From faf0c7c8185aab9116f46f2a4b2cf8860af8171d Mon Sep 17 00:00:00 2001
From: couturie <couturie@extinction>
Date: Fri, 19 Jul 2013 15:52:06 +0200
Subject: [PATCH 1/1] version karine

---
 Modelgeneral.eps | 5751 ++++++++++++++++++++++++++++++++++++++++++++++
 Modelgeneral.jpg |  Bin 0 -> 81344 bytes
 SciTePress.eps   |  Bin 0 -> 1494739 bytes
 SciTePress.sty   |  170 ++
 algorithm.sty    |   96 +
 algorithm2e.sty  | 2817 +++++++++++++++++++++++
 algorithmic.sty  |  192 ++
 article.tex      |    0
 bibliocap1.bib   |  419 ++++
 paperkd.blg      |   47 +
 paperkd.tex      |  407 ++++
 principles13.eps | 3034 ++++++++++++++++++++++++
 12 files changed, 12933 insertions(+)
 create mode 100644 Modelgeneral.eps
 create mode 100644 Modelgeneral.jpg
 create mode 100644 SciTePress.eps
 create mode 100644 SciTePress.sty
 create mode 100644 algorithm.sty
 create mode 100644 algorithm2e.sty
 create mode 100644 algorithmic.sty
 delete mode 100644 article.tex
 create mode 100644 bibliocap1.bib
 create mode 100644 paperkd.blg
 create mode 100644 paperkd.tex
 create mode 100644 principles13.eps

diff --git a/Modelgeneral.eps b/Modelgeneral.eps
new file mode 100644
index 0000000..6f51bb9
--- /dev/null
+++ b/Modelgeneral.eps
@@ -0,0 +1,5751 @@
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diff --git a/SciTePress.sty b/SciTePress.sty
new file mode 100644
index 0000000..3361f37
--- /dev/null
+++ b/SciTePress.sty
@@ -0,0 +1,170 @@
+\typeout{Conference Style for SciTePress for LaTeX 2e -- version of March 2011}
+%Modified by L. Medina:
+%   - title, authors, keywords and abstract: commands redefinition
+%   - spaces above and below captions: redefinition
+
+%Modified by V. Pedrosa:
+%   - title, authors, keywords and abstract: spacing is now automatic
+
+%%Page Setup
+
+\pagestyle{empty}
+\setlength\paperheight{297mm}
+\setlength\paperwidth{210mm}
+
+
+\setlength\topmargin{-0.91in} \setlength\oddsidemargin{0.02362in}
+\setlength\evensidemargin{0.02362in}
+
+\setlength\textheight{8.74in} \setlength\textwidth{6.221in}
+\setlength\columnsep{0.8cm}
+\newlength\titlebox %\setlength\titlebox{2in}
+\setlength\headheight{0pt} \setlength\headsep{36pt}
+\thispagestyle{empty} \pagestyle{empty}
+
+\flushbottom \twocolumn \sloppy
+
+\def\addcontentsline#1#2#3{}
+
+
+
+%%First Section
+\def\title#1{\gdef\@title{ #1 \\[15pt]{\textmd {\textbf }}\\}}
+\newcommand{\subtitle}[1]{\\ \fontsize{13}{15}\selectfont \textit{#1 } }
+
+\def\keywords#1{\gdef\@keywords{\small Keywords: \hspace{0.388cm} \begin{minipage}[t]{5.45in} \fontsize{9}{11}\selectfont \vspace{-0.22cm} #1 \\ \end{minipage}}}
+%\gdef\@mykeywords{}
+\def\abstract#1{\gdef\@abstract{\ \\ \small Abstract: \hspace{0.6cm} \begin{minipage}[t]{5.45in}  \fontsize{9}{11}\selectfont \vspace{-0.22cm} #1 \end{minipage} }}
+
+%%%%%%%
+\def\sup#1{$^{#1}$}
+
+\newcommand{\authorname}[1]{\fontsize{11}{13}\selectfont #1 \\ }%\addtocounter{authorcounter}{1}}
+\newcommand{\affiliation}[1]{\begin{minipage}[t]{6.2in} \centering \fontsize{9}{11}\selectfont \textit{ #1} \end{minipage} \\}
+\newcommand{\email}[1]{\fontsize{9}{11}\selectfont  \textit{#1} \\[12pt]}
+
+
+%%%%%%%
+\def\maketitle{\par
+\begingroup
+% to make the footnote style local to the title
+\def\thefootnote{\fnsymbol{footnote}}
+\twocolumn[
+
+\centering {\LARGE\bf \@title \par}
+\vskip -0.07in
+
+\centering\@author
+\vskip 0.51in
+
+\@keywords
+\vskip 0.02in
+
+\@abstract
+
+\vspace{32pt}
+
+]
+
+
+\@thanks
+\endgroup
+
+\let\maketitle\relax \let\@maketitle\relax
+\gdef\@thanks{}\gdef\@author{}\gdef\@title{}\let\thanks\relax}
+
+
+
+%%Paper Contents and References
+
+\def\pubnote#1{\thispagestyle{myheadings}
+\pagestyle{myheadings}
+\markboth{#1}{#1}
+\setlength\headheight{10pt}  \setlength\headsep{10pt}
+}
+
+% sections with less space
+\def\section{\@startsection{section}{1}{\z@}{24pt plus 2pt minus 1pt}
+{12pt plus 2pt minus 1pt}{\Large\bf\raggedright}}
+\def\subsection{\@startsection{subsection}{2}{\z@}{-2.0ex plus
+-0.5ex minus -.2ex}{12pt plus 2pt minus 1pt}{\large\bf\raggedright}}
+\def\subsubsection{\@startsection{subsubsection}{3}{\z@}{-2.0ex plus
+-0.5ex minus -.2ex}{12pt plus 2pt minus 1pt}{\normalsize\bf\raggedright}}
+
+
+% Footnotes
+\footnotesep 6.65pt %
+\skip\footins 9pt plus 4pt minus 2pt
+\def\footnoterule{\kern-3pt \hrule width 5pc \kern 2.6pt }
+
+% Lists and paragraphs
+\parindent 0.5cm
+\topsep 4pt plus 1pt minus 2pt
+\partopsep 1pt plus 0.5pt minus 0.5pt
+\itemsep 2pt plus 1pt minus 0.5pt
+\parsep 2pt plus 1pt minus 0.5pt
+\leftmargin 15pt \leftmargini\leftmargin \leftmarginii 10pt
+\leftmarginiii 5pt \leftmarginiv 5pt \leftmarginv 5pt \leftmarginvi
+5pt \labelwidth\leftmargini\advance\labelwidth-\labelsep \labelsep
+5pt
+\def\@listi{\leftmargin\leftmargini}
+\def\@listii{\leftmargin\leftmarginii
+\labelwidth\leftmarginii\advance\labelwidth-\labelsep
+\topsep 2pt plus 1pt minus 0.5pt
+\parsep 1pt plus 0.5pt minus 0.5pt
+\itemsep \parsep}
+\def\@listiii{\leftmargin\leftmarginiii
+\labelwidth\leftmarginiii\advance\labelwidth-\labelsep
+\topsep 1pt plus 0.5pt minus 0.5pt
+\parsep \z@ \partopsep 0.5pt plus 0pt minus 0.5pt
+\itemsep \topsep}
+\def\@listiv{\leftmargin\leftmarginiv
+\labelwidth\leftmarginiv\advance\labelwidth-\labelsep}
+\def\@listv{\leftmargin\leftmarginv
+\labelwidth\leftmarginv\advance\labelwidth-\labelsep}
+\def\@listvi{\leftmargin\leftmarginvi
+\labelwidth\leftmarginvi\advance\labelwidth-\labelsep}
+\abovedisplayskip 7pt plus2pt minus5pt%
+\belowdisplayskip \abovedisplayskip
+\abovedisplayshortskip 0pt plus3pt%
+\belowdisplayshortskip 4pt plus3pt minus3pt%
+
+%%%%%%
+\setlength{\abovecaptionskip}{4pt}%plus3pt minus3pt}%
+\setlength{\belowcaptionskip}{-4pt}%plus3pt minus3pt}
+%%%%%%
+% Less leading in most fonts (due to the narrow columns)
+% The choices were between 1-pt and 1.5-pt leading
+\def\normalsize{\@setfontsize\normalsize\@xpt{11}}   % 10 point on 11
+\def\small{\@setfontsize\small\@ixpt{10}}    % 9 point on 10
+\def\smalll{\@setfontsize\smalll\@viiipt{10}}    % 9 point on 9
+\def\footnotesize{\@setfontsize\footnotesize\@ixpt{10}}  % 9 point on 10
+\def\scriptsize{\@setfontsize\scriptsize\@viipt{10}}  % 7 point on 8
+\def\tiny{\@setfontsize\tiny\@vipt{7}}    % 6 point on 7
+\def\large{\@setfontsize\large\@xipt{12}}    % 11 point on 12
+\def\Large{\@setfontsize\Large\@xiipt{14}}    % 12 point on 14
+\def\LARGE{\@setfontsize\LARGE\@xivpt{16}}    % 14 point on 16
+\def\huge{\@setfontsize\huge\@xviipt{20}}    % 17 point on 20
+\def\Huge{\@setfontsize\Huge\@xxpt{23}}    % 20 point on 23
+
+\setlength{\topmargin}{-1.1cm} \addtolength{\textheight}{-0.1cm}
+\setlength{\headsep}{1.9cm}
+\setlength{\footskip}{1.7cm}
+
+\renewcommand{\large}{\fontsize{12}{15}\selectfont}
+\renewcommand{\Large}{\fontsize{13}{15}\selectfont}
+\renewcommand{\normalsize}{\fontsize{10}{11.5}\selectfont}
+\renewcommand{\refname}{REFERENCES}
+
+\newcommand{\F}{\mathcal{F}}
+\newcommand{\I}{\mathcal{I}}
+\newcommand{\D}{\mathcal{D}}
+\newcommand{\T}{\mathcal{T}}
+\newcommand{\R}{\mathcal{R}}
+\newcommand{\rr}{\mathfrak{r}}
+\newcommand{\code}[1]{\textsf{#1}}
+
+\renewcommand\floatpagefraction{.9}
+\renewcommand\topfraction{.9}
+\renewcommand\bottomfraction{.9}
+\renewcommand\textfraction{.1}
\ No newline at end of file
diff --git a/algorithm.sty b/algorithm.sty
new file mode 100644
index 0000000..34e1f1f
--- /dev/null
+++ b/algorithm.sty
@@ -0,0 +1,96 @@
+% ALGORITHM STYLE -- Released 8 April 1996
+%    for LaTeX-2e
+% Copyright -- 1994 Peter Williams
+%
+% E-mail pwil3058@bigpond.net.au
+%
+% This style file is free software; you can redistribute it and/or
+% modify it under the terms of the GNU Lesser General Public
+% License as published by the Free Software Foundation; either
+% version 2 of the License, or (at your option) any later version.
+%
+% This style file is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+% Lesser General Public License for more details.
+%
+% You should have received a copy of the GNU Lesser General Public
+% License along with this style file; if not, write to the
+% Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+% Boston, MA  02111-1307, USA.
+%
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{algorithm}
+\typeout{Document Style `algorithm' - floating environment}
+
+\RequirePackage{float}
+\RequirePackage{ifthen}
+\newcommand{\ALG@within}{nothing}
+\newboolean{ALG@within}
+\setboolean{ALG@within}{false}
+\newcommand{\ALG@floatstyle}{ruled}
+\newcommand{\ALG@name}{Algorithm}
+\newcommand{\listalgorithmname}{List of \ALG@name s}
+
+% Declare Options
+% first appearance
+\DeclareOption{plain}{
+  \renewcommand{\ALG@floatstyle}{plain}
+}
+\DeclareOption{ruled}{
+  \renewcommand{\ALG@floatstyle}{ruled}
+}
+\DeclareOption{boxed}{
+  \renewcommand{\ALG@floatstyle}{boxed}
+}
+% then numbering convention
+\DeclareOption{part}{
+  \renewcommand{\ALG@within}{part}
+  \setboolean{ALG@within}{true}
+}
+\DeclareOption{chapter}{
+  \renewcommand{\ALG@within}{chapter}
+  \setboolean{ALG@within}{true}
+}
+\DeclareOption{section}{
+  \renewcommand{\ALG@within}{section}
+  \setboolean{ALG@within}{true}
+}
+\DeclareOption{subsection}{
+  \renewcommand{\ALG@within}{subsection}
+  \setboolean{ALG@within}{true}
+}
+\DeclareOption{subsubsection}{
+  \renewcommand{\ALG@within}{subsubsection}
+  \setboolean{ALG@within}{true}
+}
+\DeclareOption{nothing}{
+  \renewcommand{\ALG@within}{nothing}
+  \setboolean{ALG@within}{true}
+}
+\DeclareOption*{\edef\ALG@name{\CurrentOption}}
+
+% ALGORITHM
+%
+\ProcessOptions
+\floatstyle{\ALG@floatstyle}
+\ifthenelse{\boolean{ALG@within}}{
+  \ifthenelse{\equal{\ALG@within}{part}}
+     {\newfloat{algorithm}{htbp}{loa}[part]}{}
+  \ifthenelse{\equal{\ALG@within}{chapter}}
+     {\newfloat{algorithm}{htbp}{loa}[chapter]}{}
+  \ifthenelse{\equal{\ALG@within}{section}}
+     {\newfloat{algorithm}{htbp}{loa}[section]}{}
+  \ifthenelse{\equal{\ALG@within}{subsection}}
+     {\newfloat{algorithm}{htbp}{loa}[subsection]}{}
+  \ifthenelse{\equal{\ALG@within}{subsubsection}}
+     {\newfloat{algorithm}{htbp}{loa}[subsubsection]}{}
+  \ifthenelse{\equal{\ALG@within}{nothing}}
+     {\newfloat{algorithm}{htbp}{loa}}{}
+}{
+  \newfloat{algorithm}{htbp}{loa}
+}
+\floatname{algorithm}{\ALG@name}
+
+\newcommand{\listofalgorithms}{\listof{algorithm}{\listalgorithmname}}
+
diff --git a/algorithm2e.sty b/algorithm2e.sty
new file mode 100644
index 0000000..c2ebe93
--- /dev/null
+++ b/algorithm2e.sty
@@ -0,0 +1,2817 @@
+%  algorithm2e.sty --- style file for algorithms
+%                      almost everything can be customized by users. See the document for more explanations
+%% Copyright 1996-2013 Christophe Fiorio
+%
+% This program 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 program consists of the files algorithm2e.sty and algorithm2e.tex and algorithm2e-compatibility.sty
+%  
+%  Report bugs and comments to:
+%  - algorithm2e-announce@lirmm.fr  mailing list for announcement about releases^^J%
+%  - algorithm2e-discussion@lirmm.fr mailing list for discussion about package^^J%
+%  subscribe by emailing sympa@lirmm.fr with 'subscribe <list> <firstname name>'^^J%
+%
+%  $Id: algorithm2e.sty,v 5.0 2013/01/06 14:40:35 cfiorio Exp $
+%
+%  PACKAGES REQUIRED:
+%
+%  - float   (in contrib/supported/float)
+%  - ifthen  (in base)
+%  - xspace  (in packages/tools)
+%  - relsize (in contrib/misc/relsize.sty)
+%
+%%%%%%%%%%%%%%%  Release 5.0
+%
+%   Package options: 
+%   ---------------
+%   - oldcommands                      : to use old command names
+%   - french, english, german, ngerman
+%      portuguese, czech, italiano,
+%      slovak, croatian, spanish       : for the name of the algorithm and some keyword code
+%   - onelanguage                      : to simply switch keyword from one language to another without changing
+%                                        keyword commands
+%   - boxed, boxruled, ruled, tworuled, 
+%     algoruled, plain                 : layout of the algorithm
+%   - algo2e                           : environment is algorithm2e instead of algorithms and \listofalgorithmes
+%                                        instead of \listofalgorithms
+%   - slide                            : to use when making slides
+%   - noline,lined,vlined              : how block are designed.
+%   - shortend, longend, noend         : short or long end keyword as endif for e.g.
+%   - linesnumbered                    : auto numbering of the algorithm's lines
+%   - linesnumberedhidden              : to hide autonumbered lines (show number on a line with \ShowLn
+%   - commentsnumbered, inoutnumbered  : to autonumber comments and inout keywords (by defaut not numbered)
+%   - rightnl                          : to have line number on the right instead of on the left as default
+%   - algonl                           : line numbers preceded by algo number
+%   - scright, scleft                  : right or left justified side comments
+%   - fillcomment, nofillcomment       : end mark of comment is flushed to the right so comments fill the line
+%   - dotocloa                         : add an entry in the toc for list of algorithms (require tocbibind package)
+%   - endfloat                         : add algoendfloat environment pushing algorithm so written to the end of document
+%   - resetcount, noresetcount         : start value of line numbers.
+%   - algopart,algochapter,algosection : algo numbering within part, chapter or section
+%   - titlenumbered,titlenotnumbered   : numbering of title set by \Titleofalgo
+%   - figure                           : algorithms are figures, numbered as figures, and put in the list of figures.
+%   - procnumbered                     : procedure or function are numbered as algorithm
+%   - nokwfunc                         : procedure or function name doens't become a command
+%   - norelsize                        : don't use relsize package (useful if it breaks the compatibily)
+%   - displayblockmarkers              : display begin, end keywords at start of each block
+%  
+%   defaults are; english,plain,resetcount,titlenotnumbered
+%
+%%%%%%%%%%%%%%
+%
+%   Short summary  
+%   -------------
+%  
+%   algorithm is an environment for writing algorithm in LaTeX2e.
+%   Almost all is customizable. You can add keywords, change style, change the layout, ...
+%   It provide macros that allow you to create differents sorts of key words, therefore a set of predefined key
+%   word is gived.
+%
+%   IT should be used as follows
+%
+%   \begin{algorithm}
+%       ...
+%       ...
+%   \end{algorithm}
+%
+%
+%   IMPORTANT : each line MUST end with \;
+%
+%   Note that if you define macros outside algorithm environment they
+%   are avaible in all the document and particulary you can use then
+%   inside all algorithms without re-define them.
+%  
+%   an example:
+%
+%   \begin{algorithm}
+%     \SetAlgoLined
+%     \KwIn{this text}
+%     \KwOut{how to write algorithm with \LaTeX2e }
+%     
+%     initialization\;
+%     \While{not at end of this document}{
+%       read current section\;
+%       \eIf{understand}{
+%         go to next section\;
+%         current section becomes this one\;
+%         }{
+%         go back to the beginning of current section\;
+%         }
+%       }
+%     \caption{How to write algorithm}
+%   \end{algorithm}
+%
+%
+%%%%%%%%%%%%%%         predefined keywords
+%
+%     \KwIn{input}
+%     \KwOut{output}
+%     \KwData{input}
+%     \KwResult{output}
+%     \KwTo                                       % a simple keyword
+%     \KwFrom                                     % a simple keyword
+%     \KwRet{[value]}
+%     \Return{[value]}
+%     \Begin{block inside}
+%     \eIf{condition}{Then Block}{Else block}     % in blocks
+%     \If{condition}{Then block}                  % in a block
+%     \uIf{condition}{Then block}                 % in a block unended
+%     \lIf{condition}{Else text}                  % on the same line
+%     \Else{inside Else}                          % in a block
+%     \lElse{Else text}                           % on the same line        
+%     \uElse{Else text}                           % in a block unended
+%     \ElseIf{inside Elseif}                      % in a block
+%     \lElseIf{Elseif text}                       % on the same line        
+%     \uElseIf{Elseif text}                       % in a block unended
+%     \Switch{Condition}{Switch block}
+%     \Case{a case}{case block}                   % in a block
+%     \lCase{a case}{case text}                   % on the same line
+%     \Other{otherwise block}                     % in a block
+%     \lOther{otherwise block}                    % on the same line
+%     \For{condition}{text loop}                  % in a block
+%     \lFor{condition}{text}                      % on the same line
+%     \ForEach{condition}{text loop}              % in a block
+%     \lForEach{condition}{text}                  % on the same line
+%     \ForPar{condition}{text loop}               % in a block
+%     \lForPar{condition}{text}                   % on the same line
+%     \While{condition}{text loop}                % in a block
+%     \lWhile{condition}{text loop}               % on the same line
+%     \Repeat{End condition}{text loop}           % in a block
+%     \lRepeat{condition}{text}                   % on the same line
+%
+%%%%%%%%%%%%%%
+%
+%   History: 
+%
+%   - January 06 2013 - revision 5.0
+%                     * CHANGE: SetKwSwith takes now 9 args: 9th arg is the same as
+%                                previous 8th arg ('end of switch' keyword). New 8th arg is
+%                                'end of case' keyword. This is due to change of release
+%                                3.2 which introduce end after case block... as I never
+%                                test with longend option, I never see that the 'end
+%                                switch' used for case was not good.
+%                     * CHANGE: when no end keyword is defined in a block macro, then
+%                                algorithm2e does no more try to print it. So even with lined or noline
+%                                option, no empty line is printed (before: a blank end was
+%                                printed, so a blank line appeared)
+%                     * Internal Change: add some internal function to improve readibility
+%                                        (thanks to Philip K. F. H\ölzenspies)
+%                     * ADD: Block markers. 
+%                            You can now ask package to put begin and end keywords automatically at begin
+%                            and end of blocks, it means each group of commands shifted and enclosed in
+%                            braces.
+%                            This is tricky to use but, combined with \SetStartEndCondition and
+%                            redefinition of keywords, you should be abble to simulate any syntax. See
+%                            examples in documentation where a generic example is derived in pseudo-code,
+%                            python and C by keeping code and changing only style using block markers
+%                            macros, \SetStartEndCondition and some redefinition of keywords.
+%                            These new block markers macros are:
+%                            - \AlgoDisplayBlockMarkers and \AlgoDontDisplayBlockMarkers
+%                            - \SetAlgoBlockMarkers{begin marker}{end marker}
+%                            - \BlockMarkersSty{text} and \SetBlockMarkersSty
+%                            Note that a new option has also been added: displayblockmarkers
+%                     * ADD: \leIf macro automatically defined by \SetKwIF: allow to define
+%                            an if-then-else on a single line.
+%                     * ADD: new macro \SetStartEndCondition{typo1}{typo2}{typo3} which
+%                            sets typo around condition in For, If, Switch, Case and
+%                            Repeat macros. First two are used around For, If, Swith
+%                            conditions, First and third are used for Case and Repeat
+%                            condition where condition ends the line. Default definition
+%                            is \SetStartEndCondition{ }{ }{}. 
+%                            A common alternative is \SetStartEndCondition{ (}{) }{)}
+%                            Can also be used to remove space around condition, for
+%                            example if you want python style commands:
+%                            \SetStartEndCondition{ }{}{} and \SetKwFor{For}{for}{:}{}
+%                     * ADD: new environment algomathdisplay which allow display math (like inside \[ \] or $$ $$) 
+%                            handling end line and line number
+%                     * ADD: new command \SetKwProg{Env}{Title}{is}{end} which defines a macro
+%                            \Env{args}{text}. Env is a block with 'Title' (in \CapSty) at the beginning
+%                            followed by args followed by 'is' then 'text' is put below inside a block ended
+%                            by 'end'. If no 'end' is specified, nothing is written (no
+%                            blank line is inserted). Useful to typeset function or prog for example:
+%                            \SetKwProg{Fn}{Function}{is}{end} makes \Fn{afunc(i: int) : int}{return 0\;}                    
+%                            writes: 
+%                            Function afunc(i: int) : int is
+%                            | return 0;
+%                            end
+%                            or \SetKwProg{Def}{def}{:}{} makes \Def{afunc(i: int)}{return 0\;} writes:
+%                            def afunc(i: int):
+%                            | return 0
+%                            Tip: combine it with \SetKwFunction to write recursive function algorithm. With
+%                            example above, you could define \SetKwFunction{\Afunc}{afunc} and then write:
+%                            \Def{\Afunc{i:int}{\eIf{i>0}{\KwRet \Afunc{i-1}}{\KwRet 0\;}} that writes:
+%                            def afunc(i: int):
+%                            | if(i>0):
+%                            |     return afunc(i-1)
+%                            | else:
+%                            |     return 0
+%                            with appropriate typo.
+%                     * ADD: option croatian: croation keywords (thanks to Ivan Gavran)
+%                     * ADD: option ngerman: same as german option but so can be used with global option ngerman
+%                            of babel
+%                     * ADD: option spanish: Spanish support (thanks to Mario Abarca)
+%                     * ADD: unterminated block: useful to add part separator that doesn't necessary need an end
+%                            keyword.  
+%                            Designed on the pattern of unterminated if (see \uIf macro) allowing to
+%                            add a block that is not terminated by a keyword. Such block are defined in the same
+%                            time as a block is defined by adding a macro beginning with u. So, for example,
+%                            predefined \SetKwBlock{Begin}{begin}{end} defines now two commands:
+%                            - \Begin{} as previously which print a begin - end block
+%                            - \uBegin{} that defines a begin only block
+%                     * FIX: problem when numbering line inside until condition of
+%                            \SetKwRepeat macro: line number was not correctly aligned.
+%                     * FIX: dotocloa option which was broken
+%                     * FIX: uIf and uCase didn't have same behavior when used with
+%                            noline, vlined or lined option. This is fixed. Side effect: no empty
+%                            line after an uIf or uCase when used with options lined or vlined
+%                     * FIX: a bug with Repeat Until command when use with side comment on Until
+%                     * FIX: a bug with side text -- text put into () -- of command macro (SetKwIf and so on)
+%                            which was always setting a ';' even after a \DontPrintSemicolon
+%                     * FIX: a bug with hyperref and chapter definition (thanks to Hubert Meier)
+%                     * FIX: bugs with l macro and side comment
+%                     * FIX: revision number
+%                     * FIX: fix non ascii character (utf8 not yet recognized by all latex engine)
+%                     * FIX: fnum@algocf had an useless parameter which sometimes broke expansion and output an error
+%                     * FIX: works now with multicol package
+%
+%   - december 14 2009 - revision 4.1
+%                     * ADD: new command \SetKwHangingKw{Name}{text} (hanging indent with keyword): This creates a
+%                            hanging indent much like \texttt{SetKwInput}, except that it removes the trailing `:'
+%                            and does not reset numbering (thanks to Nathan Tallent)
+%
+%   - november 17 2009  - revision 4.00 -
+%
+%                      * CHANGE: IMPORTANT: some commands have been renamed to have consistent naming (CamlCase
+%                                syntax) and old commands are no more available. If you doesn't want to change
+%                                your mind or use old latex files, you can use oldcommands option to enable old
+%                                commands back.
+%                                text. Here are these commands:
+%                                - \SetNoLine becomes \SetAlgoNoLine
+%                                - \SetVline  becomes \SetAlgoVlined
+%                                - \Setvlineskip  becomes \SetVlineSkip
+%                                - \SetLine   becomes \SetAlgoLined
+%                                - \dontprintsemicolon becomes \DontPrintSemicolon
+%                                - \printsemicolon becomes \PrintSemicolon
+%                                - \incmargin becomes \IncMargin
+%                                - \decmargin becomes \DecMargin
+%                                - \setnlskip becomes \SetNlSkip
+%                                - \Setnlskip becomes \SetNlSkip
+%                                - \setalcapskip becomes \SetAlCapSkip
+%                                - \setalcaphskip becomes \SetAlCapHSkip
+%                                - \nlSty becomes \NlSty
+%                                - \Setnlsty becomes \SetNlSty
+%                                - \linesnumbered becomes \LinesNumbered
+%                                - \linesnotnumbered becomes \LinesNotNumbered
+%                                - \linesnumberedhidden becomes \LinesNumberedHidden
+%                                - \showln becomes \ShowLn
+%                                - \showlnlabel becomes \ShowLnLabel
+%                                - \nocaptionofalgo becomes \NoCaptionOfAlgo
+%                                - \restorecaptionofalgo becomes \RestoreCaptionOfAlgo
+%                                - \restylealgo becomes \RestyleAlgo
+%                                - gIf macros and so on do no more exist
+%                      * NEW: - Compatibily with other packages improven by changing name of internal
+%                               macros. Algorithm2e can now be used with arabtex for example, if this last is
+%                               loaded after algorithm2e package.
+%                      * ADD: - OPTION endfloat: endfloat packages doesn't allow float environment inside other
+%                               environment. So using it with figure option of algorithm2e makes error. This
+%                               option enables a new environment algoendfloat to be used instead of algorithm
+%                               environment that put algorithm at the end. algoendfloat environment make
+%                               algorithm acting as endfloat figures. This option requires endfloat packages.
+%                      * ADD: - OPTION norelsize: starting from this release (v4.00), algorithm2e package uses
+%                               relsize package in order to get relative size for lines numbers; but it seems
+%                               that some rare classes (such as inform1.cls) are not compatible with relsize; to
+%                               have algorithm2e working, this option makes algorithm2e not to load relsize
+%                               package and go back to previous definition by using \scriptsize font for lines
+%                               numbers.
+%                      * ADD: - OPTION onelanguage: allow, if using standard keywords listed below, to switch
+%                               from one language to another without changing keywords by using appropriate
+%                               language option:
+%                               . KwIn, KwOut, KwData, KwResult
+%                               . KwTo KwFrom
+%                               . KwRet, Return
+%                               . Begin
+%                               . Repeat
+%                               . If, ElseIf, Else
+%                               . Switch, Case, Other
+%                               . For, ForPar, ForEach, ForAll, While
+%                               .
+%                      * ADD: - OPTION rightnl: put lines numbers to the right of the algorithm instead of left.
