%%
%% This is file `forest.sty',
%% generated with the docstrip utility.
%%
%% The original source files were:
%%
%% forest.dtx 
%% 
%% `forest' is a `pgf/tikz'-based package for drawing (linguistic) trees.
%%
%% Copyright (c) 2015 Saso Zivanovic
%%                    (Sa\v{s}o \v{Z}ivanovi\'{c})
%% saso.zivanovic@guest.arnes.si
%%
%% This work 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.
%%
%% This work has the LPPL maintenance status `maintained'.
%%
%% The Current Maintainer of this work is Saso Zivanovic.
%%
%% This work consists of the files forest.dtx and forest.ins
%% and the derived file forest.sty.
%%
\ProvidesPackage{forest}[2015/07/10 v1.08 Drawing (linguistic) trees]

\RequirePackage{tikz}[2010/10/13]
\usetikzlibrary{shapes}
\usetikzlibrary{fit}
\usetikzlibrary{calc}
\usepgflibrary{intersections}

\RequirePackage{pgfopts}
\RequirePackage{etoolbox}[2010/08/21]
\RequirePackage{elocalloc}% for \locbox
\RequirePackage{environ}

 %\usepackage[trace]{trace-pgfkeys}
\pgfkeys{/forest/.is family}
\def\forestset#1{\pgfqkeys{/forest}{#1}}
\long\def\forest@original@pgfkeysdefnargs@#1#2#3#4{%
  \ifcase#2\relax
  \pgfkeyssetvalue{#1/.@args}{}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4##5}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4##5##6}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4##5##6}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4##5##6##7}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4##5##6##7##8}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4##5##6##7##8##9}%
  \else
  \pgfkeys@error{\string\pgfkeysdefnargs: expected  <= 9 arguments, got #2}%
  \fi
  \pgfkeysgetvalue{#1/.@args}\pgfkeys@tempargs
  \def\pgfkeys@temp{\expandafter#4\csname pgfk@#1/.@@body\endcsname}%
  \expandafter\pgfkeys@temp\pgfkeys@tempargs{#3}%
  % eliminate the \pgfeov at the end such that TeX gobbles spaces
  % by using
  % \pgfkeysdef{#1}{\pgfkeysvalueof{#1/.@@body}##1}
  % (with expansion of '#1'):
  \edef\pgfkeys@tempargs{\noexpand\pgfkeysvalueof{#1/.@@body}}%
  \def\pgfkeys@temp{\pgfkeysdef{#1}}%
  \expandafter\pgfkeys@temp\expandafter{\pgfkeys@tempargs##1}%
  \pgfkeyssetvalue{#1/.@body}{#3}%
}

\long\def\forest@patched@pgfkeysdefnargs@#1#2#3#4{%
  \ifcase#2\relax
  \pgfkeyssetvalue{#1/.@args}{}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4##5}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4##5##6}%
  %%%%% removed:
  %%%%% \or
  %%%%% \pgfkeyssetvalue{#1/.@args}{##1##2##3##4##5##6}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4##5##6##7}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4##5##6##7##8}%
  \or
  \pgfkeyssetvalue{#1/.@args}{##1##2##3##4##5##6##7##8##9}%
  \else
  \pgfkeys@error{\string\pgfkeysdefnargs: expected  <= 9 arguments, got #2}%
  \fi
  \pgfkeysgetvalue{#1/.@args}\pgfkeys@tempargs
  \def\pgfkeys@temp{\expandafter#4\csname pgfk@#1/.@@body\endcsname}%
  \expandafter\pgfkeys@temp\pgfkeys@tempargs{#3}%
  % eliminate the \pgfeov at the end such that TeX gobbles spaces
  % by using
  % \pgfkeysdef{#1}{\pgfkeysvalueof{#1/.@@body}##1}
  % (with expansion of '#1'):
  \edef\pgfkeys@tempargs{\noexpand\pgfkeysvalueof{#1/.@@body}}%
  \def\pgfkeys@temp{\pgfkeysdef{#1}}%
  \expandafter\pgfkeys@temp\expandafter{\pgfkeys@tempargs##1}%
  \pgfkeyssetvalue{#1/.@body}{#3}%
}
\ifx\pgfkeysdefnargs@\forest@original@pgfkeysdefnargs@
  \let\pgfkeysdefnargs@\forest@patched@pgfkeysdefnargs@
\fi
\def\forest@original@pgfpointintersectionoflines#1#2#3#4{%
  {
    %
    % Compute orthogonal vector to #1--#2
    %
    \pgf@process{#2}%
    \pgf@xa=\pgf@x%
    \pgf@ya=\pgf@y%
    \pgf@process{#1}%
    \advance\pgf@xa by-\pgf@x%
    \advance\pgf@ya by-\pgf@y%
    \pgf@ya=-\pgf@ya%
    % Normalise a bit
    \c@pgf@counta=\pgf@xa%
    \ifnum\c@pgf@counta<0\relax%
      \c@pgf@counta=-\c@pgf@counta\relax%
    \fi%
    \c@pgf@countb=\pgf@ya%
    \ifnum\c@pgf@countb<0\relax%
      \c@pgf@countb=-\c@pgf@countb\relax%
    \fi%
    \advance\c@pgf@counta by\c@pgf@countb\relax%
    \divide\c@pgf@counta by 65536\relax%
    \ifnum\c@pgf@counta>0\relax%
      \divide\pgf@xa by\c@pgf@counta\relax%
      \divide\pgf@ya by\c@pgf@counta\relax%
    \fi%
    %
    % Compute projection
    %
    \pgf@xc=\pgf@sys@tonumber{\pgf@ya}\pgf@x%
    \advance\pgf@xc by\pgf@sys@tonumber{\pgf@xa}\pgf@y%
    %
    % The orthogonal vector is (\pgf@ya,\pgf@xa)
    %
    %
    % Compute orthogonal vector to #3--#4
    %
    \pgf@process{#4}%
    \pgf@xb=\pgf@x%
    \pgf@yb=\pgf@y%
    \pgf@process{#3}%
    \advance\pgf@xb by-\pgf@x%
    \advance\pgf@yb by-\pgf@y%
    \pgf@yb=-\pgf@yb%
    % Normalise a bit
    \c@pgf@counta=\pgf@xb%
    \ifnum\c@pgf@counta<0\relax%
      \c@pgf@counta=-\c@pgf@counta\relax%
    \fi%
    \c@pgf@countb=\pgf@yb%
    \ifnum\c@pgf@countb<0\relax%
      \c@pgf@countb=-\c@pgf@countb\relax%
    \fi%
    \advance\c@pgf@counta by\c@pgf@countb\relax%
    \divide\c@pgf@counta by 65536\relax%
    \ifnum\c@pgf@counta>0\relax%
      \divide\pgf@xb by\c@pgf@counta\relax%
      \divide\pgf@yb by\c@pgf@counta\relax%
    \fi%
    %
    % Compute projection
    %
    \pgf@yc=\pgf@sys@tonumber{\pgf@yb}\pgf@x%
    \advance\pgf@yc by\pgf@sys@tonumber{\pgf@xb}\pgf@y%
    %
    % The orthogonal vector is (\pgf@yb,\pgf@xb)
    %
    % Setup transformation matrx (this is just to use the matrix
    % inversion)
    %
    \pgfsettransform{{\pgf@sys@tonumber\pgf@ya}{\pgf@sys@tonumber\pgf@yb}{\pgf@sys@tonumber\pgf@xa}{\pgf@sys@tonumber\pgf@xb}{0pt}{0pt}}%
    \pgftransforminvert%
    \pgf@process{\pgfpointtransformed{\pgfpoint{\pgf@xc}{\pgf@yc}}}%
  }%
}
\def\forest@patched@pgfpointintersectionoflines#1#2#3#4{%
  {% added the percent sign in this line
    %
    % Compute orthogonal vector to #1--#2
    %
    \pgf@process{#2}%
    \pgf@xa=\pgf@x%
    \pgf@ya=\pgf@y%
    \pgf@process{#1}%
    \advance\pgf@xa by-\pgf@x%
    \advance\pgf@ya by-\pgf@y%
    \pgf@ya=-\pgf@ya%
    % Normalise a bit
    \c@pgf@counta=\pgf@xa%
    \ifnum\c@pgf@counta<0\relax%
      \c@pgf@counta=-\c@pgf@counta\relax%
    \fi%
    \c@pgf@countb=\pgf@ya%
    \ifnum\c@pgf@countb<0\relax%
      \c@pgf@countb=-\c@pgf@countb\relax%
    \fi%
    \advance\c@pgf@counta by\c@pgf@countb\relax%
    \divide\c@pgf@counta by 65536\relax%
    \ifnum\c@pgf@counta>0\relax%
      \divide\pgf@xa by\c@pgf@counta\relax%
      \divide\pgf@ya by\c@pgf@counta\relax%
    \fi%
    %
    % Compute projection
    %
    \pgf@xc=\pgf@sys@tonumber{\pgf@ya}\pgf@x%
    \advance\pgf@xc by\pgf@sys@tonumber{\pgf@xa}\pgf@y%
    %
    % The orthogonal vector is (\pgf@ya,\pgf@xa)
    %
    %
    % Compute orthogonal vector to #3--#4
    %
    \pgf@process{#4}%
    \pgf@xb=\pgf@x%
    \pgf@yb=\pgf@y%
    \pgf@process{#3}%
    \advance\pgf@xb by-\pgf@x%
    \advance\pgf@yb by-\pgf@y%
    \pgf@yb=-\pgf@yb%
    % Normalise a bit
    \c@pgf@counta=\pgf@xb%
    \ifnum\c@pgf@counta<0\relax%
      \c@pgf@counta=-\c@pgf@counta\relax%
    \fi%
    \c@pgf@countb=\pgf@yb%
    \ifnum\c@pgf@countb<0\relax%
      \c@pgf@countb=-\c@pgf@countb\relax%
    \fi%
    \advance\c@pgf@counta by\c@pgf@countb\relax%
    \divide\c@pgf@counta by 65536\relax%
    \ifnum\c@pgf@counta>0\relax%
      \divide\pgf@xb by\c@pgf@counta\relax%
      \divide\pgf@yb by\c@pgf@counta\relax%
    \fi%
    %
    % Compute projection
    %
    \pgf@yc=\pgf@sys@tonumber{\pgf@yb}\pgf@x%
    \advance\pgf@yc by\pgf@sys@tonumber{\pgf@xb}\pgf@y%
    %
    % The orthogonal vector is (\pgf@yb,\pgf@xb)
    %
    % Setup transformation matrx (this is just to use the matrix
    % inversion)
    %
    \pgfsettransform{{\pgf@sys@tonumber\pgf@ya}{\pgf@sys@tonumber\pgf@yb}{\pgf@sys@tonumber\pgf@xa}{\pgf@sys@tonumber\pgf@xb}{0pt}{0pt}}%
    \pgftransforminvert%
    \pgf@process{\pgfpointtransformed{\pgfpoint{\pgf@xc}{\pgf@yc}}}%
  }%
}

\ifx\pgfpointintersectionoflines\forest@original@pgfpointintersectionoflines
  \let\pgfpointintersectionoflines\forest@patched@pgfpointintersectionoflines
\fi

 % hah: hacking forest --- it depends on some details of PGF implementation
\def\forest@pgf@notyetpositioned{not yet positionedPGFINTERNAL}%
\expandafter\ifstrequal\expandafter{\pgfversion}{2.10}{%
  \def\forest@pgf@notyetpositioned{not yet positioned@}%
}{}
\long\def\@escapeif#1#2\fi{\fi#1}
\long\def\@escapeifif#1#2\fi#3\fi{\fi\fi#1}
\def\newloop#1{%
  \count@=\escapechar
  \escapechar=-1
  \expandafter\newloop@parse@loopname\string#1\newloop@end
  \escapechar=\count@
}%
{\lccode`7=`l \lccode`8=`o \lccode`9=`p
  \lowercase{\gdef\newloop@parse@loopname#17889#2\newloop@end{%
      \edef\newloop@marshal{%
        \noexpand\csdef{#1loop#2}####1\expandafter\noexpand\csname #1repeat#2\endcsname{%
          \noexpand\csdef{#1iterate#2}{####1\relax\noexpand\expandafter\expandafter\noexpand\csname#1iterate#2\endcsname\noexpand\fi}%
          \expandafter\noexpand\csname#1iterate#2\endcsname
          \let\expandafter\noexpand\csname#1iterate#2\endcsname\relax
        }%
      }%
      \newloop@marshal
    }%
  }%
}%
\newloop\forest@loop
\newloop\forest@loopa
\newloop\forest@loopb
\newloop\forest@loopc
\newloop\forest@sort@loop
\newloop\forest@sort@loopA
\newdimen\forest@temp@dimen
\newcount\forest@temp@count
\newcount\forest@n
\newif\ifforest@temp
\newcount\forest@temp@global@count
\def\apptotoks#1#2{\expandafter#1\expandafter{\the#1#2}}
\long\def\lapptotoks#1#2{\expandafter#1\expandafter{\the#1#2}}
\def\eapptotoks#1#2{\edef\pot@temp{#2}\expandafter\expandafter\expandafter#1\expandafter\expandafter\expandafter{\expandafter\the\expandafter#1\pot@temp}}
\def\pretotoks#1#2{\toks@={#2}\expandafter\expandafter\expandafter#1\expandafter\expandafter\expandafter{\expandafter\the\expandafter\toks@\the#1}}
\def\epretotoks#1#2{\edef\pot@temp{#2}\expandafter\expandafter\expandafter#1\expandafter\expandafter\expandafter{\expandafter\pot@temp\the#1}}
\def\gapptotoks#1#2{\expandafter\global\expandafter#1\expandafter{\the#1#2}}
\def\xapptotoks#1#2{\edef\pot@temp{#2}\expandafter\expandafter\expandafter\global\expandafter\expandafter\expandafter#1\expandafter\expandafter\expandafter{\expandafter\the\expandafter#1\pot@temp}}
\def\gpretotoks#1#2{\toks@={#2}\expandafter\expandafter\expandafter\global\expandafter\expandafter\expandafter#1\expandafter\expandafter\expandafter{\expandafter\the\expandafter\toks@\the#1}}
\def\xpretotoks#1#2{\edef\pot@temp{#2}\expandafter\expandafter\expandafter\global\expandafter\expandafter\expandafter#1\expandafter\expandafter\expandafter{\expandafter\pot@temp\the#1}}
\def\expandnumberarg#1#2{\expandafter#1\expandafter{\number#2}}
\def\expandtwonumberargs#1#2#3{%
  \expandafter\expandtwonumberargs@\expandafter#1\expandafter{\number#3}{#2}}
\def\expandtwonumberargs@#1#2#3{%
  \expandafter#1\expandafter{\number#3}{#2}}
\def\expandthreenumberargs#1#2#3#4{%
  \expandafter\expandthreenumberargs@\expandafter#1\expandafter{\number#4}{#2}{#3}}
\def\expandthreenumberargs@#1#2#3#4{%
  \expandafter\expandthreenumberargs@@\expandafter#1\expandafter{\number#4}{#2}{#3}}
\def\expandthreenumberargs@@#1#2#3#4{%
  \expandafter#1\expandafter{\number#4}{#2}{#3}}
\def\forest@convert@others@to@underscores#1#2{%
  \def\forest@cotu@result{}%
  \forest@cotu#1\forest@end
  \let#2\forest@cotu@result
}
\def\forest@cotu{%
  \futurelet\forest@cotu@nextchar\forest@cotu@checkforspace
}
\def\forest@cotu@checkforspace{%
  \expandafter\ifx\space\forest@cotu@nextchar
    \let\forest@cotu@next\forest@cotu@havespace
  \else
    \let\forest@cotu@next\forest@cotu@nospace
  \fi
  \forest@cotu@next
}
\def\forest@cotu@havespace#1{%
  \appto\forest@cotu@result{_}%
  \forest@cotu#1%
}
\def\forest@cotu@nospace{%
  \ifx\forest@cotu@nextchar\forest@end
    \@escapeif\@gobble
  \else
    \@escapeif\forest@cotu@nospaceB
  \fi
}
\def\forest@cotu@nospaceB{%
  \ifcat\forest@cotu@nextchar a%
    \let\forest@cotu@next\forest@cotu@have@alphanum
  \else
    \ifcat\forest@cotu@nextchar 0%
      \let\forest@cotu@next\forest@cotu@have@alphanum
    \else
      \let\forest@cotu@next\forest@cotu@haveother
    \fi
  \fi
  \forest@cotu@next
}
\def\forest@cotu@have@alphanum#1{%
  \appto\forest@cotu@result{#1}%
  \forest@cotu
}
\def\forest@cotu@haveother#1{%
  \appto\forest@cotu@result{_}%
  \forest@cotu
}
\def\forest@listedel#1#2{% #1 = list, #2 = item
  \edef\forest@marshal{\noexpand\forest@listdel\noexpand#1{#2}}%
  \forest@marshal
}
\def\forest@listcsdel#1#2{%
  \expandafter\forest@listdel\csname #1\endcsname{#2}%
}
\def\forest@listcsedel#1#2{%
  \expandafter\forest@listedel\csname #1\endcsname{#2}%
}
\edef\forest@restorelistsepcatcode{\noexpand\catcode`|\the\catcode`|\relax}%
\catcode`\|=3
\gdef\forest@listdel#1#2{%
  \def\forest@listedel@A##1|#2|##2\forest@END{%
    \forest@listedel@B##1|##2\forest@END%|
  }%
  \def\forest@listedel@B|##1\forest@END{%|
    \def#1{##1}%
  }%
  \expandafter\forest@listedel@A\expandafter|#1\forest@END%|
}
\forest@restorelistsepcatcode
\def\forest@strip@braces#1{%
  \forest@strip@braces@A#1\forest@strip@braces@preend\forest@strip@braces@end
}
\def\forest@strip@braces@A#1#2\forest@strip@braces@end{%
  #1\ifx\forest@strip@braces@preend#2\else\@escapeif{\forest@strip@braces@A#2\forest@strip@braces@end}\fi
}
\def\forest@sort#1#2#3#4#5{%
  \let\forest@sort@cmp#1\relax
  \let\forest@sort@let#2\relax
  \let\forest@sort@direction#3\relax
  \forest@@sort{#4}{#5}%
}
\def\forest@quicksort@minarraylength{10000}
\def\forest@@sort#1#2{%
  \ifnum#1<#2\relax\@escapeif{%
    \forest@sort@m=#2
    \advance\forest@sort@m -#1
    \ifnum\forest@sort@m>\forest@quicksort@minarraylength\relax\@escapeif{%
      \forest@quicksort{#1}{#2}%
    }\else\@escapeif{%
      \forest@insertionsort{#1}{#2}%
    }\fi
  }\fi
}
\newcount\forest@sort@m\newcount\forest@sort@k\newcount\forest@sort@p
\def\forest@sort@ascending{>}
\def\forest@sort@descending{<}
\def\forest@sort@cmp{%
  \PackageError{sort}{You must define forest@sort@cmp function before calling
    sort}{The macro must take two arguments, indices of the array
    elements to be compared, and return '=' if the elements are equal
    and '>'/'<' if the first is greater /less than the secong element.}%
}
\def\forest@sort@cmp@gt{\def\forest@sort@cmp@result{>}}
\def\forest@sort@cmp@lt{\def\forest@sort@cmp@result{<}}
\def\forest@sort@cmp@eq{\def\forest@sort@cmp@result{=}}
\def\forest@sort@let{%
  \PackageError{sort}{You must define forest@sort@let function before calling
    sort}{The macro must take two arguments, indices of the array:
    element 2 must be copied onto element 1.}%
}
\def\forest@quicksort#1#2{%
  \forest@sort@m=#2
  \advance\forest@sort@m -#1
  \ifodd\forest@sort@m\relax\advance\forest@sort@m1 \fi
  \divide\forest@sort@m 2
  \advance\forest@sort@m #1
  \forest@sort@cmp{#1}{#2}%
  \if\forest@sort@cmp@result=%
    \forest@sort@p=#1
  \else
    \if\forest@sort@cmp@result>%
      \forest@sort@p=#1\relax
    \else
      \forest@sort@p=#2\relax
    \fi
    \forest@sort@cmp{\the\forest@sort@p}{\the\forest@sort@m}%
    \if\forest@sort@cmp@result<%
    \else
      \forest@sort@p=\the\forest@sort@m
    \fi
  \fi
  \forest@sort@xch{#1}{\the\forest@sort@p}%
  \forest@sort@m=#1\relax
  \forest@sort@k=#1\relax
  \forest@sort@loop
  \ifnum\forest@sort@k<#2\relax
    \advance\forest@sort@k 1
    \forest@sort@cmp{#1}{\the\forest@sort@k}%
    \ifx\forest@sort@direction\forest@sort@cmp@result
      \advance\forest@sort@m 1
      \forest@sort@xch{\the\forest@sort@m}{\the\forest@sort@k}
    \fi
  \forest@sort@repeat
  \forest@sort@xch{#1}{\the\forest@sort@m}%
  \forest@sort@k=\forest@sort@m
  \advance\forest@sort@k -1
  \advance\forest@sort@m 1
  \edef\forest@sort@marshal{%
    \noexpand\forest@@sort{#1}{\the\forest@sort@k}%
    \noexpand\forest@@sort{\the\forest@sort@m}{#2}%
  }%
  \forest@sort@marshal
}
\def\forest@sort@xch#1#2{%
  \forest@sort@let{aux}{#1}%
  \forest@sort@let{#1}{#2}%
  \forest@sort@let{#2}{aux}%
}
\def\forest@insertionsort#1#2{%
  \forest@sort@m=#1
  \edef\forest@insertionsort@low{#1}%
  \forest@sort@loopA
  \ifnum\forest@sort@m<#2
    \advance\forest@sort@m 1
    \forest@insertionsort@Qbody
  \forest@sort@repeatA
}
\newif\ifforest@insertionsort@loop
\def\forest@insertionsort@Qbody{%
  \forest@sort@let{aux}{\the\forest@sort@m}%
  \forest@sort@k\forest@sort@m
  \advance\forest@sort@k -1
  \forest@insertionsort@looptrue
  \forest@sort@loop
  \ifforest@insertionsort@loop
    \forest@insertionsort@qbody
  \forest@sort@repeat
  \advance\forest@sort@k 1
  \forest@sort@let{\the\forest@sort@k}{aux}%
}
\def\forest@insertionsort@qbody{%
  \forest@sort@cmp{\the\forest@sort@k}{aux}%
  \ifx\forest@sort@direction\forest@sort@cmp@result\relax
    \forest@sort@p=\forest@sort@k
    \advance\forest@sort@p 1
    \forest@sort@let{\the\forest@sort@p}{\the\forest@sort@k}%
    \advance\forest@sort@k -1
    \ifnum\forest@sort@k<\forest@insertionsort@low\relax
      \forest@insertionsort@loopfalse
    \fi
  \else
    \forest@insertionsort@loopfalse
  \fi
}
\def\forest@sort@cmpnumcs#1#2{%
  \ifnum\csname#1\endcsname>\csname#2\endcsname\relax
   \forest@sort@cmp@gt
 \else
   \ifnum\csname#1\endcsname<\csname#2\endcsname\relax
     \forest@sort@cmp@lt
   \else
     \forest@sort@cmp@eq
   \fi
 \fi
}
\def\forest@sort@cmpdimcs#1#2{%
  \ifdim\csname#1\endcsname>\csname#2\endcsname\relax
   \forest@sort@cmp@gt
 \else
   \ifdim\csname#1\endcsname<\csname#2\endcsname\relax
     \forest@sort@cmp@lt
   \else
     \forest@sort@cmp@eq
   \fi
 \fi
}
\def\forest@sort@cmptwodimcs#1#2#3#4{%
  \ifdim\csname#1\endcsname>\csname#3\endcsname\relax
   \forest@sort@cmp@gt
 \else
   \ifdim\csname#1\endcsname<\csname#3\endcsname\relax
     \forest@sort@cmp@lt
   \else
     \ifdim\csname#2\endcsname>\csname#4\endcsname\relax
       \forest@sort@cmp@gt
     \else
       \ifdim\csname#2\endcsname<\csname#4\endcsname\relax
         \forest@sort@cmp@lt
       \else
         \forest@sort@cmp@eq
       \fi
     \fi
   \fi
 \fi
}
\def\forest@reversearray#1#2#3{%
  \let\forest@sort@let#1%
  \c@pgf@countc=#2
  \c@pgf@countd=#3
  \advance\c@pgf@countd -1
  \forest@loopa
  \ifnum\c@pgf@countc<\c@pgf@countd\relax
    \forest@sort@xch{\the\c@pgf@countc}{\the\c@pgf@countd}%
    \advance\c@pgf@countc 1
    \advance\c@pgf@countd -1
  \forest@repeata
}
\def\bracketset#1{\pgfqkeys{/bracket}{#1}}%
\bracketset{%
  /bracket/.is family,
  /handlers/.let/.style={\pgfkeyscurrentpath/.code={\let#1##1}},
  opening bracket/.let=\bracket@openingBracket,
  closing bracket/.let=\bracket@closingBracket,
  action character/.let=\bracket@actionCharacter,
  opening bracket=[,
  closing bracket=],
  action character,
  new node/.code n args={3}{% #1=preamble, #2=node spec, #3=cs receiving the id
    \forest@node@new#3%
    \forestOset{#3}{given options}{content'=#2}%
    \ifblank{#1}{}{%
      \forestOpreto{#3}{given options}{#1,}%
    }%
  },
  set afterthought/.code 2 args={% #1=node id, #2=afterthought
    \ifblank{#2}{}{\forestOappto{#1}{given options}{,afterthought={#2}}}%
  }
}
\newtoks\bracket@content
\newtoks\bracket@afterthought
\def\bracketParse#1#2={%
  \def\bracketEndParsingHook{#1}%
  \def\bracket@saveRootNodeTo{#2}%
  \bracket@content={}%
  \bracket@afterthought={}%
  \let\bracket@state\bracket@state@starting
  \bracket@ignorespacestrue
  \bracket@expandtokensfalse
  \def\bracket@parentNode{0}%
  \def\bracket@rootNode{0}%
  \def\bracket@newNode{0}%
  \def\bracket@afterthoughtNode{0}%
  \bracket@Parse
}
\def\bracketResume{\bracket@Parse}%
\def\bracket@Parse{%
  \futurelet\bracket@next@token\bracket@Parse@checkForSpace
}
\def\bracket@Parse@checkForSpace{%
  \expandafter\ifx\space\bracket@next@token\@escapeif{%
    \ifbracket@ignorespaces\else
      \bracket@haveSpacetrue
    \fi
    \expandafter\bracket@Parse\romannumeral-`0%
  }\else\@escapeif{%
    \bracket@Parse@maybeexpand
  }\fi
}
\newif\ifbracket@expandtokens
\def\bracket@Parse@maybeexpand{%
  \ifbracket@expandtokens\@escapeif{%
    \expandafter\bracket@Parse@peekAhead\romannumeral-`0%
  }\else\@escapeif{%
    \bracket@Parse@peekAhead
  }\fi
}
\def\bracket@Parse@peekAhead{%
  \futurelet\bracket@next@token\bracket@Parse@checkForTeXGroup
}
\def\bracket@Parse@checkForTeXGroup{%
  \ifx\bracket@next@token\bgroup%
    \@escapeif{\bracket@Parse@appendGroup}%
  \else
    \@escapeif{\bracket@Parse@token}%
  \fi
}
\long\def\bracket@Parse@token#1{%
  \ifx#1\bracket@openingBracket
    \@escapeif{\bracket@Parse@openingBracketFound}%
  \else
    \@escapeif{%
      \ifx#1\bracket@closingBracket
        \@escapeif{\bracket@Parse@closingBracketFound}%
      \else
        \@escapeif{%
          \ifx#1\bracket@actionCharacter
            \@escapeif{\futurelet\bracket@next@token\bracket@Parse@actionCharacterFound}%
          \else
            \@escapeif{\bracket@Parse@appendToken#1}%
          \fi
        }%
      \fi
    }%
  \fi
}
\newif\ifbracket@haveSpace
\newif\ifbracket@ignorespaces
\def\bracket@Parse@appendSpace{%
  \ifbracket@haveSpace
    \ifcase\bracket@state\relax
      \eapptotoks\bracket@content\space
    \or
      \eapptotoks\bracket@afterthought\space
    \or
      \eapptotoks\bracket@afterthought\space
    \fi
    \bracket@haveSpacefalse
  \fi
}
\long\def\bracket@Parse@appendToken#1{%
  \bracket@Parse@appendSpace
  \ifcase\bracket@state\relax
    \lapptotoks\bracket@content{#1}%
  \or
    \lapptotoks\bracket@afterthought{#1}%
  \or
    \lapptotoks\bracket@afterthought{#1}%
  \fi
  \bracket@ignorespacesfalse
  \bracket@Parse
}
\def\bracket@Parse@appendGroup#1{%
  \bracket@Parse@appendSpace
  \ifcase\bracket@state\relax
    \apptotoks\bracket@content{{#1}}%
  \or
    \apptotoks\bracket@afterthought{{#1}}%
  \or
    \apptotoks\bracket@afterthought{{#1}}%
  \fi
  \bracket@ignorespacesfalse
  \bracket@Parse
}
\def\bracket@state@inContent{0}
\def\bracket@state@inAfterthought{1}
\def\bracket@state@starting{2}
\def\bracket@Parse@openingBracketFound{%
  \bracket@haveSpacefalse
  \ifcase\bracket@state\relax% in content [ ... [
    \@escapeif{%
      \bracket@createNode
      \ifnum\bracket@parentNode=0 \else
        \forest@node@Append{\bracket@parentNode}{\bracket@newNode}%
      \fi
      \let\bracket@parentNode\bracket@newNode
      \bracket@Parse
    }%
  \or % in afterthought   ] ... [
    \@escapeif{%
      \bracket@addAfterthought
      \let\bracket@state\bracket@state@inContent
      \bracket@Parse
    }%
  \else % starting
    \@escapeif{%
      \let\bracket@state\bracket@state@inContent
      \bracket@Parse
    }%
  \fi
}
\def\bracket@Parse@closingBracketFound{%
  \bracket@haveSpacefalse
  \ifcase\bracket@state\relax % in content [ ... ]
    \@escapeif{%
      \bracket@createNode
      \ifnum\bracket@parentNode=0
        \@escapeif\bracketEndParsingHook
      \else
        \@escapeif{%
          \let\bracket@afterthoughtNode\bracket@newNode
          \let\bracket@state\bracket@state@inAfterthought
          \forest@node@Append{\bracket@parentNode}{\bracket@newNode}%
          \bracket@Parse
        }%
      \fi
    }%
  \or % in afterthought ] ... ]
    \@escapeif{%
      \bracket@addAfterthought
      \let\bracket@afterthoughtNode\bracket@parentNode
      \edef\bracket@parentNode{\forestOve{\bracket@parentNode}{@parent}}%
      \ifnum\bracket@parentNode=0
        \expandafter\bracketEndParsingHook
      \else
        \expandafter\bracket@Parse
      \fi
    }%
  \else % starting
    \PackageError{forest}{You're attempting to start a bracket representation
      with a closing bracket}{}%
  \fi
}
\def\bracket@Parse@actionCharacterFound{%
  \ifx\bracket@next@token\bgroup\@escapeif{%
    \bracket@Parse@action@expandgroup
  }\else\@escapeif{%
    \bracket@Parse@action@notagroup
  }\fi
}
\def\bracket@Parse@action@expandgroup#1{%
  \edef\bracket@Parse@action@expandgroup@macro{#1}%
  \expandafter\bracket@Parse\bracket@Parse@action@expandgroup@macro
}
\let\bracket@action@fullyexpandCharacter+
\let\bracket@action@dontexpandCharacter-
\let\bracket@action@executeCharacter!
