connected(G) + return r + + +def graphe_de_liste(l): + G = nx.DiGraph() + l2n = range(int(pow(2,n))) + for conf in l2n: + G.add_node(conf) + # r est l'image binaire de conf en parallele + r = bin(l[conf],n) + # on construit poentiellement les n image en unitaire + for cp in range(n): + # confbp est conf sauf en cp ou c'est r[cp] + confbp = bin(conf,n) + confbp[cp] = r[cp] + # on ajoute l'arc + G.add_edge(conf,dec(confbp,n)) + return G + + +acc={} +def genereGrapheHamiltonien(G): + global acc + def largeur(profondeur, effectues): + #print "profondeur",profondeur + global acc + effectues_p = [] + for (c,vi) in effectues: + (_,d) = c[len(c)-1] + for v in G.neighbors(d): + if v not in vi: + effectues_p += [([_ for _ in c]+[(d,v)],set([_ for _ in vi]+[v]))] + acc[profondeur] = effectues_p + if profondeur <= pow(2,n) : + largeur(profondeur+1,effectues_p) + largeur(4,[([(0,1)],set([0,1]))]) + res = acc[pow(2,n)+1] + ret=[] + for (c,vertices) in res : + assert len(vertices) == pow(2,n) + (_,t) = c[len(c)-1] + if G.has_edge(t,0) : + ret +=[c +[(t,0)]] + + return ret + + +def graphSansListe(G,l): + Gp = nx.DiGraph() + Gp.add_edges_from(G.edges()) + Gp.remove_edges_from(l) + return Gp + +def genereTousLesGraphesSansCycleHamiltonien(G): + r = [graphSansListe(G,l) for l in genereGrapheHamiltonien(G)] + res = [r[0]] + for g in r[1:] : + if all([not(isomorphic(g,g2)) for g2 in res]): + res.append(g) + return [grapheToList(G) for G in res] + +def graphe_de_edges(l): + G = nx.DiGraph() + l2n = range(int(pow(2,n))) + for conf in l2n: + G.add_node(conf) + for (o,e) in l: + G.add_edge(o,e) + return G + +# s'il y a des doublons ce n'est pas une perm +def isperm(L): + return len(set(L)) == len(L) + + +def grapheToList(G): + l2n = range(int(pow(2,n))) + edges = G.edges() + images = range(int(pow(2,n))) + for o in l2n: + e = o + eb= bin(e,n) + for j in range(n): + epb = bin(e,n) + epb[j] = 1-epb[j] + if (o,dec(epb,n)) in edges: + eb[j] = 1-eb[j] + images[o]=dec(eb,n) + return images + +def isomorphic(g1,g2): + GM = isomorphism.DiGraphMatcher(g1,g2) + return GM.is_isomorphic() + +def parcours_p(visited,resG,l): + + t = len(l) + for j in range(t): + lp = l[0:j]+l[j+1:] + G = graphe_de_edges(lp) + if nx.is_strongly_connected(G) : + if all([not(isomorphic(G,g2)) for g2 in visited]): + visited.append(G) + M = matriceAdjacenceDe(G) + if is_double_stoc(M): + resG.append(G) + gtl = grapheToList(G) + print gtl,len(resG) + parcours_p(visited,resG,G.edges()) + + +def parcours_l_dual(visited,resG,GGedges): + global prof + print "\n en entrant",int(prof),"a visiter",len(visited) + prof -=1 + nvisited =[] + for i in range(len(visited)) : + #if i%10 == 0 : + print "ds calcul",i,len(nvisited) + ld = visited[i].edges() + lr = list(GGedges-set(ld)) + + t = len(lr) + for j in range(t): + lp = [x for x in ld]+[lr[j]] + G= graphe_de_edges(list(GGedges-set(lp))) + if nx.is_strongly_connected(G) : + Gd= graphe_de_edges(lp) + if all([not(isomorphic(Gd,g2)) for g2 in nvisited]): + nvisited.append(Gd) + M = matriceAdjacenceDe(G) + if is_double_stoc(M): + resG.append(G) + gtl = grapheToList(G) + print "\n",gtl + if nvisited != [] : + parcours_l_dual(nvisited,resG,GGedges) + + +def parcours_l(visited,resG): + global prof + if prof < profM - nbmaxiter : + assert False + print "\n en entrant",int(prof),"a vistier",len(visited) + prof -=1 + nvisited =[] + for i in range(len(visited)) : + #if i%100 == 0 : + #print "ds calcul",i,len(nvisited) + l = visited[i].edges() + t = len(l) + for j in range(t): + lp = l[0:j]+l[j+1:] + G = graphe_de_edges(lp) + if nx.is_strongly_connected(G) : + if all([not(isomorphic(G,g2)) for g2 in nvisited]): + nvisited.append(G) + M = matriceAdjacenceDe(G) + if is_double_stoc(M): + resG.append(G) + gtl = grapheToList(G) + print "\n",gtl + if nvisited != [] : + parcours_l(nvisited,resG) + + + + + +def main(): + global treatedlist + l = range(int(pow(2,n))) + l.reverse() + G = graphe_de_liste(l) + treatedlist = genereTousLesGraphesSansCycleHamiltonien(G) + print treatedlist + #Ginit = nx.DiGraph() + #Ginit.add_edge(0,2) + #resG = [G] + # parcours en profondeur : deux graphes sont voinsin si l'un contient + # un arc de plus que l'autre + #visited=[] + #parcours_p(visited,resG,G.edges()) + #parcours_l([G],resG) + #parcours_l_dual([Ginit],resG,set(G.edges())) + + #print [grapheToList(X) for X in resG] + + + + + +def main_old(): + resl=[] + global treatedlist + if rf != False: + treatedlist =get_treatedlist(rf) + else : + treatedlist = [ perm for perm in permute_in_place(range(8))] + print "taillle de la liste ",len(treatedlist) + res = [] + resG= [] + global n + n= int(log(len(treatedlist[0]))/log(2)) + print "n",n + + nbit = 40 + + l2n = range(int(pow(2,n))) + # pour chaque permutation de l ensemble [0,...,2^[n-1}} + nnb = 0 + #for perm in permute_in_place(range(4)): + D=[0 for x in range(len(treatedlist))] + count=-1 + for perm in treatedlist: + count +=1 + nnb +=1 + #if nnb%1000 == 0 : + # print nnb + # si elle contient un element stable on l enleve (GTPIC n est pas SCC) + if all([ ident!=perm[ident] for ident in l2n]): + # on construit le GTPIC + #G = nx.DiGraph() + G = nx.DiGraph() + # pour chaque noeud + for conf in l2n: + G.add_node(conf) + # r est l'image binaire de conf en parallele + r = bin(perm[conf]) + # on construit poentiellement les n image en unitaire + for cp in range(n): + # confbp est conf sauf en cp ou c'est r[cp] + confbp = bin(conf) + confbp[cp] = r[cp] + # on ajoute l'arc + G.add_edge(conf,dec(confbp)) + flg = False + if nx.is_strongly_connected(G): + if len(resG)==0: + res.append(perm) + resG.append(G) + flg=True + else : + def isomorphic(g1,g2): + GM = isomorphism.DiGraphMatcher(g1,g2) + return GM.is_isomorphic() + if all([not(isomorphic(G,g2)) for g2 in resG]): + resG.append(G) + res.append(perm) + flg=True + #else: + # print "pas scc",perm + if flg == True : + T=[0 for i in l2n] + T[0] = 1 + P = np.zeros((2**n,2**n)) + for i in l2n: + k = 0 + for j in l2n: + L = G.edges() + if i != j : + if (i,j) in L: + P[i][j] = 1/float(n) + k+=1 + P[i][i]=(n-k)/float(n) + + + if is_double_stoc(P): + d=pow(2,n) + t=0 + unif = 1/float(pow(2,n)) + cpt=0 + while (d >0.00001 and t <10000): + cpt+=1 + #print cpt + T =[ sum ([T[j]*P[j][i] for j in l2n]) for i in l2n] + #print T + dp = sum([abs(x-unif) for x in T])*(pow(2,n)) + if dp < d : + D[count] = t + d = dp + t +=1 + #print dp + print perm, t, d, D[count] + resl +=[perm] + print resl + return resl +rf=False + +def options(): + global rf + parser = OptionParser() + parser.add_option("-i", "--input", dest="i", + help="file of sequences") + (options, args) = parser.parse_args() + if (options.i != None): + rf = options.i + + +if __name__ == "__main__": + options() + print "------" + main() + calculetmix(1E-4) + diff --git a/experiments/genHamiltonian.py b/experiments/genHamiltonian.py new file mode 100644 index 0000000..deefc04 --- /dev/null +++ b/experiments/genHamiltonian.py @@ -0,0 +1,279 @@ +import networkx as nx +from networkx.algorithms import isomorphism +from math import * +import numpy as np +from optparse import OptionParser +import random as rd +from copy import * +from combinaisons import * + + +# Implemantation of the balanced gray code algorithm,construction B +# detailled in "Totally Balanced and exponentially Balanced Gray codes", +# A J. van Zanten, I.N. Suparta 2004 + + + +def bin(elem,n): + """Convertit un nombre en binaire""" + q = -1 + res =[0 for i in range(n)] + i = 1 + while q != 0: + q = elem // 2 + r = elem % 2 + res[n-i] = r + elem = q + i+=1 + return res + +def dec(ch,n): + l = len(ch) + acc = 0 + for i in range(l): + if ch[i]==1: + acc = acc + 2**(n-i-1) + return acc + + +def flatten(x): + result = [] + for el in x: + if hasattr(el, "__iter__") and not isinstance(el, basestring): + result.extend(flatten(el)) + else: + result.append(el) + return result + + + +def genereToutesLesSousListes(n,su): + # specificique puisque la taille mini est 2 et commence par [0,1] + print "n",n,"su",su + r= [[0,1]] + for j in xrange(su-2): + print j + rp = [] + for li in r : + for el in range(li[-1]+1,n): + rp += [ li+[el]] + r= [x for x in rp] + return r + + + + + +def extraitSousListe(Snm2,sublisIndex,n): + #l is sublistdindices + nm2 = len(Snm2) + indexOfSnm2 = xrange(nm2) + # l is an even positive number + #assert l >= 0 and l%2 == 0 and l<= nm2 + l = len(sublisIndex) + #print "l",l,"n",n,"len(Snm2)",nm2 + # we have to select l elements, but the two first are always selected + #Silindex = [0,1]+rd.sample(xrange(2,nm2),l-2) + Silindex = sublisIndex + Silindex.sort() + Sil = [Snm2[x] for x in Silindex] + + dif = list(set(indexOfSnm2)-set(Silindex)) + dif.sort() + + Uinitial=[[]] + UinitialIndex = [[]] + cur = 2 + + for k in xrange(2,l): + Uinitial += [[Snm2[x] for x in range(cur,Silindex[k])]] + UinitialIndex = [[x for x in range(cur,Silindex[k])]] + cur = Silindex[k]+1 + v = [Snm2[x] for x in range(cur,nm2)] + + #print "Snm2",Snm2,"Silindex",Silindex,"Sil",Sil,"dif",dif,"Uinitial",Uinitial,"UinitialIndex",UinitialIndex,"v",v + return (Silindex,Sil,Uinitial,v) + + + + +def replace(Silindex,Sil,u,n,l,v): + def uExtended(u,j,n): + # If j is odd, we are in u(n-1,n), and u(n,n-1) otherwise + (X,Y) = (n-1,n) if i%2 == 1 else (n,n-1) + + uir = [_ for _ in u[i]] + uir.reverse() + R = [_ for _ in u[i]]+ [X] + uir + [Y] + [_ for _ in u[i]] + return R + + lu = len(u) + + Up = [n-1]+[uExtended(u,i,n) for i in range(1,lu)] + + U=[] + for j in xrange(l-2+1): + U += [Sil[j]] + U += [Up[j]] + U += [Sil[-1]] + U += v + return flatten(U) + + +def generateGrayCode(Snm2,sublistdindices): + + #Snm2 = [3,2,3,1,3,2,3,1] + n= int(log(len(Snm2))/log(2))+2 + l=int(pow(2,n)/n) + #step 1 + (Silindex,Sil,Uinitial,v) = extraitSousListe(Snm2,sublistdindices,n) + + + #step 2 : replace in Snm2 and genereate U + U = replace(Silindex,Sil,Uinitial,n,l,v) + + #step 3 : compute V and W + V = [_ for _ in v] + V.reverse() + V += [n] + [_ for _ in v] + W = [n-1] + [_ for _ in Snm2] +[n] + + #step 4 : swap value n-1 and s1 in W + Wp = [W[1]] + [n-1] + [_ for _ in W[2:]] + + #step 5 : generate Sn + Ur = [_ for _ in U] + Ur.reverse() + + Sn = Ur + V + Wp + return Sn + + +def is_totallyBalanced(l): + res = [0 for _ in range(max(l))] + for j in l : + res[j-1] +=1 + return (max(res) == min(res)) + +def is_onlyBalanced(l): + res = [0 for _ in range(max(l))] + for j in l : + res[j-1] +=1 + return max(res)- min(res) < 3 + + +def grapheToList(G,n): + l2n = range(int(pow(2,n))) + edges = G.edges() + images = range(int(pow(2,n))) + for o in l2n: + e = o + eb= bin(e,n) + for j in range(n): + epb = bin(e,n) + epb[j] = 1-epb[j] + if (o,dec(epb,n)) in edges: + eb[j] = 1-eb[j] + images[o]=dec(eb,n) + return images + + +def Sn2map(l): + n= int(log(len(l))/log(2)) + init = bin(0,n) + cheminb=[] + a = copy(init) + for i in l: + a[n-i] = 1 - a[n-i] + cheminb += [copy(a)] + chemin=[dec(x,n) for x in cheminb] + lc = len(chemin) + enl=[(chemin[i%lc],chemin[(i+1)%lc]) for i in range(lc)] + assert len(set(range(int(pow(2,n))))-set(chemin)) == 0 + # cheminp est le chemin hamiltonien correspondant a l + # on construit la fonction sans ce chemin hamiltonien + G = nx.DiGraph() + for i in range(2**n): + ib = bin(i,n) + for k in range(n): + ibp = [_ for _ in ib] + ibp[k]=1-ibp[k] + # si l'arrete ne doit pas etre enlevee + if (i,dec(ibp,n)) not in enl : + G.add_edge(i,dec(ibp,n)) + + #resl = grapheToList(G,n) + return (G,grapheToList(G,n)) + + + + + + +def main(): + snm2 = [[1,2,1,2]] + #snm2 = [[4, 5, 6, 2, 6, 5, 1, 5, 6, 2, 6, 5, 3, 5, 6, 1, 6, 5, 4, 5, 6, 1, 3, 2, 3, 4, 1, 4, 6, 4, 1, 4, 3, 2, 3, 5, 3, 2, 3, 4, 1, 4, 3, 5, 2, 6, 2, 5, 3, 4, 1, 4, 3, 2, 3, 1, 4, 1, 3, 2, 1, 2, 4, 6]] + resG=[] + p = 3 + for k in range(p): + print "taille de snm2", len(snm2) + snm2p = [] + for sn in snm2 : + n= int(log(len(sn))/log(2))+2 + ln= int(pow(2,n)/n) + #subls = genereToutesLesSousListes(int(pow(2,n-2)),ln) + #print "subls",subls + ll = range(int(pow(2,n-2))) + #for l in subls: + compteur = 0 + for l in xuniqueCombinations(ll[2:], ln-2): + compteur +=1 + l = [0,1]+l + nouveauCode = generateGrayCode(sn,l) + + + flg = False + + (G,nc) = Sn2map(nouveauCode) + #on verifie que la fonction est nouvelle + if nx.is_strongly_connected(G): + if len(resG)==0: + resG.append(G) + flg=True + else : + def isomorphic(g1,g2): + GM = isomorphism.DiGraphMatcher(g1,g2) + return GM.is_isomorphic() + if all([not(isomorphic(G,g2)) for g2 in resG]): + resG.append(G) + flg=True + if is_onlyBalanced(nouveauCode) : + snm2p +=[nouveauCode] + if is_totallyBalanced(nouveauCode) : + print "TB", nc + else : + print "OB", nc + snm2=deepcopy(snm2p) + + + + + + + +def options(): + global rf + parser = OptionParser() + parser.add_option("-i", "--input", dest="i", + help="file of sequences") + (options, args) = parser.parse_args() + if (options.i != None): + rf = options.i + + +if __name__ == "__main__": + options() + print "------" + main() + + diff --git a/experiments/genPrologFile.py b/experiments/genPrologFile.py new file mode 100644 index 0000000..c166ee9 --- /dev/null +++ b/experiments/genPrologFile.py @@ -0,0 +1,109 @@ + + + +n=2 +deuxExpN = pow(2,n) + + + +def bin(elem,n): + """Convertit un nombre en binaire""" + q = -1 + res =[0 for i in range(n)] + i = 1 + while q != 0: + q = elem // 2 + r = elem % 2 + res[n-i] = r + elem = q + i+=1 + return res + +def dec(ch,n): + l = len(ch) + acc = 0 + for i in range(l): + if ch[i]==1: + acc = acc + 2**(n-i-1) + return acc + + +def dist(i,j): + ib = bin(i,deuxExpN) + jb = bin(j,deuxExpN) + return sum([1 if ib[k] !=jb[k] else 0 for k in range(deuxExpN)]) + +st = "sc"+str(n)+"(X1):-\n" +for i in range(1,deuxExpN): + st += "\t mmult(X1,X"+str(i)+",X"+str(i+1)+"),\n" +st += "\t summ(X1,X2,S2),\n" +for i in range(2,deuxExpN): + st += "\t summ(S"+str(i)+",X"+str(i+1)+",S"+str(i+1)+"),\n" +st += "\t touspositifs(S"+str(deuxExpN)+").\n\n" + + + + +st += "bistoc(X):-\n" +# construction de X +X=[] +for i in range(deuxExpN): + XL=[] + for j in range(deuxExpN) : + XL.append('M'+str(i)+"X"+str(j)) + + X.append(XL) + + +st += "\t X=" +str(X).replace('\'','')+",\n" + +# domaine des variables +for i in range(deuxExpN): + for j in range(deuxExpN): + if dist(i,j)> 1 : + st += "\t M"+str(i)+"X"+str(j)+" is 0 ,\n" + else : + if i == j : + st += "\t M"+str(i)+"X"+str(j)+" in 0.."+str(n)+",\n" + else : + st += "\t M"+str(i)+"X"+str(j)+" in 0..1"+",\n" + +# stochastiques + +for i in range(deuxExpN): + stl ="" + for j in range(deuxExpN): + stl += "M"+str(i)+"X"+str(j) +"+ " + stl = stl[:-2] + st += "\t "+stl + " #="+str(n)+" ,\n" + + +# bistochastiques + +for i in range(deuxExpN): + stl,stlb ="","" + for j in range(deuxExpN): + stlb += "M"+str(j)+"X"+str(i) +"+ " + stlb = stlb[:-2] + st += "\t "+stlb + " #="+str(n)+" ,\n" + + +# label +lbl= [] +for i in range(deuxExpN): + for j in range(deuxExpN): + lbl.append('M'+str(i)+"X"+str(j)) + +st += "\t label("+ str(lbl).replace('\'','')+"),\n" + +st+= "\t sc"+str(n)+"(X), \n" +st+= "\t open('res"+str(n)+".txt',append,Stream),\n" +st+= "\t write(Stream,X),\n" +st+= "\t close(Stream).\n\n" + +print st + + +""" + sc2(X). +""" diff --git a/experiments/hamiltonien4.txt b/experiments/hamiltonien4.txt new file mode 100644 index 0000000..bbcc33f --- /dev/null +++ b/experiments/hamiltonien4.txt @@ -0,0 +1,15 @@ +------ +[[14, 6, 12, 4, 15, 11, 8, 10, 5, 7, 13, 0, 1, 3, 9, 2], [14, 6, 12, 4, 15, 8, 1, 9, 5, 7, 13, 0, 11, 10, 3, 2], [14, 6, 12, 4, 15, 8, 11, 9, 5, 7, 13, 0, 2, 10, 3, 1], [14, 6, 12, 4, 15, 2, 8, 10, 5, 7, 13, 0, 11, 3, 9, 1], [14, 6, 12, 4, 15, 11, 1, 9, 5, 7, 13, 0, 2, 10, 3, 8], [14, 6, 9, 8, 15, 11, 1, 10, 5, 7, 13, 12, 2, 0, 3, 4], [14, 6, 9, 4, 15, 11, 8, 12, 5, 7, 13, 0, 2, 10, 3, 1], [14, 6, 9, 13, 15, 2, 8, 10, 5, 7, 4, 12, 11, 0, 3, 1], [14, 6, 9, 13, 15, 11, 8, 0, 5, 7, 4, 12, 2, 10, 3, 1], [14, 6, 15, 8, 3, 11, 13, 10, 5, 7, 4, 12, 2, 0, 9, 1], [14, 6, 15, 8, 9, 11, 13, 0, 5, 7, 4, 12, 2, 10, 3, 1]] +n 4 +F_1 [14, 6, 12, 4, 15, 11, 8, 10, 5, 7, 13, 0, 1, 3, 9, 2] 18 39 +F_2 [14, 6, 12, 4, 15, 8, 1, 9, 5, 7, 13, 0, 11, 10, 3, 2] 15 34 +F_3 [14, 6, 12, 4, 15, 8, 11, 9, 5, 7, 13, 0, 2, 10, 3, 1] 15 34 +F_4 [14, 6, 12, 4, 15, 2, 8, 10, 5, 7, 13, 0, 11, 3, 9, 1] 20 41 +F_5 [14, 6, 12, 4, 15, 11, 1, 9, 5, 7, 13, 0, 2, 10, 3, 8] 13 32 +F_6 [14, 6, 9, 8, 15, 11, 1, 10, 5, 7, 13, 12, 2, 0, 3, 4] 13 32 +F_7 [14, 6, 9, 4, 15, 11, 8, 12, 5, 7, 13, 0, 2, 10, 3, 1] 15 34 +F_8 [14, 6, 9, 13, 15, 2, 8, 10, 5, 7, 4, 12, 11, 0, 3, 1] 15 34 +F_9 [14, 6, 9, 13, 15, 11, 8, 0, 5, 7, 4, 12, 2, 10, 3, 1] 18 38 +F_10 [14, 6, 15, 8, 3, 11, 13, 10, 5, 7, 4, 12, 2, 0, 9, 1] 13 32 +F_11 [14, 6, 15, 8, 9, 11, 13, 0, 5, 7, 4, 12, 2, 10, 3, 1] 16 36 +[([14, 6, 12, 4, 15, 11, 1, 9, 5, 7, 13, 0, 2, 10, 3, 8], 13, 32), ([14, 6, 9, 8, 15, 11, 1, 10, 5, 7, 13, 12, 2, 0, 3, 4], 13, 32), ([14, 6, 15, 8, 3, 11, 13, 10, 5, 7, 4, 12, 2, 0, 9, 1], 13, 32), ([14, 6, 12, 4, 15, 8, 1, 9, 5, 7, 13, 0, 11, 10, 3, 2], 15, 34), ([14, 6, 12, 4, 15, 8, 11, 9, 5, 7, 13, 0, 2, 10, 3, 1], 15, 34), ([14, 6, 9, 4, 15, 11, 8, 12, 5, 7, 13, 0, 2, 10, 3, 1], 15, 34), ([14, 6, 9, 13, 15, 2, 8, 10, 5, 7, 4, 12, 11, 0, 3, 1], 15, 34), ([14, 6, 15, 8, 9, 11, 13, 0, 5, 7, 4, 12, 2, 10, 3, 1], 16, 36), ([14, 6, 12, 4, 15, 11, 8, 10, 5, 7, 13, 0, 1, 3, 9, 2], 18, 39), ([14, 6, 9, 13, 15, 11, 8, 0, 5, 7, 4, 12, 2, 10, 3, 1], 18, 38), ([14, 6, 12, 4, 15, 2, 8, 10, 5, 7, 13, 0, 11, 3, 9, 1], 20, 41)] diff --git a/experiments/hamiltonien5.txt b/experiments/hamiltonien5.txt new file mode 100644 index 0000000..e69de29 diff --git a/experiments/iter_f0d.eps b/experiments/iter_f0d.eps new file mode 100644 index 0000000..e69de29 diff --git a/experiments/mtrx.pl b/experiments/mtrx.pl new file mode 100644 index 0000000..f820f6c --- /dev/null +++ b/experiments/mtrx.pl @@ -0,0 +1,54 @@ +:-use_module(library(clpfd)). + + +% N is the dot product of lists V1 and V2. +dot(V1, V2, N) :- maplist(product,V1,V2,P), sumlist(P,N). +product(N1,N2,N3) :- N3 is N1*N2. + +% Matrix multiplication with matrices represented +% as lists of lists. M3 is the product of M1 and M2 +mmult(M1, M2, M3) :- transpose(M2,MT), maplist(mm_helper(MT), M1, M3). +mm_helper(M2, I1, M3) :- maplist(dot(I1), M2, M3). + + + + +suml([],[],[]). + +suml(L1,L2,[N|R2]):- + L1 = [E1|T1], + L2 = [E2|T2], + N is E1 + E2, + suml(T1,T2,R2). + + + +summ([],[],[]). +summ(M1,M2,[Lr|R2]):- + M1 = [E1|T1], + M2 = [E2|T2], + suml(E1,E2,Lr), + summ(T1,T2,R2). + + + +flatten(List, Flattened):- + flatten(List, [], Flattened). + +flatten([], Flattened, Flattened). +flatten([Item|Tail], L, Flattened):- + flatten(Item, L1, Flattened), + flatten(Tail, L, L1). +flatten(Item, Flattened, [Item|Flattened]):- + \+ is_list(Item). + +touspositifs(X):- + flatten(X,XF), + tp(XF). + +tp([]). +tp(X):- + X = [E|L], + E #>= 0, + tp(L). + diff --git a/experiments/prng.py b/experiments/prng.py new file mode 100644 index 0000000..0d6e0bc --- /dev/null +++ b/experiments/prng.py @@ -0,0 +1,108 @@ +from random import * +import numpy as np +from time import * +from math import * +from random import * + + + +# let elem be a integer. +# This function returns the binary value of elem +# expressed on n bits. +def bin(elem,n): + q = -1 + res =[0 for i in range(n)] + i = 1 + while q != 0: + q = elem // 2 + r = elem % 2 + res[n-i] = r + elem = q + i+=1 + return res + + +# let ch be a binary number expressed on n bits. +# This function returns the decimal value of this +# binary number. +def dec(ch,n): + l = len(ch) + acc = 0 + for i in range(l): + if ch[i]==1: + acc = acc + 2**(n-i-1) + return acc + + + +# Let be given a function f defined as a list of size 2^n +# that contains the images f[x] of the element at index x +# where x is an index, 0 <= x <= 2^n-1. +# Let X be an index, 0 <= x <= 2^n-1, and k be an index, 0 <= k <= n-1, +# this function returns the map fp such that fp[x][k] = y +# where y is x except at bit k where the value is the bit f[x][k]. +def