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Started v1.3
- New functionality to generate causets from integer permutations that may now also include negative numbers - New key `offset` to shift all integers given in the arguments - New key `text font` to set a font face size and font family for text labels - New functionality to replace label text and add event text in the permutation argument - Changed functionality, `\*causetL` deactivates the permutation, and `\*causetP` deactives the event labels
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‎README.md‎

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LaTeX Package: causets
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======================
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This is a LaTeX package to create (Hasse) diagrams of causal sets - short causets (locally finite, partially ordered sets) to be used inline with text or mathematical expressions, as well as with TikZ pictures.
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# The `causets` package
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The LaTeX package `causets` lets you create (Hasse) diagrams of causal sets. Causal sets (causets) are locally finite, partially ordered sets and are consider as a framework for quantum gravity. This package is built on the package `tikz`, which is usually included in the standard LaTeX installations and loaded automatically with `\usepackage{causets}`.
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The diagrams can be used inline with text or mathematical expressions, or they may be included in a TikZ pictures.
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The three main commands (macros) are
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```tex
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% causet generated from a permutation:
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For a full documentation, please see causets.pdf.
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Additional Packages
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===================
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This package is built on the package `tikz`, which is usually included in the standard LaTeX installations.
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Bug Reports
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===========
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## Bug reports
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Problems with the package are reported here:
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https://github.com/c-minz/LaTeX-causets/issues
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C. Minz
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christoph{dot}minz[AT]gmail{dot}com
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Information on Distribution
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===========================
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## License and distribution
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Copyright 2020-2022 by C. Minz
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This work may be distributed and/or modified under the conditions of the LaTeX Project Public License, either version 1.3 of this license or (at your option) any later version.
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The latest version of this license is in
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This work may be distributed and/or modified under the conditions of the LaTeX Project Public License, either version 1.3 of this licence or (at your option) any later version.
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The latest version of this licence is in
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http://www.latex-project.org/lppl.txt
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This work has the LPPL maintenance status "maintained".
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The current maintainer of this work is C. Minz.
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https://github.com/c-minz
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Current version: 1.2
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**Current version: v1.3**
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CTAN location: /graphics/pgf/contrib/causets/
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‎causet_tikz_example1.pdf‎

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‎causet_tikz_example1.tex‎

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\usetikzlibrary{fit,shapes.geometric}
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\begin{document}
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\begin{tikzpicture}
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% Create causet, shifted in x- and y-direction:
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\begin{scope}[xshift=3cm, yshift=-1cm]
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\tikzcausetsset{offset=-2}
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\drawpcauset{5,2,7,3,6,1,4}
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\draw[red, double] (0, 0) circle[radius=0.1];
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\end{scope}
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\node[draw=blue, inner sep=1pt, thick, ellipse, fit=(E4) (E6) (E7)] (Finf) {};
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\node[draw=blue] (FinfLabel) at (6.5, -0.5) {future infinity};
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\node[draw=red] (centerLabel) at (0.5, -0.5) {center};
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\node[draw=green!50!black] (myEventLabel) at (5.5, -2.5) {event (E2)};
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% Circumscribe the future infinity:
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\node[draw=blue, inner sep=1pt, thick, ellipse, fit=(E2) (E4) (E5)] (Finf) {};
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% Add labels on top:
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\node[draw=blue, right, align=right] (FinfLabel) at (4.8, -0.5) {future infinity / \\ maximal events};
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\node[draw=red] (centerLabel) at (0.5, -0.5) {centre};
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\node[draw=green!50!black] (myEventLabel) at (5.5, -2.5) {event (E0)};
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% Draw arrows from the labels to the references:
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\draw[ultra thick, blue, ->] (FinfLabel) -- (Finf);
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\draw[ultra thick, red, ->] (centerLabel) -- (3, -1);
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\draw[ultra thick, green!50!black, ->] (myEventLabel) -- (E2);
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\draw[ultra thick, green!50!black, ->] (myEventLabel) -- (E0);
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\end{tikzpicture}
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\end{document}

