texlive[66359] Master/texmf-dist: causets (5mar23)
commits+karl at tug.org
commits+karl at tug.org
Sun Mar 5 21:39:16 CET 2023
Revision: 66359
http://tug.org/svn/texlive?view=revision&revision=66359
Author: karl
Date: 2023-03-05 21:39:16 +0100 (Sun, 05 Mar 2023)
Log Message:
-----------
causets (5mar23)
Modified Paths:
--------------
trunk/Master/texmf-dist/doc/latex/causets/README.md
trunk/Master/texmf-dist/doc/latex/causets/causet_tikz_example1.pdf
trunk/Master/texmf-dist/doc/latex/causets/causet_tikz_example1.tex
trunk/Master/texmf-dist/doc/latex/causets/causets.pdf
trunk/Master/texmf-dist/doc/latex/causets/causets.tex
trunk/Master/texmf-dist/tex/latex/causets/causets.sty
Modified: trunk/Master/texmf-dist/doc/latex/causets/README.md
===================================================================
--- trunk/Master/texmf-dist/doc/latex/causets/README.md 2023-03-05 20:39:03 UTC (rev 66358)
+++ trunk/Master/texmf-dist/doc/latex/causets/README.md 2023-03-05 20:39:16 UTC (rev 66359)
@@ -33,7 +33,7 @@
christoph{dot}minz[AT]gmail{dot}com
## License and distribution
-Copyright 2020-2022 by C. Minz
+Copyright 2020-2023 by C. Minz
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.
The latest version of this licence is in
@@ -44,7 +44,7 @@
The current maintainer of this work is C. Minz.
https://github.com/c-minz
-**Current version: v1.3**
+**Current package version: v1.4 (2023/03/06)**
CTAN location: /graphics/pgf/contrib/causets/
Modified: trunk/Master/texmf-dist/doc/latex/causets/causet_tikz_example1.pdf
===================================================================
(Binary files differ)
Modified: trunk/Master/texmf-dist/doc/latex/causets/causet_tikz_example1.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/causets/causet_tikz_example1.tex 2023-03-05 20:39:03 UTC (rev 66358)
+++ trunk/Master/texmf-dist/doc/latex/causets/causet_tikz_example1.tex 2023-03-05 20:39:16 UTC (rev 66359)
@@ -9,15 +9,15 @@
\drawpcauset{5,2,7,3,6,1,4}
\draw[red, double] (0, 0) circle[radius=0.1];
\end{scope}
- % Circumscribe the future infinity:
+ % Mark the maximal elements (future infinity):
\node[draw=blue, inner sep=1pt, thick, ellipse, fit=(E2) (E4) (E5)] (Finf) {};
% Add labels on top:
- \node[draw=blue, right, align=right] (FinfLabel) at (4.8, -0.5) {future infinity / \\ maximal events};
+ \node[draw=blue, right, align=right] (FinfLabel) at (4.8, -0.5) {maximal events / \\ (future infinity)};
\node[draw=red] (centerLabel) at (0.5, -0.5) {centre};
\node[draw=green!50!black] (myEventLabel) at (5.5, -2.5) {event (E0)};
% Draw arrows from the labels to the references:
\draw[ultra thick, blue, ->] (FinfLabel) -- (Finf);
- \draw[ultra thick, red, ->] (centerLabel) -- (3, -1);
+ \draw[ultra thick, red, ->] (centerLabel) -- (3, -1); % centre was shifted by the scope
\draw[ultra thick, green!50!black, ->] (myEventLabel) -- (E0);
\end{tikzpicture}
\end{document}
Modified: trunk/Master/texmf-dist/doc/latex/causets/causets.pdf
===================================================================
(Binary files differ)
Modified: trunk/Master/texmf-dist/doc/latex/causets/causets.tex
===================================================================
--- trunk/Master/texmf-dist/doc/latex/causets/causets.tex 2023-03-05 20:39:03 UTC (rev 66358)
+++ trunk/Master/texmf-dist/doc/latex/causets/causets.tex 2023-03-05 20:39:16 UTC (rev 66359)
@@ -12,6 +12,9 @@
\renewcommand{\thesubsection}{}
\titlespacing*{\subsection}{0pt}{15pt}{5pt}
\titleformat{\subsection}{\small\bfseries\sffamily}{\thetitle}{0pt}{}{}
+\renewcommand{\thesubsubsection}{}