f_to_map(f): + # size of + lf = len(f) + # number of bits + n= int(log(len(f))/log(2)) + # fp is the returned two dimensional array + fp = np.zeros((2**n,n)) + for i in xrange(lf): + ib = bin(i,n) + imgib = bin(f[i],n) + for j in xrange(n): + ibp = [_ for _ in ib] + ibp[j] = imgib[j] + fp[i,j] = dec(ibp,n) + return fp + + + +# let fmap be a function expressed as a map. +# let n be the largest value returned by the prng (i.e. the number of bits) +# let randf be a prng that can return integer from 0 to n-1 +# let b be the number of iterations +# le x0 be a integer value such that 0 <= x0 <= 2^n-1 +def ourPrng(fmap,n,randf,b,x0): + x = x0 + for _ in xrange(b): + s = randf(0,n-1) + x = fmap[x][s] + return x + + + +# Let be given a function f defined as a list of size N +# that contains the images f[x] of the element at index x and +# let b be the number of iterations that has to be executed and +# rand be a prng that can randomly find integer between two bounds. +# This function cumputes the NxN array successors such that +# successors[i][j] is the number of times i has been followed by j +# where 0 <= i <= N-1 and 0 <= j <= N-1. +def testPrng(f,rand,b): + lf = len(f) + successors=[[0 for _ in range(lf)] for _ in range(lf)] + x0 = 0 + fp = f_to_map(f) + n= int(log(len(f))/log(2)) + for _ in range(lf*lf*1000): + old_x = x0 + x0 = int(ourPrng(fp,n,rand,b,x0)) + successors[old_x][x0] +=1 + return successors + +def main(): + l1 = testPrng([13, 10, 9, 14, 3, 11, 1, 12, 15, 4, 7, 5, 2, 6, 0, 8],randint,32) + print l1 + l2 = testPrng([55, 60, 45, 56, 58, 62, 61, 40, 53, 38, 52, 54, 35, 51, 33, 49, 39, 14, 47, 46, 59, 43, 57, 44, 37, 6, 36, 4, 3, 50, 1, 48, 63, 26, 25, 30, 19, 27, 17, 28, 31, 20, 23, 21, 18, 22, 16, 24, 13, 12, 29, 8, 10, 42, 41, 0, 15, 2, 7, 5, 11, 34, 9, 32],randint,49) + print l2 + l3 = testPrng([223, 250, 249, 254, 187, 234, 241, 252, 183, 230, 229, 180, 227, 178, 240, 248, 237, 236, 253, 172, 251, 238, 201, 224, 247, 166, 165, 244, 163, 242, 161, 225, 215, 220, 205, 216, 218, 222, 221, 208, 213, 210, 212, 214, 219, 211, 217, 209, 239, 142, 207, 206, 139, 203, 193, 136, 135, 196, 199, 132, 194, 130, 129, 200, 159, 186, 185, 190, 59, 170, 177, 188, 191, 246, 245, 52, 243, 50, 176, 184, 173, 46, 189, 174, 235, 42, 233, 232, 231, 38, 37, 228, 35, 226, 33, 168, 151, 156, 141, 152, 154, 158, 157, 144, 149, 146, 148, 150, 155, 147, 153, 145, 175, 14, 143, 204, 11, 202, 169, 8, 7, 198, 197, 4, 195, 2, 1, 192, 255, 124, 109, 120, 107, 126, 125, 112, 103, 114, 116, 100, 123, 98, 121, 113, 79, 106, 111, 110, 75, 122, 97, 108, 71, 118, 117, 68, 115, 66, 96, 104, 127, 90, 89, 94, 83, 91, 81, 92, 95, 84, 87, 85, 82, 86, 80, 88, 77, 76, 93, 72, 74, 78, 105, 64, 69, 102, 101, 70, 99, 67, 73, 65, 55, 60, 45, 56, 51, 62, 61, 48, 119, 182, 181, 53, 179, 54, 57, 49, 15, 44, 47, 40, 171, 58, 9, 32, 167, 6, 5, 164, 3, 162, 41, 160, 63, 26, 25, 30, 19, 27, 17, 28, 31, 20, 23, 21, 18, 22, 16, 24, 13, 10, 29, 140, 43, 138, 137, 12, 39, 134, 133, 36, 131, 34, 0, 128],randint,75) + print l3 + + +if __name__ == "__main__": + main() + + + diff --git a/experiments/qian/analyseReport.py b/experiments/qian/analyseReport.py new file mode 100644 index 0000000..8e24efc --- /dev/null +++ b/experiments/qian/analyseReport.py @@ -0,0 +1,84 @@ +lf = ['finalAnalysisReport_jf_oldci_stable_b_4bit.txt', 'finalAnalysisReport_jf_oldci_stable_b_6bit.txt','finalAnalysisReport_jf_oldci_stable_b_8bit.txt'] + +fd =[open(f,"r") for f in lf] + +lignes=[fdi.readlines()[7:] for fdi in fd] + +label = ["Frequency (Monobit)","Frequency within a Block","Runs","Longest Run of Ones in a Block","Binary Matrix Rank","Discrete Fourier Transform (Spectral)","Non-overlapping Template Matching*","Overlapping Template Matching","Maurer's \"Universal Statistical\"","Linear Complexity","Serial* (m=10)","Approximate Entropy (m=10)","Cumulative Sums (Cusum) *","Random Excursions *","Random Excursions Variant *"] + +endl="\\\\ \\hline \n" + + +st="" + +#freq + +def traitenlignes(num1,num2): + sti="" + for l in lignes: + #calcul des moyennes mv ms + mv,ms=0,0 + for j in range(num1,num2+1): + + stl=[] + for x in l[j].split(" "): + if x !='': + stl += [x] + + idxdiv = 0 + for i in range(len(stl)): + if stl[i].find('/') != -1: + idxdiv = i + mv += float(stl[idxdiv-1]) + rate = stl[idxdiv].split("/") + ms += float(rate[0])/float(rate[1]) + + sti += "& " + str(mv/(num2-num1+1))[:5] + " (" + str(ms/(num2-num1+1))[0:5] +")" + return sti + endl + + + +def traite1ligne(numl): + sti="" + for l in lignes: + stl=[] + splitee = l[numl].split(" ") + for x in l[numl].split(" "): + if x !='': + stl += [x] + + idxdiv = 0 + for i in range(len(stl)): + #print splitee[i],i + if stl[i].find('/') != -1: + idxdiv = i + #print idxdiv + + r = str(float(stl[idxdiv].split("/")[0])/100) + sti += "& " + stl[idxdiv-1][:5] + " (" + r[0:5]+")" + return sti + endl + +st += label[0] + traite1ligne(0) +st += label[1] + traite1ligne(1) +st += label[2] + traite1ligne(4) +st += label[3] + traite1ligne(5) +st += label[4] + traite1ligne(6) +st += label[5] + traite1ligne(7) +st += label[6] + traitenlignes(8,155) +st += label[7] + traite1ligne(156) +st += label[8] + traite1ligne(157) +st += label[9] + traite1ligne(185) +st += label[10] + traitenlignes(185,186) +st += label[11] + traite1ligne(187) +st += label[12] + traitenlignes(2,3) +st += label[13] + traitenlignes(159,166) +st += label[14] + traitenlignes(167,184) + + +print st + + + + + + diff --git a/experiments/qian/analyseReport.py~ b/experiments/qian/analyseReport.py~ new file mode 100644 index 0000000..8d1c8b6 --- /dev/null +++ b/experiments/qian/analyseReport.py~ @@ -0,0 +1 @@ + diff --git a/experiments/qian/finalAnalysisReport_jf_oldci_stable_b_4bit.txt b/experiments/qian/finalAnalysisReport_jf_oldci_stable_b_4bit.txt new file mode 100644 index 0000000..a482892 --- /dev/null +++ b/experiments/qian/finalAnalysisReport_jf_oldci_stable_b_4bit.txt @@ -0,0 +1,208 @@ +------------------------------------------------------------------------------ +RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES +------------------------------------------------------------------------------ + generator is +------------------------------------------------------------------------------ + C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST +------------------------------------------------------------------------------ + 9 10 10 6 13 9 9 15 7 12 0.678686 99/100 Frequency + 12 5 8 16 5 15 6 13 11 9 0.102526 99/100 BlockFrequency + 9 8 5 12 11 12 9 14 9 11 0.759756 99/100 CumulativeSums + 9 7 13 12 5 6 10 15 11 12 0.401199 99/100 CumulativeSums + 12 12 10 6 12 5 17 5 10 11 0.171867 98/100 Runs + 9 12 13 7 4 9 11 11 6 18 0.115387 98/100 LongestRun + 10 6 11 9 14 11 7 13 14 5 0.401199 97/100 Rank + 14 12 10 10 13 8 8 12 9 4 0.554420 98/100 FFT + 8 9 9 10 14 10 10 16 6 8 0.554420 100/100 NonOverlappingTemplate + 7 10 12 10 2 13 8 5 17 16 0.017912 100/100 NonOverlappingTemplate + 9 8 12 11 10 13 8 7 12 10 0.935716 98/100 NonOverlappingTemplate + 8 15 11 6 5 8 7 13 12 15 0.202268 100/100 NonOverlappingTemplate + 12 14 10 7 8 7 16 6 10 10 0.401199 99/100 NonOverlappingTemplate + 12 11 12 11 11 7 13 5 9 9 0.779188 99/100 NonOverlappingTemplate + 12 13 10 7 3 9 11 13 10 12 0.474986 96/100 NonOverlappingTemplate + 9 12 11 6 11 11 11 12 7 10 0.924076 98/100 NonOverlappingTemplate + 9 10 11 12 9 11 12 7 13 6 0.867692 99/100 NonOverlappingTemplate + 10 10 8 10 11 6 17 16 6 6 0.129620 99/100 NonOverlappingTemplate + 11 8 16 13 6 2 8 11 9 16 0.045675 98/100 NonOverlappingTemplate + 7 12 14 10 15 8 11 5 8 10 0.455937 100/100 NonOverlappingTemplate + 15 7 12 14 10 11 9 6 12 4 0.262249 99/100 NonOverlappingTemplate + 8 10 9 13 11 8 14 11 13 3 0.401199 99/100 NonOverlappingTemplate + 8 9 7 22 9 8 4 11 10 12 0.015598 99/100 NonOverlappingTemplate + 9 7 6 14 11 14 16 8 8 7 0.262249 99/100 NonOverlappingTemplate + 7 10 6 11 14 12 12 11 5 12 0.534146 99/100 NonOverlappingTemplate + 7 14 7 14 7 8 17 8 9 9 0.224821 100/100 NonOverlappingTemplate + 8 12 9 9 7 10 12 14 11 8 0.883171 100/100 NonOverlappingTemplate + 11 8 6 12 10 8 12 14 9 10 0.834308 100/100 NonOverlappingTemplate + 10 10 11 14 13 8 11 7 7 9 0.834308 100/100 NonOverlappingTemplate + 8 7 8 14 6 7 17 8 17 8 0.058984 98/100 NonOverlappingTemplate + 12 10 8 8 6 9 10 11 11 15 0.779188 98/100 NonOverlappingTemplate + 8 7 11 9 11 12 10 10 12 10 0.983453 100/100 NonOverlappingTemplate + 17 8 6 10 7 10 11 8 12 11 0.455937 96/100 NonOverlappingTemplate + 8 6 16 8 10 10 12 11 9 10 0.678686 99/100 NonOverlappingTemplate + 9 11 8 5 14 13 11 8 13 8 0.595549 99/100 NonOverlappingTemplate + 9 13 9 10 4 10 14 8 13 10 0.574903 98/100 NonOverlappingTemplate + 8 9 17 7 7 12 4 10 11 15 0.129620 100/100 NonOverlappingTemplate + 6 5 11 7 13 6 14 11 5 22 0.001895 99/100 NonOverlappingTemplate + 10 7 12 6 10 10 9 10 12 14 0.834308 99/100 NonOverlappingTemplate + 8 14 13 8 13 9 10 7 9 9 0.798139 99/100 NonOverlappingTemplate + 5 9 15 9 11 8 10 12 9 12 0.678686 100/100 NonOverlappingTemplate + 5 9 12 8 12 9 18 8 9 10 0.289667 98/100 NonOverlappingTemplate + 10 5 5 6 9 15 14 12 12 12 0.213309 98/100 NonOverlappingTemplate + 6 14 10 12 5 14 7 11 12 9 0.419021 100/100 NonOverlappingTemplate + 7 15 5 7 12 15 9 9 11 10 0.350485 100/100 NonOverlappingTemplate + 9 16 10 7 12 8 12 9 9 8 0.699313 99/100 NonOverlappingTemplate + 10 13 14 6 9 9 10 9 9 11 0.867692 98/100 NonOverlappingTemplate + 11 13 8 11 5 7 11 11 9 14 0.657933 99/100 NonOverlappingTemplate + 10 15 11 8 12 9 9 11 9 6 0.798139 100/100 NonOverlappingTemplate + 10 8 15 9 7 12 7 12 11 9 0.759756 100/100 NonOverlappingTemplate + 11 12 10 11 13 10 8 13 9 3 0.554420 98/100 NonOverlappingTemplate + 16 7 8 12 13 12 10 3 14 5 0.075719 100/100 NonOverlappingTemplate + 15 11 15 9 14 3 6 8 12 7 0.090936 100/100 NonOverlappingTemplate + 9 8 6 7 11 9 10 13 11 16 0.554420 98/100 NonOverlappingTemplate + 14 5 7 7 10 12 13 7 14 11 0.366918 97/100 NonOverlappingTemplate + 7 7 15 10 14 6 10 9 8 14 0.383827 99/100 NonOverlappingTemplate + 9 9 13 12 8 10 11 7 11 10 0.964295 99/100 NonOverlappingTemplate + 5 17 6 16 5 6 12 14 10 9 0.026948 100/100 NonOverlappingTemplate + 6 12 9 10 11 8 9 8 15 12 0.739918 99/100 NonOverlappingTemplate + 3 13 7 12 8 6 8 13 11 19 0.028817 100/100 NonOverlappingTemplate + 6 12 10 10 11 12 11 10 9 9 0.971699 98/100 NonOverlappingTemplate + 12 14 8 13 9 8 7 11 8 10 0.816537 99/100 NonOverlappingTemplate + 13 14 8 8 9 9 8 12 9 10 0.883171 99/100 NonOverlappingTemplate + 11 10 9 12 10 12 6 14 5 11 0.657933 99/100 NonOverlappingTemplate + 8 7 11 5 14 15 11 9 12 8 0.437274 99/100 NonOverlappingTemplate + 6 11 10 12 12 12 11 10 7 9 0.911413 100/100 NonOverlappingTemplate + 8 7 9 9 13 5 13 12 9 15 0.455937 99/100 NonOverlappingTemplate + 10 6 11 12 6 11 10 13 10 11 0.851383 100/100 NonOverlappingTemplate + 15 6 13 11 14 9 7 9 10 6 0.401199 97/100 NonOverlappingTemplate + 5 7 13 11 14 9 12 10 13 6 0.437274 100/100 NonOverlappingTemplate + 12 10 7 7 8 10 11 16 13 6 0.455937 100/100 NonOverlappingTemplate + 10 9 11 5 9 18 11 8 8 11 0.334538 100/100 NonOverlappingTemplate + 11 10 9 9 16 12 9 6 10 8 0.699313 99/100 NonOverlappingTemplate + 8 9 8 8 12 9 11 15 10 10 0.883171 100/100 NonOverlappingTemplate + 9 7 14 10 16 10 7 17 5 5 0.048716 99/100 NonOverlappingTemplate + 6 14 8 13 8 11 15 7 10 8 0.455937 100/100 NonOverlappingTemplate + 8 9 13 10 7 11 11 9 13 9 0.935716 100/100 NonOverlappingTemplate + 11 12 11 8 10 13 4 13 7 11 0.595549 99/100 NonOverlappingTemplate + 16 7 14 8 8 5 10 12 11 9 0.350485 96/100 NonOverlappingTemplate + 7 5 9 8 7 11 11 13 15 14 0.350485 99/100 NonOverlappingTemplate + 7 14 10 16 9 8 7 8 9 12 0.494392 98/100 NonOverlappingTemplate + 10 8 9 14 8 11 8 9 9 14 0.851383 100/100 NonOverlappingTemplate + 8 9 9 10 14 10 10 16 6 8 0.554420 100/100 NonOverlappingTemplate + 17 6 9 9 12 10 7 7 14 9 0.304126 98/100 NonOverlappingTemplate + 7 15 8 6 8 9 14 10 14 9 0.419021 98/100 NonOverlappingTemplate + 12 10 12 10 13 6 4 12 11 10 0.595549 100/100 NonOverlappingTemplate + 13 11 10 7 13 7 11 14 7 7 0.616305 98/100 NonOverlappingTemplate + 5 16 10 8 10 13 13 10 10 5 0.289667 99/100 NonOverlappingTemplate + 6 12 8 13 9 15 10 8 11 8 0.657933 98/100 NonOverlappingTemplate + 11 11 11 10 9 14 12 4 7 11 0.637119 97/100 NonOverlappingTemplate + 9 7 9 6 11 9 12 15 10 12 0.719747 99/100 NonOverlappingTemplate + 20 8 16 6 7 4 11 13 9 6 0.006661 98/100 NonOverlappingTemplate + 11 10 10 12 8 9 10 9 11 10 0.998821 99/100 NonOverlappingTemplate + 7 11 9 10 10 5 11 15 13 9 0.616305 98/100 NonOverlappingTemplate + 11 12 14 10 11 11 17 5 4 5 0.071177 100/100 NonOverlappingTemplate + 17 11 9 11 15 4 9 11 7 6 0.122325 99/100 NonOverlappingTemplate + 7 10 9 6 7 17 10 14 11 9 0.334538 99/100 NonOverlappingTemplate + 10 6 7 11 9 13 7 14 11 12 0.678686 100/100 NonOverlappingTemplate + 6 12 10 9 10 5 11 12 12 13 0.699313 100/100 NonOverlappingTemplate + 8 8 11 15 10 8 12 11 11 6 0.739918 100/100 NonOverlappingTemplate + 16 7 10 12 11 11 11 6 8 8 0.574903 97/100 NonOverlappingTemplate + 12 7 12 8 12 11 6 14 6 12 0.554420 100/100 NonOverlappingTemplate + 19 8 8 13 11 11 8 10 7 5 0.129620 98/100 NonOverlappingTemplate + 16 13 12 8 8 10 11 5 14 3 0.096578 97/100 NonOverlappingTemplate + 8 14 9 8 12 6 11 8 8 16 0.437274 100/100 NonOverlappingTemplate + 13 12 7 7 7 10 7 14 9 14 0.514124 99/100 NonOverlappingTemplate + 9 6 6 7 13 10 14 5 15 15 0.115387 100/100 NonOverlappingTemplate + 6 12 12 13 7 11 13 8 10 8 0.739918 99/100 NonOverlappingTemplate + 11 16 12 5 12 10 12 8 11 3 0.171867 99/100 NonOverlappingTemplate + 4 10 10 11 10 6 11 13 10 15 0.455937 98/100 NonOverlappingTemplate + 13 4 13 10 11 13 11 9 6 10 0.514124 98/100 NonOverlappingTemplate + 8 8 10 9 11 12 12 13 14 3 0.419021 99/100 NonOverlappingTemplate + 10 13 7 9 11 11 11 8 7 13 0.883171 100/100 NonOverlappingTemplate + 10 3 9 15 10 15 10 6 13 9 0.181557 99/100 NonOverlappingTemplate + 9 11 13 4 15 6 8 9 13 12 0.304126 99/100 NonOverlappingTemplate + 9 11 13 7 12 9 8 7 15 9 0.699313 100/100 NonOverlappingTemplate + 14 6 13 9 14 8 11 8 4 13 0.262249 99/100 NonOverlappingTemplate + 8 15 7 12 8 12 10 8 8 12 0.719747 100/100 NonOverlappingTemplate + 9 9 6 10 12 14 15 8 10 7 0.574903 98/100 NonOverlappingTemplate + 12 13 9 12 13 8 8 9 9 7 0.867692 100/100 NonOverlappingTemplate + 14 9 8 7 13 13 10 11 6 9 0.678686 100/100 NonOverlappingTemplate + 5 10 13 10 7 13 8 11 9 14 0.595549 98/100 NonOverlappingTemplate + 7 5 15 14 10 8 12 8 9 12 0.419021 100/100 NonOverlappingTemplate + 10 14 8 9 14 5 8 9 12 11 0.616305 97/100 NonOverlappingTemplate + 9 19 12 8 9 10 5 10 5 13 0.090936 99/100 NonOverlappingTemplate + 8 14 10 8 10 11 9 9 17 4 0.262249 99/100 NonOverlappingTemplate + 12 11 10 9 12 7 11 7 13 8 0.897763 98/100 NonOverlappingTemplate + 11 15 11 12 10 8 9 10 5 9 0.719747 99/100 NonOverlappingTemplate + 11 16 12 7 10 9 13 13 6 3 0.145326 100/100 NonOverlappingTemplate + 14 14 6 7 12 10 14 7 8 8 0.401199 99/100 NonOverlappingTemplate + 11 7 14 4 9 9 9 11 12 14 0.474986 99/100 NonOverlappingTemplate + 8 8 12 15 14 7 7 11 9 9 0.595549 99/100 NonOverlappingTemplate + 10 13 10 10 10 7 5 14 10 11 0.739918 99/100 NonOverlappingTemplate + 10 6 8 10 14 11 9 9 10 13 0.851383 100/100 NonOverlappingTemplate + 12 7 15 11 9 15 9 8 5 9 0.383827 99/100 NonOverlappingTemplate + 9 10 9 9 10 11 14 13 7 8 0.897763 98/100 NonOverlappingTemplate + 8 9 15 12 15 8 12 9 9 3 0.224821 100/100 NonOverlappingTemplate + 11 9 9 14 14 12 6 5 11 9 0.514124 100/100 NonOverlappingTemplate + 10 15 7 12 12 3 12 13 9 7 0.249284 98/100 NonOverlappingTemplate + 7 9 7 12 9 7 7 13 15 14 0.419021 100/100 NonOverlappingTemplate + 13 10 11 8 13 7 2 11 14 11 0.249284 100/100 NonOverlappingTemplate + 9 18 8 11 10 15 7 9 8 5 0.145326 97/100 NonOverlappingTemplate + 8 12 11 8 16 12 6 8 7 12 0.474986 100/100 NonOverlappingTemplate + 11 11 10 14 8 16 5 13 6 6 0.191687 99/100 NonOverlappingTemplate + 11 8 11 10 10 10 7 9 13 11 0.978072 99/100 NonOverlappingTemplate + 5 12 14 8 7 10 13 13 9 9 0.554420 100/100 NonOverlappingTemplate + 11 11 10 7 12 6 11 8 10 14 0.816537 99/100 NonOverlappingTemplate + 12 9 7 8 7 14 10 12 10 11 0.851383 99/100 NonOverlappingTemplate + 8 12 8 12 9 10 10 9 14 8 0.924076 99/100 NonOverlappingTemplate + 13 11 3 4 7 12 15 12 16 7 0.032923 100/100 NonOverlappingTemplate + 12 15 8 5 10 13 13 7 8 9 0.437274 100/100 NonOverlappingTemplate + 9 7 6 9 10 13 14 7 14 11 0.554420 99/100 NonOverlappingTemplate + 8 9 8 8 16 10 9 11 10 11 0.816537 98/100 NonOverlappingTemplate + 13 7 8 3 14 12 15 5 13 10 0.090936 99/100 NonOverlappingTemplate + 8 6 4 12 9 11 8 15 11 16 0.171867 100/100 NonOverlappingTemplate + 10 8 9 14 9 10 8 9 9 14 0.883171 100/100 NonOverlappingTemplate + 17 9 13 8 8 11 6 11 8 9 0.437274 99/100 OverlappingTemplate + 14 7 9 3 11 14 15 7 11 9 0.171867 99/100 Universal + 7 11 14 6 9 10 14 7 10 12 0.616305 100/100 ApproximateEntropy + 7 6 2 10 5 8 5 6 2 6 0.224821 55/57 RandomExcursions + 9 5 6 4 8 6 2 7 4 6 0.474986 55/57 RandomExcursions + 6 4 4 11 8 10 4 4 2 4 0.048716 56/57 RandomExcursions + 8 9 5 8 1 7 4 2 8 5 0.102526 55/57 RandomExcursions + 12 2 6 10 2 3 5 4 8 5 0.010988 57/57 RandomExcursions + 9 8 5 7 4 7 2 6 4 5 0.437274 57/57 RandomExcursions + 9 5 8 4 4 7 6 2 5 7 0.437274 55/57 RandomExcursions + 11 7 7 4 4 3 7 6 3 5 0.224821 57/57 RandomExcursions + 8 7 6 6 9 4 4 5 2 6 0.474986 56/57 RandomExcursionsVariant + 8 8 8 4 7 4 6 4 2 6 0.437274 57/57 RandomExcursionsVariant + 6 11 2 9 10 4 0 4 4 7 0.004629 56/57 RandomExcursionsVariant + 6 7 10 9 9 0 8 2 2 4 0.006196 56/57 RandomExcursionsVariant + 8 5 8 12 7 3 7 1 3 3 0.014550 56/57 RandomExcursionsVariant + 8 4 11 5 7 7 4 2 4 5 0.162606 55/57 RandomExcursionsVariant + 5 6 5 3 8 5 8 6 6 5 0.834308 57/57 RandomExcursionsVariant + 8 5 4 10 5 1 5 4 7 8 0.162606 57/57 RandomExcursionsVariant + 12 4 6 4 5 4 6 6 6 4 0.249284 55/57 RandomExcursionsVariant + 8 5 6 5 3 9 3 7 3 8 0.334538 57/57 RandomExcursionsVariant + 6 9 3 6 6 8 2 8 3 6 0.275709 56/57 RandomExcursionsVariant + 6 8 6 5 5 6 4 3 7 7 0.834308 57/57 RandomExcursionsVariant + 7 4 2 9 9 4 7 3 7 5 0.224821 57/57 RandomExcursionsVariant + 6 7 8 8 5 5 3 2 6 7 0.514124 57/57 RandomExcursionsVariant + 5 15 5 4 5 4 2 5 4 8 0.003996 57/57 RandomExcursionsVariant + 7 12 9 1 3 3 3 8 5 6 0.010988 57/57 RandomExcursionsVariant + 7 5 7 8 4 6 2 6 6 6 0.719747 57/57 RandomExcursionsVariant + 7 3 6 14 3 2 3 3 8 8 0.002203 57/57 RandomExcursionsVariant + 6 8 12 9 19 9 10 6 9 12 0.171867 100/100 Serial + 7 11 11 15 10 9 11 5 10 11 0.699313 100/100 Serial + 9 19 9 10 10 12 12 5 6 8 0.137282 98/100 LinearComplexity + + +- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +The minimum pass rate for each statistical test with the exception of the +random excursion (variant) test is approximately = 96 for a +sample size = 100 binary sequences. + +The minimum pass rate for the random excursion (variant) test +is approximately = 54 for a sample size = 57 binary sequences. + +For further guidelines construct a probability table using the MAPLE program +provided in the addendum section of the documentation. +- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/experiments/qian/finalAnalysisReport_jf_oldci_stable_b_6bit.txt b/experiments/qian/finalAnalysisReport_jf_oldci_stable_b_6bit.txt new file mode 100644 index 0000000..9354d9f --- /dev/null +++ b/experiments/qian/finalAnalysisReport_jf_oldci_stable_b_6bit.txt @@ -0,0 +1,208 @@ +------------------------------------------------------------------------------ +RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES +------------------------------------------------------------------------------ + generator is +------------------------------------------------------------------------------ + C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST +------------------------------------------------------------------------------ + 9 10 5 