% tkz-tab.sty -- tables of signs and variations (French style) with TikZ
% Copyright 2009-2026  Alain Matthes
% SPDX-License-Identifier: LPPL-1.3c
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3c
% 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 1.3c or later is part of all distributions of LaTeX
% version 2005/12/01 or later.
%
% This work has the LPPL maintenance status “maintained”.
%
% The Current Maintainer of this work is Alain Matthes.
%
% Main macros : \tkzTabInit (frame and first line), \tkzTabLine (line of
% signs), \tkzTabVar (line of variations), \tkzTabVal, \tkzTabIma,
% \tkzTabImaFrom, \tkzTabTan, \tkzTabTanFrom (intermediate values,
% images, horizontal tangents), \tkzTabSlope, \tkzTab (all in one),
% \tkzTabSetup and \tkzTabColors (styles and colors).
%
% v2.13 (2026/10/05) -- keys and internal code, no change for the user
%  - keys : xkeyval replaced by pgfkeys (already loaded by TikZ) ;
%    same names, same default values, defaults reset at each call
%    as before (\tkzTabSetup included)
%  - \tkzTabVar : the 31 symbols are now keys /tkztab/var/<symbol>
%    (the long cascade of \ifthenelse is removed) ; a new symbol can be
%    added with \pgfkeys{/tkztab/var/<symbol>/.code={...}}
%  - \tkzTabLine : the symbols z, t, d, h are now keys
%    /tkztab/line/odd/<s> and /tkztab/line/even/<s>
%  - useless \makeatletter/\makeatother removed (\tkzTabLine, \tkzDrawArrow)
%  - xkeyval is no longer loaded : a document that used it without
%    loading it must now load it
%  - option help : the labels of the nodes no longer fail with the TikZ
%    library babel inside an environment such as tkzexample
% v2.12c (2020/04/29) -- CTAN version
%<----------------------------------------------------------------------------->
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{tkz-tab}[2026/10/19 v2.13c (tables of variations)]
%<----------------------------------------------------------------------------->
\RequirePackage{ifthen}
\RequirePackage{tikz}
% xkeyval -> pgfkeys : \setkeys[TAB]{fam}{...} remplacé par \tkztab@setkeys{fam}{...}
% Les valeurs par défaut (@defaults) sont réappliquées à chaque appel,
% comme le faisaient les \presetkeys de xkeyval.
\def\tkztab@setkeys#1#2{\pgfqkeys{/tkztab/#1}{@defaults,#2}}
\usetikzlibrary{arrows,patterns}
%<------------------------------ Initialisation ----------------------------->

%<------------------------------   Styles       ----------------------------->
%<------------------------------   Colors       ----------------------------->
\def\tkzTabDefaultWritingColor{black}
\def\tkzTabDefaultBackgroundColor{white}
\def\tkzTabDefaultLineWidth{0.4pt}
\def\tkzTabDefaultArrowStyle{latex'}
\def\tkzTabDefaultSep{2pt}
\def\cmdTAB@backgroundcolor{white}
\def\cmdTAB@writecolor{black}
\def\cmdTAB@TTS@doubledistance{1pt}
\def\cmdTAB@TG@hcolor{gray}
\let\cmdTAB@TG@patterncolor\cmdTAB@writecolor
\def\cmdTAB@TG@patternstyle{north west lines}
\let\cmdTAB@TG@color\cmdTAB@writecolor
\let\cmdTAB@tbs@colorT\cmdTAB@backgroundcolor
\let\cmdTAB@VA@color\cmdTAB@writecolor
\let\cmdTAB@arrowcolor\cmdTAB@writecolor
%<-------------------------------------------------------------------------->
\tikzset{node style/.style  = {inner sep   =  \tkzTabDefaultSep,
                               outer sep   =  \tkzTabDefaultSep,
                               fill        =  \tkzTabDefaultBackgroundColor}} 
\tikzset{low left/.style    = {above left  =  \tkzTabDefaultSep}}
\tikzset{low right/.style   = {above right =  \tkzTabDefaultSep}}
\tikzset{high right/.style  = {below right =  \tkzTabDefaultSep}}
\tikzset{high left/.style   = {below left  =  \tkzTabDefaultSep}}
\tikzset{low/.style         = {above       =  \tkzTabDefaultSep}}
\tikzset{high/.style        = {below       =  \tkzTabDefaultSep}}
\tikzset{on double/.style   = {fill        =  \tkzTabDefaultBackgroundColor}}
\tikzset{tan style/.style   = {>           =  \tkzTabDefaultArrowStyle,
                               ->,
                               color       =  \tkzTabDefaultWritingColor}}
\tikzset{arrow style/.style = {\tkzTabDefaultWritingColor,
                               ->,
                               >            = \tkzTabDefaultArrowStyle,
                               shorten >    = \tkzTabDefaultSep,
                               shorten <    = \tkzTabDefaultSep}}
\tikzset{from style/.style   = {shorten >   = \tkzTabDefaultSep,
                                shorten <   = \tkzTabDefaultSep,
                                line width  = \tkzTabDefaultLineWidth,
                                >           = \tkzTabDefaultArrowStyle,
                                ->,
                                draw        = \tkzTabDefaultWritingColor,
                                dotted}}

\tikzset{t style/.style = {style  = dotted,
                           draw   = \tkzTabDefaultWritingColor}}

\tikzset{h style/.style = {pattern       = north west lines,
                           pattern color = \tkzTabDefaultWritingColor}}

\tikzset{double style/.append style = {%
         draw            = \tkzTabDefaultWritingColor,
         double          =  \tkzTabDefaultBackgroundColor}}
