% Copyright 2024 DeepMind Technologies Limited
%
% Licensed under the Apache License, Version 2.0 (the "License");
% you may not use this file except in compliance with the License.
% You may obtain a copy of the License at
%
% http://www.apache.org/licenses/LICENSE-2.0
%
% Unless required by applicable law or agreed to in writing, software
% distributed under the License is distributed on an "AS IS" BASIS,
% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
% See the License for the specific language governing permissions and
% limitations under the License.
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{twoxtwogame}[2024/03/05 v0.2 Tools for 2x2 Games]
\RequirePackage{tikz}
\RequirePackage{tikz-3dplot}
\RequirePackage{pgfplots}
\pgfplotsset{compat=1.18}
\RequirePackage{tikzscale}
\RequirePackage{pgfmath-xfp}
\RequirePackage{ifthen}
\usetikzlibrary{arrows.meta,patterns,patterns.meta,shapes,calc,positioning,external,fillbetween}
\RequirePackage{amsthm, amsmath, amsfonts, amssymb, mathtools}
\RequirePackage{etoolbox}
\makeatletter
\newcommand{\@setdefaultgraphkey}{%
\tikzset{
graph/.is family,
graph,
point offset/.initial=-0.38em,
point color/.initial=.,
point radius/.initial=0.04em,
row player x offset/.initial=-0.1em,
row player y offset/.initial=-0.05em,
column player x offset/.initial=0.1em,
column player y offset/.initial=0.05em,
player x offset/.initial=0em,
player y offset/.initial=0em,
row player color/.initial=.,
column player color/.initial=.,
player color/.initial=.,
row player first strategy color/.initial=\empty,
row player second strategy color/.initial=\empty,
column player first strategy color/.initial=\empty,
column player second strategy color/.initial=\empty,
border color/.initial=.,
color/.initial=.,
arrow width/.initial=0.25em,
arrow length/.initial=0.35em,
line width/.initial=0.04em,
row player first strategy label/.initial=A,
row player second strategy label/.initial=B,
column player first strategy label/.initial=A,
column player second strategy label/.initial=B,
label/.initial=,
}%
}
\@setdefaultgraphkey
\newcommand{\@graphkey}[1]{\pgfkeysvalueof{/tikz/graph/#1}}
\DeclareRobustCommand{\ordgraph}[9][]{%
\@setdefaultgraphkey%
\tikzset{%
graph,%
point offset=0.38em,%
point color=.,%
point radius=0.04em,%
row player x offset=-0.1em,%
row player y offset=-0.05em,%
column player x offset=0.1em,%
column player y offset=0.05em,%
row player color=.,%
column player color=gray,%
arrow width=0.25em,%
arrow length=0.35em,%
line width=0.04em,%
#1}%
\raisebox{-0.2em}{%
\begin{tikzpicture}%
\path (-\@graphkey{point offset}-\@graphkey{arrow width}-\@graphkey{row player x offset},-\@graphkey{point offset}-\@graphkey{arrow width}-\@graphkey{row player y offset}) -- (\@graphkey{point offset}+\@graphkey{arrow width}+\@graphkey{row player x offset},\@graphkey{point offset}+\@graphkey{arrow width}+\@graphkey{row player y offset});
% Column player.
\tikzset{graph,player color=\@graphkey{column player color},player x offset=\@graphkey{column player x offset},player y offset=\@graphkey{column player y offset}}%
\@playerordgraph[#1]{#6}{#7}{#8}{#9}
% Row player.
\tikzset{graph,player color=\@graphkey{row player color},player x offset=\@graphkey{row player x offset},player y offset=\@graphkey{row player y offset}}%
\@playerordgraph[#1]{#2}{#3}{#4}{#5}
\ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt = #5 pt} \AND \lengthtest{#6 pt = #7 pt} \AND \lengthtest{#7 pt = #8 pt} \AND \lengthtest{#8 pt = #9 pt}}{
\fill[\@graphkey{point color}] (-\@graphkey{point offset},-\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
\fill[\@graphkey{point color}] (-\@graphkey{point offset},+\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
\fill[\@graphkey{point color}] (+\@graphkey{point offset},-\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
\fill[\@graphkey{point color}] (+\@graphkey{point offset},+\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
}{}
\end{tikzpicture}%
}%
}
\newcommand{\@pone}[2]{(-\@graphkey{point offset}+#1, \@graphkey{point offset}+#2)}
\newcommand{\@ptwo}[2]{(\@graphkey{point offset}+#1, \@graphkey{point offset}+#2)}
\newcommand{\@pthree}[2]{(-\@graphkey{point offset}+#1, -\@graphkey{point offset}+#2)}
\newcommand{\@pfour}[2]{(\@graphkey{point offset}+#1, -\@graphkey{point offset}+#2)}
\DeclareRobustCommand{\@playerordgraph}[5][]{%
% Ordinal rankings.
\ifthenelse{\lengthtest{#2 pt < #3 pt} \AND \lengthtest{#3 pt < #4 pt} \AND \lengthtest{#4 pt < #5 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt < #3 pt} \AND \lengthtest{#3 pt < #5 pt} \AND \lengthtest{#5 pt < #4 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt < #4 pt} \AND \lengthtest{#4 pt < #3 pt} \AND \lengthtest{#3 pt < #5 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt < #4 pt} \AND \lengthtest{#4 pt < #5 pt} \AND \lengthtest{#5 pt < #3 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt < #5 pt} \AND \lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt < #4 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt < #5 pt} \AND \lengthtest{#5 pt < #4 pt} \AND \lengthtest{#4 pt < #3 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt < #2 pt} \AND \lengthtest{#2 pt < #4 pt} \AND \lengthtest{#4 pt < #5 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt < #2 pt} \AND \lengthtest{#2 pt < #5 pt} \AND \lengthtest{#5 pt < #4 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt < #4 pt} \AND \lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt < #5 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt < #4 pt} \AND \lengthtest{#4 pt < #5 pt} \AND \lengthtest{#5 pt < #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt < #5 pt} \AND \lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt < #4 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt < #5 pt} \AND \lengthtest{#5 pt < #4 pt} \AND \lengthtest{#4 pt < #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt < #3 pt} \AND \lengthtest{#3 pt < #5 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt < #5 pt} \AND \lengthtest{#5 pt < #3 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt < #3 pt} \AND \lengthtest{#3 pt < #2 pt} \AND \lengthtest{#2 pt < #5 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt < #3 pt} \AND \lengthtest{#3 pt < #5 pt} \AND \lengthtest{#5 pt < #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt < #5 pt} \AND \lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt < #3 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt < #5 pt} \AND \lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt < #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt < #3 pt} \AND \lengthtest{#3 pt < #4 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt < #4 pt} \AND \lengthtest{#4 pt < #3 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt < #2 pt} \AND \lengthtest{#2 pt < #4 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt < #4 pt} \AND \lengthtest{#4 pt < #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#5 pt < #4 pt} \AND \lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt < #3 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#5 pt < #4 pt} \AND \lengthtest{#4 pt < #3 pt} \AND \lengthtest{#3 pt < #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
% Triple Ties.
\ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#2 pt = #4 pt} \AND \lengthtest{#2 pt < #5 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#2 pt = #5 pt} \AND \lengthtest{#2 pt < #4 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#2 pt = #5 pt} \AND \lengthtest{#2 pt < #3 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt = #4 pt} \AND \lengthtest{#3 pt = #5 pt} \AND \lengthtest{#3 pt < #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
% Low Ties.
\ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#2 pt = #4 pt} \AND \lengthtest{#2 pt > #5 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#2 pt = #5 pt} \AND \lengthtest{#2 pt > #4 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#2 pt = #5 pt} \AND \lengthtest{#2 pt > #3 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt = #4 pt} \AND \lengthtest{#3 pt = #5 pt} \AND \lengthtest{#3 pt > #2 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
% Double Ties.
\ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#4 pt = #5 pt} \AND \lengthtest{#4 pt > #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#3 pt = #5 pt} \AND \lengthtest{#3 pt > #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #5 pt} \AND \lengthtest{#3 pt = #4 pt} \AND \lengthtest{#3 pt > #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#4 pt = #5 pt} \AND \lengthtest{#4 pt < #2 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#3 pt = #5 pt} \AND \lengthtest{#3 pt < #2 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #5 pt} \AND \lengthtest{#3 pt = #4 pt} \AND \lengthtest{#3 pt < #2 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
% High Ties
\ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt > #4 pt} \AND \lengthtest{#4 pt > #5 pt}}{
\draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt > #5 pt} \AND \lengthtest{#5 pt > #4 pt}}{
\draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#4 pt > #3 pt} \AND \lengthtest{#3 pt > #5 pt}}{
\draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#4 pt > #5 pt} \AND \lengthtest{#5 pt > #3 pt}}{
\draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #5 pt} \AND \lengthtest{#5 pt > #3 pt} \AND \lengthtest{#3 pt > #4 pt}}{
\draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #5 pt} \AND \lengthtest{#5 pt > #4 pt} \AND \lengthtest{#4 pt > #3 pt}}{
\draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt > #2 pt} \AND \lengthtest{#2 pt > #5 pt}}{
\draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt > #5 pt} \AND \lengthtest{#5 pt > #2 pt}}{
\draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt = #5 pt} \AND \lengthtest{#5 pt > #2 pt} \AND \lengthtest{#2 pt > #4 pt}}{
\draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt = #5 pt} \AND \lengthtest{#5 pt > #4 pt} \AND \lengthtest{#4 pt > #2 pt}}{
\draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt = #5 pt} \AND \lengthtest{#5 pt > #2 pt} \AND \lengthtest{#2 pt > #3 pt}}{
\draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt = #5 pt} \AND \lengthtest{#5 pt > #3 pt} \AND \lengthtest{#3 pt > #2 pt}}{
\draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
% Low Ties
\ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt < #4 pt} \AND \lengthtest{#4 pt < #5 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt < #5 pt} \AND \lengthtest{#5 pt < #4 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#4 pt < #3 pt} \AND \lengthtest{#3 pt < #5 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #4 pt} \AND \lengthtest{#4 pt < #5 pt} \AND \lengthtest{#5 pt < #3 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #5 pt} \AND \lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt < #4 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt = #5 pt} \AND \lengthtest{#5 pt < #4 pt} \AND \lengthtest{#4 pt < #3 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt < #5 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt < #5 pt} \AND \lengthtest{#5 pt < #2 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt = #5 pt} \AND \lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt < #4 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt = #5 pt} \AND \lengthtest{#5 pt < #4 pt} \AND \lengthtest{#4 pt < #2 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt = #5 pt} \AND \lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt < #3 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt = #5 pt} \AND \lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt < #2 pt}}{
\draw[{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[line width=\@graphkey{line width}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
% Mid Ties:
\ifthenelse{\lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt < #4 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt = #3 pt} \AND \lengthtest{#3 pt < #5 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#5 pt < #2 pt} \AND \lengthtest{#2 pt = #4 pt} \AND \lengthtest{#4 pt < #3 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt < #2 pt} \AND \lengthtest{#2 pt = #4 pt} \AND \lengthtest{#4 pt < #5 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt < #2 pt} \AND \lengthtest{#2 pt = #5 pt} \AND \lengthtest{#5 pt < #3 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt < #2 pt} \AND \lengthtest{#2 pt = #5 pt} \AND \lengthtest{#5 pt < #4 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#5 pt < #3 pt} \AND \lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt < #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt < #3 pt} \AND \lengthtest{#3 pt = #4 pt} \AND \lengthtest{#4 pt < #5 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#4 pt < #3 pt} \AND \lengthtest{#3 pt = #5 pt} \AND \lengthtest{#5 pt < #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt < #3 pt} \AND \lengthtest{#3 pt = #5 pt} \AND \lengthtest{#5 pt < #4 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#3 pt < #4 pt} \AND \lengthtest{#4 pt = #5 pt} \AND \lengthtest{#5 pt < #2 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
\ifthenelse{\lengthtest{#2 pt < #4 pt} \AND \lengthtest{#4 pt = #5 pt} \AND \lengthtest{#5 pt < #3 pt}}{
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pthree{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
\draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \@pone{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@pfour{\@graphkey{player x offset}}{\@graphkey{player y offset}} -- \@ptwo{\@graphkey{player x offset}}{\@graphkey{player y offset}};
}{}
}
% Switch to tikzset
\DeclareRobustCommand{\brgraph}[9][]{%
\@setdefaultgraphkey%
\tikzset{%
graph,%
point offset=0.38em,%
point color=.,%
point radius=0.06em,%
row player color=.,%
column player color=.,%
arrow width=0.25em,%
arrow length=0.35em,%
line width=0.05em,%
#1}%
\raisebox{-0.34em}{%
\begin{tikzpicture}
\path (-\@graphkey{point offset}-\@graphkey{arrow width},-\@graphkey{point offset}-\@graphkey{arrow width}) -- (\@graphkey{point offset}+\@graphkey{arrow width},\@graphkey{point offset}+\@graphkey{arrow width});
% Player 1.