6 10 14 13 10 13 10 0.574903 99/100 Frequency + 11 12 7 13 11 9 9 6 13 9 0.816537 98/100 BlockFrequency + 8 7 10 13 6 8 12 9 12 15 0.574903 99/100 CumulativeSums + 8 4 13 6 12 16 11 6 12 12 0.162606 99/100 CumulativeSums + 11 5 14 11 8 10 14 10 9 8 0.657933 98/100 Runs + 14 9 9 12 8 5 12 10 14 7 0.534146 100/100 LongestRun + 10 12 12 8 9 14 6 9 6 14 0.554420 99/100 Rank + 14 15 10 6 12 9 9 11 4 10 0.350485 98/100 FFT + 9 15 14 7 6 10 10 6 8 15 0.262249 98/100 NonOverlappingTemplate + 6 14 10 10 7 9 7 12 9 16 0.419021 100/100 NonOverlappingTemplate + 5 11 14 8 12 8 8 9 17 8 0.262249 100/100 NonOverlappingTemplate + 9 7 10 8 18 8 12 9 11 8 0.419021 100/100 NonOverlappingTemplate + 9 7 7 14 13 9 9 8 8 16 0.437274 100/100 NonOverlappingTemplate + 8 15 5 11 12 14 7 4 8 16 0.066882 98/100 NonOverlappingTemplate + 11 8 13 11 10 13 10 13 9 2 0.366918 100/100 NonOverlappingTemplate + 14 16 15 8 4 14 4 10 9 6 0.028817 98/100 NonOverlappingTemplate + 11 8 11 13 5 12 9 12 11 8 0.798139 98/100 NonOverlappingTemplate + 14 9 11 15 5 5 10 10 9 12 0.366918 99/100 NonOverlappingTemplate + 12 9 7 12 15 10 6 11 9 9 0.719747 100/100 NonOverlappingTemplate + 10 11 6 13 6 10 14 9 12 9 0.699313 99/100 NonOverlappingTemplate + 11 8 11 7 14 9 15 9 9 7 0.657933 98/100 NonOverlappingTemplate + 9 5 16 11 10 11 7 8 13 10 0.474986 99/100 NonOverlappingTemplate + 7 11 9 13 8 13 21 10 4 4 0.007160 99/100 NonOverlappingTemplate + 16 11 14 11 6 11 9 8 7 7 0.401199 97/100 NonOverlappingTemplate + 12 16 12 11 10 6 8 8 10 7 0.554420 99/100 NonOverlappingTemplate + 11 10 12 12 12 7 5 10 14 7 0.616305 100/100 NonOverlappingTemplate + 13 10 15 9 11 10 12 6 8 6 0.574903 99/100 NonOverlappingTemplate + 9 9 8 9 13 12 12 9 9 10 0.978072 99/100 NonOverlappingTemplate + 14 6 8 9 15 5 10 20 3 10 0.004981 99/100 NonOverlappingTemplate + 8 6 13 10 7 12 13 12 7 12 0.657933 100/100 NonOverlappingTemplate + 9 9 10 9 9 10 10 10 16 8 0.883171 100/100 NonOverlappingTemplate + 6 17 9 11 13 7 15 12 4 6 0.055361 98/100 NonOverlappingTemplate + 5 9 15 7 16 8 8 10 12 10 0.289667 100/100 NonOverlappingTemplate + 7 7 12 12 9 7 8 14 15 9 0.514124 99/100 NonOverlappingTemplate + 8 11 5 9 13 11 12 12 9 10 0.834308 99/100 NonOverlappingTemplate + 9 6 12 12 16 6 11 8 9 11 0.494392 100/100 NonOverlappingTemplate + 8 9 7 6 10 9 18 12 10 11 0.350485 100/100 NonOverlappingTemplate + 7 12 4 14 16 11 14 8 5 9 0.096578 99/100 NonOverlappingTemplate + 11 11 9 13 12 7 14 8 7 8 0.759756 100/100 NonOverlappingTemplate + 10 11 4 9 12 8 12 12 9 13 0.699313 100/100 NonOverlappingTemplate + 15 15 8 9 11 15 5 7 4 11 0.085587 97/100 NonOverlappingTemplate + 12 9 10 10 14 9 9 8 10 9 0.971699 99/100 NonOverlappingTemplate + 6 14 6 13 8 9 10 14 10 10 0.554420 100/100 NonOverlappingTemplate + 13 11 4 6 11 12 13 14 9 7 0.334538 98/100 NonOverlappingTemplate + 7 9 9 11 8 11 10 8 14 13 0.867692 99/100 NonOverlappingTemplate + 18 14 12 5 14 8 13 7 5 4 0.013569 100/100 NonOverlappingTemplate + 9 16 7 8 7 7 17 5 14 10 0.071177 100/100 NonOverlappingTemplate + 7 9 13 7 7 10 16 12 8 11 0.514124 99/100 NonOverlappingTemplate + 16 5 9 9 8 8 6 11 12 16 0.171867 99/100 NonOverlappingTemplate + 7 11 8 8 11 11 7 14 6 17 0.275709 99/100 NonOverlappingTemplate + 12 11 7 9 8 13 11 5 9 15 0.534146 99/100 NonOverlappingTemplate + 7 6 6 16 14 13 5 10 12 11 0.153763 98/100 NonOverlappingTemplate + 11 7 6 8 11 9 14 12 10 12 0.779188 100/100 NonOverlappingTemplate + 9 13 10 12 8 9 9 8 15 7 0.759756 99/100 NonOverlappingTemplate + 14 8 12 12 11 5 7 4 12 15 0.171867 99/100 NonOverlappingTemplate + 10 10 17 8 5 10 12 15 8 5 0.137282 98/100 NonOverlappingTemplate + 10 11 13 9 18 7 10 10 9 3 0.145326 99/100 NonOverlappingTemplate + 10 9 17 13 8 5 9 13 8 8 0.304126 100/100 NonOverlappingTemplate + 5 11 11 8 10 11 11 16 10 7 0.554420 98/100 NonOverlappingTemplate + 8 11 15 10 8 9 12 9 7 11 0.834308 100/100 NonOverlappingTemplate + 10 17 11 11 9 7 9 10 10 6 0.554420 99/100 NonOverlappingTemplate + 12 10 11 7 10 10 3 14 11 12 0.494392 100/100 NonOverlappingTemplate + 10 4 3 9 13 10 12 18 12 9 0.051942 100/100 NonOverlappingTemplate + 13 10 10 10 10 3 9 10 8 17 0.262249 100/100 NonOverlappingTemplate + 10 9 16 10 10 9 5 5 18 8 0.075719 100/100 NonOverlappingTemplate + 11 11 9 8 11 12 13 10 6 9 0.924076 100/100 NonOverlappingTemplate + 10 12 8 11 11 6 14 8 9 11 0.851383 100/100 NonOverlappingTemplate + 11 12 10 14 12 6 11 8 9 7 0.779188 100/100 NonOverlappingTemplate + 11 9 12 8 8 14 12 4 11 11 0.616305 98/100 NonOverlappingTemplate + 10 11 6 6 11 6 14 15 11 10 0.419021 99/100 NonOverlappingTemplate + 13 13 12 9 8 12 8 7 11 7 0.798139 98/100 NonOverlappingTemplate + 8 14 10 7 7 8 13 13 12 8 0.657933 99/100 NonOverlappingTemplate + 10 8 6 12 11 11 11 10 11 10 0.971699 99/100 NonOverlappingTemplate + 12 11 14 11 8 9 14 10 5 6 0.494392 100/100 NonOverlappingTemplate + 7 12 15 4 13 10 13 6 11 9 0.275709 100/100 NonOverlappingTemplate + 11 10 8 7 8 8 13 10 9 16 0.657933 99/100 NonOverlappingTemplate + 11 7 11 4 15 8 9 10 15 10 0.334538 98/100 NonOverlappingTemplate + 11 10 10 8 10 8 8 17 9 9 0.699313 98/100 NonOverlappingTemplate + 8 3 13 12 3 9 11 16 18 7 0.007160 96/100 NonOverlappingTemplate + 19 10 10 9 10 7 8 14 8 5 0.122325 99/100 NonOverlappingTemplate + 7 12 11 14 7 9 9 14 6 11 0.595549 99/100 NonOverlappingTemplate + 7 7 7 9 6 17 15 5 10 17 0.023545 98/100 NonOverlappingTemplate + 9 15 14 7 6 10 10 6 8 15 0.262249 98/100 NonOverlappingTemplate + 14 9 8 7 17 6 9 10 7 13 0.249284 99/100 NonOverlappingTemplate + 9 9 7 16 9 12 17 7 7 7 0.171867 100/100 NonOverlappingTemplate + 10 11 5 7 9 12 13 10 12 11 0.798139 100/100 NonOverlappingTemplate + 8 14 12 13 7 9 11 7 12 7 0.678686 100/100 NonOverlappingTemplate + 13 11 8 9 11 9 11 8 10 10 0.987896 99/100 NonOverlappingTemplate + 6 7 9 8 12 14 13 12 7 12 0.574903 99/100 NonOverlappingTemplate + 8 8 11 11 11 9 13 10 11 8 0.978072 100/100 NonOverlappingTemplate + 8 13 11 14 5 9 9 13 7 11 0.574903 100/100 NonOverlappingTemplate + 7 6 10 11 12 10 8 7 16 13 0.455937 100/100 NonOverlappingTemplate + 5 9 3 9 8 10 10 10 13 23 0.002203 99/100 NonOverlappingTemplate + 6 6 10 9 9 10 15 7 13 15 0.334538 99/100 NonOverlappingTemplate + 10 9 11 7 10 6 11 8 10 18 0.383827 100/100 NonOverlappingTemplate + 9 11 5 6 12 18 11 9 6 13 0.129620 99/100 NonOverlappingTemplate + 12 9 6 12 11 14 11 10 12 3 0.383827 100/100 NonOverlappingTemplate + 10 14 11 9 8 9 7 15 9 8 0.719747 99/100 NonOverlappingTemplate + 10 6 10 10 9 7 15 8 6 19 0.085587 98/100 NonOverlappingTemplate + 13 11 9 9 10 7 14 5 9 13 0.616305 98/100 NonOverlappingTemplate + 4 8 9 10 14 14 7 13 12 9 0.383827 100/100 NonOverlappingTemplate + 16 15 6 9 10 9 13 9 7 6 0.249284 100/100 NonOverlappingTemplate + 11 5 10 4 11 13 17 9 13 7 0.122325 100/100 NonOverlappingTemplate + 6 17 12 11 9 9 13 6 13 4 0.115387 100/100 NonOverlappingTemplate + 15 5 6 19 10 10 9 10 5 11 0.042808 99/100 NonOverlappingTemplate + 14 10 7 11 7 5 12 11 14 9 0.514124 99/100 NonOverlappingTemplate + 10 7 11 9 12 5 10 7 12 17 0.334538 100/100 NonOverlappingTemplate + 9 15 5 4 7 8 10 12 16 14 0.075719 98/100 NonOverlappingTemplate + 7 13 10 14 9 8 14 11 9 5 0.514124 99/100 NonOverlappingTemplate + 9 13 10 7 4 10 18 9 8 12 0.171867 98/100 NonOverlappingTemplate + 10 7 9 9 7 13 13 9 12 11 0.883171 98/100 NonOverlappingTemplate + 7 13 12 7 13 7 10 5 14 12 0.401199 99/100 NonOverlappingTemplate + 9 10 12 16 10 6 11 5 12 9 0.455937 100/100 NonOverlappingTemplate + 9 9 12 10 13 11 6 11 10 9 0.946308 99/100 NonOverlappingTemplate + 5 16 8 9 11 5 10 15 6 15 0.071177 100/100 NonOverlappingTemplate + 12 16 11 9 7 8 10 8 11 8 0.699313 98/100 NonOverlappingTemplate + 15 12 8 13 2 9 12 12 7 10 0.191687 96/100 NonOverlappingTemplate + 9 10 10 7 9 11 11 8 6 19 0.249284 99/100 NonOverlappingTemplate + 8 10 8 11 13 9 14 9 7 11 0.867692 100/100 NonOverlappingTemplate + 7 3 7 10 13 14 14 16 6 10 0.066882 99/100 NonOverlappingTemplate + 12 9 9 10 7 12 16 6 10 9 0.616305 99/100 NonOverlappingTemplate + 10 13 11 10 8 7 12 10 6 13 0.816537 100/100 NonOverlappingTemplate + 9 12 6 11 9 5 18 11 4 15 0.042808 100/100 NonOverlappingTemplate + 20 13 7 10 8 4 11 10 9 8 0.058984 98/100 NonOverlappingTemplate + 13 12 15 12 9 5 8 9 10 7 0.514124 96/100 NonOverlappingTemplate + 8 16 10 11 11 8 7 7 7 15 0.366918 99/100 NonOverlappingTemplate + 4 9 7 7 16 13 9 6 13 16 0.062821 99/100 NonOverlappingTemplate + 11 13 8 7 4 15 9 14 10 9 0.334538 97/100 NonOverlappingTemplate + 10 13 8 11 13 7 11 9 11 7 0.883171 100/100 NonOverlappingTemplate + 8 13 13 12 9 8 10 6 14 7 0.616305 100/100 NonOverlappingTemplate + 3 12 7 9 9 14 10 9 14 13 0.304126 100/100 NonOverlappingTemplate + 9 10 9 9 10 9 17 9 9 9 0.779188 100/100 NonOverlappingTemplate + 7 12 12 7 7 10 14 10 12 9 0.779188 99/100 NonOverlappingTemplate + 4 7 15 13 10 11 8 15 12 5 0.129620 100/100 NonOverlappingTemplate + 8 6 11 9 10 16 14 9 5 12 0.319084 100/100 NonOverlappingTemplate + 11 9 9 8 12 9 12 11 13 6 0.897763 98/100 NonOverlappingTemplate + 14 12 8 7 10 11 10 11 6 11 0.816537 96/100 NonOverlappingTemplate + 13 7 13 8 9 15 9 4 8 14 0.249284 97/100 NonOverlappingTemplate + 5 6 10 12 8 9 13 9 15 13 0.401199 98/100 NonOverlappingTemplate + 13 14 13 8 10 6 12 10 9 5 0.494392 99/100 NonOverlappingTemplate + 9 11 12 14 11 4 13 6 6 14 0.236810 100/100 NonOverlappingTemplate + 7 8 8 11 13 12 10 9 14 8 0.816537 99/100 NonOverlappingTemplate + 7 9 13 5 10 18 8 11 6 13 0.129620 99/100 NonOverlappingTemplate + 9 9 7 12 11 9 13 9 15 6 0.657933 96/100 NonOverlappingTemplate + 6 14 13 8 14 8 12 7 12 6 0.366918 99/100 NonOverlappingTemplate + 6 12 8 16 9 7 11 9 11 11 0.595549 100/100 NonOverlappingTemplate + 8 6 17 12 5 10 10 8 7 17 0.066882 99/100 NonOverlappingTemplate + 15 8 12 7 8 14 12 9 6 9 0.494392 97/100 NonOverlappingTemplate + 10 12 7 14 10 11 4 10 10 12 0.637119 99/100 NonOverlappingTemplate + 13 4 7 7 11 7 11 9 15 16 0.137282 99/100 NonOverlappingTemplate + 6 7 6 11 16 12 12 6 12 12 0.275709 100/100 NonOverlappingTemplate + 6 9 10 5 9 10 14 10 12 15 0.455937 100/100 NonOverlappingTemplate + 7 7 9 13 10 14 7 12 8 13 0.637119 98/100 NonOverlappingTemplate + 8 16 11 7 12 7 7 10 9 13 0.514124 98/100 NonOverlappingTemplate + 6 9 14 6 13 10 10 11 12 9 0.699313 100/100 NonOverlappingTemplate + 7 7 7 9 6 17 15 5 10 17 0.023545 98/100 NonOverlappingTemplate + 11 11 8 8 8 14 11 6 9 14 0.699313 100/100 OverlappingTemplate + 13 22 6 15 6 3 5 11 12 7 0.000474 97/100 Universal + 11 15 6 10 11 13 13 7 9 5 0.383827 99/100 ApproximateEntropy + 6 6 6 7 8 3 4 6 8 7 0.922036 60/61 RandomExcursions + 6 5 8 6 7 7 5 3 6 8 0.941144 60/61 RandomExcursions + 5 4 12 6 5 1 10 6 8 4 0.086458 60/61 RandomExcursions + 4 8 5 10 3 9 5 8 7 2 0.287306 61/61 RandomExcursions + 5 4 9 6 8 9 4 7 6 3 0.654467 61/61 RandomExcursions + 3 4 3 14 6 6 7 4 6 8 0.070445 61/61 RandomExcursions + 3 5 7 12 7 3 3 5 9 7 0.170294 60/61 RandomExcursions + 2 4 11 4 4 7 9 7 8 5 0.242986 61/61 RandomExcursions + 10 4 6 12 4 4 7 2 4 8 0.095617 61/61 RandomExcursionsVariant + 7 7 7 11 5 4 4 7 5 4 0.619772 61/61 RandomExcursionsVariant + 7 9 7 7 6 5 7 2 2 9 0.422034 60/61 RandomExcursionsVariant + 8 6 7 10 5 6 2 4 8 5 0.551026 61/61 RandomExcursionsVariant + 8 8 7 7 7 6 3 8 3 4 0.723129 59/61 RandomExcursionsVariant + 8 12 3 7 7 5 7 3 3 6 0.222869 61/61 RandomExcursionsVariant + 7 8 8 6 5 9 2 5 6 5 0.723129 61/61 RandomExcursionsVariant + 5 7 7 8 8 4 5 5 7 5 0.957319 60/61 RandomExcursionsVariant + 6 9 8 3 5 3 8 7 5 7 0.689019 60/61 RandomExcursionsVariant + 5 13 6 9 6 3 6 3 3 7 0.105618 61/61 RandomExcursionsVariant + 7 7 7 11 6 6 4 3 6 4 0.585209 60/61 RandomExcursionsVariant + 5 5 10 5 9 6 6 6 6 3 0.723129 60/61 RandomExcursionsVariant + 5 5 9 5 6 4 2 6 10 9 0.392456 60/61 RandomExcursionsVariant + 3 9 6 6 4 9 7 5 2 10 0.287306 60/61 RandomExcursionsVariant + 4 8 5 5 16 7 2 4 3 7 0.005166 60/61 RandomExcursionsVariant + 4 3 10 10 9 4 6 7 6 2 0.186566 61/61 RandomExcursionsVariant + 3 7 7 11 9 7 3 5 4 5 0.337162 61/61 RandomExcursionsVariant + 4 7 5 11 8 8 3 5 5 5 0.484646 61/61 RandomExcursionsVariant + 7 11 11 8 16 8 12 11 7 9 0.637119 99/100 Serial + 14 10 7 6 9 14 10 11 6 13 0.494392 97/100 Serial + 8 10 9 15 12 9 11 9 7 10 0.867692 99/100 LinearComplexity + + +- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +The minimum pass rate for each statistical test with the exception of the +random excursion (variant) test is approximately = 96 for a +sample size = 100 binary sequences. + +The minimum pass rate for the random excursion (variant) test +is approximately = 58 for a sample size = 61 binary sequences. + +For further guidelines construct a probability table using the MAPLE program +provided in the addendum section of the documentation. +- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/experiments/qian/finalAnalysisReport_jf_oldci_stable_b_8bit.txt b/experiments/qian/finalAnalysisReport_jf_oldci_stable_b_8bit.txt new file mode 100644 index 0000000..8434b5b --- /dev/null +++ b/experiments/qian/finalAnalysisReport_jf_oldci_stable_b_8bit.txt @@ -0,0 +1,208 @@ +------------------------------------------------------------------------------ +RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES +------------------------------------------------------------------------------ + generator is +------------------------------------------------------------------------------ + C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 P-VALUE PROPORTION STATISTICAL TEST +------------------------------------------------------------------------------ + 16 10 10 11 11 11 6 8 9 8 0.699313 96/100 Frequency + 10 14 8 5 9 11 7 14 14 8 0.419021 99/100 BlockFrequency + 15 10 12 14 9 7 10 4 9 10 0.419021 97/100 CumulativeSums + 14 9 9 10 12 11 5 9 8 13 0.719747 97/100 CumulativeSums + 11 10 8 9 11 8 5 14 15 9 0.554420 99/100 Runs + 11 6 11 7 12 9 16 12 8 8 0.534146 98/100 LongestRun + 8 10 12 11 14 9 7 8 11 10 0.911413 99/100 Rank + 7 13 19 7 10 6 7 8 14 9 0.080519 99/100 FFT + 10 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8 7 10 0.657933 99/100 Universal + 9 13 6 10 11 11 8 12 6 14 0.657933 98/100 ApproximateEntropy + 7 9 5 4 9 4 6 8 4 4 0.671779 58/60 RandomExcursions + 6 2 2 4 6 5 10 6 14 5 0.020085 58/60 RandomExcursions + 7 8 4 5 3 9 7 5 6 6 0.834308 60/60 RandomExcursions + 6 7 6 7 6 8 3 4 7 6 0.949602 60/60 RandomExcursions + 5 4 5 4 4 7 4 10 8 9 0.534146 60/60 RandomExcursions + 5 7 5 4 8 6 6 9 7 3 0.834308 60/60 RandomExcursions + 4 5 5 3 8 6 11 6 6 6 0.602458 60/60 RandomExcursions + 4 9 8 4 4 7 6 7 4 7 0.804337 57/60 RandomExcursions + 8 8 10 6 5 3 3 4 6 7 0.534146 59/60 RandomExcursionsVariant + 9 6 9 8 2 4 6 6 4 6 0.568055 59/60 RandomExcursionsVariant + 9 6 7 4 7 5 7 3 7 5 0.862344 59/60 RandomExcursionsVariant + 8 7 7 4 6 4 6 9 3 6 0.804337 60/60 RandomExcursionsVariant + 8 6 3 11 8 3 5 6 4 6 0.407091 60/60 RandomExcursionsVariant + 4 7 5 6 12 4 2 5 11 4 0.082177 60/60 RandomExcursionsVariant + 3 6 3 5 9 2 4 12 7 9 0.074177 60/60 RandomExcursionsVariant + 4 5 5 6 4 8 5 4 10 9 0.602458 60/60 RandomExcursionsVariant + 6 7 4 5 4 7 13 7 3 4 0.195163 59/60 RandomExcursionsVariant + 4 5 6 4 5 6 11 6 7 6 0.739918 60/60 RandomExcursionsVariant + 4 5 6 4 7 6 7 6 11 4 0.671779 60/60 RandomExcursionsVariant + 5 3 6 6 6 10 4 4 7 9 0.602458 60/60 RandomExcursionsVariant + 5 5 5 7 6 7 8 7 6 4 0.985035 60/60 RandomExcursionsVariant + 5 6 5 8 8 6 4 6 1 11 0.299251 60/60 RandomExcursionsVariant + 4 6 8 5 4 9 5 4 9 6 0.739918 60/60 RandomExcursionsVariant + 2 5 6 6 9 6 2 7 7 10 0.350485 60/60 RandomExcursionsVariant + 2 6 8 6 4 6 7 7 10 4 0.568055 60/60 RandomExcursionsVariant + 2 10 5 6 3 5 7 4 9 9 0.275709 60/60 RandomExcursionsVariant + 9 11 12 7 9 15 8 10 11 8 0.834308 100/100 Serial + 7 12 6 12 12 16 11 6 11 7 0.350485 100/100 Serial + 16 9 4 6 16 11 8 6 10 14 0.062821 100/100 LinearComplexity + + +- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - +The minimum pass rate for each statistical test with the exception of the +random excursion (variant) test is approximately = 96 for a +sample size = 100 binary sequences. + +The minimum pass rate for the random excursion (variant) test +is approximately = 57 for a sample size = 60 binary sequences. + +For further guidelines construct a probability table using the MAPLE program +provided in the addendum section of the documentation. +- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - diff --git a/experiments/res2.txt b/experiments/res2.txt new file mode 100644 index 0000000..1c6a0fe --- /dev/null +++ b/experiments/res2.txt @@ -0,0 +1 @@ +[[0,1,1,0],[1,0,0,1],[1,0,0,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,1,0],[0,1,0,1]][[0,1,1,0],[1,1,0,0],[1,0,0,1],[0,0,1,1]][[1,0,1,0],[0,1,0,1],[1,0,0,1],[0,1,1,0]][[1,0,1,0],[1,1,0,0],[0,0,1,1],[0,1,0,1]][[1,1,0,0],[0,1,0,1],[1,0,1,0],[0,0,1,1]][[1,1,0,0],[1,0,0,1],[0,0,1,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,0,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,1,0],[0,1,0,1]][[0,1,1,0],[1,1,0,0],[1,0,0,1],[0,0,1,1]][[1,0,1,0],[0,1,0,1],[1,0,0,1],[0,1,1,0]][[1,0,1,0],[1,1,0,0],[0,0,1,1],[0,1,0,1]][[1,1,0,0],[0,1,0,1],[1,0,1,0],[0,0,1,1]][[1,1,0,0],[1,0,0,1],[0,0,1,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,0,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,1,0],[0,1,0,1]][[0,1,1,0],[1,1,0,0],[1,0,0,1],[0,0,1,1]][[1,0,1,0],[0,1,0,1],[1,0,0,1],[0,1,1,0]][[1,0,1,0],[1,1,0,0],[0,0,1,1],[0,1,0,1]][[1,1,0,0],[0,1,0,1],[1,0,1,0],[0,0,1,1]][[1,1,0,0],[1,0,0,1],[0,0,1,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,0,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,1,0],[0,1,0,1]][[0,1,1,0],[1,1,0,0],[1,0,0,1],[0,0,1,1]][[1,0,1,0],[0,1,0,1],[1,0,0,1],[0,1,1,0]][[1,0,1,0],[1,1,0,0],[0,0,1,1],[0,1,0,1]][[1,1,0,0],[0,1,0,1],[1,0,1,0],[0,0,1,1]][[1,1,0,0],[1,0,0,1],[0,0,1,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,0,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,1,0],[0,1,0,1]][[0,1,1,0],[1,1,0,0],[1,0,0,1],[0,0,1,1]][[1,0,1,0],[0,1,0,1],[1,0,0,1],[0,1,1,0]][[1,0,1,0],[1,1,0,0],[0,0,1,1],[0,1,0,1]][[1,1,0,0],[0,1,0,1],[1,0,1,0],[0,0,1,1]][[1,1,0,0],[1,0,0,1],[0,0,1,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,0,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,1,0],[0,1,0,1]][[0,1,1,0],[1,1,0,0],[1,0,0,1],[0,0,1,1]][[1,0,1,0],[0,1,0,1],[1,0,0,1],[0,1,1,0]][[1,0,1,0],[1,1,0,0],[0,0,1,1],[0,1,0,1]][[1,1,0,0],[0,1,0,1],[1,0,1,0],[0,0,1,1]][[1,1,0,0],[1,0,0,1],[0,0,1,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,0,1],[0,1,1,0]][[0,1,1,0],[1,0,0,1],[1,0,1,0],[0,1,0,1]][[0,1,1,0],[1,1,0,0],[1,0,0,1],[0,0,1,1]][[1,0,1,0],[0,1,0,1],[1,0,0,1],[0,1,1,0]][[1,0,1,0],[1,1,0,0],[0,0,1,1],[0,1,0,1]][[1,1,0,0],[0,1,0,1],[1,0,1,0],[0,0,1,1]][[1,1,0,0],[1,0,0,1],[0,0,1,1],[0,1,1,0]] \ No newline at end of file diff --git a/experiments/res8.txt b/experiments/res8.txt new file mode 100644 index 0000000..30f6e7b --- /dev/null +++ b/experiments/res8.txt @@ -0,0 +1,3050 @@ +------ + + en entrant 24 a vistier 1 +ds calcul 0 0 + + en entrant 23 a vistier 1 +ds calcul 0 0 + +[6, 7, 5, 4, 3, 2, 1, 0] + + en entrant 22 a vistier 11 +ds calcul 0 0 +ds calcul 1 12 +ds calcul 2 17 +ds calcul 3 32 +ds calcul 4 37 +ds calcul 5 41 +ds calcul 6 44 +ds calcul 7 46 +ds calcul 8 47 +ds calcul 9 47 +ds calcul 10 47 + + en entrant 21 a vistier 47 +ds calcul 0 0 + +[4, 7, 7, 4, 3, 2, 1, 0] +ds calcul 1 20 +ds calcul 2 38 +ds calcul 3 54 +ds calcul 4 67 +ds calcul 5 74 +ds calcul 6 79 +ds calcul 7 88 +ds calcul 8 95 +ds calcul 9 101 +ds calcul 10 105 +ds calcul 11 106 +ds calcul 12 107 +ds calcul 13 121 + +[6, 7, 4, 5, 3, 2, 1, 0] +ds calcul 14 133 + +[6, 7, 1, 4, 3, 2, 5, 0] +ds calcul 15 142 +ds calcul 16 145 + +[6, 7, 5, 4, 3, 2, 0, 1] +ds calcul 17 146 + +[6, 4, 7, 5, 3, 2, 1, 0] +ds 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516 +ds calcul 82 522 +ds calcul 83 525 +ds calcul 84 528 +ds calcul 85 531 +ds calcul 86 533 +ds calcul 87 533 +ds calcul 88 533 +ds calcul 89 535 +ds calcul 90 536 +ds calcul 91 539 +ds calcul 92 542 +ds calcul 93 542 +ds calcul 94 542 +ds calcul 95 542 +ds calcul 96 542 +ds calcul 97 544 +ds calcul 98 547 +ds calcul 99 547 +ds calcul 100 547 +ds calcul 101 547 +ds calcul 102 549 +ds calcul 103 549 +ds calcul 104 549 +ds calcul 105 549 +ds calcul 106 549 +ds calcul 107 549 +ds calcul 108 554 +ds calcul 109 565 +ds calcul 110 576 +ds calcul 111 584 +ds calcul 112 592 +ds calcul 113 595 +ds calcul 114 600 +ds calcul 115 606 +ds calcul 116 609 +ds calcul 117 612 +ds calcul 118 615 +ds calcul 119 615 +ds calcul 120 615 +ds calcul 121 615 +ds calcul 122 617 +ds calcul 123 626 +ds calcul 124 629 +ds calcul 125 636 +ds calcul 126 639 +ds calcul 127 645 +ds calcul 128 648 +ds calcul 129 651 +ds calcul 130 654 +ds calcul 131 654 +ds calcul 132 654 +ds calcul 133 654 +ds calcul 134 657 +ds calcul 135 659 +ds calcul 136 662 +ds calcul 137 662 +ds calcul 138 665 +ds calcul 139 667 +ds calcul 140 667 +ds calcul 141 667 +ds calcul 142 667 +ds calcul 143 667 +ds calcul 144 667 +ds calcul 145 667 +ds calcul 146 667 +ds calcul 147 670 +ds calcul 148 681 +ds calcul 149 689 +ds calcul 150 697 +ds calcul 151 704 +ds calcul 152 710 +ds calcul 153 716 +ds calcul 154 721 +ds calcul 155 724 +ds calcul 156 727 +ds calcul 157 729 +ds calcul 158 729 +ds calcul 159 729 +ds calcul 160 729 +ds calcul 161 736 +ds calcul 162 742 +ds calcul 163 747 +ds calcul 164 754 +ds calcul 165 758 +ds calcul 166 763 +ds calcul 167 766 +ds calcul 168 767 +ds calcul 169 769 +ds calcul 170 770 +ds calcul 171 770 +ds calcul 172 770 +ds calcul 173 775 +ds calcul 174 779 +ds calcul 175 784 +ds calcul 176 790 +ds calcul 177 793 +ds calcul 178 798 +ds calcul 179 801 +ds calcul 180 801 +ds calcul 181 802 +ds calcul 182 802 +ds calcul 183 802 +ds calcul 184 802 +ds calcul 185 805 +ds calcul 186 808 +ds calcul 187 809 +ds calcul 188 809 +ds calcul 189 809 +ds calcul 190 809 +ds calcul 191 809 +ds calcul 192 812 +ds calcul 193 812 +ds calcul 194 813 +ds calcul 195 813 +ds calcul 196 813 +ds calcul 197 813 +ds calcul 198 813 +ds calcul 199 813 +ds calcul 200 813 +ds calcul 201 813 +ds calcul 202 813 +ds calcul 203 813 +ds calcul 204 813 +ds calcul 205 813 +ds calcul 206 813 +ds calcul 207 814 +ds calcul 208 815 +ds calcul 209 816 +ds calcul 210 816 +ds calcul 211 816 +ds calcul 212 816 +ds calcul 213 816 +ds calcul 214 816 +ds calcul 215 816 +ds calcul 216 816 +ds calcul 217 816 +ds calcul 218 816 +ds calcul 219 816 +ds calcul 220 816 +ds calcul 221 816 +ds calcul 222 816 +ds calcul 223 816 +ds calcul 224 816 +ds calcul 225 816 +ds calcul 226 817 +ds calcul 227 817 +ds calcul 228 817 +ds calcul 229 817 +ds calcul 230 817 +ds calcul 231 817 +ds calcul 232 817 +ds calcul 233 817 +ds calcul 234 817 +ds calcul 235 817 +ds calcul 236 817 +ds calcul 237 817 +ds calcul 238 817 +ds calcul 239 817 +ds calcul 240 817 + + en entrant 19 a vistier 817 +ds calcul 0 0 + +[4, 5, 7, 6, 3, 2, 1, 0] +ds calcul 1 16 +ds calcul 2 30 +ds calcul 3 43 +ds calcul 4 54 +ds calcul 5 62 +ds calcul 6 68 +ds calcul 7 72 +ds calcul 8 75 +ds calcul 9 76 + +[4, 3, 7, 4, 3, 6, 1, 0] +ds calcul 10 91 +ds calcul 11 106 +ds calcul 12 119 +ds calcul 13 130 +ds calcul 14 137 +ds calcul 15 144 +ds calcul 16 149 +ds calcul 17 152 +ds calcul 18 153 +ds calcul 19 165 + +[4, 7, 7, 0, 3, 2, 1, 4] +ds calcul 20 171 + +[4, 7, 7, 4, 2, 3, 1, 0] +ds calcul 21 180 +ds calcul 22 188 +ds calcul 23 193 + +[4, 7, 7, 4, 3, 0, 1, 2] +ds calcul 24 197 +ds calcul 25 198 +ds calcul 26 199 +ds calcul 27 214 +ds calcul 28 227 +ds calcul 29 239 +ds calcul 30 251 +ds calcul 31 262 +ds calcul 32 270 +ds calcul 33 279 +ds calcul 34 286 +ds calcul 35 293 +ds calcul 36 299 +ds calcul 37 304 +ds calcul 38 308 +ds calcul 39 311 +ds calcul 40 313 +ds calcul 41 314 +ds calcul 42 314 +ds calcul 43 327 +ds calcul 44 339 +ds calcul 45 351 + +[4, 7, 1, 4, 7, 2, 3, 0] +ds calcul 46 362 +ds calcul 47 371 +ds calcul 48 379 +ds calcul 49 387 +ds calcul 50 394 +ds calcul 51 400 +ds calcul 52 405 +ds calcul 53 409 +ds calcul 54 412 +ds calcul 55 414 +ds calcul 56 415 +ds calcul 57 415 +ds calcul 58 425 +ds calcul 59 435 +ds calcul 60 445 +ds calcul 61 452 +ds calcul 62 460 +ds calcul 63 467 +ds calcul 64 473 +ds calcul 65 478 +ds calcul 66 482 +ds calcul 67 485 +ds calcul 68 487 +ds calcul 69 488 +ds calcul 70 488 +ds calcul 71 499 +ds calcul 72 509 +ds calcul 73 517 +ds calcul 74 524 +ds calcul 75 531 +ds calcul 76 536 +ds calcul 77 541 +ds calcul 78 545 +ds calcul 79 548 +ds calcul 80 550 +ds calcul 81 551 +ds calcul 82 551 +ds calcul 83 562 +ds calcul 84 571 +ds calcul 85 580 +ds calcul 86 588 +ds calcul 87 595 +ds calcul 88 600 +ds calcul 89 605 +ds calcul 90 609 +ds calcul 91 611 +ds calcul 92 613 +ds calcul 93 614 +ds calcul 94 614 +ds calcul 95 622 +ds calcul 96 630 +ds calcul 97 638 +ds calcul 98 645 +ds calcul 99 651 +ds calcul 100 656 +ds calcul 101 660 +ds calcul 102 663 +ds calcul 103 665 +ds calcul 104 666 +ds calcul 105 666 +ds calcul 106 673 +ds calcul 107 680 +ds calcul 108 686 +ds calcul 109 690 +ds calcul 110 694 +ds calcul 111 697 +ds calcul 112 699 +ds calcul 113 700 +ds calcul 114 700 +ds calcul 115 707 +ds calcul 116 714 +ds calcul 117 720 +ds calcul 118 724 +ds calcul 119 728 +ds calcul 120 731 +ds calcul 121 733 +ds calcul 122 734 +ds calcul 123 734 +ds calcul 124 740 +ds calcul 125 745 +ds calcul 126 749 +ds calcul 127 753 +ds calcul 128 756 +ds calcul 129 758 +ds calcul 130 759 +ds calcul 131 759 +ds calcul 132 764 +ds calcul 133 769 +ds calcul 134 773 +ds calcul 135 776 +ds calcul 136 778 +ds calcul 137 779 +ds calcul 138 779 +ds calcul 139 784 +ds calcul 140 788 +ds calcul 141 790 +ds calcul 142 791 +ds calcul 143 792 +ds calcul 144 792 +ds calcul 145 795 +ds calcul 146 798 +ds calcul 147 800 +ds calcul 148 801 +ds calcul 149 801 +ds calcul 150 804 +ds calcul 151 806 +ds calcul 152 807 +ds calcul 153 807 +ds calcul 154 808 +ds calcul 155 808 +ds calcul 156 808 +ds calcul 157 808 +ds calcul 158 808 +ds calcul 159 808 +ds calcul 160 821 +ds calcul 161 834 +ds calcul 162 845 +ds calcul 163 856 +ds calcul 164 865 +ds calcul 165 872 +ds calcul 166 879 +ds calcul 167 885 +ds calcul 168 891 +ds calcul 169 895 +ds calcul 170 899 +ds calcul 171 902 +ds calcul 172 904 +ds calcul 173 905 +ds calcul 174 905 +ds calcul 175 915 +ds calcul 176 921 +ds calcul 177 925 +ds calcul 178 932 +ds calcul 179 939 +ds calcul 180 944 +ds calcul 181 946 +ds calcul 182 947 +ds calcul 183 958 +ds calcul 184 970 +ds calcul 185 982 +ds calcul 186 991 +ds calcul 187 1000 +ds calcul 188 1007 +ds calcul 189 1015 +ds calcul 190 1022 +ds calcul 191 1028 +ds calcul 192 1030 +ds calcul 193 1034 +ds calcul 194 1037 +ds calcul 195 1039 +ds calcul 196 1040 +ds calcul 197 1040 +ds calcul 198 1048 +ds calcul 199 1055 +ds calcul 200 1062 +ds calcul 201 1069 +ds calcul 202 1075 +ds calcul 203 1079 +ds calcul 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454 1829 +ds calcul 455 1829 +ds calcul 456 1829 +ds calcul 457 1829 +ds calcul 458 1835 +ds calcul 459 1840 +ds calcul 460 1843 +ds calcul 461 1843 +ds calcul 462 1844 +ds calcul 463 1850 +ds calcul 464 1856 +ds calcul 465 1861 +ds calcul 466 1864 +ds calcul 467 1867 +ds calcul 468 1870 +ds calcul 469 1870 +ds calcul 470 1870 +ds calcul 471 1870 +ds calcul 472 1871 +ds calcul 473 1875 +ds calcul 474 1878 +ds calcul 475 1878 +ds calcul 476 1878 +ds calcul 477 1878 +ds calcul 478 1878 +ds calcul 479 1880 +ds calcul 480 1883 +ds calcul 481 1883 +ds calcul 482 1883 +ds calcul 483 1883 +ds calcul 484 1883 +ds calcul 485 1883 +ds calcul 486 1883 +ds calcul 487 1883 +ds calcul 488 1886 +ds calcul 489 1887 +ds calcul 490 1890 +ds calcul 491 1893 +ds calcul 492 1894 +ds calcul 493 1894 +ds calcul 494 1894 +ds calcul 495 1896 +ds calcul 496 1899 +ds calcul 497 1900 +ds calcul 498 1900 +ds calcul 499 1900 +ds calcul 500 1902 +ds calcul 501 1903 +ds calcul 502 1903 +ds calcul 503 1903 +ds calcul 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554 1950 +ds calcul 555 1959 +ds calcul 556 1968 +ds calcul 557 1974 +ds calcul 558 1978 +ds calcul 559 1984 +ds calcul 560 1987 +ds calcul 561 1990 +ds calcul 562 1993 +ds calcul 563 1993 +ds calcul 564 1993 +ds calcul 565 1993 +ds calcul 566 2001 +ds calcul 567 2010 +ds calcul 568 2016 +ds calcul 569 2021 +ds calcul 570 2026 +ds calcul 571 2029 +ds calcul 572 2032 +ds calcul 573 2033 +ds calcul 574 2033 +ds calcul 575 2033 +ds calcul 576 2033 +ds calcul 577 2038 +ds calcul 578 2044 +ds calcul 579 2047 +ds calcul 580 2050 +ds calcul 581 2053 +ds calcul 582 2053 +ds calcul 583 2053 +ds calcul 584 2053 +ds calcul 585 2058 +ds calcul 586 2064 +ds calcul 587 2067 +ds calcul 588 2069 +ds calcul 589 2072 +ds calcul 590 2072 +ds calcul 591 2072 +ds calcul 592 2072 +ds calcul 593 2075 +ds calcul 594 2077 +ds calcul 595 2078 +ds calcul 596 2081 +ds calcul 597 2084 +ds calcul 598 2084 +ds calcul 599 2084 +ds calcul 600 2084 +ds calcul 601 2087 +ds calcul 602 2090 +ds calcul 603 2092 +ds calcul 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calcul 650 2153 +ds calcul 651 2153 +ds calcul 652 2153 +ds calcul 653 2153 +ds calcul 654 2153 +ds calcul 655 2155 +ds calcul 656 2157 +ds calcul 657 2157 +ds calcul 658 2158 +ds calcul 659 2158 + +[6, 7, 1, 4, 3, 0, 5, 2] +ds calcul 660 2159 +ds calcul 661 2161 +ds calcul 662 2161 +ds calcul 663 2161 +ds calcul 664 2161 +ds calcul 665 2161 +ds calcul 666 2161 +ds calcul 667 2161 +ds calcul 668 2169 +ds calcul 669 2173 +ds calcul 670 2175 +ds calcul 671 2183 +ds calcul 672 2190 +ds calcul 673 2197 +ds calcul 674 2200 +ds calcul 675 2204 +ds calcul 676 2207 + +[6, 4, 7, 0, 3, 2, 5, 1] +ds calcul 677 2209 +ds calcul 678 2211 +ds calcul 679 2212 +ds calcul 680 2212 +ds calcul 681 2212 +ds calcul 682 2218 +ds calcul 683 2223 +ds calcul 684 2226 +ds calcul 685 2229 +ds calcul 686 2231 +ds calcul 687 2231 +ds calcul 688 2231 +ds calcul 689 2231 +ds calcul 690 2236 +ds calcul 691 2241 +ds calcul 692 2244 +ds calcul 693 2246 +ds calcul 694 2248 +ds calcul 695 2248 +ds calcul 696 2248 +ds calcul 697 2248 +ds calcul 698 2252 +ds calcul 699 2256 +ds calcul 700 2259 +ds calcul 701 2261 +ds calcul 702 2261 +ds calcul 703 2261 +ds calcul 704 2261 +ds calcul 705 2264 +ds calcul 706 2267 +ds calcul 707 2268 +ds calcul 708 2268 +ds calcul 709 2268 +ds calcul 710 2268 +ds calcul 711 2271 +ds calcul 712 2274 +ds calcul 713 2276 +ds calcul 714 2276 +ds calcul 715 2276 +ds calcul 716 2276 +ds calcul 717 2278 +ds calcul 718 2280 +ds calcul 719 2281 +ds calcul 720 2281 +ds calcul 721 2281 +ds calcul 722 2281 +ds calcul 723 2281 +ds calcul 724 2281 +ds calcul 725 2281 +ds calcul 726 2281 +ds calcul 727 2281 +ds calcul 728 2281 +ds calcul 729 2281 +ds calcul 730 2284 +ds calcul 731 2286 +ds calcul 732 2289 +ds calcul 733 2291 +ds calcul 734 2292 +ds calcul 735 2292 +ds calcul 736 2292 +ds calcul 737 2295 +ds calcul 738 2296 +ds calcul 739 2298 +ds calcul 740 2299 +ds calcul 741 2299 +ds calcul 742 2299 +ds calcul 743 2300 +ds calcul 744 2301 +ds calcul 745 2302 +ds calcul 746 2302 +ds calcul 747 2302 +ds calcul 748 2305 +ds calcul 749 2307 +ds calcul 750 2308 +ds calcul 751 2309 +ds calcul 752 2309 +ds calcul 753 2309 +ds calcul 754 2309 +ds calcul 755 2309 +ds calcul 756 2310 +ds calcul 757 2310 +ds calcul 758 2310 +ds calcul 759 2311 +ds calcul 760 2313 +ds calcul 761 2313 +ds calcul 762 2313 +ds calcul 763 2313 +ds calcul 764 2313 +ds calcul 765 2313 +ds calcul 766 2313 +ds calcul 767 2313 +ds calcul 768 2313 +ds calcul 769 2313 +ds calcul 770 2313 +ds calcul 771 2313 +ds calcul 772 2314 +ds calcul 773 2315 +ds calcul 774 2316 +ds calcul 775 2316 +ds calcul 776 2317 +ds calcul 777 2317 +ds calcul 778 2317 +ds calcul 779 2317 +ds calcul 780 2317 +ds calcul 781 2317 +ds calcul 782 2317 +ds calcul 783 2317 +ds calcul 784 2317 +ds calcul 785 2318 +ds calcul 786 2319 +ds calcul 787 2319 +ds calcul 788 2319 +ds calcul 789 2319 +ds calcul 790 2319 +ds calcul 791 2320 +ds calcul 792 2320 +ds calcul 793 2320 +ds calcul 794 2321 +ds calcul 795 2321 +ds calcul 796 2321 +ds calcul 797 2321 +ds calcul 798 2321 +ds calcul 799 2321 +ds calcul 800 2321 +ds calcul 801 2321 +ds calcul 802 2321 +ds calcul 803 2321 + +[6, 4, 5, 0, 7, 2, 3, 1] +ds calcul 804 2322 +ds calcul 805 2322 +ds calcul 806 2322 +ds calcul 807 2322 +ds calcul 808 2322 +ds calcul 809 2322 +ds calcul 810 2322 +ds calcul 811 2322 +ds calcul 812 2322 +ds calcul 813 2322 +ds calcul 814 2322 +ds calcul 815 2322 +ds calcul 816 2322 + + en entrant 18 a vistier 2322 +ds calcul 0 0 +ds calcul 1 7 +ds calcul 2 21 +ds calcul 3 26 +ds calcul 4 37 +ds calcul 5 48 +ds calcul 6 57 +ds calcul 7 65 +ds calcul 8 73 +ds calcul 9 78 +ds calcul 10 84 +ds calcul 11 88 +ds calcul 12 92 +ds calcul 13 95 +ds calcul 14 97 +ds calcul 15 98 +ds calcul 16 98 +ds calcul 17 111 +ds calcul 18 116 +ds calcul 19 127 +ds calcul 20 137 +ds calcul 21 144 +ds calcul 22 151 +ds calcul 23 158 +ds calcul 24 163 +ds calcul 25 167 +ds calcul 26 171 +ds calcul 27 174 +ds calcul 28 176 +ds calcul 29 177 +ds calcul 30 177 +ds calcul 31 183 +ds calcul 32 194 +ds calcul 33 203 +ds calcul 34 210 +ds calcul 35 218 +ds calcul 36 224 +ds calcul 37 230 +ds calcul 38 234 +ds calcul 39 238 +ds calcul 40 241 +ds calcul 41 243 +ds calcul 42 244 +ds calcul 43 244 +ds calcul 44 253 +ds calcul 45 261 +ds calcul 46 264 +ds calcul 47 270 +ds calcul 48 276 +ds calcul 49 280 +ds calcul 50 284 +ds calcul 51 287 +ds calcul 52 289 +ds calcul 53 290 +ds calcul 54 290 +ds calcul 55 293 +ds calcul 56 299 +ds calcul 57 302 +ds calcul 58 306 +ds calcul 59 309 +ds calcul 60 311 +ds calcul 61 312 +ds calcul 62 312 +ds calcul 63 316 +ds calcul 64 320 +ds calcul 65 323 +ds calcul 66 324 +ds calcul 67 325 +ds calcul 68 325 +ds calcul 69 327 +ds calcul 70 329 +ds calcul 71 330 +ds calcul 72 330 +ds calcul 73 332 +ds calcul 74 332 +ds calcul 75 332 +ds calcul 76 332 +ds calcul 77 339 +ds calcul 78 351 +ds calcul 79 361 +ds calcul 80 372 +ds calcul 81 379 +ds calcul 82 387 +ds calcul 83 390 +ds calcul 84 396 +ds calcul 85 402 +ds calcul 86 407 +ds calcul 87 410 +ds calcul 88 413 +ds calcul 89 415 +ds calcul 90 416 +ds calcul 91 416 +ds calcul 92 430 +ds calcul 93 443 +ds calcul 94 453 +ds calcul 95 464 +ds calcul 96 473 +ds calcul 97 478 +ds calcul 98 485 +ds calcul 99 488 +ds calcul 100 494 +ds calcul 101 499 +ds calcul 102 503 +ds calcul 103 506 +ds calcul 104 508 +ds calcul 105 509 +ds calcul 106 509 +ds calcul 107 521 +ds calcul 108 530 +ds calcul 109 540 +ds calcul 110 548 +ds calcul 111 553 +ds calcul 112 558 +ds calcul 113 561 +ds calcul 114 566 +ds calcul 115 570 +ds calcul 116 573 +ds calcul 117 575 +ds calcul 118 576 +ds calcul 119 576 +ds calcul 120 584 +ds calcul 121 593 +ds calcul 122 596 +ds calcul 123 601 +ds calcul 124 607 +ds calcul 125 612 +ds calcul 126 616 +ds calcul 127 619 +ds calcul 128 621 +ds calcul 129 622 +ds calcul 130 622 +ds calcul 131 624 +ds calcul 132 628 +ds calcul 133 632 +ds calcul 134 635 +ds calcul 135 637 +ds calcul 136 637 +ds calcul 137 637 +ds calcul 138 640 +ds calcul 139 645 +ds calcul 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4465 +ds calcul 1803 4465 +ds calcul 1804 4465 +ds calcul 1805 4465 +ds calcul 1806 4465 +ds calcul 1807 4465 +ds calcul 1808 4465 +ds calcul 1809 4465 +ds calcul 1810 4465 +ds calcul 1811 4465 +ds calcul 1812 4465 +ds calcul 1813 4465 +ds calcul 1814 4465 +ds calcul 1815 4465 +ds calcul 1816 4465 +ds calcul 1817 4465 +ds calcul 1818 4465 +ds calcul 1819 4465 +ds calcul 1820 4465 +ds calcul 1821 4465 +ds calcul 1822 4465 +ds calcul 1823 4465 +ds calcul 1824 4465 +ds calcul 1825 4465 +ds calcul 1826 4465 +ds calcul 1827 4465 +ds calcul 1828 4465 +ds calcul 1829 4465 +ds calcul 1830 4466 +ds calcul 1831 4469 +ds calcul 1832 4472 +ds calcul 1833 4472 +ds calcul 1834 4472 +ds calcul 1835 4472 +ds calcul 1836 4474 +ds calcul 1837 4477 +ds calcul 1838 4477 +ds calcul 1839 4477 +ds calcul 1840 4477 +ds calcul 1841 4477 +ds calcul 1842 4477 +ds calcul 1843 4477 +ds calcul 1844 4477 +ds calcul 1845 4479 +ds calcul 1846 4482 +ds calcul 1847 4485 +ds calcul 1848 4485 +ds calcul 1849 4485 +ds calcul 1850 4485 +ds calcul 1851 4488 +ds calcul 1852 4491 +ds calcul 1853 4494 +ds calcul 1854 4494 +ds calcul 1855 4494 +ds calcul 1856 4494 +ds calcul 1857 4497 +ds calcul 1858 4500 +ds calcul 1859 4500 +ds calcul 1860 4500 +ds calcul 1861 4500 +ds calcul 1862 4500 +ds calcul 1863 4500 +ds calcul 1864 4500 +ds calcul 1865 4500 +ds calcul 1866 4500 +ds calcul 1867 4500 +ds calcul 1868 4500 +ds calcul 1869 4500 +ds calcul 1870 4500 +ds calcul 1871 4500 +ds calcul 1872 4500 +ds calcul 1873 4500 +ds calcul 1874 4500 +ds calcul 1875 4500 +ds calcul 1876 4500 +ds calcul 1877 4500 +ds calcul 1878 4500 +ds calcul 1879 4500 +ds calcul 1880 4500 diff --git a/experiments/resultat16.txt b/experiments/resultat16.txt new file mode 100644 index 0000000..4756d1d --- /dev/null +++ b/experiments/resultat16.txt @@ -0,0 +1,27 @@ +[13, 14, 15, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0] +[13, 14, 15, 8, 11, 10, 9, 12, 7, 6, 5, 4, 3, 2, 1, 0] +[5, 14, 15, 12, 11, 10, 9, 8, 15, 6, 5, 4, 3, 2, 1, 0] +[13, 12, 15, 10, 11, 10, 9, 12, 7, 6, 5, 4, 3, 2, 1, 0] +[13, 14, 15, 8, 11, 10, 9, 12, 7, 6, 4, 5, 3, 2, 1, 0] +[13, 14, 14, 9, 11, 10, 9, 12, 7, 6, 5, 4, 3, 2, 1, 0] +[13, 14, 5, 12, 11, 10, 9, 8, 14, 7, 7, 4, 3, 2, 1, 0] +[13, 14, 5, 12, 11, 10, 9, 8, 15, 7, 4, 6, 3, 2, 1, 0] +[4, 15, 15, 12, 11, 10, 9, 8, 15, 6, 5, 4, 3, 2, 1, 0] +[13, 12, 15, 10, 11, 10, 9, 12, 7, 6, 5, 4, 3, 0, 1, 2] +[13, 4, 15, 10, 11, 10, 9, 12, 7, 14, 5, 4, 3, 2, 1, 0] +[13, 12, 15, 0, 11, 10, 9, 12, 7, 14, 5, 6, 3, 2, 1, 0] +[5, 12, 15, 10, 11, 10, 9, 12, 15, 6, 5, 4, 3, 2, 1, 0] +[13, 12, 15, 2, 11, 10, 9, 12, 7, 6, 5, 12, 3, 2, 1, 0] + + + +[7, 14, 13, 12, 11, 10, 9, 8, 15, 6, 5, 4, 3, 2, 1, 0] +[6, 15, 13, 12, 11, 10, 9, 8, 15, 6, 5, 4, 3, 2, 1, 0] +[7, 15, 13, 12, 11, 10, 9, 8, 6, 14, 5, 4, 3, 2, 1, 0] +[7, 6, 13, 12, 11, 10, 9, 8, 15, 14, 5, 4, 3, 2, 1, 0] +[7, 12, 13, 14, 11, 10, 9, 8, 15, 6, 5, 4, 3, 2, 1, 0] +[7, 14, 13, 4, 11, 10, 9, 8, 15, 6, 5, 12, 3, 2, 1, 0] +[7, 14, 13, 8, 11, 10, 9, 12, 15, 6, 5, 4, 3, 2, 1, 0] +[7, 14, 13, 12, 11, 10, 9, 0, 15, 6, 5, 4, 3, 2, 1, 8] + + diff --git a/experiments/resultat8 b/experiments/resultat8 new file mode 100644 index 0000000..3124dd6 --- /dev/null +++ b/experiments/resultat8 @@ -0,0 +1,4 @@ +------ +[4, 5, 6, 7, 3, 2, 1, 0] +[4, 5, 6, 7, 2, 3, 1, 0] +[4, 5, 6, 7, 2, 0, 3, 1] diff --git a/experiments/resultat8.txt b/experiments/resultat8.txt new file mode 100644 index 0000000..e69de29 diff --git a/experiments/smm.pl b/experiments/smm.pl new file mode 100644 index 0000000..e250541 --- /dev/null +++ b/experiments/smm.pl @@ -0,0 +1,128 @@ +:-use_module(library(clpfd)). + + +% N is the dot product of lists V1 and V2. +dot(V1, V2, N) :- maplist(product,V1,V2,P), sumlist(P,N). +product(N1,N2,N3) :- N3 is N1*N2. + +% Matrix multiplication with matrices represented +% as lists of lists. M3 is the product of M1 and M2 +mmult(M1, M2, M3) :- transpose(M2,MT), maplist(mm_helper(MT), M1, M3). +mm_helper(M2, I1, M3) :- maplist(dot(I1), M2, M3). + + +suml([],[],[]). + +suml(L1,L2,[E1 + E2|R2]):- + L1 = [E1|T1], + L2 = [E2|T2], + suml(T1,T2,R2). + + + +summ([],[],[]). +summ(M1,M2,[Lr|R2]):- + M1 = [E1|T1], + M2 = [E2|T2], + suml(E1,E2,Lr), + summ(T1,T2,R2). + + +flatten(List, Flattened):- + flatten(List, [], Flattened). + +flatten([], Flattened, Flattened). +flatten([Item|Tail], L, Flattened):- + flatten(Item, L1, Flattened), + flatten(Tail, L, L1). +flatten(Item, Flattened, [Item|Flattened]):- + \+ is_list(Item). + +touspositifs(X):- + flatten(X,XF), + tp(XF). + +tp([]). +tp(X):- + X = [E|L], + E #> 