% Copyright 2024 by Qrrbrbirlbel
%
% This file may be distributed and/or modified
%
% 1. under the LaTeX Project Public License and/or
% 2. under the GNU Free Documentation License.
%
% This is the TikZ library positioning-plus
% Load with \usetikzlibrary{positioning-plus}
%
% This small library extends TikZ options like 'above', 'left' or 'below right'
% so that they can be used with an optional prefixed factor separated by ':' (colon)
%
% The option 'left=.5:of somenode' will place
% a new node .5cm (default 'node distance' is '1cm and 1cm') left to (somenode).
% The option 'above right=.2 and .7:of someothernode' will place
% a new node .2cm above and .7cm right of (someothernode).
%
% Additional the options 'xshift*' and 'yshift*' add an additional shift
% as a factor of 'node distance'
% Inspired by http://tex.stackexchange.com/a/117610/16595

\unless\ifcsname tikzextset\endcsname
  \input tikzext-util.tex
\fi

\usetikzlibrary{positioning}
\usetikzlibrary{fit}

\pgfdeclaregenericanchor{ext_corner south east}{%
  \pgf@sh@reanchor{#1}{south}%
  \pgf@ya\pgf@y
  \pgf@process{\pgf@sh@reanchor{#1}{east}}%
  \pgf@y\pgf@ya
}
\pgfdeclaregenericanchor{ext_corner north east}{%
  \pgf@sh@reanchor{#1}{north}%
  \pgf@ya\pgf@y
  \pgf@process{\pgf@sh@reanchor{#1}{east}}%
  \pgf@y\pgf@ya
}
\pgfdeclaregenericanchor{ext_corner south west}{%
  \pgf@sh@reanchor{#1}{south}%
  \pgf@ya\pgf@y
  \pgf@process{\pgf@sh@reanchor{#1}{west}}%
  \pgf@y\pgf@ya
}
\pgfdeclaregenericanchor{ext_corner north west}{%
  \pgf@sh@reanchor{#1}{north}%
  \pgf@ya\pgf@y
  \pgf@process{\pgf@sh@reanchor{#1}{west}}%
  \pgf@y\pgf@ya
}
\pgfdeclaregenericanchor{ext_text right}{%
  \pgf@sh@reanchor{#1}{base}%
  \multiply\pgf@x by 2
}
\newif\iftikzext@tikz@lib@place@postransform
\tikzextset{
  corner above  left/.code=\tikzext@posp@handle{#1}{ext_corner south east}{-1}{1}{ext_corner north west}{0.707106781},
  corner above right/.code=\tikzext@posp@handle{#1}{ext_corner south west}{1}{1}{ext_corner north east}{0.707106781},
  corner below  left/.code=\tikzext@posp@handle{#1}{ext_corner north east}{-1}{-1}{ext_corner south west}{0.707106781},
  corner below right/.code=\tikzext@posp@handle{#1}{ext_corner north west}{1}{-1}{ext_corner south east}{0.707106781},
  corner north  left/.code=\tikzext@posp@handle{#1}{ext_corner north east}{-1}{0}{ext_corner north west}{1},
  corner north right/.code=\tikzext@posp@handle{#1}{ext_corner north west}{1}{0}{ext_corner north east}{1},
  corner south  left/.code=\tikzext@posp@handle{#1}{ext_corner south east}{-1}{0}{ext_corner south west}{1},
  corner south right/.code=\tikzext@posp@handle{#1}{ext_corner south west}{1}{0}{ext_corner south east}{1},
  corner west  above/.code=\tikzext@posp@handle{#1}{ext_corner south west}{0}{1}{ext_corner north west}{1},
  corner west  below/.code=\tikzext@posp@handle{#1}{ext_corner north west}{0}{-1}{ext_corner south west}{1},
  corner east  above/.code=\tikzext@posp@handle{#1}{ext_corner south east}{0}{1}{ext_corner north east}{1},
  corner east  below/.code=\tikzext@posp@handle{#1}{ext_corner north east}{0}{-1}{ext_corner south east}{1},
         north  left/.code=\tikzext@posp@handle{#1}{north east}{-1}{0}{north west}{1},
         north right/.code=\tikzext@posp@handle{#1}{north west}{1}{0}{north east}{1},
         south  left/.code=\tikzext@posp@handle{#1}{south east}{-1}{0}{south west}{1},
