%%
%% This is file `tablvar.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% tablvar.dtx  (with options: `package')
%% 
%% This is a generated file.
%% 
%% Copyright (C) 2018-2024 by Antoine Missier <antoine.missier@ac-toulouse.fr>
%% 
%% This file may be distributed and/or modified under the conditions of
%% the LaTeX Project Public License, either version 1.3 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 1.3 or later is part of all distributions of LaTeX version
%% 2005/12/01 or later.
%% 
\NeedsTeXFormat{LaTeX2e}[2005/12/01]
\ProvidesPackage{tablvar}
    [2024/08/09 v2.1 Tables of signs and variations]
\RequirePackage{array}
\RequirePackage{ifthen}
\RequirePackage{multido}
\RequirePackage{xkeyval}
\RequirePackage{iftex}

\newif\iftv@tikz % false par défaut
\DeclareOption{tikz}{\tv@tikztrue}
\newif\iftv@pstricks
\DeclareOption{pstricks}{\tv@pstrickstrue}
\ProcessOptions \relax

\iftv@pstricks
    \ifpdf
        \ifluatex
            \PackageInfo{tablvar}{Option 'pstricks' works
                with luapstricks}
        \else
            \PackageError{tablvar}{Don't use the 'pstricks' option with
                PDF output mode}{Use 'tikz' option or change the engine}
        \fi
    \else
        \PackageInfo{tablvar}{Option 'pstricks' is used}
    \fi
\else\iftv@tikz
    \AtEndDocument{\PackageWarningNoLine{tablvar}{Option 'tikz' is used.
        \MessageBreak
        Maybe rerun to draw the arrows correctly}
    }
\else\ifpdf
    \AtEndDocument{\PackageWarningNoLine{tablvar}{Output is in PDF mode,
        I'm using the 'tikz' option.
        \MessageBreak
        Maybe rerun to draw the arrows correctly}
    }
    \tv@tikztrue
\else
    \PackageWarningNoLine{tablvar}{Output is in DVI mode,
        I'm using the 'pstricks' option}
    \tv@pstrickstrue
\fi\fi\fi

\iftv@tikz
    \RequirePackage{tikz}
    \usetikzlibrary{patterns}
    \usetikzlibrary{patterns.meta}% pour le paramétrage des hachures
\else % pstricks=true
    \RequirePackage{pst-node}
\fi

\newlength{\intervalwidth}
\setlength{\intervalwidth}{3em} % largeur des "intervalles"

\newlength{\colvalwidth}
\setlength{\colvalwidth}{2em} % largeur des colonnes de valeurs

\newlength{\firstcolsep}
\setlength{\firstcolsep}{5pt} % valeur LaTeX par défaut

\newlength{\bordercolsep}
\setlength{\bordercolsep}{2pt}

\newlength{\limsep}
\setlength{\limsep}{1pt}

\newcommand{\tablvarstretch}{1.6}

\newcommand{\ZItype}{h}

\definecolor{ZIcolor}{named}{gray}

\newlength{\ZIaddwidth}
\setlength{\ZIaddwidth}{0pt}

\define@key{tablvar}{intervalwidth}{\setlength{\intervalwidth}{#1}}
\define@key{tablvar}{colvalwidth}{\setlength{\colvalwidth}{#1}}
\define@key{tablvar}{firstcolsep}{\setlength{\firstcolsep}{#1}}
\define@key{tablvar}{bordercolsep}{\setlength{\bordercolsep}{#1}}
\define@key{tablvar}{limsep}{\setlength{\limsep}{#1}}
\define@key{tablvar}{stretch}{\renewcommand{\tablvarstretch}{#1}}
\define@boolkey{tablvar}[]{extleft}[true]{} % false si non appelé
\define@boolkey{tablvar}[]{extright}[true]{}
\define@choicekey{tablvar}{ZItype}{h,c}{\renewcommand{\ZItype}{#1}}
\define@key{tablvar}{ZIcolor}{\definecolor{ZIcolor}{named}{#1}}
\define@key{tablvar}{ZIaddwidth}{\setlength{\ZIaddwidth}{#1}}