0, + tp(L). + + + + + + +sc3(X):- + mmult(X,X,X2), + mmult(X,X2,X3), + mmult(X,X3,X4), + mmult(X,X4,X6), + mmult(X,X4,X6), + mmult(X,X6,X7), + mmult(X,X7,X8), + summ(X,X2,S1), + summ(S1,X3,S2), + summ(S2,X4,S3), + summ(S3,X5,S4), + summ(S4,X6,S5), + summ(S5,X7,S6), + summ(S6,X8,S7), + touspositifs(S7). + +sc2(X):- + mmult(X,X,X2), + mmult(X,X2,X3), + mmult(X,X3,X4), + summ(X,X2,S1), + summ(S1,X3,S2), + summ(S2,X4,S3), + touspositifs(S3). + + + + + +bistoc(X):- + X=[[A,B,C,0],[F,E,0,G],[H,0,I,J],[0,K,L,M]], + A in 0..2, + E in 0..2, + I in 0..2, + M in 0..2, + B in 0..1, + C in 0..1, + F in 0..1, + G in 0..1, + H in 0..1, + J in 0..1, + K in 0..1, + L in 0..1, + A + B + C #= 2, + E + F+ G #= 2, + H+ I+ J#= 2, + K+L +M #= 2, + A+F + H#= 2, + B+E +K #= 2, + C+I + L#= 2, + G+ J+M #= 2, + label([A,B,C,F,E,G,H,I,J,K,L,M]), + sc2(X). + + +display_m([]). +display_m([El|R]):- + write(El), + display_m(R). + + +solution(L):- + get_time(T0), + findall(X,bistoc(X),L), + get_time(T1), + DT is T1 - T0, + write('but : '),writeln(DT), + display_m(L). + + + + diff --git a/experiments/smm2.pl b/experiments/smm2.pl new file mode 100644 index 0000000..ea6a95e --- /dev/null +++ b/experiments/smm2.pl @@ -0,0 +1,116 @@ +:-use_module(library(clpfd)). + + +% N is the dot product of lists V1 and V2. +dot(V1, V2, N) :- maplist(product,V1,V2,P), sumlist(P,N). +product(N1,N2,N3) :- N3 is N1*N2. + +% Matrix multiplication with matrices represented +% as lists of lists. M3 is the product of M1 and M2 +mmult(M1, M2, M3) :- transpose(M2,MT), maplist(mm_helper(MT), M1, M3). +mm_helper(M2, I1, M3) :- maplist(dot(I1), M2, M3). + + +suml([],[],[]). + +suml(L1,L2,[E1 + E2|R2]):- + L1 = [E1|T1], + L2 = [E2|T2], + suml(T1,T2,R2). + + + +summ([],[],[]). +summ(M1,M2,[Lr|R2]):- + M1 = [E1|T1], + M2 = [E2|T2], + suml(E1,E2,Lr), + summ(T1,T2,R2). + + +flatten(List, Flattened):- + flatten(List, [], Flattened). + +flatten([], Flattened, Flattened). +flatten([Item|Tail], L, Flattened):- + flatten(Item, L1, Flattened), + flatten(Tail, L, L1). +flatten(Item, Flattened, [Item|Flattened]):- + \+ is_list(Item). + +touspositifs(X):- + flatten(X,XF), + tp(XF). + +tp([]). +tp(X):- + X = [E|L], + E #> 0, + tp(L). + + + + +sc2(X):- + mmult(X,X,X2), + mmult(X,X2,X3), + mmult(X,X3,X4), + summ(X,X2,S1), + summ(S1,X3,S2), + summ(S2,X4,S3), + touspositifs(S3). + + + + + +bistoc(X):- + X=[[A,B,C,0],[F,E,0,G],[H,0,I,J],[0,K,L,M]], + A in 0..2, + E in 0..2, + I in 0..2, + M in 0..2, + B in 0..1, + C in 0..1, + F in 0..1, + G in 0..1, + H in 0..1, + J in 0..1, + K in 0..1, + L in 0..1, + A + B + C #= 2, + E + F+ G #= 2, + H+ I+ J#= 2, + K+L +M #= 2, + A+F + H#= 2, + B+E +K #= 2, + C+I + L#= 2, + G+ J+M #= 2, + label([A,B,C,F,E,G,H,I,J,K,L,M]), + sc2(X), + open('res2.txt',append,Stream), + write(Stream,X), + close(Stream). + + +display_m([]). +display_m([El|R]):- + write(El), + display_m(R). + + +solution(L):- + get_time(T0), + findall(X,bistoc(X),L), + get_time(T1), + DT is T1 - T0, + write('but : '),writeln(DT). + + + + + + + + + diff --git a/experiments/smm2bis.pl b/experiments/smm2bis.pl new file mode 100644 index 0000000..554f442 --- /dev/null +++ b/experiments/smm2bis.pl @@ -0,0 +1,110 @@ +:-use_module(library(clpfd)). + + +% N is the dot product of lists V1 and V2. +dot(V1, V2, N) :- maplist(product,V1,V2,P), sumlist(P,N). +product(N1,N2,N3) :- N3 is N1*N2. + +% Matrix multiplication with matrices represented +% as lists of lists. M3 is the product of M1 and M2 +mmult(M1, M2, M3) :- transpose(M2,MT), maplist(mm_helper(MT), M1, M3). +mm_helper(M2, I1, M3) :- maplist(dot(I1), M2, M3). + + +suml([],[],[]). + +suml(L1,L2,[E1 + E2|R2]):- + L1 = [E1|T1], + L2 = [E2|T2], + suml(T1,T2,R2). + + + +summ([],[],[]). +summ(M1,M2,[Lr|R2]):- + M1 = [E1|T1], + M2 = [E2|T2], + suml(E1,E2,Lr), + summ(T1,T2,R2). + + +flatten(List, Flattened):- + flatten(List, [], Flattened). + +flatten([], Flattened, Flattened). +flatten([Item|Tail], L, Flattened):- + flatten(Item, L1, Flattened), + flatten(Tail, L, L1). +flatten(Item, Flattened, [Item|Flattened]):- + \+ is_list(Item). + +touspositifs(X):- + flatten(X,XF), + tp(XF). + +tp([]). +tp(X):- + X = [E|L], + E #> 0, + tp(L). + + + + +sc2(X):- + mmult(X,X,X2), + mmult(X,X2,X3), + mmult(X,X3,X4), + summ(X,X2,S1), + summ(S1,X3,S2), + summ(S2,X4,S3), + touspositifs(S3). + + + + + +bistoc(M):- + M=[[M0_0, M0_1, 0, M0_3], [M1_0, M1_1, 0, M1_3], + [M2_0, 0, M2_2, M2_3], [0, M3_1, M3_2, M3_3]], + [M0_0, M1_1, M2_2, M3_3] ins 0..2, + [M0_1, M0_3, M1_0, M1_3, M2_0, M2_3, M3_1, M3_2] ins 0..1, + M0_0+ M0_1+ M0_2 #=2, M1_0+ M1_1+ M1_3 #=2, + M2_0+ M2_2+ M2_3 #=2, M3_1+ M3_2+ M3_3 #=2, + M0_0+ M1_0+ M2_0 #=2, M0_1+ M1_1+ M3_1 #=2, + M0_2+ M2_2+ M3_2 #=2, M1_3+ M2_3+ M3_3 #=2, + mmult(M,M,M2), + mmult(M,M2,M3), + mmult(M,M3,M4), + summ(M,M2,S2), + summ(S2,M3,S3), + summ(S3,M4,S4), + allpositive(S4), + label([M0_0, M0_1, M0_3, M1_0, M1_1, M1_3, M2_0, M2_2, M2_3, M3_1, M3_2, M3_3]), + + open('res2.txt',append,Stream), + write(Stream,M), + close(Stream). + + +display_m([]). +display_m([El|R]):- + write(El), + display_m(R). + + +solution(L):- + get_time(T0), + findall(X,bistoc(X),L), + get_time(T1), + DT is T1 - T0, + write('but : '),writeln(DT). + + + + + + + + + diff --git a/experiments/smm3.pl b/experiments/smm3.pl new file mode 100644 index 0000000..d73a749 --- /dev/null +++ b/experiments/smm3.pl @@ -0,0 +1,184 @@ +:-use_module(library(clpfd)). + + +% N is the dot product of lists V1 and V2. +dot(V1, V2, N) :- maplist(product,V1,V2,P), sumlist(P,N). +product(N1,N2,N3) :- N3 is N1*N2. + +% Matrix multiplication with matrices represented +% as lists of lists. M3 is the product of M1 and M2 +mmult(M1, M2, M3) :- transpose(M2,MT), maplist(mm_helper(MT), M1, M3). +mm_helper(M2, I1, M3) :- maplist(dot(I1), M2, M3). + + +suml([],[],[]). + +suml(L1,L2,[E1 + E2|R2]):- + L1 = [E1|T1], + L2 = [E2|T2], + suml(T1,T2,R2). + + + +summ([],[],[]). +summ(M1,M2,[Lr|R2]):- + M1 = [E1|T1], + M2 = [E2|T2], + suml(E1,E2,Lr), + summ(T1,T2,R2). + + +flatten(List, Flattened):- + flatten(List, [], Flattened). + +flatten([], Flattened, Flattened). +flatten([Item|Tail], L, Flattened):- + flatten(Item, L1, Flattened), + flatten(Tail, L, L1). +flatten(Item, Flattened, [Item|Flattened]):- + \+ is_list(Item). + +touspositifs(X):- + flatten(X,XF), + tp(XF). + +tp([]). +tp(X):- + X = [E|L], + E #> 0, + tp(L). + + +sc3(X1):- + mmult(X1,X1,X2), + mmult(X1,X2,X3), + mmult(X1,X3,X4), + mmult(X1,X4,X5), + mmult(X1,X5,X6), + mmult(X1,X6,X7), + mmult(X1,X7,X8), + summ(X1,X2,S2), + summ(S2,X3,S3), + summ(S3,X4,S4), + summ(S4,X5,S5), + summ(S5,X6,S6), + summ(S6,X7,S7), + summ(S7,X8,S8), + touspositifs(S8). + +bistoc(X):- + X=[[M0X0, M0X1, M0X2, M0X3, M0X4, M0X5, M0X6, M0X7], [M1X0, M1X1, M1X2, M1X3, M1X4, M1X5, M1X6, M1X7], [M2X0, M2X1, M2X2, M2X3, M2X4, M2X5, M2X6, M2X7], [M3X0, M3X1, M3X2, M3X3, M3X4, M3X5, M3X6, M3X7], [M4X0, M4X1, M4X2, M4X3, M4X4, M4X5, M4X6, M4X7], [M5X0, M5X1, M5X2, M5X3, M5X4, M5X5, M5X6, M5X7], [M6X0, M6X1, M6X2, M6X3, M6X4, M6X5, M6X6, M6X7], [M7X0, M7X1, M7X2, M7X3, M7X4, M7X5, M7X6, M7X7]], + M0X0 in 0..3, + M0X1 in 0..1, + M0X2 in 0..1, + M0X3 is 0 , + M0X4 in 0..1, + M0X5 is 0 , + M0X6 is 0 , + M0X7 is 0 , + M1X0 in 0..1, + M1X1 in 0..3, + M1X2 is 0 , + M1X3 in 0..1, + M1X4 is 0 , + M1X5 in 0..1, + M1X6 is 0 , + M1X7 is 0 , + M2X0 in 0..1, + M2X1 is 0 , + M2X2 in 0..3, + M2X3 in 0..1, + M2X4 is 0 , + M2X5 is 0 , + M2X6 in 0..1, + M2X7 is 0 , + M3X0 is 0 , + M3X1 in 0..1, + M3X2 in 0..1, + M3X3 in 0..3, + M3X4 is 0 , + M3X5 is 0 , + M3X6 is 0 , + M3X7 in 0..1, + M4X0 in 0..1, + M4X1 is 0 , + M4X2 is 0 , + M4X3 is 0 , + M4X4 in 0..3, + M4X5 in 0..1, + M4X6 in 0..1, + M4X7 is 0 , + M5X0 is 0 , + M5X1 in 0..1, + M5X2 is 0 , + M5X3 is 0 , + M5X4 in 0..1, + M5X5 in 0..3, + M5X6 is 0 , + M5X7 in 0..1, + M6X0 is 0 , + M6X1 is 0 , + M6X2 in 0..1, + M6X3 is 0 , + M6X4 in 0..1, + M6X5 is 0 , + M6X6 in 0..3, + M6X7 in 0..1, + M7X0 is 0 , + M7X1 is 0 , + M7X2 is 0 , + M7X3 in 0..1, + M7X4 is 0 , + M7X5 in 0..1, + M7X6 in 0..1, + M7X7 in 0..3, + M0X0+ M0X1+ M0X2+ M0X3+ M0X4+ M0X5+ M0X6+ M0X7 #=3 , + M1X0+ M1X1+ M1X2+ M1X3+ M1X4+ M1X5+ M1X6+ M1X7 #=3 , + M2X0+ M2X1+ M2X2+ M2X3+ M2X4+ M2X5+ M2X6+ M2X7 #=3 , + M3X0+ M3X1+ M3X2+ M3X3+ M3X4+ M3X5+ M3X6+ M3X7 #=3 , + M4X0+ M4X1+ M4X2+ M4X3+ M4X4+ M4X5+ M4X6+ M4X7 #=3 , + M5X0+ M5X1+ M5X2+ M5X3+ M5X4+ M5X5+ M5X6+ M5X7 #=3 , + M6X0+ M6X1+ M6X2+ M6X3+ M6X4+ M6X5+ M6X6+ M6X7 #=3 , + M7X0+ M7X1+ M7X2+ M7X3+ M7X4+ M7X5+ M7X6+ M7X7 #=3 , + M0X0+ M0X1+ M0X2+ M0X3+ M0X4+ M0X5+ M0X6+ M0X7 #=3 , + M0X0+ M1X0+ M2X0+ M3X0+ M4X0+ M5X0+ M6X0+ M7X0 #=3 , + M1X0+ M1X1+ M1X2+ M1X3+ M1X4+ M1X5+ M1X6+ M1X7 #=3 , + M0X1+ M1X1+ M2X1+ M3X1+ M4X1+ M5X1+ M6X1+ M7X1 #=3 , + M2X0+ M2X1+ M2X2+ M2X3+ M2X4+ M2X5+ M2X6+ M2X7 #=3 , + M0X2+ M1X2+ M2X2+ M3X2+ M4X2+ M5X2+ M6X2+ M7X2 #=3 , + M3X0+ M3X1+ M3X2+ M3X3+ M3X4+ M3X5+ M3X6+ M3X7 #=3 , + M0X3+ M1X3+ M2X3+ M3X3+ M4X3+ M5X3+ M6X3+ M7X3 #=3 , + M4X0+ M4X1+ M4X2+ M4X3+ M4X4+ M4X5+ M4X6+ M4X7 #=3 , + M0X4+ M1X4+ M2X4+ M3X4+ M4X4+ M5X4+ M6X4+ M7X4 #=3 , + M5X0+ M5X1+ M5X2+ M5X3+ M5X4+ M5X5+ M5X6+ M5X7 #=3 , + M0X5+ M1X5+ M2X5+ M3X5+ M4X5+ M5X5+ M6X5+ M7X5 #=3 , + M6X0+ M6X1+ M6X2+ M6X3+ M6X4+ M6X5+ M6X6+ M6X7 #=3 , + M0X6+ M1X6+ M2X6+ M3X6+ M4X6+ M5X6+ M6X6+ M7X6 #=3 , + M7X0+ M7X1+ M7X2+ M7X3+ M7X4+ M7X5+ M7X6+ M7X7 #=3 , + M0X7+ M1X7+ M2X7+ M3X7+ M4X7+ M5X7+ M6X7+ M7X7 #=3 , + label([M0X0, M0X1, M0X2, M0X3, M0X4, M0X5, M0X6, M0X7, M1X0, M1X1, M1X2, M1X3, M1X4, M1X5, M1X6, M1X7, M2X0, M2X1, M2X2, M2X3, M2X4, M2X5, M2X6, M2X7, M3X0, M3X1, M3X2, M3X3, M3X4, M3X5, M3X6, M3X7, M4X0, M4X1, M4X2, M4X3, M4X4, M4X5, M4X6, M4X7, M5X0, M5X1, M5X2, M5X3, M5X4, M5X5, M5X6, M5X7, M6X0, M6X1, M6X2, M6X3, M6X4, M6X5, M6X6, M6X7, M7X0, M7X1, M7X2, M7X3, M7X4, M7X5, M7X6, M7X7]), + sc3(X), + open('res3.txt',append,Stream), + write(Stream,X), + close(Stream). + + + + +display_m([]). +display_m([El|R]):- + write(El), + display_m(R). + + +solution(L):- + get_time(T0), + findall(X,bistoc(X),L), + get_time(T1), + DT is T1 - T0, + write('but : '),writeln(DT), + display_m(L). + + + + diff --git a/experiments/smm4.pl b/experiments/smm4.pl new file mode 100644 index 0000000..f40afca --- /dev/null +++ b/experiments/smm4.pl @@ -0,0 +1,417 @@ +:-use_module(library(clpfd)). + + +% N is the dot product of lists V1 and V2. +dot(V1, V2, N) :- maplist(product,V1,V2,P), sumlist(P,N). +product(N1,N2,N3) :- N3 is N1*N2. + +% Matrix multiplication with matrices represented +% as lists of lists. M3 is the product of M1 and M2 +mmult(M1, M2, M3) :- transpose(M2,MT), maplist(mm_helper(MT), M1, M3). +mm_helper(M2, I1, M3) :- maplist(dot(I1), M2, M3). + + +suml([],[],[]). + +suml(L1,L2,[E1 + E2|R2]):- + L1 = [E1|T1], + L2 = [E2|T2], + suml(T1,T2,R2). + + + +summ([],[],[]). +summ(M1,M2,[Lr|R2]):- + M1 = [E1|T1], + M2 = [E2|T2], + suml(E1,E2,Lr), + summ(T1,T2,R2). + + +flatten(List, Flattened):- + flatten(List, [], Flattened). + +flatten([], Flattened, Flattened). +flatten([Item|Tail], L, Flattened):- + flatten(Item, L1, Flattened), + flatten(Tail, L, L1). +flatten(Item, Flattened, [Item|Flattened]):- + \+ is_list(Item). + +touspositifs(X):- + flatten(X,XF), + tp(XF). + +tp([]). +tp(X):- + X = [E|L], + E #> 0, + tp(L). + + +sc4(X1):- + mmult(X1,X1,X2), + mmult(X1,X2,X3), + mmult(X1,X3,X4), + mmult(X1,X4,X5), + mmult(X1,X5,X6), + mmult(X1,X6,X7), + mmult(X1,X7,X8), + mmult(X1,X8,X9), + mmult(X1,X9,X10), + mmult(X1,X10,X11), + mmult(X1,X11,X12), + mmult(X1,X12,X13), + mmult(X1,X13,X14), + mmult(X1,X14,X15), + mmult(X1,X15,X16), + summ(X1,X2,S2), + summ(S2,X3,S3), + summ(S3,X4,S4), + summ(S4,X5,S5), + summ(S5,X6,S6), + summ(S6,X7,S7), + summ(S7,X8,S8), + summ(S8,X9,S9), + summ(S9,X10,S10), + summ(S10,X11,S11), + summ(S11,X12,S12), + summ(S12,X13,S13), + summ(S13,X14,S14), + summ(S14,X15,S15), + summ(S15,X16,S16), + touspositifs(S16). + +bistoc(X):- + X=[[M0X0, M0X1, M0X2, M0X3, M0X4, M0X5, M0X6, M0X7, M0X8, M0X9, M0X10, M0X11, M0X12, M0X13, M0X14, M0X15], [M1X0, M1X1, M1X2, M1X3, M1X4, M1X5, M1X6, M1X7, M1X8, M1X9, M1X10, M1X11, M1X12, M1X13, M1X14, M1X15], [M2X0, M2X1, M2X2, M2X3, M2X4, M2X5, M2X6, M2X7, M2X8, M2X9, M2X10, M2X11, M2X12, M2X13, M2X14, M2X15], [M3X0, M3X1, M3X2, M3X3, M3X4, M3X5, M3X6, M3X7, M3X8, M3X9, M3X10, M3X11, M3X12, M3X13, M3X14, M3X15], [M4X0, M4X1, M4X2, M4X3, M4X4, M4X5, M4X6, M4X7, M4X8, M4X9, M4X10, M4X11, M4X12, M4X13, M4X14, M4X15], [M5X0, M5X1, M5X2, M5X3, M5X4, M5X5, M5X6, M5X7, M5X8, M5X9, M5X10, M5X11, M5X12, M5X13, M5X14, M5X15], [M6X0, M6X1, M6X2, M6X3, M6X4, M6X5, M6X6, M6X7, M6X8, M6X9, M6X10, M6X11, M6X12, M6X13, M6X14, M6X15], [M7X0, M7X1, M7X2, M7X3, M7X4, M7X5, M7X6, M7X7, M7X8, M7X9, M7X10, M7X11, M7X12, M7X13, M7X14, M7X15], [M8X0, M8X1, M8X2, M8X3, M8X4, M8X5, M8X6, M8X7, M8X8, M8X9, M8X10, M8X11, M8X12, M8X13, M8X14, M8X15], [M9X0, M9X1, M9X2, M9X3, M9X4, M9X5, M9X6, M9X7, M9X8, M9X9, M9X10, M9X11, M9X12, M9X13, M9X14, M9X15], [M10X0, M10X1, M10X2, M10X3, M10X4, M10X5, M10X6, M10X7, M10X8, M10X9, M10X10, M10X11, M10X12, M10X13, M10X14, M10X15], [M11X0, M11X1, M11X2, M11X3, M11X4, M11X5, M11X6, M11X7, M11X8, M11X9, M11X10, M11X11, M11X12, M11X13, M11X14, M11X15], [M12X0, M12X1, M12X2, M12X3, M12X4, M12X5, M12X6, M12X7, M12X8, M12X9, M12X10, M12X11, M12X12, M12X13, M12X14, M12X15], [M13X0, M13X1, M13X2, M13X3, M13X4, M13X5, M13X6, M13X7, M13X8, M13X9, M13X10, M13X11, M13X12, M13X13, M13X14, M13X15], [M14X0, M14X1, M14X2, M14X3, M14X4, M14X5, M14X6, M14X7, M14X8, M14X9, M14X10, M14X11, M14X12, M14X13, M14X14, M14X15], [M15X0, M15X1, M15X2, M15X3, M15X4, M15X5, M15X6, M15X7, M15X8, M15X9, M15X10, M15X11, M15X12, M15X13, M15X14, M15X15]], + M0X0 in 0..4, + M0X1 in 0..1, + M0X2 in 0..1, + M0X3 is 0 , + M0X4 in 0..1, + M0X5 is 0 , + M0X6 is 0 , + M0X7 is 0 , + M0X8 in 0..1, + M0X9 is 0 , + M0X10 is 0 , + M0X11 is 0 , + M0X12 is 0 , + M0X13 is 0 , + M0X14 is 0 , + M0X15 is 0 , + M1X0 in 0..1, + M1X1 in 0..4, + M1X2 is 0 , + M1X3 in 0..1, + M1X4 is 0 , + M1X5 in 0..1, + M1X6 is 0 , + M1X7 is 0 , + M1X8 is 0 , + M1X9 in 0..1, + M1X10 is 0 , + M1X11 is 0 , + M1X12 is 0 , + M1X13 is 0 , + M1X14 is 0 , + M1X15 is 0 , + M2X0 in 0..1, + M2X1 is 0 , + M2X2 in 0..4, + M2X3 in 0..1, + M2X4 is 0 , + M2X5 is 0 , + M2X6 in 0..1, + M2X7 is 0 , + M2X8 is 0 , + M2X9 is 0 , + M2X10 in 0..1, + M2X11 is 0 , + M2X12 is 0 , + M2X13 is 0 , + M2X14 is 0 , + M2X15 is 0 , + M3X0 is 0 , + M3X1 in 0..1, + M3X2 in 0..1, + M3X3 in 0..4, + M3X4 is 0 , + M3X5 is 0 , + M3X6 is 0 , + M3X7 in 0..1, + M3X8 is 0 , + M3X9 is 0 , + M3X10 is 0 , + M3X11 in 0..1, + M3X12 is 0 , + M3X13 is 0 , + M3X14 is 0 , + M3X15 is 0 , + M4X0 in 0..1, + M4X1 is 0 , + M4X2 is 0 , + M4X3 is 0 , + M4X4 in 0..4, + M4X5 in 0..1, + M4X6 in 0..1, + M4X7 is 0 , + M4X8 is 0 , + M4X9 is 0 , + M4X10 is 0 , + M4X11 is 0 , + M4X12 in 0..1, + M4X13 is 0 , + M4X14 is 0 , + M4X15 is 0 , + M5X0 is 0 , + M5X1 in 0..1, + M5X2 is 0 , + M5X3 is 0 , + M5X4 in 0..1, + M5X5 in 0..4, + M5X6 is 0 , + M5X7 in 0..1, + M5X8 is 0 , + M5X9 is 0 , + M5X10 is 0 , + M5X11 is 0 , + M5X12 is 0 , + M5X13 in 0..1, + M5X14 is 0 , + M5X15 is 0 , + M6X0 is 0 , + M6X1 is 0 , + M6X2 in 0..1, + M6X3 is 0 , + M6X4 in 0..1, + M6X5 is 0 , + M6X6 in 0..4, + M6X7 in 0..1, + M6X8 is 0 , + M6X9 is 0 , + M6X10 is 0 , + M6X11 is 0 , + M6X12 is 0 , + M6X13 is 0 , + M6X14 in 0..1, + M6X15 is 0 , + M7X0 is 0 , + M7X1 is 0 , + M7X2 is 0 , + M7X3 in 0..1, + M7X4 is 0 , + M7X5 in 0..1, + M7X6 in 0..1, + M7X7 in 0..4, + M7X8 is 0 , + M7X9 is 0 , + M7X10 is 0 , + M7X11 is 0 , + M7X12 is 0 , + M7X13 is 0 , + M7X14 is 0 , + M7X15 in 0..1, + M8X0 in 0..1, + M8X1 is 0 , + M8X2 is 0 , + M8X3 is 0 , + M8X4 is 0 , + M8X5 is 0 , + M8X6 is 0 , + M8X7 is 0 , + M8X8 in 0..4, + M8X9 in 0..1, + M8X10 in 0..1, + M8X11 is 0 , + M8X12 in 0..1, + M8X13 is 0 , + M8X14 is 0 , + M8X15 is 0 , + M9X0 is 0 , + M9X1 in 0..1, + M9X2 is 0 , + M9X3 is 0 , + M9X4 is 0 , + M9X5 is 0 , + M9X6 is 0 , + M9X7 is 0 , + M9X8 in 0..1, + M9X9 in 0..4, + M9X10 is 0 , + M9X11 in 0..1, + M9X12 is 0 , + M9X13 in 0..1, + M9X14 is 0 , + M9X15 is 0 , + M10X0 is 0 , + M10X1 is 0 , + M10X2 in 0..1, + M10X3 is 0 , + M10X4 is 0 , + M10X5 is 0 , + M10X6 is 0 , + M10X7 is 0 , + M10X8 in 0..1, + M10X9 is 0 , + M10X10 in 0..4, + M10X11 in 0..1, + M10X12 is 0 , + M10X13 is 0 , + M10X14 in 0..1, + M10X15 is 0 , + M11X0 is 0 , + M11X1 is 0 , + M11X2 is 0 , + M11X3 in 0..1, + M11X4 is 0 , + M11X5 is 0 , + M11X6 is 0 , + M11X7 is 0 , + M11X8 is 0 , + M11X9 in 0..1, + M11X10 in 0..1, + M11X11 in 0..4, + M11X12 is 0 , + M11X13 is 0 , + M11X14 is 0 , + M11X15 in 0..1, + M12X0 is 0 , + M12X1 is 0 , + M12X2 is 0 , + M12X3 is 0 , + M12X4 in 0..1, + M12X5 is 0 , + M12X6 is 0 , + M12X7 is 0 , + M12X8 in 0..1, + M12X9 is 0 , + M12X10 is 0 , + M12X11 is 0 , + M12X12 in 0..4, + M12X13 in 0..1, + M12X14 in 0..1, + M12X15 is 0 , + M13X0 is 0 , + M13X1 is 0 , + M13X2 is 0 , + M13X3 is 0 , + M13X4 is 0 , + M13X5 in 0..1, + M13X6 is 0 , + M13X7 is 0 , + M13X8 is 0 , + M13X9 in 0..1, + M13X10 is 0 , + M13X11 is 0 , + M13X12 in 0..1, + M13X13 in 0..4, + M13X14 is 0 , + M13X15 in 0..1, + M14X0 is 0 , + M14X1 is 0 , + M14X2 is 0 , + M14X3 is 0 , + M14X4 is 0 , + M14X5 is 0 , + M14X6 in 0..1, + M14X7 is 0 , + M14X8 is 0 , + M14X9 is 0 , + M14X10 in 0..1, + M14X11 is 0 , + M14X12 in 0..1, + M14X13 is 0 , + M14X14 in 0..4, + M14X15 in 0..1, + M15X0 is 0 , + M15X1 is 0 , + M15X2 is 0 , + M15X3 is 0 , + M15X4 is 0 , + M15X5 is 0 , + M15X6 is 0 , + M15X7 in 0..1, + M15X8 is 0 , + M15X9 is 0 , + M15X10 is 0 , + M15X11 in 0..1, + M15X12 is 0 , + M15X13 in 0..1, + M15X14 in 0..1, + M15X15 in 0..4, + M0X0+ M0X1+ M0X2+ M0X3+ M0X4+ M0X5+ M0X6+ M0X7+ M0X8+ M0X9+ M0X10+ M0X11+ M0X12+ M0X13+ M0X14+ M0X15 #=4 , + M1X0+ M1X1+ M1X2+ M1X3+ M1X4+ M1X5+ M1X6+ M1X7+ M1X8+ M1X9+ M1X10+ M1X11+ M1X12+ M1X13+ M1X14+ M1X15 #=4 , + M2X0+ M2X1+ M2X2+ M2X3+ M2X4+ M2X5+ M2X6+ M2X7+ M2X8+ M2X9+ M2X10+ M2X11+ M2X12+ M2X13+ M2X14+ M2X15 #=4 , + M3X0+ M3X1+ M3X2+ M3X3+ M3X4+ M3X5+ M3X6+ M3X7+ M3X8+ M3X9+ M3X10+ M3X11+ M3X12+ M3X13+ M3X14+ M3X15 #=4 , + M4X0+ M4X1+ M4X2+ M4X3+ M4X4+ M4X5+ M4X6+ M4X7+ M4X8+ M4X9+ M4X10+ M4X11+ M4X12+ M4X13+ M4X14+ M4X15 #=4 , + M5X0+ M5X1+ M5X2+ M5X3+ M5X4+ M5X5+ M5X6+ M5X7+ M5X8+ M5X9+ M5X10+ M5X11+ M5X12+ M5X13+ M5X14+ M5X15 #=4 , + M6X0+ M6X1+ M6X2+ M6X3+ M6X4+ M6X5+ M6X6+ M6X7+ M6X8+ M6X9+ M6X10+ M6X11+ M6X12+ M6X13+ M6X14+ M6X15 #=4 , + M7X0+ M7X1+ M7X2+ M7X3+ M7X4+ M7X5+ M7X6+ M7X7+ M7X8+ M7X9+ M7X10+ M7X11+ M7X12+ M7X13+ M7X14+ M7X15 #=4 , + M8X0+ M8X1+ M8X2+ M8X3+ M8X4+ M8X5+ M8X6+ M8X7+ M8X8+ M8X9+ M8X10+ M8X11+ M8X12+ M8X13+ M8X14+ M8X15 #=4 , + M9X0+ M9X1+ M9X2+ M9X3+ M9X4+ M9X5+ M9X6+ M9X7+ M9X8+ M9X9+ M9X10+ M9X11+ M9X12+ M9X13+ M9X14+ M9X15 #=4 , + M10X0+ M10X1+ M10X2+ M10X3+ M10X4+ M10X5+ M10X6+ M10X7+ M10X8+ M10X9+ M10X10+ M10X11+ M10X12+ M10X13+ M10X14+ M10X15 #=4 , + M11X0+ M11X1+ M11X2+ M11X3+ M11X4+ M11X5+ M11X6+ M11X7+ M11X8+ M11X9+ M11X10+ M11X11+ M11X12+ M11X13+ M11X14+ M11X15 #=4 , + M12X0+ M12X1+ M12X2+ M12X3+ M12X4+ M12X5+ M12X6+ M12X7+ M12X8+ M12X9+ M12X10+ M12X11+ M12X12+ M12X13+ M12X14+ M12X15 #=4 , + M13X0+ M13X1+ M13X2+ M13X3+ M13X4+ M13X5+ M13X6+ M13X7+ M13X8+ M13X9+ M13X10+ M13X11+ M13X12+ M13X13+ M13X14+ M13X15 #=4 , + M14X0+ M14X1+ M14X2+ M14X3+ M14X4+ M14X5+ M14X6+ M14X7+ M14X8+ M14X9+ M14X10+ M14X11+ M14X12+ M14X13+ M14X14+ M14X15 #=4 , + M15X0+ M15X1+ M15X2+ M15X3+ M15X4+ M15X5+ M15X6+ M15X7+ M15X8+ M15X9+ M15X10+ M15X11+ M15X12+ M15X13+ M15X14+ M15X15 #=4 , + M0X0+ M0X1+ M0X2+ M0X3+ M0X4+ M0X5+ M0X6+ M0X7+ M0X8+ M0X9+ M0X10+ M0X11+ M0X12+ M0X13+ M0X14+ M0X15 #=4 , + M0X0+ M1X0+ M2X0+ M3X0+ M4X0+ M5X0+ M6X0+ M7X0+ M8X0+ M9X0+ M10X0+ M11X0+ M12X0+ M13X0+ M14X0+ M15X0 #=4 , + M1X0+ M1X1+ M1X2+ M1X3+ M1X4+ M1X5+ M1X6+ M1X7+ M1X8+ M1X9+ M1X10+ M1X11+ M1X12+ M1X13+ M1X14+ M1X15 #=4 , + M0X1+ M1X1+ M2X1+ M3X1+ M4X1+ M5X1+ M6X1+ M7X1+ M8X1+ M9X1+ M10X1+ M11X1+ M12X1+ M13X1+ M14X1+ M15X1 #=4 , + M2X0+ M2X1+ M2X2+ M2X3+ M2X4+ M2X5+ M2X6+ M2X7+ M2X8+ M2X9+ M2X10+ M2X11+ M2X12+ M2X13+ M2X14+ M2X15 #=4 , + M0X2+ M1X2+ M2X2+ M3X2+ M4X2+ M5X2+ M6X2+ M7X2+ M8X2+ M9X2+ M10X2+ M11X2+ M12X2+ M13X2+ M14X2+ M15X2 #=4 , + M3X0+ M3X1+ M3X2+ M3X3+ M3X4+ M3X5+ M3X6+ M3X7+ M3X8+ M3X9+ M3X10+ M3X11+ M3X12+ M3X13+ M3X14+ M3X15 #=4 , + M0X3+ M1X3+ M2X3+ M3X3+ M4X3+ M5X3+ M6X3+ M7X3+ M8X3+ M9X3+ M10X3+ M11X3+ M12X3+ M13X3+ M14X3+ M15X3 #=4 , + M4X0+ M4X1+ M4X2+ M4X3+ M4X4+ M4X5+ M4X6+ M4X7+ M4X8+ M4X9+ M4X10+ M4X11+ M4X12+ M4X13+ M4X14+ M4X15 #=4 , + M0X4+ M1X4+ M2X4+ M3X4+ M4X4+ M5X4+ M6X4+ M7X4+ M8X4+ M9X4+ M10X4+ M11X4+ M12X4+ M13X4+ M14X4+ M15X4 #=4 , + M5X0+ M5X1+ M5X2+ M5X3+ M5X4+ M5X5+ M5X6+ M5X7+ M5X8+ M5X9+ M5X10+ M5X11+ M5X12+ M5X13+ M5X14+ M5X15 #=4 , + M0X5+ M1X5+ M2X5+ M3X5+ M4X5+ M5X5+ M6X5+ M7X5+ M8X5+ M9X5+ M10X5+ M11X5+ M12X5+ M13X5+ M14X5+ M15X5 #=4 , + M6X0+ M6X1+ M6X2+ M6X3+ M6X4+ M6X5+ M6X6+ M6X7+ M6X8+ M6X9+ M6X10+ M6X11+ M6X12+ M6X13+ M6X14+ M6X15 #=4 , + M0X6+ M1X6+ M2X6+ M3X6+ M4X6+ M5X6+ M6X6+ M7X6+ M8X6+ M9X6+ M10X6+ M11X6+ M12X6+ M13X6+ M14X6+ M15X6 #=4 , + M7X0+ M7X1+ M7X2+ M7X3+ M7X4+ M7X5+ M7X6+ M7X7+ M7X8+ M7X9+ M7X10+ M7X11+ M7X12+ M7X13+ M7X14+ M7X15 #=4 , + M0X7+ M1X7+ M2X7+ M3X7+ M4X7+ M5X7+ M6X7+ M7X7+ M8X7+ M9X7+ M10X7+ M11X7+ M12X7+ M13X7+ M14X7+ M15X7 #=4 , + M8X0+ M8X1+ M8X2+ M8X3+ M8X4+ M8X5+ M8X6+ M8X7+ M8X8+ M8X9+ M8X10+ M8X11+ M8X12+ M8X13+ M8X14+ M8X15 #=4 , + M0X8+ M1X8+ M2X8+ M3X8+ M4X8+ M5X8+ M6X8+ M7X8+ M8X8+ M9X8+ M10X8+ M11X8+ M12X8+ M13X8+ M14X8+ M15X8 #=4 , + M9X0+ M9X1+ M9X2+ M9X3+ M9X4+ M9X5+ M9X6+ M9X7+ M9X8+ M9X9+ M9X10+ M9X11+ M9X12+ M9X13+ M9X14+ M9X15 #=4 , + M0X9+ M1X9+ M2X9+ M3X9+ M4X9+ M5X9+ M6X9+ M7X9+ M8X9+ M9X9+ M10X9+ M11X9+ M12X9+ M13X9+ M14X9+ M15X9 #=4 , + M10X0+ M10X1+ M10X2+ M10X3+ M10X4+ M10X5+ M10X6+ M10X7+ M10X8+ M10X9+ M10X10+ M10X11+ M10X12+ M10X13+ M10X14+ M10X15 #=4 , + M0X10+ M1X10+ M2X10+ M3X10+ M4X10+ M5X10+ M6X10+ M7X10+ M8X10+ M9X10+ M10X10+ M11X10+ M12X10+ M13X10+ M14X10+ M15X10 #=4 , + M11X0+ M11X1+ M11X2+ M11X3+ M11X4+ M11X5+ M11X6+ M11X7+ M11X8+ M11X9+ M11X10+ M11X11+ M11X12+ M11X13+ M11X14+ M11X15 #=4 , + M0X11+ M1X11+ M2X11+ M3X11+ M4X11+ M5X11+ M6X11+ M7X11+ M8X11+ M9X11+ M10X11+ M11X11+ M12X11+ M13X11+ M14X11+ M15X11 #=4 , + M12X0+ M12X1+ M12X2+ M12X3+ M12X4+ M12X5+ M12X6+ M12X7+ M12X8+ M12X9+ M12X10+ M12X11+ M12X12+ M12X13+ M12X14+ M12X15 #=4 , + M0X12+ M1X12+ M2X12+ M3X12+ M4X12+ M5X12+ M6X12+ M7X12+ M8X12+ M9X12+ M10X12+ M11X12+ M12X12+ M13X12+ M14X12+ M15X12 #=4 , + M13X0+ M13X1+ M13X2+ M13X3+ M13X4+ M13X5+ M13X6+ M13X7+ M13X8+ M13X9+ M13X10+ M13X11+ M13X12+ M13X13+ M13X14+ M13X15 #=4 , + M0X13+ M1X13+ M2X13+ M3X13+ M4X13+ M5X13+ M6X13+ M7X13+ M8X13+ M9X13+ M10X13+ M11X13+ M12X13+ M13X13+ M14X13+ M15X13 #=4 , + M14X0+ M14X1+ M14X2+ M14X3+ M14X4+ M14X5+ M14X6+ M14X7+ M14X8+ M14X9+ M14X10+ M14X11+ M14X12+ M14X13+ M14X14+ M14X15 #=4 , + M0X14+ M1X14+ M2X14+ M3X14+ M4X14+ M5X14+ M6X14+ M7X14+ M8X14+ M9X14+ M10X14+ M11X14+ M12X14+ M13X14+ M14X14+ M15X14 #=4 , + M15X0+ M15X1+ M15X2+ M15X3+ M15X4+ M15X5+ M15X6+ M15X7+ M15X8+ M15X9+ M15X10+ M15X11+ M15X12+ M15X13+ M15X14+ M15X15 #=4 , + M0X15+ M1X15+ M2X15+ M3X15+ M4X15+ M5X15+ M6X15+ M7X15+ M8X15+ M9X15+ M10X15+ M11X15+ M12X15+ M13X15+ M14X15+ M15X15 #=4 , + label([M0X0, M0X1, M0X2, M0X3, M0X4, M0X5, M0X6, M0X7, M0X8, M0X9, M0X10, M0X11, M0X12, M0X13, M0X14, M0X15, M1X0, M1X1, M1X2, M1X3, M1X4, M1X5, M1X6, M1X7, M1X8, M1X9, M1X10, M1X11, M1X12, M1X13, M1X14, M1X15, M2X0, M2X1, M2X2, M2X3, M2X4, M2X5, M2X6, M2X7, M2X8, M2X9, M2X10, M2X11, M2X12, M2X13, M2X14, M2X15, M3X0, M3X1, M3X2, M3X3, M3X4, M3X5, M3X6, M3X7, M3X8, M3X9, M3X10, M3X11, M3X12, M3X13, M3X14, M3X15, M4X0, M4X1, M4X2, M4X3, M4X4, M4X5, M4X6, M4X7, M4X8, M4X9, M4X10, M4X11, M4X12, M4X13, M4X14, M4X15, M5X0, M5X1, M5X2, M5X3, M5X4, M5X5, M5X6, M5X7, M5X8, M5X9, M5X10, M5X11, M5X12, M5X13, M5X14, M5X15, M6X0, M6X1, M6X2, M6X3, M6X4, M6X5, M6X6, M6X7, M6X8, M6X9, M6X10, M6X11, M6X12, M6X13, M6X14, M6X15, M7X0, M7X1, M7X2, M7X3, M7X4, M7X5, M7X6, M7X7, M7X8, M7X9, M7X10, M7X11, M7X12, M7X13, M7X14, M7X15, M8X0, M8X1, M8X2, M8X3, M8X4, M8X5, M8X6, M8X7, M8X8, M8X9, M8X10, M8X11, M8X12, M8X13, M8X14, M8X15, M9X0, M9X1, M9X2, M9X3, M9X4, M9X5, M9X6, M9X7, M9X8, M9X9, M9X10, M9X11, M9X12, M9X13, M9X14, M9X15, M10X0, M10X1, M10X2, M10X3, M10X4, M10X5, M10X6, M10X7, M10X8, M10X9, M10X10, M10X11, M10X12, M10X13, M10X14, M10X15, M11X0, M11X1, M11X2, M11X3, M11X4, M11X5, M11X6, M11X7, M11X8, M11X9, M11X10, M11X11, M11X12, M11X13, M11X14, M11X15, M12X0, M12X1, M12X2, M12X3, M12X4, M12X5, M12X6, M12X7, M12X8, M12X9, M12X10, M12X11, M12X12, M12X13, M12X14, M12X15, M13X0, M13X1, M13X2, M13X3, M13X4, M13X5, M13X6, M13X7, M13X8, M13X9, M13X10, M13X11, M13X12, M13X13, M13X14, M13X15, M14X0, M14X1, M14X2, M14X3, M14X4, M14X5, M14X6, M14X7, M14X8, M14X9, M14X10, M14X11, M14X12, M14X13, M14X14, M14X15, M15X0, M15X1, M15X2, M15X3, M15X4, M15X5, M15X6, M15X7, M15X8, M15X9, M15X10, M15X11, M15X12, M15X13, M15X14, M15X15]), + sc4(X), + open('res4.txt',append,Stream), + write(Stream,X), + close(Stream). + + + + + +display_m([]). +display_m([El|R]):- + write(El), + display_m(R). + + +solution(L):- + get_time(T0), + findall(X,bistoc(X),L), + get_time(T1), + DT is T1 - T0, + write('but : '),writeln(DT), + display_m(L). + + + + diff --git a/experiments/testVP.py b/experiments/testVP.py new file mode 100644 index 0000000..e9d5aec --- /dev/null +++ b/experiments/testVP.py @@ -0,0 +1,4 @@ +import numpy as np + +A = np.zeros(12) +A[0,0] diff --git a/graphe1.pdf b/graphe1.pdf new file mode 100644 index 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zf0M)GN#EJP6R_XugSUNnr~j)BJmq`;2;{~3ARz;03E}LY2yWbH5WxlG%I8A>Qoh3! dhE!j`T;Vla3NwVzEP@1MED@!nW8-3r`VZIsX+Qt~ literal 0 HcmV?d00001 diff --git a/intro.tex b/intro.tex new file mode 100644 index 0000000..7b342b6 --- /dev/null +++ b/intro.tex @@ -0,0 +1,71 @@ + +From the last two decades, many researchers have investigated the use +of chaotic systems to build pseudorandom +sequences~\cite{915396,915385,5376454}. Two main features can +intuitively explain this interest: first of all, chaotic systems have +unpredictable or disorder-like behavior which is needed for producing +complex sequences. Furthermore, such systems are extremely sensitive +to the initial states too: a tiny difference in the input +may lead to dramatic changes in output. + +Moreover, the property of chaos is often reduced to iterate a +\emph{chaotic} function, namely the logistic map\footnote{The logistic +map is defined by $X^0 \in [0,1], X^{n+1} = \mu X^n(1-X^n), \mu \in +[0,4]$.}~\cite{915396,915385}, the Arnolds cat map\footnote{Discrete +Arnolds cat map is defined by $(X^0, Y^0)\in [0,N]^2, X^{n+1} = 2 Y^n ++ X^n$ mod $N$, $Y^{n+1} = X^n+Y^n$ mod $N$.}~\cite{5376454}\ldots +Au\-thors +are thus focused on finding parameters of such kind of functions which +are the most suitable for generating random-like sequences. More +precisely, they have thus to find function parameters that avoid +parasitic attractors and that lead to a uniform distribution of the +output. To check how accurate are their generated +sequences~\cite{bfgw13:ij}, authors are then left to submit their +chaos-based PRNG with good parameters on statistical batteries of +tests~\cite{DBLP:journals/corr/abs-1112-5239}, namely: +DieHARD~\cite{Marsaglia1996}, NIST~\cite{Nist10}, and +TestU01~\cite{LEcuyerS07}. + + + +Devaney has formalized~\cite{Devaney} the fundamental properties of +the chaotic maps, namely: sensitive dependence on initial conditions, +transitivity, and density of periodic points. For short, a system is +sensitive to initial conditions if any point contains, in any +neighborhood, another point with a completely different future +trajectory. Topological transitivity is established when, for any +element, any neighborhood of its future evolution eventually overlaps +with any other open set. On the contrary, a dense set of periodic +points is an element of regularity that a chaotic dynamical system has +to exhibit. However, because of the finiteness of the memory of a +computer, only a kind of discrete chaos is generated. This induces +that chaotic properties, which could have been proven on $\Reels$, can +however be lost on floating point numbers, which is the interpretation +domain of $\Reels$. + +To avoid this loss of chaos, we had constructed chaos-based PRNGs +that iterate a continuous functions $G_f$ defined on the discrete +domain $\llbracket 1 ; n \rrbracket^{\Nats} \times \{0,1\}^n$ where +$f$ is a Boolean function (\textit{i.e.}, $f : \{0,1\}^n \rightarrow +\{0,1\}^n$). These PRNGs are named +$\textit{CIPRNG}_f^1(u)$~\cite{bgw09:ip,guyeuxTaiwan10}, +$\textit{CIPRNG}_f^2(u,v)$~\cite{wbg10:ip}, and +$\textit{XOR~CIPRNG}(S)$~\cite{DBLP:journals/corr/abs-1112-5239}, +where \textit{CI} stands for \emph{Chaotic Iterations}, which have +been particularized according to the function they iterate. + +Chaotic properties have been well established for both the +$\textit{XOR~CIPRNG}$ and $\textit{CIPRNG}_f^1(u)$ under certain +conditions for the iteration function $f$, it has been formerly +deduced that it was the case too for the whole $\textit{CIPRNG}_f^2$ +category of generators. However, contrarily to what has been too much +rapidly deduced, this claim is not obvious (a subsequence of a chaotic +sequence is not necessarily a chaotic sequence too) and it +necessitates a rigorous proof, which is the aim of this article. + +The remainder of the paper is organized as follows. +Section~\ref{sec:notations} recalls definitions of chaos properties +and of the family of \textit{CIPRNG}. Section~\ref{sec:wellchosen} +gives the complete proof of chaos for the $\textit{CIPRNG}_f^2$ +category. This is the main contribution of this work. 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[color="blue",style="dashed"] +/* + 000 -> 100 [style="dashed"] + 100 -> 101 [style="dashed"] + 101 -> 001 [style="dashed"] + 001 -> 011 [style="dashed"] + 011 -> 111 [style="dashed"] + 111 -> 110 [style="dashed"] + 110 -> 010 [style="dashed"] + 010 -> 000 [style="dashed"] +*/ + +} diff --git a/talk/#assync.tex# b/talk/#assync.tex# new file mode 100644 index 0000000..b5a9dd5 --- /dev/null +++ b/talk/#assync.tex# @@ -0,0 +1,31 @@ +\begin{itemize} +\item Calculs effectués sur chaque n{\oe}ud: réécriture de +$$ +w_l^{(k+1)} = w_l^{(k+1)} + \theta^{(k)}. \left( \sum_{i \in N} a_{il}.q_i^{(k)} \right) +$$ +\item Conditions pour la convergence asynchrone du calcul\footnote{Nedić, A., Bertsekas, D. P., \& Borkar, V. S. (2001). Distributed asynchronous incremental subgradient methods. Studies in Computational Mathematics, 8, 381-407.} +\begin{itemize} +\item Majoration des sous-gradients par une constante $C$ +\item $\theta$: sous la forme $\omega / t^{q}$ avec $3/4 < q \leq 1$ + \end{itemize} +\item Premières expérimentations: +\begin{itemize} +\item Pour chaque variable $X$ à modifier: + $X^{k+1} = f(X^{k}) if \textit{random()}B-;7)=E*FbO!GB`811cC*3CqU3)a0Y@C2o@Lug9LXU zAb9XIxu5%azdBW?>N{so)%vsc?A_ga^;+FmU;XgwVFf^|X!#v;> z02>nv8w(Q~8w(o;2OAfk1Roy{5C1U{F#*Yw$5d2L9#c|2rDJ7yO2bS`Ny*5~$jrvh z!O20*z{AJ$oR9T6$Me4rLBqkp!NW_ZtU3t*9UTn~6AKpy6Bi2u6Lljx0D}~h>>0lt z7P+>2=wl`UK}(OMI_#G^x}H7b%<_fxEJClWKP0dI#-Xrk`1abX2vF$a7}ywi|4yT!V_;&DJ|olSm$Srv=^k3wL;iS` zf{9tc<3r*2?}s@60R~EXQVddn4B$?el!TNN?f-WmCmN1<`-?N4B^M1t09Fz*x$7Y- zp>*|Trn*_X?M)lS-F`yiw!q7m6jF}oRSTw<1qm;3DQS_#q=R-I+;vDXk2kFxle(!& z`won;Vy78kS22b0#MKA_bO~nQGe&sPQX%>K%_z(eb{@UDZy(;YKJVyOFI1NWsQNkk zU*RfpPO_&j@A`55=rlSBM+Tn^-bQMW;3FWGJ(H`QlDBr^^NkMxBRXKPPngdUL*_@d 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z0xPZ^OR((^mUNL=YVI^up;@%5Kk#Y5;nr&xZy(zv=JloR1@GoH&8A<%OLDri#MpHH!sS0RH_X~0*E;WF*^CCo?)leV z?J4{h7n>`krdwyWIJ3lAdrf=q1?JEU_Pd|?W;9ve$o%*@QFg)e-Hr3!WnFtTbzM@z z_4O}zoj{novgcfC^oaAL&PA8#jBtv{sbC%2(uyU%&iFUn%| zKU}@SMHieBWj!oONF3-v1!)qW7n4^SfUAKK%P(($ZOe zxtR@a8BJU!hocf6#pSQOvi$6sE4LRO4XTXX8snQ`NF`(VLdjotsv>m(2~Ze)(n9(pUagQ;z)7 z=!uY8v%)=R?u}m-6JqDH1U+AJu5+!ht^8(_m`m5w8ZZ3VvvgwNSC7e))znS)-M)0> z{I3QR%giF9m);wu+dDp1G4WehV=o}DZs%7s=ZD3|!bgv_7lcoGVv+eNRKcWPrLUo@M@v={6C8ivYqz7qv`bd>!xXGFMr#Ix_Z~khfUSVUb*6w zj`Z5_snOetoI-n3^XG<#X5VCgze+3eS@Eh@I=_<~uS%WPyB`#~?agl2(67_({;ZF0 ze!8@Km6Y!LzaF8JpLU0aik^<&zi^f0wgX`|_D#(v%&KQW3U15uc`AJBWE;M tp1%Kk^^AirUq7^eTXDV!vsfuENh~UTSTmUK<+e!cc literal 0 HcmV?d00001 diff --git a/talk/cv.tex b/talk/cv.tex new file mode 100644 index 0000000..1c04c31 --- /dev/null +++ b/talk/cv.tex @@ -0,0 +1,18 @@ +\begin{itemize} +\item Fields of Applications: +\begin{itemize} +\item Information Security: Hash function, Steganography, Stream cipher +\item Time Synchronization: GPS +\item Numerical simulations: Monte-Carlo algorithms +\item<-2> Simulation of Chaotic systems: Double pendulum, Protein dynamics +\item \ldots +\end{itemize} +\item Practical requirements: +\begin{itemize} +\item Reproducibility: same seed $\leadsto$ same stream +\item Successfull pass on PRNG batteries of tests +currently the NIST suite~\cite{Nist10}, and DieHARD~\cite{Marsaglia1996} +\item<-2> Should have chaotic properties if needed +\end{itemize} +\end{itemize} + diff --git a/talk/cv.tex~ b/talk/cv.tex~ new file mode 100644 index 0000000..24bfbce --- /dev/null +++ b/talk/cv.tex~ @@ -0,0 +1,8 @@ +\vspace{-1em} +\includegraphics[width=9cm]{reseau.png} +\vspace{-3em} +\begin{itemize} +\item Objectif: maximiser la durée de vie du réseau $T_{\textit{net}}$ +\item Objectif équivalent: minimiser l'inverse $q = \dfrac{1}{T_{\textit{net}}}$ +\end{itemize} + diff --git a/talk/dsscintuition.tex b/talk/dsscintuition.tex new file mode 100644 index 0000000..daac4f1 --- /dev/null +++ b/talk/dsscintuition.tex @@ -0,0 +1,18 @@ +\begin{block}{From Theory} +Find all the $2^n\times 2^n$ matrices $M=\dfrac{1}{n}.\hat{M}$ such that: +\begin{enumerate} +\item $\hat{M}_{ij}=0$ if $j$ is not a neighbor of $i$ +%, \textit{i.e.}, there is no edge from $i$ to $j$ in the $n$-cube. +\item $0 \le \hat{M}_{ii} \le n$: the number of loops around $i$ is lesser than $n$ +\item Otherwise $\hat{M}_{ij}=1$ if the edge from $i$ to $j$ is kept and 0 otherwise +\item For any index of line $i$, $1 \le i\le 2^n$, $n = \sum_{1 \le j\le 2^n} \hat{M}_{ij}$: + the matrix is right stochastic +\item For any index of column $j$, + $1 \le j\le 2^n$, $n = \sum_{1 \le i\le 2^n} \hat{M}_{ij}$: + the matrix is left stochastic +\item All the values of $\sum_{1\le k\le 2^n}\hat{M}^k$ are strictly positive: the induced graph is strongly connected +\end{enumerate} +\end{block} + + + diff --git a/talk/dsscintuition.tex~ b/talk/dsscintuition.tex~ new file mode 100644 index 0000000..240e33b --- /dev/null +++ b/talk/dsscintuition.tex~ @@ -0,0 +1,18 @@ +\begin{block}{From Theory} +Find all the $2^n\times 2^n$ matrices $\dfrac{1}{n}.M$ such that: +\begin{enumerate} +\item $M_{ij}=0$ if $j$ is not a neighbor of $i$ +%, \textit{i.e.}, there is no edge from $i$ to $j$ in the $n$-cube. +\item $0 \le M_{ii} \le n$: the number of loops around $i$ is lesser than $n$ +\item Otherwise $M_{ij}=1$ if the edge from $i$ to $j$ is kept and 0 otherwise +\item For any index of line $i$, $1 \le i\le 2^n$, $n = \sum_{1 \le j\le 2^n} M_{ij}$: + the matrix is right stochastic +\item For any index of column $j$, + $1 \le j\le 2^n$, $n = \sum_{1 \le i\le 2^n} M_{ij}$: + the matrix is left stochastic +\item All the values of $\sum_{1\le k\le 2^n}M^k$ are strictly positive, (the induced graph is strongly connected) +\end{enumerate} +\end{block} + + + diff --git a/talk/dsscintuition2.tex b/talk/dsscintuition2.tex new file mode 100644 index 0000000..3b91ef3 --- /dev/null +++ b/talk/dsscintuition2.tex @@ -0,0 +1,36 @@ +\begin{exampleblock}{To Practice} +\begin{itemize} +\item Definitively not efficient enough: a \emph{generate and test} approach +\item $f^*(x_1,x_2,x_3) = +(x_2 \oplus x_3, \overline{x_1}\overline{x_3} + x_1\overline{x_2}, +\overline{x_1}\overline{x_3} + x_1x_2)$: function with the smallest MT, $n=3$ +\item<2> $f^*$: the $3$-cube in which the \emph{Hamiltonian cycle} +$000,100,101,001,011,111,110,010,000$ +has been removed +\end{itemize} +\vspace{-1em} +\begin{minipage}{0.49\textwidth} +\includegraphics<1>[scale=0.5]{iter_f0c} +\includegraphics<2>[scale=0.5]{iter_f0d} +\end{minipage} +\begin{minipage}{0.49\textwidth} +\vspace{-1em} +\[ +M=\dfrac{1}{3} \left( +\begin{array}{llllllll} +1&1&1&0&0&0&0&0 \\ +1&1&0&0&0&1&0&0 \\ +0&0&1&1&0&0&1&0 \\ +0&1&1&1&0&0&0&0 \\ +1&0&0&0&1&0&1&0 \\ +0&0&0&0&1&1&0&1 \\ +0&0&0&0&1&0&1&1 \\ +0&0&0&1&0&1&0&1 +\end{array} +\right) +\] +\end{minipage} +\end{exampleblock} + + + diff --git a/talk/dsscintuition2.tex~ b/talk/dsscintuition2.tex~ new file mode 100644 index 0000000..eefb8fc --- /dev/null +++ b/talk/dsscintuition2.tex~ @@ -0,0 +1,20 @@ +\begin{exampleblock}{To Practice} +\begin{itemize} +\item Definitively not efficient enough: a \emph{generate and test} approach +\item $f^*(x_1,x_2,x_3) = (x_2 \oplus x_3, x_1 \oplus \overline{x_3},\overline{x_3})$: function with the smallest MT, $n=3$ +\item $f^*$: the $3$-cube in which the \emph{Hamiltonian cycle} +$000,100,101,001,011,111,110,010,000$ +has been removed +\end{itemize} +\vspace{-3em} +\begin{figure} +\begin{center} +\includegraphics[scale=0.5]{iter_f0b.eps} +\end{center} +\caption{Iteration Graph $\Gamma(f^*)$ of the function $f^*$}\label{fig:iteration:f*} +\end{figure} + +\end{exampleblock} + + + diff --git a/talk/expcontext.tex b/talk/expcontext.tex new file mode 100644 index 0000000..fdb9f04 --- /dev/null +++ b/talk/expcontext.tex @@ -0,0 +1,12 @@ +For each $n=4,5,6,7,8$ +\begin{itemize} +\item Generation of Balanced Gray Codes $\leadsto$ + functions $f$ to iterate +\item Selection of the function $f*$ minimizing the mixing time $b$ +\item Reproduced in the paper +\item Evaluation through NIST and DieHARD +\item $\leadsto$ all the generators pass the NIST and the DieHARD +batteries of tests +\end{itemize} + + diff --git a/talk/expcontext.tex.bak b/talk/expcontext.tex.bak new file mode 100644 index 0000000..881c1b5 --- /dev/null +++ b/talk/expcontext.tex.bak @@ -0,0 +1,12 @@ +For each $n=4,5,6,7,8$ +\begin{itemize} +\item Generation of Ballanced Gray Codes $\leadsto$ + functions $f$ to iterate +\item Selection of the function $f*$ minimizing the mixing time $b$ +\item Reproduced in the paper +\item Evaluation through NIST and DieHARD +\item $\leadsto$ all the generators pass the NIST and the DieHARD +batteries of tests +\end{itemize} + + diff --git a/talk/expcontext.tex~ b/talk/expcontext.tex~ new file mode 100644 index 0000000..c4027ad --- /dev/null +++ b/talk/expcontext.tex~ @@ -0,0 +1,2 @@ +\begin{itemize} +\item \ No newline at end of file diff --git a/talk/formalisation.tex~ b/talk/formalisation.tex~ new file mode 100644 index 0000000..35933e6 --- /dev/null +++ b/talk/formalisation.tex~ @@ -0,0 +1 @@ +\begin{itemize} \ No newline at end of file diff --git a/talk/formalisationenergie.tex b/talk/formalisationenergie.tex new file mode 100644 index 0000000..ca1dad2 --- /dev/null +++ b/talk/formalisationenergie.tex @@ -0,0 +1,13 @@ +\begin{itemize} +\item Puissance d'encodage au n{\oe}ud $i$: $P_{si}$, \alert<2>{$P_{si} > 0$}. +\item Distorsion bornée: \alert<2>{$\sigma^2 e^{-\gamma . R_h.P_{sh}^{}2/3} \leq D_h$}. +\item Charge initiale du n{\oe}ud $i$: $B_i$ +\item Puissance dissipée au n{\oe}ud $i$: +$$ +P_{si}+ P_{ti} + P_{ri}= +\alert<2>{P_{si}+ \sum_{l \in L}a_{il}^{+}.c^s_l.y_l + +\sum_{l \in L} a_{il}^{-}.c^r.y_l \leq q.B_i}. +$$ + +\end{itemize} + diff --git a/talk/formalisationenergie.tex.bak b/talk/formalisationenergie.tex.bak new file mode 100644 index 0000000..7d873ec --- /dev/null +++ b/talk/formalisationenergie.tex.bak @@ -0,0 +1,12 @@ +\begin{itemize} +\item Puissance d'encodage au n{\oe}ud $i$: $P_{si}$, \alert<2>{$P_{si} > 0$}. +\item Distortion bornée: \alert<2>{$\sigma^2 e^{-\gamma . R_h.P_{sh}^{}2/3} \leq D_h$}. +\item Puissance dissipée au n{\oe}ud $i$: +$$ +P_{si}+ P_{ti} + P_{ri}= +\alert<2>{P_{si}+ \sum_{l \in L}a_{il}^{+}.c^s_l.y_l + +\sum_{l \in L} a_{il}^{-}.c^r.y_l}. +$$ + +\end{itemize} + diff --git a/talk/formalisationenergie.tex~ b/talk/formalisationenergie.tex~ new file mode 100644 index 0000000..397f606 --- /dev/null +++ b/talk/formalisationenergie.tex~ @@ -0,0 +1,12 @@ +\begin{itemize} +\item Puissance d'encodage au n{\oe}ud $i$: $P_{si}$, \alert<2>{$P_{si} > 0$}. +\item Distorsion bornée: \alert<2>{$\sigma^2 e^{-\gamma . R_h.P_{sh}^{}2/3} \leq D_h$}. +\item Puissance dissipée au n{\oe}ud $i$: +$$ +P_{si}+ P_{ti} + P_{ri}= +\alert<2>{P_{si}+ \sum_{l \in L}a_{il}^{+}.c^s_l.y_l + +\sum_{l \in L} a_{il}^{-}.c^r.y_l}. +$$ + +\end{itemize} + diff --git a/talk/formalisationflux.tex b/talk/formalisationflux.tex new file mode 100644 index 0000000..4e20fd8 --- /dev/null +++ b/talk/formalisationflux.tex @@ -0,0 +1,32 @@ +%\vspace{-2em} +\begin{itemize} +\item Article publiée en 2009\footnote{Yifeng He; Lee, I.; Ling Guan, "Distributed Algorithms for Network Lifetime Maximization in Wireless Visual Sensor Networks," Circuits and Systems for Video Technology, IEEE Transactions on , vol.19, no.5, pp.704,718, May 2009} +\item Graphe orienté fort. connexe, +$a_{il} = +\left\{ + \begin{array}{rl} + 1 & \textrm{si $l=(i,\_)$ } \\ + -1 & \textrm{si $l=(\_,i)$} \\ + 0 & \textrm{sinon} + \end{array} + \right.