%<--------------------- Colorisation du fond ------------------------------>
\tikzset{fondC/.style={fill = \tkzTabDefaultBackgroundColor}}
\tikzset{fondL/.style={fill = \tkzTabDefaultBackgroundColor}}
\tikzset{fondT/.style={fill = \tkzTabDefaultBackgroundColor}}
\tikzset{fondV/.style={fill = \tkzTabDefaultBackgroundColor}}
%<------------------------------ End of  Styles  ---------------------------->
\newdimen\tkz@XF
\newdimen\tkz@YF
\newcounter{tkz@cnt@line}
\newcounter{tkz@cnt@lg}
\newcounter{tkz@cnt@cl}
\newcounter{tkz@cnt@pred}
\newcounter{tkz@cnt@temp}
\newcounter{tkz@cnt@arrow}
\newcounter{tkz@cnt@zone}
\newcounter{tkz@cnt@lgnext}
\newcounter{tkz@cnt@clnext}
\newcounter{tkz@cnt@pair}
\newcounter{tkz@cnt@impair}
\newcounter{tkz@cnt@aw}
%<--------------------------------------------------------------------------->
\pgfkeys{/tkztab/TTC/.cd,
  color/.store in           = \cmdTAB@TTC@color,
  backgroundcolor/.store in = \cmdTAB@TTC@backgroundcolor,
  @defaults/.style = {color           = black,
                      backgroundcolor = white}}
\newcommand*{\tkzTabColors}[1][]{% 
\tkztab@setkeys{TTC}{#1}
\let\tkzTabDefaultWritingColor\cmdTAB@TTC@color
\let\tkzTabDefaultBackgroundColor\cmdTAB@TTC@backgroundcolor
\let\cmdTAB@backgroundcolor\cmdTAB@TTC@backgroundcolor
\let\cmdTAB@writecolor\cmdTAB@TTC@color
\let\cmdTAB@doublecolor\cmdTAB@TTC@backgroundcolor 
\let\cmdTAB@patterncolor\cmdTAB@TTC@color
\let\cmdTAB@tcolor\cmdTAB@TTC@color 
\tikzset{fondC/.style={fill = \tkzTabDefaultBackgroundColor}}
\tikzset{fondL/.style={fill = \tkzTabDefaultBackgroundColor}}
\tikzset{fondT/.style={fill = \tkzTabDefaultBackgroundColor}}
\tikzset{fondV/.style={fill = \tkzTabDefaultBackgroundColor}}
}
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
\newif\ifTAB@TTS@crosslines
\pgfkeys{/tkztab/TTS/.cd,
  crosslines/.is if        = TAB@TTS@crosslines,
  doubledistance/.store in = \cmdTAB@TTS@doubledistance,
  lw/.store in             = \cmdTAB@TTS@lw,
  doublecolor/.store in    = \cmdTAB@TTS@doublecolor,
  color/.store in          = \cmdTAB@TTS@color,
  backgroundcolor/.store in= \cmdTAB@TTS@backgroundcolor,
  patterncolor/.store in   = \cmdTAB@TTS@patterncolor,
  patternstyle/.store in   = \cmdTAB@TTS@patternstyle,
  tstyle/.store in         = \cmdTAB@TTS@tstyle,
  tcolor/.store in         = \cmdTAB@TTS@tcolor,
  tanstyle/.store in       = \cmdTAB@TTS@tanstyle,
  tanarrowstyle/.store in  = \cmdTAB@TTS@tanarrowstyle,
  tancolor/.store in       = \cmdTAB@TTS@tancolor,
  tanwidth/.store in       = \cmdTAB@TTS@tanwidth,
  fromstyle/.store in      = \cmdTAB@TTS@fromstyle,
  fromarrowstyle/.store in = \cmdTAB@TTS@fromarrowstyle,
  fromcolor/.store in      = \cmdTAB@TTS@fromcolor,
  fromwidth/.store in      = \cmdTAB@TTS@fromwidth,
  twidth/.store in         = \cmdTAB@TTS@twidth,
  hcolor/.store in         = \cmdTAB@TTS@hcolor,
  hopacity/.store in       = \cmdTAB@TTS@hopacity,
  arrowcolor/.store in     = \cmdTAB@TTS@arrowcolor,
  arrowstyle/.store in     = \cmdTAB@TTS@arrowstyle,
  arrowlinewidth/.store in = \cmdTAB@TTS@arrowlinewidth,
  @defaults/.style = {doubledistance   = 1pt,
                      doublecolor      = \tkzTabDefaultBackgroundColor,
                      lw               = \tkzTabDefaultLineWidth,
                      color            = \tkzTabDefaultWritingColor,
                      backgroundcolor  = \tkzTabDefaultBackgroundColor,
                      patterncolor     = \tkzTabDefaultWritingColor,
                      patternstyle     = north west lines,
                      tstyle           = dotted,
                      tcolor           = \tkzTabDefaultWritingColor,
                      tanarrowstyle    = \tkzTabDefaultArrowStyle,
                      tanstyle         = ->,
                      tancolor         = \tkzTabDefaultWritingColor,
                      tanwidth         = \tkzTabDefaultLineWidth,
                      fromarrowstyle   = \tkzTabDefaultArrowStyle,
                      fromstyle        = ->,
                      fromcolor        = \tkzTabDefaultWritingColor,
                      fromwidth        = \tkzTabDefaultLineWidth,
                      twidth           = \tkzTabDefaultLineWidth,
                      hcolor           = \tkzTabDefaultWritingColor,
                      hopacity         = 0.4,
                      crosslines       = false,
                      arrowcolor       = \tkzTabDefaultWritingColor,
                      arrowstyle       = \tkzTabDefaultArrowStyle,
                      arrowlinewidth   = \tkzTabDefaultLineWidth}}
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
\newcommand*{\tkzTabSetup}[1][]{%
\tkztab@setkeys{TTS}{#1}
\tikzset{from style/.append style = {line width  = \cmdTAB@TTS@fromwidth,
                                     >           = \cmdTAB@TTS@fromarrowstyle,
                                     \cmdTAB@TTS@fromstyle,
                                     \cmdTAB@TTS@fromcolor}}

\tikzset{tan style/.style  = {\cmdTAB@TTS@tanstyle,
                              > = \cmdTAB@TTS@tanarrowstyle,
                              \cmdTAB@TTS@tancolor}}

\tikzset{double style/.append style = {%