+\titlespacing*{\subsubsection}{0pt}{5pt}{0pt}
+\titleformat{\subsubsection}{\small\sffamily\itshape}{\thetitle}{0pt}{}{}
\usepackage{fancyhdr} % advanced header and footer
\pagestyle{fancy}
\fancypagestyle{plain}{\fancyhf{}\renewcommand{\headrulewidth}{0.0pt}}
@@ -72,7 +75,7 @@
}
\usepackage{amsmath}
-\usepackage{causets}
+\usepackage[external]{causets}
\newcommand*{\PH}[1][value]{{\small\itshape$\langle$#1$\rangle$}} % placeholder
@@ -81,11 +84,11 @@
\tikzmark{#2}%
\tikz[remember picture, overlay]%
\path (pic cs:#2) -- ++(-1cm, 0.5em) -- ++(#1, 0) node {#3};%
-}% version causet
+}% \versioncauset
-\title{{\small package}\\[0.5cm] \huge causets \\[0.2cm]{\small version 1.3\\[0.5cm]}}
+\title{{\small package}\\[0.5cm] \huge causets \\[0.2cm]{\small version 1.4\\[0.5cm]}}
\author{Christoph Minz}
-\date{May 23, 2022}
+\date{6 March 2023}
\begin{document}
@@ -92,14 +95,15 @@
{\sffamily\maketitle}
\begin{center}
+\large
$\displaystyle
\tikzcausetsset{large}
\left\{
- \pcauset{3,2,1},
- \pcauset{3,1,2},
- \pcauset{2,1,3},
- \pcauset{1,3,2},
- \pcauset{1,2,3}
+ \pcauset[name=3Antichain_large]{3,2,1},
+ \pcauset[name=2ChainUnion1Chain_large]{3,1,2},
+ \pcauset[name=Wedge_large]{2,1,3},
+ \pcauset[name=Vee_large]{1,3,2},
+ \pcauset[name=3Chain_large]{1,2,3}
\right\}
$
\\
@@ -107,11 +111,11 @@
\tikzcausetsset{large}
\causetsDrawLabelstrue
\left\{
- \pcauset{3,2,1},
- \pcauset{3,1,2},
- \pcauset{2,1,3},
- \pcauset{1,3,2},
- \pcauset{1,2,3}
+ \pcauset[name=3Antichain_largelabeled]{3,2,1},
+ \pcauset[name=2ChainUnion1Chain_largelabeled]{3,1,2},
+ \pcauset[name=Wedge_largelabeled]{2,1,3},
+ \pcauset[name=Vee_largelabeled]{1,3,2},
+ \pcauset[name=3Chain_largelabeled]{1,2,3}
\right\}
$
\\
@@ -119,22 +123,21 @@
\tikzcausetsset{large}
\causetsDrawPermutationtrue
\left\{
- \pcauset{3,2,1},
- \pcauset{3,1,2},
- \pcauset{2,1,3},
- \pcauset{1,3,2},
- \pcauset{1,2,3}
+ \pcauset[name=3Antichain_largeperm]{3,2,1},
+ \pcauset[name=2ChainUnion1Chain_largeperm]{3,1,2},
+ \pcauset[name=Wedge_largeperm]{2,1,3},
+ \pcauset[name=Vee_largeperm]{1,3,2},
+ \pcauset[name=3Chain_largeperm]{1,2,3}
\right\}
$
\end{center}
+\vfill
-\vspace{2em}
-
\section*{What is the purpose of this package?}
\label{sec:Purpose}
Causal set theory is a proposed framework for quantum gravity.
Causal sets (\textbf{causets} for short) are locally finite, partially ordered sets.
-Though one can describe them mathematically as a set with a partial order, it is usually much simpler to just draw (Hasse) diagrams.
+They are commonly represent with Hasse diagrams, where the partial order (standing for the direction of time) increases towards to the top of the page.
This package implements some simple functionality to produce such diagrams for causets by drawing them as TikZ graphics.
The drawing algorithm makes use of the fact that every finite causet that embeds in $\smash{1 + 1}$ dimensional Minkowski spacetime can be represented by a product of two total orders (2D-orders), where one order can be the total order of the integers labelling the causet elements, while the other is a permutation of the labels\footnote{See \url{https://arxiv.org/abs/0706.0375} and \url{https://arxiv.org/abs/2011.02965} for more details on 2D-orders and causal sets.}.
@@ -164,11 +167,11 @@
\end{lstlisting}
The first command takes a permutation of the integers from an interval $[ a, b ]$ (where $N = b - a + 1 \geq 0$ is the cardinality of the causet).
The permutation determines the event positions and causal structure such that events $i$ and $j$ are linked if $i < j$ and there is no $k > j$ between $i$ and $j$ in the permutation.