% Player 2's Action 1.
\ifthenelse{\lengthtest{#2 pt > #4 pt}}{
\draw[
-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]},
line width=\@graphkey{line width},
\@graphkey{row player color},
] (-\@graphkey{point offset},-\@graphkey{point offset}) -- (-\@graphkey{point offset},+\@graphkey{point offset});
}{}
\ifthenelse{\lengthtest{#2 pt < #4 pt}}{
\draw[
{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-,
line width=\@graphkey{line width},
\@graphkey{row player color},
] (-\@graphkey{point offset},-\@graphkey{point offset}) -- (-\@graphkey{point offset},+\@graphkey{point offset});
}{}
% Player 2's Action 2.
\ifthenelse{\lengthtest{#3 pt > #5 pt}}{
\draw[
-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]},
line width=\@graphkey{line width},
\@graphkey{row player color},
] (+\@graphkey{point offset},-\@graphkey{point offset}) -- (+\@graphkey{point offset},+\@graphkey{point offset});
}{}
\ifthenelse{\lengthtest{#3 pt < #5 pt}}{
\draw[
{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-,
line width=\@graphkey{line width},
\@graphkey{row player color},
] (+\@graphkey{point offset},-\@graphkey{point offset}) -- (+\@graphkey{point offset},+\@graphkey{point offset});
}{}
% Player 2.
% Player 1's Action 1.
\ifthenelse{\lengthtest{#6 pt > #7 pt}}{
\draw[
{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-,
line width=\@graphkey{line width},
\@graphkey{column player color},
] (-\@graphkey{point offset},+\@graphkey{point offset}) -- (+\@graphkey{point offset},+\@graphkey{point offset});
}{}
\ifthenelse{\lengthtest{#6 pt < #7 pt}}{
\draw[
-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]},
line width=\@graphkey{line width},
\@graphkey{column player color},
] (-\@graphkey{point offset},+\@graphkey{point offset}) -- (+\@graphkey{point offset},+\@graphkey{point offset});
}{}
% Player 1's Action 2.
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{
\draw[
{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}-,
line width=\@graphkey{line width},
\@graphkey{column player color},
] (-\@graphkey{point offset},-\@graphkey{point offset}) -- (+\@graphkey{point offset},-\@graphkey{point offset});
}{}
\ifthenelse{\lengthtest{#8 pt < #9 pt}}{
\draw[
-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]},
line width=\@graphkey{line width},
\@graphkey{column player color},
] (-\@graphkey{point offset},-\@graphkey{point offset}) -- (+\@graphkey{point offset},-\@graphkey{point offset});
}{}
\fill[\@graphkey{point color}] (-\@graphkey{point offset},-\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
\fill[\@graphkey{point color}] (-\@graphkey{point offset},+\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
\fill[\@graphkey{point color}] (+\@graphkey{point offset},-\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
\fill[\@graphkey{point color}] (+\@graphkey{point offset},+\@graphkey{point offset}) circle[radius=\@graphkey{point radius}];
\end{tikzpicture}%
}%
}
\DeclareRobustCommand{\dominantbrgraph}[1][]{%
\brgraph[#1]{1}{1}{0}{0}{1}{0}{1}{0}}
\DeclareRobustCommand{\coordinationbrgraph}[1][]{%
\brgraph[#1]{1}{0}{0}{1}{1}{0}{0}{1}}
\DeclareRobustCommand{\cyclebrgraph}[1][]{%
\brgraph[#1]{1}{0}{0}{1}{0}{1}{1}{0}}
\DeclareRobustCommand{\samaritanbrgraph}[1][]{%
\brgraph[#1]{1}{0}{0}{1}{1}{0}{1}{0}}
\DeclareRobustCommand{\hazardbrgraph}[1][]{%
\brgraph[#1]{1}{0}{0}{1}{0}{0}{1}{0}}
\DeclareRobustCommand{\safetybrgraph}[1][]{%
\brgraph[#1]{1}{0}{0}{1}{1}{0}{0}{0}}
\DeclareRobustCommand{\aidosbrgraph}[1][]{%
\brgraph[#1]{1}{1}{0}{0}{0}{0}{1}{0}}
\DeclareRobustCommand{\picnicbrgraph}[1][]{%
\brgraph[#1]{1}{0}{0}{0}{1}{0}{1}{0}}
\DeclareRobustCommand{\daredevilbrgraph}[1][]{%
\brgraph[#1]{0}{1}{0}{0}{0}{0}{1}{0}}
\DeclareRobustCommand{\fossickbrgraph}[1][]{%
\brgraph[#1]{1}{0}{0}{0}{1}{0}{0}{0}}
\DeclareRobustCommand{\heistbrgraph}[1][]{%
\brgraph[#1]{1}{0}{0}{0}{0}{0}{1}{0}}
\DeclareRobustCommand{\ignorancebrgraph}[1][]{%
\brgraph[#1]{1}{1}{0}{0}{0}{0}{0}{0}}
\DeclareRobustCommand{\horseplaybrgraph}[1][]{%
\brgraph[#1]{1}{0}{0}{1}{0}{0}{0}{0}}
\DeclareRobustCommand{\dressbrgraph}[1][]{%
\brgraph[#1]{1}{0}{0}{0}{0}{0}{0}{0}}
\DeclareRobustCommand{\nullbrgraph}[1][]{%
\brgraph[#1]{0}{0}{0}{0}{0}{0}{0}{0}}
\DeclareRobustCommand{\brname}[8]{%
\ifthenelse{\lengthtest{#1 pt = #3 pt}}{% BEGIN( xxx)
\ifthenelse{\lengthtest{#2 pt = #4 pt}}{% BEGIN( xx)
\ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN( x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( )
%Equal,Equal,Equal,Equal
Null
}{% END( )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ���)
%Equal,Equal,Equal,Left
Dress
}% END( ���)
{% BEGIN( ���)
%Equal,Equal,Equal,Right
Dress
}}% END( ���)
}{% END( x)
\ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN( ���x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ��� )
%Equal,Equal,Left,Equal
Dress
}{% END( ��� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ������)
%Equal,Equal,Left,Left
Ignorance
}% END( ������)
{% BEGIN( ������)
%Equal,Equal,Left,Right
Horseplay
}}% END( ������)
}% END( ���x)
{% BEGIN( ���x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ��� )
%Equal,Equal,Right,Equal
Dress
}{% END( ��� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ������)
%Equal,Equal,Right,Left
Horseplay
}% END( ������)
{% BEGIN( ������)
%Equal,Equal,Right,Right
Ignorance
}}% END( ������)
}}% END( ���x)
}{% END( xx)
\ifthenelse{\lengthtest{#2 pt > #4 pt}}{% BEGIN( ���xx)
\ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN( ��� x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ��� )
%Equal,Up,Equal,Equal
Dress
}{% END( ��� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ��� ���)
%Equal,Up,Equal,Left
Daredevil
}% END( ��� ���)
{% BEGIN( ��� ���)
%Equal,Up,Equal,Right
Heist
}}% END( ��� ���)
}{% END( ��� x)
\ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN( ������x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ������ )
%Equal,Up,Left,Equal
Heist
}{% END( ������ )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ���������)
%Equal,Up,Left,Left
Aidos
}% END( ���������)
{% BEGIN( ���������)
%Equal,Up,Left,Right
Hazard
}}% END( ���������)
}% END( ������x)
{% BEGIN( ������x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ������ )
%Equal,Up,Right,Equal
Fossick
}{% END( ������ )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ���������)
%Equal,Up,Right,Left
Safety
}% END( ���������)
{% BEGIN( ���������)
%Equal,Up,Right,Right
Picnic
}}% END( ���������)
}}% END( ������x)
}% END( ���xx)
{% BEGIN( ���xx)
\ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN( ��� x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ��� )
%Equal,Down,Equal,Equal
Dress
}{% END( ��� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ��� ���)
%Equal,Down,Equal,Left
Heist
}% END( ��� ���)
{% BEGIN( ��� ���)
%Equal,Down,Equal,Right
Fossick
}}% END( ��� ���)
}{% END( ��� x)
\ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN( ������x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ������ )
%Equal,Down,Left,Equal
Daredevil
}{% END( ������ )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ���������)
%Equal,Down,Left,Left
Aidos
}% END( ���������)
{% BEGIN( ���������)
%Equal,Down,Left,Right
Safety
}}% END( ���������)
}% END( ������x)
{% BEGIN( ������x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN( ������ )
%Equal,Down,Right,Equal
Heist
}{% END( ������ )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN( ���������)
%Equal,Down,Right,Left
Hazard
}% END( ���������)
{% BEGIN( ���������)
%Equal,Down,Right,Right
Picnic
}}% END( ���������)
}}% END( ������x)
}}% END( ���xx)
}{% END( xxx)
\ifthenelse{\lengthtest{#1 pt > #3 pt}}{% BEGIN(���xxx)
\ifthenelse{\lengthtest{#2 pt = #4 pt}}{% BEGIN(��� xx)
\ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(��� x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��� )
%Up,Equal,Equal,Equal
Dress
}{% END(��� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(��� ���)
%Up,Equal,Equal,Left
Heist
}% END(��� ���)
{% BEGIN(��� ���)
%Up,Equal,Equal,Right
Daredevil
}}% END(��� ���)
}{% END(��� x)
\ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(��� ���x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��� ��� )
%Up,Equal,Left,Equal
Fossick
}{% END(��� ��� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(��� ������)
%Up,Equal,Left,Left
Picnic
}% END(��� ������)
{% BEGIN(��� ������)
%Up,Equal,Left,Right
Safety
}}% END(��� ������)
}% END(��� ���x)
{% BEGIN(��� ���x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��� ��� )
%Up,Equal,Right,Equal
Heist
}{% END(��� ��� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(��� ������)
%Up,Equal,Right,Left
Hazard
}% END(��� ������)
{% BEGIN(��� ������)
%Up,Equal,Right,Right
Aidos
}}% END(��� ������)
}}% END(��� ���x)
}{% END(��� xx)
\ifthenelse{\lengthtest{#2 pt > #4 pt}}{% BEGIN(������xx)
\ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(������ x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(������ )
%Up,Up,Equal,Equal
Ignorance
}{% END(������ )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(������ ���)
%Up,Up,Equal,Left
Aidos
}% END(������ ���)
{% BEGIN(������ ���)
%Up,Up,Equal,Right
Aidos
}}% END(������ ���)
}{% END(������ x)
\ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(���������x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��������� )
%Up,Up,Left,Equal
Picnic
}{% END(��������� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(������������)
%Up,Up,Left,Left
Dominant
}% END(������������)
{% BEGIN(������������)
%Up,Up,Left,Right
Samaritan
}}% END(������������)
}% END(���������x)
{% BEGIN(���������x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��������� )
%Up,Up,Right,Equal
Picnic
}{% END(��������� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(������������)
%Up,Up,Right,Left
Samaritan
}% END(������������)
{% BEGIN(������������)
%Up,Up,Right,Right
Dominant
}}% END(������������)
}}% END(���������x)
}% END(������xx)
{% BEGIN(������xx)
\ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(������ x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(������ )
%Up,Down,Equal,Equal
Horseplay
}{% END(������ )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(������ ���)
%Up,Down,Equal,Left
Hazard
}% END(������ ���)
{% BEGIN(������ ���)
%Up,Down,Equal,Right
Safety
}}% END(������ ���)
}{% END(������ x)
\ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(���������x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��������� )