         draw            = \cmdTAB@TTS@color,
         double          = \cmdTAB@TTS@doublecolor,
         double distance = \cmdTAB@TTS@doubledistance,
         line width      = \cmdTAB@TTS@lw}}
\tikzset{t style/.style = {style      = \cmdTAB@TTS@tstyle,
                           draw       = \cmdTAB@TTS@tcolor,
                           line width = \cmdTAB@TTS@twidth}}
\tikzset{arrow style/.append style = {\cmdTAB@TTS@arrowcolor,
                                      > = \cmdTAB@TTS@arrowstyle,
                                    line width = \cmdTAB@TTS@arrowlinewidth}}
\tikzset{node style/.append style  = { fill =  \cmdTAB@TTS@backgroundcolor}}
\tikzset{fondC/.style={fill = \cmdTAB@TTS@backgroundcolor}}
\tikzset{fondL/.style={fill = \cmdTAB@TTS@backgroundcolor}}
\tikzset{fondT/.style={fill = \cmdTAB@TTS@backgroundcolor}}
\tikzset{fondV/.style={fill = \cmdTAB@TTS@backgroundcolor}}
\ifTAB@TTS@crosslines% 
  \tikzset{h style/.style = {pattern    = north west lines,
                             pattern color = \cmdTAB@TTS@patterncolor}}
\else
  \tikzset{h style/.style = {fill       = \cmdTAB@TTS@patterncolor!50,
                             opacity    = \cmdTAB@TTS@hopacity}}
\fi
}
%<--------------------- tracé du cadre extérieur  --------------------------->
\newif\ifTAB@tbs@help
\newif\ifTAB@tbs@color
\newif\ifTAB@tbs@nocadre
\pgfkeys{/tkztab/tbs/.cd,
  help/.is if       = TAB@tbs@help,
  color/.is if      = TAB@tbs@color,
  nocadre/.is if    = TAB@tbs@nocadre,
  lw/.store in      = \cmdTAB@tbs@lw,
  textw/.store in   = \cmdTAB@tbs@textw,
  colorC/.store in  = \cmdTAB@tbs@colorC,
  colorL/.store in  = \cmdTAB@tbs@colorL,
  colorT/.store in  = \cmdTAB@tbs@colorT,
  colorV/.store in  = \cmdTAB@tbs@colorV,
  lgt/.store in     = \cmdTAB@tbs@lgt,
  espcl/.store in   = \cmdTAB@tbs@espcl,
  deltacl/.store in = \cmdTAB@tbs@deltacl,
  @defaults/.style = {help     = false,
                      espcl    = 3,
                      lgt      = 2,
                      textw    = \cmdTAB@tbs@lgt,
                      lw       = \tkzTabDefaultLineWidth,
                      colorC   = \tkzTabDefaultBackgroundColor,
                      colorL   = \tkzTabDefaultBackgroundColor,
                      colorT   = \tkzTabDefaultBackgroundColor,
                      colorV   = \tkzTabDefaultBackgroundColor,
                      color    = false,
                      nocadre  = false,
                      deltacl  = 0.5}}
%<--------------------------------------------------------------------------->
%<-------------- Macro principale : détermine les dim ----------------------->
%<--------------------------------------------------------------------------->
\newcommand*{\tkzTabInit}[3][]{%
  \tkztab@setkeys{tbs}{#1}
  \setcounter{tkz@cnt@line}{1}
  \setcounter{tkz@cnt@lgnext}{0}
  \setcounter{tkz@cnt@clnext}{0}
  \setcounter{tkz@cnt@aw}{0}
  \setcounter{tkz@cnt@lg}{0}
  \setcounter{tkz@cnt@cl}{0}
  \setcounter{tkz@cnt@pred}{0}
  \setcounter{tkz@cnt@temp}{0}
  \setcounter{tkz@cnt@arrow}{0}
  \setcounter{tkz@cnt@zone}{0}
  \gdef\tkz@deltaY{0}
%<----------------------- Première colonne ---------------------------------->
\foreach \ligne/\ecart in {#2}{%
   \stepcounter{tkz@cnt@lg}%
}%
\stepcounter{tkz@cnt@lg}%
\foreach \colonne in {#3}{%
   \stepcounter{tkz@cnt@cl}%
}%
\addtocounter{tkz@cnt@cl}{-1}%
\let\tkz@nbinterv\thetkz@cnt@cl
\addtocounter{tkz@cnt@lg}{-1}%
\xdef\maxtkz@cnt@lg{\thetkz@cnt@lg}%
\xdef\tkz@maxcl{\thetkz@cnt@cl}%
\pgfmathparse{\cmdTAB@tbs@lgt+2*\cmdTAB@tbs@deltacl+\cmdTAB@tbs@espcl*\tkz@nbinterv}%
\global\let\tkz@lgttab\pgfmathresult
\global\let\tkz@lgttab\tkz@lgttab
\coordinate(T00) at (0,0);
\coordinate(T10) at (\cmdTAB@tbs@lgt,0);
\coordinate(T20) at (\tkz@lgttab,0);
\setcounter{tkz@cnt@lg}{0}%
\foreach \ligne/\tkz@deltaH in {#2}{%
   \setcounter{tkz@cnt@cl}{0}%
   \foreach \x in {#3}{%
       \pgfmathmultiply{\cmdTAB@tbs@espcl}{\value{tkz@cnt@cl}}%
       \global\let\ecartcl\pgfmathresult
       \pgfmathparse{\cmdTAB@tbs@lgt+\cmdTAB@tbs@deltacl+\ecartcl}%
       \global\let\tkz@ddx\pgfmathresult
       \stepcounter{tkz@cnt@cl}%
       \coordinate(N\thetkz@cnt@cl 0) at (\tkz@ddx,-\tkz@deltaY);}}%
\foreach \m in {1,...,\tkz@maxcl}{%
    \setcounter{tkz@cnt@clnext}{\m}%
    \stepcounter{tkz@cnt@clnext}%
    \path (N\m 0)--(N\thetkz@cnt@clnext 0) coordinate[midway](M\m 0);}%
\setcounter{tkz@cnt@cl}{0}%
\setcounter{tkz@cnt@lg}{0}%
\foreach \ligne/\tkz@deltaH in {#2}{%
    \stepcounter{tkz@cnt@lg}%
    \pgfmathadd{\tkz@deltaY}{\tkz@deltaH}%
    \global\let\tkz@deltaY\pgfmathresult
    \coordinate(T0\thetkz@cnt@lg) at (0,-\tkz@deltaY);
    \coordinate(T1\thetkz@cnt@lg) at (\cmdTAB@tbs@lgt,-\tkz@deltaY);
    \coordinate(T2\thetkz@cnt@lg) at (\tkz@lgttab,-\tkz@deltaY);
    \setcounter{tkz@cnt@cl}{0}%
    \foreach \x in {#3}{%
        \pgfmathparse{\cmdTAB@tbs@lgt+\cmdTAB@tbs@deltacl+%
        \cmdTAB@tbs@espcl*\thetkz@cnt@cl}%
        \global\let\tkz@ddx\pgfmathresult
        \stepcounter{tkz@cnt@cl}%
        \coordinate(N\number\value{tkz@cnt@cl}%
                     \number\value{tkz@cnt@lg})%
                       at (\tkz@ddx,-\tkz@deltaY);
        }%
    \foreach \m in {1,...,\tkz@maxcl}{%