\def\bracket@Parse@action@notagroup#1{%
  \ifx#1\bracket@action@fullyexpandCharacter\@escapeif{%
    \bracket@expandtokenstrue\bracket@Parse
  }\else\@escapeif{%
    \ifx#1\bracket@action@dontexpandCharacter\@escapeif{%
      \bracket@expandtokensfalse\bracket@Parse
    }\else\@escapeif{%
      \ifx#10\@escapeif{%
        \bracket@Parse@appendToken
      }\else\@escapeif{%
        \ifx#1\bracket@actionCharacter
        \else\@escapeif{%
          \expandafter\bracket@Parse#1%
        }\fi
      }\fi
    }\fi
  }\fi
}
\def\bracket@createNode{%
  \ifnum\bracket@rootNode=0
    % root node
    \bracketset{new node/.expanded=%
      {\the\bracket@afterthought}%
      {\the\bracket@content}%
      \noexpand\bracket@newNode
    }%
    \bracket@afterthought={}%
    \let\bracket@rootNode\bracket@newNode
    \expandafter\let\bracket@saveRootNodeTo\bracket@newNode
  \else
    % other nodes
    \bracketset{new node/.expanded=%
      {}%
      {\the\bracket@content}%
      \noexpand\bracket@newNode
    }%
  \fi
  \bracket@content={}%
}
\def\bracket@addAfterthought{%
  \bracketset{%
    set afterthought/.expanded={\bracket@afterthoughtNode}{\the\bracket@afterthought}%
  }%
  \bracket@afterthought={}%
}
 % full expansion expands precisely to the value
\def\forestov#1{\expandafter\expandafter\expandafter\expandonce
  \pgfkeysvalueof{/forest/@node/\forest@cn/#1}}
 % full expansion expands all the way
\def\forestove#1{\pgfkeysvalueof{/forest/@node/\forest@cn/#1}}
 % full expansion expands to the cs holding the value
\def\forestom#1{\expandafter\expandonce\expandafter{\pgfkeysvalueof{/forest/@node/\forest@cn/#1}}}\def\forestoget#1#2{\pgfkeysgetvalue{/forest/@node/\forest@cn/#1}{#2}}
\def\forestoget#1#2{\pgfkeysgetvalue{/forest/@node/\forest@cn/#1}{#2}}
\def\forestolet#1#2{\pgfkeyslet{/forest/@node/\forest@cn/#1}{#2}}
\def\forestoset#1#2{\pgfkeyssetvalue{/forest/@node/\forest@cn/#1}{#2}}
\def\forestoeset#1#2{%
  \edef\forest@option@temp{%
    \noexpand\pgfkeyssetvalue{/forest/@node/\forest@cn/#1}{#2}%
  }\forest@option@temp
}
\def\forestoappto#1#2{%
  \forestoeset{#1}{\forestov{#1}\unexpanded{#2}}%
}
\def\forestoifdefined#1#2#3{%
  \pgfkeysifdefined{/forest/@node/\forest@cn/#1}{#2}{#3}%
}
\let\forestoption\forestov
\let\foresteoption\forestove
\def\forestOv#1#2{\expandafter\expandafter\expandafter\expandonce
  \pgfkeysvalueof{/forest/@node/#1/#2}}
\def\forestOve#1#2{\pgfkeysvalueof{/forest/@node/#1/#2}}
 % full expansion expands to the cs holding the value
\def\forestOm#1#2{\expandafter\expandonce\expandafter{\pgfkeysvalueof{/forest/@node/#1/#2}}}
\def\forestOget#1#2#3{\pgfkeysgetvalue{/forest/@node/#1/#2}{#3}}
\def\forestOget#1#2#3{\pgfkeysgetvalue{/forest/@node/#1/#2}{#3}}
\def\forestOlet#1#2#3{\pgfkeyslet{/forest/@node/#1/#2}{#3}}
\def\forestOset#1#2#3{\pgfkeyssetvalue{/forest/@node/#1/#2}{#3}}
\def\forestOeset#1#2#3{%
  \edef\forestoption@temp{%
    \noexpand\pgfkeyssetvalue{/forest/@node/#1/#2}{#3}%
  }\forestoption@temp
}
\def\forestOappto#1#2#3{%
  \forestOeset{#1}{#2}{\forestOv{#1}{#2}\unexpanded{#3}}%
}
\def\forestOeappto#1#2#3{%
  \forestOeset{#1}{#2}{\forestOv{#1}{#2}#3}%
}
\def\forestOpreto#1#2#3{%
  \forestOeset{#1}{#2}{\unexpanded{#3}\forestOv{#1}{#2}}%
}
\def\forestOepreto#1#2#3{%
  \forestOeset{#1}{#2}{#3\forestOv{#1}{#2}}%
}
\def\forestOifdefined#1#2#3#4{%
  \pgfkeysifdefined{/forest/@node/#1/#2}{#3}{#4}%
}
\def\forestOletO#1#2#3#4{% option #2 of node #1 <-- option #4 of node #3
  \forestOget{#3}{#4}\forestoption@temp
  \forestOlet{#1}{#2}\forestoption@temp}
\def\forestOleto#1#2#3{%
  \forestoget{#3}\forestoption@temp
  \forestOlet{#1}{#2}\forestoption@temp}
\def\forestoletO#1#2#3{%
  \forestOget{#2}{#3}\forestoption@temp
  \forestolet{#1}\forestoption@temp}
\def\forestoleto#1#2{%
  \forestoget{#2}\forestoption@temp
  \forestolet{#1}\forestoption@temp}
\def\forest@node@init{%
  \forestoset{@parent}{0}%
  \forestoset{@previous}{0}% previous sibling
  \forestoset{@next}{0}%     next sibling
  \forestoset{@first}{0}%  primary child
  \forestoset{@last}{0}%   last child
}
\def\forestoinit#1{%
  \pgfkeysgetvalue{/forest/#1}\forestoinit@temp
  \forestolet{#1}\forestoinit@temp
}
\newcount\forest@node@maxid
\def\forest@node@new#1{% #1 = cs receiving the new node id
  \advance\forest@node@maxid1
  \forest@fornode{\the\forest@node@maxid}{%
    \forest@node@init
    \forest@node@setname{node@\forest@cn}%
    \forest@initializefromstandardnode
    \edef#1{\forest@cn}%
  }%
}
\let\forestoinit@orig\forestoinit
\def\forest@node@copy#1#2{% #1=from node id, cs receiving the new node id
  \advance\forest@node@maxid1
  \def\forestoinit##1{\forestoletO{##1}{#1}{##1}}%
  \forest@fornode{\the\forest@node@maxid}{%
    \forest@node@init
    \forest@node@setname{\forest@copy@name@template{\forestOve{#1}{name}}}%
    \edef#2{\forest@cn}%
  }%
  \let\forestoinit\forestoinit@orig
}
\forestset{
  copy name template/.code={\def\forest@copy@name@template##1{#1}},
  copy name template/.default={node@\the\forest@node@maxid},
  copy name template
}
\def\forest@tree@copy#1#2{% #1=from node id, #2=cs receiving the new node id
  \forest@node@copy{#1}\forest@node@copy@temp@id
  \forest@fornode{\forest@node@copy@temp@id}{%
    \expandafter\forest@tree@copy@\expandafter{\forest@node@copy@temp@id}{#1}%
    \edef#2{\forest@cn}%
  }%
}
\def\forest@tree@copy@#1#2{%
  \forest@node@Foreachchild{#2}{%
    \expandafter\forest@tree@copy\expandafter{\forest@cn}\forest@node@copy@temp@childid
    \forest@node@Append{#1}{\forest@node@copy@temp@childid}%
  }%
}
\def\forest@cn{0}
\forest@node@init
\def\forest@node@append#1{\expandtwonumberargs\forest@node@Append{\forest@cn}{#1}}
\def\forest@node@prepend#1{\expandtwonumberargs\forest@node@Insertafter{\forest@cn}{#1}{0}}
\def\forest@node@insertafter#1#2{%
  \expandthreenumberargs\forest@node@Insertafter{\forest@cn}{#1}{#2}}
\def\forest@node@insertbefore#1#2{%
  \expandthreenumberargs\forest@node@Insertafter{\forest@cn}{#1}{\forestOve{#2}{@previous}}%
}
\def\forest@node@remove{\expandnumberarg\forest@node@Remove{\forest@cn}}
\def\forest@node@Append#1#2{\expandtwonumberargs\forest@node@Append@{#1}{#2}}
\def\forest@node@Prepend#1#2{\expandtwonumberargs\forest@node@Insertafter{#1}{#2}{0}}
\def\forest@node@Insertafter#1#2#3{% #2 is inserted after #3
  \expandthreenumberargs\forest@node@Insertafter@{#1}{#2}{#3}%
}
\def\forest@node@Insertbefore#1#2#3{% #2 is inserted before #3
  \expandthreenumberargs\forest@node@Insertafter{#1}{#2}{\forestOve{#3}{@previous}}%
}
\def\forest@node@Remove#1{\expandnumberarg\forest@node@Remove@{#1}}
\def\forest@node@Insertafter@#1#2#3{%
  \ifnum\forestOve{#2}{@parent}=0
  \else
    \PackageError{forest}{Insertafter(#1,#2,#3):
      node #2 already has a parent (\forestOve{#2}{@parent})}{}%
  \fi
  \ifnum#3=0
  \else
    \ifnum#1=\forestOve{#3}{@parent}
    \else
      \PackageError{forest}{Insertafter(#1,#2,#3): node #1 is not the parent of the
            intended sibling #3 (with parent \forestOve{#3}{@parent})}{}%
    \fi
  \fi
  \forestOeset{#2}{@parent}{#1}%
  \forestOeset{#2}{@previous}{#3}%
  \ifnum#3=0
    \forestOget{#1}{@first}\forest@node@temp
    \forestOeset{#1}{@first}{#2}%
  \else
    \forestOget{#3}{@next}\forest@node@temp
    \forestOeset{#3}{@next}{#2}%
  \fi
  \forestOeset{#2}{@next}{\forest@node@temp}%
  \ifnum\forest@node@temp=0
    \forestOeset{#1}{@last}{#2}%
  \else
    \forestOeset{\forest@node@temp}{@previous}{#2}%
  \fi
}
\def\forest@node@Append@#1#2{%
  \ifnum\forestOve{#2}{@parent}=0
  \else
    \PackageError{forest}{Append(#1,#2):
      node #2 already has a parent (\forestOve{#2}{@parent})}{}%
  \fi
  \forestOeset{#2}{@parent}{#1}%
  \forestOget{#1}{@last}\forest@node@temp
  \forestOeset{#1}{@last}{#2}%
  \forestOeset{#2}{@previous}{\forest@node@temp}%
  \ifnum\forest@node@temp=0
    \forestOeset{#1}{@first}{#2}%
  \else
    \forestOeset{\forest@node@temp}{@next}{#2}%
  \fi
}
\def\forest@node@Remove@#1{%
  \forestOget{#1}{@parent}\forest@node@temp@parent
  \ifnum\forest@node@temp@parent=0
  \else
    \forestOget{#1}{@previous}\forest@node@temp@previous
    \forestOget{#1}{@next}\forest@node@temp@next
    \ifnum\forest@node@temp@previous=0
      \forestOeset{\forest@node@temp@parent}{@first}{\forest@node@temp@next}%
    \else
      \forestOeset{\forest@node@temp@previous}{@next}{\forest@node@temp@next}%
    \fi
    \ifnum\forest@node@temp@next=0
      \forestOeset{\forest@node@temp@parent}{@last}{\forest@node@temp@previous}%
    \else
      \forestOeset{\forest@node@temp@next}{@previous}{\forest@node@temp@previous}%
    \fi
    \forestOset{#1}{@parent}{0}%
    \forestOset{#1}{@previous}{0}%
    \forestOset{#1}{@next}{0}%
  \fi
}
\def\forest@forthis#1{%
  \edef\forest@node@marshal{\unexpanded{#1}\def\noexpand\forest@cn}%
  \expandafter\forest@node@marshal\expandafter{\forest@cn}%
}
\def\forest@fornode#1#2{%
  \edef\forest@node@marshal{\edef\noexpand\forest@cn{#1}\unexpanded{#2}\def\noexpand\forest@cn}%
  \expandafter\forest@node@marshal\expandafter{\forest@cn}%
}
\def\forest@fornode@ifexists#1#2{%
  \edef\forest@node@temp{#1}%
  \ifnum\forest@node@temp=0
  \else
    \@escapeif{\expandnumberarg\forest@fornode{\forest@node@temp}{#2}}%
  \fi
}
\def\forest@node@foreachchild#1{\forest@node@Foreachchild{\forest@cn}{#1}}
\def\forest@node@Foreachchild#1#2{%
  \forest@fornode{\forestOve{#1}{@first}}{\forest@node@@forselfandfollowingsiblings{#2}}%
}
\def\forest@node@@forselfandfollowingsiblings#1{%
  \ifnum\forest@cn=0
  \else
    \forest@forthis{#1}%
    \@escapeif{%
      \edef\forest@cn{\forestove{@next}}%
      \forest@node@@forselfandfollowingsiblings{#1}%
    }%
  \fi
}
\def\forest@node@foreach#1{\forest@node@Foreach{\forest@cn}{#1}}
\def\forest@node@Foreach#1#2{%
  \forest@fornode{#1}{\forest@node@@foreach{#2}}%
}
\def\forest@node@@foreach#1{%
  \forest@forthis{#1}%
  \ifnum\forestove{@first}=0
  \else\@escapeif{%
      \edef\forest@cn{\forestove{@first}}%
      \forest@node@@forselfandfollowingsiblings{\forest@node@@foreach{#1}}%
    }%
  \fi
}
\def\forest@node@foreachdescendant#1{\forest@node@Foreachdescendant{\forest@cn}{#1}}
\def\forest@node@Foreachdescendant#1#2{%
  \forest@node@Foreachchild{#1}{%
    \forest@node@foreach{#2}%
  }%
}
\def\forest@node@Compute@numeric@ts@info@#1{%
  \forest@node@Foreach{#1}{\forest@node@@compute@numeric@ts@info}%
  \ifnum\forestOve{#1}{@parent}=0
  \else
    \fornode{#1}{\forest@node@@compute@numeric@ts@info@nbar}%
  \fi
  \forest@node@Foreachdescendant{#1}{\forest@node@@compute@numeric@ts@info@nbar}%
}
\def\forest@node@@compute@numeric@ts@info{%
  \forestoset{n children}{0}%
  %
  \edef\forest@node@temp{\forestove{@previous}}%
  \ifnum\forest@node@temp=0
    \forestoset{n}{1}%
  \else
    \forestoeset{n}{\number\numexpr\forestOve{\forest@node@temp}{n}+1}%
  \fi
  %
  \edef\forest@node@temp{\forestove{@parent}}%
  \ifnum\forest@node@temp=0
    \forestoset{n}{0}%
    \forestoset{n'}{0}%
    \forestoset{level}{0}%
  \else
    \forestOeset{\forest@node@temp}{n children}{%
      \number\numexpr\forestOve{\forest@node@temp}{n children}+1%
    }%
    \forestoeset{level}{%
      \number\numexpr\forestOve{\forest@node@temp}{level}+1%
    }%
  \fi
}
\def\forest@node@@compute@numeric@ts@info@nbar{%
  \forestoeset{n'}{\number\numexpr\forestOve{\forestove{@parent}}{n children}-\forestove{n}+1}%
}
\def\forest@node@compute@numeric@ts@info#1{%
  \expandnumberarg\forest@node@Compute@numeric@ts@info@{\forest@cn}%
}
\def\forest@node@Compute@numeric@ts@info#1{%
  \expandnumberarg\forest@node@Compute@numeric@ts@info@{#1}%
}
\def\forest@node@rootid{%
  \expandnumberarg\forest@node@Rootid{\forest@cn}%
}
\def\forest@node@Rootid#1{% #1=node
  \ifnum\forestOve{#1}{@parent}=0
    #1%
  \else
    \@escapeif{\expandnumberarg\forest@node@Rootid{\forestOve{#1}{@parent}}}%
  \fi
}
\def\forest@node@nthchildid#1{% #1=n
  \ifnum#1<1
    0%
  \else
    \expandnumberarg\forest@node@nthchildid@{\number\forestove{@first}}{#1}%
  \fi
}
\def\forest@node@nthchildid@#1#2{%
  \ifnum#1=0
    0%
  \else
    \ifnum#2>1
      \@escapeifif{\expandtwonumberargs
        \forest@node@nthchildid@{\forestOve{#1}{@next}}{\numexpr#2-1}}%
    \else
      #1%
    \fi
  \fi
}
\def\forest@node@nbarthchildid#1{% #1=n
  \expandnumberarg\forest@node@nbarthchildid@{\number\forestove{@last}}{#1}%
}
\def\forest@node@nbarthchildid@#1#2{%
  \ifnum#1=0
    0%
  \else
    \ifnum#2>1
      \@escapeifif{\expandtwonumberargs
        \forest@node@nbarthchildid@{\forestOve{#1}{@previous}}{\numexpr#2-1}}%
    \else
      #1%
    \fi
  \fi
}
\def\forest@node@nornbarthchildid#1{%
  \ifnum#1>0
    \forest@node@nthchildid{#1}%
  \else
    \ifnum#1<0
      \forest@node@nbarthchildid{-#1}%
    \else
      \forest@node@nornbarthchildid@error
    \fi
  \fi
}
\def\forest@node@nornbarthchildid@error{%
  \PackageError{forest}{In \string\forest@node@nornbarthchildid, n should !=0}{}%
}
\def\forest@node@previousleafid{%
  \expandnumberarg\forest@node@Previousleafid{\forest@cn}%
}
\def\forest@node@Previousleafid#1{%
  \ifnum\forestOve{#1}{@previous}=0
    \@escapeif{\expandnumberarg\forest@node@previousleafid@Goup{#1}}%
  \else
    \expandnumberarg\forest@node@previousleafid@Godown{\forestOve{#1}{@previous}}%
  \fi
}
\def\forest@node@previousleafid@Goup#1{%
  \ifnum\forestOve{#1}{@parent}=0
    \PackageError{forest}{get previous leaf: this is the first leaf}{}%
  \else
    \@escapeif{\expandnumberarg\forest@node@Previousleafid{\forestOve{#1}{@parent}}}%
  \fi
}
\def\forest@node@previousleafid@Godown#1{%
  \ifnum\forestOve{#1}{@last}=0
    #1%
  \else
    \@escapeif{\expandnumberarg\forest@node@previousleafid@Godown{\forestOve{#1}{@last}}}%
  \fi
}
\def\forest@node@nextleafid{%
  \expandnumberarg\forest@node@Nextleafid{\forest@cn}%
}
\def\forest@node@Nextleafid#1{%
  \ifnum\forestOve{#1}{@next}=0
    \@escapeif{\expandnumberarg\forest@node@nextleafid@Goup{#1}}%
  \else
    \expandnumberarg\forest@node@nextleafid@Godown{\forestOve{#1}{@next}}%
  \fi
}
\def\forest@node@nextleafid@Goup#1{%
  \ifnum\forestOve{#1}{@parent}=0
    \PackageError{forest}{get next leaf: this is the last leaf}{}%
  \else
    \@escapeif{\expandnumberarg\forest@node@Nextleafid{\forestOve{#1}{@parent}}}%
  \fi
}
\def\forest@node@nextleafid@Godown#1{%
  \ifnum\forestOve{#1}{@first}=0
    #1%
  \else
    \@escapeif{\expandnumberarg\forest@node@nextleafid@Godown{\forestOve{#1}{@first}}}%
  \fi
}
\def\forest@node@linearnextid{%
  \ifnum\forestove{@first}=0
    \expandafter\forest@node@linearnextnotdescendantid
  \else
    \forestove{@first}%
  \fi
}
\def\forest@node@linearnextnotdescendantid{%
  \expandnumberarg\forest@node@Linearnextnotdescendantid{\forest@cn}%
}
\def\forest@node@Linearnextnotdescendantid#1{%
  \ifnum\forestOve{#1}{@next}=0
    \@escapeif{\expandnumberarg\forest@node@Linearnextnotdescendantid{\forestOve{#1}{@parent}}}%
  \else
    \forestOve{#1}{@next}%
  \fi
}
\def\forest@node@linearpreviousid{%
  \ifnum\forestove{@previous}=0
    \forestove{@parent}%
  \else
    \forest@node@previousleafid
  \fi
}
\def\forest@ifancestorof#1{% is the current node an ancestor of #1? Yes: #2, no: #3
  \expandnumberarg\forest@ifancestorof@{\forestOve{#1}{@parent}}%
}
\def\forest@ifancestorof@#1#2#3{%
  \ifnum#1=0
    \def\forest@ifancestorof@next{\@secondoftwo}%
  \else
    \ifnum\forest@cn=#1
      \def\forest@ifancestorof@next{\@firstoftwo}%
    \else
      \def\forest@ifancestorof@next{\expandnumberarg\forest@ifancestorof@{\forestOve{#1}{@parent}}}%
    \fi
  \fi
  \forest@ifancestorof@next{#2}{#3}%
}
\newloop\forest@nodewalk@loop
\forestset{
  @handlers@save@currentpath/.code={%
    \edef\pgfkeyscurrentkey{\pgfkeyscurrentpath}%
    \let\forest@currentkey\pgfkeyscurrentkey
    \pgfkeys@split@path
    \edef\forest@currentpath{\pgfkeyscurrentpath}%
    \let\forest@currentname\pgfkeyscurrentname
  },
  /handlers/.step 0 args/.style={
    /forest/@handlers@save@currentpath,
    \forest@currentkey/.code={#1\forestset{node walk/every step}},
    /forest/for \forest@currentname/.style/.expanded={%
      for={\forest@currentname}{####1}%
    }
  },
  /handlers/.step 1 arg/.style={%
    /forest/@handlers@save@currentpath,
    \forest@currentkey/.code={#1\forestset{node walk/every step}},
    /forest/for \forest@currentname/.style 2 args/.expanded={%
      for={\forest@currentname=####1}{####2}%
    }
  },
  node walk/.code={%
    \forestset{%
      node walk/before walk,%
      node walk/.cd,
      #1,%
      /forest/.cd,
      node walk/after walk
    }%
  },
  for/.code 2 args={%
    \forest@forthis{%
      \pgfkeysalso{%
        node walk/before walk/.style={},%
        node walk/every step/.style={},%
        node walk/after walk/.style={/forest,if id=0{}{#2}},%
        %node walk/after walk/.style={#2},%
        node walk={#1}%
      }%
    }%
  },
  node walk/.cd,
  before walk/.code={},
  every step/.code={},
  after walk/.code={},
  current/.step 0 args={},
  current/.default=1,
  next/.step 0 args={\edef\forest@cn{\forestove{@next}}},
  next/.default=1,
  previous/.step 0 args={\edef\forest@cn{\forestove{@previous}}},
  previous/.default=1,
  parent/.step 0 args={\edef\forest@cn{\forestove{@parent}}},
  parent/.default=1,
  first/.step 0 args={\edef\forest@cn{\forestove{@first}}},
  first/.default=1,
  last/.step 0 args={\edef\forest@cn{\forestove{@last}}},
  last/.default=1,
  n/.step 1 arg={%
    \def\forest@nodewalk@temp{#1}%
    \ifx\forest@nodewalk@temp\pgfkeysnovalue@text
      \edef\forest@cn{\forestove{@next}}%
    \else
      \edef\forest@cn{\forest@node@nthchildid{#1}}%
    \fi
  },
  n'/.step 1 arg={\edef\forest@cn{\forest@node@nbarthchildid{#1}}},
  sibling/.step 0 args={%
    \edef\forest@cn{%
      \ifnum\forestove{@previous}=0
        \forestove{@next}%
      \else
        \forestove{@previous}%
      \fi
    }%
  },
  previous leaf/.step 0 args={\edef\forest@cn{\forest@node@previousleafid}},
  previous leaf/.default=1,
  next leaf/.step 0 args={\edef\forest@cn{\forest@node@nextleafid}},
  next leaf/.default=1,
  linear next/.step 0 args={\edef\forest@cn{\forest@node@linearnextid}},
  linear previous/.step 0 args={\edef\forest@cn{\forest@node@linearpreviousid}},
  first leaf/.step 0 args={%
    \forest@nodewalk@loop
      \edef\forest@cn{\forestove{@first}}%
    \unless\ifnum\forestove{@first}=0
    \forest@nodewalk@repeat
  },
  last leaf/.step 0 args={%
    \forest@nodewalk@loop
      \edef\forest@cn{\forestove{@last}}%
    \unless\ifnum\forestove{@last}=0
    \forest@nodewalk@repeat
  },
  to tier/.step 1 arg={%
    \def\forest@nodewalk@giventier{#1}%
    \forest@nodewalk@loop
      \forestoget{tier}\forest@nodewalk@tier
    \unless\ifx\forest@nodewalk@tier\forest@nodewalk@giventier
      \forestoget{@parent}\forest@cn
    \forest@nodewalk@repeat
  },
  next on tier/.step 0 args={\forest@nodewalk@nextontier},
  next on tier/.default=1,
  previous on tier/.step 0 args={\forest@nodewalk@previousontier},
  previous on tier/.default=1,
  name/.step 1 arg={\edef\forest@cn{\forest@node@Nametoid{#1}}},
  root/.step 0 args={\edef\forest@cn{\forest@node@rootid}},
  root'/.step 0 args={\edef\forest@cn{\forest@root}},
  id/.step 1 arg={\edef\forest@cn{#1}},
  % maybe it's not wise to have short-step sequences and names potentially clashing
  % .unknown/.code={%
  %   \forest@node@Ifnamedefined{\pgfkeyscurrentname}%
  %     {\pgfkeysalso{name=\pgfkeyscurrentname}}%
  %     {\expandafter\forest@nodewalk@shortsteps\pgfkeyscurrentname\forest@nodewalk@endshortsteps}%
  % },
  .unknown/.code={%
    \expandafter\forest@nodewalk@shortsteps\pgfkeyscurrentname\forest@nodewalk@endshortsteps
  },
  node walk/.style={/forest/node walk={#1}},
  trip/.code={\forest@forthis{\pgfkeysalso{#1}}},
  group/.code={\forest@go{#1}\forestset{node walk/every step}},
  % repeat is taken later from /forest/repeat
  p/.style={previous=1},
  %n/.style={next=1}, % defined in "long" n
  u/.style={parent=1},
  s/.style={sibling},
  c/.style={current=1},
  r/.style={root},
  P/.style={previous leaf=1},
  N/.style={next leaf=1},
  F/.style={first leaf=1},
  L/.style={last leaf=1},
  >/.style={next on tier=1},
  </.style={previous on tier=1},
  1/.style={n=1},
  2/.style={n=2},
  3/.style={n=3},
  4/.style={n=4},
  5/.style={n=5},
  6/.style={n=6},
  7/.style={n=7},
  8/.style={n=8},
  9/.style={n=9},
  l/.style={last=1},
  %{...} is short for group={...}
}
\def\forest@nodewalk@nextontier{%
  \forestoget{tier}\forest@nodewalk@giventier
  \edef\forest@cn{\forest@node@linearnextnotdescendantid}%
  \forest@nodewalk@loop
    \forestoget{tier}\forest@nodewalk@tier
  \unless\ifx\forest@nodewalk@tier\forest@nodewalk@giventier
    \edef\forest@cn{\forest@node@linearnextid}%
  \forest@nodewalk@repeat
}
\def\forest@nodewalk@previousontier{%
  \forestoget{tier}\forest@nodewalk@giventier
  \forest@nodewalk@loop
    \edef\forest@cn{\forest@node@linearpreviousid}%
    \forestoget{tier}\forest@nodewalk@tier
  \unless\ifx\forest@nodewalk@tier\forest@nodewalk@giventier
  \forest@nodewalk@repeat
}
\def\forest@nodewalk@shortsteps{%
  \futurelet\forest@nodewalk@nexttoken\forest@nodewalk@shortsteps@
}
\def\forest@nodewalk@shortsteps@#1{%
  \ifx\forest@nodewalk@nexttoken\forest@nodewalk@endshortsteps
  \else
    \ifx\forest@nodewalk@nexttoken\bgroup
      \pgfkeysalso{group=#1}%
      \@escapeifif\forest@nodewalk@shortsteps
    \else
      \pgfkeysalso{#1}%
      \@escapeifif\forest@nodewalk@shortsteps
    \fi
  \fi
}
\def\forest@go#1{%
  {%
    \forestset{%
      node walk/before walk/.code={},%
      node walk/every step/.code={},%
      node walk/after walk/.code={},%
      node walk={#1}%
    }%
    \expandafter
  }%
  \expandafter\def\expandafter\forest@cn\expandafter{\forest@cn}%
}
\def\forest@declarehandler#1#2#3{%#1=handler for specific type,#2=option name,#3=default value
  \pgfkeyssetvalue{/forest/#2}{#3}%
  \appto\forest@node@init{\forestoinit{#2}}%
  \forest@convert@others@to@underscores{#2}\forest@pgfmathoptionname
  \edef\forest@marshal{%
    \noexpand#1{/forest/#2}{/forest}{#2}{\forest@pgfmathoptionname}%
  }\forest@marshal
}
\def\forest@def@with@pgfeov#1#2{% \pgfeov mustn't occur in the arg of the .code handler!!!