%Up,Down,Left,Equal
Safety
}{% END(��������� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(������������)
%Up,Down,Left,Left
Samaritan
}% END(������������)
{% BEGIN(������������)
%Up,Down,Left,Right
Coordination
}}% END(������������)
}% END(���������x)
{% BEGIN(���������x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��������� )
%Up,Down,Right,Equal
Hazard
}{% END(��������� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(������������)
%Up,Down,Right,Left
Cycle
}% END(������������)
{% BEGIN(������������)
%Up,Down,Right,Right
Samaritan
}}% END(������������)
}}% END(���������x)
}}% END(������xx)
}% END(���xxx)
{% BEGIN(���xxx)
\ifthenelse{\lengthtest{#2 pt = #4 pt}}{% BEGIN(��� xx)
\ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(��� x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��� )
%Down,Equal,Equal,Equal
Dress
}{% END(��� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(��� ���)
%Down,Equal,Equal,Left
Fossick
}% END(��� ���)
{% BEGIN(��� ���)
%Down,Equal,Equal,Right
Heist
}}% END(��� ���)
}{% END(��� x)
\ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(��� ���x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��� ��� )
%Down,Equal,Equal,Equal
Dress
}{% END(��� ��� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(��� ������)
%Down,Equal,Equal,Left
Picnic
}% END(��� ������)
{% BEGIN(��� ������)
%Down,Equal,Equal,Right
Hazard
}}% END(��� ������)
}% END(��� ���x)
{% BEGIN(��� ���x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��� ��� )
%Down,Equal,Right,Equal
Daredevil
}{% END(��� ��� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(��� ������)
%Down,Equal,Right,Left
Safety
}% END(��� ������)
{% BEGIN(��� ������)
%Down,Equal,Right,Right
Aidos
}}% END(��� ������)
}}% END(��� ���x)
}{% END(��� xx)
\ifthenelse{\lengthtest{#2 pt > #4 pt}}{% BEGIN(������xx)
\ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(������ x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(������ )
%Down,Up,Equal,Equal
Horseplay
}{% END(������ )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(������ ���)
%Down,Up,Equal,Left
Safety
}% END(������ ���)
{% BEGIN(������ ���)
%Down,Up,Equal,Right
Hazard
}}% END(������ ���)
}{% END(������ x)
\ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(���������x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��������� )
%Down,Up,Left,Equal
Hazard
}{% END(��������� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(������������)
%Down,Up,Left,Left
Samaritan
}% END(������������)
{% BEGIN(������������)
%Down,Up,Left,Right
Cycle
}}% END(������������)
}% END(���������x)
{% BEGIN(���������x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��������� )
%Down,Up,Right,Equal
Safety
}{% END(��������� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(������������)
%Down,Up,Right,Left
Coordination
}% END(������������)
{% BEGIN(������������)
%Down,Up,Right,Right
Samaritan
}}% END(������������)
}}% END(��� ���x)
}% END(������xx)
{% BEGIN(������xx)
\ifthenelse{\lengthtest{#5 pt = #6 pt}}{% BEGIN(������ x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(������ )
%Down,Down,Equal,Equal
Ignorance
}{% END(������ )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(������ ���)
%Down,Down,Equal,Left
Picnic
}% END(������ ���)
{% BEGIN(������ ���)
%Down,Down,Equal,Right
Picnic
}}% END(������ ���)
}{% END(������ x)
\ifthenelse{\lengthtest{#5 pt > #6 pt}}{% BEGIN(���������x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��������� )
%Down,Down,Left,Equal
Aidos
}{% END(��������� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(������������)
%Down,Down,Left,Left
Dominant
}% END(������������)
{% BEGIN(������������)
%Down,Down,Left,Right
Samaritan
}}% END(������������)
}% END(���������x)
{% BEGIN(���������x)
\ifthenelse{\lengthtest{#7 pt = #8 pt}}{% BEGIN(��������� )
%Down,Down,Right,Equal
Aidos
}{% END(��������� )
\ifthenelse{\lengthtest{#7 pt > #8 pt}}{% BEGIN(������������)
%Down,Down,Right,Left
Samaritan
}% END(������������)
{% BEGIN(������������)
%Down,Down,Right,Right
Dominant
}}% END(������������)
}}% END(���������x)
}}% END(������xx)
}}% END(���xxx)
}
% \DeclareRobustCommand{\brnameB}[8]{%
% \ifthenelse{\lengthtest{#3 pt > #1 pt}}{%
% \def\rowa{01}%
% }{%
% \ifthenelse{\lengthtest{#3 pt < #1 pt}}{%
% \def\rowa{10}%
% }{%
% \def\rowa{00}%
% }%
% }%
% \ifthenelse{\lengthtest{#4 pt > #2 pt}}{%
% \def\rowb{01}%
% }{%
% \ifthenelse{\lengthtest{#4 pt < #2 pt}}{%
% \def\rowb{10}%
% }{%
% \def\rowb{00}%
% }%
% }%
% \ifthenelse{\lengthtest{#6 pt > #5 pt}}{%
% \def\cola{01}%
% }{%
% \ifthenelse{\lengthtest{#6 pt < #5 pt}}{%
% \def\cola{10}%
% }{%
% \def\cola{00}%
% }%
% }%
% \ifthenelse{\lengthtest{#8 pt > #7 pt}}{%
% \def\colb{01}%
% }{%
% \ifthenelse{\lengthtest{#8 pt < #7 pt}}{%
% \def\colb{10}%
% }{%
% \def\colb{00}%
% }%
% }%
% \ifthenelse{%
% \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) %
% }{Null}{}%
% \ifthenelse{%
% \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) %
% }{Dress}{}%
% \ifthenelse{%
% \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) %
% }{Horseplay}{}%
% \ifthenelse{%
% \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{00}\) %
% }{Ignorance}{}%
% \ifthenelse{%
% \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) %
% }{Dominant}{}%
% \ifthenelse{%
% \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) %
% }{Coordination}{}%
% \ifthenelse{%
% \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) %
% }{Cycle}{}%
% \ifthenelse{%
% \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) %
% }{Samaritan}{}%
% \ifthenelse{%
% \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) %
% }{Hazard}{}%
% \ifthenelse{%
% \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{01}\) %
% }{Safety}{}%
% \ifthenelse{%
% \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) %
% }{Aidos}{}%
% \ifthenelse{%
% \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{10}\) %
% }{Picnic}{}%
% \ifthenelse{%
% \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) %
% }{Daredevil}{}%
% \ifthenelse{%
% \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) %
% }{Fossick}{}%
% \ifthenelse{%
% \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{01} \AND \equal{\rowb}{00} \AND \equal{\cola}{10} \AND \equal{\colb}{00}\) \OR %
% \(\equal{\rowa}{10} \AND \equal{\rowb}{00} \AND \equal{\cola}{00} \AND \equal{\colb}{10}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{10} \AND \equal{\cola}{00} \AND \equal{\colb}{01}\) \OR %
% \(\equal{\rowa}{00} \AND \equal{\rowb}{01} \AND \equal{\cola}{01} \AND \equal{\colb}{00}\) %
% }{Heist}{}%
% }
\DeclareRobustCommand{\jointgraph}[5][%
border color=.,%
color=.,%
]{%
\tikzset{graph,#1}%
\raisebox{-0.15em}{%
\begin{tikzpicture}[anchor=center]
% Border.
\draw[draw=\@graphkey{border color},line width=0.02em] (-0.35em,-0.35em) rectangle (0.35em,0.35em);
% Joint.
\fill[fill=\@graphkey{color},opacity=#2] (-0.05em,0.05em) rectangle (-0.3em, 0.3em);
\fill[fill=\@graphkey{color},opacity=#3] (0.05em,0.05em) rectangle (0.3em, 0.3em);
\fill[fill=\@graphkey{color},opacity=#4] (-0.05em,-0.05em) rectangle (-0.3em, -0.3em);
\fill[fill=\@graphkey{color},opacity=#5] (0.05em,-0.05em) rectangle (0.3em, -0.3em);
\end{tikzpicture}%
}}
\DeclareRobustCommand{\rowcondgraph}[5][%
border color=.,%
color=.,%
row player color=.,%
column player color=.,%
]{%
\@setdefaultgraphkey%
\tikzset{graph,#1}%
\raisebox{-0.15em}{%
\begin{tikzpicture}[anchor=center]
% Border.
\draw[draw=\@graphkey{border color},line width=0.02em] (-0.35em,-0.35em) rectangle (0.35em,0.35em);
\draw[draw=\@graphkey{column player color},line width=0.02em] (-0.35em,0.4em) -- (0.35em,0.4em);
% Joint.
\fill[fill=\@graphkey{color},opacity={#2 /(#2 + #3)}] (-0.05em,0.05em) rectangle (-0.3em, 0.3em);
\fill[fill=\@graphkey{color},opacity={#3 /(#2 + #3)}] (0.05em,0.05em) rectangle (0.3em, 0.3em);
\fill[fill=\@graphkey{color},opacity={#4 /(#4 + #5)}] (-0.05em,-0.05em) rectangle (-0.3em, -0.3em);
\fill[fill=\@graphkey{color},opacity={#5 /(#4 + #5)}] (0.05em,-0.05em) rectangle (0.3em, -0.3em);
% Marginal.
\fill[fill=\@graphkey{row player color},opacity={#2 + #3}] (-0.4em,0.05em) rectangle (-0.65em, 0.3em);
\fill[fill=\@graphkey{row player color},opacity={#3 + #5}] (-0.4em,-0.05em) rectangle (-0.65em, -0.3em);
\end{tikzpicture}%
}}
\DeclareRobustCommand{\colcondgraph}[5][%
border color=.,%
color=.,%
row player color=.,%
column player color=.,%
]{%
\@setdefaultgraphkey%
\tikzset{graph,#1}%
\raisebox{-0.15em}{%
\begin{tikzpicture}[anchor=center]
% Border.
\draw[draw=\@graphkey{border color},line width=0.02em] (-0.35em,-0.35em) rectangle (0.35em,0.35em);
\draw[draw=\@graphkey{row player color},line width=0.02em] (-0.4em,-0.35em) -- (-0.4em,0.35em);
% Joint.
\fill[fill=\@graphkey{color},opacity={#2 /(#2 + #4)}] (-0.05em,0.05em) rectangle (-0.3em, 0.3em);
\fill[fill=\@graphkey{color},opacity={#3 /(#3 + #5)}] (0.05em,0.05em) rectangle (0.3em, 0.3em);
\fill[fill=\@graphkey{color},opacity={#4 /(#2 + #4)}] (-0.05em,-0.05em) rectangle (-0.3em, -0.3em);
\fill[fill=\@graphkey{color},opacity={#5 /(#3 + #5)}] (0.05em,-0.05em) rectangle (0.3em, -0.3em);
% Marginal.
\fill[fill=\@graphkey{column player color},opacity={#2 + #4}] (-0.05em,0.4em) rectangle (-0.3em, 0.65em);
\fill[fill=\@graphkey{column player color},opacity={#3 + #5}] (0.05em,0.4em) rectangle (0.3em, 0.65em);
\end{tikzpicture}%
}}
\DeclareRobustCommand{\marginalgraph}[5][]{%
\@setdefaultgraphkey%
\tikzset{%
graph,%
border color=.,%
color=.,%
row player color=.,%
column player color=.,%
#1}%
\raisebox{-0.15em}{%
\begin{tikzpicture}[anchor=center]
\draw[draw=\@graphkey{border color},line width=0.02em] (-0.35em,-0.35em) rectangle (0.35em,0.35em);
% Marginal.
\fill[fill=\@graphkey{row player color},opacity={#2 + #3}] (-0.4em,0.05em) rectangle (-0.65em, 0.3em);
\fill[fill=\@graphkey{row player color},opacity={#3 + #5}] (-0.4em,-0.05em) rectangle (-0.65em, -0.3em);
\fill[fill=\@graphkey{column player color},opacity={#2 + #4}] (-0.05em,0.4em) rectangle (-0.3em, 0.65em);
\fill[fill=\@graphkey{column player color},opacity={#3 + #5}] (0.05em,0.4em) rectangle (0.3em, 0.65em);
\end{tikzpicture}%
}}
\DeclareRobustCommand{\jmgraph}[5][]{%
\@setdefaultgraphkey%
\tikzset{
graph,%
border color=.,%
color=.,%
row player color=.,%
column player color=.,%
#1}%
\raisebox{-0.15em}{%
\begin{tikzpicture}[anchor=center]
% Border.
\draw[draw=\@graphkey{border color},line width=0.02em] (-0.35em,-0.35em) rectangle (0.35em,0.35em);
% Joint.