        \setcounter{tkz@cnt@clnext}{\m}%
        \stepcounter{tkz@cnt@clnext}%
        \path (N\m\number\value{tkz@cnt@lg})--%
              (N\thetkz@cnt@clnext\number\value{tkz@cnt@lg})%
              coordinate[midway](M\m\number\value{tkz@cnt@lg});
        \ifTAB@tbs@help%
        \draw[fill=green!30!black] (M\m\number\value{tkz@cnt@lg}) circle(2pt)%
         node[below right,green!30!black] {%
         \footnotesize M\m\number\value{tkz@cnt@lg}}; 
        \fi
        }%
    \pgfmathdivide{\cmdTAB@tbs@lgt}{2}%
    \global\let\tkz@tab@dx\pgfmathresult
    \pgfmathdivide{\tkz@deltaH}{2}%
    \global\let\tkz@halfdeltaH\pgfmathresult
    \pgfmathsubtract{\tkz@halfdeltaH}{\tkz@deltaY}%
    \global\let\tkz@tab@dy\pgfmathresult
    \setcounter{tkz@cnt@temp}{\thetkz@cnt@lg}%
    \addtocounter{tkz@cnt@temp}{-1}%
    \path (\tkz@tab@dx,\tkz@tab@dy) coordinate(F\thetkz@cnt@temp);}%
% 
%<--------------------- Colorisation du fond ------------------------------>
\tikzset{fondC/.style={fill = \cmdTAB@tbs@colorC}}
\tikzset{fondL/.style={fill = \cmdTAB@tbs@colorL}}
\tikzset{fondT/.style={fill = \cmdTAB@tbs@colorT}}
\tikzset{fondV/.style={fill = \cmdTAB@tbs@colorV}}  
\ifTAB@tbs@color
  \draw[fondC] (T01) rectangle (T1\maxtkz@cnt@lg);
  \draw[fondL] (T11) rectangle (T20);
  \draw[fondT] (T11) rectangle (T2\maxtkz@cnt@lg);
  \draw[fondV] (T00) rectangle (T11);
\fi
%<-------------------Fin  Colorisation du fond ------------------------------>
% 
%<--------------- Écriture des formules en colonne 1  --------------------->
\setcounter{tkz@cnt@lg}{-1}%
\pgfmathsubtract{\cmdTAB@tbs@textw}{0.4}%
\xdef\cmdTAB@tbs@textw{\pgfmathresult}%
\foreach \ligne/\tkz@deltaH in {#2}{%
\stepcounter{tkz@cnt@lg}% 
\ifTAB@tbs@help%
\node[draw,fill=green!50,inner sep=1pt] at (F\number\value{tkz@cnt@lg}) {\footnotesize  F\number\value{tkz@cnt@lg}};
\else
\node[text width = \cmdTAB@tbs@textw cm,text centered,inner sep=0pt] at (F\thetkz@cnt@lg) {\ligne};
\fi}%
%<--------------- Cadre = true on trace tout sinon condition---------------->
\ifTAB@tbs@nocadre%
\draw[line width = \cmdTAB@tbs@lw] (T10) --(T1\maxtkz@cnt@lg);
\setcounter{tkz@cnt@temp}{\maxtkz@cnt@lg}%
\addtocounter {tkz@cnt@temp}{-1}%
\xdef\maxtkz@cnt@lg{\thetkz@cnt@temp}% 
\foreach \y in {1,...,\maxtkz@cnt@lg}{\draw[line width = \cmdTAB@tbs@lw] (T0\y) --(T2\y);}%
\else
\foreach \y in {1,...,\maxtkz@cnt@lg}{\draw[line width = \cmdTAB@tbs@lw] (T0\y) --(T2\y);}%
\draw[line width = \cmdTAB@tbs@lw] (T00) rectangle (T2\maxtkz@cnt@lg); 
\draw[line width = \cmdTAB@tbs@lw] (T10) -- (T1\maxtkz@cnt@lg); 
\fi 
%<------------ Première ligne et Nodes variations  -------------------------->
\setcounter{tkz@cnt@cl}{0}%
\pgfextractx{\tkz@XF}{\pgfpointanchor{F0}{center}}%
\pgfextracty{\tkz@YF}{\pgfpointanchor{F0}{center}}%
\foreach \x in {#3}{%
\pgfmathparse{\cmdTAB@tbs@deltacl+\cmdTAB@tbs@lgt/2+%
              \cmdTAB@tbs@espcl*\thetkz@cnt@cl}%
    \global\let\tkz@tab@dx\pgfmathresult
    \stepcounter{tkz@cnt@cl}% 
    \ifTAB@tbs@help%  
    \node[draw,fill=blue!50,inner sep=1pt] (L\number\value{tkz@cnt@cl})%
        at (\tkz@XF + \tkz@tab@dx cm,\tkz@YF) {\footnotesize L\number\value{tkz@cnt@cl}};%
    \else
    \node (L\thetkz@cnt@cl) at (\tkz@XF + \tkz@tab@dx cm,\tkz@YF) {\x};%
    \fi}%
%<------------------------           help       ----------------------------->
\ifTAB@tbs@help%
\foreach \colonne in {0,1,2}{%
\foreach \ligne in {0,...,\maxtkz@cnt@lg}{\draw (T\colonne\ligne)%
  node[draw,fill=red!50,inner sep=1pt] {\textbf{\footnotesize T\colonne\ligne}};}}%
\setcounter{tkz@cnt@temp}{\tkz@maxcl}
\stepcounter{tkz@cnt@temp}
\xdef\tkz@maxcl{\thetkz@cnt@temp}%
\foreach \ligne in {0,...,\maxtkz@cnt@lg}
{\foreach \colonne in {1,...,\tkz@maxcl}{%
       \draw[fill=red] (N\colonne\ligne) circle(2pt)%
       node[above right,red,inner sep=1pt] {\footnotesize N\colonne\ligne};}}%
\fi
}% fin de tkzTabInit
%<--------------------------------------------------------------------------->
%<--------------------- Ligne de Signes ------------------------------------->
%<-----------------------  tkzTabLine     ----------------------------------->
\newcommand*\stripspaces[1]{%
  \strip@spaces{#1}}
\newcommand\strip@spaces{\renewcommand\strip@spaces[1]}%
\expandafter\strip@spaces{%
    \@firstofone{\expandafter\strip@lastspace\@firstofone #1\@nil}
\@nil\@@nil}
\@ifdefinable\strip@lastspace{%
  \def\strip@lastspace#1 \@nil#2\@@nil{\strip@nil#1\@nil\@@nil}}
\@ifdefinable\strip@nil{%
  \def\strip@nil#1\@nil#2\@@nil{#1}}
%<--------------------------------------------------------------------------->
\newif\ifTAB@TL@help
\pgfkeys{/tkztab/TL/.cd,
  help/.is if      = TAB@TL@help,
  @defaults/.style = {help = false}}
%<--------------------------------------------------------------------------->
% \tkztab@sym : le symbole lu dans \x, sans espaces, réduit à une chaîne
% (\detokenize) pour pouvoir servir de nom de clé quel que soit le contenu.
\def\tkztab@getsym{%
  \protected@edef\tkztab@sym{\expandafter\stripspaces\expandafter{\x}}%
  \edef\tkztab@sym{\detokenize\expandafter{\tkztab@sym}}}
% Un symbole de \tkzTabLine = une clé /tkztab/line/odd/<s> (sur un filet)