  \long\def#1##1\pgfeov{#2}%
}
\newtoks\forest@temp@toks
\def\forest@declaretoks@handler#1#2#3#4{%
  \forest@declaretoks@handler@A{#1}{#2}{#3}{#4}{}%
}
\def\forest@declarekeylist@handler#1#2#3#4{%
  \forest@declaretoks@handler@A{#1}{#2}{#3}{#4}{,}%
  \pgfkeysgetvalue{#1/.@cmd}\forest@temp
  \pgfkeyslet{#1'/.@cmd}\forest@temp
  \pgfkeyssetvalue{#1'/option@name}{#3}%
  \pgfkeysgetvalue{#1+/.@cmd}\forest@temp
  \pgfkeyslet{#1/.@cmd}\forest@temp
 }
\def\forest@declaretoks@handler@A#1#2#3#4#5{% #1=key,#2=path,#3=name,#4=pgfmathname,#5=infix
  \pgfkeysalso{%
    #1/.code={\forestOset{\forest@setter@node}{#3}{##1}},
    #1+/.code={\forestOappto{\forest@setter@node}{#3}{#5##1}},
    #1-/.code={\forestOpreto{\forest@setter@node}{#3}{##1#5}},
    #2/if #3/.code n args={3}{%
      \forestoget{#3}\forest@temp@option@value
      \edef\forest@temp@compared@value{\unexpanded{##1}}%
      \ifx\forest@temp@option@value\forest@temp@compared@value
        \pgfkeysalso{##2}%
      \else
        \pgfkeysalso{##3}%
      \fi
    },
    #2/if in #3/.code n args={3}{%
      \forestoget{#3}\forest@temp@option@value
      \edef\forest@temp@compared@value{\unexpanded{##1}}%
      \expandafter\expandafter\expandafter\pgfutil@in@\expandafter\expandafter\expandafter{\expandafter\forest@temp@compared@value\expandafter}\expandafter{\forest@temp@option@value}%
      \ifpgfutil@in@
        \pgfkeysalso{##2}%
      \else
        \pgfkeysalso{##3}%
      \fi
    },
    #2/where #3/.style n args={3}{for tree={#2/if #3={##1}{##2}{##3}}},
    #2/where in #3/.style n args={3}{for tree={#2/if in #3={##1}{##2}{##3}}}
  }%
  \pgfkeyssetvalue{#1/option@name}{#3}%
  \pgfkeyssetvalue{#1+/option@name}{#3}%
  \pgfmathdeclarefunction{#4}{1}{\forest@pgfmathhelper@attribute@toks{##1}{#3}}%
}
\def\forest@declareautowrappedtoks@handler#1#2#3#4{% #1=key,#2=path,#3=name,#4=pgfmathname,#5=infix
  \forest@declaretoks@handler{#1}{#2}{#3}{#4}%
  \pgfkeysgetvalue{#1/.@cmd}\forest@temp
  \pgfkeyslet{#1'/.@cmd}\forest@temp
  \pgfkeysalso{#1/.style={#1'/.wrap value={##1}}}%
  \pgfkeyssetvalue{#1'/option@name}{#3}%
  \pgfkeysgetvalue{#1+/.@cmd}\forest@temp
  \pgfkeyslet{#1+'/.@cmd}\forest@temp
  \pgfkeysalso{#1+/.style={#1+'/.wrap value={##1}}}%
  \pgfkeyssetvalue{#1+'/option@name}{#3}%
  \pgfkeysgetvalue{#1-/.@cmd}\forest@temp
  \pgfkeyslet{#1-'/.@cmd}\forest@temp
  \pgfkeysalso{#1-/.style={#1-'/.wrap value={##1}}}%
  \pgfkeyssetvalue{#1-'/option@name}{#3}%
}
\def\forest@declarereadonlydimen@handler#1#2#3#4{% #1=key,#2=path,#3=name,#4=pgfmathname
  \pgfkeysalso{%
    #2/if #3/.code n args={3}{%
      \forestoget{#3}\forest@temp@option@value
      \ifdim\forest@temp@option@value=##1\relax
        \pgfkeysalso{##2}%
      \else
        \pgfkeysalso{##3}%
      \fi
    },
    #2/where #3/.style n args={3}{for tree={#2/if #3={##1}{##2}{##3}}},
  }%
  \pgfmathdeclarefunction{#4}{1}{\forest@pgfmathhelper@attribute@dimen{##1}{#3}}%
}
\def\forest@declaredimen@handler#1#2#3#4{% #1=key,#2=path,#3=name,#4=pgfmathname
  \forest@declarereadonlydimen@handler{#1}{#2}{#3}{#4}%
  \pgfkeysalso{%
    #1/.code={%
      \pgfmathsetlengthmacro\forest@temp{##1}%
      \forestOlet{\forest@setter@node}{#3}\forest@temp
    },
    #1+/.code={%
      \pgfmathsetlengthmacro\forest@temp{##1}%
      \pgfutil@tempdima=\forestove{#3}
      \advance\pgfutil@tempdima\forest@temp\relax
      \forestOeset{\forest@setter@node}{#3}{\the\pgfutil@tempdima}%
    },
    #1-/.code={%
      \pgfmathsetlengthmacro\forest@temp{##1}%
      \pgfutil@tempdima=\forestove{#3}
      \advance\pgfutil@tempdima-\forest@temp\relax
      \forestOeset{\forest@setter@node}{#3}{\the\pgfutil@tempdima}%
    },
    #1*/.style={%
      #1={#4()*(##1)}%
    },
    #1:/.style={%
      #1={#4()/(##1)}%
    },
    #1'/.code={%
      \pgfutil@tempdima=##1\relax
      \forestOeset{\forest@setter@node}{#3}{\the\pgfutil@tempdima}%
    },
    #1'+/.code={%
      \pgfutil@tempdima=\forestove{#3}\relax
      \advance\pgfutil@tempdima##1\relax
      \forestOeset{\forest@setter@node}{#3}{\the\pgfutil@tempdima}%
    },
    #1'-/.code={%
      \pgfutil@tempdima=\forestove{#3}\relax
      \advance\pgfutil@tempdima-##1\relax
      \forestOeset{\forest@setter@node}{#3}{\the\pgfutil@tempdima}%
    },
    #1'*/.style={%
      \pgfutil@tempdima=\forestove{#3}\relax
      \multiply\pgfutil@tempdima##1\relax
      \forestOeset{\forest@setter@node}{#3}{\the\pgfutil@tempdima}%
    },
    #1':/.style={%
      \pgfutil@tempdima=\forestove{#3}\relax
      \divide\pgfutil@tempdima##1\relax
      \forestOeset{\forest@setter@node}{#3}{\the\pgfutil@tempdima}%
    },
  }%
  \pgfkeyssetvalue{#1/option@name}{#3}%
  \pgfkeyssetvalue{#1+/option@name}{#3}%
  \pgfkeyssetvalue{#1-/option@name}{#3}%
  \pgfkeyssetvalue{#1*/option@name}{#3}%
  \pgfkeyssetvalue{#1:/option@name}{#3}%
  \pgfkeyssetvalue{#1'/option@name}{#3}%
  \pgfkeyssetvalue{#1'+/option@name}{#3}%
  \pgfkeyssetvalue{#1'-/option@name}{#3}%
  \pgfkeyssetvalue{#1'*/option@name}{#3}%
  \pgfkeyssetvalue{#1':/option@name}{#3}%
}
\def\forest@declarereadonlycount@handler#1#2#3#4{% #1=key,#2=path,#3=name,#4=pgfmathname
  \pgfkeysalso{
    #2/if #3/.code n args={3}{%
      \forestoget{#3}\forest@temp@option@value
      \ifnum\forest@temp@option@value=##1\relax
        \pgfkeysalso{##2}%
      \else
        \pgfkeysalso{##3}%
      \fi
    },
    #2/where #3/.style n args={3}{for tree={#2/if #3={##1}{##2}{##3}}},
  }%
  \pgfmathdeclarefunction{#4}{1}{\forest@pgfmathhelper@attribute@count{##1}{#3}}%
}
\def\forest@declarecount@handler#1#2#3#4{% #1=key,#2=path,#3=name,#4=pgfmathname
  \forest@declarereadonlycount@handler{#1}{#2}{#3}{#4}%
  \pgfkeysalso{
    #1/.code={%
      \pgfmathtruncatemacro\forest@temp{##1}%
      \forestOlet{\forest@setter@node}{#3}\forest@temp
    },
    #1+/.code={%
      \pgfmathsetlengthmacro\forest@temp{##1}%
      \c@pgf@counta=\forestove{#3}\relax
      \advance\c@pgf@counta\forest@temp\relax
      \forestOeset{\forest@setter@node}{#3}{\the\c@pgf@counta}%
    },
    #1-/.code={%
      \pgfmathsetlengthmacro\forest@temp{##1}%
      \c@pgf@counta=\forestove{#3}\relax
      \advance\c@pgf@counta-\forest@temp\relax
      \forestOeset{\forest@setter@node}{#3}{\the\c@pgf@counta}%
    },
    #1*/.code={%
      \pgfmathsetlengthmacro\forest@temp{##1}%
      \c@pgf@counta=\forestove{#3}\relax
      \multiply\c@pgf@counta\forest@temp\relax
      \forestOeset{\forest@setter@node}{#3}{\the\c@pgf@counta}%
    },
    #1:/.code={%
      \pgfmathsetlengthmacro\forest@temp{##1}%
      \c@pgf@counta=\forestove{#3}\relax
      \divide\c@pgf@counta\forest@temp\relax
      \forestOeset{\forest@setter@node}{#3}{\the\c@pgf@counta}%
    },
    #1'/.code={%
      \c@pgf@counta=##1\relax
      \forestOeset{\forest@setter@node}{#3}{\the\c@pgf@counta}%
    },
    #1'+/.code={%
      \c@pgf@counta=\forestove{#3}\relax
      \advance\c@pgf@counta##1\relax
      \forestOeset{\forest@setter@node}{#3}{\the\c@pgf@counta}%
    },
    #1'-/.code={%
      \c@pgf@counta=\forestove{#3}\relax
      \advance\c@pgf@counta-##1\relax
      \forestOeset{\forest@setter@node}{#3}{\the\c@pgf@counta}%
    },
    #1'*/.style={%
      \c@pgf@counta=\forestove{#3}\relax
      \multiply\c@pgf@counta##1\relax
      \forestOeset{\forest@setter@node}{#3}{\the\c@pgf@counta}%
    },
    #1':/.style={%
      \c@pgf@counta=\forestove{#3}\relax
      \divide\c@pgf@counta##1\relax
      \forestOeset{\forest@setter@node}{#3}{\the\c@pgf@counta}%
    },
  }%
  \pgfkeyssetvalue{#1/option@name}{#3}%
  \pgfkeyssetvalue{#1+/option@name}{#3}%
  \pgfkeyssetvalue{#1-/option@name}{#3}%
  \pgfkeyssetvalue{#1*/option@name}{#3}%
  \pgfkeyssetvalue{#1:/option@name}{#3}%
  \pgfkeyssetvalue{#1'/option@name}{#3}%
  \pgfkeyssetvalue{#1'+/option@name}{#3}%
  \pgfkeyssetvalue{#1'-/option@name}{#3}%
  \pgfkeyssetvalue{#1'*/option@name}{#3}%
  \pgfkeyssetvalue{#1':/option@name}{#3}%
}
\def\forest@declareboolean@handler#1#2#3#4{% #1=key,#2=path,#3=name,#4=pgfmathname
  \pgfkeysalso{%
    #1/.code={%
      \ifstrequal{##1}{1}{%
        \forestOset{\forest@setter@node}{#3}{1}%
      }{%
        \pgfmathifthenelse{##1}{1}{0}%
        \forestOlet{\forest@setter@node}{#3}\pgfmathresult
      }%
    },
    #1/.default=1,
    #2/not #3/.code={\forestOset{\forest@setter@node}{#3}{0}},
    #2/if #3/.code 2 args={%
      \forestoget{#3}\forest@temp@option@value
      \ifnum\forest@temp@option@value=1
        \pgfkeysalso{##1}%
      \else
        \pgfkeysalso{##2}%
      \fi
    },
    #2/where #3/.style 2 args={for tree={#2/if #3={##1}{##2}}}
  }%
  \pgfkeyssetvalue{#1/option@name}{#3}%
  \pgfmathdeclarefunction{#4}{1}{\forest@pgfmathhelper@attribute@count{##1}{#3}}%
}
\pgfkeys{/forest,
  declare toks/.code 2 args={%
    \forest@declarehandler\forest@declaretoks@handler{#1}{#2}%
  },
  declare autowrapped toks/.code 2 args={%
    \forest@declarehandler\forest@declareautowrappedtoks@handler{#1}{#2}%
  },
  declare keylist/.code 2 args={%
    \forest@declarehandler\forest@declarekeylist@handler{#1}{#2}%
  },
  declare readonly dimen/.code={%
    \forest@declarehandler\forest@declarereadonlydimen@handler{#1}{}%
  },
  declare dimen/.code 2 args={%
    \forest@declarehandler\forest@declaredimen@handler{#1}{#2}%
  },
  declare readonly count/.code={%
    \forest@declarehandler\forest@declarereadonlycount@handler{#1}{}%
  },
  declare count/.code 2 args={%
    \forest@declarehandler\forest@declarecount@handler{#1}{#2}%
  },
  declare boolean/.code 2 args={%
    \forest@declarehandler\forest@declareboolean@handler{#1}{#2}%
  },
  /handlers/.pgfmath/.code={%
    \pgfmathparse{#1}%
    \pgfkeysalso{\pgfkeyscurrentpath/.expand once=\pgfmathresult}%
  },
  /handlers/.wrap value/.code={%
    \edef\forest@handlers@wrap@currentpath{\pgfkeyscurrentpath}%
    \pgfkeysgetvalue{\forest@handlers@wrap@currentpath/option@name}\forest@currentoptionname
    \expandafter\forestoget\expandafter{\forest@currentoptionname}\forest@option@value
    \forest@def@with@pgfeov\forest@wrap@code{#1}%
    \expandafter\edef\expandafter\forest@wrapped@value\expandafter{\expandafter\expandonce\expandafter{\expandafter\forest@wrap@code\forest@option@value\pgfeov}}%
    \pgfkeysalso{\forest@handlers@wrap@currentpath/.expand once=\forest@wrapped@value}%
  },
  /handlers/.wrap pgfmath arg/.code 2 args={%
    \pgfmathparse{#2}\let\forest@wrap@arg@i\pgfmathresult
    \edef\forest@wrap@args{{\expandonce\forest@wrap@arg@i}}%
    \def\forest@wrap@code##1{#1}%
    \expandafter\expandafter\expandafter\forest@temp@toks\expandafter\expandafter\expandafter{\expandafter\forest@wrap@code\forest@wrap@args}%
    \pgfkeysalso{\pgfkeyscurrentpath/.expand once=\the\forest@temp@toks}%
  },
  /handlers/.wrap 2 pgfmath args/.code n args={3}{%
    \pgfmathparse{#2}\let\forest@wrap@arg@i\pgfmathresult
    \pgfmathparse{#3}\let\forest@wrap@arg@ii\pgfmathresult
    \edef\forest@wrap@args{{\expandonce\forest@wrap@arg@i}{\expandonce\forest@wrap@arg@ii}}%
    \def\forest@wrap@code##1##2{#1}%
    \expandafter\expandafter\expandafter\def\expandafter\expandafter\expandafter\forest@wrapped\expandafter\expandafter\expandafter{\expandafter\forest@wrap@code\forest@wrap@args}%
    \pgfkeysalso{\pgfkeyscurrentpath/.expand once=\forest@wrapped}%
  },
  /handlers/.wrap 3 pgfmath args/.code n args={4}{%
    \forest@wrap@n@pgfmath@args{#2}{#3}{#4}{}{}{}{}{}{3}%
    \forest@wrap@n@pgfmath@do{#1}{3}},
  /handlers/.wrap 4 pgfmath args/.code n args={5}{%
    \forest@wrap@n@pgfmath@args{#2}{#3}{#4}{#5}{}{}{}{}{4}%
    \forest@wrap@n@pgfmath@do{#1}{4}},
  /handlers/.wrap 5 pgfmath args/.code n args={6}{%
    \forest@wrap@n@pgfmath@args{#2}{#3}{#4}{#5}{#6}{}{}{}{5}%
    \forest@wrap@n@pgfmath@do{#1}{5}},
  /handlers/.wrap 6 pgfmath args/.code n args={7}{%
    \forest@wrap@n@pgfmath@args{#2}{#3}{#4}{#5}{#6}{#7}{}{}{6}%
    \forest@wrap@n@pgfmath@do{#1}{6}},
  /handlers/.wrap 7 pgfmath args/.code n args={8}{%
    \forest@wrap@n@pgfmath@args{#2}{#3}{#4}{#5}{#6}{#7}{#8}{}{7}%
    \forest@wrap@n@pgfmath@do{#1}{7}},
  /handlers/.wrap 8 pgfmath args/.code n args={9}{%
    \forest@wrap@n@pgfmath@args{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}{8}%
    \forest@wrap@n@pgfmath@do{#1}{8}},
}
\def\forest@wrap@n@pgfmath@args#1#2#3#4#5#6#7#8#9{%
  \pgfmathparse{#1}\let\forest@wrap@arg@i\pgfmathresult
  \ifnum#9>1 \pgfmathparse{#2}\let\forest@wrap@arg@ii\pgfmathresult\fi
  \ifnum#9>2 \pgfmathparse{#3}\let\forest@wrap@arg@iii\pgfmathresult\fi
  \ifnum#9>3 \pgfmathparse{#4}\let\forest@wrap@arg@iv\pgfmathresult\fi
  \ifnum#9>4 \pgfmathparse{#5}\let\forest@wrap@arg@v\pgfmathresult\fi
  \ifnum#9>5 \pgfmathparse{#6}\let\forest@wrap@arg@vi\pgfmathresult\fi
  \ifnum#9>6 \pgfmathparse{#7}\let\forest@wrap@arg@vii\pgfmathresult\fi
  \ifnum#9>7 \pgfmathparse{#8}\let\forest@wrap@arg@viii\pgfmathresult\fi
  \edef\forest@wrap@args{%
    {\expandonce\forest@wrap@arg@i}
    \ifnum#9>1 {\expandonce\forest@wrap@arg@ii}\fi
    \ifnum#9>2 {\expandonce\forest@wrap@arg@iii}\fi
    \ifnum#9>3 {\expandonce\forest@wrap@arg@iv}\fi
    \ifnum#9>4 {\expandonce\forest@wrap@arg@v}\fi
    \ifnum#9>5 {\expandonce\forest@wrap@arg@vi}\fi
    \ifnum#9>6 {\expandonce\forest@wrap@arg@vii}\fi
    \ifnum#9>7 {\expandonce\forest@wrap@arg@viii}\fi
  }%
}
\def\forest@wrap@n@pgfmath@do#1#2{%
  \ifcase#2\relax
  \or\def\forest@wrap@code##1{#1}%
  \or\def\forest@wrap@code##1##2{#1}%
  \or\def\forest@wrap@code##1##2##3{#1}%
  \or\def\forest@wrap@code##1##2##3##4{#1}%
  \or\def\forest@wrap@code##1##2##3##4##5{#1}%
  \or\def\forest@wrap@code##1##2##3##4##5##6{#1}%
  \or\def\forest@wrap@code##1##2##3##4##5##6##7{#1}%
  \or\def\forest@wrap@code##1##2##3##4##5##6##7##8{#1}%
  \fi
  \expandafter\expandafter\expandafter\def\expandafter\expandafter\expandafter\forest@wrapped\expandafter\expandafter\expandafter{\expandafter\forest@wrap@code\forest@wrap@args}%
  \pgfkeysalso{\pgfkeyscurrentpath/.expand once=\forest@wrapped}%
}
\def\forest@node@setname#1{%
  \forestoeset{name}{#1}%
  \csedef{forest@id@of@#1}{\forest@cn}%
}
\def\forest@node@Nametoid#1{% #1 = name
  \csname forest@id@of@#1\endcsname
}
\def\forest@node@Ifnamedefined#1{% #1 = name, #2=true,#3=false
  \ifcsname forest@id@of@#1\endcsname
    \expandafter\@firstoftwo
  \else
    \expandafter\@secondoftwo
  \fi
}
\def\forest@node@setalias#1{%
  \csedef{forest@id@of@#1}{\forest@cn}%
}
\def\forest@node@Setalias#1#2{%
  \csedef{forest@id@of@#2}{#1}%
}
\forestset{
  TeX/.code={#1},
  TeX'/.code={\appto\forest@externalize@loadimages{#1}#1},
  TeX''/.code={\appto\forest@externalize@loadimages{#1}},
  declare toks={name}{},
  name/.code={% override the default setter
    \forest@node@setname{#1}%
  },
  alias/.code={\forest@node@setalias{#1}},
  begin draw/.code={\begin{tikzpicture}},
  end draw/.code={\end{tikzpicture}},
  begin forest/.code={},
  end forest/.code={},
  declare autowrapped toks={content}{},
  declare count={grow}{270},
  TeX={% a hack for grow-reversed connection, and compass-based grow specification
    \pgfkeysgetvalue{/forest/grow/.@cmd}\forest@temp
    \pgfkeyslet{/forest/grow@@/.@cmd}\forest@temp
  },
  grow/.style={grow@={#1},reversed=0},
  grow'/.style={grow@={#1},reversed=1},
  grow''/.style={grow@={#1}},
  grow@/.is choice,
  grow@/east/.style={/forest/grow@@=0},
  grow@/north east/.style={/forest/grow@@=45},
  grow@/north/.style={/forest/grow@@=90},
  grow@/north west/.style={/forest/grow@@=135},
  grow@/west/.style={/forest/grow@@=180},
  grow@/south west/.style={/forest/grow@@=225},
  grow@/south/.style={/forest/grow@@=270},
  grow@/south east/.style={/forest/grow@@=315},
  grow@/.unknown/.code={\let\forest@temp@grow\pgfkeyscurrentname
    \pgfkeysalso{/forest/grow@@/.expand once=\forest@temp@grow}},
  declare boolean={reversed}{0},
  declare toks={parent anchor}{},
  declare toks={child anchor}{},
  declare toks={anchor}{base},
  declare toks={calign}{midpoint},
  TeX={%
    \pgfkeysgetvalue{/forest/calign/.@cmd}\forest@temp
    \pgfkeyslet{/forest/calign'/.@cmd}\forest@temp
  },
  calign/.is choice,
  calign/child/.style={calign'=child},
  calign/first/.style={calign'=child,calign primary child=1},
  calign/last/.style={calign'=child,calign primary child=-1},
  calign with current/.style={for parent/.wrap pgfmath arg={calign=child,calign primary child=##1}{n}},
  calign with current edge/.style={for parent/.wrap pgfmath arg={calign=child edge,calign primary child=##1}{n}},
  calign/child edge/.style={calign'=child edge},
  calign/midpoint/.style={calign'=midpoint},
  calign/center/.style={calign'=midpoint,calign primary child=1,calign secondary child=-1},
  calign/edge midpoint/.style={calign'=edge midpoint},
  calign/fixed angles/.style={calign'=fixed angles},
  calign/fixed edge angles/.style={calign'=fixed edge angles},
  calign/.unknown/.code={\PackageError{forest}{unknown calign '\pgfkeyscurrentname'}{}},
  declare count={calign primary child}{1},
  declare count={calign secondary child}{-1},
  declare count={calign primary angle}{-35},
  declare count={calign secondary angle}{35},
  calign child/.style={calign primary child={#1}},
  calign angle/.style={calign primary angle={-#1},calign secondary angle={#1}},
  declare toks={tier}{},
  declare toks={fit}{tight},
  declare boolean={ignore}{0},
  declare boolean={ignore edge}{0},
  no edge/.style={edge'={},ignore edge},
  declare keylist={edge}{draw},
  declare toks={edge path}{%
    \noexpand\path[\forestoption{edge}]%
    (\forestOve{\forestove{@parent}}{name}.parent anchor)--(\forestove{name}.child anchor)\forestoption{edge label};},
  triangle/.style={edge path={%
      \noexpand\path[\forestoption{edge}]%
      (\forestove{name}.north east)--(\forestOve{\forestove{@parent}}{name}.south)--(\forestove{name}.north west)--(\forestove{name}.north east)\forestoption{edge label};}},
  declare toks={edge label}{},
  declare boolean={phantom}{0},
  baseline/.style={alias={forest@baseline@node}},
  declare readonly count={n},
  declare readonly count={n'},
  declare readonly count={n children},
  declare readonly count={level},
  declare dimen=x{},
  declare dimen=y{},
  declare dimen={s}{0pt},
  declare dimen={l}{6ex}, % just in case: should be set by the calibration
  declare dimen={s sep}{0.6666em},
  declare dimen={l sep}{1ex},  % just in case: calibration!