-The second command does the same, but ignores links between event pairs \lstinline\xA7i/j\xA7 as given in the second argument.
+The second command does the same, but removes (restyles) links between event pairs \lstinline\xA7i/j\xA7 as given in the second argument.
The third command only uses the permutation to position the events, the links have to be explicitly specified by event pairs \lstinline\xA7i/j\xA7 in the second argument.
Any causet that can be embedded in $1 + 1$ dimensional Minkowski spacetime can also be described by the product of two total orders (a 2D-order).
-Let the causets elements be labeled by an increasing null coordinate $u$.
+Let the causet elements be labeled by an increasing null coordinate $u$.
In the first diagram of \autoref{tab:MainCommandsExamples}, the $u$-coordinate axis points upwards on the right hand side.
The causal relation (partial order) implies a label permutation along the null coordinate $v$ (pointing upwards along the left axis).
This permutation is the input of the \lstinline\xA7\pcauset\xA7 command that computes the causal relation from the permutation.
@@ -184,18 +187,18 @@
\\\midrule
1
& \lstinline\xA7\pcauset{4,7,2,6,1,5,3}\xA7
- & \pcauset{4,7,2,6,1,5,3}
+ & \pcauset[name=pcausetExample_perm]{4,7,2,6,1,5,3}
\\\midrule
2
& \lstinline\xA7\rcauset{4,7,2,6,1,5,3}{2/5}\xA7
- & \rcauset{4,7,2,6,1,5,3}{2/5}
+ & \rcauset[name=rcausetExample_perm]{4,7,2,6,1,5,3}{2/5}
\\\midrule
3
& \lstinline\xA7\causet{4,7,2,6,1,5,3}{1/3,1/5,2/3,2/6,4/5,4/6,4/7}\xA7
- & \causet{4,7,2,6,1,5,3}{1/3,1/5,2/3,2/6,4/5,4/6,4/7}
+ & \causet[name=causetExample_perm]{4,7,2,6,1,5,3}{1/3,1/5,2/3,2/6,4/5,4/6,4/7}
\\\bottomrule
\end{tabular*}
- \caption{\label{tab:MainCommandsExamples} Examples for the three main commands of the package.}
+ \caption{\label{tab:MainCommandsExamples} Examples of the three main commands.}
\end{table}
Every causet that does not embed in $1 + 1$ dimensional Minkowski spacetime can be made embeddable by adding links, for which the \lstinline\xA7\rcauset\xA7 command is defined.
@@ -214,29 +217,25 @@
As an example for the use in a mathematical equation, here is the code for the first set of causets on the title page:
\begin{lstlisting}
\usepackage{causets}
-
...
-
\begin{document}
-
...
-
\begin{align}
S &=
\left\{
- \pcauset{3,2,1},\, \pcauset{3,1,2},\, \pcauset{2,1,3},\, \pcauset{1,3,2},\, \pcauset{1,2,3}
+ \pcauset{3,2,1}, \pcauset{3,1,2}, \pcauset{2,1,3}, \pcauset{1,3,2}, \pcauset{1,2,3}
\right\}.
\end{align}
\end{lstlisting}
-\vspace{-1.5em}
+%\vspace{-1ex}
\begin{align}
S &=
\left\{
- \pcauset{3,2,1},\,
- \pcauset{3,1,2},\,
- \pcauset{2,1,3},\,
- \pcauset{1,3,2},\,
- \pcauset{1,2,3}
+ \pcauset[name=3Antichain]{3,2,1},
+ \pcauset[name=2ChainUnion1Chain]{3,1,2},
+ \pcauset[name=Wedge]{2,1,3},
+ \pcauset[name=Vee]{1,3,2},
+ \pcauset[name=3Chain]{1,2,3}
\right\}
.
\end{align}
@@ -243,29 +242,25 @@
Of course, a given causet might have more than one representing permutation, so that any of those permutations may be used.
However, you may consider it a good practice to choose the permutation that starts with the larger integer, so that disjoint elements appear to the right in the graphs.
-For example, you may write \lstinline\xA7\pcauset{3,1,2}\xA7, \pcauset{3,1,2}, as opposed to \lstinline\xA7\pcauset{2,3,1}\xA7, \pcauset{2,3,1}.
+For example, you may write \lstinline\xA7\pcauset{3,1,2}\xA7, \pcauset[name=2ChainUnion1Chain]{3,1,2}, as opposed to \lstinline\xA7\pcauset{2,3,1}\xA7, \pcauset[name=1ChainUnion2Chain]{2,3,1}.
