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Diffstat (limited to 'graphics/pgf/contrib')
| -rw-r--r-- | graphics/pgf/contrib/twoxtwogame/LICENSE | 202 | ||||
| -rw-r--r-- | graphics/pgf/contrib/twoxtwogame/README.md | 52 | ||||
| -rw-r--r-- | graphics/pgf/contrib/twoxtwogame/twoxtwogame.pdf | bin | 0 -> 465201 bytes | |||
| -rw-r--r-- | graphics/pgf/contrib/twoxtwogame/twoxtwogame.sty | 3118 |
4 files changed, 3372 insertions, 0 deletions
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We also recommend that a + file or class name and description of purpose be included on the + same "printed page" as the copyright notice for easier + identification within third-party archives. + + Copyright [yyyy] [name of copyright owner] + + 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. diff --git a/graphics/pgf/contrib/twoxtwogame/README.md b/graphics/pgf/contrib/twoxtwogame/README.md new file mode 100644 index 0000000000..3856e3f087 --- /dev/null +++ b/graphics/pgf/contrib/twoxtwogame/README.md @@ -0,0 +1,52 @@ +# twoxtwogame + +A LaTeX package for visualizing 2x2 normal-form games. The package builds upon +PGF/TikZ to produce beautiful vector graphic visualizations indented for use in +scientific publications. Commands include producing graphical representations +of 2x2 games, plotting the equilibria in 2x2 games, and game embeddings for 2x2 +games. + +## Installation + +Simply include the `twoxtwogame.sty` file in your working directory. + +## Usage + +Include in the preamble the `twoxtwogame` package. + +```tex +\usepackage{twoxtwogame} +``` + +In the main document, utilize the commands that the package provides. + +```tex +\cyclebrgraph~Matching Pennies has a single mixed Nash equilibrium, while +\coordinationbrgraph~two pure Nash equilibria and a single mixed Nash +equilibrium. +``` + +For further information, please refer to the included package documentation: +`twoxtwogame_doc.pdf` which can be built from `twoxtwogame_doc.tex`. + +## License and disclaimer + +Copyright 2024 DeepMind Technologies Limited + +All software is licensed under the Apache License, Version 2.0 (Apache 2.0); +you may not use this file except in compliance with the Apache 2.0 license. +You may obtain a copy of the Apache 2.0 license at: +https://www.apache.org/licenses/LICENSE-2.0 + +All other materials are licensed under the Creative Commons Attribution 4.0 +International License (CC-BY). You may obtain a copy of the CC-BY license at: +https://creativecommons.org/licenses/by/4.0/legalcode + +Unless required by applicable law or agreed to in writing, all software and +materials distributed here under the Apache 2.0 or CC-BY licenses are +distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, +either express or implied. See the licenses for the specific language governing +permissions and limitations under those licenses. + +This is not an official Google product. + diff --git a/graphics/pgf/contrib/twoxtwogame/twoxtwogame.pdf b/graphics/pgf/contrib/twoxtwogame/twoxtwogame.pdf Binary files differnew file mode 100644 index 0000000000..bc3b5bcd45 --- /dev/null +++ b/graphics/pgf/contrib/twoxtwogame/twoxtwogame.pdf diff --git a/graphics/pgf/contrib/twoxtwogame/twoxtwogame.sty b/graphics/pgf/contrib/twoxtwogame/twoxtwogame.sty new file mode 100644 index 0000000000..a42e6606fc --- /dev/null +++ b/graphics/pgf/contrib/twoxtwogame/twoxtwogame.sty @@ -0,0 +1,3118 @@ +% 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}[2024/02/23 v0.1 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,shapes,calc,positioning,external} +\RequirePackage{amsthm, amsmath, amsfonts, amssymb, mathtools} +\RequirePackage{etoolbox} +\RequirePackage{bubblesort} + +\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} \OR \lengthtest{#2 pt = #4 pt} \OR \lengthtest{#2 pt = #5 pt} \OR \lengthtest{#3 pt = #4 pt} \OR \lengthtest{#3 pt = #5 pt} \OR \lengthtest{#4 pt = #5 pt}}{ + % DO NOTHING. + }{ + \doublebubblesort{{#2}{#3}{#4}{#5}}{\order}{{-- \@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}}}}{\nodes} + \draw[-{Latex[length=\@graphkey{arrow length},width=\@graphkey{arrow width}]}, line width=\@graphkey{line width}, \@graphkey{player color}] \nodes; + } + + % 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{#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}% +}} + + +% Switch to tikzset +\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}[2]{% + \pgfmathsetmacro{\@targetWidth}{#2}% + \pgfmathsetmacro{\@setWidth}{#2}% + \begin{lrbox}{\@candidateBox}{\tikzset{external/export=false}#1}\end{lrbox}% + \pgfmathsetmacro{\@setWidth}{2*\@targetWidth-\wd\@candidateBox}% + #1% +} +\newcommand{\@reScaleToTargetWidth}[2]{% + \pgfmathsetmacro{\@targetWidth}{#2}% + \pgfmathsetmacro{\@setWidth}{#2}% + \pgfmathsetmacro{\@setScale}{4}% + \begin{lrbox}{\@candidateBox}{\tikzset{external/export=false}#1}\end{lrbox}% + \pgfmathsetmacro{\@setScale}{\@setScale*\@targetWidth/\wd\@candidateBox}% + #1% +} + +\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=, + }% +} +\@setdefaultmarginalsimplexkey +\newcommand{\marginalsimplexkey}[1]{\pgfkeysvalueof{/tikz/marginalsimplex/#1}} + +\DeclareRobustCommand{\marginalsimplex}[1][]{% + \tikzset{marginalsimplex,#1} % Process Keys passed to command + \@reWidthToTargetWidth{\marginalsimplexIMPL[#1]}{\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} + \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}}; + } + \end{axis}% + \end{tikzpicture}% +} + + +\newif\ifdebugname +\newif\ifdebugaxes +\newif\ifdebugcamera +\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,% + }% +} +\@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}}{\@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 + + \eqpolytope[]{#2}{#3}{#4}{#5}{#6}{#7}{#8}{#9} + \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 |