+%                      * ADD:   new commands \setRightLinesNumbers and \setLeftLinesNumbers which sets the lines
+%                               numbers to the right or to the left of the algorithm.
+%                      * ADD: - new kind of keywords: KwArray used to define arrays:
+%                               \SetKwArray{Kw}{array} defines an array keywords Kw called array and printed in
+%                               DataSty style when call with \Kw. It can be used with one argument which
+%                               denotes the element index: \Kw{n} prints array[n] with array in DataSty and n in
+%                               ArgSty.
+%                      * ADD/FIX: rules of ruled, algoruled, tworuled styles used rules of different sizes! This
+%                                 is now fixed. Moreover size of the rules is now controlled by a length and so
+%                                 can be customized by the user.
+%                                 \algoheightrule is the height of the rules and can be changed via \setlength
+%                                 \algoheightruledefault is the default height of he rules (0.8pt)
+%                                 \algotitleheightrule is the height of the rule that comes just after the
+%                                 caption in ruled and algoruled style; it can be changed via \setlength
+%                                 \algotitleheightruledefault is the default height of this rules (0.8pt)
+%                                 Thanks to Philippe Dumas who reports the bug and make the suggestion.
+%                      * ADD: - \SetAlgoCaptionSeparator which sets the separator between Algorithm 1 and the
+%                               title. By default it's ':' and caption looks like "Algorithm 2: title" but now
+%                               you can change it by using for example \SetAlgoCaptionSeparator{.} which will
+%                               give "Algorithm 3. title"
+%                      * ADD: - \SetAlgoLongEnd and \SetAlgoShortEnd and \SetAlgoNoEnd commands which act as
+%                               corresponding package options
+%                      * ADD: - OPTIONS italiano and slovak as new language (thanks to Roberto Posenato and
+%                               Miroslav Binas) 
+%                      * CHANGE: - Fnt and Sty macro to have consistent use and naming (see below)
+%                      * ADD: - \AlCapSty, \AlCapNameSty, \AlCapFnt, \AlCapNameFnt, \ProcSty, \ProcFnt,
+%                               \ProcNameSty, \ProcNameFnt, \ProcArgSty, ProcArgFnt and corresponding "set macro" 
+%                               \SetAlCapSty, \SetAlCapNameSty, \SetAlCapFnt, \SetAlCapNameFnt, \SetProcSty,
+%                               \SetProcFnt, \SetProcNameSty, \SetProcNameFnt, \SetProcArgSty, \SetProcArgFnt which
+%                               control the way caption is printed. Sty macro use command taking one parameter as
+%                               argument, Fnt macros use directly command. In Fact caption is printed as follow:
+%                               \AlCapSty{\AlCapFnt Algorithm 1:}\AlCapNameSty{\AlCapNameFnt my algorithm}
+%                               By default, \AlCapSty is textbf and \AlCapFnt is nothing. \AlCapNameSty keep text 
+%                               as it is, and \AlCapNameFnt do nothing also.
+%                               You can redefine \AlCapFnt and \AlCapNameFnt by giving macro to \Set commands. For
+%                               example, you can do \SetAlCapFnt{\large} to see Algorithm printed in \large font.
+%                               You can redefine \AlCapSty, \AlCapFnt, \AlCapNameSty and \AlCapNameFnt with the
+%                               corresponding \Set command. For the Sty commands, you have to give in parameter
+%                               name of a macro (whithout \)  which takes one argument. For example,
+%                               \SetAlCapFnt{textbf} defines the default behaviour. If you want to do more
+%                               complicated thing, you should define your own macro and give it to \SetAlCapFnt or
+%                               \SetAlCapNameFnt. Here are two examples:
+%                               - \newcommand{\mycapsty}[1]{\tiny #1}\SetAlCapNameSty{mycapsty}
+%                               - \newcommand{\mycapsty}[1]{\textsl{\small #1}}\SetAlCapNameSty{mycapsty}
+%                               Or you can combine the two, for the last example you can also do:
+%                               \SetAlCapNameSty{textsl}\SetAlCapNameFnt{\small}
+%                               Thanks to Jan Stilhammer who gives me the idea of \AlCapNameFnt.
+%                      * CHANGE \AlTitleFnt to match definition of all other Fnt macros and add a \AlTitleSty 
+%                               macro (see below) . Now you set \AlTitleFnt by calling \SetAlTitleFnt with 
+%                               directly a macro without parameter in argument:
+%                               Example: \SetAlTitleFnt{\small} to set title in small font.
+%                      * ADD: - \AlTitleSty and \SetAlTitleSty commands to set a style for title. These commands
+%                               are defined from a macro taking the text in argument, as \textbf for example. 
+%                               To set the TitleSty you have to give name of the macro (without the '\') 
+%                               to \SetAlTitleSty. For example \SetAlTitleSty{textbf} to set \textbf style.
+%                      * ADD: - new command \SetAlgorithmName{algorithmname}{list of algorithms name} which
+%                               redefines name of the algorithms and the sentence list of algorithms. Second
+%                               argument is the name that \autoref, from hyperref package, will use. Example:
+%                               \SetAlgorithmName{Protocol}{List of protocols} if you prefer protocol than
+%                               algorithm.
+%                      * ADD: - new \SetAlgoRefName{QXY} which change the default ref (number of the algorithm) by
+%                               the name given in parameter (QXY in the example). 
+%                      * ADD: - new command \SetAlgoRefRelativeSize{-2} which sets the output size of refs, defined
+%                               by \SetAlgoRefName, used in list of algorithms.
+%                      * ADD: - two dimensions to control the layout of caption in ruled, algoruled and boxruled
+%                               algorithms:
+%                               - interspacetitleruled (2pt by defaut) which controls the vertical space between
+%                                 rules and title in ruled and algoruled algorithms.
+%                               - interspaceboxruled (2\lineskip by default) which controls the vertical space
+%                                 between rules and title in boxruled algorithms.
+%                               These two dimensions can be changed by using \setlength command.
+%                      * ADD: - With the fix (see below) of procedure and function environments, a new feature has
+%                               been added: the name of the procedure or function set in caption is automatically
+%                               defined as a KwFunction and so can be used as a macro. For example, if inside a
+%                               procedure environment you set \caption{myproc()}, you can use \myproc macro in you
+%                               main text. Beware that the macro is only defined after the \caption!
+%                      * ADD: - OPTION nokwfunc to unable the new feature described above in function and
+%                               procedure environment. Useful if you use name of procedure or function that cannot
+%                               be a command name as a math display for example.
+%                      * ADD: - \SetAlgoNlRelativeSize{number} command which sets the relative size of line
+%                               numbers. By default, line numbers are two size smaller than algorithm text. Use
+%                               this macro to change this behavior. For example, \SetAlgoNlRelativeSize{0} sets it
+%                               to the same size, \SetAlgoNlRelativeSize{-1} to one size smaller and
+%                               \SetAlgoNlRelativeSize{1} to one size bigger
+%                      * ADD: - \SetAlgoProcName{aname} command which sets the name of Procedure printed by
+%                               procedure environment (the environment prints Procedure by default). Second
+%                               argument is the name that \autoref, from hyperref package, will use.
+%                      * ADD: - \SetAlgoFuncName{aname} command which sets the name of Function printed by
+%                               procedure environment (the environment prints Function by default). Second
+%                               argument is the name that \autoref, from hyperref package, will use. 
+%                      * ADD: - \SetAlgoCaptionLayout{style} command which sets style of the caption; style must
+%                               be the name of a macro taking one argument (the text of the caption). Examples
+%                               below show how to use it:
+%                               . \SetAlgoCaptionLayout{centerline} to have centered caption
+%                               . \SetAlgoCaptionLayout{textbf} to have bold caption
+%                               If you want to apply two styles in the same time, such as centered bold, you have
+%                               to define you own macro and then use \SetAlgoCaptionLayout with its name.
+%                      * ADD: - OPTION procnumbered: which makes the procedure and function to be numbered as
+%                               algorithm
+%                      * ADD: - OPTIONS tworuled and boxruled
+%                               these are two new layouts: tworuled acts like ruled but doesn't put a line after
+%                               caption ; boxruled surround algorithm by a box, puts caption above and add a line
+%                               after caption.
+%                      * REMOVE: - SetKwInParam has been deleted since not useful itself because of different
+%                                macros which can do the same in a better and a more consistent way as
+%                                SetKwFunction or SetKw.
+%                      * FIX: - line number is now correctly vertically aligned with math display.
+%                      * FIX: - references with hyperref. No more same identifier or missing name error. BUT now
+%                               you must NOT use naturalnames option of hyperref packages if you do PdfLaTeX
+%                      * FIX: - autoref with hyperref package (thanks to Jörg Sommer who notices the problem).
+%                      * FIX: - titlenumbered was not working! fixed.
+%                      * FIX: - Else(){} acted like uElse. Corrected.
+%                      * FIX: - noend management: when a block was inside another and end of block was following
+%                               each other, a blank line was added: it's now corrected.
+%                      * FIX: - Function and Procedure environment was no more working as defined originally: the
+%                               label was no more name of the procedure, it acts always as if procumbered option
+%                               has been used.
+%                      * FIX: - line numbers had a fixed size which can be bigger than algorithm text accordingly
+%                               to \AlFnt set (see also new command \SetAlgoNlRelativeSize above)
+%                      * FIX: - semicolon in comments when dontprintsemicolon is used.
+%                      * FIX: - listofalgorithms adds a vertical space before first algo of a chapter as for
+%                               listoffigures or listoftables
+%                      * FIX: - listofalgorithms with twocolumns mode and some classes which don't allow onecolumn
+%                               and so don't define \if@restonecol as prescribed in LaTeX (sig-alternate for
+%                               example)
+%                      * FIX: - algorithm2e now works with elsart cls and some more classes.
+%                      * FIX: - blocks defined by SetKwBlock act now as other blocks (if for instance) and don't
+%                               write end in vlined mode, instead they print a small horizontal line as required
+%                               by the option.
+%                      * FIX: - underfull hbox warning at each end of algorithm environment removed.
+%
+%                      * INTERNAL CHANGE: - short end keyword are deduce from long end keyword by keeping the
+%                                           first one. Allows to avoid double definition.
+%                      * INTERNAL CHANGE: - procedure, function and algorithm are now resolved by the same
+%                               environment to avoid code duplication. 
+%
+%   - October  04 2005  - revision 3.9 -
+%                      * ADD: - \setalcaphskip command which sets the horizontal skip before Algorithm: in caption
+%                               when used in ruled algorithm.
+%                      * ADD: - \SetAlgoInsideSkip command which allows to add an extra vertical space before and
+%                               after the core of the algorithm (ie: \SetAlgoInsideSkip{bigskip}) 
+%                      * CHANGE: - caption, when used with figure option, is no more controlled by algorithm2e
+%                                  package and so follows the exact behaviour of figures. The drawback is that you
+%                                  cannot change the typo with AlTitleFnt or CapFnt. The avantage is that if you
+%                                  use caption package, it works.
+%                      * FIX: - problem with numbering line and pdflatex
+%                      * FIX: - error when algorithm2e package was used with beamer and listings together
+%   - February 12 2005  - revision 3.8 -
+%                      * FIX: - extra line with noend option.
+%   - February 10 2005  - revision 3.7 -
+%                      * ADD: - sidecomment: different macros allowing to put text right after code on the same
+%                               line. They are defined in the same time comment macros are defined with a star
+%                               after the macro name. By default comments are right justified but this can be
+%                               change with appropriate option in the macro. Ex:
+%                               . default: \tcc*{side comment}
+%                               . same as previous: \tcc*[r]{side comment}
+%                               . left justify: \tcc*[l]{side comment}
+%                               . here: \tcc*[h]{side comment} don't put the end of line mark before
+%                                       comment (; by default) and don't end the line.
+%                               . flushed: \tcc*[f]{side comment} same as the precedent but right
+%                                 justified
+%                      * ADD: - OPTION scright (default): right justified side comments (side comments
+%                               are flushed to the righr)
+%                      * ADD: - OPTION scleft: left justified side comments (side comments are put right after the
+%                               code line)
+%                      * ADD: - \SetSideCommentLeft acts as scleft option
+%                      * ADD: - \SetSideCommentRight acts as scright option
+%                      * ADD: - block like macro side text: all macro defining a block allows now to put text right
+%                               after key words by putting text into (). Done to be used with sidecomment macros,
+%                               but all text can be used. 
+%                               Ex: \eIf(\tcc*[f]{then comment}){test}{then text}(else side text){else text}
+%                      * ADD: - OPTION fillcomment (default): end mark of comment is flushed to the right so
+%                               comments fill all the width of text.
+%                      * ADD: - OPTION nofillcomment: end mark of comment is put right after the comment.
+%                      * ADD: - \SetNoFillComment acts as nofillcomment option.
+%                      * ADD: - \SetFillComment acts as fillcomment option.
+%                      * ADD: - OPTION dotocloa: which adds an entry in the toc for the list of algorithms. This
+%                               option load package tocbibind if not already done and so list of figures and list
+%                               of tables are also added in the toc. If you want to control which ones of the lists
+%                               will be added in the toc, please load package tocbibind before package algorithm
+%                               and give it the options you want.
+%                      * FIX: - vertical spacing for uif macro with noend option
+%                      * FIX: - all the compatibility problems between caption and other packages
+%                      * FIX: - typographical differences between list of algorithms and other lists  when in
+%                               report or book 
+%
+%   - January 24 2005  - revision 3.6 -
+%                      * FIX: - vertical spacing and space characters at the beginning or end of comments.
+%                               line numbers of comments not in the NlSty.
+%                               Thanks to Arnaud Giersch for his comments and suggestions.
+%                      * FIX: - Set*Sty macro: the styles defined was not protected and was modified by surrounding
+%                               context. For example KwTo in a \For{}{} was in bold AND italic instead of just in
+%                               bold.
+%                      * FIX: - line number misplacement after \Indp
+%
+%   - January 21 2005  - revision 3.5 -
+%                      * ADD: - hidden numbering of the lines. Lines are auto-numbered but numbers are shown only
+%                               on lines you specify:
+%                               * linesnumberedhidden option or \LinesNumberedHidden macro activate this
+%                                 functionnality.
+%                               * \ShowLn and \ShowLnLabel{lab} macros make the number visible on the
+%                               line. \ShowLnLabel{lab} allows to set a label for this line. 
+%                               Thanks to Samson de Jager who makes this suggestion and provides the macros.
+%                      * ADD: - \AlCapFnt and \SetAlCapFnt which allow to have a different font for
+%                               caption. Works like \AlFnt and \SetAlFnt and by default is the same.
+%                      * ADD: - \AlCapSkip skip length. This vertical space is added before caption in plain ou
+%                               boxed mode. It allows to change distance between text and caption.
+%                      * FIX: - caption compatible with IEEEtran class. 
+%                      * FIX: - some vertical spacing error with \uIf macros (Thanks to Arnaud Giersch)
+%                      * FIX: - Procedure and Function: lines are also numbered like algorithms
+%                      * FIX: - CommentSty was not used for Comments
+%
+%   - January 10 2005  - revision 3.4 -
+%                      * FIX: - caption compatible with new release of Beamer class. 
+%
+%   - June 16 2004     - revision 3.3 - 
+%                      * FIX: - Hyperlink references of Hyperref package works now if compiled with pdflatex 
+%                               and [naturalnames] option of hyperref package is used.
+%                      * FIX: - algorithm[H] had problem in an list environment - corrected
+%                      * FIX: - interline was not so regular in nested blocks - corrected
+%                      * ADD  - \SetVlineSkip macro which sets the vertical skip after the little horizontal 
+%                               rule which closes a block in Vlined mode. By default 0.8ex
+%
+%   - June 11 2004     - revision 3.2 - AUTO NUMBERING LINES !!!
+%                      * ADD: auto numbering of the lines (the so asked and so long awaiting feature)
+%                             this feature is managed by 3 options and 3 commands:
+%                             - linesnumbered option: lines of the algo are numbered except for comments and
+%                               input/output (KwInput and KwInOut)
+%                             - commentsnumbered option: makes comments be numbered
+%                             - inoutnumbered option: makes data input/output be numbered
+%                             - \nllabel{lab} labels the line so you can cite with \ref{lab}
+%                             - \LinesNumbered make the following algorithms having auto-numbered lines
+%                             - \linesnotnumbered make the following algorithms having no auto-numbered lines
+%                      * Change: algo2e option renames listofalgorithms in listofalgorithmes
+%                      * FIX: new solution for compatibility with color package, more robust and not tricky.
+%                             Many thanks to David Carlisle for his advices
+%
+%   - June 09 2004     - revision 3.1 -
+%                      * Change: \SetKwSwitch command defines an additionnal macro \uCase and \Case prints end
+%                      * Change: now macros SetKw* do a renewcommand if the keyword is already defined. So you can
+%                                redefine default definition at your own convenience or change your definition
+%                                without introducing a new macro and changing your text.
+%                      * ADD: new macro \SetKwIF which do \SetKwIf and
+%                             \SetKwIfElseIf.The following default definition has been added:
+%                             \SetKwIF{If}{ElseIf}{Else}{if}{then}{else if}{else}{endif}
+%                             and so you get the macros;
+%                             \If \eIf \lIf \uIf \ElseIf \uElseIf \lElseIf \Else \uElse \lElse
+%                      * ADD: new macro \SetAlgoSkip which allow to fix the vertical skip before and after the
+%                             algorithms. Default is smallskip, do \SetAlgoSkip{} if you don't want an extra space
+%                             or \SetAlgoSkip{medskip} or \SetAlgoSkip{bigskip} if you want bigger space.
+%                      * ADD: macro \SetKwIf defines in addition a new macro \uElse  (depending on wat name you
+%                             have given in #2 arg).
+%                      * ADD: macro \SetKwIfElseIf defines in addition a new macro \uElse and \ugElseIf (depending
+%                             on what name you have given in #2 and #3 arg).
+%                      * Change: baseline of algorithm is now top, so two algorithms can be put side by side.
+%                      * FIX: Compatibility with color package solved. The problem was due to a redefinition of
+%                             standard macros by color package. This solves compatibility problem with other
+%                             packages as pstcol or colortbl. (notified by Dirk Fressmann, Antti Tarvainen and Koby
+%                             Crammer)
+%                      * Fix: extra little shift to the right with boxed style algorithm removed (notified by
+%                             P. Tanovski)
+%                      * Fix: algoln option was buggy (notified bye Jiaying Shen)
+%                      * Fix: german and portuges option didn't work due to bad typo (notified by Martin Sievers,
+%                             Thorsten Vitt and Jeronimo Pellegrini)
+%                      
+%   - February 13 2004 - revision 3.0 -
+%                      * Major revision which makes the package independent from float.sty, so now
+%                        - algorithm* works better, in particular can be used in multicols environments
+%                        - (known bug corrected)
+%                          [H] works now for all sort of environment but is handled differently for classic
+%                          environment and star environment (algorithm, figure, procedure and function). For star
+%                          environment, H acts like for classical figure environment, so it doesn't stay here
+%                          absolutely.
+%                        - (known bug corrected)
+%                          you can use now floatflt package with algorithm package and even with figure
+%                          option. Beware that if you want to put an algorithm inside a floatingfigure, it cannot
+%                          be floating, so [H] is required and then figure option should not be used, since
+%                          standard figure[H] are still floating with LaTeX.
+%                      * boxruled: a new style added. Possible now since no style no more defined by the float
+%                        package.
+%                      * nocaptionofalgo: dosen't print Algorithm #: in the caption for algorithm in ruled or
+%                        algoruled style.
+%                        note: this is just documentation of a macro which was already in the package.
+%   - December 14 2003 - revision 2.52 -
+%                      * output message shorter
+%                      * french keyword macro \PourTous was missing for longend option, it has been added.
+%                      * TitleofAlgo prints Function or Procedure in corresponding environments.
+%
+%   - October 27 2003  - revision 2.51 - Revision submitted to CTAN archive
+%                      * correction of a minor which make caption in procedure
+%                        and function to be blanck with pdfscreen package
+%                        (thanks to Joel Gossens for the notification)
+%                      * add two internal definition to avoid some errors when
+%                        used with Hyperref package (Hyperref package need to
+%                        define new counter macro from existing ones, and
+%                        don't do it for algorithm2e package, so we do it)
+%
+%   - October 17 2003  - revision 2.50 - first revision for CTAN archive
+%                      * add \AlFnt and \SetAlFnt{font} macros: \AlFnt is used at the beginning of the caption and
+%                        the body of algorithm in order to define the fonts used for typesetting algorithms. You
+%                        can use it elsewhere you want to typeset text as algorithm. For example you can do
+%                        \SetAlFnt{\small\sf} to have algorithms typeset in small sf font. Default is nothing so
+%                        algorithm is typeset as the text of the document.
+%                      * add \AlTitleFnt{text} and \SetAlTitleFnt{font} macros: The {Algorithm: } in the caption is
+%                        typeset with \AlTitleFnt{Algorithm:}. You can use it to have text typeset as {Algorithm:}
+%                        of captions. Default is textbf.  Default can be redefined by \SetAlTitleFnt{font}, for
+%                        example you can do \SetAlTitleFnt{emph}
+%                      * add CommentSty typo for text comment.  
+%                      * add some compatibility with hyperref package (still an error on multiply defined refs but
+%                        pdf correctly generated)
+%                      * flush text to left in order to have correct indentation even with class as amsart which
+%                        center all figures
+%                      * add german, portuguese and czech options for title of algorithms and typo.
+%                      * add portuguese translation of predefined keywords * add czech translation of some
+%                        predefined keywords
+%
+%   - December 23 2002 - revision 2.40
+%                      * add some french keyword missing
+%                      * add function* and procedure* environment like algorithme* environment: print in one column
+%                        even if twocolumn option is specified for the document.
+%                      * add a new macro \SetKwComment to define macro which writes comments in the text. First
+%                        argument is the name of the macro, second is the text put before the comment, third is the
+%                        text put at the end of the comment.Default are \tcc and \tcp
+%                      * add new options to change the way algo are numbered:
+%                        [algopart] algo are numbered within part (counter must exist)
+%                        [algochapter] algo are numbered within chapter
+%                        [algosection] algo are numbered within section
+%
+%   - March 27 2002   - revision 2.39
+%                      * Gilles Geeraerts: added the \SetKwIfElseIf to manage
+%                        if (c)
+%                             i;
+%                        else if (c)
+%                             i;
+%                        ...
+%                        else
+%                             i;
+%                        end
+%                      * Also added \gIf \gElseIf \gElse.
+%
+%   - January 02 2001 - revision 2.38
+%                      * bugs related to the caption in procedure and function
+%                        environment are corrected.
+%                      * bug related to option noend (extra vertical space added
+%                        after block command as If or For) is corrected.
+%                      * czech option language added (thanks to Libor Bus: l.bus@sh.cvut.cz).
+%  
+%   - October 16 2000 - revision 2.37
+%                      * option algo2e added: change the name of environment
+%                        algorithm into algorithm2e. So allow to use the package
+%                        with some journal style which already define an algorithm
+%                        environment.
+%  
+%   - September 13 2000 - revision 2.36
+%                      * option slide added: require package color
+%                      * Hack for slide class in order to have correct
+%                        margins
+%  
+%   - November 25 1999 - revision 2.35
+%                      * revision number match RCS number
+%                      * Thanks to David A. Bader, a new option is added:
+%                        noend: no end keywords are printed.
+%  
+%   - November 19 1999 - revision 2.32
+%                      * minor bug on longend option corrected.
+%  
+%   - August 26 1999 - revision 2.31
+%                      * add an option: figure
+%                        this option makes algorithms be figure and so are numbered
+%                        as figures, have Figure as caption and are put in 
+%                        the \listoffigures
+%  
+%   - January 21 1999 - revision 2.3 beta
+%                    add 2 new environments: procedure and function.
+%                    These environments works like algorithm environment but:
+%                    - the ruled (or algoruled) style is imperative.
+%                    - the caption now writes Procedure name....
+%                    - the syntax of the \caption command is restricted as
+%                      follow: you MUST put a name followed by 2 braces like
+%                      this ``()''. You can put arguments inside the braces and
+%                      text after. If no argument is given, the braces will be
+%                      removed in the title. 
+%                    - label now puts the name (the text before the braces in the
+%                      caption) of the procedure or function as reference (not
+%                      the number like a classic algorithm environment).
+%                    There are also two new styles: ProcNameSty and
+%                    ProcArgSty. These style are by default the same as FuncSty
+%                    and ArgSty but are used in the caption of a procedure or a
+%                    function.
+%                    
+%   - November 28 1996 - revision 2.22
+%                    add a new macro \SetKwInParam{arg1}{arg2}{arg3}:
+%                    it defines a macro \arg1{name}{arg} which prints name in keyword
+%                    style followed byt arg surrounded by arg2 and arg3. The main
+%                    application is to a function working as \SetKwInput to be used
+%                    in the head of the algorithm. For example
+%                    \SetKwInParam{Func}{(}{)} allows
+%                    \Func{functionname}{list of arguments} which prints:
+%                    \KwSty{functioname(}list of arguments\KwSty{)}
+%       
+%
+%   - November 27 1996 - revision 2.21:
+%                    minor bug in length of InOut boxes fixed.
+%                    add algorithm* environment.
+%
+%   - July 12 1996 - revision 2.2: \SetArg and \SetKwArg macros removed.
+%                        
+%                    \SetArg has been removed since it never has been
+%                    documented.
+%                    \SetKwArg has been removed since \SetKw can now
+%                    take an argument in order to be consistent with
+%                    \SetKwData and \SetKwFunction macros.
+%
+%   - July 04 1996 - revision 2.1: still more LaTeX2e! Minor compatibility break
+%
+%                    Macros use now \newcommand instead of \def, use of \setlength, 
+%                    \newsavebox, ... and other LaTeX2e specific stuff.
+%                    The compatibility break:
+%                    - \SetData becomes \SetKwData to be more consistent. So the old 
+%                      \SetKwData becomes \SetKwInput
+%                    - old macros \titleofalgo, \Freetitleofalgo and \freetitleofalgo
+%                      from LaTeX209 version which did print a warning message and call 
+%                      \Titleofalgo in version 2.0 are now removed!
+%
+%   - March 13 1996 - revision 2.0: first official major revision.
+%   
+%
+%%%%%%%%%%%%%%
+%
+%   Known bugs: 
+%   -----------
+%   - horizontal spacing (indent) doesn't work with revtex4 class.
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% for more complete informations you can see algorithm2e.tex
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%% Identification Part %%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+\NeedsTeXFormat{LaTeX2e}[1994/12/01]
+%
+\ProvidesPackage{algorithm2e}[2013/01/06 v5.00 algorithms environments]
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%% Initial Code %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+\@makeother\*% some package redefined it as a letter (as color.sty)
+\def\@firstword#1 #2\@nil{#1}% an useful fonction
+%%%%%%% Utilities:
+% \ifArgumentEmpty<c><t><e> ; if c is empty, i.e. {}, then t, else e.
+%    Function used internally, but may as well expose it to the user; it's useful
+\long\def\ifArgumentEmpty#1{\bgroup
+	\catcode`\Q=3
+	\catcode`\T=3
+	\long\def\@tempa##1##2Q##3##4##5T{##4}%
+	\xdef\@tempa{\@tempa#1QQ{\noexpand\@secondoftwo}{\noexpand\@firstoftwo}T}%
+\egroup\@tempa}
+%
+% \algocf@longdef -> shorthand to reduce
+%    \expandafter\long\expandafter\def
+% to
+%    \expandafter\algocf@longdef
+% may look insignificant, but reads that much better ;)
+\def\algocf@longdef{\long\def}
+%
+% \algocf@newcommand (and helper \algocf@new@command) behaves like LaTeX's newcommand,
+% with two differences:
+%  - the argument is not "\<name>", but rather "<name>"; i.e. one level of indirection
+%  - if the command exists already, then \renewcommand, rather than \newcommand
+\def\algocf@newcommand#1{\expandafter\algocf@new@command\csname#1\endcsname}
+\def\algocf@new@command#1{%
+	\begingroup \escapechar\m@ne\xdef\@gtempa{{\string#1}}\endgroup
+	\expandafter\@ifundefined\@gtempa\newcommand\renewcommand#1}%
+%
+% \algocf@newcmdside<name><arity><body>
+%   The largest time-saver; many commands we define have the pattern:
+%     \<name>(<side_text>)<argX><argY>...
+%   where "(<side_text>)" is optional. By defining them with this function,
+%   the arguments are parsed and renumbered, i.e. the body works as if the
+%   command was:
+%     \<name><side_text><argX><argY>...
+%   and can use \ifArgumentEmpty to see whether its #1 exists (default case
+%   for the side text is (), so there's no difference between calling
+%     \foo{bar}
+%   or
+%     \foo(){bar}
+%   Technically this is new behaviour, but it shouldn't really occur...
+\algocf@longdef\algocf@newcmdside#1#2#3{%
+	\expandafter\def\csname#1\endcsname{%
+		\@ifnextchar({\csname algocf@#1strip\endcsname}{\csname algocf@#1strip\endcsname()}%
+	}%
+	\expandafter\algocf@longdef\csname algocf@#1strip\endcsname(##1){\csname algocf@#1main\endcsname{##1}}%
+	\algocf@newcommand{algocf@#1main}[#2]{#3}%
+}
+%
+% \algocf@newcmdsides<name><arity><body><tail><closing>
+%   Like the command above, but with an optional side text at the end
+%   of the command as well, i.e.:
+%     \<name>(<side_text>)<argX><argY>(<end_text>)
+%   It may be a bit confusing that <arity> doesn't count <end_text>,
+%   but since it is for internal use, the naming can be a little more
+%   fuzzy. This function behaves as if:
+%     <body'> = <body><if end_text: tail{end_text}><closing>
+\algocf@longdef\algocf@newcmdsides#1#2#3#4#5{%
+	\expandafter\def\csname#1\endcsname{%
+		\@ifnextchar({\csname algocf@#1strip\endcsname}{\csname algocf@#1strip\endcsname()}%
+	}%
+	\expandafter\algocf@longdef\csname algocf@#1strip\endcsname(##1){\csname algocf@#1main\endcsname{##1}}%
+	\algocf@newcommand{algocf@#1main}[#2]{#3\@ifnextchar({\csname algocf@#1end\endcsname}{#4#5}}%
+	\expandafter\algocf@longdef\csname algocf@#1end\endcsname(##1){#4{##1}\strut\par}%
+}%
+%
+% definition of commands which can be redefined in options of the package.