‎causet_tikz_example2.pdf‎

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‎causet_tikz_example2.tex‎

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\documentclass[tikz]{standalone}
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\usepackage[blue]{causets}
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\usetikzlibrary{fit,shapes.geometric}
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% Set colours and style:
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\colorlet{future colour}{green!50!black}
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\colorlet{past colour}{yellow!50!orange!80!black}
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\colorlet{anywhere colour}{red!80!black}
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\tikzset{prob arrow/.style={line width=1.5pt}}
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% Define some helper functions:
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\newcommand*{\semiopaque}[1]{% Adds a transparency group.
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\begin{scope}[transparency group, opacity=0.5]
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#1
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\end{scope}
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}
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\newcommand*{\drawprobarrow}[4][]{% Draws a (probability) arrow.
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\draw[prob arrow] (#2) -- node[sloped, midway, below, #1] {$#3$} (#4);
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}
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\newcommand{\drawlegendsymbol}{% Draws the symbol for a legend entry.
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\draw[prob arrow] (0,0) -- +(10pt, 6pt);
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}
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\newcommand{\legendsymbol}[1]{% Creates the legend symbol.
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\begin{tikzpicture}
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\ifnum#1=0
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\drawlegendsymbol
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\else
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\semiopaque{\drawlegendsymbol}
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\fi
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\end{tikzpicture}
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}
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\begin{document}
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\begin{tikzpicture}[-stealth, line width=2pt]
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\matrix[nodes={draw, fill=yellow!10, thin, circle, inner sep=0.6ex, minimum size=5ex}, row sep=1.5cm, column sep=0.1cm]
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{
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\node (C1234) {\pcauset{1,2,3,4}};
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& \node (C1243) {\pcauset{1,2,4,3}};
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& \node[fill=yellow!20] (C1423) {\pcauset{1,4,2,3}};
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& \node (C1324) {\pcauset{1,3,2,4}};
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& \node (C1432) {\pcauset{1,4,3,2}};
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& \node[fill=yellow!30] (C4123) {\pcauset{4,1,2,3}};
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& \node[fill=yellow!30] (C4132) {\pcauset{4,1,3,2}};
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& \node[fill=yellow!20] (C3124) {\pcauset{3,1,2,4}};
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& & \node[fill=yellow!20] (C3412) {\pcauset{3,4,1,2}};
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& \node[fill=yellow!30] (C3142) {\pcauset{3,1,4,2}};
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& \node[fill=yellow!30] (C4312) {\pcauset{4,3,1,2}};
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& \node (C2134) {\pcauset{2,1,3,4}};
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& \node (C2143) {\pcauset{2,1,4,3}};
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& \node[fill=yellow!20] (C4213) {\pcauset{4,2,1,3}};
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& \node (C3214) {\pcauset{3,2,1,4}};
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& \node (C4321) {\pcauset{4,3,2,1}};
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\\
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\\
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& & \node (C123) {\pcauset{1,2,3}};
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& & & \node (C132) {\pcauset{1,3,2}};
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& & & \node[fill=yellow!20] (C312) {\pcauset{3,1,2}};
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& & & \node (C213) {\pcauset{2,1,3}};
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& & & \node (C321) {\pcauset{3,2,1}};
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\\
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& & & & & \node (C12) {\pcauset{1,2}};
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& & & & & & \node (C21) {\pcauset{2,1}};