  declare keylist={node options}{},
  declare toks={tikz}{},
  afterthought/.style={tikz+={#1}},
  label/.style={tikz={\path[late options={%
        name=\forestoption{name},label={#1}}];}},
  pin/.style={tikz={\path[late options={%
        name=\forestoption{name},pin={#1}}];}},
  declare toks={content format}{\forestoption{content}},
  math content/.style={content format={\ensuremath{\forestoption{content}}}},
  declare toks={node format}{%
    \noexpand\node
    [\forestoption{node options},anchor=\forestoption{anchor}]%
    (\forestoption{name})%
    {\foresteoption{content format}};%
  },
  tabular@environment/.style={content format={%
    \noexpand\begin{tabular}[\forestoption{base}]{\forestoption{align}}%
      \forestoption{content}%
     \noexpand\end{tabular}%
  }},
  declare toks={align}{},
  TeX={\pgfkeysgetvalue{/forest/align/.@cmd}\forest@temp
    \pgfkeyslet{/forest/align'/.@cmd}\forest@temp},
  align/.is choice,
  align/.unknown/.code={%
    \edef\forest@marshal{%
      \noexpand\pgfkeysalso{%
        align'={\pgfkeyscurrentname},%
        tabular@environment
      }%
    }\forest@marshal
  },
  align/center/.style={align'={@{}c@{}},tabular@environment},
  align/left/.style={align'={@{}l@{}},tabular@environment},
  align/right/.style={align'={@{}r@{}},tabular@environment},
  declare toks={base}{t},
  TeX={\pgfkeysgetvalue{/forest/base/.@cmd}\forest@temp
    \pgfkeyslet{/forest/base'/.@cmd}\forest@temp},
  base/.is choice,
  base/top/.style={base'=t},
  base/bottom/.style={base'=b},
  base/.unknown/.style={base'/.expand once=\pgfkeyscurrentname},
  .unknown/.code={%
    \expandafter\pgfutil@in@\expandafter.\expandafter{\pgfkeyscurrentname}%
    \ifpgfutil@in@
      \expandafter\forest@relatednode@option@setter\pgfkeyscurrentname=#1\forest@END
    \else
      \edef\forest@marshal{%
        \noexpand\pgfkeysalso{node options={\pgfkeyscurrentname=\unexpanded{#1}}}%
      }\forest@marshal
    \fi
  },
  get node boundary/.code={%
    \forestoget{boundary}\forest@node@boundary
    \def#1{}%
    \forest@extendpath#1\forest@node@boundary{\pgfpoint{\forestove{x}}{\forestove{y}}}%
  },
  % get min l tree boundary/.code={%
  %   \forest@get@tree@boundary{negative}{\the\numexpr\forestove{grow}-90\relax}#1},
  % get max l tree boundary/.code={%
  %   \forest@get@tree@boundary{positive}{\the\numexpr\forestove{grow}-90\relax}#1},
  get min s tree boundary/.code={%
    \forest@get@tree@boundary{negative}{\forestove{grow}}#1},
  get max s tree boundary/.code={%
    \forest@get@tree@boundary{positive}{\forestove{grow}}#1},
  fit to tree/.code={%
    \pgfkeysalso{%
      /forest/get min s tree boundary=\forest@temp@negative@boundary,
      /forest/get max s tree boundary=\forest@temp@positive@boundary
    }%
    \edef\forest@temp@boundary{\expandonce{\forest@temp@negative@boundary}\expandonce{\forest@temp@positive@boundary}}%
    \forest@path@getboundingrectangle@xy\forest@temp@boundary
    \pgfkeysalso{inner sep=0,fit/.expanded={(\the\pgf@xa,\the\pgf@ya)(\the\pgf@xb,\the\pgf@yb)}}%
  },
  use as bounding box/.style={%
    before drawing tree={
      tikz+/.expanded={%
        \noexpand\pgfresetboundingbox
        \noexpand\useasboundingbox
        ($(.anchor)+(\forestoption{min x},\forestoption{min y})$)
        rectangle
        ($(.anchor)+(\forestoption{max x},\forestoption{max y})$)
        ;
      }
    }
  },
  use as bounding box'/.style={%
    before drawing tree={
      tikz+/.expanded={%
        \noexpand\pgfresetboundingbox
        \noexpand\useasboundingbox
        ($(.anchor)+(\forestoption{min x}+\pgfkeysvalueof{/pgf/outer xsep}/2+\pgfkeysvalueof{/pgf/inner xsep},\forestoption{min y}+\pgfkeysvalueof{/pgf/outer ysep}/2+\pgfkeysvalueof{/pgf/inner ysep})$)
        rectangle
        ($(.anchor)+(\forestoption{max x}-\pgfkeysvalueof{/pgf/outer xsep}/2-\pgfkeysvalueof{/pgf/inner xsep},\forestoption{max y}-\pgfkeysvalueof{/pgf/outer ysep}/2-\pgfkeysvalueof{/pgf/inner ysep})$)
        ;
      }
    }
  },
}%
\def\forest@get@tree@boundary#1#2#3{%#1=pos/neg,#2=grow,#3=receiving cs
  \def#3{}%
  \forest@node@getedge{#1}{#2}\forest@temp@boundary
  \forest@extendpath#3\forest@temp@boundary{\pgfpoint{\forestove{x}}{\forestove{y}}}%
}
\def\forest@setter@node{\forest@cn}%
\def\forest@relatednode@option@setter#1.#2=#3\forest@END{%
  \forest@forthis{%
    \forest@nameandgo{#1}%
    \let\forest@setter@node\forest@cn
  }%
  \pgfkeysalso{#2={#3}}%
  \def\forest@setter@node{\forest@cn}%
}%
\forestset{
  for tree/.code={\forest@node@foreach{\pgfkeysalso{#1}}},
  if/.code n args={3}{%
    \pgfmathparse{#1}%
    \ifnum\pgfmathresult=0 \pgfkeysalso{#3}\else\pgfkeysalso{#2}\fi
  },
  where/.style n args={3}{for tree={if={#1}{#2}{#3}}},
  for descendants/.code={\forest@node@foreachdescendant{\pgfkeysalso{#1}}},
  for all next/.style={for next={#1,for all next={#1}}},
  for all previous/.style={for previous={#1,for all previous={#1}}},
  for siblings/.style={for all previous={#1},for all next={#1}},
  for ancestors/.style={for parent={#1,for ancestors={#1}}},
  for ancestors'/.style={#1,for ancestors={#1}},
  for children/.code={\forest@node@foreachchild{\pgfkeysalso{#1}}},
  for c-commanded={for sibling={for tree={#1}}},
  for c-commanders={for sibling={#1},for parent={for c-commanders={#1}}}
}
\newcount\forest@repeat@key@depth
\forestset{%
  repeat/.code 2 args={%
    \advance\forest@repeat@key@depth1
    \pgfmathparse{int(#1)}%
    \csedef{forest@repeat@key@\the\forest@repeat@key@depth}{\pgfmathresult}%
    \expandafter\newloop\csname forest@repeat@key@loop@\the\forest@repeat@key@depth\endcsname
    \def\forest@marshal{%
      \csname forest@repeat@key@loop@\the\forest@repeat@key@depth\endcsname
        \forest@temp@count=\csname forest@repeat@key@\the\forest@repeat@key@depth\endcsname\relax
      \ifnum\forest@temp@count>0
        \advance\forest@temp@count-1
        \csedef{forest@repeat@key@\the\forest@repeat@key@depth}{\the\forest@temp@count}%
        \pgfkeysalso{#2}%
    }%
    \expandafter\forest@marshal\csname forest@repeat@key@repeat@\the\forest@repeat@key@depth\endcsname
    \advance\forest@repeat@key@depth-1
  },
}
\pgfkeysgetvalue{/forest/repeat/.@cmd}\forest@temp
\pgfkeyslet{/forest/node walk/repeat/.@cmd}\forest@temp
\pgfmathdeclarefunction{strequal}{2}{%
  \ifstrequal{#1}{#2}{\def\pgfmathresult{1}}{\def\pgfmathresult{0}}%
}
\pgfmathdeclarefunction{instr}{2}{%
  \pgfutil@in@{#1}{#2}%
  \ifpgfutil@in@\def\pgfmathresult{1}\else\def\pgfmathresult{0}\fi
}
\pgfmathdeclarefunction{strcat}{...}{%
  \edef\pgfmathresult{\forest@strip@braces{#1}}%
}
\def\forest@pgfmathhelper@attribute@toks#1#2{%
  \forest@forthis{%
    \forest@nameandgo{#1}%
    \forestoget{#2}\pgfmathresult
  }%
}
\def\forest@pgfmathhelper@attribute@dimen#1#2{%
  \forest@forthis{%
    \forest@nameandgo{#1}%
    \forestoget{#2}\forest@temp
    \pgfmathparse{+\forest@temp}%
  }%
}
\def\forest@pgfmathhelper@attribute@count#1#2{%
  \forest@forthis{%
    \forest@nameandgo{#1}%
    \forestoget{#2}\forest@temp
    \pgfmathtruncatemacro\pgfmathresult{\forest@temp}%
  }%
}
\pgfmathdeclarefunction{id}{1}{%
  \forest@forthis{%
    \forest@nameandgo{#1}%
    \let\pgfmathresult\forest@cn
  }%
}
\forestset{%
  if id/.code n args={3}{%
    \ifnum#1=\forest@cn\relax
      \pgfkeysalso{#2}%
    \else
      \pgfkeysalso{#3}%
    \fi
  },
  where id/.style n args={3}{for tree={if id={#1}{#2}{#3}}}
}
\def\forest@last@node{0}
\def\forest@nodehandleby@name@nodewalk@or@bracket#1{%
  \ifx\pgfkeysnovalue#1%
    \edef\forest@last@node{\forest@node@Nametoid{forest@last@node}}%
  \else
    \forest@nodehandleby@nnb@checkfirst#1\forest@END
  \fi
}
\def\forest@nodehandleby@nnb@checkfirst#1#2\forest@END{%
  \ifx[#1%]
    \forest@create@node{#1#2}%
  \else
    \forest@forthis{%
      \forest@nameandgo{#1#2}%
      \let\forest@last@node\forest@cn
    }%
  \fi
}
\def\forest@create@node#1{% #1=bracket representation
  \bracketParse{\forest@create@collectafterthought}%
               \forest@last@node=#1\forest@end@create@node
}
\def\forest@create@collectafterthought#1\forest@end@create@node{%
  \forestOletO{\forest@last@node}{delay}{\forest@last@node}{given options}%
  \forestOset{\forest@last@node}{given options}{}%
  \forestOeappto{\forest@last@node}{delay}{,\unexpanded{#1}}%
}
\def\forest@create@collectafterthought#1\forest@end@create@node{%
  \forest@node@Foreach{\forest@last@node}{%
    \forestoleto{delay}{given options}%
    \forestoset{given options}{}%
  }%
  \forestOeappto{\forest@last@node}{delay}{,\unexpanded{#1}}%
}
\def\forest@remove@node#1{%
  \forest@node@Remove{#1}%
}
\def\forest@append@node#1#2{%
  \forest@node@Remove{#2}%
  \forest@node@Append{#1}{#2}%
}
\def\forest@prepend@node#1#2{%
  \forest@node@Remove{#2}%
  \forest@node@Prepend{#1}{#2}%
}
\def\forest@insertafter@node#1#2{%
  \forest@node@Remove{#2}%
  \forest@node@Insertafter{\forestOve{#1}{@parent}}{#2}{#1}%
}
\def\forest@insertbefore@node#1#2{%
  \forest@node@Remove{#2}%
  \forest@node@Insertbefore{\forestOve{#1}{@parent}}{#2}{#1}%
}
\def\forest@appto@do@dynamics#1#2{%
   \forest@nodehandleby@name@nodewalk@or@bracket{#2}%
   \ifcase\forest@dynamics@copyhow\relax\or
     \forest@tree@copy{\forest@last@node}\forest@last@node
   \or
     \forest@node@copy{\forest@last@node}\forest@last@node
   \fi
   \forest@node@Ifnamedefined{forest@last@node}{%
     \forestOepreto{\forest@last@node}{delay}
       {for id={\forest@node@Nametoid{forest@last@node}}{alias=forest@last@node},}%
     }{}%
   \forest@havedelayedoptionstrue
   \edef\forest@marshal{%
     \noexpand\apptotoks\noexpand\forest@do@dynamics{%
       \noexpand#1{\forest@cn}{\forest@last@node}}%
   }\forest@marshal
}
\forestset{%
  create/.code={\forest@create@node{#1}},
  append/.code={\def\forest@dynamics@copyhow{0}\forest@appto@do@dynamics\forest@append@node{#1}},
  prepend/.code={\def\forest@dynamics@copyhow{0}\forest@appto@do@dynamics\forest@prepend@node{#1}},
  insert after/.code={\def\forest@dynamics@copyhow{0}\forest@appto@do@dynamics\forest@insertafter@node{#1}},
  insert before/.code={\def\forest@dynamics@copyhow{0}\forest@appto@do@dynamics\forest@insertbefore@node{#1}},
  append'/.code={\def\forest@dynamics@copyhow{1}\forest@appto@do@dynamics\forest@append@node{#1}},
  prepend'/.code={\def\forest@dynamics@copyhow{1}\forest@appto@do@dynamics\forest@prepend@node{#1}},
  insert after'/.code={\def\forest@dynamics@copyhow{1}\forest@appto@do@dynamics\forest@insertafter@node{#1}},
  insert before'/.code={\def\forest@dynamics@copyhow{1}\forest@appto@do@dynamics\forest@insertbefore@node{#1}},
  append''/.code={\def\forest@dynamics@copyhow{2}\forest@appto@do@dynamics\forest@append@node{#1}},
  prepend''/.code={\def\forest@dynamics@copyhow{2}\forest@appto@do@dynamics\forest@prepend@node{#1}},
  insert after''/.code={\def\forest@dynamics@copyhow{2}\forest@appto@do@dynamics\forest@insertafter@node{#1}},
  insert before''/.code={\def\forest@dynamics@copyhow{2}\forest@appto@do@dynamics\forest@insertbefore@node{#1}},
  remove/.code={%
    \pgfkeysalso{alias=forest@last@node}%
    \expandafter\apptotoks\expandafter\forest@do@dynamics\expandafter{%
      \expandafter\forest@remove@node\expandafter{\forest@cn}}%
  },
  set root/.code={%
    \forest@nodehandleby@name@nodewalk@or@bracket{#1}%
    \edef\forest@marshal{%
      \noexpand\apptotoks\noexpand\forest@do@dynamics{%
        \def\noexpand\forest@root{\forest@last@node}%
      }%
    }\forest@marshal
  },
  replace by/.code={\forest@replaceby@code{#1}{insert after}},
  replace by'/.code={\forest@replaceby@code{#1}{insert after'}},
  replace by''/.code={\forest@replaceby@code{#1}{insert after''}},
}
\def\forest@replaceby@code#1#2{%#1=node spec,#2=insert after['][']
  \ifnum\forestove{@parent}=0
    \pgfkeysalso{set root={#1}}%
  \else
    \pgfkeysalso{alias=forest@last@node,#2={#1}}%
    \eapptotoks\forest@do@dynamics{%
      \noexpand\ifnum\noexpand\forestOve{\forest@cn}{@parent}=\forestove{@parent}
        \noexpand\forest@remove@node{\forest@cn}%
      \noexpand\fi
    }%
  \fi
}
\forestset{
  stages/.style={
    process keylist=before typesetting nodes,
    typeset nodes stage,
    process keylist=before packing,
    pack stage,
    process keylist=before computing xy,
    compute xy stage,
    process keylist=before drawing tree,
    draw tree stage,
  },
  typeset nodes stage/.style={for root'=typeset nodes},
  pack stage/.style={for root'=pack},
  compute xy stage/.style={for root'=compute xy},
  draw tree stage/.style={for root'=draw tree},
  process keylist/.code={\forest@process@hook@keylist{#1}},
  declare keylist={given options}{},
  declare keylist={before typesetting nodes}{},
  declare keylist={before packing}{},
  declare keylist={before computing xy}{},
  declare keylist={before drawing tree}{},
  declare keylist={delay}{},
  delay/.append code={\forest@havedelayedoptionstrue},
  delay n/.style 2 args={if={#1==0}{#2}{delay@n={#1}{#2}}},
  delay@n/.style 2 args={
    if={#1==1}{delay={#2}}{delay={delay@n/.wrap pgfmath arg={{##1}{#2}}{#1-1}}}
  },
  if have delayed/.code 2 args={%
    \ifforest@havedelayedoptions\pgfkeysalso{#1}\else\pgfkeysalso{#2}\fi
  },
  typeset nodes/.code={%
    \forest@drawtree@preservenodeboxes@false
    \forest@node@foreach{\forest@node@typeset}},
  typeset nodes'/.code={%
    \forest@drawtree@preservenodeboxes@true
    \forest@node@foreach{\forest@node@typeset}},
  typeset node/.code={%
    \forest@drawtree@preservenodeboxes@false
    \forest@node@typeset
  },
  pack/.code={\forest@pack},
  pack'/.code={\forest@pack@onlythisnode},
  compute xy/.code={\forest@node@computeabsolutepositions},
  draw tree box/.store in=\forest@drawtreebox,
  draw tree box,
  draw tree/.code={%
    \forest@drawtree@preservenodeboxes@false
    \forest@node@drawtree
  },
  draw tree'/.code={%
    \forest@drawtree@preservenodeboxes@true
    \forest@node@drawtree
  },
}
\newtoks\forest@do@dynamics
\newif\ifforest@havedelayedoptions
\def\forest@process@hook@keylist#1{%
  \forest@loopa
    \forest@havedelayedoptionsfalse
    \forest@do@dynamics={}%
    \forest@fornode{\forest@root}{\forest@process@hook@keylist@{#1}}%
    \expandafter\ifstrempty\expandafter{\the\forest@do@dynamics}{}{%
      \the\forest@do@dynamics
      \forest@node@Compute@numeric@ts@info{\forest@root}%
      \forest@havedelayedoptionstrue
    }%
  \ifforest@havedelayedoptions
    \forest@node@Foreach{\forest@root}{%
      \forestoget{delay}\forest@temp@delayed
      \forestolet{#1}\forest@temp@delayed
      \forestoset{delay}{}%
    }%
  \forest@repeata
}
\def\forest@process@hook@keylist@#1{%
  \forest@node@foreach{%
    \forestoget{#1}\forest@temp@keys
    \ifdefvoid\forest@temp@keys{}{%
      \forestoset{#1}{}%
      \expandafter\forestset\expandafter{\forest@temp@keys}%
    }%
  }%
}
\def\forest@node@typeset{%
  \let\forest@next\forest@node@typeset@
  \forestoifdefined{box}{%
    \ifforest@drawtree@preservenodeboxes@
      \let\forest@next\relax
    \fi
  }{%
    \locbox\forest@temp@box
    \forestolet{box}\forest@temp@box
  }%
  \def\forest@node@typeset@restore{}%
  \ifdefined\ifsa@tikz\forest@standalone@hack\fi
  \forest@next
  \forest@node@typeset@restore
}
\def\forest@standalone@hack{%
  \ifsa@tikz
    \let\forest@standalone@tikzpicture\tikzpicture
    \let\forest@standalone@endtikzpicture\endtikzpicture
    \let\tikzpicture\sa@orig@tikzpicture
    \let\endtikzpicture\sa@orig@endtikzpicture
    \def\forest@node@typeset@restore{%
      \let\tikzpicture\forest@standalone@tikzpicture
      \let\endtikzpicture\forest@standalone@endtikzpicture
    }%
  \fi
}
\newbox\forest@box
\def\forest@node@typeset@{%
  \forestoget{name}\forest@nodename
  \edef\forest@temp@nodeformat{\forestove{node format}}%
  \gdef\forest@smuggle{}%
  \setbox0=\hbox{%
    \begin{tikzpicture}%
      \pgfpositionnodelater{\forest@positionnodelater@save}%
      \forest@temp@nodeformat
      \pgfinterruptpath
      \pgfpointanchor{\forest@pgf@notyetpositioned\forest@nodename}{forestcomputenodeboundary}%
      \endpgfinterruptpath
      %\forest@compute@node@boundary\forest@temp
      %\xappto\forest@smuggle{\noexpand\forestoset{boundary}{\expandonce\forest@temp}}%
      \if\relax\forestove{parent anchor}\relax
        \pgfpointanchor{\forest@pgf@notyetpositioned\forest@nodename}{center}%
      \else
        \pgfpointanchor{\forest@pgf@notyetpositioned\forest@nodename}{\forestove{parent anchor}}%
      \fi
      \xappto\forest@smuggle{%
        \noexpand\forestoset{parent@anchor}{%
          \noexpand\noexpand\noexpand\pgf@x=\the\pgf@x\relax
          \noexpand\noexpand\noexpand\pgf@y=\the\pgf@y\relax}}%
      \if\relax\forestove{child anchor}\relax
        \pgfpointanchor{\forest@pgf@notyetpositioned\forest@nodename}{center}%
      \else
        \pgfpointanchor{\forest@pgf@notyetpositioned\forest@nodename}{\forestove{child anchor}}%
      \fi
      \xappto\forest@smuggle{%
        \noexpand\forestoeset{child@anchor}{%
          \noexpand\noexpand\noexpand\pgf@x=\the\pgf@x\relax
          \noexpand\noexpand\noexpand\pgf@y=\the\pgf@y\relax}}%
      \if\relax\forestove{anchor}\relax
        \pgfpointanchor{\forest@pgf@notyetpositioned\forest@nodename}{center}%
      \else
        \pgfpointanchor{\forest@pgf@notyetpositioned\forest@nodename}{\forestove{anchor}}%
      \fi
      \xappto\forest@smuggle{%
        \noexpand\forestoeset{@anchor}{%
          \noexpand\noexpand\noexpand\pgf@x=\the\pgf@x\relax
          \noexpand\noexpand\noexpand\pgf@y=\the\pgf@y\relax}}%
    \end{tikzpicture}%
  }%
  \setbox\forestove{box}=\box\forest@box % smuggle the box
  \forestolet{boundary}\forest@global@boundary
  \forest@smuggle % ... and the rest
}
\forestset{
  declare readonly dimen={min x},
  declare readonly dimen={min y},
  declare readonly dimen={max x},
  declare readonly dimen={max y},
}
\def\forest@patch@enormouscoordinateboxbounds@plus#1{%
  \expandafter\ifstrequal\expandafter{#1}{16000.0pt}{\def#1{0.0pt}}{}%
}
\def\forest@patch@enormouscoordinateboxbounds@minus#1{%
  \expandafter\ifstrequal\expandafter{#1}{-16000.0pt}{\def#1{0.0pt}}{}%
}
\def\forest@positionnodelater@save{%
  \global\setbox\forest@box=\box\pgfpositionnodelaterbox
  \xappto\forest@smuggle{\noexpand\forestoset{later@name}{\pgfpositionnodelatername}}%
  % a bug in pgf? ---well, here's a patch
  \forest@patch@enormouscoordinateboxbounds@plus\pgfpositionnodelaterminx
  \forest@patch@enormouscoordinateboxbounds@plus\pgfpositionnodelaterminy
  \forest@patch@enormouscoordinateboxbounds@minus\pgfpositionnodelatermaxx
  \forest@patch@enormouscoordinateboxbounds@minus\pgfpositionnodelatermaxy
  % end of patch
  \xappto\forest@smuggle{\noexpand\forestoset{min x}{\pgfpositionnodelaterminx}}%
