%  tkz-linknodes.sty  2009-02-28  alain matthes  
%  encoding : utf8 
%  linknodesdoc.tex
%  Created by Alain Matthes  on 2008-02-28.
%  Copyright (C) 2009 Alain Matthes  
%
% This file may be distributed and/or modified
%
% 1. under the LaTeX Project Public License , either version 1.3
% of this license or (at your option) any later version and/or
% 2. under the GNU Public License.
%
% See the file doc/generic/pgf/licenses/LICENSE for more details.%
% See http://www.latex-project.org/lppl.txt for details.
%
%
% ``tkz-linknodes.sty'' is the english doc of tkz-linknodes
%
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                               %
% tkz-linknodes.sty         encodage : utf8                     %
%                                                               %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                               %
% Créé par Alain Matthes le 12-10-2007.                         %
% d'après une idée et avec l'aide de  Philippe Ivaldi           %
%                                                               %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%% 22/08/2008
%% Objet :  création de flèches pour montrer des opérateurs
%% aritmétiques dans des environnements comme "aligned"
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{tkz-linknodes}[2018/09/03 v1.1d tkz-linknodes]
\ifx\e@alloc\@undefined
  \RequirePackage{etex}
\fi
\RequirePackage{ifthen}
\RequirePackage{xkeyval}[2005/11/25]
\RequirePackage{tikz}
\RequirePackage{amsmath}
\usetikzlibrary{arrows}
%<--------------------------------------------------------------------------->
%                       Style
%<--------------------------------------------------------------------------->
\tikzset{ArrowStyle/.style={>=latex,->,text=black}} 
\tikzset{LabelStyle/.style={pos=0.25,right}}
\tikzset{ReverseStyle/.style={pos=0.25,left}} 
\tikzset{NodeStyle/.style={}}
\tikzset{NodeHStyle/.style={}} 
%<--------------------------------------------------------------------------->
\define@cmdkey [TK] {SUM} {margin}{}
\define@cmdkey [TK] {SUM} {dy}{}
\presetkeys    [TK] {SUM} {margin  = 2 cm,%
                           dy     = 1.5pt}{}%
%<--------------------------------------------------------------------------->
\newcommand*{\SetUpOpEnv}[1][]{%
  \setkeys    [TK] {SUM} {#1}%
  \presetkeys [TK] {node}  {margin = \cmdTK@SUM@margin,%
                            dy    = \cmdTK@SUM@dy}{}%
}%
%<--------------------------------------------------------------------------->
%                              Init 
%<--------------------------------------------------------------------------->
\newdimen\p@intx
\newdimen\p@inty
\newdimen\p@intCx
\newdimen\p@intCy
\newdimen\p@intNx
\newdimen\p@intNy
%<--------------------------------------------------------------------------->
\newcounter{C@NumTab}\setcounter{C@NumTab}{0}
\newcounter{C@NumGroup}\setcounter{C@NumGroup}{0}
\newcounter{C@NextNode}\setcounter{C@NextNode}{0}
\newcounter{NumC@Node}\setcounter{NumC@Node}{0}
\newcounter{NumC@Stop}\setcounter{NumC@Stop}{0}
\newcounter{C@CurrentStop}\setcounter{C@CurrentStop}{0}
\newcounter{C@CurrentNode}\setcounter{C@CurrentNode}{0}
\newcounter{C@CurrentGroup}\setcounter{C@CurrentGroup}{0}
%<--------------------------------------------------------------------------->
\newboolean{B@FirstLink}\setboolean{B@FirstLink}{true}
\newboolean{B@NewGroup}\setboolean{B@NewGroup}{false}
\newboolean{B@DeltaBegin}\setboolean{B@DeltaBegin}{false}
\newboolean{B@DeltaEnd}\setboolean{B@DeltaEnd}{false} 