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\\
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& & & & & & & & \node (C1) {\pcauset{1}};
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\\
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};
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\draw (C1) -- node[below left] {$p_{12}$} (C12);
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\draw (C12) -- node[below left] {$p_{123}$} (C123);
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\draw (C123) -- node[sloped, midway, below] {$p_{1234}$} (C1234);
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\draw (C123) -- node[sloped, near end, below] {$p_{1243}$} (C1243);
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\draw (C123) -- node[sloped, midway, below] {$p_{1423}$} (C1423);
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\draw (C123) -- node[sloped, near start, below] {$p_{4123}$} (C4123);
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\draw (C12) -- node[left] {$p_{132}$} (C132);
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\draw (C132) -- node[sloped, near start, below] {$p_{1342}$} (C1423);
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\draw (C132) -- node[sloped, near end, below] {$p_{1324}$} (C1324);
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\draw (C132) -- node[sloped, midway, above] {$p_{1432}$} (C1432);
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\draw (C132) -- node[sloped, near start, below] {$p_{4132}$} (C4132);
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\draw (C12) -- node[below right] {$p_{312}$} (C312);
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\draw (C312) -- node[sloped, near end, above] {$p_{3124}$} (C3124);
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\draw (C312) -- node[sloped, near end, above] {$p_{3412}$} (C3412);
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\draw (C312) -- node[sloped, near end, above] {$p_{3142}$} (C3142);
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\draw (C312) -- node[sloped, near start, below] {$p_{4312}$} (C4312);
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\draw (C1) -- node[below right] {$p_{21}$} (C21);
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\draw (C21) -- node[below left] {$p_{231}$} (C312);
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\draw (C312) -- node[sloped, near start, below] {$p_{2341}$} (C4123);
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\draw (C312) -- node[sloped, near end, above] {$p_{2431}$} (C4132);
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\draw (C21) -- node[right] {$p_{213}$} (C213);
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\draw (C213) -- node[sloped, midway, above] {$p_{2134}$} (C2134);
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\draw (C213) -- node[sloped, near start, below] {$p_{2413}$} (C3142);
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\draw (C213) -- node[sloped, near end, below] {$p_{2143}$} (C2143);
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\draw (C213) -- node[sloped, near start, below] {$p_{4213}$} (C4213);
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\draw (C21) -- node[below right] {$p_{321}$} (C321);
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\draw (C321) -- node[sloped, near start, below] {$p_{3421}$} (C4312);
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\draw (C321) -- node[sloped, midway, above] {$p_{3241}$} (C4213);
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\draw (C321) -- node[sloped, near end, above] {$p_{3214}$} (C3214);
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\draw (C321) -- node[sloped, midway, below] {$p_{4321}$} (C4321);
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\begin{tikzpicture}[-stealth]
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\def\ystep{2.0cm}
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\def\xstep{0.52cm}
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% Create nodes of all causets with 1 to 4 events:
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\begin{scope}[nodes={draw, thin, circle, minimum size=1.02cm}]
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\node (C1) at ( 0, 0) {\pcauset{1}};
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\node (C12) at (-4*\xstep, 1*\ystep) {\pcauset{1,2}};
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\node (C21) at ( 4*\xstep, 1*\ystep) {\pcauset{2,1}};
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\foreach \CPoint/\CXPos/\CPerm in {C123/-8/{{1,2,3}}, C132/-4/{{1,3,2}}, C312/0/{{3,1,2}}, C213/4/{{2,1,3}}, C321/8/{{3,2,1}}}
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\node (\CPoint) at (\CXPos*\xstep, 2*\ystep) {\expandafter\pcauset\CPerm};
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\foreach \CPoint/\CXPos/\CPerm in {C1234/-15/{{1,2,3,4}}, C1243/-13/{{1,2,4,3}}, C1423/-11/{{1,4,2,3}}, C1324/-9/{{1,3,2,4}}, C1432/-7/{{1,4,3,2}}, C4123/-5/{{4,1,2,3}}, C4132/-3/{{4,1,3,2}}, C3124/-1/{{3,1,2,4}}, C3412/1/{{3,4,1,2}}, C3142/3/{{3,1,4,2}}, C4312/5/{{4,3,1,2}}, C2134/7/{{2,1,3,4}}, C2143/9/{{2,1,4,3}}, C4213/11/{{4,2,1,3}}, C3214/13/{{3,2,1,4}}, C4321/15/{{4,3,2,1}}}