  \xappto\forest@smuggle{\noexpand\forestoset{min y}{\pgfpositionnodelaterminy}}%
  \xappto\forest@smuggle{\noexpand\forestoset{max x}{\pgfpositionnodelatermaxx}}%
  \xappto\forest@smuggle{\noexpand\forestoset{max y}{\pgfpositionnodelatermaxy}}%
}
\def\forest@node@forest@positionnodelater@restore{%
  \ifforest@drawtree@preservenodeboxes@
    \let\forest@boxorcopy\copy
  \else
    \let\forest@boxorcopy\box
  \fi
  \forestoget{box}\forest@temp
  \setbox\pgfpositionnodelaterbox=\forest@boxorcopy\forest@temp
  \edef\pgfpositionnodelatername{\forestove{later@name}}%
  \edef\pgfpositionnodelaterminx{\forestove{min x}}%
  \edef\pgfpositionnodelaterminy{\forestove{min y}}%
  \edef\pgfpositionnodelatermaxx{\forestove{max x}}%
  \edef\pgfpositionnodelatermaxy{\forestove{max y}}%
}
\def\forest@pack{%
  \forest@pack@computetiers
  \forest@pack@computegrowthuniformity
  \forest@@pack
}
\def\forest@@pack{%
  \ifnum\forestove{n children}>0
    \ifnum\forestove{uniform growth}>0
      \forest@pack@level@uniform
      \forest@pack@aligntiers@ofsubtree
      \forest@pack@sibling@uniform@recursive
    \else
      \forest@node@foreachchild{\forest@@pack}%
      \forest@pack@level@nonuniform
      \forest@pack@aligntiers
      \forest@pack@sibling@uniform@applyreversed
    \fi
  \fi
}
\def\forest@pack@onlythisnode{%
  \ifnum\forestove{n children}>0
    \forest@pack@computetiers
      \forest@pack@level@nonuniform
      \forest@pack@aligntiers
      \forest@pack@sibling@uniform@applyreversed
  \fi
}
\def\forest@pack@computegrowthuniformity{%
  \forest@node@foreachchild{\forest@pack@computegrowthuniformity}%
  \edef\forest@pack@cgu@uniformity{%
    \ifnum\forestove{n children}=0
    2\else 1\fi
  }%
  \forestoget{grow}\forest@pack@cgu@parentgrow
  \forest@node@foreachchild{%
    \ifnum\forestove{uniform growth}=0
      \def\forest@pack@cgu@uniformity{0}%
    \else
      \ifnum\forestove{uniform growth}=1
        \ifnum\forestove{grow}=\forest@pack@cgu@parentgrow\relax\else
          \def\forest@pack@cgu@uniformity{0}%
        \fi
      \fi
    \fi
  }%
  \forestolet{uniform growth}\forest@pack@cgu@uniformity
}
\def\forest@pack@level@uniform{%
  \let\forest@plu@minchildl\relax
  \forestoget{grow}\forest@plu@grow
  \forest@node@foreachchild{%
    \forest@node@getboundingrectangle@ls{\forest@plu@grow}%
    \advance\pgf@xa\forestove{l}\relax
    \ifx\forest@plu@minchildl\relax
      \edef\forest@plu@minchildl{\the\pgf@xa}%
    \else
      \ifdim\pgf@xa<\forest@plu@minchildl\relax
        \edef\forest@plu@minchildl{\the\pgf@xa}%
      \fi
    \fi
  }%
  \forest@node@getboundingrectangle@ls{\forest@plu@grow}%
  \pgfutil@tempdima=\pgf@xb\relax
  \advance\pgfutil@tempdima -\forest@plu@minchildl\relax
  \advance\pgfutil@tempdima \forestove{l sep}\relax
  \ifdim\pgfutil@tempdima>0pt
    \forest@node@foreachchild{%
      \forestoeset{l}{\the\dimexpr\forestove{l}+\the\pgfutil@tempdima}%
    }%
  \fi
  \forest@node@foreachchild{%
    \ifnum\forestove{n children}>0
      \forest@pack@level@uniform
    \fi
  }%
}
\def\forest@pack@level@nonuniform{%
  \let\forest@plu@minchildl\relax
  \forestoget{grow}\forest@plu@grow
  \forest@node@foreachchild{%
    \forest@node@getedge{negative}{\forest@plu@grow}{\forest@plnu@negativechildedge}%
    \forest@node@getedge{positive}{\forest@plu@grow}{\forest@plnu@positivechildedge}%
    \def\forest@plnu@childedge{\forest@plnu@negativechildedge\forest@plnu@positivechildedge}%
    \forest@path@getboundingrectangle@ls\forest@plnu@childedge{\forest@plu@grow}%
    \advance\pgf@xa\forestove{l}\relax
    \ifx\forest@plu@minchildl\relax
      \edef\forest@plu@minchildl{\the\pgf@xa}%
    \else
      \ifdim\pgf@xa<\forest@plu@minchildl\relax
        \edef\forest@plu@minchildl{\the\pgf@xa}%
      \fi
    \fi
  }%
  \forest@node@getboundingrectangle@ls{\forest@plu@grow}%
  \pgfutil@tempdima=\pgf@xb\relax
  \advance\pgfutil@tempdima -\forest@plu@minchildl\relax
  \advance\pgfutil@tempdima \forestove{l sep}\relax
  \ifdim\pgfutil@tempdima>0pt
    \forest@node@foreachchild{%
      \forestoeset{l}{\the\dimexpr\the\pgfutil@tempdima+\forestove{l}}%
    }%
  \fi
}
\def\forest@pack@aligntiers{%
  \forestoget{grow}\forest@temp@parentgrow
  \forestoget{@tiers}\forest@temp@tiers
  \forlistloop\forest@pack@aligntier@\forest@temp@tiers
}
\def\forest@pack@aligntiers@ofsubtree{%
  \forest@node@foreach{\forest@pack@aligntiers}%
}
\def\forest@pack@aligntiers@computeabsl{%
  \forestoleto{abs@l}{l}%
  \forest@node@foreachdescendant{\forest@pack@aligntiers@computeabsl@}%
}
\def\forest@pack@aligntiers@computeabsl@{%
  \forestoeset{abs@l}{\the\dimexpr\forestove{l}+\forestOve{\forestove{@parent}}{abs@l}}%
}
\def\forest@pack@aligntier@#1{%
  \forest@pack@aligntiers@computeabsl
  \pgfutil@tempdima=-\maxdimen\relax
  \def\forest@temp@currenttier{#1}%
  \forest@node@foreach{%
    \forestoget{tier}\forest@temp@tier
    \ifx\forest@temp@currenttier\forest@temp@tier
      \ifdim\pgfutil@tempdima<\forestove{abs@l}\relax
        \pgfutil@tempdima=\forestove{abs@l}\relax
      \fi
    \fi
  }%
  \ifdim\pgfutil@tempdima=-\maxdimen\relax\else
    \forest@node@foreach{%
      \forestoget{tier}\forest@temp@tier
      \ifx\forest@temp@currenttier\forest@temp@tier
        \forestoeset{l}{\the\dimexpr\pgfutil@tempdima-\forestove{abs@l}+\forestove{l}}%
      \fi
    }%
  \fi
}
\def\forest@pack@sibling@uniform@recursive{%
  \forest@node@foreachchild{\forest@pack@sibling@uniform@recursive}%
  \forest@pack@sibling@uniform@applyreversed
}
\def\forest@pack@sibling@uniform@applyreversed{%
  \ifnum\forestove{n children}>1
    \ifnum\forestove{reversed}=0
      \pack@sibling@uniform@main{first}{last}{next}{previous}%
    \else
      \pack@sibling@uniform@main{last}{first}{previous}{next}%
    \fi
  \fi
}
\def\pack@sibling@uniform@main#1#2#3#4{%
  \forestoget{@#1}\forest@child
  \edef\forest@temp{%
    \noexpand\forest@fornode{\forestove{@#1}}{%
      \noexpand\forest@node@getedge
        {positive}
        {\forestove{grow}}
        \noexpand\forest@temp@edge
    }%
  }\forest@temp
  \forest@pack@pgfpoint@childsposition\forest@child
  \let\forest@previous@positive@edge\pgfutil@empty
  \forest@extendpath\forest@previous@positive@edge\forest@temp@edge{}%
  \forestOget{\forest@child}{@#3}\forest@child
  \edef\forest@previous@child@s{0pt}%
  \forest@loopb
  \unless\ifnum\forest@child=0
    \edef\forest@temp{%
      \noexpand\forest@fornode{\forest@child}{%
        \noexpand\forest@node@getedge
          {negative}
          {\forestove{grow}}
          \noexpand\forest@temp@edge
        }%
    }\forest@temp
    \forest@pack@pgfpoint@childsposition\forest@child
    \let\forest@child@negative@edge\pgfutil@empty
    \forest@extendpath\forest@child@negative@edge\forest@temp@edge{}%
    \forest@setupgrowline{\forestove{grow}}%
    \forest@distance@between@edge@paths\forest@previous@positive@edge\forest@child@negative@edge\forest@csdistance
    \ifx\forest@csdistance\relax
      %\forestOeset{\forest@child}{s}{\forest@previous@child@s}%
    \else
      \advance\pgfutil@tempdimb-\forest@csdistance\relax
      \advance\pgfutil@tempdimb\forestove{s sep}\relax
      \forestOeset{\forest@child}{s}{\the\dimexpr\forestove{s}-\forest@csdistance+\forestove{s sep}}%
    \fi
    \ifdim\forestOve{\forest@child}{s}<\forest@previous@child@s\relax
      \forestOeset{\forest@child}{s}{\forest@previous@child@s}%
    \fi
    \forestOget{\forest@child}{s}\forest@child@s
    \edef\forest@previous@child@s{\forest@child@s}%
    \edef\forest@temp{%
      \noexpand\forest@fornode{\forest@child}{%
        \noexpand\forest@node@getedge
          {positive}
          {\forestove{grow}}
          \noexpand\forest@temp@edge
      }%
    }\forest@temp
    \forest@pack@pgfpoint@childsposition\forest@child
    \forest@extendpath\forest@previous@positive@edge\forest@temp@edge{}%
    \forest@getpositivetightedgeofpath\forest@previous@positive@edge\forest@previous@positive@edge
    \forestOget{\forest@child}{@#3}\forest@child
  \forest@repeatb
  \csname forest@calign@\forestove{calign}\endcsname
}
\def\forest@pack@pgfpoint@childsposition#1{%
  {%
    \pgftransformreset
    \pgftransformrotate{\forestove{grow}}%
    \forest@fornode{#1}{%
      \pgfpointtransformed{\pgfqpoint{\forestove{l}}{\forestove{s}}}%
    }%
  }%
}
\def\forest@pack@pgfpoint@positioningrow#1{%
  {%
    \pgftransformreset
    \pgftransformrotate{#1}%
    \pgfpointtransformed{\pgfqpoint{\forestove{l}}{\forestove{s}}}%
  }%
}
\def\forest@calign@s@shift#1{%
  \pgfutil@tempdima=#1\relax
  \forest@node@foreachchild{%
    \forestoeset{s}{\the\dimexpr\forestove{s}+\pgfutil@tempdima}%
  }%
}
\def\forest@calign@child{%
  \forest@calign@s@shift{-\forestOve{\forest@node@nornbarthchildid{\forestove{calign primary child}}}{s}}%
}
\csdef{forest@calign@child edge}{%
  {%
    \edef\forest@temp@child{\forest@node@nornbarthchildid{\forestove{calign primary child}}}%
    \pgftransformreset
    \pgftransformrotate{\forestove{grow}}%
    \pgfpointtransformed{\pgfqpoint{\forestOve{\forest@temp@child}{l}}{\forestOve{\forest@temp@child}{s}}}%
    \pgf@xa=\pgf@x\relax\pgf@ya=\pgf@y\relax
    \forestOve{\forest@temp@child}{child@anchor}%
    \advance\pgf@xa\pgf@x\relax\advance\pgf@ya\pgf@y\relax
    \forestove{parent@anchor}%
    \advance\pgf@xa-\pgf@x\relax\advance\pgf@ya-\pgf@y\relax
    \edef\forest@marshal{%
      \noexpand\pgftransformreset
      \noexpand\pgftransformrotate{-\forestove{grow}}%
      \noexpand\pgfpointtransformed{\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@ya}}%
    }\forest@marshal
  }%
  \forest@calign@s@shift{\the\dimexpr-\the\pgf@y}%
}
\csdef{forest@calign@midpoint}{%
  \forest@calign@s@shift{\the\dimexpr 0pt -%
    (\forestOve{\forest@node@nornbarthchildid{\forestove{calign primary child}}}{s}%
    +\forestOve{\forest@node@nornbarthchildid{\forestove{calign secondary child}}}{s}%
    )/2\relax
  }%
}
\csdef{forest@calign@edge midpoint}{%
  {%
    \edef\forest@temp@firstchild{\forest@node@nornbarthchildid{\forestove{calign primary child}}}%
    \edef\forest@temp@secondchild{\forest@node@nornbarthchildid{\forestove{calign secondary child}}}%
    \pgftransformreset
    \pgftransformrotate{\forestove{grow}}%
    \pgfpointtransformed{\pgfqpoint{\forestOve{\forest@temp@firstchild}{l}}{\forestOve{\forest@temp@firstchild}{s}}}%
    \pgf@xa=\pgf@x\relax\pgf@ya=\pgf@y\relax
    \forestOve{\forest@temp@firstchild}{child@anchor}%
    \advance\pgf@xa\pgf@x\relax\advance\pgf@ya\pgf@y\relax
    \edef\forest@marshal{%
      \noexpand\pgfpointtransformed{\noexpand\pgfqpoint{\forestOve{\forest@temp@secondchild}{l}}{\forestOve{\forest@temp@secondchild}{s}}}%
    }\forest@marshal
    \advance\pgf@xa\pgf@x\relax\advance\pgf@ya\pgf@y\relax
    \forestOve{\forest@temp@secondchild}{child@anchor}%
    \advance\pgf@xa\pgf@x\relax\advance\pgf@ya\pgf@y\relax
    \divide\pgf@xa2 \divide\pgf@ya2
    \edef\forest@marshal{%
      \noexpand\pgftransformreset
      \noexpand\pgftransformrotate{-\forestove{grow}}%
      \noexpand\pgfpointtransformed{\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@ya}}%
    }\forest@marshal
  }%
  \forest@calign@s@shift{\the\dimexpr-\the\pgf@y}%
}
\csdef{forest@calign@fixed angles}{%
  \edef\forest@ca@first@child{\forest@node@nornbarthchildid{\forestove{calign primary child}}}%
  \edef\forest@ca@second@child{\forest@node@nornbarthchildid{\forestove{calign secondary child}}}%
  \ifnum\forestove{reversed}=1
    \let\forest@temp\forest@ca@first@child
    \let\forest@ca@first@child\forest@ca@second@child
    \let\forest@ca@second@child\forest@temp
  \fi
  \forestOget{\forest@ca@first@child}{l}\forest@ca@first@l
  \forestOget{\forest@ca@second@child}{l}\forest@ca@second@l
  \pgfmathsetlengthmacro\forest@ca@desired@s@distance{%
    tan(\forestove{calign secondary angle})*\forest@ca@second@l
    -tan(\forestove{calign primary angle})*\forest@ca@first@l
  }%
  \forestOget{\forest@ca@first@child}{s}\forest@ca@first@s
  \forestOget{\forest@ca@second@child}{s}\forest@ca@second@s
  \pgfmathsetlengthmacro\forest@ca@actual@s@distance{%
    \forest@ca@second@s-\forest@ca@first@s}%
  \ifdim\forest@ca@desired@s@distance>\forest@ca@actual@s@distance\relax
    \ifdim\forest@ca@actual@s@distance=0pt
      \pgfmathsetlength\pgfutil@tempdima{tan(\forestove{calign primary angle})*\forest@ca@second@l}%
      \pgfmathsetlength\pgfutil@tempdimb{\forest@ca@desired@s@distance/(\forestove{n children}-1)}%
      \forest@node@foreachchild{%
        \forestoeset{s}{\the\pgfutil@tempdima}%
        \advance\pgfutil@tempdima\pgfutil@tempdimb
      }%
      \def\forest@calign@anchor{0pt}%
    \else
      \pgfmathsetmacro\forest@ca@ratio{%
        \forest@ca@desired@s@distance/\forest@ca@actual@s@distance}%
      \forest@node@foreachchild{%
        \pgfmathsetlengthmacro\forest@temp{\forest@ca@ratio*\forestove{s}}%
        \forestolet{s}\forest@temp
      }%
      \pgfmathsetlengthmacro\forest@calign@anchor{%
        -tan(\forestove{calign primary angle})*\forest@ca@first@l}%
    \fi
  \else
    \ifdim\forest@ca@desired@s@distance<\forest@ca@actual@s@distance\relax
      \pgfmathsetlengthmacro\forest@ca@ratio{%
        \forest@ca@actual@s@distance/\forest@ca@desired@s@distance}%
      \forest@node@foreachchild{%
        \pgfmathsetlengthmacro\forest@temp{\forest@ca@ratio*\forestove{l}}%
        \forestolet{l}\forest@temp
      }%
      \forestOget{\forest@ca@first@child}{l}\forest@ca@first@l
      \pgfmathsetlengthmacro\forest@calign@anchor{%
        -tan(\forestove{calign primary angle})*\forest@ca@first@l}%
    \fi
  \fi
  \forest@calign@s@shift{-\forest@calign@anchor}%
}
\csdef{forest@calign@fixed edge angles}{%
  \edef\forest@ca@first@child{\forest@node@nornbarthchildid{\forestove{calign primary child}}}%
  \edef\forest@ca@second@child{\forest@node@nornbarthchildid{\forestove{calign secondary child}}}%
  \ifnum\forestove{reversed}=1
    \let\forest@temp\forest@ca@first@child
    \let\forest@ca@first@child\forest@ca@second@child
    \let\forest@ca@second@child\forest@temp
  \fi
  \forestOget{\forest@ca@first@child}{l}\forest@ca@first@l
  \forestOget{\forest@ca@second@child}{l}\forest@ca@second@l
  \forestoget{parent@anchor}\forest@ca@parent@anchor
  \forest@ca@parent@anchor
  \edef\forest@ca@parent@anchor@s{\the\pgf@x}%
  \edef\forest@ca@parent@anchor@l{\the\pgf@y}%
  \forestOget{\forest@ca@first@child}{child@anchor}\forest@ca@first@child@anchor
  \forest@ca@first@child@anchor
  \edef\forest@ca@first@child@anchor@s{\the\pgf@x}%
  \edef\forest@ca@first@child@anchor@l{\the\pgf@y}%
  \forestOget{\forest@ca@second@child}{child@anchor}\forest@ca@second@child@anchor
  \forest@ca@second@child@anchor
  \edef\forest@ca@second@child@anchor@s{\the\pgf@x}%
  \edef\forest@ca@second@child@anchor@l{\the\pgf@y}%
  \pgfmathsetlengthmacro\forest@ca@desired@second@edge@s{tan(\forestove{calign secondary angle})*%
    (\forest@ca@second@l-\forest@ca@second@child@anchor@l+\forest@ca@parent@anchor@l)}%
  \pgfmathsetlengthmacro\forest@ca@desired@first@edge@s{tan(\forestove{calign primary angle})*%
    (\forest@ca@first@l-\forest@ca@first@child@anchor@l+\forest@ca@parent@anchor@l)}
  \pgfmathsetlengthmacro\forest@ca@desired@s@distance{\forest@ca@desired@second@edge@s-\forest@ca@desired@first@edge@s}%
  \forestOget{\forest@ca@first@child}{s}\forest@ca@first@s
  \forestOget{\forest@ca@second@child}{s}\forest@ca@second@s
  \pgfmathsetlengthmacro\forest@ca@actual@s@distance{%
    \forest@ca@second@s+\forest@ca@second@child@anchor@s
    -\forest@ca@first@s-\forest@ca@first@child@anchor@s}%
  \ifdim\forest@ca@desired@s@distance>\forest@ca@actual@s@distance\relax
    \ifdim\forest@ca@actual@s@distance=0pt
      \forestoget{n children}\forest@temp@n@children
      \forest@node@foreachchild{%
        \forestoget{child@anchor}\forest@temp@child@anchor
        \forest@temp@child@anchor
        \edef\forest@temp@child@anchor@s{\the\pgf@x}%
        \pgfmathsetlengthmacro\forest@temp{%
          \forest@ca@desired@first@edge@s+(\forestove{n}-1)*\forest@ca@desired@s@distance/(\forest@temp@n@children-1)+\forest@ca@first@child@anchor@s-\forest@temp@child@anchor@s}%
        \forestolet{s}\forest@temp
      }%
      \def\forest@calign@anchor{0pt}%
    \else
      \pgfmathsetmacro\forest@ca@ratio{%
        \forest@ca@desired@s@distance/\forest@ca@actual@s@distance}%
      \forest@node@foreachchild{%
        \forestoget{child@anchor}\forest@temp@child@anchor
        \forest@temp@child@anchor
        \edef\forest@temp@child@anchor@s{\the\pgf@x}%
        \pgfmathsetlengthmacro\forest@temp{%
          \forest@ca@ratio*(%
            \forestove{s}-\forest@ca@first@s
            +\forest@temp@child@anchor@s-\forest@ca@first@child@anchor@s)%
          +\forest@ca@first@s
          +\forest@ca@first@child@anchor@s-\forest@temp@child@anchor@s}%
        \forestolet{s}\forest@temp
      }%
      \pgfmathsetlengthmacro\forest@calign@anchor{%
        -tan(\forestove{calign primary angle})*(\forest@ca@first@l-\forest@ca@first@child@anchor@l+\forest@ca@parent@anchor@l)%
        +\forest@ca@first@child@anchor@s-\forest@ca@parent@anchor@s
      }%
    \fi
  \else
    \ifdim\forest@ca@desired@s@distance<\forest@ca@actual@s@distance\relax
      \pgfmathsetlengthmacro\forest@ca@ratio{%
        \forest@ca@actual@s@distance/\forest@ca@desired@s@distance}%
      \forest@node@foreachchild{%
        \forestoget{child@anchor}\forest@temp@child@anchor
        \forest@temp@child@anchor
        \edef\forest@temp@child@anchor@l{\the\pgf@y}%
        \pgfmathsetlengthmacro\forest@temp{%
          \forest@ca@ratio*(%
            \forestove{l}+\forest@ca@parent@anchor@l-\forest@temp@child@anchor@l)
            -\forest@ca@parent@anchor@l+\forest@temp@child@anchor@l}%
        \forestolet{l}\forest@temp
      }%
      \forestOget{\forest@ca@first@child}{l}\forest@ca@first@l
      \pgfmathsetlengthmacro\forest@calign@anchor{%
        -tan(\forestove{calign primary angle})*(\forest@ca@first@l+\forest@ca@parent@anchor@l-\forest@temp@child@anchor@l)%
        +\forest@ca@first@child@anchor@s-\forest@ca@parent@anchor@s
      }%
    \fi
  \fi
  \forest@calign@s@shift{-\forest@calign@anchor}%
}
\def\forest@node@getedge#1#2#3{%
  \forestoget{#1@edge@#2}#3%
  \ifx#3\relax
    \forest@node@foreachchild{%
      \forest@node@getedge{#1}{#2}{\forest@temp@edge}%
    }%
    \forest@forthis{\forest@node@getedges{#2}}%
    \forestoget{#1@edge@#2}#3%
  \fi
}
\def\forest@node@getedges#1{%
  %{%
    \forest@setupgrowline{#1}%
    \ifnum\forestove{ignore}=0
      \forestoget{boundary}\forest@node@boundary
    \else
      \def\forest@node@boundary{}%
    \fi
    \csname forest@getboth\forestove{fit}edgesofpath\endcsname
        \forest@node@boundary\forest@negative@node@edge\forest@positive@node@edge