The arguments of the commands are lists that are iterated over by a \lstinline\xA7\foreach\xA7 loop of PGF/TikZ.
So you may use dots {...} to complete ranges of integers automatically.
-You may use this feature to draw chains like \pcauset{1,...,5} (with \lstinline\xA7\pcauset{1,...,5}\xA7) or antichains like \pcauset{5,...,1} (with \lstinline\xA7\pcauset{5,...,1}\xA7).
+You may use this feature to draw chains like \pcauset[name=5Chain]{1,...,5} (with \lstinline\xA7\pcauset{1,...,5}\xA7) or antichains like \pcauset[name=5Antichain]{5,...,1} (with \lstinline\xA7\pcauset{5,...,1}\xA7).
As a more complex example for the dots notation, consider
\begin{lstlisting}
-\pcauset{20,18,...,8,
- 1,7,6,...,2,
- 9,11,...,19}
+\pcauset{20,18,...,8, 1,7,6,...,2, 9,11,...,19}
\end{lstlisting}
which produces the same diagram as
\begin{lstlisting}
-\pcauset{20,18,16,14,12,10,8,
- 1,7,6,5,4,3,2,
- 9,11,13,15,17,19}
+\pcauset{20,18,16,14,12,10,8, 1,7,6,5,4,3,2, 9,11,13,15,17,19}
\end{lstlisting}
\begin{center}
- \pcauset[black colors, permutation]{20,18,16,...,8,1,7,6,...,2,9,11,...,19}
+ \pcauset[black colors, permutation, name=DotsExample_perm]{20,18,16,...,8,1,7,6,...,2,9,11,...,19}
\end{center}
In an optional argument, the main commands accepts any causets or TikZ keys to change the style of the causet.
-For example, the blue causet \pcauset[blue colors]{2,4,5,1,3} is obtained with
+For example, the blue causet \pcauset[blue colors, name=NDash_blue]{2,4,5,1,3} is obtained with
\begin{lstlisting}
\pcauset[blue colors]{2,4,5,1,3}
\end{lstlisting}
@@ -274,7 +269,7 @@
\label{sec:PackageOptions}
Each of the package options can either be specified in square brackets when declaring the package (option applies globally) or be changed with a macro at any point in the document (option applies to the local scope).
-If no options are used, an output like \rcauset{4,2,7,6,1,5,3}{2/5} is obtained with the commands
+If no options are used, an output like \rcauset[name=Options_rcauset]{4,2,7,6,1,5,3}{2/5} is obtained with the code
\begin{lstlisting}
\usepackage{causets}
... \begin{document} ...
@@ -289,7 +284,7 @@
\end{lstlisting}
If not specified otherwise, any package option also works with the command \lstinline\xA7\causet\xA7.
-\begin{longtable}{p{0.65\textwidth}p{0.13\textwidth}p{0.13\textwidth}}
+\begin{longtable}{p{0.63\textwidth}p{0.14\textwidth}p{0.14\textwidth}}
\toprule
Package option & \lstinline\xA7\pcauset\xA7 & \lstinline\xA7\rcauset\xA7
\\\midrule
@@ -309,19 +304,19 @@
\lstinline\xA7\usepackage[permutation]{causets}\xA7 shows permutations
& \multirow{3}{5em}{%
- \causetsDrawPermutationtrue \pcauset{4,2,7,6,1,5,3}}
+ \causetsDrawPermutationtrue \pcauset[name=Options_pcauset_perm]{4,2,7,6,1,5,3}}
& \multirow{3}{5em}{%
- \causetsDrawPermutationtrue \rcauset{4,2,7,6,1,5,3}{2/5}}
+ \causetsDrawPermutationtrue \rcauset[name=Options_rcauset_perm]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\causetsDrawPermutationtrue\xA7 activates this option)
\\
(\lstinline\xA7\causetsDrawPermutationfalse\xA7 deactivates this option)
-\\\midrule
+\\\pagebreak%\midrule
\lstinline\xA7\usepackage[permutation, uunlabeled]{causets}\xA7
& \multirow{4}{5em}{%
- \causetsDrawPermutationtrue \causetsDrawULabelsfalse \pcauset{4,2,7,6,1,5,3}}
+ \causetsDrawPermutationtrue \causetsDrawULabelsfalse \pcauset[name=Options_pcauset_permv]{4,2,7,6,1,5,3}}
& \multirow{4}{5em}{%