         south right/.code=\tikzext@posp@handle{#1}{south west}{1}{0}{south east}{1},
         west  above/.code=\tikzext@posp@handle{#1}{south west}{0}{1}{north west}{1},
         west  below/.code=\tikzext@posp@handle{#1}{north west}{0}{-1}{south west}{1},
         east  above/.code=\tikzext@posp@handle{#1}{south east}{0}{1}{north east}{1},
         east  below/.code=\tikzext@posp@handle{#1}{north east}{0}{-1}{south east}{1},
         above  left/.code=\tikzext@posp@handle{#1}{south east}{-1}{1}{north west}{0.707106781},
         above right/.code=\tikzext@posp@handle{#1}{south west}{1}{1}{north east}{0.707106781},
         base   left/.code=\tikzext@posp@handle{#1}{base east}{-1}{0}{base west}{1},
         base  right/.code=\tikzext@posp@handle{#1}{base west}{1}{0}{base east}{1},
         below  left/.code=\tikzext@posp@handle{#1}{north east}{-1}{-1}{south west}{0.707106781},
         below right/.code=\tikzext@posp@handle{#1}{north west}{1}{-1}{south east}{0.707106781},
         mid    left/.code=\tikzext@posp@handle{#1}{mid east}{-1}{0}{mid west}{1},
         mid   right/.code=\tikzext@posp@handle{#1}{mid west}{1}{0}{mid east}{1},
               above/.code=\tikzext@posp@handle{#1}{south}{0}{1}{north}{1},
               below/.code=\tikzext@posp@handle{#1}{north}{0}{-1}{south}{1},
                left/.code=\tikzext@posp@handle{#1}{east}{-1}{0}{west}{1},
               right/.code=\tikzext@posp@handle{#1}{west}{1}{0}{east}{1},
  node distance transformation/.is if=tikzext@tikz@lib@place@postransform%
}
\def\tikzext@posp@handle#1#2#3#4#5#6{%
  \def\tikz@anchor{#2}%
  \let\tikz@do@auto@anchor\relax
  \edef\tikz@temp{#1}%
  \def\tikz@lib@place@single@factor{#6}%
  \pgfutil@in@{of }{#1}%
  \ifpgfutil@in@
    \tikzext@posp@of#1\tikz@stop{#3}{#4}{#5}%
  \else
    \def\tikzext@posp@xfactor{#3}%
    \def\tikzext@posp@yfactor{#4}%
    \edef\tikz@lib@place@nums{#1}%
  \fi
  %
  \unless\ifx\tikz@lib@place@nums\pgfutil@empty
    \expandafter\tikz@lib@place@parse@nums\expandafter{\tikz@lib@place@nums}%
    \pgf@x=\tikzext@posp@xfactor\pgf@x
    \pgf@y=\tikzext@posp@yfactor\pgf@y
    \iftikzext@tikz@lib@place@postransform
      \pgf@pos@transform{\pgf@x}{\pgf@y}% change from original
    \fi
    \edef\tikz@lib@pos@call{\noexpand\pgftransformshift{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}%
  \fi
}
\def\tikzext@posp@of#1of #2\tikz@stop#3#4#5{%
  \pgfutil@in@{:}{#1}%
  \ifpgfutil@in@
    \tikzext@posp@colon#1\tikz@stop{#3}{#4}%
  \else
    \tikzext@posp@colon1and1:#1\tikz@stop{#3}{#4}
  \fi
  \tikzext@posp@of@{#2}{#5}%
}
\def\tikzext@posp@colon#1:#2\tikz@stop#3#4{%
  \pgfutil@in@{and}{#1}%
  \ifpgfutil@in@
    \tikzext@posp@colon@#1\tikz@stop{#3}{#4}%
  \else
    \tikzext@posp@colon@#1and#1\tikz@stop{#3}{#4}%
  \fi
  \def\tikz@lib@place@nums{#2}%
  \ifx\tikz@lib@place@nums\pgfutil@empty
    \let\tikz@lib@place@nums\tikz@node@distance
  \fi
}
\def\tikzext@posp@colon@#1and#2\tikz@stop#3#4{%
  \pgfmathmultiply{#1}{#3}\let\tikzext@posp@xfactor\pgfmathresult
  \pgfmathmultiply{#2}{#4}\let\tikzext@posp@yfactor\pgfmathresult
}
\def\tikzext@posp@of@#1#2{%
  % #1: of part
  % #2: other anchor
  \def\tikzext@posp@scan{ext_fit bounding box}%
  \edef\tikzext@temp{\expandafter\tikzextutil@firstofmany#1\pgf@stop}%
  \if\tikzext@temp(%
    \tikzext@posp@fit{#1}{0}%
  \else\if\tikzext@temp|%
      \expandafter\tikzext@posp@fit\expandafter{\tikzextutil@secondofmany#1\pgf@stop}{1}%