$ +\item $V$ l'ensemble des capteurs vidéos de $N$. +\item Encodage de la vidéo au n{\oe}ud $h$ au taux $R_h$, \alert<2>{$R_h \geq 0$} \\ + $\leadsto$ Taux de production $\eta_{hi}$ du n{\oe}ud $i$ pour la session $h$ + $\eta_{hi} = +\left\{ + \begin{array}{rl} + R_h & \textrm{si $i$ est $h$} \\ + -R_h & \textrm{si $i$ est le puits} \\ + 0 & \textrm{sinon} + \end{array} + \right.$ +\item Flux de la session $h$ dans l'arc $l$: $x_{hl}$, \alert<2>{$x_{hl}\geq 0$} +\item Pour $y_l$ la somme des flux dans $l$: +\alert<2>{$\forall l \in L +\sum_{h \in V}x_{hl} = y_l$} +\item Conservation du flux: +\alert<2>{$\forall h \in V, \forall i \in N +\sum_{l \in L }a_{il}x_{hl} = \eta_{hi}$} +\end{itemize} + diff --git a/talk/formalisationflux.tex~ b/talk/formalisationflux.tex~ new file mode 100644 index 0000000..07fd5de --- /dev/null +++ b/talk/formalisationflux.tex~ @@ -0,0 +1,31 @@ +%\vspace{-2em} +\begin{itemize} +\item Graphe orienté fort. connexe, +$a_{il} = +\left\{ + \begin{array}{rl} + 1 & \textrm{si $l=(i,\_)$ } \\ + -1 & \textrm{si $l=(\_,i)$} \\ + 0 & \textrm{sinon} + \end{array} + \right.$ +\item $V$ l'ensemble des capteurs vidéos de $N$. +\item Encodage de la vidéo au n{\oe}ud $h$ au taux $R_h$, \alert<2>{$R_h>0$} \\ + $\leadsto$ Taux de production $\eta_{hi}$ du n{\oe}ud $i$ pour la session $h$ + $\eta_{hi} = +\left\{ + \begin{array}{rl} + R_h & \textrm{si $i$ est $h$} \\ + -R_h & \textrm{si $i$ est le puits} \\ + 0 & \textrm{sinon} + \end{array} + \right.$ +\item Flux de la session $h$ dans l'arc $l$: $x_{hl}$, \alert<2>{$x_{hl}>0$} +\item Pour $y_l$ la somme des flux dans $l$: +\alert<2>{$\forall l \in L +\sum_{h \in V}x_{hl} = y_l$} +\item Conservation du flux: +\alert<2>{$\forall h \in V, \forall i \in N +\sum_{l \in L }a_{il}x_{hl} = \eta_{hi}$} +\end{itemize} + diff --git a/talk/formalisationglobale.tex b/talk/formalisationglobale.tex new file mode 100644 index 0000000..1530578 --- /dev/null +++ b/talk/formalisationglobale.tex @@ -0,0 +1,18 @@ +\begin{itemize} +\item Trouver $R$, $x$, $P_s$ minimisant $q$ t.q. + +\item $\sum_{l \in L }a_{il}x_{hl} = \eta_{hi},\forall h \in V, \forall i \in N $ + +\item $ \sum_{h \in V}x_{hl} = y_l,\forall l \in L$ +\item $\dfrac{\ln(\sigma^2/D_h)}{\gamma.P_{sh}^{2/3}} \leq R_h \forall h \in V$ + +\item $P_{si}+ \sum_{l \in L}a_{il}^{+}.c^s_l.y_l + +\sum_{l \in L} a_{il}^{-}.c^r.y_l \leq q.B_i, \forall i \in N$ + +\item $x_{hl}\geq0, \forall h \in V, \forall l \in L$ + +\item $R_h \geq 0, \forall h \in V$ + +\item $P_{sh} > 0,\forall h \in V$ + +\end{itemize} diff --git a/talk/formalisationglobale.tex~ b/talk/formalisationglobale.tex~ new file mode 100644 index 0000000..0b97c95 --- /dev/null +++ b/talk/formalisationglobale.tex~ @@ -0,0 +1,15 @@ +$$ +\begin{array}{rl} + +$$ + + +\item Puissance d'encodage au n{\oe}ud $i$: $P_{si}$, \alert<2>{$P_{si} > 0$}. +\item Distorsion bornée: \alert<2>{$\sigma^2 e^{-\gamma . R_h.P_{sh}^{}2/3} \leq D_h$}. +\item Charge initiale du n{\oe}ud $i$: $B_i$ +\item Puissance dissipée au n{\oe}ud $i$: +$$ +P_{si}+ P_{ti} + P_{ri}= +\alert<2>{P_{si}+ \sum_{l \in L}a_{il}^{+}.c^s_l.y_l + +\sum_{l \in L} a_{il}^{-}.c^r.y_l \leq q.B_i}. +$$ diff --git a/talk/formalisationsimplifiee.tex b/talk/formalisationsimplifiee.tex new file mode 100644 index 0000000..4889d50 --- /dev/null +++ b/talk/formalisationsimplifiee.tex @@ -0,0 +1,21 @@ +\begin{itemize} +\item Trouver $R$, $x$, $P_s$, $q_i$ minimisant $\sum_{i \in N }q_i^2$ t.q. + +\item $\sum_{l \in L }a_{il}x_{hl} = \eta_{hi},\forall h \in V, \forall i \in N $ + +\item $\dfrac{\ln(\sigma^2/D_h)}{\gamma.P_{sh}^{2/3}} \leq R_h, \forall h \in V$ + +\item $P_{si}+ \sum_{l \in L}a_{il}^{+}.c^s_l.\left( \sum_{h \in V}x_{hl} \right) + +\sum_{l \in L} a_{il}^{-}.c^r.\left( \sum_{h \in V}x_{hl} \right) \leq q.B_i, \forall i \in N$ + +\item $\sum_{i \in N} a_{il}.q_i = 0 \forall l \in L$ + +\item $x_{hl}\geq0, \forall h \in V, \forall l \in L$ + +\item $R_h \geq 0, \forall h \in V$ + +\item $P_{sh} > 0,\forall h \in V$ + +\item $q_i > 0,\forall i \in N$ + +\end{itemize} diff --git a/talk/formalisationsimplifiee.tex~ b/talk/formalisationsimplifiee.tex~ new file mode 100644 index 0000000..5783373 --- /dev/null +++ b/talk/formalisationsimplifiee.tex~ @@ -0,0 +1,19 @@ +\begin{itemize} +\item Trouver $R$, $x$, $P_s$ minimisant $\sum_{i \in N }q_i^2$ t.q. + +\item $\sum_{l \in L }a_{il}x_{hl} = \eta_{hi},\forall h \in V, \forall i \in N $ + +\item $\dfrac{\ln(\sigma^2/D_h)}{\gamma.P_{sh}^{2/3}} \leq R_h \forall h \in V$ + +\item $P_{si}+ \sum_{l \in L}a_{il}^{+}.c^s_l.\left( \sum_{h \in V}x_{hl} \right) + +\sum_{l \in L} a_{il}^{-}.c^r.\left( \sum_{h \in V}x_{hl} \right) \leq q.B_i, \forall i \in N$ + +\item $\sum_{i \in N} a_{il}.q_i = 0 forall l \in L$ + +\item $x_{hl}\geq0, \forall h \in V, \forall l \in L$ + +\item $R_h \geq 0, \forall h \in V$ + +\item $P_{sh} > 0,\forall h \in V$ + +\end{itemize} diff --git 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+ +\item $q_i > 0,\forall i \in N$ + +\end{itemize} diff --git a/talk/interation2.tex b/talk/interation2.tex new file mode 100644 index 0000000..af326e2 --- /dev/null +++ b/talk/interation2.tex @@ -0,0 +1,45 @@ +\begin{enumerate} +\item +$q_i^{(k)} = \arg\min_{q_i>0} +\left( +q^2 + q. +\left( +\sum_{l \in L } a_{il}w_l^{(k)}- +\lambda_i^{(k)}B_i +\right) +\right)$ + +\item +$ +P_{sh}^{(k)} += +\arg \min_{p > 0} +\left( +v_h^{(k)}.\dfrac{\ln(\sigma^2/D_h)}{\gamma p ^{2/3}} + \lambda_h^{(k)}p +\right) +$ + +\item +$ +R_h^{(k)} += +\arg \min_{r \geq 0 } +\left( +\delta r^2 +-v_h^{(k)}.r - \sum_{i \in N} u_{hi}^{(k)} \eta_{hi} +\right) +$ +\item +$ +x_{hl}^{(k)} = +\arg \min_{x \geq 0} +\left( +\delta.x^2 + x. +\sum_{i \in N} \left( +\lambda_{i}^{(k)}.(c^s_l.a_{il}^{+} + +c^r. a_{il}^{-} )+ + u_{hi}^{(k)} a_{il} +\right) +\right) + $ +\end{enumerate} diff --git a/talk/interation2.tex~ b/talk/interation2.tex~ new file mode 100644 index 0000000..863d0c5 --- /dev/null +++ b/talk/interation2.tex~ @@ -0,0 +1,24 @@ +Trouver $R$, $x$, $P_s$, $q_i$ minimisant +$$ +\begin{array}{l} + L(R,x,P_s,q,u,v,\lambda,w)= \\ + \sum_{i \in N }q_i^2 + \sum_{h \in V, l \in L }\delta.x_{hl}^2 ++ \sum_{h \in V }\delta.R_{h}^2 \\ ++ \sum_{h \in V }\sum_{i \in N } u_{hi} \left(\sum_{l \in L }a_{il}x_{hl} - \eta_{hi}\right) \\ ++ \sum_{h \in V}v_{h}.\left( \dfrac{\ln(\sigma^2/D_h)}{\gamma.P_{sh}^{2/3}} - R_h \right) \\ ++ \sum_{i \in N} \lambda_{i}. \left( P_{si}+ \sum_{l \in L}a_{il}^{+}.c^s_l.\left( \sum_{h \in V}x_{hl} \right) \right. +\\ +\qquad \qquad \qquad + \left. \sum_{l \in L} a_{il}^{-}.c^r.\left( \sum_{h \in V}x_{hl} \right) - q.B_i \right) \\ ++ \sum_{l \in L} w_l. \left( \sum_{i \in N} a_{il}.q_i \right) +\end{array} +$$ +\begin{itemize} +\item $x_{hl}\geq0, \forall h \in V, \forall l \in L$ + +\item $R_h \geq 0, \forall h \in V$ + +\item $P_{sh} > 0,\forall h \in V$ + +\item $q_i > 0,\forall i \in N$ + +\end{itemize} diff --git 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+\alert{$ \leadsto$ $v_{h}$} +\item $P_{si}+ \sum_{l \in L}a_{il}^{+}.c^s_l.\left( \sum_{h \in V}x_{hl} \right) + +\sum_{l \in L} a_{il}^{-}.c^r.\left( \sum_{h \in V}x_{hl} \right) \leq q.B_i, \forall i \in N$ +\alert{$ \leadsto$ $\lambda_{i}$} + +\item $\sum_{i \in N} a_{il}.q_i = 0 \forall l \in L$ +\alert{$ \leadsto$ $w_{l}$} + + +\item $x_{hl}\geq0, \forall h \in V, \forall l \in L$ + +\item $R_h \geq 0, \forall h \in V$ + +\item $P_{sh} > 0,\forall h \in V$ + +\item $q_i > 0,\forall i \in N$ + +\end{itemize} diff --git a/talk/lagrange.tex~ b/talk/lagrange.tex~ new file mode 100644 index 0000000..f1b8aa4 --- /dev/null +++ b/talk/lagrange.tex~ @@ -0,0 +1,25 @@ +\begin{itemize} +\item Trouver $R$, $x$, $P_s$, $q_i$ minimisant $\sum_{i \in N }q_i^2$ t.q. + +\item $\sum_{l \in L }a_{il}x_{hl} = \eta_{hi},\forall h \in V, \forall i \in N$ +\alert{$ \leadsto$ $u_{hi}$} + +\item $\dfrac{\ln(\sigma^2/D_h)}{\gamma.P_{sh}^{2/3}} \leq R_h, \forall h \in V$ +\alert{$ \leadsto$ $v_{h}$} +\item $P_{si}+ \sum_{l \in L}a_{il}^{+}.c^s_l.\left( \sum_{h \in V}x_{hl} \right) + +\sum_{l \in L} a_{il}^{-}.c^r.\left( \sum_{h \in V}x_{hl} \right) \leq q.B_i, \forall i \in N$ +\alert{$ \leadsto$ $\lambda_{i}$} + +\item $\sum_{i \in N} a_{il}.q_i = 0 \forall l \in L$ +\alert{$ \leadsto$ $w_{l}$ + + +\item $x_{hl}\geq0, \forall h \in V, \forall l \in L$ + +\item $R_h \geq 0, \forall h \in V$ + +\item $P_{sh} > 0,\forall h \in V$ + +\item $q_i > 0,\forall i \in N$ + +\end{itemize} diff --git a/talk/lagrangeoperateur.tex b/talk/lagrangeoperateur.tex new file mode 100644 index 0000000..dfe1aa2 --- /dev/null +++ b/talk/lagrangeoperateur.tex @@ -0,0 +1,24 @@ +Trouver $R$, $x$, $P_s$, $q_i$ minimisant +$$ +\begin{array}{l} + L(R,x,P_s,q,u,v,\lambda,w)= \\ + \sum_{i \in N }q_i^2 + \alert<2>{\sum_{h \in V, l \in L } \delta.x_{hl}^2} ++ \alert<2>{\sum_{h \in V }\delta.R_{h}^2} \\ ++ \sum_{h \in V }\sum_{i \in N } u_{hi} \left(\sum_{l \in L }a_{il}x_{hl} - \eta_{hi}\right) \\ ++ \sum_{h \in V}v_{h}.\left( \dfrac{\ln(\sigma^2/D_h)}{\gamma.P_{sh}^{2/3}} - R_h \right) \\ ++ \sum_{i \in N} \lambda_{i}. \left( P_{si}+ \sum_{l \in L}a_{il}^{+}.c^s_l.\left( \sum_{h \in V}x_{hl} \right) \right. +\\ +\qquad \qquad \qquad + \left. \sum_{l \in L} a_{il}^{-}.c^r.\left( \sum_{h \in V}x_{hl} \right) - q.B_i \right) \\ ++ \sum_{l \in L} w_l. \left( \sum_{i \in N} a_{il}.q_i \right) +\end{array} +$$ +\begin{itemize} +\item $x_{hl}\geq0, \forall h \in V, \forall l \in L$ + +\item $R_h \geq 0, \forall h \in V$ + +\item $P_{sh} > 0,\forall h \in V$ + +\item $q_i > 0,\forall i \in N$ + +\end{itemize} diff --git a/talk/lagrangeoperateur.tex~ b/talk/lagrangeoperateur.tex~ new file mode 100644 index 0000000..863d0c5 --- /dev/null +++ b/talk/lagrangeoperateur.tex~ @@ -0,0 +1,24 @@ +Trouver $R$, $x$, $P_s$, $q_i$ minimisant +$$ +\begin{array}{l} + L(R,x,P_s,q,u,v,\lambda,w)= \\ + \sum_{i \in N }q_i^2 + \sum_{h \in V, l \in L }\delta.x_{hl}^2 ++ \sum_{h \in V }\delta.R_{h}^2 \\ ++ \sum_{h \in V 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{\def \inserttotalframenumber {22}} diff --git a/talk/main.out b/talk/main.out new file mode 100644 index 0000000..2014078 --- /dev/null +++ b/talk/main.out @@ -0,0 +1,6 @@ +\BOOKMARK [2][]{Outline0.1}{Introduction}{}% 1 +\BOOKMARK [2][]{Outline0.2}{Preliminaries}{}% 2 +\BOOKMARK [2][]{Outline0.3}{Generation of DSSC Matrices}{}% 3 +\BOOKMARK [2][]{Outline0.4}{On Removing Hamiltonian Cycles}{}% 4 +\BOOKMARK [2][]{Outline0.5}{Experiments}{}% 5 +\BOOKMARK [2][]{Outline0.6}{Conclusion}{}% 6 diff --git a/talk/main.snm b/talk/main.snm new file mode 100644 index 0000000..e69de29 diff --git a/talk/main.tex b/talk/main.tex new file mode 100644 index 0000000..95837ab --- /dev/null +++ b/talk/main.tex @@ -0,0 +1,132 @@ +\documentclass{beamer} +\usepackage{beamerthemefemto} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{amsfonts,amsmath,amssymb,stmaryrd,dsfont} +\usepackage[english]{babel} +\usepackage{algorithm2e} +\usepackage{alltt} +\usepackage[font=footnotesize]{subfig} +%\usepackage[amsmath,thmmarks,thref,framed]{ntheorem} + + + + +%\theoremstyle{plain} +%\theoremsymbol{\ensuremath{\clubsuit}} +%\theoremseparator{.} +%\theoremprework{\hrulefill} +%\theorempostwork{\hrulefill\newline} +%\renewtheorem{theorem}[theorem]{Théorème} + + + +\newcommand{\inputFrameb}[2]{ +\frame{ +\frametitle{#1} +\begin{small} +\input{#2} +\end{small} +}} + +\newcommand{\Nats}[0]{\ensuremath{\mathds{N}}} +\newcommand{\Z}[0]{\ensuremath{\mathbb{Z}}} +\newcommand{\R}[0]{\ensuremath{\mathds{R}}} +\newcommand{\Bool}[0]{\ensuremath{\mathds{B}}} +\newcommand{\StratSet}[0]{\ensuremath{\mathbb{S}}} + + +\newcommand{\fc}[1]{\ensuremath{\overline{#1}}} +%\renewcommand\footnotelayout{\tiny} +\let\oldfootnotesize\footnotesize +\renewcommand*{\footnotesize}{\oldfootnotesize\scriptsize} + +\usepackage{graphicx} +\DeclareGraphicsExtensions{.jpg, .png , .pdf, .bmp, .pdftex} + + +\title[Traversing a $n$-cube for PRNGs] +{Traversing a $n$-cube without Balanced Hamiltonian Cycle \\ + to Generate Pseudorandom Numbers} + + +\author[couchot@femto-st.fr]{J.-F. Couchot, P.-C. Heam, C. Guyeux, Q. Wang, and J. M. Bahi} + + + +\institute[Institut FEMTO-ST/Guangdong University of Technology]{FEMTO-ST Institute, University of Franche-Comt\'{e}, France\\ +College of Automation, Guangdong University of Technology, China} + + +\date[jm2014]{2014/09/25} + +% ____ _____ ____ _ _ _____ +% | _ \| ____| __ )| | | |_ _| +% | | | | _| | _ \| | | | | | +% | |_| | |___| |_) | |_| | | | +% |____/|_____|____/ \___/ |_| +% + +%\newcommand{\Bool}[0]{\ensuremath{\mathds{B}}} + +\begin{document} +\setbeamertemplate{background}{\titrefemto} + +\begin{frame}[plain] +\titlepage +\end{frame} + +\setbeamertemplate{background}{\pagefemto} + +% \begin{frame}{Outline} +\setbeamertemplate{section in toc}[sections numbered] +% \tableofcontents +% \end{frame} + + + +\section{Introduction} +\inputFrameb{Pseudo Random Number Generation}{prng} +\inputFrameb{Chaotic PRNG}{chaoticprng} +\inputFrameb{Problematic}{problematic} +\frame{\frametitle{Outline}\tableofcontents[hideallsubsections]} + +\section{Preliminaries} +\frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{Boolean Map}{booleanMap} +\inputFrameb{Iteration Graph and Markov Matrix}{markov} +\inputFrameb{Iteration Graph and Markov Matrix (cont'd)}{markov2} +\inputFrameb{Our PRNG}{mx} + +\section{Generation of DSSC Matrices} +\frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{A typical CLPFD}{dsscintuition} +\inputFrameb{A typical CLPFD (cont'd)}{dsscintuition2} + + +\section{On Removing Hamiltonian Cycles} +\frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{Theoretical Aspects}{rhctheory} +\inputFrameb{Cyclic Balanced Gray Codes}{rhcgraycodes} +\inputFrameb{Generation of Balanced Gray Codes}{rhcgraycodesgen} + +\section{Experiments} +\frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{Experiments}{expcontext} + +\section{Conclusion} +\frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{Conclusion \& Future Work}{conclusion} +\inputFrameb{Thanks}{thanks} + + +% \section{Conclusion et perspectives} +% \frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} + +\end{document} +% _____ ___ _ _ +% | ___|_ _| \ | | +% | |_ | || \| | +% | _| | || |\ | +% |_| |___|_| \_| +% diff --git a/talk/main.tex.bak b/talk/main.tex.bak new file mode 100644 index 0000000..1b4b24b --- /dev/null +++ b/talk/main.tex.bak @@ -0,0 +1,113 @@ +\documentclass{beamer} +\usepackage{beamerthemefemto} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{amsfonts,amsmath,amssymb,stmaryrd,dsfont} +\usepackage[french]{babel} +\usepackage{algorithm2e} +\usepackage{alltt} +%\usepackage[amsmath,thmmarks,thref,framed]{ntheorem} + + + + +%\theoremstyle{plain} +%\theoremsymbol{\ensuremath{\clubsuit}} +%\theoremseparator{.} +%\theoremprework{\hrulefill} +%\theorempostwork{\hrulefill\newline} +%\renewtheorem{theorem}[theorem]{Théorème} + + + +\newcommand{\inputFrameb}[2]{ +\frame{ +\frametitle{#1} +%\begin{small} +\input{#2} +%\end{small} +}} + +\newcommand{\Nats}[0]{\ensuremath{\mathds{N}}} +\newcommand{\Z}[0]{\ensuremath{\mathbb{Z}}} +\newcommand{\R}[0]{\ensuremath{\mathds{R}}} +\newcommand{\Bool}[0]{\ensuremath{\mathds{B}}} +\newcommand{\StratSet}[0]{\ensuremath{\mathbb{S}}} + + +\newcommand{\fc}[1]{\ensuremath{\overline{#1}}} +%\renewcommand\footnotelayout{\tiny} +\let\oldfootnotesize\footnotesize +\renewcommand*{\footnotesize}{\oldfootnotesize\scriptsize} + +\usepackage{graphicx} +\DeclareGraphicsExtensions{.jpg, .png , .pdf, .bmp, .pdftex} + + +\title[durée de vie d'un réseau de capteurs vidéos]{Optimisation de la durée de vie d'un réseau de capteurs vidéos} + +\author[couchot@femto-st.fr]{Jean-Fran\c{c}ois {\sc Couchot}, Ahmed \sc{Mostefaoui}} + +\institute[Institut FEMTO-ST]{\textit{Institut FEMTO-ST - Département DISC- Équipe AND}} + +\date[AMTECH'13]{31 Mai 2013} + +% ____ _____ ____ _ _ _____ +% | _ \| ____| __ )| | | |_ _| +% | | | | _| | _ \| | | | | | +% | |_| | |___| |_) | |_| | | | +% |____/|_____|____/ \___/ |_| +% + +%\newcommand{\Bool}[0]{\ensuremath{\mathds{B}}} + +\begin{document} +\setbeamertemplate{background}{\titrefemto} + +\begin{frame}[plain] +\titlepage +\end{frame} + +\setbeamertemplate{background}{\pagefemto} + +% \begin{frame}{Plan} +\setbeamertemplate{section in toc}[sections numbered] +% \tableofcontents +% \end{frame} + +\frame{\frametitle{Plan}\tableofcontents[hideallsubsections]} + +\section{Problématique générale} +\frame{\frametitle{Plan}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{Contexte: réseau de capteurs vidéos}{cv} +\inputFrameb{Formalisation: réseau et flux}{formalisationflux} +\inputFrameb{Formalisation: énergie}{formalisationenergie} +\inputFrameb{Formulation globale}{formalisationglobale} +\inputFrameb{Formulation simplifiée}{formalisationsimplifiee} + +\section{Démarche d'optimisation} +\frame{\frametitle{Plan}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{Multiplicateurs de Lagrange}{lagrange} +\inputFrameb{Opérateur de Lagrange}{lagrangeoperateur} +\inputFrameb{Approche itérative: variables duales}{interation1.tex} +\inputFrameb{Approche itérative: variables primaires}{interation2.tex} + + +\section{Travaux en cours} +\frame{\frametitle{Plan}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{Analyse des résultats}{rem0.tex} +\inputFrameb{Approche itérative: quelques remarques}{rem1.tex} +\inputFrameb{Approche itérative assynchrone}{assync.tex} +\inputFrameb{Merci}{merci.tex} + + +% \section{Conclusion et perspectives} +% \frame{\frametitle{Plan}\tableofcontents[currentsection,hideallsubsections]} + +\end{document} +% _____ ___ _ _ +% | ___|_ _| \ | | +% | |_ | || \| | +% | _| | || |\ | +% |_| |___|_| \_| +% diff --git a/talk/main.tex~ b/talk/main.tex~ new file mode 100644 index 0000000..8adc0cf --- /dev/null +++ b/talk/main.tex~ @@ -0,0 +1,133 @@ +\documentclass[handout]{beamer} +\usepackage{beamerthemefemto} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{amsfonts,amsmath,amssymb,stmaryrd,dsfont} +\usepackage[french]{babel} +\usepackage{algorithm2e} +\usepackage{alltt} +\usepackage[font=footnotesize]{subfig} +%\usepackage[amsmath,thmmarks,thref,framed]{ntheorem} + + + + +%\theoremstyle{plain} +%\theoremsymbol{\ensuremath{\clubsuit}} +%\theoremseparator{.} +%\theoremprework{\hrulefill} +%\theorempostwork{\hrulefill\newline} +%\renewtheorem{theorem}[theorem]{Théorème} + + + +\newcommand{\inputFrameb}[2]{ +\frame{ +\frametitle{#1} +\begin{small} +\input{#2} +\end{small} +}} + +\newcommand{\Nats}[0]{\ensuremath{\mathds{N}}} +\newcommand{\Z}[0]{\ensuremath{\mathbb{Z}}} +\newcommand{\R}[0]{\ensuremath{\mathds{R}}} +\newcommand{\Bool}[0]{\ensuremath{\mathds{B}}} +\newcommand{\StratSet}[0]{\ensuremath{\mathbb{S}}} + + +\newcommand{\fc}[1]{\ensuremath{\overline{#1}}} +%\renewcommand\footnotelayout{\tiny} +\let\oldfootnotesize\footnotesize +\renewcommand*{\footnotesize}{\oldfootnotesize\scriptsize} + +\usepackage{graphicx} +\DeclareGraphicsExtensions{.jpg, .png , .pdf, .bmp, .pdftex} + + +\title[Traversing a $n$-cube for PRNGs] +{Traversing a $n$-cube without Balanced Hamiltonian Cycle \\ + to Generate Pseudorandom Numbers} + + +\author[couchot@femto-st.fr]{J.