% ou /tkztab/line/even/<s> (entre deux filets) ; @other = cas général.
\pgfkeys{/tkztab/line/.cd,
  odd/z/.code = {%
         \draw[line width = \cmdTAB@tbs@lw,t style]%
              (N\thetkz@cnt@impair\thetkz@cnt@lg) -- %
              (N\thetkz@cnt@impair\thetkz@cnt@lgnext);
              \node at (Z\thetkz@cnt@impair\thetkz@cnt@lg){$0$};},
  odd/t/.code = {%
         \draw[line width = \cmdTAB@tbs@lw,t style]
              (N\thetkz@cnt@impair\thetkz@cnt@lg) -- %
              (N\thetkz@cnt@impair\thetkz@cnt@lgnext);},
  odd/d/.code = {%
       \draw[line width =\cmdTAB@tbs@lw,double style]%
         ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@impair\thetkz@cnt@lg)--%
         ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@impair\thetkz@cnt@lgnext);},
  odd/@other/.code = {%
      \path (N\thetkz@cnt@impair\thetkz@cnt@lg)--%
            (N\thetkz@cnt@impair\thetkz@cnt@lgnext);
            \node at (Z\thetkz@cnt@impair\thetkz@cnt@lg){$\x$};},
  even/h/.code = {%
          \setcounter{tkz@cnt@clnext}{\thetkz@cnt@pair}%
          \stepcounter{tkz@cnt@clnext}%
          \pgfmathparse{\cmdTAB@TTS@doubledistance/2+\cmdTAB@tbs@lw}%
          \global\let\tkz@deltax\pgfmathresult
          \fill[h style]([xshift=\tkz@deltax,yshift=-\cmdTAB@tbs@lw/2]%
                                N\thetkz@cnt@pair\thetkz@cnt@lg)
                          rectangle%
                       ([xshift=-\tkz@deltax,yshift=\cmdTAB@tbs@lw/2]%
                                N\thetkz@cnt@clnext\thetkz@cnt@lgnext);},
  even/@other/.code = {%
          \node at (S\thetkz@cnt@pair\thetkz@cnt@lg) {$\x$};}}
%<--------------------------------------------------------------------------->
\def\tkztab@linesym#1{% #1 = odd ou even
  \tkztab@getsym
  \pgfkeysifdefined{/tkztab/line/#1/\tkztab@sym/.@cmd}%
    {\pgfkeys{/tkztab/line/#1/\tkztab@sym}}%
    {\pgfkeys{/tkztab/line/#1/@other}}}
%<--------------------------------------------------------------------------->
\newcommand{\tkzTabLine}[2][]{%
 \tkztab@setkeys{TL}{#1}%
 \setcounter{tkz@cnt@lg}{\thetkz@cnt@line}%
 \stepcounter{tkz@cnt@line}%
 \setcounter{tkz@cnt@lgnext}{\thetkz@cnt@line}%
 \setcounter{tkz@cnt@cl}{1}%
 \setcounter{tkz@cnt@pair}{1}%
 \setcounter{tkz@cnt@impair}{1}%
 \ifTAB@TL@help%
 \foreach \x in {#2}
   {
   \ifthenelse{\isodd{\value{tkz@cnt@cl}}}{%
   \path (N\thetkz@cnt@impair\thetkz@cnt@lg) --%
           node[draw,inner sep =1pt,midway,fill=yellow]%
            {\footnotesize Z\number\value{tkz@cnt@impair}\number\value{tkz@cnt@lg}}%
         (N\thetkz@cnt@impair\thetkz@cnt@lgnext);
         \stepcounter{tkz@cnt@impair}}{%
   \path (M\thetkz@cnt@pair\thetkz@cnt@lg)--%
         node[draw,inner sep =1pt,midway,fill=yellow]%
        {\footnotesize S\number\value{tkz@cnt@pair}\number\value{tkz@cnt@lg}}%
         (M\thetkz@cnt@pair\thetkz@cnt@lgnext);
   \stepcounter{tkz@cnt@pair}}%
   \stepcounter{tkz@cnt@cl}%
   }%
 \else
 \ifTAB@tbs@color%
  \draw(T1\thetkz@cnt@lg) rectangle (T2\thetkz@cnt@line);%
 \fi
  \foreach \x in {#2}
   {%
   \ifthenelse{\isodd{\value{tkz@cnt@cl}}}{%
     \path (N\thetkz@cnt@impair\thetkz@cnt@lg) --%
             coordinate[midway](Z\thetkz@cnt@impair\thetkz@cnt@lg)%
           (N\thetkz@cnt@impair\thetkz@cnt@lgnext);
     \tkztab@getsym
     \ifx\tkztab@sym\pgfutil@empty\else\tkztab@linesym{odd}\fi
     \stepcounter{tkz@cnt@impair}%
     }{%
       \path (M\thetkz@cnt@pair\thetkz@cnt@lg)--%
             coordinate[midway](S\thetkz@cnt@pair\thetkz@cnt@lg)%
            (M\thetkz@cnt@pair\thetkz@cnt@lgnext);%
       \tkztab@linesym{even}%
       \stepcounter{tkz@cnt@pair}%
        }%
   \stepcounter{tkz@cnt@cl}%
   }% end foreach
   \fi
}%
%<----------------------------  Variations    ------------------------------->
%<--------------------------------------------------------------------------->
%<----------------------- Macro pour tracer une flèche ---------------------->
%<--------------------------------------------------------------------------->
\newcommand*{\tkzDrawArrow}{%
\ifthenelse{\equal{\thetkz@cnt@zone}{0}}{%
  \setcounter{tkz@cnt@pred}{\thetkz@cnt@cl}
  \addtocounter{tkz@cnt@pred}{-1}
  \ifthenelse{\thetkz@cnt@temp>0}{%
    \addtocounter{tkz@cnt@pred}{-\thetkz@cnt@temp}%
    \setcounter{tkz@cnt@temp}{0}}{}%
    \ifTAB@VA@help%
   \draw[fill=orange] (FR\thetkz@cnt@pred\thetkz@cnt@lg) circle(2pt)%
        node[right,orange] {\footnotesize  FR\number\value{tkz@cnt@pred}\number\value{tkz@cnt@lg}};
      \draw[fill=orange]  (FL\thetkz@cnt@cl\thetkz@cnt@lg)circle(2pt)% 
       node[left,orange] {\footnotesize  FL\number\value{tkz@cnt@cl}\number\value{tkz@cnt@lg}}; 
      \else 
   \draw[arrow style] (FR\thetkz@cnt@pred\thetkz@cnt@lg) to%
                     (FL\thetkz@cnt@cl\thetkz@cnt@lg);%
  \fi
  }{%
  \setcounter{tkz@cnt@zone}{0}%
  }%
}%
%<--------------------------------------------------------------------------->
\newif\ifTAB@VA@help
\pgfkeys{/tkztab/VA/.cd,
  help/.is if      = TAB@VA@help,
  color/.store in  = \cmdTAB@VA@color,
  @defaults/.style = {color = \tkzTabDefaultWritingColor,
                      help  = false}}
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
% Un symbole de \tkzTabVar = une clé /tkztab/var/<symbole>.