    \else\ifx\tikzext@temp\tikz@activebar
        \expandafter\tikzext@posp@fit\expandafter{\tikzextutil@secondofmany#1\pgf@stop}{1}%
      \else\if\tikzext@temp-%
          \expandafter\tikzext@posp@fit\expandafter{\tikzextutil@secondofmany#1\pgf@stop}{2}%
        \else\if\tikzext@temp+%
            \expandafter\tikzext@posp@fit\expandafter{\tikzextutil@secondofmany#1\pgf@stop}{3}%
          \else
            \def\tikzext@posp@scan{#1}%
          \fi
        \fi
      \fi
    \fi
  \fi
  \expandafter\tikz@scan@one@point\expandafter\tikz@lib@place@remember\expandafter(\tikzext@posp@scan)% TODO: expandafters
  \iftikz@shapeborder%
    % Ok, this is relative to a border.
    \iftikz@lib@ignore@size%
      \edef\tikz@node@at{\noexpand\pgfpointanchor{\tikz@shapeborder@name}{center}}%
      \def\tikz@anchor{center}%
    \else%
      \edef\tikz@node@at{\noexpand\pgfpointanchor{\tikz@shapeborder@name}{#2}}%
    \fi%
  \fi%
}

\def\tikzext@posp@xyshift#1#2#3{%
  \edef\tikz@marshal{\noexpand\pgfutil@in@{and}{\tikz@node@distance}}%
  \tikz@marshal
  \ifpgfutil@in@
    \expandafter\tikzext@posp@handle@\tikz@node@distance\tikz@stop
  \else
    \let#3\tikz@node@distance
  \fi
  \pgfmathparse{(#1)*#3}%
  \ifpgfmathunitsdeclared
    \if#2x%
      \pgftransformshift{\pgfqpoint{\pgfmathresult pt}{0pt}}%
    \else
      \pgftransformshift{\pgfqpoint{0pt}{\pgfmathresult pt}}%
    \fi
  \else
    \ifx#2x%
      \pgf@process{\pgfqpointxy{\pgfmathresult}{0}}%
    \else
      \pgf@process{\pgfqpointxy{0}{\pgfmathresult}}%
    \fi
    \pgftransformshift{\pgfqpoint{\pgf@x}{\pgf@y}}%
  \fi
}
\def\tikzext@posp@xyshift@#1and#2\tikz@stop{%
  \def\pgf@tempb{#1}%
  \def\pgf@tempa{#2}%
}
\tikzextset{
  xshift*/.code=\tikzext@posp@xyshift{#1}x\pgf@tempb,
  yshift*/.code=\tikzext@posp@xyshift{#1}y\pgf@tempa
}
\def\tikzext@posp@fit#1#2{%
  \pgf@xb=-16000pt\relax%
  \pgf@xa=16000pt\relax%
  \pgf@yb=-16000pt\relax%
  \pgf@ya=16000pt\relax%
  \if\tikzextutil@firstofmany#1\pgf@stop(%
    \tikz@lib@fit@scan#1\pgf@stop%
  \else
    \tikz@lib@fit@scan(#1)\pgf@stop
  \fi
  \ifdim\pgf@xa>\pgf@xa
    % shouldn't happen
  \else
     \expandafter\gdef\csname pgf@sh@ns@ext_fit bounding box\endcsname{rectangle}%
     \expandafter\xdef\csname pgf@sh@np@ext_fit bounding box\endcsname{%
       \def\noexpand\southwest{\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@ya}}%
       \def\noexpand\northeast{\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
     }%
     \expandafter\gdef\csname pgf@sh@nt@ext_fit bounding box\endcsname{{1}{0}{0}{1}{0pt}{0pt}}%
     \expandafter\xdef\csname pgf@sh@pi@ext_fit bounding box\expandafter\endcsname\expandafter{\pgfpictureid}%
     \ifcase#2\relax
     \or % 1 = vertical
       \pgf@y=\pgf@yb%
       \advance\pgf@y by-\pgf@ya%
       \edef\pgf@marshal{\noexpand\pgfset{minimum height={\the\pgf@y-2*(\noexpand\pgfkeysvalueof{/pgf/outer ysep})}}}%
       \pgf@marshal
     \or % 2 = horizontal
       \pgf@x=\pgf@xb%
       \advance\pgf@x by-\pgf@xa%
       \edef\pgf@marshal{\noexpand\pgfset{minimum width={\the\pgf@x-2*(\noexpand\pgfkeysvalueof{/pgf/outer xsep})}}}%
       \pgf@marshal
     \or % 3 = both directions
       \pgf@y=\pgf@yb%
       \advance\pgf@y by-\pgf@ya%
       \pgf@x=\pgf@xb%
       \advance\pgf@x by-\pgf@xa%
       \edef\pgf@marshal{\noexpand\pgfset{minimum height={\the\pgf@y-2*(\noexpand\pgfkeysvalueof{/pgf/outer ysep})},minimum width={\the\pgf@x-2*(\noexpand\pgfkeysvalueof{/pgf/outer xsep})}}}%