%<--------------------------------------------------------------------------->
\newcommand*{\@SetTab}{%
  \ifnum \value{C@NumTab}>25\relax%
     \setcounter{C@NumTab}{1}%
  \else%
     \stepcounter{C@NumTab}%
  \fi%
    \setcounter{C@NumGroup}{0}%
 \newcommand*{\PrefixCurrentTab}{\alph{C@NumTab}}
  \setboolean{B@FirstLink}{true}
  \setboolean{B@NewGroup}{false}
  \setcounter{C@NumGroup}{0}
  \setcounter{C@CurrentGroup}{0}
  \setcounter{NumC@Node}{0}
  \setcounter{NumC@Stop}{0}
  \setcounter{C@NextNode}{0}
  \setcounter{C@CurrentStop}{0}
  \setcounter{C@CurrentNode}{0}
}%
%<--------------------------------------------------------------------------->
\newcommand*{\@CreateCurrentStop}[1]{%
 \@ifundefined{c@C@Stop\@alph{#1}}{%
 \newcounter{C@Stop\@alph{#1}}\stepcounter{NumC@Stop}}{}%
 \setcounter{C@Stop\@alph{#1}}{0}%
}
%<--------------------------------------------------------------------------->
\newcommand*{\@CreateCurrentNode}[1]{%
 \@ifundefined{c@C@Node\@alph{#1}}{%
 \newcounter{C@Node\@alph{#1}}\stepcounter{NumC@Node}}{}%
 \setcounter{C@Node\@alph{#1}}{0}%
}%
%<--------------------------------------------------------------------------->
\newcommand*{\@CreateNewGroup}{%
  \stepcounter{C@NumGroup}%
  \@CreateCurrentStop{\theC@NumGroup}%
  \@CreateCurrentNode{\theC@NumGroup}%
}%
%<--------------------------------------------------------------------------->
\newcommand*{\AddNode}[1][1]{%
  \setcounter{C@CurrentGroup}{#1}%
   \ifnum \value{C@NumGroup}<#1\relax%
       \@ifundefined{c@C@Node\@alph{#1}}{%
          \@CreateNewGroup}{%
          \stepcounter{C@NumGroup}%
          \setcounter{C@Node\@alph{#1}}{0}%
          \setcounter{C@Stop\@alph{#1}}{0}%
          }%
   \fi%
   \stepcounter{C@Node\@alph{#1}}%
   \stepcounter{C@Stop\@alph{#1}}%
   \begin{tikzpicture}[remember picture]%
      \node[NodeStyle]%
     (\PrefixCurrentTab-\theC@CurrentGroup-\@nameuse{theC@Node\@alph{#1}}){};%
   \end{tikzpicture}%
\ignorespaces
}%
\newcommand*{\AddRevNode}{% 
   \begin{tikzpicture}[remember picture]%
      \node[NodeStyle]%
     (reverse@node){};%
   \end{tikzpicture}%
\ignorespaces } 
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
%<--------------------------------------------------------------------------->
\newcommand*{\@NewNextNode}{%
  \setcounter{C@NextNode}{\value{C@CurrentNode}}%
  \stepcounter{C@NextNode}}%
%<--------------------------------------------------------------------------->
\newcommand*{\@UseNewGroup}[1]{%  dépend du niveau
  \setcounter{C@CurrentNode}{1}%
  \setcounter{C@CurrentStop}{\value{C@Stop\@alph{#1}}}}%
%<--------------------------------------------------------------------------->
\define@cmdkey  [TK] {node} {Bshift}{}% 
\define@cmdkey  [TK] {node} {Mshift}{}% 
\define@cmdkey  [TK] {node} {Eshift}{}%     
\define@cmdkey  [TK] {node} {margin}{}%
\define@cmdkey  [TK] {node} {dy}{}%
\presetkeys     [TK] {node} {dy      = 1.5pt,%
                             margin  = 2 cm,
                             Bshift  = -6cm,
                             Mshift  = -7cm,
                             Eshift  = -6cm}{}%
%<--------------------------------------------------------------------------->
\newcommand{\LinkNodes}[2][]{%
\setkeys[TK]{node}{#1}%
\ifthenelse{\boolean{B@FirstLink}}{\setcounter{C@CurrentGroup}{1}%
\setboolean{B@NewGroup}{false}%
\@UseNewGroup{\theC@CurrentGroup}\@NewNextNode%
\setboolean{B@DeltaBegin}{false}}{%
\ifthenelse{\boolean{B@NewGroup}}{%
\setboolean{B@DeltaBegin}{false}}{\setboolean{B@DeltaBegin}{true}}}%
\def\TGCN{\PrefixCurrentTab-\theC@CurrentGroup-\theC@CurrentNode}%