\fill[fill=\@graphkey{color},opacity=#2] (-0.05em,0.05em) rectangle (-0.3em, 0.3em);
\fill[fill=\@graphkey{color},opacity=#3] (0.05em,0.05em) rectangle (0.3em, 0.3em);
\fill[fill=\@graphkey{color},opacity=#4] (-0.05em,-0.05em) rectangle (-0.3em, -0.3em);
\fill[fill=\@graphkey{color},opacity=#5] (0.05em,-0.05em) rectangle (0.3em, -0.3em);
% Marginal.
\fill[fill=\@graphkey{column player color},opacity=#2+#4] (-0.05em,0.4em) rectangle (-0.3em, 0.65em);
\fill[fill=\@graphkey{column player color},opacity=#3+#5] (0.05em,0.4em) rectangle (0.3em, 0.65em);
\fill[fill=\@graphkey{row player color},opacity=#2+#3] (-0.4em,0.05em) rectangle (-0.65em, 0.3em);
\fill[fill=\@graphkey{row player color},opacity=#4+#5] (-0.4em,-0.05em) rectangle (-0.65em, -0.3em);
\end{tikzpicture}%
}}
\DeclareRobustCommand{\payoffstable}[9][]{%
\@setdefaultgraphkey%
\tikzset{
graph,%
row player color=.,%
column player color=.,%
row player first strategy label=A,%
row player second strategy label=B,%
column player first strategy label=A,%
column player second strategy label=B,%
label=,%
#1}%
\begin{tabular}{c|cc}
\@graphkey{label} & {\color{\@graphkey{column player color}} \@graphkey{column player first strategy label}} & {\color{\@graphkey{column player color}} \@graphkey{column player second strategy label}} \\ \hline
{\color{\@graphkey{row player color}} \@graphkey{row player first strategy label}} & {\color{\@graphkey{row player color}}$#2$}, {\color{\@graphkey{column player color}}$#6$} & {\color{\@graphkey{row player color}}$#3$}, {\color{\@graphkey{column player color}}$#7$} \\
{\color{\@graphkey{row player color}} \@graphkey{row player second strategy label}} & {\color{\@graphkey{row player color}}$#4$}, {\color{\@graphkey{column player color}}$#8$} & {\color{\@graphkey{row player color}}$#5$}, {\color{\@graphkey{column player color}}$#9$} \\
\end{tabular}%
}
\DeclareRobustCommand{\brpayoffstable}[9][]{%
\payoffstable[#1,label={\brgraph[#1]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}}]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}%
}
\DeclareRobustCommand{\ordpayoffstable}[9][]{%
\payoffstable[#1,label={\ordgraph[#1]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}}]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}%
}
\DeclareRobustCommand{\smallpayoffstable}[9][]{%
\@setdefaultgraphkey%
\tikzset{%
graph,%
row player color=.,%
column player color=.,%
#1}%
\ifthenelse{\equal{\@graphkey{row player first strategy color}}{\empty}}{%
\def\rowacolor{\@graphkey{row player color}}%
}{%
\def\rowacolor{\@graphkey{row player first strategy color}}%
}%
\ifthenelse{\equal{\@graphkey{row player second strategy color}}{\empty}}{%
\def\rowbcolor{\@graphkey{row player color}}%
}{%
\def\rowbcolor{\@graphkey{row player second strategy color}}%
}%
\ifthenelse{\equal{\@graphkey{column player first strategy color}}{\empty}}{%
\def\columnacolor{\@graphkey{column player color}}%
}{%
\def\columnacolor{\@graphkey{column player first strategy color}}%
}%
\ifthenelse{\equal{\@graphkey{column player second strategy color}}{\empty}}{%
\def\columnbcolor{\@graphkey{column player color}}%
}{%
\def\columnbcolor{\@graphkey{column player second strategy color}}%
}%
$\begin{bsmallmatrix}{\color{\rowacolor}#2}, {\color{\columnacolor}#6}&{\color{\rowacolor}#3}, {\color{\columnbcolor}#7}\\{\color{\rowbcolor}#4}, {\color{\columnacolor}#8}&{\color{\rowbcolor}#5}, {\color{\columnbcolor}#9}\end{bsmallmatrix}$%
}
\DeclareRobustCommand{\jointtable}[5][]{%
\@setdefaultgraphkey%
\tikzset{%
graph,%
row player color=.,%
column player color=.,%
row player first strategy label=A,%
row player second strategy label=B,%
column player first strategy label=A,%
column player second strategy label=B,%
label=,%
#1}%
\begin{tabular}{c|cc}
\@graphkey{label} & {\color{\@graphkey{column player color}} \@graphkey{column player first strategy label}} & {\color{\@graphkey{column player color}} \@graphkey{column player second strategy label}} \\ \hline
{\color{\@graphkey{row player color}} \@graphkey{row player first strategy label}} & $#2$ & $#3$ \\
{\color{\@graphkey{row player color}} \@graphkey{row player second strategy label}} & $#4$ & $#5$ \\
\end{tabular}%
}
\DeclareRobustCommand{\jgjointtable}[5][%
row player color=.,%
column player color=.,%
row player first strategy label=A,%
row player second strategy label=B,%
column player first strategy label=A,%
column player second strategy label=B,%
label=,%
]{%
\jointtable[#1,label={\jointgraph[#1]{#2}{#3}{#4}{#5}}]{#2}{#3}{#4}{#5}%
}
\DeclareRobustCommand{\rcgjointtable}[5][]{%
\jointtable[#1,label={\rowcondgraph[#1]{#2}{#3}{#4}{#5}}]{#2}{#3}{#4}{#5}%
}
\DeclareRobustCommand{\ccgjointtable}[5][]{%
\jointtable[#1,label={\colcondgraph[#1]{#2}{#3}{#4}{#5}}]{#2}{#3}{#4}{#5}%
}
\DeclareRobustCommand{\mgjointtable}[5][]{%
\jointtable[#1,label={\marginalgraph[#1]{#2}{#3}{#4}{#5}}]{#2}{#3}{#4}{#5}%
}
\DeclareRobustCommand{\jmgjointtable}[5][]{%
\jointtable[#1,label={\jmgraph[#1]{#2}{#3}{#4}{#5}}]{#2}{#3}{#4}{#5}%
}
\newcommand{\@classboundaries}{
% Main boundaries.
\addplot[color=black,opacity=0.1] coordinates {(-1.0,-0.75) (1,-0.75)};
\addplot[color=black,opacity=0.1] coordinates {(-1.0,-0.25) (1,-0.25)};
\addplot[color=black,opacity=0.1] coordinates {(-1.0,0.25) (1,0.25)};
\addplot[color=black,opacity=0.1] coordinates {(-1.0,0.75) (1,0.75)};
\addplot[color=black,opacity=0.1] coordinates {(-0.75,-1.0) (-0.75,1)};
\addplot[color=black,opacity=0.1] coordinates {(-0.25,-1.0) (-0.25,1)};
\addplot[color=black,opacity=0.1] coordinates {(0.25,-1.0) (0.25,1)};
\addplot[color=black,opacity=0.1] coordinates {(0.75,-1.0) (0.75,1)};
% Faint boundaries.
\addplot[color=black,opacity=0.1] coordinates {(-1.1,-0.75) (-1,-0.75)};
\addplot[color=black,opacity=0.1] coordinates {(1,-0.75) (1.1,-0.75)};
\addplot[color=black,opacity=0.1] coordinates {(-1.1,-0.25) (-1,-0.25)};
\addplot[color=black,opacity=0.1] coordinates {(1,-0.25) (1.1,-0.25)};
\addplot[color=black,opacity=0.1] coordinates {(-1.1,0.25) (-1,0.25)};
\addplot[color=black,opacity=0.1] coordinates {(1,0.25) (1.1,0.25)};
\addplot[color=black,opacity=0.1] coordinates {(-1.1,0.75) (-1,0.75)};
\addplot[color=black,opacity=0.1] coordinates {(1,0.75) (1.1,0.75)};
\addplot[color=black,opacity=0.1] coordinates {(-0.75,-1.1) (-0.75,-1)};
\addplot[color=black,opacity=0.1] coordinates {(-0.75,1.0) (-0.75,1.1)};
\addplot[color=black,opacity=0.1] coordinates {(-0.25,-1.1) (-0.25,-1)};
\addplot[color=black,opacity=0.1] coordinates {(-0.25,1.0) (-0.25,1.1)};
\addplot[color=black,opacity=0.1] coordinates {(0.25,-1.1) (0.25,-1)};
\addplot[color=black,opacity=0.1] coordinates {(0.25,1.0) (0.25,1.1)};
\addplot[color=black,opacity=0.1] coordinates {(0.75,-1.1) (0.75,-1)};
\addplot[color=black,opacity=0.1] coordinates {(0.75,1.0) (0.75,1.1)};
}
\newcommand{\@eqboundaries}{
% Fossick Equilibrium.
\addplot+[
only marks,
mark=*,
mark options={solid},
mark size=0.75pt,
color=black,
fill opacity=0.5,
draw opacity=0.0,
]
coordinates {(0.25,0.25) (0.75,0.75) (-0.25,-0.75) (-0.75,-0.25)};
% Left equilibrium.
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.25,0.73) (-0.25,-0.23)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.75,0.23) (0.75,-0.73)};
% Top equilibrium.
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.73,0.75) (0.23,0.75)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.23,-0.25) (0.73,-0.25)};
% Right equilibrium.
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.25,1.0) (0.25,0.77)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.25,-0.27) (0.25,-1.0)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.75,1.0) (-0.75,0.27)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.75,-0.77) (-0.75,-1.0)};
% Bottom equilibrium.
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-1.0,0.25) (-0.27,0.25)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.77,0.25) (1.0,0.25)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-1.0,-0.75) (-0.77,-0.75)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.27,-0.75) (1.0,-0.75)};
% Three-equilibrium.
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.25,0.27) (0.25,0.75) (0.73,0.75)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.27,0.25) (0.75,0.25) (0.75,0.73)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.75,-0.27) (-0.75,-0.75) (-0.27,-0.75)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.73,-0.25) (-0.25,-0.25) (-0.25,-0.73)};
% Faint stuff.