       \pgf@marshal
     \fi
  \fi
}
\tikzextset{
  fit bounding box/.code=\tikz@lib@place@fit@scan{#1}{0},
  span vertical/.code=\tikz@lib@place@fit@scan{#1}{1},
  span horizontal/.code=\tikz@lib@place@fit@scan{#1}{2},
  span/.code=\tikz@lib@place@fit@scan{#1}{3}}

\pgfmathdeclarefunction{ext_x_node_dist}{0}{%
  \begingroup
    \edef\pgfmath@temp{\noexpand\pgfutil@in@{and}{\tikz@node@distance}}%
    \pgfmath@temp\ifpgfutil@in@
      \expandafter\tikzext@posp@xyshift@\tikz@node@distance\tikz@stop
    \else
      \let\pgf@tempb\tikz@node@distance
    \fi
    \pgfmathparse{\pgf@tempb}%
    \pgfmath@smuggleone\pgfmathresult
  \endgroup
}
\pgfmathdeclarefunction{ext_y_node_dist}{0}{%
  \begingroup
    \edef\pgfmath@temp{\noexpand\pgfutil@in@{and}{\tikz@node@distance}}%
    \pgfmath@temp\ifpgfutil@in@
      \expandafter\tikzext@posp@xyshift@\tikz@node@distance\tikz@stop
    \else
      \let\pgf@tempa\tikz@node@distance
    \fi
    \pgfmathparse{\pgf@tempa}%
    \pgfmath@smuggleone\pgfmathresult
  \endgroup
}

%%% Compatibility
\tikzextset{
  /tikz-ext/compat/add library={positioning-plus}{pre 0.6},
  compat/positioning-plus/warn/.append code=%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/xshift*}{/tikz/ext/xshift*}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/yshift*}{/tikz/ext/yshift*}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/corner above  left}{/tikz/ext/corner above  left}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/corner below  left}{/tikz/ext/corner below  left}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/corner above right}{/tikz/ext/corner above right}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/corner below right}{/tikz/ext/corner below right}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/north  left}{/tikz/ext/north  left}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/south  left}{/tikz/ext/south  left}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/north right}{/tikz/ext/north right}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/south right}{/tikz/ext/south right}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/west above}{/tikz/ext/west above}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/west below}{/tikz/ext/west below}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/east above}{/tikz/ext/east above}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/east below}{/tikz/ext/east below}%
    \pgfkeysdef{/tikz/above}{\pgfkeysvalueof{/tikz/ext/above/.@cmd}##1\pgfeov}% no compat warning possible
    \pgfkeysdef{/tikz/below}{\pgfkeysvalueof{/tikz/ext/below/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/left}{\pgfkeysvalueof{/tikz/ext/left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/right}{\pgfkeysvalueof{/tikz/ext/right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/above left}{\pgfkeysvalueof{/tikz/ext/above left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/below left}{\pgfkeysvalueof{/tikz/ext/below left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/above right}{\pgfkeysvalueof{/tikz/ext/above right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/below right}{\pgfkeysvalueof{/tikz/ext/below right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/base left}{\pgfkeysvalueof{/tikz/ext/base left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/base right}{\pgfkeysvalueof{/tikz/ext/base right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/mid left}{\pgfkeysvalueof{/tikz/ext/mid left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/mid right}{\pgfkeysvalueof{/tikz/ext/mid right/.