% Pour ajouter un symbole : \pgfkeys{/tkztab/var/<symbole>/.code={...}}
% Dans le code : \x (symbole), \tl, \tr (expressions gauche et droite).
\pgfkeys{/tkztab/var/.cd,
  D-/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,low right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi};%
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  D+/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,high right] (FR\thetkz@cnt@cl\thetkz@cnt@lg)%
                          at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi};%
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  +D/.code = {%
\draw[double style]%
 ([yshift=-\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- ([yshift=\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,high left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};%
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  +C/.code = {%
\draw[double style]%
	([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg)--%
	([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);%
\node[node style,high,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};%
\node[node style,high,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};%
\ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  -D/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,low left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};%
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  -C/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,low,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at   (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};%
 \node[node style,low,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};%
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  +/.code = {%
\node[node style,high]  (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};
 \node[node style,high]  (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  +V+/.code = {%
\node[node style,high left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};
 \node[node style,high right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  -V-/.code = {%
\node[node style,low left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
 \node[node style,low right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  -V+/.code = {%
\node[node style,low left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
 \node[node style,high right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  +V-/.code = {%
\node[node style,high left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};
 \node[node style,low right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  -/.code = {%
\node[node style,low]  (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
 \node[node style,low]  (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  -D+/.code = {%
\draw[line width =\cmdTAB@tbs@lw,double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,low left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
 \node[node style,high right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  +D-/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,high left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};%
 \node[node style,low right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  -CD+/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,low,on double]  (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
 \node[node style,high right,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  +CD+/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,high,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};
 \node[node style,high right,on double]   (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  -CD-/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,low,on double]  (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
 \node[node style,low right,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  +CD-/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,high,on double]  (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};
 \node[node style,low right,on double] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  -DC+/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- %
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,low left,on double]     (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
 \node[node style,high,on double]   (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  +DC-/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- %
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,high left,on double]  (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};
 \node[node style,low,on double]   (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  -DC-/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- %
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,low left,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
 \node[node style,low,on double]  (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  +DC+/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,high left,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};