+%
+\newcounter{AlgoLine}%
+\setcounter{AlgoLine}{0}%
+%
+\newcommand{\algocf@algocfref}{\relax}%
+\newcommand{\listalgorithmcfname}{}%
+\newcommand{\algorithmcfname}{}%
+\@ifundefined{algorithmautorefname}{\newcommand{\algorithmautorefname}{algorithm}}{\renewcommand{\algorithmautorefname}{algorithm}}%
+\newcommand{\algorithmcflinename}{}%
+\newcommand{\algocf@typo}{}%
+\newcommand{\@algocf@procname}{}\newcommand{\procedureautorefname}{}%
+\newcommand{\SetAlgoProcName}[2]{\renewcommand{\@algocf@procname}{#1}\renewcommand{\procedureautorefname}{#2}}%
+\newcommand{\@algocf@funcname}{}\newcommand{\functionautorefname}{}%
+\newcommand{\SetAlgoFuncName}[2]{\renewcommand{\@algocf@funcname}{#1}\renewcommand{\functionautorefname}{#2}}%
+\newcommand{\@algocf@titleofalgoname}{\algorithmcfname}%
+\newcommand{\@algocf@algotitleofalgo}{%
+  \renewcommand{\@algocf@titleofalgoname}{\algorithmcfname}}%
+\newcommand{\@algocf@proctitleofalgo}{%
+  \renewcommand{\@algocf@titleofalgoname}{\algocf@procname}}%
+%
+\newcommand{\algocf@style}{plain}%
+\newcommand{\@ResetCounterIfNeeded}{}%
+\newcommand{\@titleprefix}{}%
+%
+\newcommand{\algocf@numbering}[1]{\newcommand{\algocf@within}{#1}}%
+%
+\newcommand{\defaultsmacros@algo}{\algocf@defaults@shortend}%
+%
+\newcommand{\algocf@list}{loa}%
+\newcommand{\algocf@float}{algocf}%
+%
+\newcommand{\algocf@envname}{algorithm}%
+\newcommand{\algocf@listofalgorithms}{listofalgorithms}%
+%
+%
+%% redefine chapter so that it adds a vspace in the loa as the original does for lof and lot
+% \let\algocf@original@chapter=\chapter%
+% \def\chapter{\expandafter\addtocontents{loa}{\protect\addvspace{10\p@}}\algocf@original@chapter}%
+%
+% bug correction with hyperref submitted by Hubert Meier
+\begingroup\expandafter\expandafter\expandafter\endgroup 
+\expandafter\ifx\csname @chapter\endcsname\relax\else 
+% \let\algocf@original@chapter=\chapter% 
+% \def\chapter{\addtocontents{loa}{\protect\addvspace{10\p@}}\algocf@original@chapter}% 
+\let\algocf@original@chapter=\@chapter% 
+\def\@chapter[#1]#2{\algocf@original@chapter[#1]{#2}\addtocontents{loa}{\protect\addvspace{10\p@}}}% 
+\fi
+%
+%% if@restonecol is defined in article and book but some other classes don't define it and we need it, so we do
+\ifx\if@restonecol\relax\else\newif\if@restonecol\fi%
+%
+%
+%%%%%%%%%%%%%%%%%%%%%% Declaration of Options %%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+\RequirePackage{ifthen}%
+%
+\newboolean{algocf@displayblockmarkers}\setboolean{algocf@displayblockmarkers}{false}%
+\DeclareOption{displayblockmarkers}{%
+  \setboolean{algocf@displayblockmarkers}{true}%
+}
+%
+\newboolean{algocf@nokwfunc}\setboolean{algocf@nokwfunc}{false}%
+\DeclareOption{nokwfunc}{%
+  \setboolean{algocf@nokwfunc}{true}%
+}%
+%
+\newboolean{algocf@oldcommands}\setboolean{algocf@oldcommands}{false}%
+\DeclareOption{oldcommands}{%
+  \setboolean{algocf@oldcommands}{true}%
+}%
+%
+\newboolean{algocf@leftlinenumber}\setboolean{algocf@leftlinenumber}{true}%
+\newcommand{\setLeftLinesNumbers}{\setboolean{algocf@leftlinenumber}{true}}%
+\newcommand{\setRightLinesNumbers}{\setboolean{algocf@leftlinenumber}{false}}%
+\DeclareOption{rightnl}{%
+  \setRightLinesNumbers%
+}%
+%
+\newboolean{algocf@endfloat}\setboolean{algocf@endfloat}{false}%
+\DeclareOption{endfloat}{%
+  \setboolean{algocf@endfloat}{true}%
+  \newcounter{postalgo}\setcounter{postalgo}{0}%
+}%
+%
+\newboolean{algocf@procnumbered}\setboolean{algocf@procnumbered}{false}%
+\DeclareOption{procnumbered}{%
+  \setboolean{algocf@procnumbered}{true}%
+}%
+%
+\DeclareOption{algo2e}{%
+  \renewcommand{\algocf@envname}{algorithm2e}%
+  \renewcommand{\algocf@listofalgorithms}{listofalgorithmes}%
+}%
+%
+\newboolean{algocf@slide}\setboolean{algocf@slide}{false}%
+\DeclareOption{slide}{%
+  \setboolean{algocf@slide}{true}%
+}%
+%
+\DeclareOption{figure}{%
+\renewcommand{\algocf@list}{lof}%
+\renewcommand{\algocf@float}{figure}%
+}%
+%
+\newboolean{algocf@optonelanguage}\setboolean{algocf@optonelanguage}{false}%
+\DeclareOption{onelanguage}{\setboolean{algocf@optonelanguage}{true}}%
+%
+\newcommand{\algocf@languagechoosen}{english}%
+%
+\DeclareOption{english}{%
+\renewcommand{\listalgorithmcfname}{List of Algorithms}%
+\renewcommand{\algorithmcfname}{Algorithm}%
+\renewcommand{\algorithmautorefname}{algorithm}%
+\renewcommand{\algorithmcflinename}{line}%
+\renewcommand{\algocf@typo}{}%
+\renewcommand{\@algocf@procname}{Procedure}%
+\renewcommand{\@algocf@funcname}{Function}%
+\renewcommand{\procedureautorefname}{procedure}%
+\renewcommand{\functionautorefname}{function}%
+\renewcommand{\algocf@languagechoosen}{english}%
+}%
+%
+\DeclareOption{french}{%
+\renewcommand{\listalgorithmcfname}{Liste des Algorithmes}%
+\renewcommand{\algorithmcfname}{Algorithme}%
+\renewcommand{\algorithmautorefname}{algorithme}%
+\renewcommand{\algorithmcflinename}{ligne}%
+\renewcommand{\algocf@typo}{\ }%
+\renewcommand{\@algocf@procname}{Proc\'edure}%
+\renewcommand{\@algocf@funcname}{Fonction}%
+\renewcommand{\procedureautorefname}{proc\'edure}%
+\renewcommand{\functionautorefname}{fonction}%
+\renewcommand{\algocf@languagechoosen}{french}%
+}%
+%
+\DeclareOption{czech}{%
+\renewcommand{\listalgorithmcfname}{Seznam algoritm\v{u}}%
+\renewcommand{\algorithmcfname}{Algoritmus}%
+\renewcommand{\algorithmautorefname}{\algorithmcfname}%
+\renewcommand{\algorithmcflinename}{Radek}%
+\renewcommand{\algocf@typo}{}%
+\renewcommand{\@algocf@procname}{Procedura}%
+\renewcommand{\@algocf@funcname}{Funkce}%
+\renewcommand{\procedureautorefname}{\@algocf@procname}%
+\renewcommand{\functionautorefname}{\@algocf@funcname}%
+\renewcommand{\algocf@languagechoosen}{czech}%
+}%
+%
+\DeclareOption{german}{%
+\renewcommand{\listalgorithmcfname}{Liste der Algorithmen}%
+\renewcommand{\algorithmcfname}{Algorithmus}%
+\renewcommand{\algorithmautorefname}{\algorithmcfname}%
+\renewcommand{\algorithmcflinename}{Zeile}%
+\renewcommand{\algocf@typo}{\ }%
+\renewcommand{\@algocf@procname}{Prozedur}%
+\renewcommand{\@algocf@funcname}{Funktion}%
+\renewcommand{\procedureautorefname}{\@algocf@procname}%
+\renewcommand{\functionautorefname}{\@algocf@funcname}%
+\renewcommand{\algocf@languagechoosen}{german}%
+}%
+%
+\DeclareOption{ngerman}{%
+\renewcommand{\listalgorithmcfname}{Liste der Algorithmen}%
+\renewcommand{\algorithmcfname}{Algorithmus}%
+\renewcommand{\algorithmautorefname}{\algorithmcfname}%
+\renewcommand{\algorithmcflinename}{Zeile}%
+\renewcommand{\algocf@typo}{\ }%
+\renewcommand{\@algocf@procname}{Prozedur}%
+\renewcommand{\@algocf@funcname}{Funktion}%
+\renewcommand{\procedureautorefname}{\@algocf@procname}%
+\renewcommand{\functionautorefname}{\@algocf@funcname}%
+\renewcommand{\algocf@languagechoosen}{german}%
+}%
+%
+\DeclareOption{portuguese}{%
+\renewcommand{\listalgorithmcfname}{Lista de Algoritmos}%
+\renewcommand{\algorithmcfname}{Algoritmo}%
+\renewcommand{\algorithmautorefname}{algoritmo}%
+\renewcommand{\algorithmcflinename}{linha}%
+\renewcommand{\algocf@typo}{}%
+\renewcommand{\@algocf@procname}{Procedimento}%
+\renewcommand{\@algocf@funcname}{Fun\c{c}\~{a}o}%
+\renewcommand{\procedureautorefname}{procedimento}%
+\renewcommand{\functionautorefname}{fun\c{c}\~{a}o}%
+\renewcommand{\algocf@languagechoosen}{portuguese}%
+}%
+%
+\DeclareOption{italiano}{%
+\renewcommand{\listalgorithmcfname}{Elenco degli algoritmi}%
+\renewcommand{\algorithmcfname}{Algoritmo}%
+\renewcommand{\algorithmautorefname}{algoritmo}%
+\renewcommand{\algorithmcflinename}{riga}%
+\renewcommand{\algocf@typo}{}%
+\renewcommand{\@algocf@procname}{Procedura}%
+\renewcommand{\@algocf@funcname}{Funzione}%
+\renewcommand{\procedureautorefname}{procedura}%
+\renewcommand{\functionautorefname}{funzione}%
+\renewcommand{\algocf@languagechoosen}{italiano}%
+}%
+\DeclareOption{spanish}{%
+\renewcommand{\listalgorithmcfname}{\'Indice de algoritmos}%
+\renewcommand{\algorithmcfname}{Algoritmo}%
+\renewcommand{\algorithmautorefname}{algoritmo}%
+\renewcommand{\algorithmcflinename}{l\'inea}%
+\renewcommand{\algocf@typo}{}%
+\renewcommand{\@algocf@procname}{Procedimiento}%
+\renewcommand{\@algocf@funcname}{Funci\'on}%
+\renewcommand{\procedureautorefname}{procedimiento}%
+\renewcommand{\functionautorefname}{funci\'on}%
+\renewcommand{\algocf@languagechoosen}{spanish}%
+}%
+\DeclareOption{slovak}{%
+\renewcommand{\listalgorithmcfname}{Zoznam algoritmov}%
+\renewcommand{\algorithmcfname}{Algoritmus}%
+\renewcommand{\algorithmautorefname}{\algorithmcfname}%
+\renewcommand{\algorithmcflinename}{Radek}%
+\renewcommand{\algocf@typo}{}%
+\renewcommand{\@algocf@procname}{Proced\'{u}ra}%
+\renewcommand{\@algocf@funcname}{Funkcia}%
+\renewcommand{\procedureautorefname}{\@algocf@procname}%
+\renewcommand{\functionautorefname}{\@algocf@funcname}%
+\renewcommand{\algocf@languagechoosen}{slovak}%
+}%
+%
+\DeclareOption{croatian}{%
+\renewcommand{\listalgorithmcfname}{Popis algoritama}%
+\renewcommand{\algorithmcfname}{Algoritam}%
+\renewcommand{\algorithmautorefname}{\algorithmcfname}%
+\renewcommand{\algorithmcflinename}{linija}%
+\renewcommand{\algocf@typo}{}%
+\renewcommand{\@algocf@procname}{Procedura}%
+\renewcommand{\@algocf@funcname}{Funkcija}%
+\renewcommand{\procedureautorefname}{\@algocf@procname}%
+\renewcommand{\functionautorefname}{\@algocf@funcname}%
+\renewcommand{\algocf@languagechoosen}{croatian}%
+}%
+%
+% OPTIONs plain, boxed, ruled, algoruled & boxruled
+%
+\newcommand{\algocf@style@plain}{\renewcommand{\algocf@style}{plain}}%
+\newcommand{\algocf@style@boxed}{\renewcommand{\algocf@style}{boxed}}%
+\newcommand{\algocf@style@ruled}{\renewcommand{\algocf@style}{ruled}}%
+\newcommand{\algocf@style@algoruled}{\renewcommand{\algocf@style}{algoruled}}%
+\newcommand{\algocf@style@boxruled}{\renewcommand{\algocf@style}{boxruled}}%
+\newcommand{\algocf@style@tworuled}{\renewcommand{\algocf@style}{tworuled}}%
+\newcommand{\algocf@style@plainruled}{\renewcommand{\algocf@style}{plainruled}}%
+\newcommand{\RestyleAlgo}[1]{\csname algocf@style@#1\endcsname}%
+\DeclareOption{plain}{\algocf@style@plain}%
+\DeclareOption{plainruled}{\algocf@style@plainruled}%
+\DeclareOption{boxed}{\algocf@style@boxed}%
+\DeclareOption{ruled}{\algocf@style@ruled}%
+\DeclareOption{algoruled}{\algocf@style@algoruled}%
+\DeclareOption{boxruled}{\algocf@style@boxruled}%
+\DeclareOption{tworuled}{\algocf@style@tworuled}%
+%
+% OPTIONs algopart,algochapter & algosection
+%
+\DeclareOption{algopart}{\algocf@numbering{part}}%       %algo part numbered
+\DeclareOption{algochapter}{\algocf@numbering{chapter}}% %algo chapter numbered
+\DeclareOption{algosection}{\algocf@numbering{section}}% %algo section numbered
+%
+% OPTIONs resetcount & noresetcount
+%
+\DeclareOption{resetcount}{\renewcommand{\@ResetCounterIfNeeded}{\setcounter{AlgoLine}{0}}}%
+\DeclareOption{noresetcount}{\renewcommand{\@ResetCounterIfNeeded}{}}%
+%
+% OPTION linesnumbered
+%
+\newboolean{algocf@linesnumbered}\setboolean{algocf@linesnumbered}{false}%
+\newcommand{\algocf@linesnumbered}{\relax}%
+\DeclareOption{linesnumbered}{%
+  \setboolean{algocf@linesnumbered}{true}%
+  \renewcommand{\algocf@linesnumbered}{\everypar={\nl}}%
+}%
+%
+% OPTION linesnumberedhidden
+%
+\DeclareOption{linesnumberedhidden}{%
+  \setboolean{algocf@linesnumbered}{true}%
+  \renewcommand{\algocf@linesnumbered}{\everypar{\stepcounter{AlgoLine}}}%
+}%
+%
+% OPTION commentsnumbered inoutnumbered
+%
+\newboolean{algocf@commentsnumbered}\setboolean{algocf@commentsnumbered}{false}%
+\DeclareOption{commentsnumbered}{\setboolean{algocf@commentsnumbered}{true}}%
+\newboolean{algocf@inoutnumbered}\setboolean{algocf@inoutnumbered}{false}%
+\DeclareOption{inoutnumbered}{\setboolean{algocf@inoutnumbered}{true}}%
+%
+% OPTIONs titlenumbered & titlenotnumbered
+%
+\DeclareOption{titlenumbered}{%
+  \renewcommand{\@titleprefix}{%
+    \refstepcounter{\algocf@float}%
+    \AlTitleSty{\AlTitleFnt\@algocf@titleofalgoname\ \expandafter\csname the\algocf@float\endcsname\algocf@typo: }%
+  }%
+}%
+%
+\DeclareOption{titlenotnumbered}{\renewcommand{\@titleprefix}{%
+    \AlTitleSty{\AlTitleFnt\@algocf@titleofalgoname\algocf@typo: }}%
+}%
+%
+% OPTIONs algonl
+% line numbered with the counter of the algorithm
+%
+\DeclareOption{algonl}{\renewcommand{\theAlgoLine}{\expandafter\csname the\algocf@float\endcsname.\arabic{AlgoLine}}}%
+%
+% OPTIONs lined, vlined & noline
+%
+\DeclareOption{lined}{\AtBeginDocument{\SetAlgoLined}}%   \SetAlgoLined
+\DeclareOption{vlined}{\AtBeginDocument{\SetAlgoVlined}}% \SetAlgoVlined
+\DeclareOption{noline}{\AtBeginDocument{\SetAlgoNoLine}}%\SetAlgoNoLine (default)
+%
+% OPTIONs longend, shotend & noend
+%
+\DeclareOption{longend}{\AtBeginDocument{\SetAlgoLongEnd}}%  \SetAlgoLongEnd
+\DeclareOption{shortend}{\AtBeginDocument{\SetAlgoShortEnd}}%\SetAlgoShortEnd
+\DeclareOption{noend}{\AtBeginDocument{\SetAlgoNoEnd}}%      \SetAlgoNoEnd
+%
+\DeclareOption{nosemicolon}{\AtBeginDocument{\DontPrintSemicolon}}%      \SetAlgoNoEnd
+%
+% OPTION dotoc
+%
+\newboolean{algocf@dotocloa}\setboolean{algocf@dotocloa}{false}%
+\DeclareOption{dotocloa}{%
+  \setboolean{algocf@dotocloa}{true}%
+}
+%
+% OPTION comments
+%
+\newboolean{algocf@optfillcomment}\setboolean{algocf@optfillcomment}{true}%
+\DeclareOption{nofillcomment}{%
+  \setboolean{algocf@optfillcomment}{false}%
+}%
+\DeclareOption{fillcomment}{%
+  \setboolean{algocf@optfillcomment}{true}%
+}%
+%
+% OPTION sidecommments
+%
+\newboolean{algocf@scleft}\setboolean{algocf@scleft}{false}%
+\DeclareOption{scleft}{%
+  \setboolean{algocf@scleft}{true}%
+}%
+\DeclareOption{sright}{% default
+  \setboolean{algocf@scleft}{false}%
+}%
+%
+% OPTION norelsize
+%
+\newboolean{algocf@norelsize}\setboolean{algocf@norelsize}{false}%
+\DeclareOption{norelsize}{%
+  \setboolean{algocf@norelsize}{true}%
+}%
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%% Execution of Options %%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+\ExecuteOptions{english,plain,resetcount,titlenotnumbered,lined,shortend}%
+%
+\ProcessOptions%
+%
+\@algocf@algotitleofalgo% fix name for \TitleOfAlgo to \algorithmcfname by default
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%% Package Loading %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%
+\RequirePackage{xspace}%
+%
+\ifthenelse{\boolean{algocf@endfloat}}{%
+  \RequirePackage{endfloat}%
+}{\relax}%
+%
+\ifthenelse{\boolean{algocf@norelsize}}{%
+  \newcommand{\relsize}[1]{\scriptsize}%
+}{%
+  \RequirePackage{relsize}%
+}%
+%
+\ifthenelse{\boolean{algocf@slide}}{\RequirePackage{color}}{}%
+%
+%
+\AtEndOfPackage{%
+  \ifthenelse{\boolean{algocf@dotocloa}}{%
+    \renewcommand{\listofalgorithms}{\tocfile{\listalgorithmcfname}{loa}}%
+  }{\relax}%
+}%
+%
+% if loa in toc required, load tocbibind package if not already done.
+\ifthenelse{\boolean{algocf@dotocloa}}{%
+  \ifx\@tocextra\undefined%
+  \RequirePackage{tocbibind}%
+  \fi%
+}{\relax}%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Main Part %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+\newcommand{\algocf@name}{algorithm2e}%
+\newcommand{\algocf@date}{january 06 2013}%
+\newcommand{\algocf@version}{Release 5.0}%
+\newcommand{\algocf@id}{\algocf@version\space -- \algocf@date\space --}%
+\typeout{********************************************************^^JPackage `\algocf@name'\space\algocf@id^^J%
+         - algorithm2e-announce@lirmm.fr  mailing list for announcement about releases^^J%
+         - algorithm2e-discussion@lirmm.fr mailing list for discussion about package^^J%
+         subscribe by emailing sympa@lirmm.fr with 'subscribe <list> <firstname name>'^^J%
+         - Author: Christophe Fiorio (cfiorio@um2.fr)^^J********************************************************}%
+%%
+%%
+%%
+%%
+%%
+%%
+%%%% hyperref compatibility tricks: Hyperref package defines H counters from
+   % standard counters (i.e \theHpage from \thepage) and check some particular
+   % counters of some packages, unfortunately it doesn't do the same for
+   % algorithm2e package but act as Hcounter was defined. To avoid errors we
+   % defined \theHalgocf ourself
+%%%%
+%
+\@ifundefined{theHalgocf}{\def\theHalgocf{\thealgocf}}{}%
+\@ifundefined{theHAlgoLine}{\def\theHAlgoLine{\theAlgoLine}}{}%
+\@ifundefined{theHalgocfproc}{\def\theHalgocfproc{0}}{}%
+\@ifundefined{theHalgocffunc}{\def\theHalgocffunc{0}}{}%
+\@ifundefined{toclevel@algocf}{\def\toclevel@algocf{0}}{}%
+%
+% autoref from hyperref needs an autorefname, so we give it.