\newcommand\tablvarset[1]{\setkeys{tablvar}{#1}}

\newlength{\tvrulewidth}
\setlength{\tvrulewidth}{0.4pt}

\newlength{\tvbarrewidth}
\setlength{\tvbarrewidth}{0.5pt}
\definecolor{tvbarrecolor}{gray}{0.7}

\newlength{\bbrulewidth}
\setlength{\bbrulewidth}{0.4pt}

\newlength{\innercolsep}
\setlength{\innercolsep}{0pt}

\newcounter{maxdiscont}
\setcounter{maxdiscont}{4} % nb max de discontinuités

\newlength{\rowtopsep}
\setlength{\rowtopsep}{2pt}

\newlength{\rowbottomsep}
\setlength{\rowbottomsep}{2pt}

\newcommand*{\fleche}[2]{
    \iftv@tikz
        \tikz[remember picture,overlay]{\draw[->,>=stealth,
            line width=0.6pt] (#1) -- (#2);}
    \else
        \ncline[arrowsize=2pt 2,arrowinset=0.4,nodesep=3pt,
            linewidth=0.6pt]{->}{#1}{#2}
    \fi
}

\newcommand*{\vrconnect}[2]{
    \iftv@tikz
        \tikz[remember picture,overlay]{\draw[dotted,line width=1pt]
            (#1) -- (#2);}
    \else
        \ncline[nodesep=5pt,linestyle=dotted,linewidth=1pt]{-}{#1}{#2}
    \fi
}

\newcommand*{\noeud}[3][c]{
    \iftv@tikz
        % fonctionne mal avec autre chose que 'anchor=base'
        \tikz[remember picture,baseline]{% surtout pas de overlay ici
            \node[anchor=base,inner sep=0pt,outer sep=4pt] at (0,0) (#2)
                {$#3$};}
    \else
        \rnode[#1]{#2}{#3}
    \fi
}

\newcommand*{\hachure}[2]{
    \iftv@tikz
        \tikz[remember picture,overlay]{%
            \fill[pattern={Lines[distance=3pt,angle=135,line width=0.2pt]}]
            (#1) rectangle (#2);}
    \else
        \psframe[linestyle=none,fillstyle=vlines,hatchwidth=0.2pt,
            hatchsep=3pt](#1)(#2)
    \fi
}

\newcommand*{\ZIcouleur}[2]{
    \iftv@tikz
        \tikz[remember picture,overlay]{\fill[color=ZIcolor,opacity=0.3]
            (#1) rectangle (#2);}
    \else
        \psframe[linestyle=none,fillstyle=solid,opacity=0.3,
            fillcolor=ZIcolor](#1)(#2)
    \fi
}

\newcounter{var@ligne} % numéro de ligne des variations
\newcounter{var@noeud} % numéro du nœud des variations
\newcounter{numvr} % numéro de la valeur remarquable
\newcounter{nb@intervals} % nombre de colonnes "intervalles"
\newcounter{numdiscont} % numéro de la discontinuité
\AtBeginDocument{% car maxdiscont a pu être modifié dans le préambule
    \stepcounter{maxdiscont}
    % il faut un compteur de plus que le nb de discontinuités
    \multido{\I=1+1}{\themaxdiscont}{\newcounter{discont\I}}
}

\newlength\mil@shift
\newcounter{mil@row}

\newcounter{maxZI} % nb max de ZI
\setcounter{maxZI}{4}
\newlength{\ZIheight}
\newlength{\ZIheighti}
\newlength{\ZIheightii}
\newlength{\ZIheightiii}
\newlength{\ZIheightiv}
\newlength{\ZIdepth}
\newlength{\ZIwidth}
\newcounter{nbZI} % nombre de ZI utilisées
\newcounter{numZI} % numéro de ZI courant
\newcounter{nbvarlignes} % nombre de lignes des variations
\multido{\I=1+1}{\themaxZI}{\newcounter{ZI\I}}
\newcounter{tv@icol} % numéro de colonne "intervalle"
\newcounter{tv@row} % numéro de ligne du tableau
\newsavebox{\tv@cellbox}
\newlength{\tv@cellheight}
\newlength{\tv@celldepth}