- \causetsDrawPermutationtrue \causetsDrawULabelsfalse \rcauset{4,2,7,6,1,5,3}{2/5}}
+ \causetsDrawPermutationtrue \causetsDrawULabelsfalse \rcauset[name=Options_rcauset_permv]{4,2,7,6,1,5,3}{2/5}}
\\
shows permutations without u-labels
\\
@@ -331,9 +326,9 @@
\\\midrule
\lstinline\xA7\usepackage[permutation, vunlabeled]{causets}\xA7
& \multirow{4}{5em}{%
- \causetsDrawPermutationtrue \causetsDrawVLabelsfalse \pcauset{4,2,7,6,1,5,3}}
+ \causetsDrawPermutationtrue \causetsDrawVLabelsfalse \pcauset[name=Options_pcauset_permu]{4,2,7,6,1,5,3}}
& \multirow{4}{5em}{%
- \causetsDrawPermutationtrue \causetsDrawVLabelsfalse \rcauset{4,2,7,6,1,5,3}{2/5}}
+ \causetsDrawPermutationtrue \causetsDrawVLabelsfalse \rcauset[name=Options_rcauset_permu]{4,2,7,6,1,5,3}{2/5}}
\\
shows permutations without v-labels
\\
@@ -343,40 +338,40 @@
\\\midrule\midrule
\lstinline\xA7\usepackage[labeled]{causets}\xA7 shows labeled events
& \multirow{3}{5em}{%
- \causetsDrawLabelstrue \pcauset{4,2,7,6,1,5,3}}
+ \causetsDrawLabelstrue \pcauset[name=Options_pcauset_labeled]{4,2,7,6,1,5,3}}
& \multirow{3}{5em}{%
- \causetsDrawLabelstrue \rcauset{4,2,7,6,1,5,3}{2/5}}
+ \causetsDrawLabelstrue \rcauset[name=Options_rcauset_labeled]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\causetsDrawLabelstrue\xA7 activates labels)
\\
(\lstinline\xA7\causetsDrawLabelsfalse\xA7 deactivates labels)
\\\midrule\midrule
- \lstinline\xA7\usepackage[continuous]{causets}\xA7 allows links to cross over events. Link interruptions (default) only affect the \lstinline\xA7\causet\xA7 command, but not the examples of \lstinline\xA7\pcauset\xA7 and \lstinline\xA7\rcauset\xA7, shown on the right.
-& \multirow{5}{5em}{%
- \causetsBreakLinkstrue \pcauset{4,2,7,6,1,5,3}}
-& \multirow{5}{5em}{%
- \causetsBreakLinkstrue \rcauset{4,2,7,6,1,5,3}{2/5}}
+ \lstinline\xA7\usepackage[continuous]{causets}\xA7 allows links to cross over events. Link interruptions (default) only affect the \lstinline\xA7\causet\xA7 command and ``restyled'' links of \lstinline\xA7\rcauset\xA7, but not the examples of shown on the right.
+& \multirow{6}{5em}{%
+ \causetsBreakLinkstrue \pcauset[name=Options_pcauset_continuous]{4,2,7,6,1,5,3}}
+& \multirow{6}{5em}{%
+ \causetsBreakLinkstrue \rcauset[name=Options_rcauset_continuous]{4,2,7,6,1,5,3}{2/5}}
\\
- Details on interrupted (broken) links are given below.
+ Details on interrupted (broken) links are given below this table.
\\\midrule
\lstinline\xA7\usepackage[caps]{causets}\xA7 sets caps as link tips
& \multirow{2}{5em}{%
- \pcauset[cap links]{4,2,7,6,1,5,3}}
+ \pcauset[name=Options_pcauset_caps, cap links]{4,2,7,6,1,5,3}}
& \multirow{2}{5em}{%
- \rcauset[cap links]{4,2,7,6,1,5,3}{2/5}}
+ \rcauset[name=Options_rcauset_caps, cap links]{4,2,7,6,1,5,3}{2/5}}
\\
\\\midrule
- \lstinline\xA7\usepackage[arrows]{causets}\xA7 sets arrows (rounded, open stealth) as link tips
+ \lstinline\xA7\usepackage[arrows]{causets}\xA7 sets arrows (rounded stealth) as link tips
& \multirow{2}{5em}{%
- \pcauset[arrow links]{4,2,7,6,1,5,3}}
+ \pcauset[name=Options_pcauset_arrows, arrow links]{4,2,7,6,1,5,3}}
& \multirow{2}{5em}{%
- \rcauset[arrow links]{4,2,7,6,1,5,3}{2/5}}
+ \rcauset[name=Options_rcauset_arrows, arrow links]{4,2,7,6,1,5,3}{2/5}}
\\\midrule
\lstinline\xA7\usepackage[unlinked]{causets}\xA7 does not draw links
& \multirow{3}{5em}{%
- \causetsDrawLinksfalse \pcauset{4,2,7,6,1,5,3}}