+\def\AlgoLineautorefname{\algorithmcflinename}%
+\def\algocfautorefname{\algorithmautorefname}%
+\def\algocfprocautorefname{\procedureautorefname}%
+\def\algocffuncautorefname{\functionautorefname}%
+%%
+%%
+%%
+\newcommand{\@defaultskiptotal}{0.5em}%
+\newskip\skiptotal\skiptotal=0.5em%
+\newskip\skiplinenumber\skiplinenumber=\hsize\advance\skiplinenumber by-\skiptotal%
+\newskip\skiprule%
+\newskip\skiphlne%
+\newskip\skiptext%
+\newskip\skiplength%
+\newskip\algomargin%
+\newskip\skipalgocfslide\skipalgocfslide=1em%
+\newdimen\algowidth%
+\newdimen\inoutsize%
+\newdimen\inoutindent%
+\newdimen\interspacetitleruled\setlength{\interspacetitleruled}{2pt}%
+\newdimen\interspacealgoruled\setlength{\interspacealgoruled}{2pt}%
+\newdimen\interspacetitleboxruled\setlength{\interspacetitleboxruled}{2\lineskip}%
+%
+\newcommand{\@algoskip}{\smallskip}%
+\newcommand{\SetAlgoSkip}[1]{\renewcommand{\@algoskip}{\csname#1\endcsname}}%
+\newcommand{\@algoinsideskip}{\relax}%
+\newcommand{\SetAlgoInsideSkip}[1]{\renewcommand{\@algoinsideskip}{\csname#1\endcsname}}%
+%
+\newsavebox{\algocf@inoutbox}%
+\newsavebox{\algocf@inputbox}%
+%%
+%%
+\newcommand{\arg@e}{}%
+\newcommand{\arg@space}{\ }%
+\newcommand{\BlankLine}{\vskip 1ex}%
+%%
+\newcommand{\vespace}{1ex}%
+\newcommand{\SetInd}[2]{%
+\skiprule=#1%
+\skiptext=#2%
+\skiplength=\skiptext\advance\skiplength by \skiprule\advance\skiplength by 0.4pt}%
+\SetInd{0.5em}{1em}
+\algomargin=\leftskip\advance\algomargin by \parindent%
+\newcommand{\IncMargin}[1]{\advance\algomargin by #1}%
+\newcommand{\DecMargin}[1]{\advance\algomargin by -#1}%
+\newcommand{\SetNlSkip}[1]{%
+  \renewcommand{\@defaultskiptotal}{#1}%
+  \setlength{\skiptotal}{#1}}%
+%%
+\newskip\AlCapSkip\AlCapSkip=0ex%
+\newskip\AlCapHSkip\AlCapSkip=0ex%
+\newcommand{\SetAlCapSkip}[1]{\setlength{\AlCapSkip}{#1}}%
+\newcommand{\SetAlCapHSkip}[1]{\setlength{\AlCapHSkip}{#1}}%
+\SetAlCapHSkip{.5\algomargin}%
+%%
+%%
+\newskip\algoskipindent
+\newcommand{\algocf@adjustskipindent}{%
+  \algoskipindent=\skiprule%
+  \advance\algoskipindent by \skiptext\advance\algoskipindent by 0.4pt}
+\algocf@adjustskipindent%
+%
+\newcommand{\Indentp}[1]{\advance\leftskip by #1}%
+\newcommand{\Indp}{\algocf@adjustskipindent\advance\leftskip by \algoskipindent}
+\newcommand{\Indpp}{\advance\leftskip by 0.5em}%
+\newcommand{\Indm}{\algocf@adjustskipindent\advance\leftskip by -\algoskipindent}
+\newcommand{\Indmm}{\advance\leftskip by -0.5em}%
+%%
+%%
+%% Line Numbering
+%%
+%%
+% number line style
+\newcommand{\algocf@nlrelsize}{-2}\newcommand{\SetAlgoNlRelativeSize}[1]{\renewcommand{\algocf@nlrelsize}{#1}}%
+\newcommand{\NlSty}[1]{\textnormal{\textbf{\relsize{\algocf@nlrelsize}#1}}}% default definition
+\newcommand{\SetNlSty}[3]{\renewcommand{\NlSty}[1]{\textnormal{\csname#1\endcsname{\relsize{\algocf@nlrelsize}#2##1#3}}}}%
+%
+% nl definitions
+%
+\newsavebox{\algocf@nlbox}%
+\newcommand{\algocf@printnl}[1]{%
+  \ifthenelse{\boolean{algocf@leftlinenumber}}{%
+    \skiplinenumber=\skiptotal\advance\skiplinenumber by\leftskip%
+    \strut\raisebox{0pt}{\llap{\NlSty{#1}\kern\skiplinenumber}}\ignorespaces%
+  }{%
+    \sbox\algocf@nlbox{\NlSty{#1}}%
+    \skiplinenumber=\hsize\advance\skiplinenumber by-\leftskip\advance\skiplinenumber by-\skiptext%
+    \advance\skiplinenumber by\algomargin\advance\skiplinenumber by.3em\advance\skiplinenumber by-\wd\algocf@nlbox%
+    % to handle particular case of until: printnl is after 'until' keyword has been writen, so we need to substract length of this keyword
+    \advance\skiplinenumber by-\algocf@skipuntil%
+    \strut\raisebox{0pt}{\rlap{\kern\skiplinenumber\NlSty{#1\ignorespaces}}}\ignorespaces%
+  }%
+}%
+\newcommand{\algocf@nl@sethref}[1]{%
+  \renewcommand{\theHAlgoLine}{\thealgocfproc.#1}%
+  \hyper@refstepcounter{AlgoLine}\gdef\@currentlabel{#1}%
+}%
+\newcommand{\nl}{%
+  \@ifundefined{hyper@refstepcounter}{% if not hyperref then do a simple refstepcounter
+    \refstepcounter{AlgoLine}%
+  }{% else if hyperref, do the anchor so 2 lines in two differents algorithms cannot have the same href
+    \stepcounter{AlgoLine}\algocf@nl@sethref{\theAlgoLine}%
+  }% now we can do the line numbering
+  \algocf@printnl{\theAlgoLine}%
+}%
+%
+\newcommand{\nllabel}[1]{\label{#1}}%
+%
+\newcommand{\enl}{%
+  \@ifundefined{hyper@refstepcounte}{% if not hyperref then do a simple refstepcounter
+    \refstepcounter{AlgoLine}%
+  }{% else if hyperref, do the anchor so 2 lines in two differents algorithms cannot have the same href
+    \stepcounter{AlgoLine}\algocf@nl@sethref{\theAlgoLine}%
+  }% now we can do the line numbering
+  \skiplinenumber=\hsize\advance\skiplinenumber by-\leftskip%
+  \strut\raisebox{0pt}{\rlap{\kern\skiplinenumber\strut\NlSty{\theAlgoLine}}}\ignorespaces%
+}%
+%% nlset
+\newcommand{\nlset}[1]{%
+  \@ifundefined{hyper@refstepcounter}{\protected@edef\@currentlabel{#1}}{\algocf@nl@sethref{#1}}\algocf@printnl{#1}%
+}%
+%
+%% lnl definitions
+\newcommand{\lnl}[1]{\nl\label{#1}\ignorespaces}%
+%
+%% lnlset
+\newcommand{\lnlset}[2]{\nlset{#2}\label{#1}}%
+%
+% set char put at end of each line
+%
+\newcommand{\algocf@endline}{\string;}
+\newcommand{\SetEndCharOfAlgoLine}[1]{\renewcommand{\algocf@endline}{#1}}
+%
+% end of line definition
+%
+\newcommand{\@endalgocfline}{\algocf@endline}% default definition: printsemicolon
+\newcommand{\DontPrintSemicolon}{\renewcommand{\@endalgocfline}{\relax}}%
+\newcommand{\PrintSemicolon}{\renewcommand{\@endalgocfline}{\algocf@endline}}%
+\newcommand{\@endalgoln}{\@endalgocfline\hfill\strut\par}%
+%
+% line numbering
+%
+\newcommand{\LinesNumbered}{\setboolean{algocf@linesnumbered}{true}\renewcommand{\algocf@linesnumbered}{\everypar={\nl}}}%
+\newcommand{\LinesNotNumbered}{%
+  \setboolean{algocf@linesnumbered}{false}%
+  \renewcommand{\algocf@linesnumbered}{\relax}%
+}%
+%
+\newcommand{\LinesNumberedHidden}{%
+  \setboolean{algocf@linesnumbered}{true}\renewcommand{\algocf@linesnumbered}{\everypar{\stepcounter{AlgoLine}}}}%
+\newcommand{\ShowLn}{\nlset{\theAlgoLine}\ignorespaces}% display the line number on this line (without labelling)
+\newcommand{\ShowLnLabel}[1]{\lnlset{#1}{\theAlgoLine}\ignorespaces}% display the line number and label this line
+%
+%%
+%
+%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% Styling text commands
+%
+\newcommand{\AlFnt}{\relax}% default definition
+\newcommand{\SetAlFnt}[1]{\renewcommand{\AlFnt}{#1}}%
+\newcommand{\AlTitleFnt}{\relax}% default definition
+\newcommand{\SetAlTitleFnt}[1]{\renewcommand{\AlTitleFnt}{#1}}%
+%
+\newcommand{\AlCapFnt}{\relax}% default definition
+\newcommand{\SetAlCapFnt}[1]{\renewcommand{\AlCapFnt}{#1}}%
+\newcommand{\AlCapNameFnt}{\relax}% default definition
+\newcommand{\SetAlCapNameFnt}[1]{\renewcommand{\AlCapNameFnt}{#1}}%
+%
+\newcommand{\ProcFnt}{\relax}% default definition
+\newcommand{\SetProcFnt}[1]{\renewcommand{\ProcFnt}{#1}}%
+\newcommand{\ProcNameFnt}{\relax}% default definition
+\newcommand{\SetProcNameFnt}[1]{\renewcommand{\ProcNameFnt}{#1}}%
+\newcommand{\ProcArgFnt}{\relax}% default definition
+\newcommand{\SetProcArgFnt}[1]{\renewcommand{\ProcArgFnt}{#1}}%
+%
+\newcommand{\AlTitleSty}[1]{\textbf{#1}\unskip}% default definition
+\newcommand{\SetAlTitleSty}[1]{\renewcommand{\AlTitleSty}[1]{\textnormal{\csname#1\endcsname{##1}}\unskip}}%
+\newcommand{\AlCapSty}[1]{\textnormal{\textbf{#1}}\unskip}% default definition
+\newcommand{\SetAlCapSty}[1]{\renewcommand{\AlCapSty}[1]{\textnormal{\csname#1\endcsname{##1}}\unskip}}%
+\newcommand{\AlCapNameSty}[1]{\textnormal{#1}\unskip}% default definition
+\newcommand{\SetAlCapNameSty}[1]{\renewcommand{\AlCapNameSty}[1]{\textnormal{\csname #1\endcsname{##1}}\unskip}}%
+%
+\newcommand{\ProcSty}[1]{\AlCapSty{#1}}%
+\newcommand{\SetProcSty}[1]{\renewcommand{\ProcSty}[1]{\textnormal{\csname#1\endcsname{##1}}\unskip}}%
+\newcommand{\ProcNameSty}[1]{\AlCapNameSty{#1}}%
+\newcommand{\SetProcNameSty}[1]{\renewcommand{\ProcNameSty}[1]{\textnormal{\csname#1\endcsname{##1}}\unskip}}%
+\newcommand{\ProcArgSty}[1]{\AlCapNameSty{#1}}%
+\newcommand{\SetProcArgSty}[1]{\renewcommand{\ProcArgSty}[1]{\textnormal{\csname#1\endcsname{##1}}\unskip}}%
+%
+\newcommand{\KwSty}[1]{\textnormal{\textbf{#1}}\unskip}% default definition
+\newcommand{\SetKwSty}[1]{\renewcommand{\KwSty}[1]{\textnormal{\csname#1\endcsname{##1}}\unskip}}%
+\newcommand{\ArgSty}[1]{\textnormal{\emph{#1}}\unskip}%\SetArgSty{emph}
+\newcommand{\SetArgSty}[1]{\renewcommand{\ArgSty}[1]{\textnormal{\csname#1\endcsname{##1}}\unskip}}%
+\newcommand{\FuncSty}[1]{\textnormal{\texttt{#1}}\unskip}%\SetFuncSty{texttt}
+\newcommand{\SetFuncSty}[1]{\renewcommand{\FuncSty}[1]{\textnormal{\csname#1\endcsname{##1}}\unskip}}%
+\newcommand{\DataSty}[1]{\textnormal{\textsf{#1}}\unskip}%%\SetDataSty{textsf}
+\newcommand{\SetDataSty}[1]{\renewcommand{\DataSty}[1]{\textnormal{\csname#1\endcsname{##1}}\unskip}}%
+\newcommand{\CommentSty}[1]{\textnormal{\texttt{#1}}\unskip}%%\SetDataSty{texttt}
+\newcommand{\SetCommentSty}[1]{\renewcommand{\CommentSty}[1]{\textnormal{\csname#1\endcsname{##1}}\unskip}}%
+\newcommand{\TitleSty}[1]{#1\unskip}%\SetTitleSty{}{}
+\newcommand{\SetTitleSty}[2]{\renewcommand{\TitleSty}[1]{%
+\csname#1\endcsname{\csname#2\endcsname##1}}\unskip}%
+\newcommand{\BlockMarkersSty}[1]{\KwSty{#1}}%
+\newcommand{\SetBlockMarkersSty}[1]{\renewcommand{\BlockMarkersSty}[1]{\textnormal{\csname#1\endcsname{##1}}\unskip}}%
+%
+%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% Block basic commands
+%
+\newcommand{\algocf@push}[1]{\advance\skiptotal by #1\moveright #1}%
+\newcommand{\algocf@pop}[1]{\advance\skiptotal by -#1}%
+\newcommand{\algocf@addskiptotal}{\advance\skiptotal by 0.4pt\advance\hsize by -0.4pt\advance\hsize by -\skiplength}% 0.4 pt=width of \vrule
+\newcommand{\algocf@subskiptotal}{\advance\skiptotal by -0.4pt\advance\hsize by 0.4pt\advance\hsize by \skiplength}% 0.4 pt=width of \vrule
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%
+%% group of instructions definition
+%
+\skiphlne=.8ex%
+\newcommand{\SetVlineSkip}[1]{\skiphlne=#1}%
+\newcommand{\algocf@bblock}{\BlockMarkersSty{begin}}%
+\newcommand{\algocf@eblock}{\BlockMarkersSty{end}}%
+\newcommand{\AlgoDisplayBlockMarkers}{\setboolean{algocf@displayblockmarkers}{true}}%
+\newcommand{\AlgoDontDisplayBlockMarkers}{\setboolean{algocf@displayblockmarkers}{false}}%
+\newcommand{\algocf@bblockcode}{%
+  \ifthenelse{\boolean{algocf@displayblockmarkers}}{\algocf@bblock\par}{\relax}%
+}%
+\newcommand{\algocf@eblockcode}{%
+  \ifthenelse{\boolean{algocf@displayblockmarkers}}{\algocf@eblock\par}{\relax}%
+}%
+\newcommand{\SetAlgoBlockMarkers}[2]{%
+  \ifArgumentEmpty{#1}{%
+    \renewcommand{\algocf@bblock}{\relax}%
+  }{%
+    \renewcommand{\algocf@bblock}{\BlockMarkersSty{#1}}%
+  }% begin marker set
+  \ifArgumentEmpty{#2}{%
+    \renewcommand{\algocf@eblock}{\relax}%
+  }{%
+    \renewcommand{\algocf@eblock}{\BlockMarkersSty{#2}}%
+  }% end marker set
+}
+%
+%%%%%%%%% block with a vertical line end by a little horizontal line
+\newcommand{\algocf@Vline}[1]{%     no vskip in between boxes but a strut to separate them, 
+  \strut\par\nointerlineskip% then interblock space stay the same whatever is inside it
+  \algocf@push{\skiprule}%        move to the right before the vertical rule
+  \hbox{\vrule%
+    \vtop{\algocf@push{\skiptext}%move the right after the rule
+      \vtop{\algocf@addskiptotal #1}\Hlne}}\vskip\skiphlne% inside the block
+  \algocf@pop{\skiprule}%\algocf@subskiptotal% restore indentation
+  \nointerlineskip}% no vskip after
+%
+%%%%%%%%% block with a vertical line
+\newcommand{\algocf@Vsline}[1]{%    no vskip in between boxes but a strut to separate them, 
+  \strut\par\nointerlineskip% then interblock space stay the same whatever is inside it
+  \algocf@bblockcode%
+  \algocf@push{\skiprule}%        move to the right before the vertical rule
+  \hbox{\vrule%               the vertical rule
+    \vtop{\algocf@push{\skiptext}%move the right after the rule
+      \vtop{\algocf@addskiptotal #1}}}% inside the block
+  \algocf@pop{\skiprule}% restore indentation
+  \algocf@eblockcode%
+}
+%
+\newcommand{\algocf@Hlne}{\hrule height 0.4pt depth 0pt width .5em}%
+%
+%%%%%%%%%  block without line
+\newcommand{\algocf@Noline}[1]{%    no vskip in between boxes but a strut to separate them, 
+  \strut\par\nointerlineskip% then interblock space stay the same whatever is inside it
+  \algocf@bblockcode%
+  \algocf@push{\skiprule}%
+  \hbox{%
+    \vtop{\algocf@push{\skiptext}%
+      \vtop{\algocf@addskiptotal #1}}}% inside the block
+  \algocf@pop{\skiprule}%
+  \algocf@eblockcode%
+  % \nointerlineskip% no vskip after
+}%
+%%%%%%%%%
+%
+%% default=NoLine
+%
+\newcommand{\algocf@group}[1]{\algocf@Noline{#1}}% group: set of instruction depending from another (ex: then part of the If)
+\newcommand{\algocf@@@block}[2]{#1\ifArgumentEmpty{#2}{\relax}{\KwSty{\@algocf@endoption{#2}}\strut\par}}% block: group with a end keyword.
+\newcommand{\algocf@@block}[2]{\algocf@@@block{#1}{#2}}% block: group with a end keyword.
+\newcommand{\algocf@block}[2]{\algocf@@block{#1}{#2}}% command that will be used and redefined accordingly to noend option
+\newcommand{\algocf@setBlock}{%
+  \ifthenelse{\boolean{algocf@optnoend}}{%     if no end option
+    \renewcommand{\algocf@block}[2]{\algocf@group{##1}}%     block will be a group
+  }{%                                          else
+    \renewcommand{\algocf@block}[2]{\algocf@@block{##1}{##2}}% block stays a block
+  }%
+}%
+%
+\newcommand{\Hlne}{}% little hrizontal line ending a block in vline mode
+%
+\newcommand{\@algocf@endoption}[1]{#1}%
+\newboolean{algocf@optnoend}\setboolean{algocf@optnoend}{false}%
+%
+\newcommand{\SetAlgoLongEnd}{%%%%%%%%%%%%%%%%%%%%%%%%% Long End
+  \setboolean{algocf@optnoend}{false}%
+  \renewcommand{\@algocf@endoption}[1]{##1}%
+  \algocf@setBlock}%
+%
+\newcommand{\SetAlgoShortEnd}{%%%%%%%%%%%%%%%%%%%%%%%% ShortEnd
+  \setboolean{algocf@optnoend}{false}%
+  \renewcommand{\@algocf@endoption}[1]{\@firstword##1 \@nil}%
+  \algocf@setBlock}%
+%
+\newcommand{\SetAlgoNoEnd}{%%%%%%%%%%%%%%%%%%%%%%%%%%% NoEnd
+  \setboolean{algocf@optnoend}{true}%
+  \renewcommand{\@algocf@endoption}[1]{}%
+  \algocf@setBlock}%
+%
+\newcommand{\SetAlgoNoLine}{%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Noline
+\renewcommand{\algocf@@block}[2]{\algocf@@@block{\algocf@Noline{##1}}{##2}}%
+\renewcommand{\algocf@group}[1]{\algocf@Noline{##1}}%
+\renewcommand{\Hlne}{}}%
+%
+\newcommand{\SetAlgoVlined}{%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Vline
+\renewcommand{\algocf@@block}[2]{\algocf@Vline{##1}}%
+\renewcommand{\algocf@group}[1]{\algocf@Vsline{##1}}%\ifthenelse{\boolean{algocf@optnoend}}{\relax}{\strut\ignorespaces}}%
+\renewcommand{\Hlne}{\algocf@Hlne}}%
+%
+\newcommand{\SetAlgoLined}{%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Line
+\renewcommand{\algocf@@block}[2]{\algocf@@@block{\strut\algocf@Vsline{##1}}{##2}}% no skip after a block so garantie at least one line
+\renewcommand{\algocf@group}[1]{\algocf@Vsline{##1}}%\ifthenelse{\boolean{algocf@optnoend}}{\relax}{\strut\ignorespaces}}%
+\renewcommand{\Hlne}{}}%
+%
+\newcommand{\SetNothing}{%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Noline
+\renewcommand{\algocf@@block}[2]{\algocf@Noline{##1}\par}%
+%\long
+\renewcommand{\algocf@group}[1]{\algocf@Noline{##1}}%
+\renewcommand{\Hlne}{}}%
+%
+%%
+%%
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% ``Input:'''s like command 
+%
+%%%
+% text staying at the right of the longer keyword of KwInOut commands 
+% (text of KwInOut commands are all vertically aligned)
+%
+\newcommand{\algocf@newinout}{\par\parindent=\inoutindent}% to put right indentation after a \\ in the KwInOut
+\newcommand{\SetKwInOut}[2]{%
+  \sbox\algocf@inoutbox{\KwSty{#2}\algocf@typo:}%
+  \expandafter\ifx\csname InOutSizeDefined\endcsname\relax% if first time used
+    \newcommand\InOutSizeDefined{}\setlength{\inoutsize}{\wd\algocf@inoutbox}%
+    \sbox\algocf@inoutbox{\parbox[t]{\inoutsize}{\KwSty{#2}\algocf@typo\hfill:}~}\setlength{\inoutindent}{\wd\algocf@inoutbox}%
+  \else% else keep the larger dimension
+    \ifdim\wd\algocf@inoutbox>\inoutsize%
+    \setlength{\inoutsize}{\wd\algocf@inoutbox}%
+    \sbox\algocf@inoutbox{\parbox[t]{\inoutsize}{\KwSty{#2}\algocf@typo\hfill:}~}\setlength{\inoutindent}{\wd\algocf@inoutbox}%
+    \fi%
+  \fi% the dimension of the box is now defined.
+  \algocf@newcommand{#1}[1]{%
+    \ifthenelse{\boolean{algocf@inoutnumbered}}{\relax}{\everypar={\relax}}%
+%     {\let\\\algocf@newinout\hangindent=\wd\algocf@inoutbox\hangafter=1\parbox[t]{\inoutsize}{\KwSty{#2}\algocf@typo\hfill:}~##1\par}%
+    {\let\\\algocf@newinout\hangindent=\inoutindent\hangafter=1\parbox[t]{\inoutsize}{\KwSty{#2}\algocf@typo\hfill:}~##1\par}%
+    \algocf@linesnumbered% reset the numbering of the lines
+  }}%
+%
+%% allow to ajust the skip size of InOut
+%%
+\newcommand{\ResetInOut}[1]{%
+  \sbox\algocf@inoutbox{\hbox{\KwSty{#1}\algocf@typo:\ }}%
+  \setlength{\inoutsize}{\wd\algocf@inoutbox}%
+  }%
+%
+% 
+%%%
+% text staying at the right of the keyword.
+%
+\newcommand{\algocf@newinput}{\par\parindent=\wd\algocf@inputbox}% to put right indentation after a \\ in the KwInput
+\newcommand{\SetKwInput}[2]{%
+  \algocf@newcommand{#1}[1]{%
+    \sbox\algocf@inputbox{\hbox{\KwSty{#2}\algocf@typo: }}%
+    \ifthenelse{\boolean{algocf@inoutnumbered}}{\relax}{\everypar={\relax}}%
+    {\let\\\algocf@newinput\hangindent=\wd\algocf@inputbox\hangafter=1\unhbox\algocf@inputbox##1\par}%
+    \algocf@linesnumbered% reset the numbering of the lines
+  }}%
+\newcommand{\SetKwData}[2]{%
+  \algocf@newcommand{@#1}[1]{\DataSty{#2(}\ArgSty{##1}\DataSty{)}}%
+  \algocf@newcommand{#1}{%
+    \@ifnextchar\bgroup{\csname @#1\endcsname}{\DataSty{#2}\xspace}}%
+  }%
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% tallent:
+%
+% Add following macros:
+%   \SetKwHangingKw:  [kw] ------------   <= hanging determined by [kw]
+%                          ------------
+% Should act like a combination of \SetKwInput and \SetKw.
+% Based on \SetKwInput:
+%   - remove ':' at end of keyword
+%   - do not reset numbering
+%   - use separate savebox
+\newsavebox{\algocf@hangingbox}
+\newcommand{\algocf@newhanging}{\par\parindent=\wd\algocf@hangingbox}% to put right indentation after a \\ in the KwInput
+\newcommand{\SetKwHangingKw}[2]{%
+  \algocf@newcommand{#1}[1]{%
+    \sbox\algocf@hangingbox{\hbox{\KwSty{#2}\algocf@typo\ }}%
+    {\let\\\algocf@newhanging\hangindent=\wd\algocf@hangingbox\hangafter=1\unhbox\algocf@hangingbox##1\;}%
+  }%
+}%
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% Comments macros
+%
+%%%%
+% comment in the text, first argument is the name of the macro, second is
+% the text put before the comment, third is the text put at the end of the
+% comment.
+%
+% first side comment justification
+\newcommand{\SetSideCommentLeft}{\setboolean{algocf@scleft}{true}}%
+\newcommand{\SetSideCommentRight}{\setboolean{algocf@scleft}{false}}%
+\newcommand{\SetNoFillComment}{\setboolean{algocf@optfillcomment}{false}}%
+\newcommand{\SetFillComment}{\setboolean{algocf@optfillcomment}{true}}%
+%
+% next comment and side comment
+%
+\newcommand{\algocf@endmarkcomment}{\relax}%
+\newcommand{\algocf@fillcomment}{%
+  \ifthenelse{\boolean{algocf@optfillcomment}}{\hfill}{\relax}}%
+%
+\newcommand{\algocf@startcomment}{%
+  \hangindent=\wd\algocf@inputbox\hangafter=1\usebox\algocf@inputbox}%
+\newcommand{\algocf@endcomment}{\algocf@fillcomment\algocf@endmarkcomment\ignorespaces\par}%
+\newcommand{\algocf@endstartcomment}{\algocf@endcomment\algocf@startcomment\ignorespaces}%
+%
+\newboolean{algocf@sidecomment}%
+\newboolean{algocf@altsidecomment}\setboolean{algocf@altsidecomment}{false}%
+\newcommand{\algocf@scpar}{\ifthenelse{\boolean{algocf@altsidecomment}}{\relax}{\par}}%
+\newcommand{\algocf@sclfill}{\ifthenelse{\boolean{algocf@scleft}}{\algocf@fillcomment}{\relax}}%
+\newcommand{\algocf@scrfill}{\ifthenelse{\boolean{algocf@scleft}}{\relax}{\hfill}}%
+\newcommand{\algocf@startsidecomment}{\usebox\algocf@inputbox}%
+\newcommand{\algocf@endsidecomment}{\algocf@endmarkcomment\algocf@scpar}%
+\newcommand{\algocf@endstartsidecomment}{%
+  \algocf@sclfill\algocf@endsidecomment%
+  \algocf@scrfill\algocf@startsidecomment\ignorespaces}%
+%
+\newcommand{\SetKwComment}[3]{%
+  \algocf@newcommand{#1}{\@ifstar{\csname algocf@#1@star\endcsname}{\csname algocf@#1\endcsname}}%
+	\algocf@newcommand{algocf@#1}[1]{%
+    \sbox\algocf@inputbox{\CommentSty{\hbox{#2}}}%
+    \ifthenelse{\boolean{algocf@commentsnumbered}}{\relax}{\everypar={\relax}}%
+    {\renewcommand{\algocf@endmarkcomment}{#3}%
+      \let\\\algocf@endstartcomment%
+      \algocf@startcomment\CommentSty{%
+        \strut\ignorespaces##1\strut\algocf@fillcomment#3}\par}%
+    \algocf@linesnumbered% reset the numbering of the lines
+  }%
+  %%% side comment definitions
+	\algocf@newcommand{algocf@#1@star}[2][]{%
+		\ifArgumentEmpty{##1}\relax{% TODO: Is this even necessary, with all those \ifx's?