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-1.1,-0.75) (-1,-0.75)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(1,-0.75) (1.1,-0.75)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-1.1,0.25) (-1,0.25)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(1,0.25) (1.1,0.25)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.75,-1.1) (-0.75,-1)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(-0.75,1.0) (-0.75,1.1)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.25,-1.1) (0.25,-1)};
\addplot[color=black,style=semithick,opacity=0.5] coordinates {(0.25,1.0) (0.25,1.1)};
}
\newcommand{\@brgraphs}{
\begin{pgfinterruptboundingbox}
\foreach \x / \xtl / \xtr / \xbl / \xbr in {
-1.0 / -1 / -1 / 1 / 1,
-0.75 / -1 / 0 / 1 / 0,
-0.5 / -1 / 1 / 1 / -1,
-0.25 / 0 / 1 / 0 / -1,
0.0 / 1 / 1 / -1 / -1,
0.25 / 1 / 0 / -1 / 0,
0.5 / 1 / -1 / -1 / 1,
0.75 / 0 / -1 / 0 / 1,
1.0 / -1 / -1 / 1 / 1
}
{
\foreach \y / \ytl / \ytr / \ybl / \ybr in {
-1.0 / -1 / 1 / -1 / 1,
-0.75 / -1 / 1 / 0 / 0,
-0.5 / -1 / 1 / 1 / -1,
-0.25 / 0 / 0 / 1 / -1,
0.0 / 1 / -1 / 1 / -1,
0.25 / 1 / -1 / 0 / 0,
0.5 / 1 / -1 / -1 / 1,
0.75 / 0 / 0 / -1 / 1,
1.0 / -1 / 1 / -1 / 1
}
{
\node[text=\embeddingkey{best-response graph color}] at (\x * \halfaxislength,\y * \halfaxislength) [] {\embeddingkey{best-response graph font size}\brgraph{\xtl}{\xtr}{\xbl}{\xbr}{\ytl}{\ytr}{\ybl}{\ybr}};
}
}
\end{pgfinterruptboundingbox}
}
\newcommand{\@brnames}{
\begin{pgfinterruptboundingbox}
\foreach \x / \xtl / \xtr / \xbl / \xbr in {
-1.0 / -1 / -1 / 1 / 1,
-0.75 / -1 / 0 / 1 / 0,
-0.5 / -1 / 1 / 1 / -1,
-0.25 / 0 / 1 / 0 / -1,
0.0 / 1 / 1 / -1 / -1,
0.25 / 1 / 0 / -1 / 0,
0.5 / 1 / -1 / -1 / 1,
0.75 / 0 / -1 / 0 / 1,
1.0 / -1 / -1 / 1 / 1
}
{
\foreach \y / \ytl / \ytr / \ybl / \ybr in {
-1.0 / -1 / 1 / -1 / 1,
-0.75 / -1 / 1 / 0 / 0,
-0.5 / -1 / 1 / 1 / -1,
-0.25 / 0 / 0 / 1 / -1,
0.0 / 1 / -1 / 1 / -1,
0.25 / 1 / -1 / 0 / 0,
0.5 / 1 / -1 / -1 / 1,
0.75 / 0 / 0 / -1 / 1,
1.0 / -1 / 1 / -1 / 1
}
{
\node[label={[label distance=\embeddingkey{best-response name distance}, text=\embeddingkey{best-response name color}]\embeddingkey{best-response name orientation}:{\embeddingkey{best-response name font size}\brname{\xtl}{\xtr}{\xbl}{\xbr}{\ytl}{\ytr}{\ybl}{\ybr}}}] at (\x * \halfaxislength,\y * \halfaxislength) {};
}
}
\end{pgfinterruptboundingbox}
}
\newif\ifpartialtrivial
\newif\ifsymmetricstrategies
\newif\ifsymmetricplayers
\newif\ifnoclassboundaries
\newif\ifnoeqboundaries
\newif\ifnobrgraphs
\newif\ifnobrnames
\newif\ifnoaxeslabels
\newif\ifnoticklabels
\newcommand{\@setdefaultembeddingkey}{%
\tikzset{
embedding/.is family,
embedding,
width/.initial=\linewidth,
image/.initial=,
matrix/.initial=,
points/.initial=,
axis color/.initial=black,
partial trivial/.is if=partialtrivial,
symmetric strategies/.is if=symmetricstrategies,
symmetric players/.is if=symmetricplayers,
no class boundaries/.is if=noclassboundaries,
no equilibrium boundaries/.is if=noeqboundaries,
no best-response graphs/.is if=nobrgraphs,
best-response graph color/.initial=black,
best-response graph font size/.initial=\scriptsize,
no best-response names/.is if=nobrnames,
best-response name orientation/.initial=-90,
best-response name distance/.initial=-0.1em,
best-response name color/.initial=black!70,
best-response name font size/.initial=\tiny,
no axes labels/.is if=noaxeslabels,
no tick labels/.is if=noticklabels,
}%
}
\@setdefaultembeddingkey
\newcommand{\embeddingkey}[1]{\pgfkeysvalueof{/tikz/embedding/#1}}
\DeclareRobustCommand{\nontrivialembedding}[1][]{%
\@setdefaultembeddingkey%
\tikzset{embedding,#1}%
\ifpartialtrivial%
\pgfmathsetlengthmacro{\axislength}{\embeddingkey{width}*0.792}% 0.9*0.88
\else
\pgfmathsetlengthmacro{\axislength}{\embeddingkey{width}*0.9}%
\fi
\pgfmathsetlengthmacro{\halfaxislength}{\axislength*0.5}%
\ifsymmetricplayers \else \ifsymmetricstrategies \else
\begin{tikzpicture}[
/pgfplots/y=\halfaxislength,
/pgfplots/x=\halfaxislength
]%
\begin{axis}[
anchor=origin,
axis lines = middle,
xmin=-1.1, xmax=+1.1,
ymin=-1.1, ymax=+1.1,
xticklabels=\ifnoticklabels\empty\else{$-\pi$,$+\pi$}\fi,
xtick={-1.0,+1.0},
yticklabels=\ifnoticklabels\empty\else{$-\pi$,$+\pi$}\fi,
ytick={-1.0,+1.0},
x tick label style={yshift={-0.5em}},
xlabel =\ifnoaxeslabels\empty\else{$\theta_r$}\fi,
ylabel = \ifnoaxeslabels\empty\else{$\theta_c$}\fi,
xmajorgrids=true,
ymajorgrids=true,
axis line style={%
\embeddingkey{axis color},%
opacity=0.2,%
},
grid style={%
dashed,%
black,%
opacity=0.2,%
},
axis on top,
]
\ifthenelse{\equal{\embeddingkey{image}}{}}{}{%
\node[inner sep=0pt] (mxm) at (axis cs:0,0) {%
\includegraphics[width=\axislength]{\embeddingkey{image}}};
}
\ifthenelse{\equal{\embeddingkey{matrix}}{}}{}{%
\addplot[
matrix plot*,%
point meta=explicit,%
] file[]{\embeddingkey{matrix}};
}
\ifthenelse{\equal{\embeddingkey{points}}{}}{}{%
\addplot[%
scatter,%
only marks,%
mark size=0.1em,%
scatter src=explicit,%
scatter/use mapped color={draw opacity=0,fill=mapped color},%
] table[x=pitheta1,y=pitheta2,meta=color]{\embeddingkey{points}};
}
\ifnoclassboundaries \else \@classboundaries \fi
\ifnoeqboundaries \else \@eqboundaries \fi
\end{axis}%
\ifnobrgraphs \else \@brgraphs \fi
\ifnobrnames \else \@brnames \fi
\end{tikzpicture}%
\fi \fi%
}
% Assume that the final width of a plot has an additional bias.
% measuredWidth = candidateWidth + bias
%
% Try an initial guess using the targetWidth.
% measuredWidth = targetWidth + bias
%
% What candidateWidth will result in the targetWidth?
% targetWidth = candidateWidth + bias
% candidateWidth = targetWidth - bias
% = targetWidth - (targetWidth + measuredWidth)
% = 2*targetWidth - measuredWidth
\newsavebox{\@candidateBox}
\newcommand{\@reWidthToTargetWidth}[3]{%
\pgfmathsetmacro{\@targetWidth}{#3}%
\pgfmathsetmacro{\@setWidth}{#3}%
\begin{lrbox}{\@candidateBox}{\tikzset{external/export=false}#2}\end{lrbox}%
\pgfmathsetmacro{\@setWidth}{2*\@targetWidth-\wd\@candidateBox}%
#1%
}
\newcommand{\@reScaleToTargetWidth}[3]{%
\pgfmathsetmacro{\@targetWidth}{#3}%
\pgfmathsetmacro{\@setWidth}{#3}%
\pgfmathsetmacro{\@setScale}{4}%
\begin{lrbox}{\@candidateBox}{\tikzset{external/export=false}#2}\end{lrbox}%
\pgfmathsetmacro{\@setScale}{\@setScale*\@targetWidth/\wd\@candidateBox}%
#1%
}
\newif\ifnocontent
\newcommand{\@setdefaultmarginalsimplexkey}{%
\tikzset{
marginalsimplex/.is family,%
marginalsimplex,%
width/.initial=\linewidth,%
scale/.initial=1.0,%
row player label/.initial={\footnotesize Row Player},%
column player label/.initial={\footnotesize Column Player},%
row player first strategy label/.initial={\footnotesize A},%
row player second strategy label/.initial={\footnotesize B},%
column player first strategy label/.initial={\footnotesize A},%
column player second strategy label/.initial={\footnotesize B},%
points/.initial=,%
regions/.initial=,%
contour/.initial=,%
heatmap/.initial=,%
quiver/.initial=,%
quiver scale arrows/.initial=0.1,%
streams/.initial=,%
no content/.is if=nocontent,%
epsilon/.initial=0.01,%
samples/.initial=41,%
}%
}
\@setdefaultmarginalsimplexkey
\newcommand{\marginalsimplexkey}[1]{\pgfkeysvalueof{/tikz/marginalsimplex/#1}}
\DeclareRobustCommand{\marginalsimplex}[1][]{%
\tikzset{marginalsimplex,#1} % Process Keys passed to command
\@reWidthToTargetWidth{%
\marginalsimplexIMPL[#1]}{%
\marginalsimplexIMPL[#1,no content]}{%
\marginalsimplexkey{width}}%
\@setdefaultmarginalsimplexkey%
}
\DeclareRobustCommand{\marginalsimplexIMPL}[1][]{%
\begin{tikzpicture}[
/pgfplots/y=\@setWidth,
/pgfplots/x=\@setWidth
]%
\begin{axis}[
anchor=origin,
axis y line=middle,
axis x line=middle,
axis line style={-},
xmin=-0.0, xmax=+1.0,
ymin=-0.0, ymax=+1.0,
xmajorticks=false,
ymajorticks=false,
xtick={0.0,+1.0},
ytick={0.0,+1.0},
xlabel = {\marginalsimplexkey{column player label}},
ylabel = {\marginalsimplexkey{row player label}},
x label style={at={(axis description cs:0.5,-0.0)},anchor=north},
y label style={at={(axis description cs:-0.0,.5)},rotate=90,anchor=south},
xmajorgrids=true,
ymajorgrids=true,
scaled ticks=false,
xtick style={black},
ytick style={black},
grid style={%
solid,%
black,%
},
axis on top,
after end axis/.code={
\path (axis cs:0,0)
node [anchor=east] {\marginalsimplexkey{row player second strategy label}}
node [anchor=north] {\marginalsimplexkey{column player second strategy label}};
\path (axis cs:0,1)
node [anchor=east] {\marginalsimplexkey{row player first strategy label}};
\path (axis cs:1,0)
node [anchor=north] {\marginalsimplexkey{column player first strategy label}};
},
view={0}{90},
]
\tikzset{marginalsimplex,#1}
\ifnocontent \else
\ifthenelse{\equal{\marginalsimplexkey{quiver}}{}}{}{%
% First (Row) player is y[j], v[j,:]
% Second (Column) player is x[j], u[:,i]
% u and v are indexed [y,x]
\addplot[
quiver={
u=\thisrow{u},
v=\thisrow{v},
w=1,% 3 looked strange...
scale arrows=\marginalsimplexkey{quiver scale arrows},
},
-stealth,
black,
] table {\marginalsimplexkey{quiver}};
}
\ifthenelse{\equal{\marginalsimplexkey{heatmap}}{}}{}{%
\addplot[
matrix plot*,%
point meta=explicit,%
] file[]{\marginalsimplexkey{heatmap}};
}
\ifthenelse{\equal{\marginalsimplexkey{points}}{}}{}{%
\addplot[%
scatter,%
only marks,%
mark size=0.1em,%
scatter src=explicit,%
scatter/use mapped color={draw opacity=0,fill=mapped color},%
] table[x=x,y=y,meta=c]{\marginalsimplexkey{points}};
}
\fi
\end{axis}%
\end{tikzpicture}%
}
\newif\ifdebugname
\newif\ifdebugaxes
\newif\ifdebugcamera
\newif\ifnoequilibria
\newcommand{\@setdefaultpolytopekey}{%
\tikzset{
polytope/.is family,
polytope,
width/.initial=\linewidth,
ne color/.initial=blue,
ce color/.initial=purple,
row player first strategy label/.initial={\scriptsize A},%
row player second strategy label/.initial={\scriptsize B},%
column player first strategy label/.initial={\scriptsize A},%
column player second strategy label/.initial={\scriptsize B},%
rotate x/.initial=60,%
rotate z/.initial=35,%
debug name/.is if=debugname,%
debug axes/.is if=debugaxes,%
debug camera/.is if=debugcamera,%
no equilibria/.is if=noequilibria,%
segments/.initial=6,%
}%
}
\@setdefaultpolytopekey
\newcommand{\@polytopekey}[1]{\pgfkeysvalueof{/tikz/polytope/#1}}
\pgfmxfpdeclarefunction{barytocartx}{4}{
{(#1 * -0.5) + (#2 * 0.5) + (#3 * 0) + (#4 * 0)}
}
\pgfmxfpdeclarefunction{barytocarty}{4}{
{(#1 * -sqrt(3)/6) + (#2 * -sqrt(3)/6) + (#3 * sqrt(3)/3) + (#4 * 0)}
}
\pgfmxfpdeclarefunction{barytocartz}{4}{
{(#1 * -sqrt(6)/12) + (#2 * -sqrt(6)/12) + (#3 * -sqrt(6)/12) + (#4 * sqrt(6)/4)}
}
\DeclareRobustCommand{\polytope}[9][]{%
\tikzset{polytope,#1}%
\@reScaleToTargetWidth{%
\polytopeIMPL[#1]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}}{%
\polytopeIMPL[#1,no equilibria]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}}{%
\@polytopekey{width}}%
\@setdefaultpolytopekey%
}
\DeclareRobustCommand{\polytopeIMPL}[9][]{%
\tdplotsetmaincoords{\@polytopekey{rotate x}}{\@polytopekey{rotate z}}%
\begin{tikzpicture}[
scale=\@setScale,%
tdplot_main_coords,%
]%
% Process keys here to allow caching to update.