+ \causetsDrawLinksfalse \pcauset[name=Options_pcauset_unlinked]{4,2,7,6,1,5,3}}
& \multirow{3}{5em}{%
- \causetsDrawLinksfalse \rcauset{4,2,7,6,1,5,3}{2/5}}
+ \causetsDrawLinksfalse \rcauset[name=Options_rcauset_unlinked]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\causetsDrawLinkstrue\xA7 actives links)
\\
@@ -384,55 +379,55 @@
\\\midrule\midrule
\lstinline\xA7\usepackage[tiny]{causets}\xA7 for tiny diagrams
& \multirow{2}{5em}{%
- \pcauset[tiny]{4,2,7,6,1,5,3}}
+ \pcauset[name=Options_pcauset_tiny, tiny]{4,2,7,6,1,5,3}}
& \multirow{2}{5em}{%
- \rcauset[tiny]{4,2,7,6,1,5,3}{2/5}}
+ \rcauset[name=Options_rcauset_tiny, tiny]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\tikzcausetsset{tiny}\xA7 sets tiny sizes)
\\\midrule
\lstinline\xA7\usepackage[smaller]{causets}\xA7 for very small diagrams
& \multirow{2}{5em}{%
- \pcauset[very small]{4,2,7,6,1,5,3}}
+ \pcauset[name=Options_pcauset_verysmall, very small]{4,2,7,6,1,5,3}}
& \multirow{2}{5em}{%
- \rcauset[very small]{4,2,7,6,1,5,3}{2/5}}
+ \rcauset[name=Options_rcauset_verysmall, very small]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\tikzcausetsset{very small}\xA7 sets very small sizes)
\\\midrule
\lstinline\xA7\usepackage[small]{causets}\xA7 for small diagrams
& \multirow{2}{5em}{%
- \pcauset[small]{4,2,7,6,1,5,3}}
+ \pcauset[name=Options_pcauset_small, small]{4,2,7,6,1,5,3}}
& \multirow{2}{5em}{%
- \rcauset[small]{4,2,7,6,1,5,3}{2/5}}
+ \rcauset[name=Options_rcauset_small, small]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\tikzcausetsset{small}\xA7 sets small sizes)
\\\pagebreak%\midrule
For comparison, here are the normal sized causets.
& \multirow{2}{5em}{%
- \pcauset[normal]{4,2,7,6,1,5,3}}
+ \pcauset[name=Options_pcauset, normal]{4,2,7,6,1,5,3}}
& \multirow{2}{5em}{%
- \rcauset[normal]{4,2,7,6,1,5,3}{2/5}}
+ \rcauset[name=Options_rcauset, normal]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\tikzcausetsset{normal}\xA7 sets normal sizes)
\\\midrule
\lstinline\xA7\usepackage[large]{causets}\xA7 for large diagrams
& \multirow{3}{5em}{%
- \pcauset[large]{4,2,7,6,1,5,3}}
+ \pcauset[name=Options_pcauset_large, large]{4,2,7,6,1,5,3}}
& \multirow{3}{5em}{%
- \rcauset[large]{4,2,7,6,1,5,3}{2/5}}
+ \rcauset[name=Options_rcauset_large, large]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\tikzcausetsset{large}\xA7 sets large sizes)
\\[1.3em]\midrule
\lstinline\xA7\usepackage[larger]{causets}\xA7 for very large diagrams
& \multirow{3}{5em}{%
- \pcauset[very large]{4,2,7,6,1,5,3}}
+ \pcauset[name=Options_pcauset_verylarge, very large]{4,2,7,6,1,5,3}}
& \multirow{3}{5em}{%
- \rcauset[very large]{4,2,7,6,1,5,3}{2/5}}
+ \rcauset[name=Options_rcauset_verylarge, very large]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\tikzcausetsset{very large}\xA7 sets very large sizes)
\\[2.1em]\midrule
\lstinline\xA7\usepackage[huge]{causets}\xA7 for huge diagrams
& \multirow{4}{5em}{%
- \pcauset[huge]{4,2,7,6,1,5,3}}
+ \pcauset[name=Options_pcauset_huge, huge]{4,2,7,6,1,5,3}}
\\
(\lstinline\xA7\tikzcausetsset{huge}\xA7 sets huge sizes)
\\
@@ -440,33 +435,33 @@
\\[2.5em]\midrule\midrule
\lstinline\xA7\usepackage[black]{causets}\xA7 for black and white causets
& \multirow{2}{5em}{%
- \pcauset[black colors]{4,2,7,6,1,5,3}}
+ \pcauset[name=Options_pcauset_black, black colors]{4,2,7,6,1,5,3}}
& \multirow{2}{5em}{%
- \rcauset[black colors]{4,2,7,6,1,5,3}{2/5}}