    \forestolet{negative@edge@#1}\forest@negative@node@edge
    \forestolet{positive@edge@#1}\forest@positive@node@edge
    \get@edges@merge{negative}{#1}%
    \get@edges@merge{positive}{#1}%
  %}%
}
\def\get@edges@merge#1#2{%
  \ifnum\forestove{n children}>0
    \forestoget{#1@edge@#2}\forest@node@edge
    \forestove{parent@anchor}%
    \edef\forest@getedge@pa@l{\the\pgf@x}%
    \edef\forest@getedge@pa@s{\the\pgf@y}%
    \eappto\forest@node@edge{\noexpand\pgfsyssoftpath@movetotoken{\forest@getedge@pa@l}{\forest@getedge@pa@s}}%
    \pgftransformreset
    \pgftransformrotate{\forestove{grow}}%
    \def\forest@all@edges{}%
    \forest@node@foreachchild{%
      \forestoget{#1@edge@#2}\forest@temp@edge
      \pgfpointtransformed{\pgfqpoint{\forestove{l}}{\forestove{s}}}%
      \forest@extendpath\forest@node@edge\forest@temp@edge{}%
      \ifnum\forestove{ignore edge}=0
        \pgfpointadd
          {\pgfpointtransformed{\pgfqpoint{\forestove{l}}{\forestove{s}}}}%
          {\forestove{child@anchor}}%
        \pgfgetlastxy{\forest@getedge@ca@l}{\forest@getedge@ca@s}%
        \eappto\forest@all@edges{%
          \noexpand\pgfsyssoftpath@movetotoken{\forest@getedge@pa@l}{\forest@getedge@pa@s}%
          \noexpand\pgfsyssoftpath@linetotoken{\forest@getedge@ca@l}{\forest@getedge@ca@s}%
        }%
        % this deals with potential overlap of the edges:
        \eappto\forest@node@edge{\noexpand\pgfsyssoftpath@movetotoken{\forest@getedge@ca@l}{\forest@getedge@ca@s}}%
      \fi
    }%
    \ifdefempty{\forest@all@edges}{}{%
      \pgfintersectionofpaths{\pgfsetpath\forest@all@edges}{\pgfsetpath\forest@node@edge}%
      \def\forest@edgenode@intersections{}%
      \forest@merge@intersectionloop
      \eappto\forest@node@edge{\expandonce{\forest@all@edges}\expandonce{\forest@edgenode@intersections}}%
    }%
    \csname forest@get#1\forestove{fit}edgeofpath\endcsname\forest@node@edge\forest@node@edge
    \forestolet{#1@edge@#2}\forest@node@edge
  \fi
}
\newloop\forest@merge@loop
\def\forest@merge@intersectionloop{%
  \c@pgf@counta=0
  \forest@merge@loop
  \ifnum\c@pgf@counta<\pgfintersectionsolutions\relax
    \advance\c@pgf@counta1
    \pgfpointintersectionsolution{\the\c@pgf@counta}%
    \eappto\forest@edgenode@intersections{\noexpand\pgfsyssoftpath@movetotoken
      {\the\pgf@x}{\the\pgf@y}}%
  \forest@merge@repeat
}
\def\forest@node@getboundingrectangle@ls#1{%
  \forestoget{boundary}\forest@node@boundary
  \forest@path@getboundingrectangle@ls\forest@node@boundary{#1}%
}
\def\forest@pgfpathtransformed#1{%
  \forest@save@pgfsyssoftpath@tokendefs
  \let\pgfsyssoftpath@movetotoken\forest@pgfpathtransformed@moveto
  \let\pgfsyssoftpath@linetotoken\forest@pgfpathtransformed@lineto
  \pgfsyssoftpath@setcurrentpath\pgfutil@empty
  #1%
  \forest@restore@pgfsyssoftpath@tokendefs
}
\def\forest@pgfpathtransformed@moveto#1#2{%
  \forest@pgfpathtransformed@op\pgfsyssoftpath@moveto{#1}{#2}%
}
\def\forest@pgfpathtransformed@lineto#1#2{%
  \forest@pgfpathtransformed@op\pgfsyssoftpath@lineto{#1}{#2}%
}
\def\forest@pgfpathtransformed@op#1#2#3{%
  \pgfpointtransformed{\pgfqpoint{#2}{#3}}%
  \edef\forest@temp{%
    \noexpand#1{\the\pgf@x}{\the\pgf@y}%
  }%
  \forest@temp
}
\def\forest@pack@computetiers{%
  {%
    \forest@pack@tiers@getalltiersinsubtree
    \forest@pack@tiers@computetierhierarchy
    \forest@pack@tiers@findcontainers
    \forest@pack@tiers@raisecontainers
    \forest@pack@tiers@computeprocessingorder
    \gdef\forest@smuggle{}%
    \forest@pack@tiers@write
  }%
  \forest@node@foreach{\forestoset{@tiers}{}}%
  \forest@smuggle
}
\def\forest@pack@tiers@getalltiersinsubtree{%
  \ifnum\forestove{n children}>0
    \forest@node@foreachchild{\forest@pack@tiers@getalltiersinsubtree}%
  \fi
  \forestoget{tier}\forest@temp@mytier
  \def\forest@temp@mytiers{}%
  \ifdefempty\forest@temp@mytier{}{%
    \listeadd\forest@temp@mytiers\forest@temp@mytier
  }%
  \ifnum\forestove{n children}>0
    \forest@node@foreachchild{%
      \forestoget{tiers}\forest@temp@tiers
      \forlistloop\forest@pack@tiers@forhandlerA\forest@temp@tiers
    }%
  \fi
  \forestolet{tiers}\forest@temp@mytiers
}
\def\forest@pack@tiers@forhandlerA#1{%
  \ifinlist{#1}\forest@temp@mytiers{}{%
    \listeadd\forest@temp@mytiers{#1}%
  }%
}
\def\forest@pack@tiers@computetierhierarchy{%
  \def\forest@tiers@ancestors{}%
  \forestoget{tiers}\forest@temp@mytiers
  \forlistloop\forest@pack@tiers@cth@init\forest@temp@mytiers
  \forest@pack@tiers@computetierhierarchy@
}
\def\forest@pack@tiers@cth@init#1{%
  \csdef{forest@tiers@higher@#1}{}%
  \csdef{forest@tiers@lower@#1}{}%
}
\def\forest@pack@tiers@computetierhierarchy@{%
  \forestoget{tier}\forest@temp@mytier
  \ifdefempty\forest@temp@mytier{}{%
    \forlistloop\forest@pack@tiers@forhandlerB\forest@tiers@ancestors
    \listeadd\forest@tiers@ancestors\forest@temp@mytier
  }%
  \forest@node@foreachchild{%
    \forest@pack@tiers@computetierhierarchy@
  }%
  \forestoget{tier}\forest@temp@mytier
  \ifdefempty\forest@temp@mytier{}{%
    \forest@listedel\forest@tiers@ancestors\forest@temp@mytier
  }%
}
\def\forest@pack@tiers@forhandlerB#1{%
  \def\forest@temp@tier{#1}%
  \ifx\forest@temp@tier\forest@temp@mytier
    \PackageError{forest}{Circular tier hierarchy (tier \forest@temp@mytier)}{}%
  \fi
  \ifinlistcs{#1}{forest@tiers@higher@\forest@temp@mytier}{}{%
    \listcsadd{forest@tiers@higher@\forest@temp@mytier}{#1}}%
  \xifinlistcs\forest@temp@mytier{forest@tiers@lower@#1}{}{%
    \listcseadd{forest@tiers@lower@#1}{\forest@temp@mytier}}%
}
\def\forest@pack@tiers@findcontainers{%
  \forestoget{tiers}\forest@temp@tiers
  \forlistloop\forest@pack@tiers@findcontainer\forest@temp@tiers
}
\def\forest@pack@tiers@findcontainer#1{%
  \def\forest@temp@tier{#1}%
  \forestoget{tier}\forest@temp@mytier
  \ifx\forest@temp@tier\forest@temp@mytier
    \csedef{forest@tiers@container@#1}{\forest@cn}%
  \else\@escapeif{%
    \forest@pack@tiers@findcontainerA{#1}%
  }\fi%
}
\def\forest@pack@tiers@findcontainerA#1{%
  \c@pgf@counta=0
  \forest@node@foreachchild{%
    \forestoget{tiers}\forest@temp@tiers
    \ifinlist{#1}\forest@temp@tiers{%
      \advance\c@pgf@counta 1
      \let\forest@temp@child\forest@cn
    }{}%
  }%
  \ifnum\c@pgf@counta>1
    \csedef{forest@tiers@container@#1}{\forest@cn}%
  \else\@escapeif{% surely =1
    \forest@fornode{\forest@temp@child}{%
      \forest@pack@tiers@findcontainer{#1}%
    }%
  }\fi
}
\def\forest@pack@tiers@raisecontainers{%
  \forestoget{tiers}\forest@temp@mytiers
  \forlistloop\forest@pack@tiers@rc@forhandlerA\forest@temp@mytiers
}
\def\forest@pack@tiers@rc@forhandlerA#1{%
  \edef\forest@tiers@temptier{#1}%
  \letcs\forest@tiers@containernodeoftier{forest@tiers@container@#1}%
  \letcs\forest@temp@lowertiers{forest@tiers@lower@#1}%
  \forlistloop\forest@pack@tiers@rc@forhandlerB\forest@temp@lowertiers
}
\def\forest@pack@tiers@rc@forhandlerB#1{%
  \letcs\forest@tiers@containernodeoflowertier{forest@tiers@container@#1}%
  \forestOget{\forest@tiers@containernodeoflowertier}{content}\lowercontent
  \forestOget{\forest@tiers@containernodeoftier}{content}\uppercontent
  \forest@fornode{\forest@tiers@containernodeoflowertier}{%
    \forest@ifancestorof
      {\forest@tiers@containernodeoftier}
      {\csletcs{forest@tiers@container@\forest@tiers@temptier}{forest@tiers@container@#1}}%
      {}%
  }%
}
\def\forest@pack@tiers@computeprocessingorder{%
  \def\forest@tiers@processingorder{}%
  \forestoget{tiers}\forest@tiers@cpo@tierstodo
  \forest@loopa
    \ifdefempty\forest@tiers@cpo@tierstodo{\forest@tempfalse}{\forest@temptrue}%
  \ifforest@temp
    \def\forest@tiers@cpo@tiersremaining{}%
    \def\forest@tiers@cpo@tiersindependent{}%
    \forlistloop\forest@pack@tiers@cpo@forhandlerA\forest@tiers@cpo@tierstodo
    \ifdefempty\forest@tiers@cpo@tiersindependent{%
      \PackageError{forest}{Circular tiers!}{}}{}%
    \forlistloop\forest@pack@tiers@cpo@forhandlerB\forest@tiers@cpo@tiersremaining
    \let\forest@tiers@cpo@tierstodo\forest@tiers@cpo@tiersremaining
  \forest@repeata
}
\def\forest@pack@tiers@cpo@forhandlerA#1{%
  \ifcsempty{forest@tiers@higher@#1}{%
    \listadd\forest@tiers@cpo@tiersindependent{#1}%
    \listadd\forest@tiers@processingorder{#1}%
  }{%
    \listadd\forest@tiers@cpo@tiersremaining{#1}%
  }%
}
\def\forest@pack@tiers@cpo@forhandlerB#1{%
  \def\forest@pack@tiers@cpo@aremainingtier{#1}%
  \forlistloop\forest@pack@tiers@cpo@forhandlerC\forest@tiers@cpo@tiersindependent
}
\def\forest@pack@tiers@cpo@forhandlerC#1{%
  \ifinlistcs{#1}{forest@tiers@higher@\forest@pack@tiers@cpo@aremainingtier}{%
    \forest@listcsdel{forest@tiers@higher@\forest@pack@tiers@cpo@aremainingtier}{#1}%
  }{}%
}
\def\forest@pack@tiers@write{%
  \forlistloop\forest@pack@tiers@write@forhandler\forest@tiers@processingorder
}
\def\forest@pack@tiers@write@forhandler#1{%
  \forest@fornode{\csname forest@tiers@container@#1\endcsname}{%
    \forest@pack@tiers@check{#1}%
  }%
  \xappto\forest@smuggle{%
    \noexpand\listadd
      \forestOm{\csname forest@tiers@container@#1\endcsname}{@tiers}%
      {#1}%
  }%
}
 % checks if the tier is compatible with growth changes and calign=node/edge angle
\def\forest@pack@tiers@check#1{%
  \def\forest@temp@currenttier{#1}%
  \forest@node@foreachdescendant{%
    \ifnum\forestove{grow}=\forestOve{\forestove{@parent}}{grow}
    \else
      \forest@pack@tiers@check@grow
    \fi
    \ifnum\forestove{n children}>1
      \forestoget{calign}\forest@temp
      \ifx\forest@temp\forest@pack@tiers@check@nodeangle
        \forest@pack@tiers@check@calign
      \fi
      \ifx\forest@temp\forest@pack@tiers@check@edgeangle
        \forest@pack@tiers@check@calign
      \fi
    \fi
  }%
}
\def\forest@pack@tiers@check@nodeangle{node angle}%
\def\forest@pack@tiers@check@edgeangle{edge angle}%
\def\forest@pack@tiers@check@grow{%
  \forestoget{content}\forest@temp@content
  \let\forest@temp@currentnode\forest@cn
  \forest@node@foreachdescendant{%
    \forestoget{tier}\forest@temp
    \ifx\forest@temp@currenttier\forest@temp
      \forest@pack@tiers@check@grow@error
    \fi
  }%
}
\def\forest@pack@tiers@check@grow@error{%
  \PackageError{forest}{Tree growth direction changes in node \forest@temp@currentnode\space
    (content: \forest@temp@content), while tier '\forest@temp' is specified for nodes both
    out- and inside the subtree rooted in node \forest@temp@currentnode.  This will not work.}{}%
}
\def\forest@pack@tiers@check@calign{%
  \forest@node@foreachchild{%
    \forestoget{tier}\forest@temp
    \ifx\forest@temp@currenttier\forest@temp
      \forest@pack@tiers@check@calign@warning
    \fi
  }%
}
\def\forest@pack@tiers@check@calign@warning{%
  \PackageWarning{forest}{Potential option conflict: node \forestove{@parent} (content:
    '\forestOve{\forestove{@parent}}{content}') was given 'calign=\forestove{calign}', while its
    child \forest@cn\space (content: '\forestove{content}') was given 'tier=\forestove{tier}'.
    The parent's 'calign' will only work if the child was the lowest node on its tier before the
    alignment.}{}
}
\pgfdeclaregenericanchor{forestcomputenodeboundary}{%
  \letcs\forest@temp@boundary@macro{forest@compute@node@boundary@#1}%
  \ifcsname forest@compute@node@boundary@#1\endcsname
    \csname forest@compute@node@boundary@#1\endcsname
  \else
    \forest@compute@node@boundary@rectangle
  \fi
  \pgfsyssoftpath@getcurrentpath\forest@temp
  \global\let\forest@global@boundary\forest@temp
}
\def\forest@mt#1{%
  \expandafter\pgfpointanchor\expandafter{\pgfreferencednodename}{#1}%
  \pgfsyssoftpath@moveto{\the\pgf@x}{\the\pgf@y}%
}%
\def\forest@lt#1{%
  \expandafter\pgfpointanchor\expandafter{\pgfreferencednodename}{#1}%
  \pgfsyssoftpath@lineto{\the\pgf@x}{\the\pgf@y}%
}%
\def\forest@compute@node@boundary@coordinate{%
  \forest@mt{center}%
}
\def\forest@compute@node@boundary@circle{%
  \forest@mt{east}%
  \forest@lt{north east}%
  \forest@lt{north}%
  \forest@lt{north west}%
  \forest@lt{west}%
  \forest@lt{south west}%
  \forest@lt{south}%
  \forest@lt{south east}%
  \forest@lt{east}%
}
\def\forest@compute@node@boundary@rectangle{%
  \forest@mt{south west}%
  \forest@lt{south east}%
  \forest@lt{north east}%
  \forest@lt{north west}%
  \forest@lt{south west}%
}
\def\forest@compute@node@boundary@diamond{%
  \forest@mt{east}%
  \forest@lt{north}%
  \forest@lt{west}%
  \forest@lt{south}%
  \forest@lt{east}%
}
\let\forest@compute@node@boundary@ellipse\forest@compute@node@boundary@circle
\def\forest@compute@node@boundary@trapezium{%
  \forest@mt{top right corner}%
  \forest@lt{top left corner}%
  \forest@lt{bottom left corner}%
  \forest@lt{bottom right corner}%
  \forest@lt{top right corner}%
}
\def\forest@compute@node@boundary@semicircle{%
  \forest@mt{arc start}%
  \forest@lt{north}%
  \forest@lt{east}%
  \forest@lt{north east}%
  \forest@lt{apex}%
  \forest@lt{north west}%
  \forest@lt{west}%
  \forest@lt{arc end}%
  \forest@lt{arc start}%
}
\newloop\forest@computenodeboundary@loop
\csdef{forest@compute@node@boundary@regular polygon}{%
  \forest@mt{corner 1}%
  \c@pgf@counta=\sides\relax
  \forest@computenodeboundary@loop
  \ifnum\c@pgf@counta>0
    \forest@lt{corner \the\c@pgf@counta}%
    \advance\c@pgf@counta-1
  \forest@computenodeboundary@repeat
}%
\def\forest@compute@node@boundary@star{%
  \forest@mt{outer point 1}%
  \c@pgf@counta=\totalstarpoints\relax
  \divide\c@pgf@counta2
  \forest@computenodeboundary@loop
  \ifnum\c@pgf@counta>0
    \forest@lt{inner point \the\c@pgf@counta}%
    \forest@lt{outer point \the\c@pgf@counta}%
    \advance\c@pgf@counta-1
  \forest@computenodeboundary@repeat
}%
\csdef{forest@compute@node@boundary@isosceles triangle}{%
  \forest@mt{apex}%
  \forest@lt{left corner}%
  \forest@lt{right corner}%
  \forest@lt{apex}%
}
\def\forest@compute@node@boundary@kite{%
  \forest@mt{upper vertex}%
  \forest@lt{left vertex}%
  \forest@lt{lower vertex}%
  \forest@lt{right vertex}%
  \forest@lt{upper vertex}%
}
\def\forest@compute@node@boundary@dart{%
  \forest@mt{tip}%
  \forest@lt{left tail}%
  \forest@lt{tail center}%
  \forest@lt{right tail}%
  \forest@lt{tip}%
}
\csdef{forest@compute@node@boundary@circular sector}{%
  \forest@mt{sector center}%
  \forest@lt{arc start}%
  \forest@lt{arc center}%
  \forest@lt{arc end}%
  \forest@lt{sector center}%
}
\def\forest@compute@node@boundary@cylinder{%
  \forest@mt{top}%
  \forest@lt{after top}%
  \forest@lt{before bottom}%
  \forest@lt{bottom}%
  \forest@lt{after bottom}%
  \forest@lt{before top}%
  \forest@lt{top}%
}
\cslet{forest@compute@node@boundary@forbidden sign}\forest@compute@node@boundary@circle
\cslet{forest@compute@node@boundary@magnifying glass}\forest@compute@node@boundary@circle
\def\forest@compute@node@boundary@cloud{%
  \getradii
  \forest@mt{puff 1}%
  \c@pgf@counta=\puffs\relax
  \forest@computenodeboundary@loop
  \ifnum\c@pgf@counta>0
    \forest@lt{puff \the\c@pgf@counta}%
    \advance\c@pgf@counta-1
  \forest@computenodeboundary@repeat
}
\def\forest@compute@node@boundary@starburst{
  \calculatestarburstpoints
  \forest@mt{outer point 1}%
  \c@pgf@counta=\totalpoints\relax
  \divide\c@pgf@counta2
  \forest@computenodeboundary@loop
  \ifnum\c@pgf@counta>0
    \forest@lt{inner point \the\c@pgf@counta}%
    \forest@lt{outer point \the\c@pgf@counta}%
    \advance\c@pgf@counta-1
  \forest@computenodeboundary@repeat
}%
\def\forest@compute@node@boundary@signal{%
  \forest@mt{east}%
  \forest@lt{south east}%
  \forest@lt{south west}%
  \forest@lt{west}%
  \forest@lt{north west}%
  \forest@lt{north east}%
  \forest@lt{east}%
}
\def\forest@compute@node@boundary@tape{%
  \forest@mt{north east}%
  \forest@lt{60}%
  \forest@lt{north}%
  \forest@lt{120}%
  \forest@lt{north west}%
  \forest@lt{south west}%
  \forest@lt{240}%
  \forest@lt{south}%
  \forest@lt{310}%
  \forest@lt{south east}%
  \forest@lt{north east}%
}
\csdef{forest@compute@node@boundary@single arrow}{%
  \forest@mt{tip}%
  \forest@lt{after tip}%
  \forest@lt{after head}%
  \forest@lt{before tail}%
  \forest@lt{after tail}%
  \forest@lt{before head}%
  \forest@lt{before tip}%
  \forest@lt{tip}%
}
\csdef{forest@compute@node@boundary@double arrow}{%
  \forest@mt{tip 1}%
  \forest@lt{after tip 1}%
  \forest@lt{after head 1}%
  \forest@lt{before head 2}%
  \forest@lt{before tip 2}%
  \forest@mt{tip 2}%
  \forest@lt{after tip 2}%
  \forest@lt{after head 2}%
  \forest@lt{before head 1}%
  \forest@lt{before tip 1}%
  \forest@lt{tip 1}%
}
\csdef{forest@compute@node@boundary@arrow box}{%
  \forest@mt{before north arrow}%
  \forest@lt{before north arrow head}%
  \forest@lt{before north arrow tip}%
  \forest@lt{north arrow tip}%
  \forest@lt{after north arrow tip}%
  \forest@lt{after north arrow head}%
  \forest@lt{after north arrow}%
  \forest@lt{north east}%
  \forest@lt{before east arrow}%
  \forest@lt{before east arrow head}%
  \forest@lt{before east arrow tip}%
  \forest@lt{east arrow tip}%
  \forest@lt{after east arrow tip}%
  \forest@lt{after east arrow head}%
  \forest@lt{after east arrow}%
  \forest@lt{south east}%
  \forest@lt{before south arrow}%
  \forest@lt{before south arrow head}%
  \forest@lt{before south arrow tip}%
  \forest@lt{south arrow tip}%
  \forest@lt{after south arrow tip}%
  \forest@lt{after south arrow head}%
  \forest@lt{after south arrow}%
  \forest@lt{south west}%
  \forest@lt{before west arrow}%
  \forest@lt{before west arrow head}%
  \forest@lt{before west arrow tip}%
  \forest@lt{west arrow tip}%
  \forest@lt{after west arrow tip}%
  \forest@lt{after west arrow head}%
  \forest@lt{after west arrow}%
  \forest@lt{north west}%
  \forest@lt{before north arrow}%
}
\cslet{forest@compute@node@boundary@circle split}\forest@compute@node@boundary@circle
\cslet{forest@compute@node@boundary@circle solidus}\forest@compute@node@boundary@circle
\cslet{forest@compute@node@boundary@ellipse split}\forest@compute@node@boundary@ellipse
\cslet{forest@compute@node@boundary@rectangle split}\forest@compute@node@boundary@rectangle
\def\forest@compute@node@boundary@@callout{%
  \beforecalloutpointer
  \pgfsyssoftpath@moveto{\the\pgf@x}{\the\pgf@y}%
  \calloutpointeranchor
  \pgfsyssoftpath@lineto{\the\pgf@x}{\the\pgf@y}%
  \aftercalloutpointer
  \pgfsyssoftpath@lineto{\the\pgf@x}{\the\pgf@y}%
}
\csdef{forest@compute@node@boundary@rectangle callout}{%
  \forest@compute@node@boundary@rectangle
  \rectanglecalloutpoints
  \forest@compute@node@boundary@@callout
}
\csdef{forest@compute@node@boundary@ellipse callout}{%
  \forest@compute@node@boundary@ellipse
  \ellipsecalloutpoints
  \forest@compute@node@boundary@@callout
}
\csdef{forest@compute@node@boundary@cloud callout}{%
  \forest@compute@node@boundary@cloud
  % at least a first approx...