\tikzset{polytope,#1}
% Simplex points.
\pgfmathsetlengthmacro{\ox}{{0.0}}
\pgfmathsetlengthmacro{\oy}{{0.0}}
\pgfmathsetlengthmacro{\oz}{{0.0}}
\pgfmathsetlengthmacro{\aax}{{ -0.5}}
\pgfmathsetlengthmacro{\aay}{{-sqrt(3)/6}}
\pgfmathsetlengthmacro{\aaz}{{-sqrt(6)/12}}
\pgfmathsetlengthmacro{\abx}{{0.5}}
\pgfmathsetlengthmacro{\aby}{{-sqrt(3)/6}}
\pgfmathsetlengthmacro{\abz}{{-sqrt(6)/12}}
\pgfmathsetlengthmacro{\bax}{{0.0}}
\pgfmathsetlengthmacro{\bay}{{sqrt(3)/3}}
\pgfmathsetlengthmacro{\baz}{{-sqrt(6)/12}}
\pgfmathsetlengthmacro{\bbx}{{0.0}}
\pgfmathsetlengthmacro{\bby}{{0.0}}
\pgfmathsetlengthmacro{\bbz}{{sqrt(6)/4}}
\@perspectiveline[line width scale=0.4, layer scale=1.1]{\aax}{\aay}{\aaz}{\abx}{\aby}{\abz}
\@perspectiveline[line width scale=0.4, layer scale=1.1]{\aax}{\aay}{\aaz}{\bax}{\bay}{\baz}
\@perspectiveline[line width scale=0.4, layer scale=1.1]{\aax}{\aay}{\aaz}{\bbx}{\bby}{\bbz}
\@perspectiveline[line width scale=0.4, layer scale=1.1]{\abx}{\aby}{\abz}{\bax}{\bay}{\baz}
\@perspectiveline[line width scale=0.4, layer scale=1.1]{\abx}{\aby}{\abz}{\bbx}{\bby}{\bbz}
\@perspectiveline[line width scale=0.4, layer scale=1.1]{\bax}{\bay}{\abz}{\bbx}{\bby}{\bbz}
\ifdebugaxes
\draw[thick,->] (0,0,0) -- (1,0,0) node[anchor=north east]{$x$};
\draw[thick,->] (0,0,0) -- (0,1,0) node[anchor=north west]{$y$};
\draw[thick,->] (0,0,0) -- (0,0,1) node[anchor=south]{$z$};
\else \fi
\point[%
color=black,size=0pt,%
label=\@polytopekey{row player first strategy label}\@polytopekey{column player first strategy label},%
label position=below,%
]{1}{0}{0}{0}
\point[%
color=black,size=0pt,%
label=\@polytopekey{row player first strategy label}\@polytopekey{column player second strategy label},%
]{0}{1}{0}{0}
\point[%
color=black,size=0pt,%
label=\@polytopekey{row player second strategy label}\@polytopekey{column player first strategy label},%
]{0}{0}{1}{0}
\point[%
color=black,size=0pt,%
label=\@polytopekey{row player second strategy label}\@polytopekey{column player second strategy label},%
]{0}{0}{0}{1}
\ifdebugcamera
\@cameraline{}
\else \fi
\ifnoequilibria \else
\eqpolytope[]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9}
\fi
\end{tikzpicture}%
}
% REMOVE ME?
\newcommand{\@setdefaulteqpolytopekey}{%
\tikzset{
eqpolytope/.is family,
eqpolytope,
}%
}
\@setdefaulteqpolytopekey
\newcommand{\@eqpolytopekey}[1]{\pgfkeysvalueof{/tikz/eqpolytope/#1}}
\DeclareRobustCommand{\eqpolytope}[9][]{%
\tikzset{eqpolytope,#1}
% Scale macros.
\pgfmathsetmacro{\scola}{{abs(#2 - #4)}} % scale col first, |g_1^{A-B,A}|
\pgfmathsetmacro{\scolb}{{abs(#3 - #5)}} % scale col second, |g_1^{A-B,B}|
\pgfmathsetmacro{\srowa}{{abs(#6 - #7)}} % scale col first, |g_2^{A,A-B}|
\pgfmathsetmacro{\srowb}{{abs(#8 - #9)}} % scale col second, |g_2^{B,A-B}|
\pgfmathsetmacro{\saa}{\srowa * \scola}
\pgfmathsetmacro{\sab}{\srowa * \scolb}
\pgfmathsetmacro{\sba}{\srowb * \scola}
\pgfmathsetmacro{\sbb}{\srowb * \scolb}
% \@setScaling{1.0}{1.0}{1.0}{1.0} % Default scaling.
\ifthenelse{\lengthtest{#2 pt = #4 pt}}{%#2 = #4
\ifthenelse{\lengthtest{#3 pt = #5 pt}}{%#3 = #5
\ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% eeee
% Zero,Null
\ifdebugname
\point[label=eeee]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{0}{1}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{0}{0}{1}
% NE
\def\n{6}
\foreach \i in {0,...,\n} {
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1*\i/\n}{0}{1 - 1*\i/\n}{0}{0}{1*\i/\n}{0}{1 - 1*\i/\n}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1*\i/\n}{1-1*\i/\n}{0}{0}{0}{0}{1*\i/\n}{1-1*\i/\n}
}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% eeeg
\ifdebugname
\point[label=eeeg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{1}{0}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{1}{0}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{1}{0}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{1}{0}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{1}{0}{0}{0}
}{%#8 < #9
% eeel
\ifdebugname
\point[label=eeel]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{1}{0}{0}
}
}
}{
\ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% eege
\ifdebugname
\point[label=eege]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{0}{1}{0}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% eegg
\ifdebugname
\point[label=eegg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
}{%#8 < #9
% eegl
\ifdebugname
\point[label={eegl}]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
% (C)CE
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0.5}{0}{0.5}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.5}{0}{0.5}{0}
\@setBaryPointsB{0.0}{0.5}{0.0}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.0}{0.5}{0.0}{0.5}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0}{0.5}{0}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0}{0}{1}
\@setBaryPointsB{0.5}{0.0}{0.5}{0.0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0.5}{0}{0.5}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\@setBaryPointsA{0.5}{0}{0.5}{0}
\@setBaryPointsB{0.0}{0.5}{0.0}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\@setBaryPointsA{0.0}{0.5}{0.0}{0.5}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
}
}
}{%#6 < #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% eele
\ifdebugname
\point[label=eele]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{1}{0}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{1}{0}{0}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% eelg
% Horseplay
\ifdebugname
\point[label=eelg]{0.333}{0.333}{0.333}{0.333}
\else \fi
%
\@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
% (C)CE
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0}{0.5}{0}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0.5}{0}{0.5}
\@setBaryPointsB{0.5}{0}{0.5}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.5}{0}{0.5}{0}
\@setBaryPointsB{0}{0}{1}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0.5}{0}{0.5}
\@setBaryPointsB{0}{0}{1}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0.5}{0}{0.5}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0}{0.5}{0}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\@setBaryPointsA{0}{0.5}{0}{0.5}
\@setBaryPointsB{0.5}{0}{0.5}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\@setBaryPointsA{0.5}{0}{0.5}{0}
\@setBaryPointsB{0}{0}{1}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
}{%#8 < #9
% eell
% Ignorance.
\ifdebugname
\point[label=eell]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{0}{0}{0}{1}
}
}
}
}
}{
\ifthenelse{\lengthtest{#3 pt > #5 pt}}{%#3 > #5
\ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% egee
\ifdebugname
\point[label=egee]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{1}{0}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{1}{0}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{1}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{1}{0}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{1}{0}{0}{0}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% egeg
\ifdebugname
\point[label=egeg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{1}{0}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{1}{0}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{1}{0}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{1}{0}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{1}{0}{0}{0}
}{%#8 < #9
% egel
% Heist
\ifdebugname
\point[label=egel]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
}
}
}{
\ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% egge
\ifdebugname
\point[label=egge]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% eggg
\ifdebugname
\point[label=eggg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
}{%#8 < #9
% eggl
\ifdebugname
\point[label=eggl]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
% (C)CE / NE Edges.
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0.5}{0}{0.5}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
}
}
}{%#6 < #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% egle
\ifdebugname
\point[label=egle]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{1}{0}
% NE
\point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% eglg
\ifdebugname
\point[label=eglg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
% (C)CE
\@setBaryPointsA{0}{0}{1}{0}
\@setBaryPointsB{0.5}{0}{0.5}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0}{0}{1}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.5}{0}{0.5}{0}
\@setBaryPointsB{0}{1}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\@setBaryPointsA{0}{0}{1}{0}
\@setBaryPointsB{0.5}{0}{0.5}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}
}{%#8 < #9
% egll
\ifdebugname
\point[label=egll]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{1}{0}{0}%(C)CE
}
}
}
}
}{%#3 < #5
\ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% elee
\ifdebugname
\point[label=elee]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{0}{1}{0}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% eleg
\ifdebugname
\point[label=eleg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
}{%#8 < #9
% elel
\ifdebugname
\point[label=elel]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
% NE
\point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}
}
}
}{
\ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% elge
\ifdebugname
\point[label=elge]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{0}{1}{0}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% elgg
\ifdebugname
\point[label=llgg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{1}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{0}{1}{0}
}{%#8 < #9
% elgl
\ifdebugname
\point[label=elgl]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
% (C)CE / NE Edges.
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0.5}{0}{0.5}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.5}{0}{0.5}{0}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}
}
}
}{%#6 < #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% elle
% Heist.
\ifdebugname
\point[label=elle]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{0}{0}{0}{1}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% ellg
\ifdebugname
\point[label=ellg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
% (C)CE / NE Edges.
\@setBaryPointsA{0}{0}{1}{0}
\@setBaryPointsB{0}{0.5}{0.5}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
}{%#8 < #9
% elll
\ifdebugname
\point[label=elll]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{0}{0}{1}%(C)CE
}
}
}
}
}
}
}{
\ifthenelse{\lengthtest{#2 pt > #4 pt}}{%#2 > #4
\ifthenelse{\lengthtest{#3 pt = #5 pt}}{%#3 = #5
\ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% geee
\ifdebugname
\point[label=geee]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{1}{0}{0}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% geeg
%Heist.
\ifdebugname
\point[label=geeg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
}{%#8 < #9
% geel
\ifdebugname
\point[label=geel]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{1}{0}{0}
}
}
}{
\ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% gege
\ifdebugname
\point[label=gege]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{0}{0}{1}
% NE
\point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% gegg
\ifdebugname
\point[label=gegg]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{1}{0}{0}{0}%(C)CE
}{%#8 < #9
% gegl
\ifdebugname
\point[label=gegl]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
% (C)CE / NE Edges.
\@setBaryPointsA{0}{0}{0}{1}
\@setBaryPointsB{0}{0.5}{0}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0.5}{0}{0.5}
\@setBaryPointsB{1}{0}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}
}
}
}{%#6 < #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% gele
% Heist.
\ifdebugname
\point[label=gele]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{0}{0}{0}{1}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% gelg
\ifdebugname
\point[label=gelg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
% (C)CE / NE Edges.