+ \rcauset[name=Options_rcauset_black, black colors]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\tikzcausetsset{black colors}\xA7 activates the option)
\\\midrule
\lstinline\xA7\usepackage[gray]{causets}\xA7 for grey scale causets (default)
-& \multirow{2}{5em}{%
- \pcauset[gray colors]{4,2,7,6,1,5,3}}
-& \multirow{2}{5em}{%
- \rcauset[gray colors]{4,2,7,6,1,5,3}{2/5}}
+& \multirow{3}{5em}{%
+ \pcauset[name=Options_pcauset_gray, gray colors]{4,2,7,6,1,5,3}}
+& \multirow{3}{5em}{%
+ \rcauset[name=Options_rcauset_gray, gray colors]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\tikzcausetsset{gray colors}\xA7 activates the option)
\\\midrule
\lstinline\xA7\usepackage[blue]{causets}\xA7 for blue causets
& \multirow{2}{5em}{%
- \pcauset[blue colors]{4,2,7,6,1,5,3}}
+ \pcauset[name=Options_pcauset_blue, blue colors]{4,2,7,6,1,5,3}}
& \multirow{2}{5em}{%
- \rcauset[blue colors]{4,2,7,6,1,5,3}{2/5}}
+ \rcauset[name=Options_rcauset_blue, blue colors]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\tikzcausetsset{blue colors}\xA7 activates the option)
\\\midrule
\lstinline\xA7\usepackage[neon]{causets}\xA7 for brightly coloured causets
& \multirow{3}{5em}{%
- \pcauset[neon colors]{4,2,7,6,1,5,3}}
+ \pcauset[name=Options_pcauset_neon, neon colors]{4,2,7,6,1,5,3}}
& \multirow{3}{5em}{%
- \rcauset[neon colors]{4,2,7,6,1,5,3}{2/5}}
+ \rcauset[name=Options_rcauset_neon, neon colors]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\tikzcausetsset{neon colors}\xA7 activates the option)
\\
@@ -473,38 +468,56 @@
Details on colour options are given in \autoref{sec:Colors}.
\\\midrule\midrule
\lstinline\xA7\usepackage[spatial]{causets}\xA7 shows dashed lines between spatially separated events (which is a secondary partial order for the causets drawn with \lstinline\xA7\pcauset\xA7). This option only affects the \lstinline\xA7\pcauset\xA7 and \lstinline\xA7\rcauset\xA7 commands, but not the \lstinline\xA7\causet\xA7 command.
-& \multirow{3}{5em}{%
- \pcauset[spatially linked]{4,2,7,6,1,5,3}}
-& \multirow{3}{5em}{%
- \rcauset[spatially linked]{4,2,7,6,1,5,3}{2/5}}
+& \multirow{7}{5em}{%
+ \pcauset[name=Options_pcauset_spatial, spatially linked]{4,2,7,6,1,5,3}}
+& \multirow{7}{5em}{%
+ \rcauset[name=Options_rcauset_spatial, spatially linked]{4,2,7,6,1,5,3}{2/5}}
\\
(\lstinline\xA7\causetsDrawSpatialLinkstrue\xA7 activates the option)
\\
(\lstinline\xA7\causetsDrawSpatialLinksfalse\xA7 deactivates the option)
+\\\midrule
+ \lstinline\xA7\usepackage[external]{causets}\xA7 loads the \lstinline\xA7external\xA7 library, sets the external file name prefix to ``\lstinline\xA7causets/\xA7'', and enables the use of causet names for the external file names. (This feature has to be loaded as option in the preamble not later in the document.)
+& \multirow{6}{5em}{%
+ \pcauset[name=Options_pcauset]{4,2,7,6,1,5,3}}
+& \multirow{6}{5em}{%
+ \rcauset[name=Options_rcauset]{4,2,7,6,1,5,3}{2/5}}
+\\
+ For details on externalization of causets, see \autoref{sec:ExternalCausets}.
\\\bottomrule
\end{longtable}
-By default, the links in a \lstinline\xA7\causet\xA7 diagram are interrupted if they cross over another event (exactly over the event centre).
-Any such crossing of links over events can only occur for the links explicitly specified for the \lstinline\xA7\causet\xA7 command, but not for the links drawn by \lstinline\xA7\pcauset\xA7 or \lstinline\xA7\rcauset\xA7.