@cmd}##1\pgfeov}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/span}{/tikz/ext/span}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/span horizontal}{/tikz/ext/span horizontal}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/span vertical}{/tikz/ext/span vertical}%
    \tikzextutil@compatwarning@key{positioning-plus}{pre 0.6}{/tikz/fit bounding box}{/tikz/ext/fit bounding box}%
    \pgfdeclaregenericanchor{corner south east}{\tikzextutil@compatmaybewarning{anchor 'corner south east'}{'ext_corner south east'}{positioning-plus = pre 0.6}\csname pgf@anchor@generic@ext_corner south east\endcsname{##1}}%
    \pgfdeclaregenericanchor{corner south west}{\tikzextutil@compatmaybewarning{anchor 'corner south west'}{'ext_corner south west'}{positioning-plus = pre 0.6}\csname pgf@anchor@generic@ext_corner south west\endcsname{##1}}%
    \pgfdeclaregenericanchor{corner north east}{\tikzextutil@compatmaybewarning{anchor 'corner north east'}{'ext_corner north east'}{positioning-plus = pre 0.6}\csname pgf@anchor@generic@ext_corner north east\endcsname{##1}}%
    \pgfdeclaregenericanchor{corner north west}{\tikzextutil@compatmaybewarning{anchor 'corner north west'}{'ext_corner north west'}{positioning-plus = pre 0.6}\csname pgf@anchor@generic@ext_corner north west\endcsname{##1}}%
    \tikzextutil@compatwarning@mathcmdZ{positioning-plus}{pre 0.6}{x_node_dist}{ext_x_node_dist}%
    \tikzextutil@compatwarning@mathcmdZ{positioning-plus}{pre 0.6}{y_node_dist}{ext_y_node_dist}%
  ,%
  compat/positioning-plus/pre 0.6/.append code=%
    \pgfkeysdef{/tikz/xshift*}{\pgfkeysvalueof{/tikz/ext/xshift*/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/yshift*}{\pgfkeysvalueof{/tikz/ext/yshift*/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/corner above  left}{\pgfkeysvalueof{/tikz/ext/corner above  left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/corner below  left}{\pgfkeysvalueof{/tikz/ext/corner below  left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/corner above right}{\pgfkeysvalueof{/tikz/ext/corner above right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/corner below right}{\pgfkeysvalueof{/tikz/ext/corner below right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/north  left}{\pgfkeysvalueof{/tikz/ext/north  left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/south  left}{\pgfkeysvalueof{/tikz/ext/south  left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/north right}{\pgfkeysvalueof{/tikz/ext/north right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/south right}{\pgfkeysvalueof{/tikz/ext/south right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/west above}{\pgfkeysvalueof{/tikz/ext/west above/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/west below}{\pgfkeysvalueof{/tikz/ext/west below/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/east above}{\pgfkeysvalueof{/tikz/ext/east above/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/east below}{\pgfkeysvalueof{/tikz/ext/east