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\node (\CPoint) at (\CXPos*\xstep, 3.75*\ystep) {\expandafter\pcauset\CPerm};
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\end{scope}
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% Add graph edges for expandings ...
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% ... to the past (additionally):
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\begin{scope}[past colour]
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\foreach \StartPoint/\EndPoint in {C12/C213, C123/C3124, C123/C2134, C132/C1243, C132/C3142, C132/C2143, C312/C1423, C312/C4213, C213/C1324, C213/C3124, C213/C3214, C321/C1432, C321/C4132, C21/C132}
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\semiopaque{\drawprobarrow{\StartPoint}{}{\EndPoint}};
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\end{scope}
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% ... to anywhere (additionally, further):
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\begin{scope}[anywhere colour]
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\semiopaque{\drawprobarrow{C123}{}{C1324}};
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\end{scope}
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% ... to the future:
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\begin{scope}[prob arrow, future colour]
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\drawprobarrow{C1}{p_{12}}{C12}
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\drawprobarrow{C12}{p_{123}}{C123}
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\drawprobarrow{C123}{p_{1234}}{C1234}
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\drawprobarrow[near end]{C123}{p_{1243}}{C1243}
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\drawprobarrow[near end]{C123}{p_{1423}}{C1423}
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\drawprobarrow[near start, above]{C123}{p_{4123}}{C4123}
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\drawprobarrow[above]{C12}{p_{132}}{C132}
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\drawprobarrow[near end]{C132}{p_{1342}}{C1423}
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\drawprobarrow[near end]{C132}{p_{1324}}{C1324}
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\drawprobarrow[midway, above]{C132}{p_{1432}}{C1432}
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\drawprobarrow[near start]{C132}{p_{4132}}{C4132}
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\drawprobarrow[near start, above]{C12}{p_{312}}{C312}
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\drawprobarrow[near end]{C312}{p_{3124}}{C3124}
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\drawprobarrow[near end]{C312}{p_{3412}}{C3412}
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\drawprobarrow[near end]{C312}{p_{3142}}{C3142}
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\drawprobarrow[near start]{C312}{p_{4312}}{C4312}
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\drawprobarrow{C1}{p_{21}}{C21}
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\drawprobarrow[near start, above]{C21}{p_{231}}{C312}
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\drawprobarrow[near start]{C312}{p_{2341}}{C4123}
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\drawprobarrow[near end]{C312}{p_{2431}}{C4132}
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\drawprobarrow{C21}{p_{213}}{C213}
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\drawprobarrow[above]{C213}{p_{2134}}{C2134}
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\drawprobarrow[near start]{C213}{p_{2413}}{C3142}
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\drawprobarrow[near end]{C213}{p_{2143}}{C2143}
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\drawprobarrow[near end]{C213}{p_{4213}}{C4213}
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\drawprobarrow{C21}{p_{321}}{C321}
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\drawprobarrow[near start, above]{C321}{p_{3421}}{C4312}
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\drawprobarrow[near end]{C321}{p_{3241}}{C4213}
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\drawprobarrow[near end]{C321}{p_{3214}}{C3214}
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\drawprobarrow{C321}{p_{4321}}{C4321}
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\end{scope}
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% Add legend:
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\node[above left, align=left, draw, inner sep=3ex, fill=gray!05]
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at (15*\xstep, 0)
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{Expanding into\\
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\bfseries\color{future colour}\legendsymbol{0}\ the future\\
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\bfseries\color{past colour}\legendsymbol{1}\ + the past\\
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\bfseries\color{anywhere colour}\legendsymbol{1}\ + anywhere};
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\end{tikzpicture}
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\end{document}

‎causets.pdf‎

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