\def\TGNN{\PrefixCurrentTab-\theC@CurrentGroup-\theC@NextNode}%
%
%
\begin{tikzpicture}[remember picture,overlay]%
\pgfextractx{\pgf@x}{\pgfpointanchor{\TGCN}{center}}%
\pgfextracty{\pgf@y}{\pgfpointanchor{\TGCN}{center}}%
\p@intCx\pgf@x\p@intCy\pgf@y%
\pgfextractx{\pgf@x}{\pgfpointanchor{\TGNN}{center}}%
\pgfextracty{\pgf@y}{\pgfpointanchor{\TGNN}{center}}%
\p@intNx\pgf@x\p@intNy\pgf@y
\p@inty\p@intCy\p@intx\linewidth
\advance\p@intx by-\cmdTK@node@margin
\ifthenelse{\boolean{B@FirstLink}}{%
\setboolean{B@FirstLink}{false}%
\xdef\lastp@intx{\p@intCx}%
\global\let\lastp@intx\lastp@intx}{}%
\ifthenelse{\boolean{B@NewGroup}}{\xdef\lastp@inty{\p@intCy}%
\global\let\lastp@inty\lastp@inty}{\xdef\lastp@inty{\p@inty}%
\global\let\lastp@inty\lastp@inty}%
\ifthenelse{\value{C@NextNode}=\value{C@CurrentStop}}{%
\setboolean{B@DeltaEnd}{false}}{\setboolean{B@DeltaEnd}{true}}%
\ifthenelse{\boolean{B@DeltaBegin}}{\advance\p@inty by -\cmdTK@node@dy}{}%
%
\path[coordinate] (\lastp@intx,\lastp@inty)   coordinate(Begin)
                  (\p@intx,\lastp@inty)       coordinate(Inter);%
\ifthenelse{\boolean{B@DeltaEnd}}{%
\path[coordinate] ([yshift=\cmdTK@node@dy]\TGNN.center)coordinate(End);}%
{\path[coordinate](\TGNN.center)        coordinate(End);}%
%
\draw[ArrowStyle] (Begin)--(Inter)|-(End) node[LabelStyle]{#2};%
\ifTK@NL@reverse
\draw[ArrowStyle] ([xshift=\cmdTK@node@Bshift]Begin)--([xshift=\cmdTK@node@Mshift]Inter)|-([xshift=\cmdTK@node@Eshift]End) node[LabelStyle,ReverseStyle]{#2};%
\fi   
%
\xdef\lastp@inty{\p@intCy}\global\let\lastp@inty\lastp@inty%
\ifthenelse{\value{C@NextNode}=\value{C@CurrentStop}}{%
\ifthenelse{\value{C@CurrentGroup}<\value{C@NumGroup}}{%
\global\B@NewGrouptrue\stepcounter{C@CurrentGroup}%
\@UseNewGroup{\theC@CurrentGroup}\@NewNextNode}{}}{\stepcounter{C@CurrentNode}%
\@NewNextNode}%
\end{tikzpicture}%
\setboolean{B@FirstLink}{false}%
\ignorespaces
}%
%<--------------------------------------------------------------------------->
\newcommand*{\UpGroup}[1][1]{%
  \stepcounter{C@CurrentGroup}%
  \setboolean{B@NewGroup}{true}%
}%
%<--------------------------------------------------------------------------->
\newcommand*{\UpNode}[1][1]{%
  \addtocounter{C@CurrentNode}{#1}
}
%<--------------------------------------------------------------------------->
\define@cmdkey [TK] {NL} {margin}{}
\define@cmdkey [TK] {NL} {dy}{}
\define@boolkey[TK] {NL} {reverse}[true]{} 
\presetkeys    [TK] {NL} {margin  = 2 cm,reverse=false, 
                          dy     = 1.5pt}{}
%<--------------------------------------------------------------------------->
\newenvironment{NodesList}[1][]{%
  \setkeys    [TK] {NL} {#1} 
  \presetkeys [TK] {node}  {margin = \cmdTK@NL@margin,
                            dy    = \cmdTK@NL@dy}{}%
  \@SetTab
  \@CreateNewGroup
  \stepcounter{C@CurrentGroup}%
  }{}%
%<--------------------------------------------------------------------------->
\newcommand\AddHNode[2]{}
\def\AddHNode{\pgfutil@ifnextchar[{\Add@HNode}{\Add@HNode[]}} 
\def\Add@HNode[#1](#2)#3{%  #2 = name of the node #3 content of node
\begin{tikzpicture}[remember picture,baseline=(#2.base)]
   \node[outer sep = 2pt,
         inner sep = 0pt,
         NodeHStyle,
         #1](#2){#3};
\end{tikzpicture}
}

\newcommand\LinkHNode[4]{% 
\begin{tikzpicture}[remember picture,overlay] 
  \draw[<->] (#1) -- ++(0,#4) -| (#2)
  node[fill=white,near start] {\small #3}; 
\end{tikzpicture}%
}    %<--------------------------------------------------------------------------->
\endinput