+			\ifthenelse{\boolean{algocf@scleft}}{\setboolean{algocf@sidecomment}{true}}{\setboolean{algocf@sidecomment}{false}}%
+			\ifx##1h\setboolean{algocf@altsidecomment}{true}\SetSideCommentLeft\fi%
+			\ifx##1f\setboolean{algocf@altsidecomment}{true}\SetSideCommentRight\fi%
+			\ifx##1l\setboolean{algocf@altsidecomment}{false}\SetSideCommentLeft\fi%
+			\ifx##1r\setboolean{algocf@altsidecomment}{false}\SetSideCommentRight\fi%
+		}%
+    \sbox\algocf@inputbox{\CommentSty{\hbox{#2}}}%
+    \ifthenelse{\boolean{algocf@commentsnumbered}}{\relax}{\everypar={\relax}}%
+    {%
+      \renewcommand{\algocf@endmarkcomment}{#3}%
+      \let\\\algocf@endstartsidecomment%
+      % here is the comment
+      \ifthenelse{\boolean{algocf@altsidecomment}}{\relax}{\@endalgocfline\ }%
+      \algocf@scrfill\algocf@startsidecomment\CommentSty{%
+        \strut\ignorespaces##2\strut\algocf@sclfill#3}\algocf@scpar%
+    }%
+    \algocf@linesnumbered% reset the numbering of the lines
+		\ifArgumentEmpty{##1}\relax{%
+			\ifthenelse{\boolean{algocf@sidecomment}}{\setboolean{algocf@scleft}{true}}{\setboolean{algocf@scleft}{false}}%
+			\setboolean{algocf@altsidecomment}{false}%
+		}%
+	}%
+}%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% KwProg
+%
+\newcommand{\SetKwProg}[4]{%
+	\algocf@newcmdside{#1} 3{\KwSty{#2}\ifArgumentEmpty{#2}\relax{\ }\ArgSty{##2}\KwSty{#3}\ifArgumentEmpty{##1}\relax{ ##1}\algocf@block{##3}{#4}}%
+	\algocf@newcmdside{l#1}3{\KwSty{#2} \ArgSty{##2}\KwSty{#3} ##3\@endalgocfline\ifArgumentEmpty{##1}\relax{##1}\strut\par}%
+}%
+%
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% Kw
+%
+\newcommand{\SetKw}[2]{%
+	\algocf@newcommand{@#1}[1]{\KwSty{#2} \ArgSty{##1}}
+	\algocf@newcommand{#1}{\@ifnextchar\bgroup{\csname @#1\endcsname}{\KwSty{#2}\xspace}}%
+}%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% KwFunction
+%
+\newcommand{\SetKwFunction}[2]{%
+%%% use of gdef since newcommand doesn't manage to define the macro when SetKwFunction is used in \algocf@caption@proc
+  \expandafter\gdef\csname @#1\endcsname##1{\FuncSty{#2(}\ArgSty{##1}\FuncSty{)}}%
+  \expandafter\gdef\csname#1\endcsname{%
+    \@ifnextchar\bgroup{\csname @#1\endcsname}{\FuncSty{#2}\xspace}}%
+}%
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% KwTab
+%
+\newcommand{\SetKwArray}[2]{%
+%%% use of gdef since newcommand doesn't manage to define the macro when SetKwFunction is used in \algocf@caption@proc
+  \expandafter\gdef\csname @#1\endcsname##1{\DataSty{#2[}\ArgSty{##1}\DataSty{]}}%
+  \expandafter\gdef\csname#1\endcsname{%
+    \@ifnextchar\bgroup{\csname @#1\endcsname}{\DataSty{#2}\xspace}}%
+}%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% KwBlock
+%
+\newcommand{\SetKwBlock}[3]{%
+	\algocf@newcmdside{#1}{2}
+		{\KwSty{#2}\ifArgumentEmpty{##1}\relax{ ##1}\algocf@block{##2}{#3}\par}
+}%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% condition typo
+%
+\newcommand{\algocf@scond}{ }
+\newcommand{\algocf@econd}{ }
+\newcommand{\algocf@ucond}{}
+\newcommand{\SetStartEndCondition}[3]{%
+  \renewcommand{\algocf@scond}{#1}\renewcommand{\algocf@econd}{#2}\renewcommand{\algocf@ucond}{#3}}
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% For Switch
+%
+\newcommand{\SetKwSwitch}[9]{% #1=\Switch #2=\Case #3=\Other #4=switch #5=do #6=case #7=otherwise #8=endcase #9=endsw
+	\algocf@newcmdside{#1}{3}
+		{\KwSty{#4}\algocf@scond\ArgSty{##2}\algocf@econd\KwSty{#5}\ifArgumentEmpty{##1}\relax{ ##1}\algocf@block{##3}{#9}}
+%%%% Case
+	\algocf@newcmdside{#2}{3}{\KwSty{#6}\algocf@scond\ArgSty{##2}\algocf@ucond\ifArgumentEmpty{##1}\relax{ ##1}\algocf@block{##3}{#8}}%
+	\algocf@newcmdside{u#2}{3}{\KwSty{#6}\algocf@scond\ArgSty{##2}\algocf@ucond\ifArgumentEmpty{##1}\relax{ ##1}\algocf@group{##3}}%
+	\algocf@newcmdside{l#2}{3}{\KwSty{#6}\algocf@scond\ArgSty{##2}\algocf@ucond\ ##3\@endalgocfline\ifArgumentEmpty{##1}\relax{ ##1}\strut\par}%
+%%%% Other 
+	\algocf@newcmdside{#3}{2}{\KwSty{#7}\ifArgumentEmpty{##1}\relax{ ##1}\algocf@block{##2}{#8}}%
+	\algocf@newcmdside{l#3}{2}{\KwSty{#7}\ ##2\@endalgocfline\ifArgumentEmpty{##1}\relax{ ##1}\strut\par}%
+}%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% If macros
+%
+\newcommand{\SetKwIF}[8]{% #1=\If #2=\ElseIf #3=\Else #4=if #5=then #6=elseif #7=else #8=endif
+% 
+% common text
+	\algocf@newcommand{#1@ifthen}[1]{\KwSty{#4}\algocf@scond\ArgSty{##1}\algocf@econd\KwSty{#5}}%
+	\algocf@newcommand{#1@endif} [1]{\algocf@block{##1}{#8}}%
+	\algocf@newcommand{#1@noend} [1]{\algocf@group{##1}}%
+	\algocf@newcommand{#1@else}  [1]{\algocf@group{##1}\KwSty{#7}}%
+	\algocf@newcommand{#2@elseif}[1]{\KwSty{#6}\algocf@scond\ArgSty{##1}\algocf@econd\KwSty{#5}}%
+	\algocf@newcommand{#3@else}     {\KwSty{#7}}%
+%%%% If then { } endif
+	\algocf@newcmdside{#1}3{\csname #1@ifthen\endcsname{##2}\ifArgumentEmpty{##1}\relax{ ##1}\csname #1@endif\endcsname{##3}}%
+%%%% If then {} else {} endif
+    % first command to handle optional side comment of else (so just after first braces)
+ 	\algocf@newcmdside{algocf@e#1thenelse}2{\ifArgumentEmpty{##1}\relax{ ##1}\csname #1@endif\endcsname{##2}}
+    % the definition of if-then-else command using command above 
+	\algocf@newcmdside{e#1}3{\csname #1@ifthen\endcsname{##2}\ifArgumentEmpty{##1}\relax{ ##1}\csname #1@else\endcsname{##3}\csname algocf@e#1thenelse\endcsname}%
+    %%% leif
+    \algocf@newcmdside{le#1}4{\csname #1@ifthen\endcsname{##2} ##3 \csname #3@else\endcsname\ ##4\@endalgocfline\ifArgumentEmpty{##1}\relax{##1}\strut\par}
+%%%% If then 
+	\algocf@newcmdside{l#1}3{\csname #1@ifthen\endcsname{##2} ##3\@endalgocfline\ifArgumentEmpty{##1}\relax{##1}\strut\par}%
+	\algocf@newcmdside{u#1}3{\csname #1@ifthen\endcsname{##2}\ifArgumentEmpty{##1}\relax{ ##1}\csname #1@noend\endcsname{##3}}%
+%%%% ElseIf {} endif
+	\algocf@newcmdside{#2} 3{\csname #2@elseif\endcsname{##2}\relax\ifArgumentEmpty{##1}\relax{ ##1}\csname #1@endif\endcsname{##3}}%
+%%%% ElseIf
+	\algocf@newcmdside{l#2}3{\csname #2@elseif\endcsname{##2} ##3\@endalgocfline\ifArgumentEmpty{##1}\relax{##1}\strut\par}%
+	\algocf@newcmdside{u#2}3{\csname #2@elseif\endcsname{##2}\relax\ifArgumentEmpty{##1}\relax{ ##1}\csname #1@noend\endcsname{##3}}%
+%%%% Else {} endif
+	\algocf@newcmdside{#3} 2{\csname #3@else\endcsname\ifArgumentEmpty{##1}\relax\ ##1\csname #1@endif\endcsname{##2}}%
+%%%% Else 
+	\algocf@newcmdside{l#3}2{\csname #3@else\endcsname\ ##2\@endalgocfline\ifArgumentEmpty{##1}\relax{##1}\strut\par}%
+	\algocf@newcmdside{u#3}2{\csname #3@else\endcsname     \ifArgumentEmpty{##1}\relax{\                ##1\relax}\csname #1@noend\endcsname{##2}}%
+}% 
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% For macros
+%
+\newcommand{\SetKwFor}[4]{%
+	\algocf@newcmdside{#1} 3{\KwSty{#2}\algocf@scond\ArgSty{##2}\algocf@econd\KwSty{#3}\ifArgumentEmpty{##1}\relax{ ##1}\algocf@block{##3}{#4}}%
+	\algocf@newcmdside{l#1}3{\KwSty{#2}\algocf@scond\ArgSty{##2}\algocf@econd\KwSty{#3} ##3\@endalgocfline\ifArgumentEmpty{##1}\relax{##1}\strut\par}%
+}%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% Repeat macros
+%
+\newsavebox{\algocf@untilbox}% to handle width of until keyword needed to have good skip
+  % for line numbers
+\newskip\algocf@skipuntil
+\newcommand{\SetKwRepeat}[3]{%
+	\algocf@newcmdsides{#1}{3}{%
+      \sbox\algocf@untilbox{\KwSty{#3}\algocf@scond}\algocf@skipuntil=\wd\algocf@untilbox%
+      \KwSty{#2}\ifArgumentEmpty{##1}\relax{##1}\algocf@group{##3}%
+      \KwSty{#3}\algocf@scond% until keyword and start condition typo
+      \advance\skiptotal by\algocf@skipuntil%
+      \ArgSty{##2}%
+      \advance\skiptotal by-\algocf@skipuntil%
+      \algocf@ucond%
+      \algocf@skipuntil=0pt% reset counter
+    }{\@endalgocfline}{\strut\par}%
+	\algocf@newcmdside{l#1}3{\KwSty{#2} ##3 \KwSty{#3}\algocf@scond\ArgSty{##2}\algocf@ucond\@endalgocfline\ifArgumentEmpty{##1}\relax{ ##1}\strut\par}%
+}%
+%
+% 
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%        Environments definitions     %%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%%
+%% Caption management
+%%
+% for the following macros:
+% #1 is given by caption and is equal to fnum@algocf
+% #2 is the text given in argument by the user in the \caption macro
+%
+%%%%% text of caption
+\newcommand{\algocf@captionlayout}[1]{#1}%
+\newcommand{\SetAlgoCaptionLayout}[1]{%
+  \renewcommand{\algocf@captionlayout}[1]{\csname #1\endcsname{##1}}}%
+\newcommand{\algocf@capseparator}{:}%
+\newcommand{\SetAlgoCaptionSeparator}[1]{\renewcommand{\algocf@capseparator}{#1}}%
+\newcommand{\algocf@captiontext}[2]{%
+  \algocf@captionlayout{\AlCapSty{\AlCapFnt #1\algocf@typo\algocf@capseparator}\nobreakspace%
+    \AlCapNameSty{\AlCapNameFnt{}#2}}}% text of caption
+%
+%%%%% default caption of algorithm: used if no specific style caption is defined
+\newcommand{\algocf@makecaption}[2]{%
+  \addtolength{\hsize}{\algomargin}%
+  \sbox\@tempboxa{\algocf@captiontext{#1}{#2}}%
+  \ifdim\wd\@tempboxa >\hsize%     % if caption is longer than a line
+    \hskip .5\algomargin%
+    \parbox[t]{\hsize}{\algocf@captiontext{#1}{#2}}% then caption is not centered
+  \else%
+    \global\@minipagefalse%
+    \hbox to\hsize{\hfil\box\@tempboxa\hfil}% else caption is centered
+  \fi%
+  \addtolength{\hsize}{-\algomargin}%
+}%
+%
+\newsavebox\algocf@capbox%
+\newcommand{\algocf@makecaption@plain}[2]{%
+  \global\sbox\algocf@capbox{\algocf@makecaption{#1}{#2}}}%
+\newcommand{\algocf@makecaption@boxed}[2]{%
+  \addtolength{\hsize}{-\algomargin}%
+  \global\sbox\algocf@capbox{\algocf@makecaption{#1}{#2}}%
+  \addtolength{\hsize}{\algomargin}%
+ }%
+%
+\newcommand{\algocf@makecaption@plainruled}[2]{\algocf@makecaption@plain{#1}{#2}}%
+\newcommand{\algocf@makecaption@tworuled}[2]{\algocf@makecaption@ruled{#1}{#2}}%
+\newcommand{\algocf@makecaption@algoruled}[2]{\algocf@makecaption@ruled{#1}{#2}}%
+\newcommand{\algocf@makecaption@boxruled}[2]{\algocf@makecaption@ruled{#1}{#2}}%
+\newcommand{\algocf@makecaption@ruled}[2]{%
+  \global\sbox\algocf@capbox{\hskip\AlCapHSkip% .5\algomargin%
+    \parbox[t]{\hsize}{\algocf@captiontext{#1}{#2}}}% then caption is not centered
+}%
+%
+\newlength{\algoheightruledefault}\setlength{\algoheightruledefault}{0.8pt}%
+\newlength{\algoheightrule}\setlength{\algoheightrule}{\algoheightruledefault}%
+\newlength{\algotitleheightruledefault}\setlength{\algotitleheightruledefault}{0.8pt}%
+\newlength{\algotitleheightrule}\setlength{\algotitleheightrule}{\algotitleheightruledefault}%
+\newcommand{\algocf@caption@plain}{\vskip\AlCapSkip\box\algocf@capbox}%
+\newcommand{\algocf@caption@plainruled}{\algocf@caption@plain}%
+\newcommand{\algocf@caption@boxed}{\vskip\AlCapSkip\box\algocf@capbox}%
+\newcommand{\algocf@caption@ruled}{\box\algocf@capbox\kern\interspacetitleruled\hrule  height\algotitleheightrule depth0pt\kern\interspacealgoruled}%
+\newcommand{\algocf@caption@tworuled}{\box\algocf@capbox\hrule  height0pt depth0pt\kern\interspacealgoruled}%
+\newcommand{\algocf@caption@algoruled}{\algocf@caption@ruled}%
+\newcommand{\algocf@caption@boxruled}{%
+  \addtolength{\hsize}{-0.8pt}%
+  \hbox to\hsize{%
+    \vrule%\hskip-0.35pt%
+    \vbox{%
+      \hrule\vskip\interspacetitleboxruled%
+      \hbox to\hsize{\unhbox\algocf@capbox\hfill}\vskip\interspacetitleboxruled%
+    }% 
+    %\hskip-0.35pt%
+    \vrule%
+  }\nointerlineskip%
+  \addtolength{\hsize}{0.8pt}%
+}%
+%
+%
+%%%% set caption for the environment
+\newcommand{\algocf@captionref}{%
+  \renewcommand{\fnum@algocf}[1]{\AlCapSty{\AlCapFnt\algorithmcfname\nobreakspace\algocf@algocfref}}%
+  \addtocounter{algocf}{-1}% \caption do a refstepcounter, so we restore the precedent value
+  \let\old@thealgocf=\thealgocf\renewcommand{\thealgocf}{{\relsize{\algocf@refrelsize}\algocf@algocfref}}%
+  \gdef\@currentlabel{\algocf@algocfref}% let the label use the new ref
+}%
+%
+% Unfortunatly, we also need our own caption to set some specific stuff for special references. But after these
+% settings, we call the original caption.
+%
+\long\def\algocf@caption@algo#1[#2]#3{%
+  \ifthenelse{\equal{\algocf@algocfref}{\relax}}{}{\algocf@captionref}%
+  \@ifundefined{hyper@refstepcounter}{\relax}{% if hyper@refstepcounter undefind, no hyperref, else...
+    \ifthenelse{\equal{\algocf@algocfref}{\relax}}{\renewcommand{\theHalgocf}{\thealgocf}}{% take algocf as Href
+      \renewcommand{\theHalgocf}{\algocf@algocfref}}%else if SetAlgoRefName done, take this name as ref.
+    \hyper@refstepcounter{algocf}%set algocf as category of ref
+  }%
+   \algocf@latexcaption{#1}[{#2}]{{#3}}% call original caption
+}%
+%
+% beamer define is own caption overrinding latex caption!
+% as we need it, we have put here the original definition
+% to handle manual ref, unfortunately we have to add one line to handle algocf@algocfref
+\long\def\algocf@latexcaption#1[#2]#3{% original definition of caption
+  \par%
+  \addcontentsline{\csname ext@#1\endcsname}{#1}%
+  {\protect\numberline{\csname the#1\endcsname}{\ignorespaces #2}}%
+  \begingroup%
+  \@parboxrestore%
+  \if@minipage%
+    \@setminipage%
+  \fi%
+  \normalsize%
+  \@makecaption{\csname fnum@#1\endcsname}{\ignorespaces #3}\par%
+  \endgroup%
+}%
+%
+% \ifx\beamer@makecaption\undefined%
+% \else% beamer detected
+\ifx\@makecaption\undefined%
+\newcommand{\@makecaption}[2]{\relax}%
+\fi%
+%%
+
+%
+% more and more packages redefine \@caption instead of just \@makecaption which makes algorithm2e
+% caption not works since based on standard \@caption. So we force the definition of \@caption to be
+% the standard one (the one from LaTeX) inside algorithm environment.
+%
+% unfortunately, makecaption is called with \ignorespace #3 so 
+% we can't do the @currentlabel definition inside \algocf@captionproctext
+\long\def\algocf@caption@proc#1[#2]#3{%
+  \ifthenelse{\boolean{algocf@nokwfunc}}{\relax}{%
+    \SetKwFunction{\algocf@captname#3@}{\algocf@captname#3@}%
+  }%
+  % we tell hyperref to use algocfproc as category and to take the appropriate ref.
+  \ifthenelse{\boolean{algocf@func}}{\def\@proc@func{algocffunc}}{\def\@proc@func{algocfproc}}%
+  \@ifundefined{hyper@refstepcounter}{\relax}{% if hyper@refstepcounter undefind, no hyperref, else...
+    \ifthenelse{\boolean{algocf@procnumbered}}{% 
+      \expandafter\def\csname theH\@proc@func\endcsname{\algocf@captname#3@}%if procnumbered, take \thealgocf as ref
+    }{%
+      \expandafter\def\csname theH\@proc@func\endcsname{\algocf@captname#3@}%else take procedure or function name
+    }%
+    \hyper@refstepcounter{\@proc@func}%
+  }%
+  \ifthenelse{\boolean{algocf@procnumbered}}{\relax}{%
+    \addtocounter{algocf}{-1}% \caption do a refstepcounter, so we restore the precedent value
+    \gdef\@currentlabel{\algocf@captname#3@}% let the label be the name of the function, not the counter
+  }%
+  \ifthenelse{\equal{\algocf@captparam#2@}{\arg@e}}{% if no paramater, we remove the ()
+    \algocf@latexcaption{#1}[\algocf@procname\nobreakspace\algocf@captname#2@]{#3}%
+  }{%                                                 else we give the complete name
+    \algocf@latexcaption{#1}[\algocf@procname\nobreakspace#2]{#3}%
+  }%
+}%
+%%
+%%% setcaption
+\newcommand{\algocf@setcaption}{%
+  \ifthenelse{\boolean{algocf@procenvironment}}{% if proc environment, caption text must be changed
+    \let\algocf@oldcaptiontext=\algocf@captiontext%
+    \renewcommand{\algocf@captiontext}[2]{%
+      \algocf@captionproctext{##1}{##2}%
+    }%
+  }{}%
+  \let\algocf@savecaption=\@caption%
+  \ifthenelse{\boolean{algocf@procenvironment}}{\let\@caption=\algocf@caption@proc}{\let\@caption=\algocf@caption@algo}%
+  \let\algocf@oldmakecaption=\@makecaption%
+  \renewcommand{\@makecaption}[2]{%
+    \expandafter\csname algocf@makecaption@\algocf@style\endcsname{##1}{##2}%
+  }%
+}%
+%
+%%%%% reset caption
+%
+% since we have force the LaTeX caption for algorithm environment, we must go back to the caption
+% used in the text.
+\newcommand{\algocf@resetcaption}{%
+  \ifthenelse{\boolean{algocf@procenvironment}}{% if proc environment
+    \let\thealgocf=\old@thealgocf% restore normal counter printing
+    \let\algocf@captiontext=\algocf@oldcaptiontext% restore normal caption text
+  }{}%
+  \let\@caption=\algocf@savecaption% now restore caption outside algo/proc/func environment
+  \let\@makecaption=\algocf@oldmakecaption% and restore makecaption outside outside algo/proc/func environment
+  \algocf@resetfnum%
+}%
+%
+%%%%% nocaptionofalgo and restorecaptionofalgo --
+\newcommand{\NoCaptionOfAlgo}{%
+  \let\@old@algocf@captiontext=\algocf@captiontext%
+  \renewcommand{\algocf@captiontext}[2]{\AlCapNameSty{\AlCapNameFnt{}##2}}%
+}%
+\newcommand{\RestoreCaptionOfAlgo}{%
+  \let\algocf@captiontext=\@old@algocf@captiontext%
+}%
+%
+% ----------------------  algocf environment
+%
+\newcounter{algocfline}%                    % new counter to make lines numbers be internally 
+\setcounter{algocfline}{0}%                 % different in different algorithms
+\newcounter{algocfproc}% counter to count all algo environment (proc, func), just used by hyperref to avoir "same
+\setcounter{algocfproc}{0}% identifier" error caused by algocf being set to '-' for procedure or function or not
+  % changed if no caption is given.
+%
+\expandafter\ifx\csname algocf@within\endcsname\relax% if \algocf@within doesn't exist
+\newcounter{algocf}%                        % just define a new counter
+\renewcommand{\thealgocf}{\@arabic\c@algocf}% and the way it is printed
+\else%                                     else
+\newcounter{algocf}[\algocf@within]%        % counter is numbered within \algocf@within
+\renewcommand\thealgocf{\csname the\algocf@within\endcsname.\@arabic\c@algocf}%
+\fi%
+%
+\def\fps@algocf{htbp}%        % default
+\def\ftype@algocf{10}%        % float type
+\def\ext@algocf{\algocf@list} % loa by default, lof if figure option used
+\newcommand{\fnum@algocf}{\AlCapSty{\AlCapFnt\algorithmcfname\nobreakspace\thealgocf}}%
+\newcommand{\algocf@resetfnum}{\renewcommand{\fnum@algocf}{\AlCapSty{\AlCapFnt\algorithmcfname\nobreakspace\thealgocf}}}%
+\newenvironment{algocf}%      % float environment for algorithms
+               {\@float{algocf}}%
+               {\end@float}%
+\newenvironment{algocf*}%     % float* environment for algorithms
+               {\@dblfloat{algocf}}%
+               {\end@dblfloat}%
+%
+\def\algocf@seclistalgo{}%
+\ifx\l@chapter\undefined\let\algocf@seclistalgo=\section\else\let\algocf@seclistalgo=\chapter\fi%
+\@ifundefined{if@restonecol}{\newif\if@restonecol}\relax%
+\newcommand\listofalgocfs{%
+     \ifx\algocf@seclistalgo\chapter%
+      \if@twocolumn\@restonecoltrue\onecolumn\else\@restonecolfalse\fi%
+    \fi%
+     \algocf@seclistalgo*{\listalgorithmcfname}%
+       \@mkboth{\MakeUppercase\listalgorithmcfname}%
+               {\MakeUppercase\listalgorithmcfname}%
+     \@starttoc{loa}%
+    \ifx\algocf@seclistalgo\chapter%
+      \if@restonecol\twocolumn\fi%
+    \fi%
+}
+%
+\newcommand*\l@algocf{\@dottedtocline{1}{1em}{2.3em}}% line of the list
+%
+% ----------------------  algorithm environment
+%
+%%%%%%%
+%%
+%% Algorithm environment definition
+%%
+%%%%%%%
+%%
+%
+\newsavebox\algocf@algoframe%
+\def\@algocf@pre@plain{\relax}%  action to be done before printing the algo.
+\def\@algocf@post@plain{\relax}% action to be done after printing the algo.
+\def\@algocf@capt@plain{bottom}% where the caption should be localized.
+\def\@algocf@pre@boxed{\noindent\begin{lrbox}{\algocf@algoframe}}
+\def\@algocf@post@boxed{\end{lrbox}\framebox[\hsize]{\box\algocf@algoframe}\par}%
+\def\@algocf@capt@boxed{under}%
+\def\@algocf@pre@ruled{\hrule height\algoheightrule depth0pt\kern\interspacetitleruled}%
+\def\@algocf@post@ruled{\kern\interspacealgoruled\hrule height\algoheightrule\relax}%
+\def\@algocf@capt@ruled{top}%
+\def\@algocf@pre@algoruled{\hrule height\algoheightrule depth0pt\kern\interspacetitleruled}%
+\def\@algocf@post@algoruled{\kern\interspacealgoruled\hrule height\algoheightrule \relax}%
+\def\@algocf@capt@algoruled{top}%
+\def\@algocf@pre@tworuled{\hrule height\algoheightrule depth0pt\kern\interspacetitleruled}%
+\def\@algocf@post@tworuled{\kern\interspacealgoruled\hrule height\algoheightrule\relax}%
+\def\@algocf@capt@tworuled{top}%
+\def\@algocf@pre@boxruled{\noindent\begin{lrbox}{\algocf@algoframe}}%
+\def\@algocf@post@boxruled{\end{lrbox}\framebox[\hsize]{\box\algocf@algoframe}\par}%
+\def\@algocf@capt@boxruled{above}%
+\def\@algocf@pre@plainruled{\@algocf@pre@ruled}%  action to be done before printing the algo.
+\def\@algocf@post@plainruled{\@algocf@post@ruled\kern\interspacealgoruled}%  action to be done before printing the algo.
+\def\@algocf@capt@plainruled{under}%
+%
+\newcommand{\noalgocaption}{\def\@algocf@capt@ruled{none}}
+%
+%% before algocf or figure environment
+\newcommand{\@algocf@init@caption}{%
+  \ifthenelse{\boolean{algocf@procenvironment}}{% if we are inside a procedure/function environment
+    \@algocf@proctitleofalgo% set Titleofalgo to Procedure: or Function:
+                            % accordingly to the environment
+    \let\old@thealgocf=\thealgocf\ifthenelse{\boolean{algocf@procnumbered}}{\relax}{%
+      \renewcommand{\thealgocf}{-}}%
+  }{% else inside environment algorithm
+    \@algocf@algotitleofalgo% fix name for \Titleofalgo to \algorithmcfname
+  }%
+  \algocf@setcaption%       set caption to our caption style
+}%
+%
+\newcommand{\@algofloatboxreset}{\@setminipage}
+\newcommand{\@algocf@init}{%
+  \refstepcounter{algocfline}%
+  \stepcounter{algocfproc}%to have a different counter for each environment and being abble to make the difference
+    %between href of algoline in different algorithms.
+  \ifthenelse{\boolean{algocf@optnoend}}{%
+      \renewcommand{\algocf@block}[2]{\algocf@group{##1}}%
+    }{%
+      \renewcommand{\algocf@block}[2]{\algocf@@block{##1}{##2}}%
+    }%
+}%
+%% after the end of algocf or figure environment
+\newcommand{\@algocf@term@caption}{%
+  \algocf@resetcaption% restore original caption
+}%
+%
+\newcommand{\@algocf@term}{%
+  \setboolean{algocf@algoH}{false}% no H by default
+  \ifthenelse{\boolean{algocf@optnoend}}{%
+    \renewcommand{\algocf@block}[2]{\algocf@@block{##1}{##2}}%
+  }{%
+    \renewcommand{\algocf@block}[2]{\algocf@group{##1}}%
+  }%
+  \SetAlgoRefName{\relax}%
+}%
+%
+%%%%%%%%%%%%%%%%%
+%% makethealgo: macro which print effectively the algo in its box
+%% 
+\newsavebox\algocf@algobox%
+\newcommand{\algocf@makethealgo}{%
+  \vtop{%
+    % place caption above if needed  bye the style
+    \ifthenelse{\equal{\csname @algocf@capt@\algocf@style\endcsname}{above}}%
+    {\csname algocf@caption@\algocf@style\endcsname}{}%
+    %
+    % precommand according to the style
+    \csname @algocf@pre@\algocf@style\endcsname%
+    % place caption at top if needed  bye the style
+     \ifthenelse{\equal{\csname @algocf@capt@\algocf@style\endcsname}{top}}%
+     {\csname algocf@caption@\algocf@style\endcsname}{}%
+    %
+    \box\algocf@algobox% the algo
+    % place caption at bottom if needed  bye the style
+     \ifthenelse{\equal{\csname @algocf@capt@\algocf@style\endcsname}{bottom}}%
+     {\csname algocf@caption@\algocf@style\endcsname}{}%
+    % postcommand according to the style
+    \csname @algocf@post@\algocf@style\endcsname%
+    % place caption under if needed  bye the style
+     \ifthenelse{\equal{\csname @algocf@capt@\algocf@style\endcsname}{under}}%
+     {\csname algocf@caption@\algocf@style\endcsname}{}%
+  }%
+}%
+%%%%%%%%%%%%%%%%%%%
+%
+%% at the beginning of algocf or figure environment
+\newenvironment{algomathdisplay}{\[}{\@endalgocfline\]\ifthenelse{\boolean{algocf@linesnumbered}}{\nl}{\relax}}%
+\newcommand{\@algocf@start}{%
+  \@algoskip%
+  \begin{lrbox}{\algocf@algobox}%
+  \setlength{\algowidth}{\hsize}%
+  \vbox\bgroup% save all the algo in a box
+  \hbox to\algowidth\bgroup\hbox to \algomargin{\hfill}\vtop\bgroup%
+  \ifthenelse{\boolean{algocf@slide}}{\parskip 0.5ex\color{black}}{}%
+  % initialization
+  \addtolength{\hsize}{-1.5\algomargin}%
+  \let\@mathsemicolon=\;\def\;{\ifmmode\@mathsemicolon\else\@endalgoln\fi}%
+  \raggedright\AlFnt{}%
+  \ifthenelse{\boolean{algocf@slide}}{\IncMargin{\skipalgocfslide}}{}%
+  \@algoinsideskip%
+%   \let\@emathdisplay=\]\def\]{\algocf@endline\@emathdisplay\nl}%
+}%
+%
+%% at the end of algocf or figure environment
+\newcommand{\@algocf@finish}{%
+  \@algoinsideskip%
+  \egroup%end of vtop which contain all the text
+  \hfill\egroup%end of hbox wich contains [margin][vtop]
+  \ifthenelse{\boolean{algocf@slide}}{\DecMargin{\skipalgocfslide}}{}%
+  %
+  \egroup%end of main vbox
+  \end{lrbox}%
+  \algocf@makethealgo% print the algo
+  \@algoskip%
+  % restore dimension and macros
+  \setlength{\hsize}{\algowidth}%
+  \lineskip\normallineskip\setlength{\skiptotal}{\@defaultskiptotal}%
+  \let\;=\@mathsemicolon%  
+  \let\]=\@emathdisplay%
+}%
+%
+%%%%%%%%%%%%%%%%%%%%
+%% basic definition of the environment algorithm
+%%
+%
+\newboolean{algocf@procenvironment}\setboolean{algocf@procenvironment}{false}%
+\newboolean{algocf@func}\setboolean{algocf@func}{false}%
+\newboolean{algocf@algoH}\setboolean{algocf@algoH}{false}%
+\newboolean{algocf@algostar}\setboolean{algocf@algostar}{false}%
+%
+%%% environment for {algorithm}[H]
+\newenvironment{algocf@Here}{\noindent%
+  \def\@captype{algocf}% if not defined, caption exit with an error
+  \begin{minipage}{\hsize}%
+}{%
+  \end{minipage}%\par%
+}%
+%%% real algorithm environment which manages H and * option
+%    \let\algocf@originalfloatboxreset=\@floatboxreset%
+%    \let\@floatboxreset=\@algofloatboxreset%
+\newenvironment{algocf@algorithm}[1][htbp]{
+   \@algocf@init%
+   \ifthenelse{\equal{\algocf@float}{figure}}{% if option figure set
+     \ifthenelse{\boolean{algocf@algostar}}{% if algorithm* with figure option
+       \begin{figure*}[#1]% call figure*
+     }{% else algorithm environment with figure option
+       \begin{figure}[#1]%  call figure
+     }%
+   }{% else normal algorithm environment
+     \@algocf@init@caption%
+     \ifthenelse{\equal{#1}{H}}{% if [H] algorithm
+       \if@twocolumn\@latex@error{[H] in two columns mode is not allowed for algorithms}\fi% TODO: SCREAM if H in two colums!
+       \setboolean{algocf@algoH}{true}\begin{algocf@Here}% call corresponding environment
+     }{% else floating algorithm environment
+       \ifthenelse{\boolean{algocf@algostar}}{% if algorithm*
+         \begin{algocf*}[#1]% call algocf*
+       }{% else algorithm environment
+         \begin{algocf}[#1]%  call algcf
+       }%
+     }%
+   }% fin test option figure ou pas
+   \@algocf@start% 
+   \@ResetCounterIfNeeded%
+   \algocf@linesnumbered\ignorespaces%
+}{%
+  \@algocf@finish%
+  \ifthenelse{\equal{\algocf@float}{figure}}{%
+     \ifthenelse{\boolean{algocf@algostar}}{% if algorithm* with figure option
+       \end{figure*}% call figure*
+     }{% else algorithm environment with figure option
+       \end{figure}%  call figure
+     }%
+  }{%
+    \@algocf@term@caption%
+    \ifthenelse{\boolean{algocf@algoH}}{% if [H] algorithm
+       \end{algocf@Here}\par% call corresponding environment
+     }{% else floating algorithm environment
+       \ifthenelse{\boolean{algocf@algostar}}{% if algorithm*
+         \end{algocf*}% call algocf*
+       }{% else algorithm environment
+         \end{algocf}%  call algocf
+       }%
+     }%
+  }%
+  \@algocf@term\ignorespacesafterend%
+}%
+%
+%%% user algorithm environment
+\newenvironment{\algocf@envname}[1][htbp]{%
+  \setboolean{algocf@algostar}{false}%
+  \setboolean{algocf@procenvironment}{false}\gdef\algocfautorefname{\algorithmautorefname}%
+  \begin{algocf@algorithm}[#1]\ignorespaces%
+}{%
+  \end{algocf@algorithm}\ignorespacesafterend%
+}%
+%%% user algorithm* environment
+\newenvironment{\algocf@envname*}[1][htbp]{%
+  \setboolean{algocf@algostar}{true}%
+  \setboolean{algocf@procenvironment}{false}\gdef\algocfautorefname{\algorithmautorefname}%
+  \begin{algocf@algorithm}[#1]\ignorespaces%
+}{%
+  \end{algocf@algorithm}\ignorespacesafterend%
+}%
+%
+%%%%%%%%%%%%%%%%%%%%%%%
+%%%
+%
+\expandafter\newcommand\csname\algocf@listofalgorithms\endcsname{%
+  \ifthenelse{\equal{\algocf@float}{figure}}{\listoffigures}{\listofalgocfs}%
+}%
+%%%
+%%%
+%
+% ----------------------  procedure and function environments
+%
+%
+% -- new style (used in particular in the caption of function and procedure environments)
+%
+% three macros to extract parts of the caption
+\gdef\algocf@captname#1(#2)#3@{#1}  % keep characters before the first brace
+\gdef\algocf@captparam#1(#2)#3@{#2} % keep character in between the braces
+\gdef\algocf@captother#1(#2)#3@{#3} % keep character after the braces
+%
+%%% Text of caption for Procedure or Function
+\newcommand{\algocf@captionproctext}[2]{%
+  {%
+    \ProcSty{\ProcFnt\algocf@procname\ifthenelse{\boolean{algocf@procnumbered}}{\nobreakspace\thealgocf\algocf@typo\algocf@capseparator}{\relax}}%
+    \nobreakspace\ProcNameSty{\ProcNameFnt\algocf@captname #2@}% Name of the procedure in ProcName Style. 