\newcommand*{\tablvarinit}[1]{
    \setlength{\extrarowheight}{0pt} % paramètre de l'extension array
    \renewcommand{\arraystretch}{\tablvarstretch}
    \setlength{\arrayrulewidth}{\tvrulewidth}
    \setcounter{var@ligne}{0}
    \setcounter{numvr}{0}
    \setcounter{tv@row}{0}
    \setcounter{nb@intervals}{#1}
    \addtocounter{nb@intervals}{-1}
}

\newcommand{\ZIinit}{
    \global\ZIheighti=0pt
    \global\ZIheightii=0pt
    \global\ZIheightiii=0pt
    \global\ZIheightiv=0pt
    \setcounter{nbZI}{0}
    \multido{\I=1+1}{\themaxZI}{\setcounter{ZI\I}{0}}
    \setcounter{nbvarlignes}{3}
}

\newcommand\tv@setheight{%
    \global\tv@cellheight=\ht\tv@cellbox
    \ifthenelse{\value{var@ligne}=0}{
        \global\advance\tv@cellheight by \rowtopsep}{}
    \ifdim \tv@cellheight < \ht\@arstrutbox
        \global\tv@cellheight = \ht\@arstrutbox
    \fi
    \global\tv@celldepth=\dp\tv@cellbox
    \ifthenelse{\value{var@ligne}=0}{
        \global\advance \tv@celldepth by \rowbottomsep}{}
    \ifdim \tv@celldepth < \dp\@arstrutbox
        \global\tv@celldepth = \dp\@arstrutbox
    \fi
    \vrule height \tv@cellheight depth \tv@celldepth width 0pt
}

\newcommand{\tvcoltypes}{
    % type de colonne A pour les légendes à gauche du tableau
    \newcolumntype{A}{%
        >{\setcounter{tv@icol}{0}\stepcounter{tv@row}\begin{lrbox}%
            \tv@cellbox $}%
        c%
        <{$\end{lrbox}\usebox{\tv@cellbox}\tv@setheight}}
    % type de colonne i pour les intervalles
    \newcolumntype{i}{>{\stepcounter{tv@icol}
        \centering\arraybackslash$}p{\intervalwidth}<{$}}
    % type de colonne v pour les valeurs
    \newcolumntype{v}[1]{% un argument optionnel ne fonctionne pas ici
        >{\ifthenelse{\value{tv@row}=1}{\begin{lrbox}\tv@cellbox $}{}}%
        ##1%
        <{\ifthenelse{\value{tv@row}=1}{$\end{lrbox}%
            \makebox[\colvalwidth][##1]{\usebox\tv@cellbox}}{}}}
}