-F. Couchot, P.-C. Heam, C. Guyeux, Q. Wang, and J. M. Bahi} + + + +\institute[Institut FEMTO-ST/Guangdong University of Technology]{ +FEMTO-ST Institute, University of Franche-Comt\'{e}, France\\ +College of Automation, Guangdong University of Technology, China} + + +\date[]{} + +% ____ _____ ____ _ _ _____ +% | _ \| ____| __ )| | | |_ _| +% | | | | _| | _ \| | | | | | +% | |_| | |___| |_) | |_| | | | +% |____/|_____|____/ \___/ |_| +% + +%\newcommand{\Bool}[0]{\ensuremath{\mathds{B}}} + +\begin{document} +\setbeamertemplate{background}{\titrefemto} + +\begin{frame}[plain] +\titlepage +\end{frame} + +\setbeamertemplate{background}{\pagefemto} + +% \begin{frame}{Outline} +\setbeamertemplate{section in toc}[sections numbered] +% \tableofcontents +% \end{frame} + + + +\section{Introduction} +\inputFrameb{Pseudo Random Number Generation}{prng} +\inputFrameb{Chaotic PRNG}{chaoticprng} +\inputFrameb{Problematic}{problematic} +\frame{\frametitle{Outline}\tableofcontents[hideallsubsections]} + +\section{Preliminaries} +\frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{Boolean Map}{booleanMap} +\inputFrameb{Iteration Graph and Markov Matrix}{markov} +\inputFrameb{Iteration Graph and Markov Matrix (cont'd)}{markov2} +\inputFrameb{Our PRNG}{mx} + +\section{Generation of DSSC Matrices} +\frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{A typical CLPFD}{dsscintuition} +\inputFrameb{A typical CLPFD (cont'd)}{dsscintuition2} + + +\section{On Removing Hamiltonian Cycles} +\frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{Theoretical Aspects}{rhctheory} +\inputFrameb{Cyclic Balanced Gray Codes}{rhcgraycodes} +\inputFrameb{Generation of Balanced Gray Codes}{rhcgraycodesgen} + +\section{Experiments} +\frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{Experiments}{expcontext} + +\section{Conclusion} +\frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} +\inputFrameb{Conclusion \& Future Work}{conclusion} +\inputFrameb{Thanks}{thanks} + + +% \section{Conclusion et perspectives} +% \frame{\frametitle{Outline}\tableofcontents[currentsection,hideallsubsections]} + +\end{document} +% _____ ___ _ _ +% | ___|_ _| \ | | +% | |_ | || \| | +% | _| | || |\ | +% |_| |___|_| \_| +% diff --git a/talk/main.thm b/talk/main.thm new file mode 100644 index 0000000..e69de29 diff --git a/talk/main.toc b/talk/main.toc new file mode 100644 index 0000000..bf7f141 --- /dev/null +++ b/talk/main.toc @@ -0,0 +1,8 @@ +\beamer@endinputifotherversion {3.24pt} +\select@language {english} +\beamer@sectionintoc {1}{Introduction}{2}{0}{1} +\beamer@sectionintoc {2}{Preliminaries}{7}{0}{2} +\beamer@sectionintoc {3}{Generation of DSSC Matrices}{12}{0}{3} +\beamer@sectionintoc {4}{On Removing Hamiltonian Cycles}{16}{0}{4} +\beamer@sectionintoc {5}{Experiments}{20}{0}{5} +\beamer@sectionintoc {6}{Conclusion}{22}{0}{6} diff --git a/talk/markov.tex b/talk/markov.tex new file mode 100644 index 0000000..2efe281 --- /dev/null +++ b/talk/markov.tex @@ -0,0 +1,21 @@ +\begin{block}{Iteration Graph} +The {\emph{iteration graph}} $\Gamma(f)$: +directed graph s. t. +\begin{itemize} +\item the set of vertices: $\Bool^n$ +\item the set of edges: $(x,F_f(i,x)) \in \Gamma(f)$, $x\in\Bool^n$, +$i\in \llbracket1;n\rrbracket$ +\end{itemize} +\end{block} + +\begin{block}{Markov Matrix} +Matrix $M$: +\[ +\begin{array}{l} +M_{ij} = \frac{1}{n} \textrm{ if $i \neq j$ and $(i,j) \in \Gamma(f)$} \\ +M_{ij} = 0 \textrm{ if $i \neq j$ and $(i,j) \not \in \Gamma(f)$} \\ +M_{ii} = 1 - \sum\limits_{j=1, j\neq i}^n M_{ij} +\end{array} +\] +\end{block} + diff --git a/talk/markov.tex~ b/talk/markov.tex~ new file mode 100644 index 0000000..cd98232 --- /dev/null +++ b/talk/markov.tex~ @@ -0,0 +1,57 @@ +\begin{block}{Iteration Graph} +The {\emph{iteration graph}} $\Gamma(f)$: +directed graph s. t. +\begin{itemize} +\item the set of vertices: $\Bool^n$ +\item the set of edges: $(x,F_f(i,x)) \in \Gamma(f)$, $x\in\Bool^n$, +$i\in \llbracket1;n\rrbracket$ +\end{itemize} +\end{block} + +\begin{block}{Markov Matrix} +Matrix $M$: +\[ +\begin{array}{l} +M_{ij} = \frac{1}{n} \textrm{ if $i \neq j$ and $(i,j) \in \Gamma(f)$} \\ +M_{ij} = 0 \textrm{ if $i \neq j$ and $(i,j) \not \in \Gamma(f)$} \\ +M_{ii} = 1 - \sum\limits_{j=1, j\neq i}^n M_{ij} +\end{array} +\] +\end{block} + +\begin{exampleblock}{$g(x_1,x_2)=(\overline{x_1},x_1\overline{x_2})$, $h(x_1,x_2)=(\overline{x_1},x_1\overline{x_2}+\overline{x_1}x_2)$} +\vspace{-1em} +\begin{figure}%[t] + \subfloat[$\Gamma(g)$, $M_g$]{ + \begin{minipage}{0.11\textwidth} + \includegraphics[scale=0.4]{g.pdf} + \end{minipage} + \begin{minipage}{0.25\textwidth} + $\dfrac{1}{2}\left( + \begin{array}{c} + 1 0 1 0 \\ + 1 0 0 1 \\ + 1 0 0 1 \\ + 0 1 1 0 + \end{array} + \right)$ + \end{minipage} + } + \subfloat[$\Gamma(h)$, $M_h$]{ + \begin{minipage}{0.10\textwidth} + \includegraphics[scale=0.4]{h.pdf} + \end{minipage} + \begin{minipage}{0.25\textwidth} + $\dfrac{1}{2}\left( + \begin{array}{c} + 1 0 1 0 \\ + 0 1 0 1 \\ + 1 0 0 1 \\ + 0 1 1 0 + \end{array} + \right) + $ + \end{minipage} + } +\end{figure} +\end{exampleblock} diff --git a/talk/markov2.tex b/talk/markov2.tex new file mode 100644 index 0000000..b71f8e8 --- /dev/null +++ b/talk/markov2.tex @@ -0,0 +1,36 @@ +\begin{exampleblock}{$g(x_1,x_2)=(\overline{x_1},x_1\overline{x_2})$, $h(x_1,x_2)=(\overline{x_1},x_1\overline{x_2}+\overline{x_1}x_2)$} +\vspace{-1em} +\begin{figure}%[t] + \subfloat[$\Gamma(g)$, $M_g$]{ + \begin{minipage}{0.11\textwidth} + \includegraphics[scale=0.4]{g.pdf} + \end{minipage} + \begin{minipage}{0.38\textwidth} + $\dfrac{1}{2}\left( + \begin{array}{cccc} + 1 &0 &1 & 0 \\ + 1 &0 &0 & 1 \\ + 1 &0 &0 & 1 \\ + 0 &1 &1 & 0 + \end{array} + \right)$ + \end{minipage} + } + \subfloat[$\Gamma(h)$, $M_h$]{ + \begin{minipage}{0.10\textwidth} + \includegraphics[scale=0.4]{h.pdf} + \end{minipage} + \begin{minipage}{0.25\textwidth} + $\dfrac{1}{2}\left( + \begin{array}{cccc} + 1 &0 & 1& 0 \\ + 0 &1 & 0& 1 \\ + 1 &0 & 0& 1 \\ + 0 &1 & 1& 0 + \end{array} + \right) + $ + \end{minipage} + } +\end{figure} +\end{exampleblock} diff --git a/talk/markov2.tex~ b/talk/markov2.tex~ new file mode 100644 index 0000000..d36002f --- /dev/null +++ b/talk/markov2.tex~ @@ -0,0 +1,36 @@ +\begin{exampleblock}{$g(x_1,x_2)=(\overline{x_1},x_1\overline{x_2})$, $h(x_1,x_2)=(\overline{x_1},x_1\overline{x_2}+\overline{x_1}x_2)$} +\vspace{-1em} +\begin{figure}%[t] + \subfloat[$\Gamma(g)$, $M_g$]{ + \begin{minipage}{0.11\textwidth} + \includegraphics[scale=0.4]{g.pdf} + \end{minipage} + \begin{minipage}{0.25\textwidth} + $\dfrac{1}{2}\left( + \begin{array}{c} + 1 0 1 0 \\ + 1 0 0 1 \\ + 1 0 0 1 \\ + 0 1 1 0 + \end{array} + \right)$ + \end{minipage} + } + \subfloat[$\Gamma(h)$, $M_h$]{ + \begin{minipage}{0.10\textwidth} + \includegraphics[scale=0.4]{h.pdf} + \end{minipage} + \begin{minipage}{0.25\textwidth} + $\dfrac{1}{2}\left( + \begin{array}{c} + 1 0 1 0 \\ + 0 1 0 1 \\ + 1 0 0 1 \\ + 0 1 1 0 + \end{array} + \right) + $ + \end{minipage} + } +\end{figure} +\end{exampleblock} diff --git a/talk/merci.tex b/talk/merci.tex new file mode 100644 index 0000000..0519ecb --- /dev/null +++ b/talk/merci.tex @@ -0,0 +1 @@ + \ No newline at end of file diff --git a/talk/mx.tex b/talk/mx.tex new file mode 100644 index 0000000..55428d9 --- /dev/null +++ b/talk/mx.tex @@ -0,0 +1,28 @@ + +\begin{block}{Mixing Time} +The smallest iteration number that is sufficient to obtain +a deviation lesser $\varepsilon$ between rows of $M$ and a given distribution. +\end{block} + +\begin{block}{PRNG $\chi_{\textit{14Secrypt}}$} +\begin{algorithm}[H] +\begin{scriptsize} +\KwIn{a function $f$, an iteration number $b$, a \textit{Random} PRNG, an initial configuration $x^0$ ($n$ bits)} +\KwOut{a configuration $x$ ($n$ bits)} +$x\leftarrow x^0$\; +\For{$i=0,\dots,b-1$} +{ +$s\leftarrow{\textit{Random}(n)}$\; +$x\leftarrow{F_f(s,x)}$\; +} +return $x$\; +\end{scriptsize} +\end{algorithm} +\begin{itemize} +\item From $x^0$: a random walk in $\Gamma(f)$ thanks to \textit{Random} + of length $b$ +\end{itemize} +\end{block} + + + diff --git a/talk/mx.tex~ b/talk/mx.tex~ new file mode 100644 index 0000000..734cb8e --- /dev/null +++ b/talk/mx.tex~ @@ -0,0 +1,30 @@ + +\begin{block}{Mixing Time} +The smallest iteration number that is sufficient to obtain +a deviation lesser $\varepsilon$ between rows of $M$ and a given distribution. +\end{block} + +\begin{block}{PRNG $\chi_{\textit{14Secrypt}}$} +\begin{itemize} +\item Imputs: $f$, $b$, $x^0$, a \textit{Random} PRNG +\begin{algorithm}[H] +\begin{scriptsize} +\KwIn{a function $f$, an iteration number $b$, an initial configuration $x^0$ ($n$ bits)} +\KwOut{a configuration $x$ ($n$ bits)} +$x\leftarrow x^0$\; +\For{$i=0,\dots,b-1$} +{ +$s\leftarrow{\textit{Random}(n)}$\; +$x\leftarrow{F_f(s,x)}$\; +} +return $x$\; +\end{scriptsize} +\end{algorithm} + +\item From $x^0$: a random walk in $\Gamma(f)$ thanks to \textit{Random} + of length $b$ +\end{itemize} +\end{block} + + + diff --git a/talk/pbprng.tex.bak b/talk/pbprng.tex.bak new file mode 100644 index 0000000..058a792 --- /dev/null +++ b/talk/pbprng.tex.bak @@ -0,0 +1,28 @@ +\vspace{-1em} +\begin{scriptsize} +\begin{alltt} +111000100100000100010101100001010001110011100000 +010000010001101011001010001101110000111101111010 +100111111001110111001001110011010100100011111000 +100000000111111010110111000111101000101111011010 +\end{alltt} +\end{scriptsize} +\vspace{-1em} +\begin{itemize} +\item PRNG: algorithme déterministe de + génération de nombres suivant certaines propriétés de hasard +\item Utilisation en technologies mobiles: +\begin{itemize} +\item Clefs d'échange sur le réseau (WEP, HTTPS, chiffrement) +\item Mesure de distances (GPS) +\end{itemize} +\item Devrait être cryptographiquement sécurisé: +\begin{itemize} +\item Passer avec succes des tests statistiques (NIST, U01,\ldots) +\item Pour une séquence aléatoire donnée de $k$ bits: + aucun algorithme en temps polynomial + pouvant prédire le $k+1$ème avec une probabilité supérieure à 50\% +\item Connaître l'état $s$ de l'algorithme ne permet pas + de reconstruire les nombres aléatoires générés jusqu'à $s$. +\end{itemize} +\end{itemize} diff --git a/talk/prng.tex b/talk/prng.tex new file mode 100644 index 0000000..74ff44c --- /dev/null +++ b/talk/prng.tex @@ -0,0 +1,26 @@ +\vspace{-1.5em} +\begin{itemize} +\item Fields of Applications: +\vspace{-0.5em} +\begin{itemize} +\item Security: hash function, steganography, cryptography +\item Time Synchronization: GPS +\item Numerical simulations: Monte-Carlo algorithms +\item<2->\alert{Simulation of Chaotic systems: protein dynamics e.g.} +\end{itemize} +\item Some requirements: +\vspace{-0.5em} +\begin{itemize} +%\item Reproducibility: same seed $\leadsto$ same stream +\item For cryptography: cryptographically secure +\item Successful pass on PRNG batteries of tests: +NIST\footnote{E.~Barker and A.~Roginsky. +\newblock Draft {N}{I}{S}{T} special publication 800-131 recommendation for the + transitioning of cryptographic algorithms and key sizes, 2010.}, +DieHARD\footnote{G.~Marsaglia. +\newblock DieHARD: a battery of tests of randomness. +\newblock {\em http://stat.fsu.edu/~geo/diehard.html}, 1996} +\item<2-> \alert{Should have chaotic properties } +\end{itemize} +\end{itemize} + diff --git a/talk/prng.tex.bak b/talk/prng.tex.bak new file mode 100644 index 0000000..ecaf063 --- /dev/null +++ b/talk/prng.tex.bak @@ -0,0 +1,22 @@ +\begin{itemize} +\item Fields of Applications: +\begin{itemize} +\item Security: hash function, steganography, stream cipher +\item Time Synchronization: GPS +\item Numerical simulations: Monte-Carlo algorithms +\item<2->Simulation of Chaotic systems: double pendulum, protein dynamics +\end{itemize} +\item Practical requirements: +\begin{itemize} +\item Reproducibility: same seed $\leadsto$ same stream +\item Successfull pass on PRNG batteries of tests: +the NIST \footnote{E.~Barker and A.~Roginsky. +\newblock Draft {N}{I}{S}{T} special publication 800-131 recommendation for the + transitioning of cryptographic algorithms and key sizes, 2010.}, +and DieHARD~\footnote{G.~Marsaglia. +\newblock Diehard: a battery of tests of randomness. +\newblock {\em http://stat.fsu.edu/~geo/diehard.html}, 1996} +\item<2-> Should have chaotic properties if needed +\end{itemize} +\end{itemize} + diff --git a/talk/prng.tex~ b/talk/prng.tex~ new file mode 100644 index 0000000..59fb060 --- /dev/null +++ b/talk/prng.tex~ @@ -0,0 +1,22 @@ +\begin{itemize} +\item Fields of Applications: +\begin{itemize} +\item Security: hash function, steganography, stream cipher +\item Time Synchronization: GPS +\item Numerical simulations: Monte-Carlo algorithms +\item<2->\alert{Simulation of Chaotic systems: protein dynamics e.g.} +\end{itemize} +\item Requirements: +\begin{itemize} +\item Reproducibility: same seed $\leadsto$ same stream +\item Successful pass on PRNG batteries of tests: +NIST\footnote{E.~Barker and A.~Roginsky. +\newblock Draft {N}{I}{S}{T} special publication 800-131 recommendation for the + transitioning of cryptographic algorithms and key sizes, 2010.}, +DieHARD\footnote{G.~Marsaglia. +\newblock DieHARD: a battery of tests of randomness. +\newblock {\em http://stat.fsu.edu/~geo/diehard.html}, 1996} +\item<2-> \alert{Should have chaotic properties } +\end{itemize} +\end{itemize} + diff --git a/talk/problematic.tex b/talk/problematic.tex new file mode 100644 index 0000000..1d6bd60 --- /dev/null +++ b/talk/problematic.tex @@ -0,0 +1,16 @@ +\begin{block}{A (coarse) two steps approach} +\begin{enumerate} +\item Sufficient conditions to retrieve Boolean maps whose graphs are +strongly connected are given +\item Further filter those whose Markov matrix is doubly stochastic +\end{enumerate} +\end{block} +\begin{block}{Drawback} +Delaying the second requirement to a final step whereas this is a necessary condition +\end{block} + +\begin{block}{Content of this work} +A completely new approach to generate Boolean functions, whose Markov matrix +is doubly stochastic and whose graph of iterations is strongly connected +(\alert{denoted as DSSC Matrix}) +\end{block} diff --git a/talk/problematic.tex~ b/talk/problematic.tex~ new file mode 100644 index 0000000..2e5ef70 --- /dev/null +++ b/talk/problematic.tex~ @@ -0,0 +1,16 @@ +\begin{block}{A (coarse) two steps approach} +\begin{enumerate} +\item Sufficient conditions to retrieve Boolean maps whose graphs are +strongly connected are given +\item Further filter those whose Markov matrix is doubly stochastic +\end{enumerate} +\end{block} +\begin{block}{Drawback} +Delaying the second requirement to a final step whereas this is a necessary condition +\end{block} + +\begin{block}{Content of this work} +A completely new approach to generate Boolean functions, whose Markov matrix +is doubly stochastic and whose graph of iterations is strongly connected +(denoted as DSSC Matrix) +\end{block} diff --git a/talk/qualitePRNG.tex.bak b/talk/qualitePRNG.tex.bak new file mode 100644 index 0000000..79c8dc1 --- /dev/null +++ b/talk/qualitePRNG.tex.bak @@ -0,0 +1,11 @@ +Evaluation des algorithmes: +\begin{itemize} +\item + Génération aléatoire de fonctions vérifiant + les critères du théorème précédent + et méthode constructive pour en générer~\footnote{Jacques Bahi, Jean-François Couchot, Christophe Guyeux, and Adrien Richard. On the Link Between Strongly Connected Iteration Graphs and Chaotic Boolean Discrete-Time Dynamical Systems. In FCT'11, 18th Int. Symp. on Fundamentals of Computation Theory, volume 6914 of LNCS, Oslo, Norway, pages 126--137, August 2011} +\item Succès à toutes les batteries de test~\footnote{Jacques Bahi, Xiaole Fang, Christophe Guyeux, and Qianxue Wang. Suitability of chaotic iterations schemes using XORshift for security applications. JNCA, Journal of Network and Computer Applications, *(*):***--***, 2013. Note: Accepted manuscript. To appear.} +\item Preuve de crypto sécurité et comparaison de complexité~\footnote{A Complexity Approach for Steganalysis. Journées Codes et Stéganographie, Hôtel de la Monnaie, Rennes, France, March 2012} + + +\end{itemize} diff --git a/talk/rem0.tex b/talk/rem0.tex new file mode 100644 index 0000000..6883003 --- /dev/null +++ b/talk/rem0.tex @@ -0,0 +1,13 @@ +\begin{itemize} +\item Validité du remplacement de $\sum_{i \in N }q_i^2$ par + $\sum_{i \in N }q_i^2 + {\sum_{h \in V, l \in L } \delta.x_{hl}^2} ++ {\sum_{h \in V }\delta.R_{h}^2}$? +\item Résultats expérimentaux avec $\delta = 0,2$ +\begin{itemize} +\item $q_i \approx 0,105$ et $0,1 \leq R_h \leq 0,15$ +\item $\sum_{i \in N }q_i^2 \approx 0.11$ vs. +$\sum_{i \in N }q_i^2 + {\sum_{h \in V, l \in L } \delta.x_{hl}^2} ++ {\sum_{h \in V }\delta.R_{h}^2} \geq 0,20$ +\item Non négligeable! +\end{itemize} +\end{itemize} diff --git a/talk/rem0.tex.bak b/talk/rem0.tex.bak new file mode 100644 index 0000000..944c8bf --- /dev/null +++ b/talk/rem0.tex.bak @@ -0,0 +1,13 @@ +\begin{itemize} +\item Validité du remplacement de $\sum_{i \in N }q_i^2$ par + $\sum_{i \in N }q_i^2 + {\sum_{h \in V, l \in L } \delta.x_{hl}^2} ++ {\sum_{h \in V }\delta.R_{h}^2}$? +\item Résultats experimentaux avec $\delta = 0,2$ +\begin{itemize} +\item $q_i \approx 0,105$ et $0,1 \leq R_h \leq 0,15$ +\item $\sum_{i \in N }q_i^2 \approx 0.11$ vs. +$\sum_{i \in N }q_i^2 + {\sum_{h \in V, l \in L } \delta.x_{hl}^2} ++ {\sum_{h \in V }\delta.R_{h}^2} \geq 0,20$ +\item Non négligeable! +\end{itemize} +\end{itemize} diff --git a/talk/rem0.tex~ b/talk/rem0.tex~ new file mode 100644 index 0000000..e69de29 diff --git a/talk/rem1.tex b/talk/rem1.tex new file mode 100644 index 0000000..fe7ef1e --- /dev/null +++ b/talk/rem1.tex @@ -0,0 +1,51 @@ +\begin{enumerate} +\item +$q_i^{(k)} = \arg\min_{q_i>0} +\left( +q^2 + q. +\left( +\sum_{l \in L } a_{il}w_l^{(k)}- +\lambda_i^{(k)}B_i +\right) +\right)$ + +\item +$ +P_{sh}^{(k)} += +\arg \min_{p > 0} +\left( +v_h^{(k)}.\dfrac{\ln(\sigma^2/D_h)}{\gamma p ^{2/3}} + \lambda_h^{(k)}p +\right) +$ + +\item +$ +R_h^{(k)} += +\arg \min_{r \geq 0 } +\left( +\delta r^2 +-v_h^{(k)}.r - \sum_{i \in N} u_{hi}^{(k)} \eta_{hi} +\right) +$ +\item +$ +x_{hl}^{(k)} = +\arg \min_{x \geq 0} +\left( +\delta.x^2 + x. +\sum_{i \in N} \left( +\lambda_{i}^{(k)}.(c^s_l.a_{il}^{+} + +c^r. a_{il}^{-} )+ + u_{hi}^{(k)} a_{il} +\right) +\right) + $ +\end{enumerate} +\begin{itemize} +\item Toutes les fonctions sont dérivables! +\item $ \leadsto$ pour 1. 3. 4., calcul direct du min! +\item 2. str. décroissante si $\lambda_h^{(k)}$ $\leadsto$ l'argmin est infini! +\item Convexité de 3. et 4. artificielle? Arbitraire? +\end{itemize} diff --git a/talk/rem1.tex~ b/talk/rem1.tex~ new file mode 100644 index 0000000..b234d5c --- /dev/null +++ b/talk/rem1.tex~ @@ -0,0 +1,51 @@ +\begin{enumerate} +\item +$q_i^{(k)} = \arg\min_{q_i>0} +\left( +q^2 + q. +\left( +\sum_{l \in L } a_{il}w_l^{(k)}- +\lambda_i^{(k)}B_i +\right) +\right)$ + +\item +$ +P_{sh}^{(k)} += +\arg \min_{p > 0} +\left( +v_h^{(k)}.\dfrac{\ln(\sigma^2/D_h)}{\gamma p ^{2/3}} + \lambda_h^{(k)}p +\right) +$ + +\item +$ +R_h^{(k)} += +\arg \min_{r \geq 0 } +\left( +\delta r^2 +-v_h^{(k)}.r - \sum_{i \in N} u_{hi}^{(k)} \eta_{hi} +\right) +$ +\item +$ +x_{hl}^{(k)} = +\arg \min_{x \geq 0} +\left( +\delta.x^2 + x. +\sum_{i \in N} \left( +\lambda_{i}^{(k)}.(c^s_l.a_{il}^{+} + +c^r. a_{il}^{-} )+ + u_{hi}^{(k)} a_{il} +\right) +\right) + $ +\end{enumerate} +\begin{itemize} +\item Toutes les fonctions sont dérivables! +\item $ \leadsto$ le min de 1. 3. 4. se calcule directement! +\item 2. str. décroissante si $\lambda_h^{(k)}$ $\leadsto$ l'argmin est infini! +\item Convexité de 3. et 4. artificielle? 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