+    \ifthenelse{\equal{\algocf@captparam #2@}{\arg@e}}{}{% if no argument, write nothing
+      \ProcNameSty{\ProcNameFnt(}\ProcArgSty{\ProcArgFnt\algocf@captparam #2@}\ProcNameSty{\ProcNameFnt)}%else put arguments in ProcArgSty:
+    }% endif
+    \algocf@captother #2@%
+  }%
+}%
+%
+%
+% -- procedure and function environments are defined from algocf@algorithm environment
+%
+\newenvironment{procedure}[1][htbp]{%
+  \setboolean{algocf@algostar}{false}%
+  \setboolean{algocf@procenvironment}{true}\setboolean{algocf@func}{false}%
+  \newcommand{\algocf@procname}{\@algocf@procname}\gdef\algocfprocautorefname{\procedureautorefname}%
+  \begin{algocf@algorithm}[#1]\ignorespaces%
+}{%
+  \end{algocf@algorithm}\ignorespacesafterend%
+}%
+\newenvironment{function}[1][htbp]{%
+  \setboolean{algocf@algostar}{false}%
+  \setboolean{algocf@procenvironment}{true}\setboolean{algocf@func}{true}%
+  \newcommand{\algocf@procname}{\@algocf@funcname}\gdef\algocffuncautorefname{\functionautorefname}%
+  \begin{algocf@algorithm}[#1]\ignorespaces%
+}{%
+  \end{algocf@algorithm}\ignorespacesafterend%
+}%
+%
+\newenvironment{procedure*}[1][htbp]{%
+  \setboolean{algocf@algostar}{true}%
+  \setboolean{algocf@procenvironment}{true}\setboolean{algocf@func}{false}%
+  \newcommand{\algocf@procname}{\@algocf@procname}\gdef\algocfprocautorefname{\procedureautorefname}%
+  \begin{algocf@algorithm}[#1]\ignorespaces%
+}{%
+  \end{algocf@algorithm}\ignorespacesafterend%
+}%
+\newenvironment{function*}[1][htbp]{%
+  \setboolean{algocf@algostar}{true}%
+  \setboolean{algocf@procenvironment}{true}\setboolean{algocf@func}{true}%
+  \newcommand{\algocf@procname}{\@algocf@funcname}\gdef\algocffuncautorefname{\functionautorefname}%
+  \begin{algocf@algorithm}[#1]\ignorespaces%
+}{%
+  \end{algocf@algorithm}\ignorespacesafterend%
+}%
+%
+%
+%%%%%%%%%%%%%%%%%%%%
+%% definition of algondfloat environment
+%%
+\ifthenelse{\boolean{algocf@endfloat}}{% if endfloat option then
+\newcommand{\algoplace}{% macro which is used to writhe algorithm about there
+   \begin{center}%
+     [\algorithmcfname~\thepostfig\ about here.]%
+   \end{center}%
+}%
+\newcommand{\algoendfloat}{% use as a \begin{algoendfloat} environment to start scanning of line
+%  \immediate\openout\@mainfff\jobname.fff%
+  \efloat@condopen{fff}
+  \efloat@iwrite{fff}{\string\begin{\algocf@envname}}%
+    \if@domarkers%
+       \ifthenelse{\equal{\algocf@list}{lof}}{%
+         \addtocounter{postfig}{1}%
+       }{%
+         \addtocounter{postalgo}{1}%
+       }%
+       \algoplace%
+    \fi%
+    \bgroup%
+    \let\do\ef@makeinnocent\dospecials%
+    \ef@makeinnocent\^^L% and whatever other special cases
+    \endlinechar`\^^M \catcode`\^^M=12 \ef@xalgocfendfloat}%
+}{\relax}%%%% end of endfloat option ifthenelse
+%% some macros useful for endfloat option that cannot be defined inside the ifthenelse
+%scan algoendfloat algorithm and write the text into .fff file
+{\catcode`\^^M=12 \endlinechar=-1 %
+ \gdef\ef@xalgocfendfloat#1^^M{% scan the lines inside algoendfloat environment being read by latex
+   \def\test{#1}% test is the line being currently scan by latex
+   \ifx\test\ef@endalgocftest% if it is \end{algoendfloat}
+     \def\next{% define next as to not continue the scan and write \end{algorithm} into .fff file
+       \egroup\end{algoendfloat}%
+       \efloat@iwrite{fff}{\string\end{\algocf@envname}}%
+       \efloat@iwrite{fff}{\string\efloatseparator}%
+       \efloat@iwrite{fff}{ }%
+     }%
+     \else% else write the current line being scanned by latex and set next to continue the scan
+       \efloat@iwrite{fff}{#1}%
+       \let\next\ef@xalgocfendfloat%
+     \fi% endif
+     \next}% next is continue if it was else condition, else it does not continue the scan and write end to file
+}%
+% test if the scan is finish by looking at the string \end{algoendfloat}
+{\escapechar=-1%
+ \xdef\ef@endalgocftest{\string\\end\string\{algoendfloat\string\}}%
+}%
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% 
+\newcommand{\TitleOfAlgo}[1]{\@titleprefix\ 
+  \TitleSty{#1}\par\smallskip}%
+%
+\newcommand{\SetAlgorithmName}[3]{%
+  \renewcommand{\listalgorithmcfname}{#3}%
+  \renewcommand{\algorithmcfname}{#1}%
+  \renewcommand{\algorithmautorefname}{#2}%
+}%
+%
+\newcommand{\algocf@refrelsize}{-2}\newcommand{\SetAlgoRefRelativeSize}[1]{\renewcommand{\algocf@refrelsize}{#1}}%
+\newcommand{\SetAlgoRefName}[1]{%
+  \renewcommand{\algocf@algocfref}{#1}%
+}%
+%
+%
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% 
+% -------------------------   Default Definitions
+%
+%%
+%%
+%
+\SetKwComment{tcc}{/* }{ */}%
+\SetKwComment{tcp}{// }{}%
+%
+%\newcommand{\algocf@defaults@common}{
+%
+%
+% french keywords
+%
+%\SetKwInOut{AlgDonnees}{Donn\'ees}\SetKwInOut{AlgRes}{R\'esultat}
+\SetKwHangingKw{HDonnees}{Donnees$\rightarrow$}
+\SetKwInput{Donnees}{Donn\'ees}%
+\SetKwInput{Res}{R\'esultat}%
+\SetKwInput{Entree}{Entr\'ees}%
+\SetKwInput{Sortie}{Sorties}%
+\SetKw{KwA}{\`a}%
+\SetKw{Retour}{retourner}%
+\SetKwBlock{Deb}{d\'ebut}{fin}%
+\SetKwRepeat{Repeter}{r\'ep\'eter}{jusqu'\`a}%
+%
+\SetKwIF{Si}{SinonSi}{Sinon}{si}{alors}{sinon si}{sinon}{fin si}%
+\SetKwSwitch{Suivant}{Cas}{Autre}{suivant}{faire}{cas o\`u}{autres cas}{fin cas}{fin d'alternative}%
+\SetKwFor{Pour}{pour}{faire}{fin pour}%
+\SetKwFor{PourPar}{pour}{faire en parall\`ele}{fin pour}%
+\SetKwFor{PourCh}{pour chaque}{faire}{fin pour chaque}%
+\SetKwFor{PourTous}{pour tous les}{faire}{fin pour tous}%
+\SetKwFor{Tq}{tant que}{faire}{fin tq}%
+%
+% english keywords
+%
+\SetKwHangingKw{KwHData}{Data$\rightarrow$}
+\SetKwInput{KwIn}{Input}%
+\SetKwInput{KwOut}{Output}%
+\SetKwInput{KwData}{Data}%
+\SetKwInput{KwResult}{Result}%
+\SetKw{KwTo}{to}
+\SetKw{KwRet}{return}%
+\SetKw{Return}{return}%
+\SetKwBlock{Begin}{begin}{end}%
+\SetKwRepeat{Repeat}{repeat}{until}%
+%
+\SetKwIF{If}{ElseIf}{Else}{if}{then}{else if}{else}{end if}%
+\SetKwSwitch{Switch}{Case}{Other}{switch}{do}{case}{otherwise}{end case}{end switch}%
+\SetKwFor{For}{for}{do}{end for}%
+\SetKwFor{ForPar}{for}{do in parallel}{end forpar}
+\SetKwFor{ForEach}{foreach}{do}{end foreach}%
+\SetKwFor{ForAll}{forall the}{do}{end forall}%
+\SetKwFor{While}{while}{do}{end while}%
+%
+% --- German keywords
+%
+\SetKwInput{Ein}{Eingabe}%KwIn
+\SetKwInput{Aus}{Ausgabe}%KwOut
+\SetKwInput{Daten}{Daten}%KwData
+\SetKwInput{Ergebnis}{Ergebnis}%KwResult
+\SetKw{Bis}{bis}%KwTo
+\SetKw{KwZurueck}{zur\"uck}%KwRet
+\SetKw{Zurueck}{zur\"uck}%Return
+\SetKwBlock{Beginn}{Beginn}{Ende}%Begin
+\SetKwRepeat{Wiederh}{wiederhole}{bis}%Repeat
+%
+\SetKwIF{Wenn}{SonstWenn}{Sonst}{wenn}{dann}{sonst wenn}{sonst}{Ende wenn}%gIf
+\SetKwSwitch{Unterscheide}{Fall}{Anderes}{unterscheide}{tue}{Fall}{sonst}{Ende Fall}{Ende Unt.}%Switch
+\SetKwFor{Fuer}{f\"ur}{tue}{Ende f\"ur}%For
+\SetKwFor{FuerPar}{f\"ur}{tue gleichzeitig}{Ende gleichzeitig}%ForPar
+\SetKwFor{FuerJedes}{f\"ur jedes}{tue}{Ende f\"ur}%ForEach
+\SetKwFor{FuerAlle}{f\"ur alle}{tue}{Ende f\"ur}%ForAll
+\SetKwFor{Solange}{solange}{tue}{Ende solange}%While
+%
+% --- Czech keywords
+%
+\SetKwInput{Vst}{Vstup}%
+\SetKwInput{Vyst}{V\'{y}stup}%
+\SetKwInput{Vysl}{V\'{y}sledek}%
+%
+% --- Portuguese keywords
+%
+\SetKwInput{Entrada}{Entrada}%
+\SetKwInput{Saida}{Sa\'{i}da}%
+\SetKwInput{Dados}{Dados}%
+\SetKwInput{Resultado}{Resultado}%
+\SetKw{Ate}{at\'{e}}
+\SetKw{KwRetorna}{retorna}%
+\SetKw{Retorna}{retorna}%
+\SetKwBlock{Inicio}{in\'{i}cio}{fim}%
+\SetKwRepeat{Repita}{repita}{at\'{e}}%
+%
+\SetKwIF{Se}{SenaoSe}{Senao}{se}{ent\~{a}o}{sen\~{a}o se}{sen\~{a}o}{fim se}%
+\SetKwSwitch{Selec}{Caso}{Outro}{selecione}{fa\c{c}a}{caso}{sen\~{a}o}{fim caso}{fim selec}%
+\SetKwFor{Para}{para}{fa\c{c}a}{fim para}%
+\SetKwFor{ParaPar}{para}{fa\c{c}a em paralelo}{fim para}
+\SetKwFor{ParaCada}{para cada}{fa\c{c}a}{fim para cada}%
+\SetKwFor{ParaTodo}{para todo}{fa\c{c}a}{fim para todo}%
+\SetKwFor{Enqto}{enquanto}{fa\c{c}a}{fim enqto}%
+%
+% --- Italian keywords
+%
+\SetKwInput{KwIng}{Ingresso}%
+\SetKwInput{KwUsc}{Uscita}%
+\SetKwInput{KwDati}{Dati}%
+\SetKwInput{KwRisult}{Risultato}%
+\SetKw{KwA}{a}%
+\SetKw{KwRitorna}{ritorna}%
+\SetKw{Ritorna}{ritorna}%
+\SetKwBlock{Inizio}{inizio}{fine}%
+\SetKwRepeat{Ripeti}{ripeti}{finch\'e}%
+%
+\SetKwIF{Sea}{AltSe}{Altrimenti}{se}{allora}{altrimenti se}{allora}{fine se}%
+\SetKwSwitch{Switch}{Case}{Other}{switch}{do}{case}{otherwise}{end case}{endsw}%
+\SetKwFor{Per}{per}{fai}{fine per}%
+\SetKwFor{PerPar}{per}{fai in parallelo}{fine per}%
+\SetKwFor{PerCiascun}{per ciascun}{fai}{fine per ciascun}%
+\SetKwFor{PerTutti}{per tutti i}{fai}{fine per tutti}%
+\SetKwFor{Finche}{finch\'e}{fai}{fine finch\'e}%
+%
+% --- Spanish keywords
+%
+\SetKwInput{Datos}{Datos}
+\SetKwInput{Resultado}{Resultado}
+\SetKwInput{Entrada}{Entrada}
+\SetKwInput{Salida}{Salida}
+\SetKw{KwA}{a}
+\SetKw{KwDevolver}{devolver}
+\SetKw{Devolver}{devolver}
+\SetKwBlock{Inicio}{inicio}{fin}
+\SetKwIF{SSi}{EnOtroCasoSi}{EnOtroCaso}{si}{entonces}{sin\'o, si}{sin\'o}{fin si}
+\SetKwSwitch{Seleccionar}{Caso}{Otro}{seleccionar}{hacer}{caso}{sin\'o}{fin caso}{fin seleccionar}
+\SetKwFor{Para}{para}{hacer}{fin para}
+\SetKwFor{ParaPara}{par}{hacer en paralelo}{fin para}
+\SetKwFor{EnParalelo}{para}{hacer en paralelo}{fin para}
+\SetKwFor{Mientras}{mientras}{hacer}{fin mientras}
+\SetKwFor{ParaCada}{para cada}{hacer}{fin para cada}
+\SetKwFor{ParaTodo}{para todo}{hacer}{fin para todo}
+\SetKwRepeat{Repetir}{repetir}{hasta que}
+%
+% Croatian keywords
+%
+\SetKwInput{KwUlaz}{Ulaz}%KwIn
+\SetKwInput{KwIzlaz}{Izlaz}%KwOut
+\SetKwInput{KwPodaci}{Podaci}%KwData
+\SetKwInput{KwRezultat}{Rezultat}%KwResult
+\SetKw{KwDo}{do}%KwTo
+\SetKw{KwVrati}{vrati}%KwRet
+\SetKw{Vrati}{vrati}%Return
+\SetKwBlock{Pocetak}{po\v{c}etak}{kraj}%Begin
+\SetKwRepeat{Ponavljaj}{ponavljaj}{dok ne bude}%Repeat
+%
+\SetKwIF{Ako}{InaceAko}{Inace}{ako}{onda}{ina\v{c}e ako}{ina\v{c}e}{kraj}%gIf
+\SetKwSwitch{Granaj}{Slucaj}{Inace}{granaj}{\v{c}ini}{slu\v{c}aj}{ina\v{c}e}{kraj}{kraj}%Switch
+\SetKwFor{Za}{za}{\v{c}ini}{kraj}%For
+\SetKwFor{ZaPar}{za}{izvr\v{s}avaj paralelno}{kraj}%ForPar
+\SetKwFor{ZaSvaki}{za svaki}{\v{c}ini}{kraj}%mForEach
+\SetKwFor{ZaSvaku}{za svaku}{\v{c}ini}{kraj}%fForEach
+\SetKwFor{ZaSvako}{za svako}{\v{c}ini}{kraj}%nForEach
+\SetKwFor{ZaSve}{za sve}{\v{c}ini}{kraj}%ForAll
+\SetKwFor{Dok}{dok}{\v{c}ini}{kraj}%While
+%
+% --- End 
+%}
+%
+%\algocf@defaults@common
+%
+% option onelanguage redefinition
+%
+\ifthenelse{\boolean{algocf@optonelanguage}\AND\equal{\algocf@languagechoosen}{french}}{%
+\SetKwInput{KwIn}{Entr\'ees}%
+\SetKwInput{KwOutSortie}{Sorties}%
+\SetKwInput{KwData}{Donn\'ees}%
+\SetKwInput{KwResult}{R\'esultat}%
+\SetKw{KwTo}{\`a}%
+\SetKw{KwRet}{retourner}%
+\SetKw{Return}{retourner}%
+\SetKwBlock{Begin}{d\'ebut}{fin}%
+\SetKwRepeat{Repeat}{r\'ep\'eter}{jusqu'\`a}%
+%
+\SetKwIF{If}{ElseIf}{Else}{si}{alors}{sinon si}{sinon}{fin si}%
+\SetKwSwitch{Switch}{Case}{Other}{suivant}{faire}{cas o\`u}{autres cas}{fin cas}{fin d'alternative}%
+\SetKwFor{For}{pour}{faire}{fin pour}%
+\SetKwFor{ForPar}{pour}{faire en parall\`ele}{fin pour}%
+\SetKwFor{ForEach}{pour chaque}{faire}{fin pour chaque}%
+\SetKwFor{ForAll}{pour tous les}{faire}{fin pour tous}%
+\SetKwFor{While}{tant que}{faire}{fin tq}%
+}{}%
+\ifthenelse{\boolean{algocf@optonelanguage}\AND\equal{\algocf@languagechoosen}{german}}{%
+\SetKwInput{KwIn}{Eingabe}%KwIn
+\SetKwInput{KwOut}{Ausgabe}%KwOut
+\SetKwInput{KwData}{Daten}%KwData
+\SetKwInput{KwResult}{Ergebnis}%KwResult
+\SetKw{KwTo}{bis}%KwTo
+\SetKw{KwRet}{zur\"uck}%KwRet
+\SetKw{Return}{zur\"uck}%Return
+\SetKwBlock{Begin}{Beginn}{Ende}%Begin
+\SetKwRepeat{Repeat}{wiederhole}{bis}%Repeat
+%
+\SetKwIF{If}{ElseIf}{Else}{wenn}{dann}{sonst wenn}{sonst}{Ende wenn}%gIf
+\SetKwSwitch{Switch}{Case}{Other}{unterscheide}{tue}{Fall}{sonst}{Ende Fall}{Ende Unt.}%Switch
+\SetKwFor{For}{f\"ur}{tue}{Ende f\"ur}%For
+\SetKwFor{ForPar}{f\"ur}{tue gleichzeitig}{Ende gleichzeitig}%ForPar
+\SetKwFor{ForEach}{f\"ur jedes}{tue}{Ende f\"ur}%ForEach
+\SetKwFor{ForAll}{f\"ur alle}{tue}{Ende f\"ur}%ForAll
+\SetKwFor{While}{solange}{tue}{Ende solange}%While
+}{}%
+\ifthenelse{\boolean{algocf@optonelanguage}\AND\equal{\algocf@languagechoosen}{portuguese}}{%
+\SetKwInput{KwIn}{Entrada}%
+\SetKwInput{KwOut}{Sa\'{i}da}%
+\SetKwInput{KwData}{Dados}%
+\SetKwInput{KwResult}{Resultado}%
+\SetKw{KwTo}{at\'{e}}
+\SetKw{KwRet}{retorna}%
+\SetKw{Return}{retorna}%
+\SetKwBlock{Begin}{in\'{i}cio}{fim}%
+\SetKwRepeat{Repeat}{repita}{at\'{e}}%
+%
+\SetKwIF{If}{ElseIf}{Else}{se}{ent\~{a}o}{sen\~{a}o se}{sen\~{a}o}{fim se}%
+\SetKwSwitch{Switch}{Case}{Other}{selecione}{fa\c{c}a}{caso}{sen\~{a}o}{fim caso}{fim selec}%
+\SetKwFor{For}{para}{fa\c{c}a}{fim para}%
+\SetKwFor{ForPar}{para}{fa\c{c}a em paralelo}{fim para}
+\SetKwFor{ForEach}{para cada}{fa\c{c}a}{fim para cada}%
+\SetKwFor{ForAll}{para todo}{fa\c{c}a}{fim para todo}%
+\SetKwFor{While}{enquanto}{fa\c{c}a}{fim enqto}%
+}{}%
+\ifthenelse{\boolean{algocf@optonelanguage}\AND\equal{\algocf@languagechoosen}{italiano}}{%
+\SetKwInput{KwIn}{Ingresso}%
+\SetKwInput{KwOut}{Uscita}%
+\SetKwInput{KwData}{Dati}%
+\SetKwInput{KwResult}{Risultato}%
+\SetKw{KwTo}{a}%
+\SetKw{KwRet}{ritorna}%
+\SetKw{Return}{ritorna}%
+\SetKwBlock{Begin}{inizio}{fine}%
+\SetKwRepeat{Repeat}{ripeti}{finch\'e}%
+%
+\SetKwIF{If}{ElseIf}{Else}{se}{allora}{altrimenti se}{allora}{fine se}%
+\SetKwSwitch{Switch}{Case}{Other}{switch}{do}{case}{otherwise}{end case}{endsw}%
+\SetKwFor{For}{per}{fai}{fine per}%
+\SetKwFor{ForPar}{per}{fai in parallelo}{fine per}%
+\SetKwFor{ForEach}{per ciascun}{fai}{fine per ciascun}%
+\SetKwFor{ForAll}{per tutti i}{fai}{fine per tutti}%
+\SetKwFor{While}{finch\'e}{fai}{fine finch\'e}%
+}{}%
+\ifthenelse{\boolean{algocf@optonelanguage}\AND\equal{\algocf@languagechoosen}{spanish}}{%
+\SetKwInput{KwIn}{Entrada}%
+\SetKwInput{KwOut}{Salida}%
+\SetKwInput{KwData}{Datos}%
+\SetKwInput{KwResult}{Resultado}%
+\SetKw{KwTo}{a}%
+\SetKw{KwRet}{devolver}%
+\SetKw{Return}{devolver}%
+\SetKwBlock{Begin}{inicio}{fin}%
+\SetKwRepeat{Repeat}{repetir}{hasta que}%
+%
+\SetKwIF{If}{ElseIf}{Else}{si}{entonces}{sin\'o, si}{en otro caso}{fin si}
+\SetKwSwitch{Switch}{Case}{Other}{seleccionar}{hacer}{caso}{sin\'o}{fin caso}{fin seleccionar}
+\SetKwFor{For}{per}{fai}{fine per}%
+\SetKwFor{ForPar}{par}{hacer in paralelo}{fin para}%
+\SetKwFor{ForEach}{para cada}{hacer}{fin para cada}
+\SetKwFor{ForAll}{para todo}{hacer}{fin para todo}
+\SetKwFor{While}{mientras}{hacer}{fin mientras}
+}{}%
+%
+\ifthenelse{\boolean{algocf@optonelanguage}\AND\equal{\algocf@languagechoosen}{croatian}}{%
+\SetKwInput{KwIn}{Ulaz}%KwIn
+\SetKwInput{KwOut}{Izlaz}%KwOut
+\SetKwInput{KwData}{Podaci}%KwData
+\SetKwInput{KwResult}{Rezultat}%KwResult
+\SetKw{KwTo}{do}%KwTo
+\SetKw{KwRet}{vrati}%KwRet
+\SetKw{Return}{vrati}%Return
+\SetKwBlock{Begin}{po\v{c}etak}{kraj}%Begin
+\SetKwRepeat{Repeat}{ponavljaj}{dok ne bude}%Repeat
+%
+\SetKwIF{If}{ElseIf}{Else}{ako}{onda}{ina\v{c}e ako}{ina\v{c}e}{kraj}%gIf
+\SetKwSwitch{Switch}{Case}{Other}{granaj}{\v{c}ini}{slu\v{c}aj}{ina\v{c}e}{kraj}{kraj}%Switch
+\SetKwFor{For}{za}{\v{c}ini}{kraj}%For
+\SetKwFor{ForPar}{za}{izvr\v{s}avaj paralelno}{kraj}%ForPar
+\SetKwFor{ForEach}{za svaki}{\v{c}ini}{kraj}%ForEach
+\SetKwFor{ForAll}{za sve}{\v{c}ini}{kraj}%ForAll
+\SetKwFor{While}{dok}{\v{c}ini}{kraj}%While
+}{}%
+%
+%%%% old commands compatibility
+%
+\ifthenelse{\boolean{algocf@oldcommands}}{%
+\newcommand{\SetNoLine}{\SetAlgoNoLine}%
+\newcommand{\SetNoline}{\SetAlgoNoLine}%
+\newcommand{\SetVline}{\SetAlgoVlined}%
+\newcommand{\SetLine}{\SetAlgoLined}%
+%
+\newcommand{\dontprintsemicolon}{\DontPrintSemicolon}%
+\newcommand{\printsemicolon}{\PrintSemicolon}%
+\newcommand{\incmargin}[1]{\IncMargin{#1}}%
+\newcommand{\decmargin}[1]{\DecMargin{-#1}}%
+\newcommand{\setnlskip}[1]{\SetNlSkip{#1}}%
+\newcommand{\Setnlskip}[1]{\SetNlSkip{#1}}%
+\newcommand{\setalcapskip}[1]{\SetAlCapSkip{#1}}%
+\newcommand{\setalcaphskip}[1]{\SetAlCapHSkip{#1}}%
+\newcommand{\nlSty}[1]{\NlSty{#1}}%
+\newcommand{\Setnlsty}[3]{\SetNlSty{#1}{#2}{#3}}%
+\newcommand{\linesnumbered}{\LinesNumbered}%
+\newcommand{\linesnotnumbered}{\LinesNotNumbered}%
+\newcommand{\linesnumberedhidden}{\LinesNumberedHidden}%
+\newcommand{\showln}{\ShowLn}%
+\newcommand{\showlnlabel}[1]{\ShowLnLabel{#1}}%
+\newcommand{\nocaptionofalgo}{\NoCaptionOfAlgo}%
+\newcommand{\restorecaptionofalgo}{\RestoreCaptionOfAlgo}%
+\newcommand{\restylealgo}[1]{\RestyleAlgo{#1}}%
+%
+\newcommand{\Titleofalgo}[1]{\TitleOfAlgo{#1}}%
+% \SetKwIF{If}{ElseIf}{Else}{if}{then}{else if}{else}{endif}
+\newcommand{\SetKwIf}[6]{\SetKwIF{#1}{#2#1}{#2}{#3}{#4}{#5 #1}{#5}{#6}}
+%
+\SetKwIF{gSi}{gSinonSi}{gSinon}{si}{alors}{sinon si}{sinon}{fin si}%
+\SetKwIF{gIf}{gElsIf}{gElse}{if}{then}{else if}{else}{end if}%
+\SetKwIF{gIf}{gElseIf}{gElse}{if}{then}{else if}{else}{end if}%
+\SetKwIF{gWenn}{gSonstWenn}{gSonst}{wenn}{dann}{sonst wenn}{sonst}{Ende wenn}%gIf
+\SetKwIF{gSe}{gSenaoSe}{gSenao}{se}{ent\~{a}o}{sen\~{a}o se}{sen\~{a}o}{fim se}%
+\SetKwIF{gSea}{gAltSe}{gAltrimenti}{se}{allora}{altrimenti se}{allora}{fine se}%
+\SetKw{Ret}{return}%
+\SetKwInput{Data}{Data}%
+\SetKwInput{Result}{Result}%
+}{%
+  \relax%
+}%
+%
+%
+%
+%%
+%%%
+%%%% END
\ No newline at end of file
diff --git a/algorithmic.sty b/algorithmic.sty
new file mode 100644
index 0000000..a8ea254
--- /dev/null
+++ b/algorithmic.sty
@@ -0,0 +1,192 @@
+% ALGORITHMIC STYLE for LaTeX version 2e
+%
+% This style file is free software; you can redistribute it and/or
+% modify it under the terms of the GNU Lesser General Public
+% License as published by the Free Software Foundation; either
+% version 2 of the License, or (at your option) any later version.
+%
+% This style file is distributed in the hope that it will be useful,
+% but WITHOUT ANY WARRANTY; without even the implied warranty of
+% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+% Lesser General Public License for more details.
+%
+% You should have received a copy of the GNU Lesser General Public
+% License along with this style file; if not, write to the
+% Free Software Foundation, Inc., 59 Temple Place - Suite 330,
+% Boston, MA  02111-1307, USA.