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0}{0.5}{0}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
}{%#8 < #9
% gell
% Aidous
\ifdebugname
\point[label=gell]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{0}{0}{0}{1}
}
}
}
}
}{
\ifthenelse{\lengthtest{#3 pt > #5 pt}}{%#3 > #5
\ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% ggee
\ifdebugname
\point[label=ggee]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% ggeg
% Aidos
\ifdebugname
\point[label=ggeg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
}{%#8 < #9
% ggel
% Aidos
\ifdebugname
\point[label=ggel]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{1}{0}{0}{0}{0}{1}{0}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{1}{0}{0}{0}{0}{1}{0}{0}
}
}
}{
\ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% ggge
\ifdebugname
\point[label=ggge]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{1}{0}{0}{0}%(C)CE
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% gggg
\ifdebugname
\point[label=gggg]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{1}{0}{0}{0}%(C)CE
}{%#8 < #9
% gggl
\ifdebugname
\point[label=gggl]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{1}{0}{0}{0}%(C)CE
}
}
}{%#6 < #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% ggle
\ifdebugname
\point[label=ggle]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{1}{0}{0}%(C)CE
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% gglg
\ifdebugname
\point[label=gglg]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{1}{0}{0}%(C)CE
}{%#8 < #9
% ggll
\ifdebugname
\point[label=ggll]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{1}{0}{0}%(C)CE
}
}
}
}
}{%#3 < #5
\ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% glee
\ifdebugname
\point[label=glee]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\scola}{\scolb}{\scola}{\scolb}
% (C)CE
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0.5}{0.5}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.5}{0.5}{0}{0}
\@setBaryPointsB{0}{0}{0.5}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0}{0.5}{0.5}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0}{0}{0.5}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0}{0}{1}
\@setBaryPointsB{0.5}{0.5}{0}{0.0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0.5}{0.5}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\@setBaryPointsA{0.5}{0.5}{0}{0}
\@setBaryPointsB{0}{0}{0.5}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\@setBaryPointsA{0}{0}{0.5}{0.5}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% gleg
% Hazard.
\ifdebugname
\point[label=gleg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\scola}{\scolb}{\scola}{\scolb}
% (C)CE / NE Edges.
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0.5}{0.5}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
}{%#8 < #9
% glel
\ifdebugname
\point[label=glel]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\scola}{\scolb}{\scola}{\scolb}
% (C)CE / NE Edges.
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0.5}{0.5}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.5}{0.5}{0}{0}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}
}
}
}{
\ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% glge
\ifdebugname
\point[label=glge]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\scola}{\scolb}{\scola}{\scolb}
% (C)CE / NE Edges.
\@setBaryPointsA{0}{0}{0}{1}
\@setBaryPointsB{0}{0}{0.5}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0}{0.5}{0.5}
\@setBaryPointsB{1}{0}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% glgg
\ifdebugname
\point[label=glgg]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{1}{0}{0}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{1}{0}{0}{0}%(C)CE
}{%#8 < #9
% glgl
% Diagonal Coordination.
\ifdebugname
\point[label=glgl]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\saa}{\sab}{\sba}{\sbb}
% (C)CE
\@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
\@setBaryPointsB{1/3}{0}{1/3}{1/3}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
\@setBaryPointsB{1/3}{1/3}{0}{1/3}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
\@setBaryPointsB{1}{0}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{1/3}{1/3}{0}{1/3}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0}{0}{1}
\@setBaryPointsB{1/3}{1/3}{0}{1/3}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0}{0}{1}
\@setBaryPointsB{1/3}{0}{1/3}{1/3}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{1/3}{0}{1/3}{1/3}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{1}{0}{0}{0}
\@setBaryPointsB{0}{0}{0}{1}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\@setBaryPointsA{1}{0}{0}{0}
\@scaledPointA[color=\@polytopekey{ne color},size=3pt]
\@setBaryPointsA{0}{0}{0}{1}
\@scaledPointA[color=\@polytopekey{ne color},size=3pt]
\@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
\@scaledPointA[color=\@polytopekey{ne color},size=3pt]
}
}
}{%#6 < #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% glle
\ifdebugname
\point[label=glle]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\scola}{\scolb}{\scola}{\scolb}
% (C)CE / NE Edges.
\@setBaryPointsA{0}{0}{0}{1}
\@setBaryPointsB{0}{0}{0.5}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% gllg
% Clockwise cycle
\ifdebugname
\point[label=gllg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% NE and (C)CE
\@setScaling{\saa}{\sab}{\sba}{\sbb}
\@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
\@scaledPointA[color=\@polytopekey{ne color},size=3pt]
\@scaledPointA[color=\@polytopekey{ce color},size=2pt]
}{%#8 < #9
% glll
\ifdebugname
\point[label=glll]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{0}{0}{1}%(C)CE
}
}
}
}
}
}
}{%#2 < #4
\ifthenelse{\lengthtest{#3 pt = #5 pt}}{%#3 = #5
\ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% leee
\ifdebugname
\point[label=leee]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{1}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{0}{1}{0}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% leeg
\ifdebugname
\point[label=leeg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{1}{0}
% NE
\point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
}{%#8 < #9
% leel
% Heist
\ifdebugname
\point[label=leel]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{0}{0}{0}{1}
}
}
}{
\ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% lege
% Heist
\ifdebugname
\point[label=lege]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{0}{0}{0}{1}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% legg
\ifdebugname
\point[label=legg]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{0}{1}{0}%(C)CE
}{%#8 < #9
% legl
\ifdebugname
\point[label=legl]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
% (C)CE / NE Edges.
\@setBaryPointsA{0}{0}{0}{1}
\@setBaryPointsB{0}{0.5}{0}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
}
}
}{%#6 < #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% lele
\ifdebugname
\point[label=lele]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{0}{1}{0}{0}{1}{0}
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{1}{0}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{1}{0}{0}
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{0}{1}{0}{0}{1}{0}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% lelg
\ifdebugname
\point[label=lelg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\srowa}{\srowa}{\srowb}{\srowb}
% (C)CE
\@setBaryPointsA{0}{0}{1}{0}
\@setBaryPointsB{0}{0.5}{0}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0}{0}{1}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0.5}{0}{0.5}
\@setBaryPointsB{0}{1}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0}{0.5}{0}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}
}{%#8 < #9
% lell
% Aidos
\ifdebugname
\point[label=lell]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{1}{0}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{1}{0}{0}{0}{0}{0}{1}
}
}
}
}
}{
\ifthenelse{\lengthtest{#3 pt > #5 pt}}{%#3 > #5
\ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% lgee
% Horseplay
\ifdebugname
\point[label=lgee]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\scola}{\scolb}{\scola}{\scolb}
% (C)CE
\@setBaryPointsA{0}{0}{1}{0}
\@setBaryPointsB{0}{0}{0.5}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0}{0.5}{0.5}
\@setBaryPointsB{0.5}{0.5}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.5}{0.5}{0}{0}
\@setBaryPointsB{0}{1}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0}{0.5}{0.5}
\@setBaryPointsB{0}{1}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0}{1}{0}
\@setBaryPointsB{0.5}{0.5}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\@setBaryPointsA{0}{0}{1}{0}
\@setBaryPointsB{0}{0}{0.5}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\@setBaryPointsA{0}{0}{0.5}{0.5}
\@setBaryPointsB{0.5}{0.5}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\@setBaryPointsA{0.5}{0.5}{0}{0}
\@setBaryPointsB{0}{1}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% lgeg
\ifdebugname
\point[label=lgeg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\scola}{\scolb}{\scola}{\scolb}
% (C)CE
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0.5}{0.5}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0}{0}{1}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.5}{.5}{0}{0}
\@setBaryPointsB{0}{0}{1}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0.5}{0.5}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}
}{%#8 < #9
% lgel
\ifdebugname
\point[label=lgel]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\scola}{\scolb}{\scola}{\scolb}
% (C)CE / NE Edges.
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0.5}{0.5}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
}
}
}{
\ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% lgge
\ifdebugname
\point[label=lgge]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\scola}{\scolb}{\scola}{\scolb}
% (C)CE / NE Edges.
\@setBaryPointsA{0}{0}{1}{0}
\@setBaryPointsB{0}{0}{0.5}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% lggg
\ifdebugname
\point[label=lggg]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{0}{1}{0}%(C)CE
}{%#8 < #9
% lggl
% Anti-clockwise Cycle.
\ifdebugname
\point[label=lggl]{0.333}{0.333}{0.333}{0.333}
\else \fi
% NE
\@setScaling{\saa}{\sab}{\sba}{\sbb}
\@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
\@scaledPointA[color=\@polytopekey{ne color},size=3pt]
\@scaledPointA[color=\@polytopekey{ce color},size=2pt]
}
}
}{%#3 < #5
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% lgle
\ifdebugname
\point[label=lgle]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\scola}{\scolb}{\scola}{\scolb}
% (C)CE
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0}{0}{0.5}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0}{0}{1}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0}{0.5}{0.5}
\@setBaryPointsB{0}{0}{1}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\@setBaryPointsA{0}{0}{1}{0}
\@setBaryPointsB{0}{0}{0.5}{0.5}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ne color},line style=dotted]
\point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% lglg
% Off-Diagonal Coordination.
\ifdebugname
\point[label=lglg]{0.333}{0.333}{0.333}{0.333}
\else \fi
% Scaling.
\@setScaling{\saa}{\sab}{\sba}{\sbb}
% (C)CE
\@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
\@setBaryPointsB{0}{1/3}{1/3}{1/3}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
\@setBaryPointsB{1/3}{1/3}{1/3}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
\@setBaryPointsB{0}{1}{0}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
\@setBaryPointsB{0}{0}{1}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{1/3}{1/3}{1/3}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0}{1}{0}
\@setBaryPointsB{1/3}{1/3}{1/3}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{0}{1}{0}
\@setBaryPointsB{0}{1/3}{1/3}{1/3}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0}{1/3}{1/3}{1/3}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
\@setBaryPointsA{0}{1}{0}{0}
\@setBaryPointsB{0}{0}{1}{0}
\@scaledBaryPerspectiveLineAB[color=\@polytopekey{ce color}]
% NE
\@setBaryPointsA{0}{1}{0}{0}
\@scaledPointA[color=\@polytopekey{ne color},size=3pt]
\@setBaryPointsA{0}{0}{1}{0}
\@scaledPointA[color=\@polytopekey{ne color},size=3pt]
\@setBaryPointsA{0.25}{0.25}{0.25}{0.25}
\@scaledPointA[color=\@polytopekey{ne color},size=3pt]
}{%#8 < #9
% lgll
\ifdebugname
\point[label=lgll]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{1}{0}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{1}{0}{0}%(C)CE
}
}
}
}
}{%#3 < #5
\ifthenelse{\lengthtest{#6 pt = #7 pt}}{%#6 = #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% llee
% Ignorance.
\ifdebugname
\point[label=llee]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{0}{0}{0}{1}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% lleg
\ifdebugname
\point[label=lleg]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{0}{1}{0}%(C)CE
}{%#8 < #9
% llel
\ifdebugname
\point[label=llel]{0.333}{0.333}{0.333}{0.333}
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{0}{0}{1}%(C)CE
}
}
}{
\ifthenelse{\lengthtest{#6 pt > #7 pt}}{%#6 > #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% llge
% Aidos.
\ifdebugname
\point[label=llge]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{0}{0}{0}{1}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% llgg
\ifdebugname
\point[label=llgg]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{0}{1}{0}%(C)CE
}{%#8 < #9
% llgl
\ifdebugname
\point[label=llgl]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{0}{0}{1}%(C)CE
}
}
}{%#6 < #7
\ifthenelse{\lengthtest{#8 pt = #9 pt}}{%#8 = #9
% llle
% Aidos.
\ifdebugname
\point[label=llle]{0.333}{0.333}{0.333}{0.333}
\else \fi
% (C)CE
\@baryperspectiveline[color=\@polytopekey{ce color}]{0}{0}{1}{0}{0}{0}{0}{1}
% NE
\@baryperspectiveline[color=\@polytopekey{ne color},line style=dotted]{0}{0}{1}{0}{0}{0}{0}{1}
}{
\ifthenelse{\lengthtest{#8 pt > #9 pt}}{%#8 > #9
% lllg
\ifdebugname
\point[label=lllg]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{1}{0}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{0}{1}{0}%(C)CE
}{%#8 < #9
% llll
\ifdebugname
\point[label=llll]{0.333}{0.333}{0.333}{0.333}
\else \fi
\point[color=\@polytopekey{ne color},size=3pt]{0}{0}{0}{1}%NE
\point[color=\@polytopekey{ce color},size=2pt]{0}{0}{0}{1}%(C)CE
}
}
}
}
}
}
}
}
}
% Layers.