  \forest@mt{center}%
  \forest@lt{pointer}%
}%
\csdef{forest@compute@node@boundary@cross out}{%
  \forest@mt{south east}%
  \forest@lt{north west}%
  \forest@mt{south west}%
  \forest@lt{north east}%
}%
\csdef{forest@compute@node@boundary@strike out}{%
  \forest@mt{north east}%
  \forest@lt{south west}%
}%
\csdef{forest@compute@node@boundary@rounded rectangle}{%
  \forest@mt{east}%
  \forest@lt{north east}%
  \forest@lt{north}%
  \forest@lt{north west}%
  \forest@lt{west}%
  \forest@lt{south west}%
  \forest@lt{south}%
  \forest@lt{south east}%
  \forest@lt{east}%
}%
\csdef{forest@compute@node@boundary@chamfered rectangle}{%
  \forest@mt{before south west}%
  \forest@mt{after south west}%
  \forest@lt{before south east}%
  \forest@lt{after south east}%
  \forest@lt{before north east}%
  \forest@lt{after north east}%
  \forest@lt{before north west}%
  \forest@lt{after north west}%
  \forest@lt{before south west}%
}%
\def\forest@node@computeabsolutepositions{%
  \forestoset{x}{0pt}%
  \forestoset{y}{0pt}%
  \edef\forest@marshal{%
    \noexpand\forest@node@foreachchild{%
      \noexpand\forest@node@computeabsolutepositions@{0pt}{0pt}{\forestove{grow}}%
    }%
  }\forest@marshal
}
\def\forest@node@computeabsolutepositions@#1#2#3{%
  \pgfpointadd{\pgfpoint{#1}{#2}}{%
    \pgfpointadd{\pgfpolar{#3}{\forestove{l}}}{\pgfpolar{90 + #3}{\forestove{s}}}}%
  \pgfgetlastxy\forest@temp@x\forest@temp@y
  \forestolet{x}\forest@temp@x
  \forestolet{y}\forest@temp@y
  \edef\forest@marshal{%
    \noexpand\forest@node@foreachchild{%
      \noexpand\forest@node@computeabsolutepositions@{\forest@temp@x}{\forest@temp@y}{\forestove{grow}}%
    }%
  }\forest@marshal
}
\newif\ifforest@drawtree@preservenodeboxes@
\def\forest@node@drawtree{%
  \expandafter\ifstrequal\expandafter{\forest@drawtreebox}{\pgfkeysnovalue}{%
    \let\forest@drawtree@beginbox\relax
    \let\forest@drawtree@endbox\relax
  }{%
    \edef\forest@drawtree@beginbox{\global\setbox\forest@drawtreebox=\hbox\bgroup}%
    \let\forest@drawtree@endbox\egroup
  }%
  \ifforest@external@
    \ifforest@externalize@tree@
      \forest@temptrue
    \else
      \tikzifexternalizing{%
        \ifforest@was@tikzexternalwasenable
          \forest@temptrue
          \pgfkeys{/tikz/external/optimize=false}%
          \let\forest@drawtree@beginbox\relax
          \let\forest@drawtree@endbox\relax
        \else
          \forest@tempfalse
        \fi
      }{%
        \forest@tempfalse
      }%
    \fi
    \ifforest@temp
      \advance\forest@externalize@inner@n 1
      \edef\forest@externalize@filename{%
        \tikzexternalrealjob-forest-\forest@externalize@outer@n
        \ifnum\forest@externalize@inner@n=0 \else.\the\forest@externalize@inner@n\fi}%
      \expandafter\tikzsetnextfilename\expandafter{\forest@externalize@filename}%
      \tikzexternalenable
      \pgfkeysalso{/tikz/external/remake next,/tikz/external/export next}%
    \fi
    \ifforest@externalize@tree@
      \typeout{forest: Invoking a recursive call to generate the external picture
        '\forest@externalize@filename' for the following context+code:
        '\expandafter\detokenize\expandafter{\forest@externalize@id}'}%
    \fi
  \fi
  %
  \ifforesttikzcshack
    \let\forest@original@tikz@parse@node\tikz@parse@node
    \let\tikz@parse@node\forest@tikz@parse@node
  \fi
  \pgfkeysgetvalue{/forest/begin draw/.@cmd}\forest@temp@begindraw
  \pgfkeysgetvalue{/forest/end draw/.@cmd}\forest@temp@enddraw
  \edef\forest@marshal{%
    \noexpand\forest@drawtree@beginbox
    \expandonce{\forest@temp@begindraw\pgfkeysnovalue\pgfeov}%
    \noexpand\forest@node@drawtree@
    \expandonce{\forest@temp@enddraw\pgfkeysnovalue\pgfeov}%
    \noexpand\forest@drawtree@endbox
  }\forest@marshal
  \ifforesttikzcshack
    \let\tikz@parse@node\forest@original@tikz@parse@node
  \fi
  %
  \ifforest@external@
    \ifforest@externalize@tree@
      \tikzexternaldisable
      \eappto\forest@externalize@checkimages{%
        \noexpand\forest@includeexternal@check{\forest@externalize@filename}%
      }%
      \expandafter\ifstrequal\expandafter{\forest@drawtreebox}{\pgfkeysnovalue}{%
        \eappto\forest@externalize@loadimages{%
          \noexpand\forest@includeexternal{\forest@externalize@filename}%
        }%
      }{%
        \eappto\forest@externalize@loadimages{%
          \noexpand\forest@includeexternal@box\forest@drawtreebox{\forest@externalize@filename}%
        }%
      }%
    \fi
  \fi
}
\def\forest@node@drawtree@{%
  \forest@node@foreach{\forest@draw@node}%
  \forest@node@Ifnamedefined{forest@baseline@node}{%
    \edef\forest@temp{%
      \noexpand\pgfsetbaselinepointlater{%
        \noexpand\pgfpointanchor
          {\forestOve{\forest@node@Nametoid{forest@baseline@node}}{name}}
          {\forestOve{\forest@node@Nametoid{forest@baseline@node}}{anchor}}
      }%
    }\forest@temp
  }{}%
  \forest@node@foreachdescendant{\forest@draw@edge}%
  \forest@node@foreach{\forest@draw@tikz}%
}
\def\forest@draw@node{%
  \ifnum\forestove{phantom}=0
    \forest@node@forest@positionnodelater@restore
    \ifforest@drawtree@preservenodeboxes@
      \pgfnodealias{forest@temp}{\forestove{later@name}}%
    \fi
    \pgfpositionnodenow{\pgfqpoint{\forestove{x}}{\forestove{y}}}%
    \ifforest@drawtree@preservenodeboxes@
      \pgfnodealias{\forestove{later@name}}{forest@temp}%
    \fi
  \fi
}
\def\forest@draw@edge{%
  \ifnum\forestove{phantom}=0
    \ifnum\forestOve{\forestove{@parent}}{phantom}=0
      \edef\forest@temp{\forestove{edge path}}%
      \forest@temp
    \fi
  \fi
}
\def\forest@draw@tikz{%
  \forestove{tikz}%
}
\def\forest@tikz@parse@node#1(#2){%
  \pgfutil@in@.{#2}%
  \ifpgfutil@in@
    \expandafter\forest@tikz@parse@node@checkiftikzname@withdot
  \else%
    \expandafter\forest@tikz@parse@node@checkiftikzname@withoutdot
  \fi%
  #1(#2)\forest@end
}
\def\forest@tikz@parse@node@checkiftikzname@withdot#1(#2.#3)\forest@end{%
  \forest@tikz@parse@node@checkiftikzname#1{#2}{.#3}}
\def\forest@tikz@parse@node@checkiftikzname@withoutdot#1(#2)\forest@end{%
  \forest@tikz@parse@node@checkiftikzname#1{#2}{}}
\def\forest@tikz@parse@node@checkiftikzname#1#2#3{%
  \expandafter\ifx\csname pgf@sh@ns@#2\endcsname\relax
    \forest@forthis{%
      \forest@nameandgo{#2}%
      \edef\forest@temp@relativenodename{\forestove{name}}%
    }%
  \else
    \def\forest@temp@relativenodename{#2}%
  \fi
  \expandafter\forest@original@tikz@parse@node\expandafter#1\expandafter(\forest@temp@relativenodename#3)%
}
\def\forest@nameandgo#1{%
  \pgfutil@in@!{#1}%
  \ifpgfutil@in@
    \forest@nameandgo@(#1)%
  \else
    \ifstrempty{#1}{}{\edef\forest@cn{\forest@node@Nametoid{#1}}}%
  \fi
}
\def\forest@nameandgo@(#1!#2){%
  \ifstrempty{#1}{}{\edef\forest@cn{\forest@node@Nametoid{#1}}}%
  \forest@go{#2}%
}
\pgfdeclaregenericanchor{parent anchor}{%
  \forest@generic@parent@child@anchor{parent }{#1}}
\pgfdeclaregenericanchor{child anchor}{%
  \forest@generic@parent@child@anchor{child }{#1}}
\pgfdeclaregenericanchor{anchor}{%
  \forest@generic@parent@child@anchor{}{#1}}
\def\forest@generic@parent@child@anchor#1#2{%
  \forestOget{\forest@node@Nametoid{\pgfreferencednodename}}{#1anchor}\forest@temp@parent@anchor
  \ifdefempty\forest@temp@parent@anchor{%
    \pgf@sh@reanchor{#2}{center}%
    \xdef\forest@hack@tikzshapeborder{%
      \noexpand\tikz@shapebordertrue
      \def\noexpand\tikz@shapeborder@name{\pgfreferencednodename}%
    }\aftergroup\forest@hack@tikzshapeborder
  }{%
    \pgf@sh@reanchor{#2}{\forest@temp@parent@anchor}%
  }%
}
\newdimen\forest@xg
\newdimen\forest@yg
\newdimen\forest@xs
\newdimen\forest@ys
\def\forest@setupgrowline#1{%
  \edef\forest@grow{#1}%
  \pgfpointpolar\forest@grow{1pt}%
  \forest@xg=\pgf@x
  \forest@yg=\pgf@y
  \forest@xs=-\pgf@y
  \forest@ys=\pgf@x
}
\def\forest@pgfpointprojectiontogrowline#1{{%
  \pgf@process{#1}%
  \pgfutil@tempdima=\pgf@sys@tonumber{\pgf@x}\forest@xg%
  \advance\pgfutil@tempdima by\pgf@sys@tonumber{\pgf@y}\forest@yg%
  \global\pgf@x=\pgf@sys@tonumber{\pgfutil@tempdima}\forest@xg%
  \global\pgf@y=\pgf@sys@tonumber{\pgfutil@tempdima}\forest@yg%
}}
\def\forest@distancetogrowline#1#2{%
  \pgf@process{#2}%
  #1=\pgf@sys@tonumber{\pgf@x}\forest@xs\relax
  \advance#1 by\pgf@sys@tonumber{\pgf@y}\forest@ys\relax
}
\let\forest@pp@n\relax
\def\forest@projectpathtogrowline#1#2{%
  \edef\forest@pp@prefix{#2}%
  \forest@save@pgfsyssoftpath@tokendefs
  \let\pgfsyssoftpath@movetotoken\forest@projectpath@processpoint
  \let\pgfsyssoftpath@linetotoken\forest@projectpath@processpoint
  \c@pgf@counta=0
  #1%
  \csedef{#2n}{\the\c@pgf@counta}%
  \forest@restore@pgfsyssoftpath@tokendefs
}
\def\forest@projectpath@processpoint#1#2{%
  \pgfqpoint{#1}{#2}%
  \expandafter\edef\csname\forest@pp@prefix\the\c@pgf@counta xo\endcsname{\the\pgf@x}%
  \expandafter\edef\csname\forest@pp@prefix\the\c@pgf@counta yo\endcsname{\the\pgf@y}%
  \forest@pgfpointprojectiontogrowline{}%
  \expandafter\edef\csname\forest@pp@prefix\the\c@pgf@counta xp\endcsname{\the\pgf@x}%
  \expandafter\edef\csname\forest@pp@prefix\the\c@pgf@counta yp\endcsname{\the\pgf@y}%
  \advance\c@pgf@counta 1\relax
}
\def\forest@sortprojections#1{%
  % todo: optimize in cases when we know that the array is actually a
  % merger of sorted arrays; when does this happen? in
  % distance_between_paths, and when merging the edges of the parent
  % and its children in a uniform growth tree
  \edef\forest@ppi@inputprefix{#1}%
  \c@pgf@counta=\csname#1n\endcsname\relax
  \advance\c@pgf@counta -1
  \forest@sort\forest@ppiraw@cmp\forest@ppiraw@let\forest@sort@ascending{0}{\the\c@pgf@counta}%
}
\def\forest@processprojectioninfo#1#2{%
  \edef\forest@ppi@inputprefix{#1}%
  \c@pgf@counta=0
  \c@pgf@countb=-1
  \loop
  \ifnum\c@pgf@counta<\csname#1n\endcsname\relax
    \letcs\forest@xo{#1\the\c@pgf@counta xo}%
    \letcs\forest@yo{#1\the\c@pgf@counta yo}%
    \letcs\forest@xp{#1\the\c@pgf@counta xp}%
    \letcs\forest@yp{#1\the\c@pgf@counta yp}%
    \ifnum\c@pgf@countb<0
      \forest@equaltotolerancefalse
    \else
      \forest@equaltotolerance
        {\pgfqpoint\forest@xp\forest@yp}%
        {\pgfqpoint
          {\csname#2\the\c@pgf@countb x\endcsname}%
          {\csname#2\the\c@pgf@countb y\endcsname}%
        }%
    \fi
    \ifforest@equaltotolerance\else
      \advance\c@pgf@countb 1
      \cslet{#2\the\c@pgf@countb x}\forest@xp
      \cslet{#2\the\c@pgf@countb y}\forest@yp
      \csdef{#2\the\c@pgf@countb @n}{0}%
    \fi
    % todo: this is ugly!
    \ifdefined\forest@xo\ifx\forest@xo\relax\else
      \ifdefined\forest@yo\ifx\forest@yo\relax\else
        \forest@append@point@to@inner@array
          \forest@xo\forest@yo
          {#2\the\c@pgf@countb @}%
        \csedef{#2(\forest@xo,\forest@yo)}{\the\c@pgf@countb}%
      \fi\fi
    \fi\fi
    \cslet{#1\the\c@pgf@counta xo}\relax
    \cslet{#1\the\c@pgf@counta yo}\relax
    \cslet{#1\the\c@pgf@counta xp}\relax
    \cslet{#1\the\c@pgf@counta yp}\relax
    \advance\c@pgf@counta 1
  \repeat
  \cslet{#1n}\relax
  \advance\c@pgf@countb 1
  \csedef{#2n}{\the\c@pgf@countb}%
}
\def\forest@ppiraw@let#1#2{%
  \csletcs{\forest@ppi@inputprefix#1xo}{\forest@ppi@inputprefix#2xo}%
  \csletcs{\forest@ppi@inputprefix#1yo}{\forest@ppi@inputprefix#2yo}%
  \csletcs{\forest@ppi@inputprefix#1xp}{\forest@ppi@inputprefix#2xp}%
  \csletcs{\forest@ppi@inputprefix#1yp}{\forest@ppi@inputprefix#2yp}%
}
\def\forest@ppiraw@cmp#1#2{%
  \forest@sort@cmptwodimcs
    {\forest@ppi@inputprefix#1xp}{\forest@ppi@inputprefix#1yp}%
    {\forest@ppi@inputprefix#2xp}{\forest@ppi@inputprefix#2yp}%
}
\def\forest@append@point@to@inner@array#1#2#3{%
  \c@pgf@countc=\csname#3n\endcsname\relax
  \csedef{#3\the\c@pgf@countc x}{#1}%
  \csedef{#3\the\c@pgf@countc y}{#2}%
  \forest@distancetogrowline\pgfutil@tempdima{\pgfqpoint#1#2}%
  \csedef{#3\the\c@pgf@countc d}{\the\pgfutil@tempdima}%
  \advance\c@pgf@countc 1
  \csedef{#3n}{\the\c@pgf@countc}%
}
\def\forest@breakpath#1#2#3{%
  \edef\forest@bp@prefix{#2}%
  \forest@save@pgfsyssoftpath@tokendefs
  \let\pgfsyssoftpath@movetotoken\forest@breakpath@processfirstpoint
  \let\pgfsyssoftpath@linetotoken\forest@breakpath@processfirstpoint
  %\pgfusepath{}% empty the current path. ok?
  #1%
  \forest@restore@pgfsyssoftpath@tokendefs
  \pgfsyssoftpath@getcurrentpath#3%
}
\def\forest@breakpath@processfirstpoint#1#2{%
  \forest@breakpath@processmoveto{#1}{#2}%
  \let\pgfsyssoftpath@movetotoken\forest@breakpath@processmoveto
  \let\pgfsyssoftpath@linetotoken\forest@breakpath@processlineto
}
\def\forest@breakpath@processmoveto#1#2{%
  \pgfsyssoftpath@moveto{#1}{#2}%
  \def\forest@previous@x{#1}%
  \def\forest@previous@y{#2}%
  \expandafter\let\expandafter\forest@previous@i
    \csname\forest@bp@prefix(#1,#2)\endcsname
  \expandafter\let\expandafter\forest@previous@px
    \csname\forest@bp@prefix\forest@previous@i x\endcsname
  \expandafter\let\expandafter\forest@previous@py
    \csname\forest@bp@prefix\forest@previous@i y\endcsname
}
\def\forest@breakpath@processlineto#1#2{%
  \let\forest@breakpath@op\pgfsyssoftpath@lineto
  \expandafter\let\expandafter\forest@i
    \csname\forest@bp@prefix(#1,#2)\endcsname
  \expandafter\let\expandafter\forest@px
    \csname\forest@bp@prefix\forest@i x\endcsname
  \expandafter\let\expandafter\forest@py
    \csname\forest@bp@prefix\forest@i y\endcsname
  \forest@equaltotolerance
    {\pgfqpoint{\forest@previous@px}{\forest@previous@py}}%
    {\pgfqpoint{\forest@px}{\forest@py}}%
  \ifforest@equaltotolerance
    \let\forest@breakpath@op\pgfsyssoftpath@moveto
  \else
    \forest@temp@count=\forest@previous@i\relax
    \ifnum\forest@previous@i<\forest@i\relax
      \def\forest@breakpath@step{1}%
      \def\forest@breakpath@test{\forest@temp@count<\forest@i\relax}%
    \else
      \def\forest@breakpath@step{-1}%
      \def\forest@breakpath@test{\forest@temp@count>\forest@i\relax}%
    \fi
    \loop
      \advance\forest@temp@count\forest@breakpath@step\relax
    \expandafter\ifnum\forest@breakpath@test
      \pgfpointintersectionoflines
        {\pgfqpoint
          {\csname\forest@bp@prefix\the\forest@temp@count x\endcsname}%
          {\csname\forest@bp@prefix\the\forest@temp@count y\endcsname}%
        }%
        {\pgfpointadd
          {\pgfqpoint
            {\csname\forest@bp@prefix\the\forest@temp@count x\endcsname}%
            {\csname\forest@bp@prefix\the\forest@temp@count y\endcsname}%
          }%
          {\pgfqpoint{\forest@xs}{\forest@ys}}%
        }%
        {\pgfqpoint{\forest@previous@x}{\forest@previous@y}}%
        {\pgfqpoint{#1}{#2}}%
      \pgfgetlastxy\forest@last@x\forest@last@y
      \pgfsyssoftpath@lineto\forest@last@x\forest@last@y
      \forest@append@point@to@inner@array
        \forest@last@x\forest@last@y
        {\forest@bp@prefix\the\forest@temp@count @}%
      \csedef{\forest@bp@prefix(\the\pgf@x,\the\pgf@y)}{\the\forest@temp@count}%
    \repeat
  \fi
  \forest@breakpath@op{#1}{#2}%
  \def\forest@previous@x{#1}%
  \def\forest@previous@y{#2}%
  \let\forest@previous@i\forest@i
  \let\forest@previous@px\forest@px
  \let\forest@previous@py\forest@py
}
\def\forest@getnegativetightedgeofpath#1#2{%
  \forest@get@onetightedgeofpath#1\forest@sort@ascending#2}
\def\forest@getpositivetightedgeofpath#1#2{%
  \forest@get@onetightedgeofpath#1\forest@sort@descending#2}
\def\forest@get@onetightedgeofpath#1#2#3{%
  {%
    \forest@get@one@tightedgeofpath#1#2\forest@gep@edge
    \global\let\forest@gep@global@edge\forest@gep@edge
  }%
  \let#3\forest@gep@global@edge
}
\def\forest@get@one@tightedgeofpath#1#2#3{%
  \forest@projectpathtogrowline#1{forest@pp@}%
  \forest@sortprojections{forest@pp@}%
  \forest@processprojectioninfo{forest@pp@}{forest@pi@}%
  \forest@breakpath#1{forest@pi@}\forest@brokenpath
  \forest@sort@inner@arrays{forest@pi@}#2%
  \forest@pathtodict\forest@brokenpath{forest@pi@}%
  \forest@gettightedgeofpath@getedge
  \pgfsyssoftpath@getcurrentpath\forest@edge
  \forest@simplifypath\forest@edge#3%
}
\def\forest@getbothtightedgesofpath#1#2#3{%
  {%
    \forest@get@one@tightedgeofpath#1\forest@sort@ascending\forest@gep@firstedge
    \c@pgf@counta=0
    \loop
    \ifnum\c@pgf@counta<\forest@pi@n\relax
      \forest@ppi@deflet{forest@pi@\the\c@pgf@counta @}%
      \forest@reversearray\forest@ppi@let
        {0}%
        {\csname forest@pi@\the\c@pgf@counta @n\endcsname}%
      \advance\c@pgf@counta 1
    \repeat
    \forest@gettightedgeofpath@getedge
    \pgfsyssoftpath@getcurrentpath\forest@edge
    \forest@simplifypath\forest@edge\forest@gep@secondedge
      \global\let\forest@gep@global@firstedge\forest@gep@firstedge
      \global\let\forest@gep@global@secondedge\forest@gep@secondedge
    }%
  \let#2\forest@gep@global@firstedge
  \let#3\forest@gep@global@secondedge
}
\def\forest@sort@inner@arrays#1#2{%
  \c@pgf@counta=0
  \forest@loopa
  \ifnum\c@pgf@counta<\csname#1n\endcsname
    \c@pgf@countb=\csname#1\the\c@pgf@counta @n\endcsname\relax
    \ifnum\c@pgf@countb>1
      \advance\c@pgf@countb -1
      \forest@ppi@deflet{#1\the\c@pgf@counta @}%
      \forest@ppi@defcmp{#1\the\c@pgf@counta @}%
      \forest@sort\forest@ppi@cmp\forest@ppi@let#2{0}{\the\c@pgf@countb}%
    \fi
    \advance\c@pgf@counta 1
  \forest@repeata
}
\def\forest@ppi@deflet#1{%
  \edef\forest@ppi@let##1##2{%
    \noexpand\csletcs{#1##1x}{#1##2x}%
    \noexpand\csletcs{#1##1y}{#1##2y}%
    \noexpand\csletcs{#1##1d}{#1##2d}%
  }%
}
\def\forest@ppi@defcmp#1{%
  \edef\forest@ppi@cmp##1##2{%
    \noexpand\forest@sort@cmpdimcs{#1##1d}{#1##2d}%
  }%
}
\let\forest@inpath\advance
\def\forest@pathtodict#1#2{%
  \edef\forest@pathtodict@prefix{#2}%
  \forest@save@pgfsyssoftpath@tokendefs
  \let\pgfsyssoftpath@movetotoken\forest@pathtodict@movetoop
  \let\pgfsyssoftpath@linetotoken\forest@pathtodict@linetoop
  \def\forest@pathtodict@subpathstart{}%
  #1%
  \forest@restore@pgfsyssoftpath@tokendefs
}
\def\forest@pathtodict@movetoop#1#2{%
  \def\forest@pathtodict@subpathstart{(#1,#2)-}%
}
\def\forest@pathtodict@linetoop#1#2{%
\if\relax\forest@pathtodict@subpathstart\relax\else
    \let\forest@pathtodict@from\forest@pathtodict@subpathstart
  \fi
  \expandafter\let\csname\forest@pathtodict@prefix\forest@pathtodict@from-(#1,#2)\endcsname\forest@inpath
  \def\forest@pathtodict@from{(#1,#2)-}%
  \def\forest@pathtodict@subpathstart{}%
}
\def\forest@gettightedgeofpath@getedge{%
  \pgfsyssoftpath@setcurrentpath\pgfutil@empty
  \let\forest@last@x\relax
  \let\forest@last@y\relax
  \c@pgf@counta=0
  \forest@temp@count=\forest@pi@n\relax
  \advance\forest@temp@count -1
  \edef\forest@nminusone{\the\forest@temp@count}%
  \forest@loopa
  \ifnum\c@pgf@counta<\forest@nminusone\relax
    \forest@gettightedgeofpath@getedge@loopa
  \forest@repeata
  \ifnum\forest@nminusone<\forest@n\relax\else
    \ifnum\csname forest@pi@\forest@nminusone @n\endcsname>0
      \forest@gettightedgeofpath@maybemoveto{\forest@nminusone}{0}%
    \fi
  \fi
}
\def\forest@gettightedgeofpath@getedge@loopa{%
    \ifnum\csname forest@pi@\the\c@pgf@counta @n\endcsname>0
      \forest@gettightedgeofpath@maybemoveto{\the\c@pgf@counta}{0}%
      \c@pgf@countb=0
      \forest@loopb
      \ifnum\c@pgf@countb<\csname forest@pi@\the\c@pgf@counta @n\endcsname\relax
        \forest@gettightedgeofpath@getedge@loopb
      \forest@repeatb
    \fi
    \advance\c@pgf@counta 1
}
\def\forest@gettightedgeofpath@getedge@loopb{%
        \c@pgf@countc=0
        \advance\c@pgf@counta 1
        \edef\forest@aplusone{\the\c@pgf@counta}%
        \advance\c@pgf@counta -1
        \forest@loopc
        \ifnum\c@pgf@countc<\csname forest@pi@\forest@aplusone @n\endcsname\relax
          \forest@tempfalse
          \expandafter\ifx\csname forest@pi@(%
            \csname forest@pi@\the\c@pgf@counta @\the\c@pgf@countb x\endcsname,%
            \csname forest@pi@\the\c@pgf@counta @\the\c@pgf@countb y\endcsname)--(%
            \csname forest@pi@\forest@aplusone @\the\c@pgf@countc x\endcsname,%
            \csname forest@pi@\forest@aplusone @\the\c@pgf@countc y\endcsname)%
            \endcsname\forest@inpath
            \forest@temptrue
          \else
            \expandafter\ifx\csname forest@pi@(%
              \csname forest@pi@\forest@aplusone @\the\c@pgf@countc x\endcsname,%
              \csname forest@pi@\forest@aplusone @\the\c@pgf@countc y\endcsname)--(%
              \csname forest@pi@\the\c@pgf@counta @\the\c@pgf@countb x\endcsname,%
              \csname forest@pi@\the\c@pgf@counta @\the\c@pgf@countb y\endcsname)%
              \endcsname\forest@inpath
              \forest@temptrue
            \fi
          \fi
          \ifforest@temp
            \forest@gettightedgeofpath@maybemoveto{\the\c@pgf@counta}{\the\c@pgf@countb}%
            \edef\forest@last@x{%
              \csname forest@pi@\forest@aplusone @\the\c@pgf@countc x\endcsname}%
            \edef\forest@last@y{%
              \csname forest@pi@\forest@aplusone @\the\c@pgf@countc y\endcsname}%
            \pgfsyssoftpath@lineto\forest@last@x\forest@last@y
            \c@pgf@countc=\csname forest@pi@\forest@aplusone @n\endcsname
            \c@pgf@countb=\csname forest@pi@\the\c@pgf@counta @n\endcsname
          \fi
          \advance\c@pgf@countc 1
        \forest@repeatc
        \advance\c@pgf@countb 1
}
\def\forest@gettightedgeofpath@maybemoveto#1#2{%
  \forest@temptrue
  \ifx\forest@last@x\relax\else
    \ifdim\forest@last@x=\csname forest@pi@#1@#2x\endcsname\relax
      \ifdim\forest@last@y=\csname forest@pi@#1@#2y\endcsname\relax
        \forest@tempfalse
      \fi
    \fi
  \fi
  \ifforest@temp
    \edef\forest@last@x{\csname forest@pi@#1@#2x\endcsname}%
    \edef\forest@last@y{\csname forest@pi@#1@#2y\endcsname}%
    \pgfsyssoftpath@moveto\forest@last@x\forest@last@y
  \fi
}
\def\forest@simplifypath#1#2{%
  \pgfsyssoftpath@setcurrentpath\pgfutil@empty
  \forest@save@pgfsyssoftpath@tokendefs
  \let\pgfsyssoftpath@movetotoken\forest@simplifypath@moveto
  \let\pgfsyssoftpath@linetotoken\forest@simplifypath@lineto
  \let\forest@last@x\relax
  \let\forest@last@y\relax
  \let\forest@last@atan\relax
  #1%
  \ifx\forest@last@x\relax\else
    \ifx\forest@last@atan\relax\else
      \pgfsyssoftpath@lineto\forest@last@x\forest@last@y
    \fi
  \fi
  \forest@restore@pgfsyssoftpath@tokendefs
  \pgfsyssoftpath@getcurrentpath#2%
}
\def\forest@simplifypath@moveto#1#2{%
  \ifx\forest@last@x\relax\else
    \pgfsyssoftpath@lineto\forest@last@x\forest@last@y
  \fi
  \pgfsyssoftpath@moveto{#1}{#2}%
  \def\forest@last@x{#1}%
  \def\forest@last@y{#2}%
  \let\forest@last@atan\relax
}
\def\forest@getedgeofpath@precision{1pt}
\def\forest@simplifypath@lineto#1#2{%
  \ifx\forest@last@x\relax
    \def\forest@last@x{#1}%
    \def\forest@last@y{#2}%
    \let\forest@last@atan\relax
  \else
    \pgfpointdiff{\pgfqpoint{#1}{#2}}{\pgfqpoint{\forest@last@x}{\forest@last@y}}%
    \ifdim\pgf@x<\pgfintersectiontolerance
      \ifdim-\pgf@x<\pgfintersectiontolerance
        \pgf@x=0pt
      \fi
    \fi
    \csname pgfmathatan2\endcsname{\pgf@x}{\pgf@y}%
    \let\forest@current@atan\pgfmathresult
    \ifx\forest@last@atan\relax
      \def\forest@last@x{#1}%
      \def\forest@last@y{#2}%
      \let\forest@last@atan\forest@current@atan
    \else
      \pgfutil@tempdima=\forest@current@atan pt