+%
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{algorithmic}[2006/06/02]
+\typeout{Document Style `algorithmic' - environment}
+%
+\RequirePackage{ifthen}
+\RequirePackage{calc}
+\RequirePackage{keyval}
+\newboolean{ALC@noend}
+\setboolean{ALC@noend}{false}
+\newcounter{ALC@line}
+\newcounter{ALC@rem}
+\newcounter{ALC@depth}
+\newlength{\ALC@tlm}
+%
+\DeclareOption{noend}{\setboolean{ALC@noend}{true}}
+%
+\ProcessOptions
+%
+% For keyval-style options
+\def\algsetup{\setkeys{ALG}}
+%
+% For indentation of algorithms
+\newlength{\algorithmicindent}
+\setlength{\algorithmicindent}{0pt}
+\define@key{ALG}{indent}{\setlength{\algorithmicindent}{#1}}
+\ifthenelse{\lengthtest{\algorithmicindent=0pt}}%
+        {\setlength{\algorithmicindent}{1em}}{}
+%
+% For line numbers' delimiters
+\newcommand{\ALC@linenodelimiter}{:}
+\define@key{ALG}{linenodelimiter}{\renewcommand{\ALC@linenodelimiter}{#1}}
+
+%
+% For line numbers' size
+\newcommand{\ALC@linenosize}{\footnotesize}
+\define@key{ALG}{linenosize}{\renewcommand{\ALC@linenosize}{#1}}
+
+%
+% ALGORITHMIC
+\newcommand{\algorithmicrequire}{\textbf{Require:}}
+\newcommand{\algorithmicensure}{\textbf{Ensure:}}
+\newcommand{\algorithmiccomment}[1]{\{#1\}}
+\newcommand{\algorithmicend}{\textbf{end}}
+\newcommand{\algorithmicif}{\textbf{if}}
+\newcommand{\algorithmicthen}{\textbf{then}}
+\newcommand{\algorithmicelse}{\textbf{else}}
+\newcommand{\algorithmicelsif}{\algorithmicelse\ \algorithmicif}
+\newcommand{\algorithmicendif}{\algorithmicend\ \algorithmicif}
+\newcommand{\algorithmicfor}{\textbf{for}}
+\newcommand{\algorithmicforall}{\textbf{for all}}
+\newcommand{\algorithmicdo}{\textbf{do}}
+\newcommand{\algorithmicendfor}{\algorithmicend\ \algorithmicfor}
+\newcommand{\algorithmicwhile}{\textbf{while}}
+\newcommand{\algorithmicendwhile}{\algorithmicend\ \algorithmicwhile}
+\newcommand{\algorithmicloop}{\textbf{loop}}
+\newcommand{\algorithmicendloop}{\algorithmicend\ \algorithmicloop}
+\newcommand{\algorithmicrepeat}{\textbf{repeat}}
+\newcommand{\algorithmicuntil}{\textbf{until}}
+\newcommand{\algorithmicprint}{\textbf{print}}
+\newcommand{\algorithmicreturn}{\textbf{return}}
+\newcommand{\algorithmictrue}{\textbf{true}}
+\newcommand{\algorithmicfalse}{\textbf{false}}
+\def\ALC@setref{%
+  \def\@currentlabel{\theALC@line}%
+}
+\def\ALC@item[#1]{%
+\if@noparitem \@donoparitem
+  \else \if@inlabel \indent \par \fi
+         \ifhmode \unskip\unskip \par \fi
+         \if@newlist \if@nobreak \@nbitem \else
+                        \addpenalty\@beginparpenalty
+                        \addvspace\@topsep \addvspace{-\parskip}\fi
+           \else \addpenalty\@itempenalty \addvspace\itemsep
+          \fi
+    \global\@inlabeltrue
+\fi
+\everypar{\global\@minipagefalse\global\@newlistfalse
+          \if@inlabel\global\@inlabelfalse \hskip -\parindent \box\@labels
+             \penalty\z@ \fi
+          \everypar{}}\global\@nobreakfalse
+\if@noitemarg \@noitemargfalse \if@nmbrlist \refstepcounter{\@listctr}\fi \fi
+\sbox\@tempboxa{\makelabel{#1}}%
+\global\setbox\@labels
+ \hbox{\unhbox\@labels \hskip \itemindent
+       \hskip -\labelwidth \hskip -\ALC@tlm
+       \ifdim \wd\@tempboxa >\labelwidth
+                \box\@tempboxa
+          \else \hbox to\labelwidth {\unhbox\@tempboxa}\fi
+       \hskip \ALC@tlm}\ignorespaces}
+%
+\newenvironment{algorithmic}[1][0]{
+\setcounter{ALC@depth}{\@listdepth}%
+\let\@listdepth\c@ALC@depth%
+\let\@item\ALC@item%
+  \newcommand{\ALC@lno}{%
+\ifthenelse{\equal{\arabic{ALC@rem}}{0}}
+{{\ALC@linenosize \arabic{ALC@line}\ALC@linenodelimiter}}{}%
+}
+\let\@listii\@listi
+\let\@listiii\@listi
+\let\@listiv\@listi
+\let\@listv\@listi
+\let\@listvi\@listi
+\let\@listvii\@listi
+  \newenvironment{ALC@g}{
+    \begin{list}{\ALC@lno}{ \itemsep\z@ \itemindent\z@
+    \listparindent\z@ \rightmargin\z@ 
+    \topsep\z@ \partopsep\z@ \parskip\z@\parsep\z@
+    \leftmargin \algorithmicindent%1em
+    \addtolength{\ALC@tlm}{\leftmargin}
+    }
+  }
+  {\end{list}}
+  \newcommand{\ALC@it}{\refstepcounter{ALC@rem}\refstepcounter{ALC@line}\ifthenelse{\equal{\arabic{ALC@rem}}{#1}}{\setcounter{ALC@rem}{0}}{}\item\ALC@setref}
+  \newcommand{\ALC@com}[1]{\ifthenelse{\equal{##1}{default}}%
+{}{\ \algorithmiccomment{##1}}}
+  \newcommand{\REQUIRE}{\item[\algorithmicrequire]}
+  \newcommand{\ENSURE}{\item[\algorithmicensure]}
+  \newcommand{\PRINT}{\ALC@it\algorithmicprint{}\ \ }
+  \newcommand{\RETURN}{\ALC@it\algorithmicreturn{}\ \ }
+  \newcommand{\TRUE}{\algorithmictrue{}}
+  \newcommand{\FALSE}{\algorithmicfalse{}}
+  \newcommand{\STATE}{\ALC@it}
+  \newcommand{\STMT}{\ALC@it}
+  \newcommand{\COMMENT}[1]{\algorithmiccomment{##1}}
+  \newenvironment{ALC@if}{\begin{ALC@g}}{\end{ALC@g}}
+  \newenvironment{ALC@for}{\begin{ALC@g}}{\end{ALC@g}}
+  \newenvironment{ALC@whl}{\begin{ALC@g}}{\end{ALC@g}}
+  \newenvironment{ALC@loop}{\begin{ALC@g}}{\end{ALC@g}}
+  \newenvironment{ALC@rpt}{\begin{ALC@g}}{\end{ALC@g}}
+  \renewcommand{\\}{\@centercr}
+  \newcommand{\IF}[2][default]{\ALC@it\algorithmicif\ ##2\ \algorithmicthen%
+\ALC@com{##1}\begin{ALC@if}}
+  \newcommand{\ELSE}[1][default]{\end{ALC@if}\ALC@it\algorithmicelse%
+\ALC@com{##1}\begin{ALC@if}}
+  \newcommand{\ELSIF}[2][default]%
+{\end{ALC@if}\ALC@it\algorithmicelsif\ ##2\ \algorithmicthen%
+\ALC@com{##1}\begin{ALC@if}}
+  \newcommand{\FOR}[2][default]{\ALC@it\algorithmicfor\ ##2\ \algorithmicdo%
+\ALC@com{##1}\begin{ALC@for}}
+  \newcommand{\FORALL}[2][default]{\ALC@it\algorithmicforall\ ##2\ %
+\algorithmicdo%
+\ALC@com{##1}\begin{ALC@for}}
+  \newcommand{\WHILE}[2][default]{\ALC@it\algorithmicwhile\ ##2\ %
+\algorithmicdo%
+\ALC@com{##1}\begin{ALC@whl}}
+  \newcommand{\LOOP}[1][default]{\ALC@it\algorithmicloop%
+\ALC@com{##1}\begin{ALC@loop}}
+  \newcommand{\REPEAT}[1][default]{\ALC@it\algorithmicrepeat%
+\ALC@com{##1}\begin{ALC@rpt}}
+  \newcommand{\UNTIL}[1]{\end{ALC@rpt}\ALC@it\algorithmicuntil\ ##1}
+  \ifthenelse{\boolean{ALC@noend}}{
+    \newcommand{\ENDIF}{\end{ALC@if}}
+    \newcommand{\ENDFOR}{\end{ALC@for}}
+    \newcommand{\ENDWHILE}{\end{ALC@whl}}
+    \newcommand{\ENDLOOP}{\end{ALC@loop}}
+  }{
+    \newcommand{\ENDIF}{\end{ALC@if}\ALC@it\algorithmicendif}
+    \newcommand{\ENDFOR}{\end{ALC@for}\ALC@it\algorithmicendfor}
+    \newcommand{\ENDWHILE}{\end{ALC@whl}\ALC@it\algorithmicendwhile}
+    \newcommand{\ENDLOOP}{\end{ALC@loop}\ALC@it\algorithmicendloop}
+  } 
+  \renewcommand{\@toodeep}{}
+  \begin{list}{\ALC@lno}{\setcounter{ALC@rem}{0}\setcounter{ALC@line}{0}%
+    \itemsep\z@ \itemindent\z@ \listparindent\z@%
+    \partopsep\z@ \parskip\z@ \parsep\z@%
+    \labelsep 0.5em \topsep 0.2em%
+\ifthenelse{\equal{#1}{0}}
+  {\labelwidth 0.5em }
+  {\labelwidth  1.2em }
+\leftmargin\labelwidth \addtolength{\leftmargin}{\labelsep}
+    \ALC@tlm\labelsep
+  }
+}
+{\end{list}}
diff --git a/article.tex b/article.tex
deleted file mode 100644
index e69de29..0000000
diff --git a/bibliocap1.bib b/bibliocap1.bib
new file mode 100644
index 0000000..caf979c
--- /dev/null
+++ b/bibliocap1.bib
@@ -0,0 +1,419 @@
+@ARTICLE{wns07,
+  author ={J. Wang, C. Niu, R. Shen },
+  title = {Randomized approach for target coverage scheduling in directional sensor network},
+  journal = {ICESS2007},
+  year = {2007},
+  pages = {379-390},
+  
+}
+
+@ARTICLE{dw60,
+  author = {G.B. Dantzig and P. Wolfe},
+  title = {Decomposition principle for linear programs},
+  journal = {Operations Research},
+  year = {1960},
+  pages = {101-111}
+}
+
+@ARTICLE{asc02,
+ author = "I. Akyildiz and  W. Su and Y.Sankarasubramniam and E. Cayirci",
+ title = "A survey on sensor networks",
+ YEAR = {2002},
+ JOURNAL = {IEEE Comm. Magazine},
+PAGES = {102-114},
+ }
+
+@ARTICLE{pc10,
+ author = "T.V. Padmavathy and M. Chitra",
+ title = "Extending the Network Lifetime of Wireless Sensor Networks Using Residual Energy Extraction—Hybrid Scheduling Algorithm",
+ YEAR = {2010},
+ JOURNAL = {Int. J. of Communications, Network and System Sciences},
+ VOLUME = {3},
+ NUMBER = {1},
+PAGES = {98-106},
+ }
+
+@INPROCEEDINGS{Slijepcevic01powerefficient,
+    author = {S. Slijepcevic and M. Potkonjak},
+    title = {Power Efficient Organization of Wireless Sensor Networks},
+    booktitle = {IEEE International conference on Communications},
+    year = {2001},
+    pages = {472--476}
+}
+
+@article{Cardei:2005:IWS:1160086.1160098,
+ author = {Cardei, Mihaela and Du, Ding-Zhu},
+ title = {Improving wireless sensor network lifetime through power aware organization},
+ journal = {Wirel. Netw.},
+ volume = {11},
+ issue = {3},
+ month = {May},
+ year = {2005},
+ issn = {1022-0038},
+ pages = {333--340},
+ numpages = {8},
+ acmid = {1160098},
+ publisher = {Kluwer Academic Publishers},
+ address = {Hingham, MA, USA},
+ keywords = {disjoint set covers, energy efficiency, node organization, wireless sensor networks},
+} 
+
+@INPROCEEDINGS{Cardei05energy-efficienttarget,
+    author = {Mihaela Cardei and My T. Thai and Yingshu Li and Weili Wu},
+    title = {Energy-efficient target coverage in wireless sensor networks},
+    booktitle = {in IEEE Infocom},
+    year = {2005},
+    pages = {1976--1984}
+}
+
+@INPROCEEDINGS{b04,
+ author = "P. Berman and G. Calinescu and C. Shah and A. Zelikovsky",
+ title = "Power efficient monitoring management in sensor networks",
+ YEAR = {2004},
+ booktitle = {Wireless Communications and Networking Conference, WCNC. 2004},
+ }
+
+@INPROCEEDINGS{Berman05efficientenergy,
+    author = {P. Berman and G. Calinescu and C. Shah and A. Zelikovsky},
+    title = {Efficient energy management in sensor networks},
+    booktitle = {Ad Hoc and Sensor Networks. Nova Science Publishers},
+    year = {2005},
+    publisher = {Nova Science Publisher}
+}
+
+@INPROCEEDINGS{1240799,
+author={Jun Lu and Suda, T.},
+booktitle={Computer Communications, 2003. CCW 2003. Proceedings. 2003 IEEE 18th Annual Workshop on},
+title={Coverage-aware self-scheduling in sensor networks},
+year={2003},
+pages={117-123},
+keywords={power consumption;probability;scheduling;wireless sensor networks;active state;coverage-aware self-scheduling;data correlation;energy consumption;hibernating state;network coverage;sensing denomination;wireless sensor networks;Animals;Base stations;Capacitive sensors;Chemical sensors;Event detection;Information retrieval;Intelligent networks;Monitoring;Temperature sensors;Wireless sensor networks},
+doi={10.1109/CCW.2003.1240799},}
+
+@inproceedings{Prasad:2007:DAL:1782174.1782218,
+ author = {Prasad, Sushil K. and Dhawan, Akshaye},
+ title = {Distributed algorithms for lifetime of wireless sensor networks based on dependencies among cover sets},
+ booktitle = {Proceedings of the 14th international conference on High performance computing},
+ series = {HiPC'07},
+ year = {2007},
+ isbn = {3-540-77219-7, 978-3-540-77219-4},
+ location = {Goa, India},
+ pages = {381--392},
+ numpages = {12},
+ url = {http://dl.acm.org/citation.cfm?id=1782174.1782218},
+ acmid = {1782218},
+ publisher = {Springer-Verlag},
+ address = {Berlin, Heidelberg},
+} 
+
+
+@article{Zorbas:2010:SCP:1715927.1715956,
+ author = {D. Zorbas and D. Glynos and P. Kotzanikolaou and C. Douligeris},
+ title = {Solving coverage problems in wireless sensor networks using cover sets},
+ journal = {Ad Hoc Netw.},
+ volume = {8},
+ issue = {4},
+ month = {June},
+ year = {2010},
+ issn = {1570-8705},
+ pages = {400--415},
+ numpages = {16},
+ acmid = {1715956},
+ publisher = {Elsevier Science Publishers B. V.},
+ address = {Amsterdam, The Netherlands, The Netherlands},
+ keywords = {Centralised algorithm, Cover sets, Target coverage, Wireless sensor networks},
+} 
+
+@book{Garey:1990:CIG:574848,
+ author = {M.R. Garey and D.S. Johnson},
+ title = {Computers and Intractability; A Guide to the Theory of NP-Completeness},
+ year = {1990},
+ isbn = {0716710455},
+ publisher = {W. H. Freeman \& Co.},
+ address = {New York, NY, USA},
+} 
+
+@ARTICLE{Caprara98algorithmsfor,
+    author = {A. Caprara and M. Fischetti and P. Toth},
+    title = {Algorithms for the Set Covering Problem},
+    journal = {Annals of Operations Research},
+    year = {1998},
+    volume = {98},
+    pages = {2000}
+}
+
+@article{DBLP:journals/eor/AlfieriBBC07,
+  author    = {Arianna Alfieri and
+               Andrea Bianco and
+               Paolo Brandimarte and
+               Carla-Fabiana Chiasserini},
+  title     = {Maximizing system lifetime in wireless sensor networks},
+  journal   = {European Journal of Operational Research},
+  volume    = {181},
+  number    = {1},
+  year      = {2007},
+  pages     = {390-402},
+}
+
+@article{Gu:2009:QTC:1673018.1673025,
+ author = {Gu, Yu and Ji, Yusheng and Li, Jie and Zhao, Baohua},
+ title = {QoS-aware target coverage in wireless sensor networks},
+ journal = {Wirel. Commun. Mob. Comput.},
+ volume = {9},
+ issue = {12},
+ month = {December},
+ year = {2009},
+ issn = {1530-8669},
+ pages = {1645--1659},
+ numpages = {15},
+ acmid = {1673025},
+ publisher = {John Wiley and Sons Ltd.},
+ address = {Chichester, UK},
+ keywords = {column generation, lifetime optimization, target coverage, wireless sensor networks},
+} 
+
+@article {springerlink:10.1007/BF01594937,
+   author = {Y. Ye},
+   affiliation = {Department of Management Sciences The University of Iowa 52242 Iowa City IA USA},
+   title = {An O($n^3L$)) potential reduction algorithm for linear programming},
+   journal = {Mathematical Programming},
+   publisher = {Springer Berlin / Heidelberg},
+   keyword = {Mathematics and Statistics},
+   pages = {239-258},
+   volume = {50},
+   issue = {1},
+   year = {1991}
+}
+
+@MANUAL{glpk,
+    author = {A. Mahkorin},
+    title = {GNU Linear Programming Kit, Reference Manual},
+    year ={2010}
+    }
+
+@INPROCEEDINGS{Garg98fasterand,
+    author = {N. Garg and J. K\"{o}nemann},
+    title = {Faster and simpler algorithms for multicommodity flow and other fractional packing problems},
+    booktitle = {In Proceedings of the 39th Annual Symposium on Foundations of Computer Science},
+    year = {1998},
+    pages = {300--309},
+    publisher = {}
+}
+
+@Article{Kuhn55,
+  author =       "{Harold W. Kuhn}",
+  title =        "{The Hungarian Method for the assignment problem}",
+  journal =      "{Naval Research Logistics Quarterly}",
+  year =         {1955},
+  OPTkey =       {},
+  volume =    {2},
+  number =    {},
+  pages =	"83--97",
+}
+
+@article{Cardei:2006:ECP:1646656.1646898,
+ author = {Cardei, Mihaela and Wu, Jie},
+ title = {Energy-efficient coverage problems in wireless ad-hoc sensor networks},
+ journal = {Comput. Commun.},
+ issue_date = {February, 2006},
+ volume = {29},
+ number = {4},
+ month = feb,
+ year = {2006},
+ issn = {0140-3664},
+ pages = {413--420},
+ numpages = {8},
+ url = {http://dx.doi.org/10.1016/j.comcom.2004.12.025},
+ doi = {10.1016/j.comcom.2004.12.025},
+ acmid = {1646898},
+ publisher = {Elsevier Science Publishers B. V.},
+ address = {Amsterdam, The Netherlands, The Netherlands},
+ keywords = {Connectivity, Coverage, Energy efficiency, Wireless sensor networks},
+} 
+
+@article{Manju2011,
+  author = {Chaudhary, Manju and Pujari, Arun K.},
+  journal = {International Journal of Ad hoc, Sensor and Uniquitous computing (IJASUC)},
+  doi = {10.5121/ijasuc.2011.2105},
+  title = {High-Energy-First (HEF) Heuristic for Energy-Efficient Target Coverage Problem},
+  volume = {2},
+  number =    {1},
+  year = 2011
+}
+
+@inproceedings{Abrams:2004:SKA:984622.984684,
+ author = {Abrams, Zo\"{e} and Goel, Ashish and Plotkin, Serge},
+ title = {Set k-cover algorithms for energy efficient monitoring in wireless sensor networks},
+ booktitle = {Proceedings of the 3rd international symposium on Information processing in sensor networks},
+ series = {IPSN '04},
+ year = {2004},
+ isbn = {1-58113-846-6},
+ location = {Berkeley, California, USA},
+ pages = {424--432},
+ numpages = {9},
+ url = {http://doi.acm.org/10.1145/984622.984684},
+ doi = {10.1145/984622.984684},
+ acmid = {984684},
+ publisher = {ACM},
+ address = {New York, NY, USA},
+ keywords = {analysis of algorithms, energy conservation, wireless sensor networks},
+} 
+
+
+@inproceedings{Zorbas2007,
+ author = {D. Zorbas and D. Glynos and P. Kotzanikolaou and C. Douligeris},
+ title = {B\{GOP\}: an adaptive coverage algorithm for wireless sensor networks},
+ booktitle = {Proceedings of the 13th European Wireless Conference},
+ series = {EW'07},
+ year = {2007},
+ location = {Paris, France},
+ 
+} 
+
+@article{cardei02,
+  author    = {Mihaela Cardei and
+               David MacCallum and
+               Maggie Xiaoyan Cheng and
+               Manki Min and
+               Xiaohua Jia and
+               Deying Li and
+               Ding-Zhu Du},
+  title     = {Wireless Sensor Networks with Energy Efficient Organization},
+  journal   = {Journal of Interconnection Networks},
+  volume    = {3},
+  number    = {3-4},
+  year      = {2002},
+  pages     = {213-229},
+  
+}
+
+@inproceedings{cardei05,
+  author    = {Mihaela Cardei and J. Wu, N. Lu, M.O. Pervaiz
+               },
+  title     = {Maximum Network Lifetime with Adjustable Range},
+  booktitle = {WiMob},
+  year      = {2005},
+  pages     = {},
+  
+}
+
+@inproceedings{cardei05bis,
+  author    = {Mihaela Cardei and
+               My T. Thai and
+               Yingshu Li and
+               Weili Wu},
+  title     = {Energy-efficient target coverage in wireless sensor networks},
+  booktitle = {INFOCOM},
+  year      = {2005},
+  pages     = {1976-1984},
+  
+}
+
+@INPROCEEDINGS{berman04,
+    author = {P. Berman and G. Calinescu},
+    title = {Power Efficient Monitoring Management in Sensor Networks},
+    booktitle = {Proceedings of IEEE Wireless Communication and Networking Conference (WCNC'04)},
+    year = {2004},
+    pages = {2329--2334}
+}
+
+@inproceedings{garg98,
+ author = {Garg, Naveen and Koenemann, Jochen},
+ title = {Faster and Simpler Algorithms for Multicommodity Flow and other Fractional Packing Problems.},
+ booktitle = {Proceedings of the 39th Annual Symposium on Foundations of Computer Science},
+ series = {FOCS '98},
+ year = {1998},
+ pages = {300--309},
+ 
+} 
+
+@inproceedings{Gallais06,
+ author = {Gallais, Antoine and Carle, Jean and Simplot-Ryl, David and Stojmenovic, Ivan},
+ title = {Localized Sensor Area Coverage with Low Communication Overhead},
+ booktitle = {Proceedings of the Fourth Annual IEEE International Conference on Pervasive Computing and Communications},
+ year = {2006},
+ pages = {328--337},
+ 
+} 
+
+@inproceedings{Tian02,
+ author = {Tian, Di and Georganas, Nicolas D.},
+ title = {A coverage-preserving node scheduling scheme for large wireless sensor networks},
+ booktitle = {Proceedings of the 1st ACM international workshop on Wireless sensor networks and applications},
+ series = {WSNA '02},
+ year = {2002},
+ pages = {32--41},
+ publisher = {ACM},
+} 
+
+@inproceedings{Ye03,
+ author = {Ye, Fan and Zhong, Gary and Cheng, Jesse and Lu, Songwu and Zhang, Lixia},
+ title = {PEAS: A Robust Energy Conserving Protocol for Long-lived Sensor Networks},
+ booktitle = {Proceedings of the 23rd International Conference on Distributed Computing Systems},
+ series = {ICDCS'03},
+ year = {2003},
+ pages = {28--37},
+
+} 
+
+@inproceedings{Huang:2003:CPW:941350.941367,
+ author = {Huang, Chi-Fu and Tseng, Yu-Chee},
+ title = {The coverage problem in a wireless sensor network},
+ booktitle = {Proceedings of the 2nd ACM international conference on Wireless sensor networks and applications},
+ series = {WSNA '03},
+ year = {2003},
+ isbn = {1-58113-764-8},
+ location = {San Diego, CA, USA},
+ pages = {115--121},
+ numpages = {7},
+ url = {http://doi.acm.org/10.1145/941350.941367},
+ doi = {10.1145/941350.941367},
+ acmid = {941367},
+ publisher = {ACM},
+ address = {New York, NY, USA},
+ keywords = {ad hoc network, computer geometry, coverage problem, sensor network, ubiquitous computing, wireless network},
+} 
+
+
+
+@article{Zhang05,
+  author    = {Honghai Zhang and Jennifer C. Hou},
+  title     = {Maintaining Sensing Coverage and Connectivity in Large Sensor
+               Networks},
+  journal   = {Ad Hoc {\&} Sensor Wireless Networks},
+  volume    = {1},
+  number    = {1-2},
+  year      = {2005},
+
+}
+
+@article{HeinzelmanCB02,
+  author    = {Wendi B. Heinzelman and
+               Anantha P. Chandrakasan and
+               Hari Balakrishnan},
+  title     = {An application-specific protocol architecture for wireless
+               microsensor networks},
+  journal   = {IEEE Transactions on Wireless Communications},
+  volume    = {1},
+  number    = {4},
+  year      = {2002},
+  pages     = {660-670}
+}
+@inproceedings{pedraza2006,
+	title = {Efficient coverage algorithms for wireless sensor networks},
+	urldate = {2013-06-24},
+	booktitle = {Systems and Information Engineering Design Symposium, 2006 {IEEE}},
+	author = {Pedraza, Fernán and Medaglia, Andrés L. and Garcia, A.},
+	year = {2006},
+	pages = {78 --83}
+}}
+%	file = {FMorningSession4.3.pdf:/home/kdeschin/.mozilla/firefox/ts9zf0qu.default/zotero/storage/MPJFE2UE/FMorningSession4.3.pdf:application/pdf}
+%}
+
+@PhDThesis{chin2007,
+title = {An Energy-Efficient Distributed Algorithm for k-Coverage Problem in Wireless Sensor Networks
+},
+author = {Chinh Trung Vu},
+school = {GeorgiaState University},
+year = {2007}}
+
diff --git a/paperkd.blg b/paperkd.blg
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diff --git a/paperkd.tex b/paperkd.tex
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--- /dev/null
+++ b/paperkd.tex
@@ -0,0 +1,407 @@
+\documentclass[a4paper,twoside]{article}
+
+\usepackage{float}
+\usepackage{epsfig}
+\usepackage{subfigure}
+\usepackage{calc}
+\usepackage{amssymb}
+\usepackage{amstext}
+\usepackage{amsmath}
+\usepackage{amsthm}
+\usepackage{multicol}
+\usepackage{pslatex}
+\usepackage{apalike}
+\usepackage{SciTePress}
+\usepackage{algorithmic,algorithm}
+\usepackage[small]{caption}
+
+\subfigtopskip=0pt
+\subfigcapskip=0pt
+\subfigbottomskip=0pt
+
+\begin{document}
+
+%title{Efficient heuristic building disjoint cover sets \\for target coverage problem in wireless sensor networks}
+\title{ in wireless sensor networks}
+\author{\authorname{Ali Khadum\sup{1},Karine Deschinkel\sup{1},Michel Salomon\sup{1}, Raphaël Couturier \sup{1}}
+\affiliation{\sup{1}FEMTO-ST Institute, UMR CNRS, University of Franche-Comte, Belfort, France}
+\email{\{ali.khadum, karine.deschinkel, michel.salomon, raphael.couturier\}@univ-fcomte.fr}
+}
+\author{\authorname{~~}
+\affiliation{~~~~~}
+\email{~~~~~~~}
+}
+
+\keywords{area coverage, wireless sensor networks, lifetime optimization.}
+%\vspace{3cm}
+\abstract{}
+
+\onecolumn \maketitle \normalsize 
+%\vspace{3cm}
+\section{\uppercase{Introduction}}
+\label{sec:introduction}
+%\vspace{1cm}
+\noindent Recent years have witnessed significant advances in wireless sensor
+networks which emerge as one of the most promising technologies for
+the 21st century~\cite{asc02}. In fact, they present huge potential in
+several domains ranging from health care applications to military
+applications. 
+A sensor network is composed of a large number of tiny sensing devices deployed in a region of interest. Each device has processing and wireless communication capabilities, which enable to sense its environment, to compute, to store information and to deliver report messages to a base station. 
+%These sensor nodes run on batteries with limited capacities. To achieve a long life of the network, it is important to conserve battery power. Therefore, lifetime optimisation is one of the most critical issues in wireless sensor networks.
+One of the main design challenges in Wireless Sensor Networks (WSN) is to prolong the system lifetime, while achieving acceptable quality of service for applications. Indeed, sensor nodes
+have limited resources in terms of memory, energy and computational powers. 
+
+%\medskip
+Since sensor nodes have limited battery life and without being able to replace 
+batteries, especially in remote and hostile environments,
+it is desirable that a WSN should be deployed with 
+high density and thus redundancy can be exploited to increase 
+the lifetime of the network. In such a high density network, if all sensor nodes 
+were to be activated at the same time, the lifetime would be reduced. Consequently, 
+future software may need to adapt appropriately to achieve acceptable quality of service for applications.  
+In this paper we concentrate on area coverage problem, with the objective of maximizing the network lifetime by using an adaptive scheduling. Area of interest is divided into subregions and an activity scheduling for sensor nodes is planned for each subregion.
+Our scheduling scheme works in period which includes a discovery phase to exchange information between sensors of the subregion, then a sensor is chosen in suitable manner to carry out a coverage strategy.  This coverage strategy involves the resolution of an integer program which provides the activation of the sensors for the $T$ next rounds, where $T$ is a parameter to adjust in efficient way.
+
+
+The remainder  of the paper is  organized as follows.
+Section~\ref{rw} reviews the related work in the field. 
+Section \ref{pd} is devoted to the scheduling strategy for energy-efficient coverage. 
+Section \ref{cp} gives the coverage model formulation which is used to schedule the activation of sensors.
+Section \ref{exp} shows the simulation results conducted on OMNET++, that fully demonstrate the usefulness of the proposed approach. Finally, we give concluding remarks in Section~\ref{sec:conclusion}.
+
+\section{\uppercase{Related work}}
+\label{rw}
+\noindent 
+This section is dedicated to the various approaches proposed in the literature for the coverage lifetime maximization problem where the objective is to optimally schedule sensors'activities in order to extend network lifetime  in a randomly deployed network. As this problem is subject to a wide range of interpretations, we suggest to recall main definitions and assumptions related to our work. 
+
+{\bf Coverage}
+%\begin{itemize}
+%\item Area Coverage: The main objective is to cover an area. The area coverage requires
+%that the sensing range of working Active nodes cover the whole targeting area, which means any
+%point in target area can be covered~\cite{Mihaela02,Raymond03}.
+
+%\item Target Coverage: The objective is to cover a set of targets. Target coverage means that the discrete target points can be covered in any time. The sensing range of working Active nodes only monitors a finite number of discrete points in targeting area~\cite{Mihaela02,Raymond03}. 