below/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/above}{\pgfkeysvalueof{/tikz/ext/above/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/below}{\pgfkeysvalueof{/tikz/ext/below/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/left}{\pgfkeysvalueof{/tikz/ext/left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/right}{\pgfkeysvalueof{/tikz/ext/right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/above left}{\pgfkeysvalueof{/tikz/ext/above left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/below left}{\pgfkeysvalueof{/tikz/ext/below left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/above right}{\pgfkeysvalueof{/tikz/ext/above right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/below right}{\pgfkeysvalueof{/tikz/ext/below right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/base left}{\pgfkeysvalueof{/tikz/ext/base left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/base right}{\pgfkeysvalueof{/tikz/ext/base right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/mid left}{\pgfkeysvalueof{/tikz/ext/mid left/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/mid right}{\pgfkeysvalueof{/tikz/ext/mid right/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/span}{\pgfkeysvalueof{/tikz/ext/span/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/span vertical}{\pgfkeysvalueof{/tikz/ext/span vertical/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/span horizontal}{\pgfkeysvalueof{/tikz/ext/span horizontal/.@cmd}##1\pgfeov}%
    \pgfkeysdef{/tikz/fit bounding box}{\pgfkeysvalueof{/tikz/ext/fit bounding box/.@cmd}##1\pgfeov}%
    \pgfdeclaregenericanchor{corner south east}{\csname pgf@anchor@generic@ext_corner south east\endcsname}%
    \pgfdeclaregenericanchor{corner south west}{\csname pgf@anchor@generic@ext_corner south west\endcsname}%
    \pgfdeclaregenericanchor{corner north east}{\csname pgf@anchor@generic@ext_corner north east\endcsname}%
    \pgfdeclaregenericanchor{corner north west}{\csname pgf@anchor@generic@ext_corner north west\endcsname}%
    \pgfmathdeclarefunction*{x_node_dist}{0}{\csname pgfmathext_x_node_dist\encsname}%
    \pgfmathdeclarefunction*{y_node_dist}{0}{\csname pgfmathext_y_node_dist\encsname}%
    ,
  compat/positioning-plus/0.6/.append code=
    \pgfkeysdef{above}{\tikz@lib@place@handle@{#1}{south}{0}{1}{north}{1}}%
    \pgfkeysdef{above left}{\tikz@lib@place@handle@{#1}{south east}{-1}{1}{north west}{0.707106781}}%
    \pgfkeysdef{above right}{\tikz@lib@place@handle@{#1}{south west}{1}{1}{north east}{0.707106781}}%
    \pgfkeysdef{base left}{\tikz@lib@place@handle@{#1}{base east}{-1}{0}{base west}{1}}%
    \pgfkeysdef{base right}{\tikz@lib@place@handle@{#1}{base west}{1}{0}{base east}{1}}%
    \pgfkeysdef{below}{\tikz@lib@place@handle@{#1}{north}{0}{-1}{south}{1}}%
    \pgfkeysdef{below left}{\tikz@lib@place@handle@{#1}{north east}{-1}{-1}{south west}{0.707106781}}%
    \pgfkeysdef{below right}{\tikz@lib@place@handle@{#1}{north west}{1}{-1}{south east}{0.707106781}}%
    \pgfkeysdef{left}{\tikz@lib@place@handle@{#1}{east}{-1}{0}{west}{1}}%
    \pgfkeysdef{mid left/}{\tikz@lib@place@handle@{#1}{mid east}{-1}{0}{mid west}{1}}%
    \pgfkeysdef{mid right}{\tikz@lib@place@handle@{#1}{mid west}{1}{0}{mid east}{1}}%
    \pgfkeysdef{right}{\tikz@lib@place@handle@{#1}{west}{1}{0}{east}{1}}%
    ,
  compat/positioning-plus/newest/.append style=/tikz/ext/compat/positioning-plus/0.6,
  compat/positioning-plus/\pgfkeysvalueof{/tikz/ext/compat/positioning-plus}%
}
\endinput