      \advance\pgfutil@tempdima -\forest@last@atan pt
      \ifdim\pgfutil@tempdima<0pt\relax
        \multiply\pgfutil@tempdima -1
      \fi
      \ifdim\pgfutil@tempdima<\forest@getedgeofpath@precision\relax
      \else
        \pgfsyssoftpath@lineto\forest@last@x\forest@last@y
        \let\forest@last@atan\forest@current@atan
      \fi
      \def\forest@last@x{#1}%
      \def\forest@last@y{#2}%
    \fi
  \fi
}
\def\forest@getnegativerectangleedgeofpath#1#2{%
  \forest@getnegativerectangleorbandedgeofpath{#1}{#2}{\the\pgf@xb}}
\def\forest@getpositiverectangleedgeofpath#1#2{%
  \forest@getpositiverectangleorbandedgeofpath{#1}{#2}{\the\pgf@xb}}
\def\forest@getbothrectangleedgesofpath#1#2#3{%
  \forest@getbothrectangleorbandedgesofpath{#1}{#2}{#3}{\the\pgf@xb}}
\def\forest@bandlength{5000pt} % something large (ca. 180cm), but still manageable for TeX without producing `too large' errors
\def\forest@getnegativebandedgeofpath#1#2{%
  \forest@getnegativerectangleorbandedgeofpath{#1}{#2}{\forest@bandlength}}
\def\forest@getpositivebandedgeofpath#1#2{%
  \forest@getpositiverectangleorbandedgeofpath{#1}{#2}{\forest@bandlength}}
\def\forest@getbothbandedgesofpath#1#2#3{%
  \forest@getbothrectangleorbandedgesofpath{#1}{#2}{#3}{\forest@bandlength}}
\def\forest@getnegativerectangleorbandedgeofpath#1#2#3{%
  \forest@path@getboundingrectangle@ls#1{\forest@grow}%
  \edef\forest@gre@path{%
    \noexpand\pgfsyssoftpath@movetotoken{\the\pgf@xa}{\the\pgf@ya}%
    \noexpand\pgfsyssoftpath@linetotoken{#3}{\the\pgf@ya}%
  }%
  {%
    \pgftransformreset
    \pgftransformrotate{\forest@grow}%
    \forest@pgfpathtransformed\forest@gre@path
  }%
  \pgfsyssoftpath@getcurrentpath#2%
}
\def\forest@getpositiverectangleorbandedgeofpath#1#2#3{%
  \forest@path@getboundingrectangle@ls#1{\forest@grow}%
  \edef\forest@gre@path{%
    \noexpand\pgfsyssoftpath@movetotoken{\the\pgf@xa}{\the\pgf@yb}%
    \noexpand\pgfsyssoftpath@linetotoken{#3}{\the\pgf@yb}%
  }%
  {%
    \pgftransformreset
    \pgftransformrotate{\forest@grow}%
    \forest@pgfpathtransformed\forest@gre@path
  }%
  \pgfsyssoftpath@getcurrentpath#2%
}
\def\forest@getbothrectangleorbandedgesofpath#1#2#3#4{%
  \forest@path@getboundingrectangle@ls#1{\forest@grow}%
  \edef\forest@gre@negpath{%
    \noexpand\pgfsyssoftpath@movetotoken{\the\pgf@xa}{\the\pgf@ya}%
    \noexpand\pgfsyssoftpath@linetotoken{#4}{\the\pgf@ya}%
  }%
  \edef\forest@gre@pospath{%
    \noexpand\pgfsyssoftpath@movetotoken{\the\pgf@xa}{\the\pgf@yb}%
    \noexpand\pgfsyssoftpath@linetotoken{#4}{\the\pgf@yb}%
  }%
  {%
    \pgftransformreset
    \pgftransformrotate{\forest@grow}%
    \forest@pgfpathtransformed\forest@gre@negpath
  }%
  \pgfsyssoftpath@getcurrentpath#2%
  {%
    \pgftransformreset
    \pgftransformrotate{\forest@grow}%
    \forest@pgfpathtransformed\forest@gre@pospath
  }%
  \pgfsyssoftpath@getcurrentpath#3%
}
\def\forest@distance@between@edge@paths#1#2#3{%
  % #1, #2 = (edge) paths
  %
  % project paths
  \forest@projectpathtogrowline#1{forest@p1@}%
  \forest@projectpathtogrowline#2{forest@p2@}%
  % merge projections (the lists are sorted already, because edge
  % paths are |sorted|)
  \forest@dbep@mergeprojections
    {forest@p1@}{forest@p2@}%
    {forest@P1@}{forest@P2@}%
  % process projections
  \forest@processprojectioninfo{forest@P1@}{forest@PI1@}%
  \forest@processprojectioninfo{forest@P2@}{forest@PI2@}%
  % break paths
  \forest@breakpath#1{forest@PI1@}\forest@broken@one
  \forest@breakpath#2{forest@PI2@}\forest@broken@two
  % sort inner arrays ---optimize: it's enough to find max and min
  \forest@sort@inner@arrays{forest@PI1@}\forest@sort@descending
  \forest@sort@inner@arrays{forest@PI2@}\forest@sort@ascending
  % compute the distance
  \let\forest@distance\relax
  \c@pgf@countc=0
  \loop
  \ifnum\c@pgf@countc<\csname forest@PI1@n\endcsname\relax
    \ifnum\csname forest@PI1@\the\c@pgf@countc @n\endcsname=0 \else
      \ifnum\csname forest@PI2@\the\c@pgf@countc @n\endcsname=0 \else
        \pgfutil@tempdima=\csname forest@PI2@\the\c@pgf@countc @0d\endcsname\relax
        \advance\pgfutil@tempdima -\csname forest@PI1@\the\c@pgf@countc @0d\endcsname\relax
        \ifx\forest@distance\relax
          \edef\forest@distance{\the\pgfutil@tempdima}%
        \else
          \ifdim\pgfutil@tempdima<\forest@distance\relax
            \edef\forest@distance{\the\pgfutil@tempdima}%
          \fi
        \fi
      \fi
    \fi
    \advance\c@pgf@countc 1
  \repeat
  \let#3\forest@distance
}
  % merge projections: we need two projection arrays, both containing
  % projection points from both paths, but each with the original
  % points from only one path
\def\forest@dbep@mergeprojections#1#2#3#4{%
  % TODO: optimize: v bistvu ni treba sortirat, ker je edge path že sortiran
  \forest@sortprojections{#1}%
  \forest@sortprojections{#2}%
  \c@pgf@counta=0
  \c@pgf@countb=0
  \c@pgf@countc=0
  \edef\forest@input@prefix@one{#1}%
  \edef\forest@input@prefix@two{#2}%
  \edef\forest@output@prefix@one{#3}%
  \edef\forest@output@prefix@two{#4}%
  \forest@dbep@mp@iterate
  \csedef{#3n}{\the\c@pgf@countc}%
  \csedef{#4n}{\the\c@pgf@countc}%
}
\def\forest@dbep@mp@iterate{%
  \let\forest@dbep@mp@next\forest@dbep@mp@iterate
  \ifnum\c@pgf@counta<\csname\forest@input@prefix@one n\endcsname\relax
    \ifnum\c@pgf@countb<\csname\forest@input@prefix@two n\endcsname\relax
      \let\forest@dbep@mp@next\forest@dbep@mp@do
    \else
      \let\forest@dbep@mp@next\forest@dbep@mp@iteratefirst
    \fi
  \else
    \ifnum\c@pgf@countb<\csname\forest@input@prefix@two n\endcsname\relax
      \let\forest@dbep@mp@next\forest@dbep@mp@iteratesecond
    \else
      \let\forest@dbep@mp@next\relax
    \fi
  \fi
  \forest@dbep@mp@next
}
\def\forest@dbep@mp@do{%
  \forest@sort@cmptwodimcs%
    {\forest@input@prefix@one\the\c@pgf@counta xp}%
    {\forest@input@prefix@one\the\c@pgf@counta yp}%
    {\forest@input@prefix@two\the\c@pgf@countb xp}%
    {\forest@input@prefix@two\the\c@pgf@countb yp}%
  \if\forest@sort@cmp@result=%
    \forest@dbep@mp@@store@p\forest@input@prefix@one\c@pgf@counta
    \forest@dbep@mp@@store@o\forest@input@prefix@one
        \c@pgf@counta\forest@output@prefix@one
    \forest@dbep@mp@@store@o\forest@input@prefix@two
        \c@pgf@countb\forest@output@prefix@two
    \advance\c@pgf@counta 1
    \advance\c@pgf@countb 1
  \else
    \if\forest@sort@cmp@result>%
      \forest@dbep@mp@@store@p\forest@input@prefix@two\c@pgf@countb
      \forest@dbep@mp@@store@o\forest@input@prefix@two
          \c@pgf@countb\forest@output@prefix@two
      \advance\c@pgf@countb 1
    \else%<
      \forest@dbep@mp@@store@p\forest@input@prefix@one\c@pgf@counta
      \forest@dbep@mp@@store@o\forest@input@prefix@one
          \c@pgf@counta\forest@output@prefix@one
      \advance\c@pgf@counta 1
    \fi
  \fi
  \advance\c@pgf@countc 1
  \forest@dbep@mp@iterate
}
\def\forest@dbep@mp@@store@p#1#2{%
  \csletcs
    {\forest@output@prefix@one\the\c@pgf@countc xp}%
    {#1\the#2xp}%
  \csletcs
    {\forest@output@prefix@one\the\c@pgf@countc yp}%
    {#1\the#2yp}%
  \csletcs
    {\forest@output@prefix@two\the\c@pgf@countc xp}%
    {#1\the#2xp}%
  \csletcs
    {\forest@output@prefix@two\the\c@pgf@countc yp}%
    {#1\the#2yp}%
}
\def\forest@dbep@mp@@store@o#1#2#3{%
  \csletcs{#3\the\c@pgf@countc xo}{#1\the#2xo}%
  \csletcs{#3\the\c@pgf@countc yo}{#1\the#2yo}%
}
\def\forest@dbep@mp@iteratefirst{%
  \forest@dbep@mp@iterateone\forest@input@prefix@one\c@pgf@counta\forest@output@prefix@one
}
\def\forest@dbep@mp@iteratesecond{%
  \forest@dbep@mp@iterateone\forest@input@prefix@two\c@pgf@countb\forest@output@prefix@two
}
\def\forest@dbep@mp@iterateone#1#2#3{%
  \loop
  \ifnum#2<\csname#1n\endcsname\relax
    \forest@dbep@mp@@store@p#1#2%
    \forest@dbep@mp@@store@o#1#2#3%
    \advance\c@pgf@countc 1
    \advance#21
  \repeat
}
\newif\ifforest@equaltotolerance
\def\forest@equaltotolerance#1#2{{%
  \pgfpointdiff{#1}{#2}%
  \ifdim\pgf@x<0pt \multiply\pgf@x -1 \fi
  \ifdim\pgf@y<0pt \multiply\pgf@y -1 \fi
  \global\forest@equaltotolerancefalse
  \ifdim\pgf@x<\pgfintersectiontolerance\relax
    \ifdim\pgf@y<\pgfintersectiontolerance\relax
      \global\forest@equaltotolerancetrue
    \fi
  \fi
}}
\def\forest@save@pgfsyssoftpath@tokendefs{%
  \let\forest@origmovetotoken\pgfsyssoftpath@movetotoken
  \let\forest@origlinetotoken\pgfsyssoftpath@linetotoken
  \let\forest@origcurvetosupportatoken\pgfsyssoftpath@curvetosupportatoken
  \let\forest@origcurvetosupportbtoken\pgfsyssoftpath@curvetosupportbtoken
  \let\forest@origcurvetotoken\pgfsyssoftpath@curvetototoken
  \let\forest@origrectcornertoken\pgfsyssoftpath@rectcornertoken
  \let\forest@origrectsizetoken\pgfsyssoftpath@rectsizetoken
  \let\forest@origclosepathtoken\pgfsyssoftpath@closepathtoken
  \let\pgfsyssoftpath@movetotoken\forest@badtoken
  \let\pgfsyssoftpath@linetotoken\forest@badtoken
  \let\pgfsyssoftpath@curvetosupportatoken\forest@badtoken
  \let\pgfsyssoftpath@curvetosupportbtoken\forest@badtoken
  \let\pgfsyssoftpath@curvetototoken\forest@badtoken
  \let\pgfsyssoftpath@rectcornertoken\forest@badtoken
  \let\pgfsyssoftpath@rectsizetoken\forest@badtoken
  \let\pgfsyssoftpath@closepathtoken\forest@badtoken
}
\def\forest@badtoken{%
  \PackageError{forest}{This token should not be in this path}{}%
}
\def\forest@restore@pgfsyssoftpath@tokendefs{%
  \let\pgfsyssoftpath@movetotoken\forest@origmovetotoken
  \let\pgfsyssoftpath@linetotoken\forest@origlinetotoken
  \let\pgfsyssoftpath@curvetosupportatoken\forest@origcurvetosupportatoken
  \let\pgfsyssoftpath@curvetosupportbtoken\forest@origcurvetosupportbtoken
  \let\pgfsyssoftpath@curvetototoken\forest@origcurvetotoken
  \let\pgfsyssoftpath@rectcornertoken\forest@origrectcornertoken
  \let\pgfsyssoftpath@rectsizetoken\forest@origrectsizetoken
  \let\pgfsyssoftpath@closepathtoken\forest@origclosepathtoken
}
\def\forest@extendpath#1#2#3{%
  \pgf@process{#3}%
  \pgfsyssoftpath@setcurrentpath#1%
  \forest@save@pgfsyssoftpath@tokendefs
  \let\pgfsyssoftpath@movetotoken\forest@extendpath@moveto
  \let\pgfsyssoftpath@linetotoken\forest@extendpath@lineto
  #2%
  \forest@restore@pgfsyssoftpath@tokendefs
  \pgfsyssoftpath@getcurrentpath#1%
}
\def\forest@extendpath@moveto#1#2{%
  \forest@extendpath@do{#1}{#2}\pgfsyssoftpath@moveto
}
\def\forest@extendpath@lineto#1#2{%
  \forest@extendpath@do{#1}{#2}\pgfsyssoftpath@lineto
}
\def\forest@extendpath@do#1#2#3{%
  {%
    \advance\pgf@x #1
    \advance\pgf@y #2
    #3{\the\pgf@x}{\the\pgf@y}%
  }%
}
\def\forest@path@getboundingrectangle@ls#1#2{%
  {%
    \pgftransformreset
    \pgftransformrotate{-(#2)}%
    \forest@pgfpathtransformed#1%
  }%
  \pgfsyssoftpath@getcurrentpath\forest@gbr@rotatedpath
  \forest@path@getboundingrectangle@xy\forest@gbr@rotatedpath
}
\def\forest@path@getboundingrectangle@xy#1{%
  \forest@save@pgfsyssoftpath@tokendefs
  \let\pgfsyssoftpath@movetotoken\forest@gbr@firstpoint
  \let\pgfsyssoftpath@linetotoken\forest@gbr@firstpoint
  #1%
  \forest@restore@pgfsyssoftpath@tokendefs
}
\def\forest@gbr@firstpoint#1#2{%
  \pgf@xa=#1 \pgf@xb=#1 \pgf@ya=#2 \pgf@yb=#2
  \let\pgfsyssoftpath@movetotoken\forest@gbr@point
  \let\pgfsyssoftpath@linetotoken\forest@gbr@point
}
\def\forest@gbr@point#1#2{%
  \ifdim#1<\pgf@xa\relax\pgf@xa=#1 \fi
  \ifdim#1>\pgf@xb\relax\pgf@xb=#1 \fi
  \ifdim#2<\pgf@ya\relax\pgf@ya=#2 \fi
  \ifdim#2>\pgf@yb\relax\pgf@yb=#2 \fi
}
\newif\ifforesttikzcshack
\foresttikzcshacktrue
\newif\ifforest@install@keys@to@tikz@path@
\forest@install@keys@to@tikz@path@true
\forestset{package@options/.cd,
  external/.is if=forest@external@,
  tikzcshack/.is if=foresttikzcshack,
  tikzinstallkeys/.is if=forest@install@keys@to@tikz@path@,
}
\pgfkeys{/forest/external/.cd,
  copy command/.initial={cp "\source" "\target"},
  optimize/.is if=forest@external@optimize@,
  context/.initial={%
    \forestOve{\csname forest@id@of@standard node\endcsname}{environment@formula}},
  depends on macro/.style={context/.append/.expanded={%
      \expandafter\detokenize\expandafter{#1}}},
}
\def\forest@external@copy#1#2{%
  \pgfkeysgetvalue{/forest/external/copy command}\forest@copy@command
  \ifx\forest@copy@command\pgfkeysnovalue\else
    \IfFileExists{#1}{%
      {%
        \def\source{#1}%
        \def\target{#2}%
        \immediate\write18{\forest@copy@command}%
      }%
    }{}%
  \fi
}
\newif\ifforest@external@
\newif\ifforest@external@optimize@
\forest@external@optimize@true
\ProcessPgfPackageOptions{/forest/package@options}
\ifforest@install@keys@to@tikz@path@
  \tikzset{fit to tree/.style={/forest/fit to tree}}
\fi
\ifforest@external@
  \ifdefined\tikzexternal@tikz@replacement\else
    \usetikzlibrary{external}%
  \fi
  \pgfkeys{%
    /tikz/external/failed ref warnings for={},
    /pgf/images/aux in dpth=false,
  }%
  \tikzifexternalizing{}{%
    \forest@external@copy{\jobname.aux}{\jobname.aux.copy}%
  }%
  \AtBeginDocument{%
    \tikzifexternalizing{%
      \IfFileExists{\tikzexternalrealjob.aux.copy}{%
        \makeatletter
        \input \tikzexternalrealjob.aux.copy
        \makeatother
      }{}%
    }{%
      \newwrite\forest@auxout
      \immediate\openout\forest@auxout=\tikzexternalrealjob.for.tmp
    }%
    \IfFileExists{\tikzexternalrealjob.for}{%
      {%
        \makehashother\makeatletter
        \input \tikzexternalrealjob.for
      }%
    }{}%
  }%
  \AtEndDocument{%
    \tikzifexternalizing{}{%
      \immediate\closeout\forest@auxout
      \forest@external@copy{\jobname.for.tmp}{\jobname.for}%
    }%
  }%
\fi
\newenvironment{forest}{\pgfkeysalso{/forest/begin forest}\Collect@Body\forest@env}{}
\long\def\Forest{\pgfkeysalso{/forest/begin forest}\@ifnextchar*{\forest@nogroup}{\forest@group}}
\def\forest@group#1{{\forest@env{#1}}}
\def\forest@nogroup*#1{\forest@env{#1}}
\newif\ifforest@externalize@tree@
\newif\ifforest@was@tikzexternalwasenable
\long\def\forest@env#1{%
  \let\forest@external@next\forest@begin
  \forest@was@tikzexternalwasenablefalse
  \ifdefined\tikzexternal@tikz@replacement
    \ifx\tikz\tikzexternal@tikz@replacement
      \forest@was@tikzexternalwasenabletrue
      \tikzexternaldisable
    \fi
  \fi
  \forest@externalize@tree@false
  \ifforest@external@
    \ifforest@was@tikzexternalwasenable
      \tikzifexternalizing{%
        \let\forest@external@next\forest@begin@externalizing
      }{%
        \let\forest@external@next\forest@begin@externalize
      }%
    \fi
  \fi
  \forest@standardnode@calibrate
  \forest@external@next{#1}%
}
\long\def\forest@begin@externalizing#1{%
  \forest@external@setup{#1}%
  \let\forest@external@next\forest@begin
  \forest@externalize@inner@n=-1
  \ifforest@external@optimize@\forest@externalizing@maybeoptimize\fi
  \forest@external@next{#1}%
  \tikzexternalenable
}
\def\forest@externalizing@maybeoptimize{%
  \edef\forest@temp{\tikzexternalrealjob-forest-\forest@externalize@outer@n}%
  \edef\forest@marshal{%
    \noexpand\pgfutil@in@
      {\expandafter\detokenize\expandafter{\forest@temp}.}
      {\expandafter\detokenize\expandafter{\pgfactualjobname}.}%
  }\forest@marshal
  \ifpgfutil@in@
  \else
    \let\forest@external@next\@gobble
  \fi
}
\long\def\forest@begin@externalize#1{%
  \forest@external@setup{#1}%
  \iftikzexternal@file@isuptodate
    \setbox0=\hbox{%
      \csname forest@externalcheck@\forest@externalize@outer@n\endcsname
    }%
  \fi
  \iftikzexternal@file@isuptodate
    \csname forest@externalload@\forest@externalize@outer@n\endcsname
  \else
    \forest@externalize@tree@true
    \forest@externalize@inner@n=-1
    \forest@begin{#1}%
    \ifcsdef{forest@externalize@@\forest@externalize@id}{}{%
      \immediate\write\forest@auxout{%
        \noexpand\forest@external
        {\forest@externalize@outer@n}%
        {\expandafter\detokenize\expandafter{\forest@externalize@id}}%
        {\expandonce\forest@externalize@checkimages}%
        {\expandonce\forest@externalize@loadimages}%
      }%
    }%
  \fi
  \tikzexternalenable
}
\def\forest@includeexternal@check#1{%
  \tikzsetnextfilename{#1}%
  \IfFileExists{\tikzexternal@filenameprefix/#1}{\tikzexternal@file@isuptodatetrue}{\tikzexternal@file@isuptodatefalse}%
}
\def\makehashother{\catcode`\#=12}%
\long\def\forest@external@setup#1{%
  % set up \forest@externalize@id and \forest@externalize@outer@n
  % we need to deal with #s correctly (\write doubles them)
  \setbox0=\hbox{\makehashother\makeatletter
    \scantokens{\forest@temp@toks{#1}}\expandafter
  }%
  \expandafter\forest@temp@toks\expandafter{\the\forest@temp@toks}%
  \edef\forest@temp{\pgfkeysvalueof{/forest/external/context}}%
  \edef\forest@externalize@id{%
    \expandafter\detokenize\expandafter{\forest@temp}%
    @@%
    \expandafter\detokenize\expandafter{\the\forest@temp@toks}%
  }%
  \letcs\forest@externalize@outer@n{forest@externalize@@\forest@externalize@id}%
  \ifdefined\forest@externalize@outer@n
    \global\tikzexternal@file@isuptodatetrue
  \else
    \global\advance\forest@externalize@max@outer@n 1
    \edef\forest@externalize@outer@n{\the\forest@externalize@max@outer@n}%
    \global\tikzexternal@file@isuptodatefalse
  \fi
  \def\forest@externalize@loadimages{}%
  \def\forest@externalize@checkimages{}%
}
\newcount\forest@externalize@max@outer@n
\global\forest@externalize@max@outer@n=0
\newcount\forest@externalize@inner@n
\long\def\forest@external#1#2#3#4{% #1=n,#2=context+source code,#3=update check code, #4=load code
  \ifnum\forest@externalize@max@outer@n<#1
    \global\forest@externalize@max@outer@n=#1
  \fi
  \global\csdef{forest@externalize@@\detokenize{#2}}{#1}%
  \global\csdef{forest@externalcheck@#1}{#3}%
  \global\csdef{forest@externalload@#1}{#4}%
  \tikzifexternalizing{}{%
    \immediate\write\forest@auxout{%
      \noexpand\forest@external{#1}%
      {\expandafter\detokenize\expandafter{#2}}%
      {\unexpanded{#3}}%
      {\unexpanded{#4}}%
    }%
  }%
}
\def\forest@includeexternal#1{%
  \edef\forest@temp{\pgfkeysvalueof{/forest/external/context}}%
  \typeout{forest: Including external picture '#1' for forest context+code:
    '\expandafter\detokenize\expandafter{\forest@externalize@id}'}%
  {%
    %\def\pgf@declaredraftimage##1##2{\def\pgf@image{\hbox{}}}%
    \tikzsetnextfilename{#1}%
    \tikzexternalenable
    \tikz{}%
  }%
}
\def\forest@includeexternal@box#1#2{%
  \global\setbox#1=\hbox{\forest@includeexternal{#2}}%
}
\long\def\forest@begin#1{%
  \iffalse{\fi\forest@parsebracket#1}%
}
\def\forest@parsebracket{%
  \bracketParse{\forest@get@root@afterthought}\forest@root=%
}
\def\forest@get@root@afterthought{%
  \expandafter\forest@get@root@afterthought@\expandafter{\iffalse}\fi
}
\long\def\forest@get@root@afterthought@#1{%
  \ifblank{#1}{}{%
    \forestOeappto{\forest@root}{given options}{,afterthought={\unexpanded{#1}}}%
  }%
  \forest@do
}
\def\forest@do{%
  \forest@node@Compute@numeric@ts@info{\forest@root}%
  \forestset{process keylist=given options}%
  \forestset{stages}%
  \pgfkeysalso{/forest/end forest}%
  \ifforest@was@tikzexternalwasenable
    \tikzexternalenable
  \fi
}
\def\forest@standardnode@new{%
  \advance\forest@node@maxid1
  \forest@fornode{\the\forest@node@maxid}{%
    \forest@node@init
    \forest@node@setname{standard node}%
  }%
}
\def\forest@standardnode@calibrate{%
  \forest@fornode{\forest@node@Nametoid{standard node}}{%
    \edef\forest@environment{\forestove{environment@formula}}%
    \forestoget{previous@environment}\forest@previous@environment
    \ifx\forest@environment\forest@previous@environment\else
      \forestolet{previous@environment}\forest@environment
      \forest@node@typeset
      \forestoget{calibration@procedure}\forest@temp
      \expandafter\forestset\expandafter{\forest@temp}%
    \fi
  }%
}
\def\forestStandardNode[#1]#2#3#4{%
  \let\forest@standardnode@restoretikzexternal\relax
  \ifdefined\tikzexternaldisable
    \ifx\tikz\tikzexternal@tikz@replacement
      \tikzexternaldisable
      \let\forest@standardnode@restoretikzexternal\tikzexternalenable
    \fi
  \fi
  \forest@standardnode@new
  \forest@fornode{\forest@node@Nametoid{standard node}}{%
    \forestset{content=#1}%
    \forestoset{environment@formula}{#2}%
    \edef\forest@temp{\unexpanded{#3}}%
    \forestolet{calibration@procedure}\forest@temp
    \def\forest@calibration@initializing@code{}%
    \pgfqkeys{/forest/initializing@code}{#4}%
    \forestolet{initializing@code}\forest@calibration@initializing@code
    \forest@standardnode@restoretikzexternal
  }
}
\forestset{initializing@code/.unknown/.code={%
    \eappto\forest@calibration@initializing@code{%
      \noexpand\forestOget{\forest@node@Nametoid{standard node}}{\pgfkeyscurrentname}\noexpand\forest@temp
      \noexpand\forestolet{\pgfkeyscurrentname}\noexpand\forest@temp
    }%
  }
}
\def\forest@initializefromstandardnode{%
  \forestOve{\forest@node@Nametoid{standard node}}{initializing@code}%
}
\forestStandardNode[dj]
  {%
    \forestOve{\forest@node@Nametoid{standard node}}{content},%
    \the\ht\strutbox,\the\pgflinewidth,%
    \pgfkeysvalueof{/pgf/inner ysep},\pgfkeysvalueof{/pgf/outer ysep},%
    \pgfkeysvalueof{/pgf/inner xsep},\pgfkeysvalueof{/pgf/outer xsep}%
  }
  {
    l sep={\the\ht\strutbox+\pgfkeysvalueof{/pgf/inner ysep}},
    l={l_sep()+abs(max_y()-min_y())+2*\pgfkeysvalueof{/pgf/outer ysep}},
    s sep={2*\pgfkeysvalueof{/pgf/inner xsep}}
  }
  {l sep,l,s sep}
\pgfqkeys{/forest/@cs}{%
  name/.code={%
    \edef\forest@cn{\forest@node@Nametoid{#1}}%
    \forest@forestcs@resetxy},
  id/.code={%
    \edef\forest@cn{#1}%
    \forest@forestcs@resetxy},
  go/.code={%
    \forest@go{#1}%
    \forest@forestcs@resetxy},
  anchor/.code={\forest@forestcs@anchor{#1}},
  l/.code={%
    \pgfmathsetlengthmacro\forest@forestcs@l{#1}%
    \forest@forestcs@ls
  },
  s/.code={%
    \pgfmathsetlengthmacro\forest@forestcs@s{#1}%
    \forest@forestcs@ls
  },
  .unknown/.code={%
    \expandafter\pgfutil@in@\expandafter.\expandafter{\pgfkeyscurrentname}%
    \ifpgfutil@in@
      \expandafter\forest@forestcs@namegoanchor\pgfkeyscurrentname\forest@end
    \else
      \expandafter\forest@nameandgo\expandafter{\pgfkeyscurrentname}%
      \forest@forestcs@resetxy
    \fi
  }
}
\def\forest@forestcs@resetxy{%
  \ifnum\forest@cn=0
  \else
    \global\pgf@x\forestove{x}%
    \global\pgf@y\forestove{y}%
  \fi
}
\def\forest@forestcs@ls{%
  \ifdefined\forest@forestcs@l
    \ifdefined\forest@forestcs@s
      {%
        \pgftransformreset
        \pgftransformrotate{\forestove{grow}}%
        \pgfpointtransformed{\pgfpoint{\forest@forestcs@l}{\forest@forestcs@s}}%
      }%
      \global\advance\pgf@x\forestove{x}%
      \global\advance\pgf@y\forestove{y}%
    \fi
  \fi
}
\def\forest@forestcs@anchor#1{%
  \edef\forest@marshal{%
    \noexpand\forest@original@tikz@parse@node\relax
    (\forestove{name}\ifx\relax#1\relax\else.\fi#1)%
  }\forest@marshal
}
\def\forest@forestcs@namegoanchor#1.#2\forest@end{%
  \forest@nameandgo{#1}%
  \forest@forestcs@anchor{#2}%
}
\tikzdeclarecoordinatesystem{forest}{%
  \forest@forthis{%
    \forest@forestcs@resetxy
    \ifdefined\forest@forestcs@l\undef\forest@forestcs@l\fi
    \ifdefined\forest@forestcs@s\undef\forest@forestcs@s\fi
    \pgfqkeys{/forest/@cs}{#1}%
  }%
}
\endinput
%%
%% End of file `forest.sty'.