\pgfdeclarelayer{layer0}
\pgfdeclarelayer{layer1}
\pgfdeclarelayer{layer2}
\pgfdeclarelayer{layer3}
\pgfdeclarelayer{layer4}
\pgfdeclarelayer{layer5}
\pgfdeclarelayer{layer6}
\pgfdeclarelayer{layer7}
\pgfdeclarelayer{layer8}
\pgfdeclarelayer{layer9}
\pgfdeclarelayer{layer10}
\pgfdeclarelayer{layer11}
\pgfdeclarelayer{layer12}
\pgfdeclarelayer{layer13}
\pgfdeclarelayer{layer14}
\pgfdeclarelayer{layer15}
\pgfdeclarelayer{layer16}
\pgfdeclarelayer{layer17}
\pgfdeclarelayer{layer18}
\pgfdeclarelayer{layer19}
\pgfdeclarelayer{layer20}
\pgfdeclarelayer{layer21}
\pgfdeclarelayer{layer22}
\pgfdeclarelayer{layer23}
\pgfdeclarelayer{layer24}
\pgfdeclarelayer{layer25}
\pgfdeclarelayer{layer26}
\pgfdeclarelayer{layer27}
\pgfdeclarelayer{layer28}
\pgfdeclarelayer{layer29}
\pgfdeclarelayer{layer30}
\pgfdeclarelayer{layer31}
\pgfdeclarelayer{layer32}
\pgfdeclarelayer{layer33}
\pgfdeclarelayer{layer34}
\pgfdeclarelayer{layer35}
\pgfdeclarelayer{layer36}
\pgfdeclarelayer{layer37}
\pgfdeclarelayer{layer38}
\pgfdeclarelayer{layer39}
\pgfdeclarelayer{layer40}
\pgfdeclarelayer{layer41}
\pgfdeclarelayer{layer42}
\pgfdeclarelayer{layer43}
\pgfdeclarelayer{layer44}
\pgfdeclarelayer{layer45}
\pgfdeclarelayer{layer46}
\pgfdeclarelayer{layer47}
\pgfdeclarelayer{layer48}
\pgfdeclarelayer{layer49}
\pgfsetlayers{
layer49,%
layer48,%
layer47,%
layer46,%
layer45,%
layer44,%
layer43,%
layer42,%
layer41,%
layer40,%
layer39,%
layer38,%
layer37,%
layer36,%
layer35,%
layer34,%
layer33,%
layer32,%
layer31,%
layer30,%
layer29,%
layer28,%
layer27,%
layer26,%
layer25,%
layer24,%
layer23,%
layer22,%
layer21,%
layer20,%
layer19,%
layer18,%
layer17,%
layer16,%
layer15,%
layer14,%
layer13,%
layer12,%
layer11,%
layer10,%
layer9,%
layer8,%
layer7,%
layer6,%
layer5,%
layer4,%
layer3,%
layer2,%
layer1,%
layer0,%
main} % Must include main.
\DeclareRobustCommand{\@setScaling}[5][]{%
\pgfmathsetmacro{\saa}{#2}
\pgfmathsetmacro{\sab}{#3}
\pgfmathsetmacro{\sba}{#4}
\pgfmathsetmacro{\sbb}{#5}
}
\DeclareRobustCommand{\@setBaryPointsA}[5][]{%
% Scale the probabilities.
\pgfmathsetmacro{\aspaa}{#2 / \saa}
\pgfmathsetmacro{\aspab}{#3 / \sab}
\pgfmathsetmacro{\aspba}{#4 / \sba}
\pgfmathsetmacro{\aspbb}{#5 / \sbb}
% Normalize the probabilities.
\pgfmathsetmacro{\apaa}{\aspaa / (\aspaa + \aspab + \aspba + \aspbb)}
\pgfmathsetmacro{\apab}{\aspab / (\aspaa + \aspab + \aspba + \aspbb)}
\pgfmathsetmacro{\apba}{\aspba / (\aspaa + \aspab + \aspba + \aspbb)}
\pgfmathsetmacro{\apbb}{\aspbb / (\aspaa + \aspab + \aspba + \aspbb)}
% Find Cartesian.
\pgfmathsetlengthmacro{\xa}{{barytocartx(\apaa,\apab,\apba,\apbb)}}
\pgfmathsetlengthmacro{\ya}{{barytocarty(\apaa,\apab,\apba,\apbb)}}
\pgfmathsetlengthmacro{\za}{{barytocartz(\apaa,\apab,\apba,\apbb)}}
}
\DeclareRobustCommand{\@setBaryPointsB}[5][]{%
% Scale the probabilities.
\pgfmathsetmacro{\bspaa}{#2 / \saa}
\pgfmathsetmacro{\bspab}{#3 / \sab}
\pgfmathsetmacro{\bspba}{#4 / \sba}
\pgfmathsetmacro{\bspbb}{#5 / \sbb}
% Normalize the probabilities.
\pgfmathsetmacro{\bpaa}{\bspaa / (\bspaa + \bspab + \bspba + \bspbb)}
\pgfmathsetmacro{\bpab}{\bspab / (\bspaa + \bspab + \bspba + \bspbb)}
\pgfmathsetmacro{\bpba}{\bspba / (\bspaa + \bspab + \bspba + \bspbb)}
\pgfmathsetmacro{\bpbb}{\bspbb / (\bspaa + \bspab + \bspba + \bspbb)}
% Find Cartesian.
\pgfmathsetlengthmacro{\xb}{{barytocartx(\bpaa,\bpab,\bpba,\bpbb)}}
\pgfmathsetlengthmacro{\yb}{{barytocarty(\bpaa,\bpab,\bpba,\bpbb)}}
\pgfmathsetlengthmacro{\zb}{{barytocartz(\bpaa,\bpab,\bpba,\bpbb)}}
}
\newcommand{\@setdefaultpointkey}{%
\tikzset{
point/.is family,
point,
color/.initial=black,
label/.initial=,
label position/.initial=right,
size/.initial=2pt,
}%
}
\@setdefaultpointkey
\newcommand{\@pointkey}[1]{\pgfkeysvalueof{/tikz/point/#1}}
\DeclareRobustCommand{\point}[5][1]{%
% Process keys.
\@setdefaultpointkey
\tikzset{point,#1}
% Find Cartesian.
\pgfmathsetlengthmacro{\x}{{barytocartx(#2,#3,#4,#5)}}
\pgfmathsetlengthmacro{\y}{{barytocarty(#2,#3,#4,#5)}}
\pgfmathsetlengthmacro{\z}{{barytocartz(#2,#3,#4,#5)}}
% Draw node.
\node[circle,fill=\@pointkey{color},inner sep=0pt,minimum size=\@pointkey{size},label=\@pointkey{label position}:{\@pointkey{label}}] at (\x,\y,\z) {};
}
\DeclareRobustCommand{\@scaledPointA}[1][]{%
\@setdefaultpointkey%
\tikzset{point,#1}%
\node[circle,fill=\@pointkey{color},inner sep=0pt,minimum size=\@pointkey{size},label=right:{\@pointkey{label}}] at (\xa,\ya,\za) {};
}
\newif\ifdebuglayers
\newif\ifdebugcameradistance
\newif\ifdebugshading
\newcommand{\@setdefaultlinekey}{%
\tikzset{
line/.is family,
line,
color/.initial=black,
segments/.initial=6,
line style/.initial=solid,
layer scale/.initial=1,
line width scale/.initial=1,
debug layers/.is if=debuglayers,%
debug camera distance/.is if=debugcameradistance,%
debug shading/.is if=debugshading,%
}%
}
\@setdefaultlinekey
\newcommand{\@linekey}[1]{\pgfkeysvalueof{/tikz/line/#1}}
\DeclareRobustCommand{\@perspectiveline}[7][]{%
\@setdefaultlinekey
\tikzset{line,#1}
\foreach \i [evaluate=\i] in {1,...,\@linekey{segments}} {
\pgfmathsetlengthmacro{\f}{{(\i - 1)/\@linekey{segments}}}
\pgfmathsetlengthmacro{\s}{{(\i)/\@linekey{segments}}}
\pgfmathsetlengthmacro{\xb}{{#2*\f+(1-\f)*#5}}
\pgfmathsetlengthmacro{\yb}{{#3*\f+(1-\f)*#6}}
\pgfmathsetlengthmacro{\zb}{{#4*\f+(1-\f)*#7}}
\pgfmathsetlengthmacro{\xe}{{#2*\s+(1-\s)*#5}}
\pgfmathsetlengthmacro{\ye}{{#3*\s+(1-\s)*#6}}
\pgfmathsetlengthmacro{\ze}{{#4*\s+(1-\s)*#7}}
\pgfmathsetlengthmacro{\xm}{(\xb + \xe)/2}
\pgfmathsetlengthmacro{\ym}{(\yb + \ye)/2}
\pgfmathsetlengthmacro{\zm}{(\zb + \ze)/2}
\pgfmathsetlengthmacro{\sxm}{\xm * \@linekey{layer scale}}
\pgfmathsetlengthmacro{\sym}{\ym * \@linekey{layer scale}}
\pgfmathsetlengthmacro{\szm}{\zm * \@linekey{layer scale}}
% Scaled camera distance for scaled layers.
\@setcameradistance{\sxm}{\sym}{\szm}{\@polytopekey{rotate x}}{\@polytopekey{rotate z}}{0.8}
% Magic constant here to scale to integer layers.
\pgfmathparse{{int(round(50 * \cd - 20))}}
\edef\layer{\pgfmathresult}
\edef\layername{layer\layer}
% Real camera distance.
\@setcameradistance{\xm}{\ym}{\zm}{\@polytopekey{rotate x}}{\@polytopekey{rotate z}}{0.8}
\pgfmathsetlengthmacro{\lw}{{\@linekey{line width scale}/\cd}}
% Shading magic constants.
\pgfmathparse{{int(round(120 - 50 * \cd))}}
\edef\shading{\pgfmathresult}
% Debug layers.
\ifdebuglayers
\filldraw[\@pointkey{color}] (\xm,\ym,\zm) circle (0.0pt) node[anchor=east]{\layer};
\else \fi
\ifdebugcameradistance
\filldraw[\@pointkey{color}] (\xm,\ym,\zm) circle (0.0pt) node[anchor=west]{\cd};
\else \fi
\ifdebugshading
\filldraw[\@pointkey{color}] (\xm,\ym,\zm) circle (0.0pt) node[anchor=west]{\shading};
\else \fi
\begin{pgfonlayer}{\layername}
\draw [{\@linekey{color}!\shading},line width=\lw,\@linekey{line style}] (\xb,\yb,\zb) -- (\xe,\ye,\ze);
\end{pgfonlayer}
}
}
\DeclareRobustCommand{\@scaledBaryPerspectiveLineAB}[1][]{%
\@perspectiveline[#1]{\xa}{\ya}{\za}{\xb}{\yb}{\zb}
}
\DeclareRobustCommand{\@baryperspectiveline}[9][]{%
\pgfmathsetlengthmacro{\xa}{{barytocartx(#2,#3,#4,#5)}}
\pgfmathsetlengthmacro{\ya}{{barytocarty(#2,#3,#4,#5)}}
\pgfmathsetlengthmacro{\za}{{barytocartz(#2,#3,#4,#5)}}
\pgfmathsetlengthmacro{\xb}{{barytocartx(#6,#7,#8,#9)}}
\pgfmathsetlengthmacro{\yb}{{barytocarty(#6,#7,#8,#9)}}
\pgfmathsetlengthmacro{\zb}{{barytocartz(#6,#7,#8,#9)}}
\@perspectiveline[#1]{\xa}{\ya}{\za}{\xb}{\yb}{\zb}
}
\DeclareRobustCommand{\@cameraline}[0]{%
\pgfmathsetlengthmacro{\xc}{{sin(\@polytopekey{rotate x}) * sin(\@polytopekey{rotate z})}}
\pgfmathsetlengthmacro{\yc}{{-sin(\@polytopekey{rotate x}) * cos(\@polytopekey{rotate z})}}
\pgfmathsetlengthmacro{\zc}{{cos(\@polytopekey{rotate x})}}
\draw [green] (0,0,0)--(\xc,\yc,\zc);
}
\DeclareRobustCommand{\@setcameradistance}[6]{%
\pgfmathsetlengthmacro{\xc}{{sin(#4) * sin(#5)}}
\pgfmathsetlengthmacro{\yc}{{-sin(#4) * cos(#5)}}
\pgfmathsetlengthmacro{\zc}{{cos(#4)}}
\pgfmathsetlengthmacro{\cd}{{#6 - (\xc * #1) - (\yc * #2) - (\zc * #3)}}
}
\makeatother