\newenvironment{tablvar}[2][]{%
    \setkeys*{tablvar}{#1} % fourni par xkeyval
    \if\XKV@rm\empty \else \setlength{\intervalwidth}{#1} \fi
    \tvcoltypes
    \ifextleft\newcolumntype{B}{v{l}}\else\newcolumntype{B}{v{c}}\fi
    \ifextright\newcolumntype{E}{v{r}}\else\newcolumntype{E}{v{c}}\fi
    \tablvarinit{#2}
    \ZIinit
    \begin{array}{%
        |@{\hspace{\firstcolsep}}%
        A@{\hspace{\firstcolsep}}%
        |@{\hspace{\bordercolsep}}%
        B@{\hspace{\innercolsep}}%
        i@{\hspace{\innercolsep}}%
        *{\value{nb@intervals}}{
            v{c}@{\hspace{\innercolsep}}%
            i@{\hspace{\innercolsep}}%
        }%
        E@{\hspace{\bordercolsep}}|%
    }
}{\end{array}}
\newenvironment{tablvar*}[2][]{%
    \setkeys*{tablvar}{#1} % fourni par xkeyval
    \if\XKV@rm\empty \else \setlength{\intervalwidth}{#1} \fi
    \begin{tablvar}[extleft,extright]{#2}
}{\end{tablvar}}
\newcounter{loop@counter}
\newcommand{\varloop}[2]{%
    \setcounter{loop@counter}{#1}
    \addtocounter{loop@counter}{-1}% on boucle 1 fois de moins que #1
    \ifthenelse{\value{loop@counter}=0}{}{%
        #2 \varloop{\value{loop@counter}}{#2}%
    }
}

\newcommand*{\variations}[2][3]{% #1=nblignes (3 par défaut)
    % (ré)initialisation des compteurs
    \setcounter{nbvarlignes}{#1}
    \setcounter{numdiscont}{0}
    \multido{\I=1+1}{\themaxdiscont}{\setcounter{discont\I}{0}}
    % boucle : on exécute le code #2 un nb de fois égal à (#1)-1
    \varloop{#1}{%
        \setcounter{var@noeud}{0}\setcounter{numvr}{0}
        % à chaque tour de boucle on réinitialise les compteurs de nœuds
        \stepcounter{var@ligne} % le numéro de ligne est incrémenté
        #2 % les nœuds sont fabriqués par le code #2 (avec \pos et \vr)
        \\ % retour ligne
        }
    % dernière itération -> flèches tracées AVANT \\ sinon bug !?
    \setcounter{var@noeud}{0}\setcounter{numvr}{0}
    \stepcounter{var@ligne} #2
    % tracé des flèches
    \addtocounter{var@noeud}{-1} % 1 flèche de moins que le nb de nœuds
    \setcounter{numdiscont}{1}
    \multido{\Ix=1+1,\Iy=2+1}{\thevar@noeud}{
        \ifthenelse{\value{discont\thenumdiscont}=\Ix}{
            % on saute les discontinuités
            \stepcounter{numdiscont}}{
            % sinon on trace la flèche N1->N2 puis N2->N3, etc.
            \fleche{N\Ix}{N\Iy}
        }
    }
    % tracé des pointillés pour les valeurs remarquables
    \multido{\Ix=1+1}{\thenumvr}{\vrconnect{X\Ix}{Y\Ix}}
    \setcounter{var@ligne}{0}
    \\ % dernier retour ligne du tableau
}

\newcommand*{\valpos}[3][c]{
    \stepcounter{var@noeud}
    \ifthenelse{\thevar@ligne=#2}{
        \noeud[#1]{N\thevar@noeud}{#3}
    }{} % si ligne != #2, on ne fait rien
}

\newcommand*{\zbox}[2][c]{\makebox[0pt][#1]{$#2$}}

\newcommand*{\tv@pos}[3][c]{
    \def\val@@pos{c}
    \ifextleft
        \ifthenelse{\thetv@icol=0}{\def\val@@pos{l}}{}
    \fi
    \ifextright
        \ifthenelse{\thetv@icol>\thenb@intervals}{\def\val@@pos{r}}{}
    \fi
    \zbox[\val@@pos]{\valpos[#1]{#2}{#3}}
}
\newcommand*{\tv@@pos}[2]{\ifthenelse{\thevar@ligne=#1}{#2}{}}
\newcommand*{\pos}{\@ifstar{\tv@@pos}{\tv@pos}}