 \node[node style,high,on double]  (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  +D+/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- %
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,high left,on double]   (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};
 \node[node style,high right,on double]   (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  -D-/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- %
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,low left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
 \node[node style,low right] (FR\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tr\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}},
  R/.code = {%
\stepcounter{tkz@cnt@temp}},
  +DH/.code = {%
\draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) -- %
 ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,high left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};
 \setcounter{tkz@cnt@clnext}{\thetkz@cnt@cl}\stepcounter{tkz@cnt@clnext}
 \fill[h style]%
 ([xshift=\tkz@deltax] N\thetkz@cnt@cl\thetkz@cnt@lg)%
                          rectangle%  
      (N\thetkz@cnt@clnext\thetkz@cnt@lgnext);
\ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}\stepcounter{tkz@cnt@zone}},
  -DH/.code = {%
\draw[double style]%
 ([yshift=-\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
  ([yshift=\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,low left] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@cl\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
 \setcounter{tkz@cnt@clnext}{\thetkz@cnt@cl}\stepcounter{tkz@cnt@clnext}%
 \fill[h style]%
 ([xshift=\tkz@deltax] N\thetkz@cnt@cl\thetkz@cnt@lg)%
                          rectangle%  
      (N\thetkz@cnt@clnext\thetkz@cnt@lgnext);
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}\stepcounter{tkz@cnt@zone}},
  +CH/.code = {%
\setcounter{tkz@cnt@clnext}{\thetkz@cnt@cl}\stepcounter{tkz@cnt@clnext}
\fill[h style]%
(N\thetkz@cnt@cl\thetkz@cnt@lg)%
  rectangle%
    (N\thetkz@cnt@clnext\thetkz@cnt@lgnext);
 \draw[double style]%
 ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
 ([yshift = \cmdTAB@tbs@lw/2]  N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,high,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};
\ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}\stepcounter{tkz@cnt@zone}},
  -CH/.code = {%
\setcounter{tkz@cnt@clnext}{\thetkz@cnt@cl}\stepcounter{tkz@cnt@clnext}%
 \fill[h style]%
      ([xshift=\tkz@deltax] N\thetkz@cnt@cl\thetkz@cnt@lg)%
                          rectangle%  
           (N\thetkz@cnt@clnext\thetkz@cnt@lgnext);
 \draw[double style]%
      ([yshift = -\cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lg) --%
      ([yshift = \cmdTAB@tbs@lw/2] N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,low,on double](FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
 \ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}\stepcounter{tkz@cnt@zone}},
  +H/.code = {%
\setcounter{tkz@cnt@clnext}{\thetkz@cnt@cl}\stepcounter{tkz@cnt@clnext}
 \fill[h style]%
 (N\thetkz@cnt@cl\thetkz@cnt@lg)%
    rectangle  %
      (N\thetkz@cnt@clnext\thetkz@cnt@lgnext);
 \draw[]%
 (N\thetkz@cnt@cl\thetkz@cnt@lg) -- (N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,high,on double] (FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lg){\ifTAB@VA@help\else\tl\fi};%
\ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}\stepcounter{tkz@cnt@zone}},
  -H/.code = {%
\setcounter{tkz@cnt@clnext}{\thetkz@cnt@cl}\stepcounter{tkz@cnt@clnext}
 \fill[h style]%
      (N\thetkz@cnt@cl\thetkz@cnt@lg)%
       rectangle %
         (N\thetkz@cnt@clnext\thetkz@cnt@lgnext);
 \draw[]%
      (N\thetkz@cnt@cl\thetkz@cnt@lg) -- (N\thetkz@cnt@cl\thetkz@cnt@lgnext);
 \node[node style,low,on double](FL\thetkz@cnt@cl\thetkz@cnt@lg) at (N\thetkz@cnt@aw\thetkz@cnt@lgnext){\ifTAB@VA@help\else\tl\fi};
\ifthenelse{\equal{\thetkz@cnt@arrow}{0}}{}{\tkzDrawArrow}\stepcounter{tkz@cnt@zone}}}
\newcommand*{\tkzTabVar}[2][]{%
\tkztab@setkeys{VA}{#1}%
\setcounter{tkz@cnt@lg}{\thetkz@cnt@line}%
\stepcounter{tkz@cnt@line}%
\setcounter{tkz@cnt@lgnext}{\thetkz@cnt@line}%
\begin{scope}
\tikzset{every node/.style={inner sep =3pt}}%
\setcounter{tkz@cnt@cl}{0}%
\setcounter{tkz@cnt@aw}{0}%
\setcounter{tkz@cnt@temp}{0}%
\setcounter{tkz@cnt@arrow}{0}%
\pgfmathparse{\cmdTAB@TTS@doubledistance/2+\cmdTAB@tbs@lw}
\global\let\tkz@deltax\pgfmathresult 
                   
\ifTAB@tbs@color%
  \draw (T1\thetkz@cnt@lg) rectangle (T2\thetkz@cnt@line);%
\fi%
%<----------------- Lecture des données et création des nodes --------------->
\foreach \x/\tl/\tr in {#2}
{\stepcounter{tkz@cnt@aw}\stepcounter{tkz@cnt@cl}%
\tkztab@getsym
\pgfkeysifdefined{/tkztab/var/\tkztab@sym/.@cmd}%
  {\pgfkeys{/tkztab/var/\tkztab@sym}}%
  {}% symbole non prévu : rien
\stepcounter{tkz@cnt@arrow}}% end de la boucle
%<-------------------------------------------------- Tracé des flèches ------>
\end{scope}%
}% fin de la macro variation
%<--------------------------------------------------------------------------->
%<------------------------- Valeur Intermédiaire ---------------------------->
%<--------------------------------------------------------------------------->