+
+%\item Barrier Coverage An objective to determine the maximal support/breach paths that traverse a sensor field. Barrier coverage is expressed as finding one or more routes with starting position and ending position when the targets pass through the area deployed with sensor nodes~\cite{Santosh04,Ai05}.
+%\end{itemize}
+
+The most discussed coverage problems in literature can be classified into two types \cite{} : area coverage and targets coverage. An area coverage problem is to find a minimum number of sensors to work such that each physical point in the area is monitored by at least a working sensor. Target coverage problem is to cover only a finite number of discrete points called targets. 
+ Our work will concentrate on the area coverage by design and implement a strategy which efficiently select the active nodes that must maintain both sensing coverage and network connectivity and in the same time improve the lifetime of the wireless sensor network. But requiring that all physical points are covered may be too strict, specially where the sensor network is not dense. 
+Our approach represents an area covered by a sensor as a set of principle points and tries to maximize the total number of principles points that are covered in each round, while minimizing overcoverage (points covered by multiple active sensors simultaneously).\\
+{\bf Lifetime}\\
+Various definitions exist for the lifetime of a sensor network. Main definitions proposed in the literature are related to the remaining energy of the nodes \cite{} or to the percentage of coverage \cite{}. The lifetime of the network is mainly defined as the amount of time that the network can satisfy its coverage objective (the amount of time that the network can cover a given percentage of its area or targets of interest) . In our simulation we assume that the network is alive until all sensor nodes are died and we measure the coverage ratio during the process.
+
+{\bf Activity scheduling}\\
+Activity scheduling is to schedule the activation and deactivation of nodes 'sensor units. The basic objective is to decide which sensors are in which states (active or sleeping mode) and for how long a time such that the application coverage requirement can be guaranteed and network lifetime can be prolonged. Various approaches, including centralized, distributed and localized algorithms, have been proposed for activity scheduling.  In the distributed algorithms, each node in the network autonomously makes decisions on whether to turn on or turn off itself only using local neighbor information. In centralized algorithms, a central controller (node or base station) informs every sensor of the time intervals to be activated.
+
+{\bf Distributed approaches}
+
+Some distributed algorithms have been developed in~\cite{Gallais06,Tian02,Ye03,Zhang05,HeinzelmanCB02}. Distributed algorithms typically operate in roundsf predetermined duration. At the beginning of each round, a sensor exchange information with its neighbors and makes a decision to either turn on or go to sleep for the round. This decision is basically based on simple greedy criteria like the largest uncovered area \cite{Berman05efficientenergy}, maximum uncovered targets \cite{1240799}. 
+In \cite{Tian02}, the sheduling scheme is divided into rounds, where each round has a self-scheduling phase followed by a sensing phase. Each sensor broadcasts  a message to its neighbors containing node ID and node location at the beginning of each round. Sensor determines its status by a rule named off-duty eligible rule which tells him to turn off if its sensing area is covered by its neighbors. A back-off scheme is introduced to let each sensor delay the decision process with a random period of time, in order to avoid that nodes make conflicting decisions simultaneously and that a part of the area is no longer covered.
+\cite{Prasad:2007:DAL:1782174.1782218} propose a model for capturing the dependencies between different cover sets and propose localized heuristic based on this dependency. The algorithm consists of two phases, an initial setup phase during which each sensor calculates and prioritize the covers and a sensing phase  during which each sensor first decides its on/off status and then remains on or off  for the rest of the duration. 
+Authors in \cite{chin2007} propose a novel distributed heuristic named distributed Energy-efficient Scheduling for k-coverage (DESK) so that the energy consumption among all the sensors is balanced, and network lifetime is maximized while the coverage requirements being maintained. This algorithm works in round, requires only 1-sensing-hop-neigbor information, and a sensor decides its status (active/sleep) based on its perimeter coverage computed through the k-Non-Unit-disk coverage algorithm  proposed in \cite{Huang:2003:CPW:941350.941367}.\\
+
+Some others approaches  do not consider synchronized and predetermined period of time where the sensors are active or not. Each sensor maintains its own timer and its time wake-up is randomized \cite{Ye03} or regulated \cite{cardei05} over time. 
+%A ecrire \cite{Abrams:2004:SKA:984622.984684}p33
+
+
+%The scheduling information is disseminated throughout the network and only sensors in the active state are responsible
+%for monitoring all targets, while all other nodes are in a low-energy sleep mode. The nodes decide cooperatively which of them will remain in sleep mode for a certain
+%period of time.
+
+ %one way of increasing lifeteime is by turning off redundant nodes to sleep mode to conserve energy while active nodes provide essential coverage, which improves fault tolerance. 
+
+%In this paper we focus on centralized algorithms because distributed algorithms are outside the scope of our work. Note that centralized coverage algorithms have the advantage of requiring very low processing power from the sensor nodes which have usually limited processing capabilities. Moreover, a recent study conducted in \cite{pc10} concludes that there is a threshold in terms of network size to switch from a localized to a centralized algorithm. Indeed the exchange of messages in large networks may consume  a considerable amount of energy in a localized approach compared to a centralized one. 
+{\bf Centralized approaches}\\
+Power efficient centralized schemes differ according to several criteria \cite{Cardei:2006:ECP:1646656.1646898}, such as the coverage objective (target coverage or area coverage), the node deployment method (random or deterministic) and the heterogeneity of sensor nodes (common sensing range, common battery lifetime). The major approach is to divide/organize the sensors into a suitable number of set covers where each set completely covers an interest region and to activate these set covers successively. 
+
+First algorithms proposed in the literature consider that the cover sets are disjoint: a sensor node appears in exactly one of the generated cover sets. For instance Slijepcevic and Potkonjak \cite{Slijepcevic01powerefficient} propose an algorithm which allocates sensor nodes in mutually independent sets to monitor an area divided into several fields. Their algorithm constructs a cover set by including in priority the sensor nodes which cover critical fields, that is to say fields that are covered by the smallest number of sensors. The time complexity of their heuristic is $O(n^2)$ where $n$ is the number of sensors.  ~\cite{cardei02} present
+a graph coloring technique to achieve energy savings 
+by organizing the sensor nodes into a maximum number of disjoint 
+dominating sets which are activated successively. The dominating 
+sets do not guarantee the coverage of the whole region of interest. 
+Abrams et al.\cite{Abrams:2004:SKA:984622.984684} design three approximation algorithms for a variation of the set k-cover problem, where the objective is
+to partition the sensors into covers such that the number of
+covers that include an area, summed over all areas, is maximized. Their work builds upon previous work in~\cite{Slijepcevic01powerefficient} and the generated cover sets do not provide complete coverage of the monitoring zone. 
+
+
+%examine the target coverage problem by disjoint cover sets but relax the requirement that every  cover set monitor all the targets and try to maximize the number of times the targets are covered by the partition. They propose various algorithms and establish approximation ratio.
+
+In~\cite{Cardei:2005:IWS:1160086.1160098}, the authors propose a heuristic to
+compute the disjoint set covers (DSC). In order to compute the maximum number of covers, they
+first transform DSC into a maximum-flow problem ,
+which is then formulated as a mixed integer programming problem
+(MIP). Based on the solution of the MIP, they design a heuristic
+to compute the final number of covers. The results show a slight performance
+improvement in terms of the number of produced DSC in comparison to~\cite{Slijepcevic01powerefficient} but it incurs
+higher execution time due to the complexity of the mixed integer programming resolution.
+ %Cardei and Du \cite{Cardei:2005:IWS:1160086.1160098} propose a method to efficiently compute the maximum number of disjoint set covers such that each set can monitor all targets. They first transform the problem into a maximum flow problem which is formulated as a mixed integer programming (MIP). Then their heuristic uses the output of the MIP to compute disjoint set covers. Results show that these heuristic provides a number of set covers slightly larger compared to \cite{Slijepcevic01powerefficient} but with a larger execution time due to the complexity of the mixed integer programming resolution.
+Zorbas et al. \cite{Zorbas2007} present B\{GOP\}, a centralized coverage algorithm introducing sensor candidate categorisation depending on their coverage status and the notion of critical target to call targets that are associated with a small number of sensors. The total running time of their heuristic is $0(m n^2)$ where $n$ is the number of sensors, and $m$ the number of targets. Compared to algorithm's results of Slijepcevic and Potkonjak \cite{Slijepcevic01powerefficient}, their heuristic produces more cover sets with a slight growth rate in execution time.
+%More recently Manju and Pujari\cite{Manju2011}
+
+In the case of non-disjoint algorithms \cite{Manju2011}, sensors may participate in more than one cover set. 
+In some cases this may prolong the lifetime of the network in comparison to the disjoint cover set algorithms but designing  algorithms for non-disjoint cover sets generally incurs a higher order of complexity. Moreover in case of a sensor's failure, non-disjoint scheduling policies are less resilient and less reliable because a sensor may be involved in more than one cover sets. For instance, Cardei et al.~\cite{cardei05bis} present a linear programming (LP) solution
+and a greedy approach to extend
+the sensor network lifetime by organizing the sensors into a
+maximal number of non-disjoint cover sets. Simulation results show that by allowing sensors to 
+participate in multiple sets, the network lifetime
+increases compared with related work~\cite{Cardei:2005:IWS:1160086.1160098}. In~\cite{berman04}, the authors have formulated the lifetime problem and suggested another (LP) technique to solve this problem. A centralized provably near
+optimal solution based on the Garg-K\"{o}nemann algorithm~\cite{garg98} is also proposed.
+
+{\bf Our contribution}
+%{decoupage de la region en sous region, selection de noeud leader, formulation %et resolution du probleme de couverture, planification périodique
+There are three main questions which should be answered  to build a scheduling strategy. We give a brief answer to these three questions to describe our approach before going into details in the subsequent sections.
+\begin{itemize}
+\item {\bf How must be planned the 
+phases for information exchange, decision and sensing over time?}
+Our algorithm partitions the time line into a number of periods. Each period contains 4 phases : information Exchange, Leader Election, Decision, and Sensing. Our work further divides sensing phase into a number of rounds of predetermined length.
+\item {\bf What are the rules to decide which node has to turn on or off?}
+Our algorithm tends to limit the overcoverage of points of interest to avoid turning on too much sensors covering the same areas at the same time, and tries to prevent undercoverage. The decision is a good compromise between these two conflicting objectives and is made for the next $T$ rounds of sensing. In our experimentations we will check which value of $T$ is the most appropriate.
+\item {\bf Which node should make such decision ?}
+As mentioned in \cite{pc10}, both centralized and distributed algorithms have their own advantages and disadvantages. Centralized coverage algorithms have the advantage of requiring very low processing power from the sensor nodes which have usually limited processing capabilities. Distributed algorithms are very adaptable to the dynamic and scalable nature of sensors network. Authors in \cite{pc10} concludes that there is a threshold in terms of network size to switch from a localized to a centralized algorithm. Indeed the exchange of messages in large networks may consume  a considerable amount of energy in a localized approach compared to a centralized one. Our work does not consider only one leader to compute and to broadcast the schedule decision to all the sensors. When the size of network increases, the network is divided in many subregions and the decision is made by a leader in each subregion.
+\end{itemize}
+
+%compromis entre centralize et distribue (voir article \cite{pc10})
+
+\section{\uppercase{Distributed coverage model}}
+\label{pd}
+We consider a randomly and uniformly deployed network consisting of static wireless sensors. The wireless sensors are deployed in high density to ensure initially a full coverage of the interested area. We assume that all nodes are homogeneous in terms of energy, communication, and processing capabilities.  The location information is available to the sensor node either through hardware such as embedded GPS or through location discovery algorithms.
+The area of interest can be divided using the divide-and-conquer strategy into smaller area called subregions and then our coverage algorithm will be implemented in each subregion simultaneously. Our algorithm works in period fashion as in figure \ref{fig:4}. 
+%Given the interested Area $A$, the wireless sensor nodes set $S=\lbrace  s_1,\ldots,s_N \rbrace $ that are deployed randomly and uniformly in this area such that they are ensure a full coverage for A. The Area A is divided into regions $A=\lbrace A^1,\ldots,A^k,\ldots, A^{N_R} \rbrace$. We suppose that each sensor node $s_i$ know its location and its region. We will have a subset $SSET^k =\lbrace s_1,...,s_j,...,s_{N^k} \rbrace $ , where $s_N = s_{N^1} + s_{N^2} +,\ldots,+ s_{N^k} +,\ldots,+s_{N^R}$. Each sensor node $s_i$ has the same initial energy $IE_i$ in the first time and the current residual energy $RE_i$ equal to $IE_i$  in the first time for each $s_i$ in A. \\ 
+
+\begin{figure}[ht!]
+\centering
+\includegraphics [width=70mm]{Modelgeneral.eps}
+\caption{Multi-Round Coverage Protocol}
+\label{fig:4}
+\end{figure} 
+
+Each period is divided into 4 phases : INFO Exchange, Leader Election, Decision, and Sensing. The sensing phase works also in rounds. For each round there is exactly one set cover responsible for sensing task. If a working node fails unexpectedly in the interval of time of the round, the sensing task of the network will be affected temporarily, since a new set cover will take charge of the sensing task in the next round. The energy consumption and some other constraints can easily be taken into account since the sensors can update and then exchange the information (including their residual energy) at the beginning of each period. However, the preprocessing phase (discovery, leader selection, decision) are energy consuming for some nodes even when they not join the network to monitor the area. We describe each phase in more detail.
+
+
+
+\subsection{\textbf Discovery Phase}
+
+Each sensor node $j$  sends its position, remaining energy $RE_j$, number of local neighbours $NBR_j$  to all wireless sensor nodes in its subregion by using INFO packet and listen to the packets sent from other nodes. After that, each node will have information about all the sensor nodes in the subregion. In our model, the remaining energy corresponds to the time that a sensor can live in the active mode.
+
+
+%\subsection{\textbf Working Phase:}
+
+%The working phase works in rounding fashion. Each round include 3 steps described as follow :
+
+\subsection{\textbf Leader Selection Phase}
+This step includes choosing the Wireless Sensor Node Leader (WSNL) which will be responsible of executing coverage algorithm  to choose the list of active sensor nodes that contribute in covering the subregion.
+% The sensors in the same region are capable to communicate with each others using a routing protocol provided by the simulator OMNET++ in order to provide multi-hop communication protocol.
+The WSNL will be chosen based on the number of local neighbours $NBR_j$  of sensor node $s_j$ and it's remaining energy $RE_j$.
+If we have more than one node has the same $NBR_j$ and $RE_j$, this leads to choose WSNL based on the largest index among them. Each subregion in the area of interest will select its WSNL independently for each period. 
+
+
+\subsection{\textbf Decision Phase}
+The WSNL will execute the algorithm  PEC to select which sensors will be activated in the next rounds to cover the subregion. WSNL will send Active-Sleep packet to each sensor in the subregion based on algorithm's results. 
+%The main goal in this step after choosing the WSNL is to produce the best representative active nodes set that will take the responsibility of covering the whole region $A^k$ with minimum number of sensor nodes to prolong the lifetime in the wireless sensor network. For our problem, in each round we need to select the minimum set of sensor nodes to improve the lifetime of the network and in the same time taking into account covering the region $A^k$ . We need an optimal solution with tradeoff between our two conflicting objectives.
+%The above region coverage problem can be formulated as a Multi-objective optimization problem and we can use the Binary Particle Swarm Optimization technique to solve it. 
+\\
+
+\subsection{\textbf Sensing Phase}
+This phase can be divided in many rounds. Let be $T$ the number of rounds. $T$ is an adjustable parameter. Active sensors in each round will execute their sensing task.
+%The algorithm will produce the best representative set of the active nodes that will take the mission of covering the sub region $A^k$  in Sensing step .    
+Since that we use a homogeneous wireless sensor network, we will assume that the cost of keeping a node awake for sensing task is the same for all wireless sensor nodes in the network.  
+
+
+
+%\subsection{Sensing coverage model}
+%\label{pd}
+
+%\noindent We try to produce an adaptive scheduling which allows sensors to operate alternatively so as to prolong the network lifetime. For convenience, the notations and assumptions are described first.
+%The wireless sensor node use the  binary disk sensing model by which each sensor node will has a certain sensing range is reserved within a circular disk called radius $R_s$.
+\noindent We consider a boolean disk coverage model which is the most widely used sensor coverage model in the literature. Each sensor has a constant sensing range $R_s$. All space points within a disk centered at the sensor with the radius of the sensing range is said to be covered by this sensor. We also assume that the communication range is at least twice of the sening range. In fact, Zhang and Zhou ~\cite{Zhang05} prove that if the tranmission range is at least twice of the sensing range, a complete coverage of a convex area implies connectivity amnong the working nodes in the active mode.
+%To calculate the coverage ratio for the area of interest, we can propose the following coverage model which is called Wireless Sensor Node Area Coverage Model to ensure that all the area within each node sensing range are covered. We can calculate the positions of the points in the circle disc of the sensing range of wireless sensor node based on the Unit Circle in figure~\ref{fig:cluster1}:
+
+%\begin{figure}[h!]
+%\centering
+%\begin{tabular}{cc}
+%%\includegraphics[scale=0.25]{fig1.pdf}\\ %& \includegraphics[scale=0.10]{1.pdf} \\
+%%(A) Figure 1 & (B) Figure 2
+%\end{tabular}
+%\caption{Unit Circle in radians. }
+%\label{fig:cluster1}
+%\end{figure}
+
+%By using the Unit Circle in figure~\ref{fig:cluster1}, 
+%We choose to representEach wireless sensor node will be represented into a selected number of principle points by which we can know if the sensor node is covered or not.
+% Figure ~\ref{fig:cluster2} shows the selected principle points that represents the area of the sensor node and according to the sensing range of the wireless sensor node.
+
+\noindent Instead of working with area coverage, we consider for each sensor a set of points called principal points. And we assume the sensing disk defined by a sensor is covered  if all principal points of this sensor are covered.
+
+%\begin{figure}[h!]
+%\centering
+%\begin{tabular}{cc}
+%%\includegraphics[scale=0.25]{fig2.pdf}\\ %& \includegraphics[scale=0.10]{1.pdf} \\
+%%(A) Figure 1 & (B) Figure 2
+%\end{tabular}
+%\caption{Wireless Sensor Node Area Coverage Model.}
+%\label{fig:cluster2}
+%\end{figure}
+
+
+
+\noindent By knowing the position (point center :($p_x,p_y$) of the Wireless sensor node and its $R_s$ , we calculate the principle points directly based on proposed model. We use these principle points (that can be increased or decreased as if it is necessary) as references to ensure that the monitoring area of the region is covered by the selected set of sensors instead of using the all points in the area.
+
+ \begin{figure}[h!]
+%\centering
+% \begin{multicols}{6}
+\centering
+%\includegraphics[scale=0.10]{fig21.pdf}\\~ ~ ~(a)
+%\includegraphics[scale=0.10]{fig22.pdf}\\~ ~ ~(b)
+\includegraphics[scale=0.2]{principles13.eps}
+%\includegraphics[scale=0.10]{fig25.pdf}\\~ ~ ~(d)
+%\includegraphics[scale=0.10]{fig26.pdf}\\~ ~ ~(e)
+%\includegraphics[scale=0.10]{fig27.pdf}\\~ ~ ~(f)
+%\end{multicols} 
+\caption{Wireless Sensor node represented by 13 principle points }
+\label{fig3}
+\end{figure}
+
+\noindent We can calculate the positions of the selected principle points in the circle disk of the sensing range of wireless sensor node in figure ~\ref{fig3} as follow:\\
+$p_x,p_y$ = point center of wireless sensor node. \\  
+$X_1=(p_x,p_y)$ \\ 
+$X_2=( p_x + R_s * (1), p_y + R_s * (0) )$\\           
+$X_3=( p_x + R_s * (-1), p_y + R_s * (0)) $\\
+$X_4=( p_x + R_s * (0), p_y + R_s * (1) )$\\
+$X_5=( p_x + R_s * (0), p_y + R_s * (-1 )) $\\
+$X_6= ( p_x + R_s * (\frac{-\sqrt{2}}{2}), p_y + R_s * (0)) $\\
+$X_7=( p_x + R_s *  (\frac{\sqrt{2}}{2}), p_y + R_s * (0))$\\
+$X_8=( p_x + R_s * (\frac{-\sqrt{2}}{2}), p_y + R_s * (\frac{-\sqrt{2}}{2})) $\\
+$X_9=( p_x + R_s * (\frac{\sqrt{2}}{2}), p_y + R_s * (\frac{-\sqrt{2}}{2})) $\\
+$X_{10}=( p_x + R_s * (\frac{-\sqrt{2}}{2}), p_y + R_s * (\frac{\sqrt{2}}{2})) $\\
+$X_{11}=( p_x + R_s * (\frac{\sqrt{2}}{2}), p_y + R_s * (\frac{\sqrt{2}}{2})) $\\
+$X_{12}=( p_x + R_s * (0), p_y + R_s * (\frac{\sqrt{2}}{2})) $\\
+$X_{13}=( p_x + R_s * (0), p_y + R_s * (\frac{-\sqrt{2}}{2})) $\\
+
+
+
+
+\section{\uppercase{Coverage problem formulation}}
+\label{cp}
+%We can formulate our optimization problem as energy cost minimization by minimize the number of active sensor nodes and maximizing the coverage rate at the same time in each $A^k$ . This optimization problem can be formulated as follow: Since that we use a homogeneous wireless sensor network, we will assume that the cost of keeping a node awake is the same for all wireless sensor nodes in the network. We can define the decision parameter  $X_j$ as in \eqref{eq11}:\\
+
+
+%To satisfy the coverage requirement, the set of the principal points that will represent all the sensor nodes in the monitored region as $PSET= \lbrace P_1,\ldots ,P_p, \ldots , P_{N_P^k} \rbrace $, where $N_P^k = N_{sp} * N^k $ and according to the proposed model in figure ~\ref{fig:cluster2}. These points can be used by the wireless sensor node leader which will be chosen in each region in A to build a new parameter $\alpha_{jp}$  that represents the coverage possibility for each principal point $P_p$ of each wireless sensor node $s_j$ in $A^k$ as in \eqref{eq12}:\\
+
+
+\noindent Our model is based on the model proposed by \cite{pedraza2006} where the objective is to find a maximum number of disjoint cover sets. To accomplish this goal, authors propose a integer program  which forces undercoverage and overcoverage of targets to become minimal at the same time. They use variables $x_{s,l}$ to indicate if the sensor $s$ belongs to cover set $l$. In our model, we consider binary variables $X_{j,t}$ which determine the activation of sensor $j$ in round $t$. We replace the constraint guarantying that each sensor is a member of only one cover of the entire set of disjoint covers by a constraint specifying that the sum of energy consumed by the activation of sensor during several rounds is less than or equal to the remaining energy of the sensor. We also consider principle points as targets.  \\
+\noindent For a principle point $p$, let $\alpha_{jp}$ denote the indicator function of whether the point $p$ is covered, that is, \\
+\begin{equation}
+\alpha_{jp} = \left \{ 
+\begin{array}{l l}
+  1 & \mbox{if the principal point $p$ is covered} \\
+ & \mbox{by active sensor node $j$} \\
+  0 & \mbox{Otherwise}\\
+\end{array} \right.
+%\label{eq12} 
+\end{equation}
+The number of sensors that are covering point $p$ during a round $t$ is equal to $\sum_{j \in J} \alpha_{jp} * X_{j,t}$ where :
+\begin{equation}
+X_{j,t} = \left \{ 
+\begin{array}{l l}
+  1& \mbox{if sensor $s_j$  is active during round } t\\
+  0 &  \mbox{Otherwise}\\
+\end{array} \right.
+%\label{eq11} 
+\end{equation}
+We define the Overcoverage variable $\Theta_{p,t}$ .\\
+
+\begin{equation}
+ \Theta_{p,t} = \left \{ 
+\begin{array}{l l}
+  0            & \mbox{if point p is not }\\
+&\mbox{covered during round } t\\
+  \left( \sum_{j \in J} \alpha_{jp} * X_{j,t} \right)- 1 & \mbox{Otherwise}\\
+\end{array} \right.
+\label{eq13} 
+\end{equation}
+
+
+\noindent$\Theta_{p}$ represents the number of active sensor nodes minus one that cover the principle point $p$.\\
+The Undercoverage variable $U_{p,t}$ of the principle point $p$ is defined as follow :\\
+
+\begin{equation}
+U_{p,t} = \left \{ 
+\begin{array}{l l}
+  1 &\mbox{if point } $p$ \mbox{ is not covered during round } $t$\\
+  0 & \mbox{Otherwise}\\
+\end{array} \right.
+\label{eq14} 
+\end{equation}
+
+\noindent Our coverage optimization problem can be formulated as follow.\\
+\begin{equation} \label{eq:ip2r}
+\left \{
+\begin{array}{ll}
+\min \sum_{p \in P} (w_{\theta,t} \Theta_{p,t} + w_{u,t} U_{p,t})&\\
+\textrm{subject to :}&\\
+\sum_{j \in J}  \alpha_{jp} X_{j,t} - \Theta_{p,t}+ U_{p,t} =1, &\forall p \in P, \forall t \in T\\
+%\label{c1} 
+\sum_{t \in T} X_{j,t} \leq \frac{RE_j}{e_t} &\forall j \in J \\
+%\label{c2}
+\Theta_{p,t}\in \mathbb{N} , &\forall p \in P, \forall t \in T\\
+U_{p,t} \in \{0,1\}, &\forall p \in P, \forall t \in T \\
+X_{j,t} \in \{0,1\}, &\forall j \in J, \forall t \in T
+\end{array}
+\right.
+\end{equation}
+\begin{itemize}
+\item $X_{j,t}$ : indicating whether or not sensor $j$ is active in round $t$(1 if yes and 0 if not)
+\item $\Theta_{p,t}$ : {\it overcoverage}, the number of sensors minus one that are covering point $p$ in round $t$
+\item $U_{p,t}$ : {\it undercoverage}, indicating whether or not point $p$ is being covered (1 if not covered and 0 if covered) in round $t$
+\end{itemize}
+The first group of constraints indicates that some point $p$ should be covered by at least one sensor in every round $t$ and, if it is not always the case, overcoverage and undercoverage variables help balance the restriction equation by taking positive values. Second group of contraints ensures for each sensor that the amount of energy consumed during its activation periods will be less than or equal to its remaining energy.
+There are two main objectives. We limit overcoverage of principle points in order to activate a minimum number of sensors and we prevent that parts of the subregion are not monitored by minimizing undercoverage. The weights $w_{\theta,t}$ and $w_{u,t}$ must be properly chosen so as to guarantee that the maximum number of points are covered during each round. 
+ 
+%In equation \eqref{eq15}, there are two main objectives: the first one using  the Overcoverage parameter to minimize the number of active sensor nodes in the produced final solution vector $X$ which leads to improve the life time of wireless sensor network. The second goal by using the  Undercoverage parameter  to maximize the coverage in the region by means of covering each principle point in $SSET^k$.The two objectives are achieved at the same time. The constraint which represented in equation \eqref{eq16} refer to the coverage function for each principle point $P_p$ in $SSET^k$ , where each $P_p$ should be covered by
+%at least one sensor node in $A^k$. The objective function in \eqref{eq15} involving two main objectives to be optimized simultaneously, where optimal decisions need to be taken in the presence of trade-offs between the two conflicting main objectives in \eqref{eq15} and this refer to that our coverage optimization problem is a multi-objective optimization problem and we can use the BPSO to solve it. The concept of Overcoverage and Undercoverage inspired from ~\cite{Fernan12} but we use it with our model as stated in subsection \ref{Sensing Coverage Model} with some modification to be applied later by BPSO.
+%\subsection{Notations and assumptions}
+
+%\begin{itemize}
+%\item $m$ : the number of targets
+%\item $n$ : the number of sensors
+%\item $K$ : maximal number of cover sets
+%\item $i$ : index of target ($i=1..m$)
+%\item $j$ : index of sensor ($j=1..n$)
+%\item $k$ : index of cover set ($k=1..K$)
+%\item $T_0$ : initial set of targets
+%\item $S_0$ : initial set of sensors
+%\item $T $ : set of targets which are not covered by at least one cover set
+%\item $S$ : set of available sensors
+%\item $S_0(i)$ : set of sensors which cover the target $i$
+%\item $T_0(j)$ : set of targets covered by sensor $j$
+%\item $C_k$ : cover set of index $k$
+%\item $T(C_k)$ : set of targets covered by the cover set $k$
+%\item $NS(i)$ : set of  available sensors which cover the target $i$
+%\item $NC(i)$ : set of cover sets which do not cover the target $i$
+%\item $|.|$ : cardinality of the set
+
+%\end{itemize}
+\section{\uppercase{Simulation Results}}
+\label{exp}
+In this section, we evaluate the efficiency of PEC through conducting some simulations measuring the network lifetime with different number of sensors and different number of rounds for the sensing phase.
+Coverage ratio measures how much area of a sensor field is covered. In our case, the coverage ratio is regarded as the number of principle points covered among the set of all prinicple points. 
+\label{Simulation Results}
+\section{\uppercase{Conclusions}}
+\label{sec:conclusion}
+In this paper, we have addressed the problem of lifetime optimization in wireless sensor networks. This is a very 
+natural and important problem, as sensor nodes
+have limited resources in terms of memory, energy and computational power.
+%energy-efficiency is crucial in power-limited wireless sensor network. 
+To cope with this problem, 
+%an efficient centralized energy-aware algorithm is presented and analyzed. Our algorithm seeks to 
+%Energy-efficiency is crucial in power-limited wireless sensor network, since sensors have significant power constraints (battery life). In this paper we have investigated the problem of 
+
+
+
+\bibliographystyle{apalike}
+{\small
+\bibliography{bibliocap1}}
+\vfill
+\end{document}
+
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-- 
2.39.5