\newcommand*{\haut}{\pos{1}}

\newcommand*{\bas}{\pos{\value{nbvarlignes}}}

\newcommand*{\vdecal}[2]{\smash{\raisebox{#1}{$#2$}}}

\newcommand*{\mil}[1]{%
    \setcounter{mil@row}{\value{nbvarlignes}}
    \ifthenelse{\isodd{\value{nbvarlignes}}}{
        \addtocounter{mil@row}{1}
        \divide\value{mil@row} by 2
        \pos*{\themil@row}{\smash{#1}}
    }{
        \divide\value{mil@row} by 2
        \mil@shift = \dp\@arstrutbox
        \advance\mil@shift by 0.5ex
        \pos*{\themil@row}{\vdecal{-\mil@shift}{#1}}
    }
}

\newcommand*{\barre}[1][]{\makebox[0pt]{$#1$}%
    \color{tvbarrecolor}%
    \hspace{-0.5\tvbarrewidth}\vrule width \tvbarrewidth}

\newcommand*{\bb}{%
    \kern1.5pt\vrule width \bbrulewidth\kern1pt
    \vrule width \bbrulewidth\kern1.5pt}

\newcommand*{\@limg}[3][c]{%
    \zbox[r]{\valpos[#1]{#2}{#3\hspace{\limsep}}}}
\newcommand*{\@limd}[3][c]{%
    \zbox[l]{\valpos[#1]{#2}{\hspace{\limsep}#3}}}
\newcommand*{\@@limg}[1]{%
    \ifthenelse{\equal{#1}{+}}{\@limg{1}{+\infty}}{
    \ifthenelse{\equal{#1}{-}}{\@limg{\value{nbvarlignes}}{-\infty}}{
        \PackageError{tablvar}{Invalid argument for \string\limg*}
            {Only + or - are valid arguments for \string\limg*}
    }}
}
\newcommand*{\@@limd}[1]{%
    \ifthenelse{\equal{#1}{+}}{\@limd{1}{+\infty}}{
    \ifthenelse{\equal{#1}{-}}{\@limd{\value{nbvarlignes}}{-\infty}}{
        \PackageError{tablvar}{Invalid argument for \string\limd*}
            {Only + or - are valid arguments for \string\limd*}
    }}
}
\newcommand{\limg}{\@ifstar{\@@limg}{\@limg}}
\newcommand{\limd}{\@ifstar{\@@limd}{\@limd}}

\newcommand*{\discont}{
    \ifthenelse{\thevar@ligne=1}{
        % on ne compte les discontinuités qu'une seule fois, sur ligne 1
        \ifthenelse{\thenumdiscont=0}{
            \ifthenelse{\thevar@noeud > 0}{% pas avant le 1er nœud
                \stepcounter{numdiscont}
                \setcounter{discont\thenumdiscont}{\thevar@noeud}
            }{}
        }{% on ne compte pas 2 fois la même discontinuité
            \ifthenelse{\thevar@noeud > \value{discont\thenumdiscont}}{
                \stepcounter{numdiscont}
                \setcounter{discont\thenumdiscont}{\thevar@noeud}
            }{}
        }
    }{}
}

\newcommand*{\@bblim}[4]{\limg{#1}{#2}\bb\discont\limd{#3}{#4}}
\newcommand*{\@@bblim}[2]{\limg*{#1}\bb\discont\limd*{#2}}
\newcommand*{\bblim}{\@ifstar{\@@bblim}{\@bblim}}

\newcommand*{\vr}[2][2]{% ligne 2 par défaut sauf si tv@row=1
    \stepcounter{numvr}
    \ifthenelse{\thetv@row=1}{\noeud{X\thenumvr}{#2}}{
        \ifthenelse{\thevar@ligne=#1}{\noeud{Y\thenumvr}{#2}}{}
    }
}

\newcommand*{\posvr}[3][c]{%
    \stepcounter{numvr}
    \tv@pos[#1]{#2}{\noeud{Y\thenumvr}{#3}}}

\newcommand\ZIfind{% calcule numZI
   \setcounter{numZI}{0}
    \multido{\I=1+1}{\thenbZI}{% il existe déjà des ZI à la même colonne
        \ifthenelse{\value{ZI\I}=\value{tv@icol}}{
            \setcounter{numZI}{\I}
        }{}
    }
}