\newif\ifTAB@VI@draw
\pgfkeys{/tkztab/VI/.cd,
  draw/.is if        = TAB@VI@draw,
  remember/.store in = \cmdTAB@VI@remember,
  @defaults/.style   = {draw     = false,
                        remember = lastval}}
%<--------------------------------------------------------------------------->
\newcommand*{\tkzTabVal}[6][]{%
\tkztab@setkeys{VI}{#1}%
\setcounter{tkz@cnt@lg}{\thetkz@cnt@line}%
\addtocounter{tkz@cnt@lg}{-1}%
\pgfextractx{\tkz@XF}{\pgfpointanchor{L#2}{center}} 
\pgfextracty{\tkz@YF}{\pgfpointanchor{L#2}{center}}
\pgfmathparse{\cmdTAB@tbs@espcl * (#4)*(#3-#2)}%
\global\let\tkz@tab@dx\pgfmathresult
\node[inner sep = 0pt,fondL] (ANT) at (\tkz@XF + \tkz@tab@dx cm,\tkz@YF) {#5};
\path coordinate (ANTa) at ([xshift=\tkz@tab@dx cm]N#21);
\path coordinate (ANTb) at ([xshift=\tkz@tab@dx cm]N#2\thetkz@cnt@line);
\path (intersection cs:%
         first line  = {(FR#2\thetkz@cnt@lg)--(FL#3\thetkz@cnt@lg)},%
         second line = {(ANTa)--(ANTb)}) node[node style,fondT](VAL){#6};
\path coordinate (\cmdTAB@VI@remember) at (VAL);
\ifTAB@VI@draw%
  \draw[from style] (ANTa.center) to (VAL);
\fi
}%
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
\newif\ifTAB@IM@draw
\pgfkeys{/tkztab/IM/.cd,
  draw/.is if        = TAB@IM@draw,
  remember/.store in = \cmdTAB@IM@remember,
  @defaults/.style   = {draw     = false,
                        remember = lastval}}
\newcommand*{\tkzTabIma}[5][]{%
\tkztab@setkeys{IM}{#1}%
\setcounter{tkz@cnt@lg}{\thetkz@cnt@line}%
\addtocounter{tkz@cnt@lg}{-1}%
\setcounter{tkz@cnt@lgnext}{\thetkz@cnt@line}%
\path (intersection cs:
     first line  = {(FR#2\thetkz@cnt@lg)--(FL#3\thetkz@cnt@lg)},%
     second line = {(N#4\thetkz@cnt@lg) --(N#4\thetkz@cnt@lgnext)}) node[node style,fondT](IMA){#5};
           \path coordinate (\cmdTAB@IM@remember) at (IMA);
\ifTAB@IM@draw%
    \draw[from style] (N#41) to (IMA);
\fi
}%
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
\newcommand*{\tkzTabImaFrom}[5][]{%
\tkztab@setkeys{IM}{#1}%
\setcounter{tkz@cnt@lg}{\thetkz@cnt@line}%
\addtocounter{tkz@cnt@lg}{-1}%
\path (intersection cs:%
      first line = {(FR#2\thetkz@cnt@lg)--(FL#3\thetkz@cnt@lg)},%
      second line={(#4)--([yshift=-0.5 cm]#4)}) node[node style,fondT](IMA){#5};
      \path coordinate (\cmdTAB@IM@remember) at (IMA);
\ifTAB@IM@draw 
    \draw[from style] (#4) to (IMA);
\fi
}%
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
%<----------------------   tangente horizontale ----------------------------->
% args 1--> options ;
%      2--> tkz@cnt@cl debut fl  ;
%      3--> tkz@cnt@clnext fin de fl ;%
%      4---> n°de val  ;
%      5----> image
\newif\ifTAB@TA@draw
\pgfkeys{/tkztab/TA/.cd,
  pos/.store in      = \cmdTAB@TA@pos,
  pos/.default       = below,
  color/.store in    = \cmdTAB@TA@color,
  draw/.is if        = TAB@TA@draw,
  remember/.store in = \cmdTAB@TA@remember,
  @defaults/.style   = {draw     = false,
                        color    = \tkzTabDefaultWritingColor,
                        pos      = above,
                        remember = lastval}}
%<--------------------------------------------------------------------------->
\newcommand*{\tkzTabTan}[5][]{%
\tkztab@setkeys{TA}{#1}%
\setcounter{tkz@cnt@lg}{\thetkz@cnt@line}%
\addtocounter{tkz@cnt@lg}{-1}%
\setcounter{tkz@cnt@lgnext}{\thetkz@cnt@line}%
\path (intersection cs:
  first line  = {(FR#2\thetkz@cnt@lg)--(FL#3\thetkz@cnt@lg)},%
  second line = {(N#4\thetkz@cnt@lg) --(N#4\thetkz@cnt@lgnext)}) coordinate(tgt);
\draw[fill,color=\cmdTAB@TA@color] (tgt) circle (1pt);
\node[\cmdTAB@TA@pos =1pt] at (tgt) {#5};
\path coordinate (\cmdTAB@TA@remember) at (tgt);
\draw[tan style] (tgt) -- ++(.75,0);
\draw[tan style] (tgt) -- ++(-.75,0);
\ifTAB@TA@draw \draw[from style] (N#41) to (tgt); \fi
}%
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
\newcommand*{\tkzTabTanFrom}[5][]{%
\tkztab@setkeys{TA}{#1}%
   \setcounter{tkz@cnt@lg}{\thetkz@cnt@line}%
   \addtocounter{tkz@cnt@lg}{-1}%
   \setcounter{tkz@cnt@lgnext}{\thetkz@cnt@line}%
   \path (intersection cs:
      first line  = {(FR#2\thetkz@cnt@lg)--(FR#3\thetkz@cnt@lg)},%
      second line = {(#4) --([yshift=-0.5 cm]#4)}) coordinate(tgt);
    \draw[fill,color=\cmdTAB@TA@color] (tgt) circle (1pt);
    \node[\cmdTAB@TA@pos = 1pt] at (tgt) {#5};
    \path coordinate (\cmdTAB@TA@remember) at (tgt);
    \draw[arrow style] (tgt) -- ++(.75,0);
    \draw[arrow style] (tgt) -- ++(-.75,0);
    \ifTAB@TA@draw \draw[from style] (#4) -- (tgt); \fi
}%
%<--------------------------------------------------------------------------->
%<---------------------- dérivée droite gauche ------------------------------>
\newcommand*{\tkzTabSlope}[1]{%
\foreach \x/\y/\z in {#1}{%
  \node[left  = 3pt] at (Z\x 1) {\scriptsize $\y$};
  \node[right = 3pt] at (Z\x 1) {\scriptsize $\z$};
  }%
}
%<---------------------------------------------------------------------------> 
%<--------------------------------------------------------------------------->
\newcommand*{\tkzTab}[5][]{%
  \tkzTabInit[#1]{#2}{#3}%
  \tkzTabLine{#4}%
  \tkzTabVar{#5}%
}
%<-------------------------------The End ------------------------------------>
\endinput