\newcommand\ZInew{
    \multido{\I=1+1}{\thenbZI}{% on cherche s'il y a des ZI\I=0
        \ifthenelse{\value{ZI\I}=0}{\setcounter{numZI}{\I}}{}
    }
    \ifthenelse{\value{numZI}>0}{}{
        % si pas de ZI disponible il faut augmenter nbZI
        \stepcounter{nbZI}
        \setcounter{numZI}{\value{nbZI}}
    }
    \setcounter{ZI\thenumZI}{\value{tv@icol}}
}

\newcommand*\ZIreset[1]{
    \ifnum #1 > 0 \setcounter{ZI#1}{0} \fi
    \ifnum #1 = 1
        \global\ZIheighti=0pt
    \else \ifnum #1 = 2
        \global\ZIheightii=0pt
    \else \ifnum #1 = 3
        \global\ZIheightiii=0pt
    \else \ifnum #1 = 4
        \global\ZIheightiv=0pt
    \fi\fi\fi\fi
}

\newcommand*\ZIaddheight[1]{
    \ZIheight=0pt
    \advance\ZIheight by \tv@cellheight
    \advance\ZIheight by \tv@celldepth
    \advance\ZIheight by 0.5\arrayrulewidth
    \ifnum #1 = 1
        \global\advance\ZIheighti by \ZIheight
    \else \ifnum #1 = 2
        \global\advance\ZIheightii by \ZIheight
    \else \ifnum #1 = 3
        \global\advance\ZIheightiii by \ZIheight
    \else \ifnum #1 = 4
        \global\advance\ZIheightiv by \ZIheight
    \fi\fi\fi\fi
}

\newcommand*\ZIgetheight[1]{%
    \ifnum #1=1
        \global\ZIheight=\ZIheighti
    \else \ifnum #1 = 2
        \global\ZIheight=\ZIheightii
    \else \ifnum #1 = 3
        \global\ZIheight=\ZIheightiii
    \else \ifnum #1 = 4
        \global\ZIheight=\ZIheightiv
    \fi\fi\fi\fi
}
\newcommand*{\@ZI}[1][0pt]{%
    \discont
    \ifthenelse{\thevar@ligne=\value{nbvarlignes}}{\@@ZI[#1]}{%
        \ZIfind
        \ifnum \thenumZI = 0 \ZInew \fi
        \ZIaddheight{\thenumZI}
    }
}

\newcommand*{\@@ZI}[1][0pt]{
    \discont
    \ZIfind
    \ifnum \thenumZI > 0 \ZIgetheight{\thenumZI} \else \ZIheight=0pt \fi
    \advance\ZIheight by \tv@cellheight
    \advance\ZIheight by 0.5\arrayrulewidth
    \advance\ZIheight by #1
    \ZIdepth = \tv@celldepth
    \ZIwidth = \intervalwidth
    \advance\ZIwidth by 2\innercolsep
    \advance\ZIwidth by \colvalwidth
    \advance\ZIwidth by -1pt % au bord des double barres
    \advance\ZIwidth by \ZIaddwidth
    \ifthenelse{\equal{\ZItype}{h}}{
        \hachure{-0.5\ZIwidth,-\ZIdepth}{0.5\ZIwidth,\ZIheight}
    }{
        \ZIcouleur{-0.5\ZIwidth,-\ZIdepth}{0.5\ZIwidth,\ZIheight}
    }
    \ZIreset{\thenumZI}
}

\newcommand*{\ZI}{\@ifstar{\@@ZI}{\@ZI}}

\newcommand*{\ZIc}[1][0pt]{\renewcommand{\ZItype}{c}\@@ZI[#1]}
\newcommand{\ZIh}{\renewcommand{\ZItype}{h}\ZI}
\endinput
%%
%% End of file `tablvar.sty'.