+By default, the links in a diagram are interrupted if they cross over another event (exactly over the event centre).
+Any such crossing of links over events can only occur for the links explicitly specified for the \lstinline\xA7\causet\xA7 command or the locally restyled links of the \lstinline\xA7\rcauset\xA7 command, but not for the links drawn by \lstinline\xA7\pcauset\xA7 or automatically drawn links by \lstinline\xA7\rcauset\xA7.
This feature is activated by default (\lstinline\xA7\causetsBreakLinkstrue\xA7) and can be deactivated with \lstinline\xA7\causetsBreakLinksfalse\xA7, or with the option \lstinline\xA7continuously linked\xA7.
For example, here is a causet that embeds in 3-dimensional but not in 2-dimensional Minkowski spacetime.
-This causet has one event (0) in the centre that is linked to events -3 and 3 but not to events -6 and 6, while a link from -6 to 6 crosses over it.
+This causet has one event (0) in the centre that is linked to events -3 and 3 but not to events -6 and 6, while a link (blue) from -6 to 6 crosses over it.
\begin{lstlisting}
\usepackage[larger]{causets}
-\tikzcausetsset{labels={right, position=east}, offset=-8}
-
+\tikzcausetsset{labels={right, position=east}}
... \begin{document} ...
-
-\causet[brokenly linked]{7,10,3,1,12,5,2,8,14,11,4,15,13,6,9} {1/2,1/12,2/4,2/14,3/4,3/5,4/6,4/15,5/6,5/8,6/9,7/8,7/10,8/9,8/11, 10/11,10/12,11/13,12/13,12/14,14/15}
-\causet[continuously linked]{7,10,3,1,12,5,2,8,14,11,4,15,13,6,9} {1/2,1/12,2/4,2/14,3/4,3/5,4/6,4/15,5/6,5/8,6/9,7/8,7/10,8/9,8/11, 10/11,10/12,11/13,12/13,12/14,14/15}
+\causet[brokenly linked]{-1,2,-5,-7,4,-3,-6,0,6,3,-4,7,5,-2,1} {-7/-6,-7/4,-6/-4,-6/6/blue!50!cyan,-5/-4,-5/-3,-4/-2,-4/7, -3/-2,-3/0,-2/1,-1/0,-1/2,0/1,0/3,2/3,2/4,3/5,4/5,4/6,6/7}
+\causet[continuously linked]{-1,2,-5,-7,4,-3,-6,0,6,3,-4,7,5,-2,1} {-7/-6,-7/4,-6/-4,-6/6/blue!50!cyan,-5/-4,-5/-3,-4/-2,-4/7, -3/-2,-3/0,-2/1,-1/0,-1/2,0/1,0/3,2/3,2/4,3/5,4/5,4/6,6/7}
\end{lstlisting}
\begin{center}
- \causet[very large, labels={right, at=east}, offset=-8]{7,10,3,1,12,5,2,8,14,11,4,15,13,6,9}{1/2,1/12,2/4,2/14,3/4,3/5,4/6,4/15,5/6,5/8,6/9,7/8,7/10,8/9,8/11,10/11,10/12,11/13,12/13,12/14,14/15}
- \hspace{1cm}
- \causet[very large, labels={right, at=east}, continuously linked, offset=-8]{7,10,3,1,12,5,2,8,14,11,4,15,13,6,9}{1/2,1/12,2/4,2/14,3/4,3/5,4/6,4/15,5/6,5/8,6/9,7/8,7/10,8/9,8/11,10/11,10/12,11/13,12/13,12/14,14/15}
+ \causet[name=BrokenlyLinkedExample_verylarge, very large, labels={right, at=east}]{-1,2,-5,-7,4,-3,-6,0,6,3,-4,7,5,-2,1}{-7/-6,-7/4,-6/-4,-6/6/blue!50!cyan,-5/-4,-5/-3,-4/-2,-4/7,-3/-2,-3/0,-2/1,-1/0,-1/2,0/1,0/3,2/3,2/4,3/5,4/5,4/6,6/7}
+ \hspace{1.5cm}
+ \causet[name=ContinuouslyLinkedExample_verylarge, very large, labels={right, at=east}, continuously linked]{-1,2,-5,-7,4,-3,-6,0,6,3,-4,7,5,-2,1}{-7/-6,-7/4,-6/-4,-6/6/blue!50!cyan,-5/-4,-5/-3,-4/-2,-4/7,-3/-2,-3/0,-2/1,-1/0,-1/2,0/1,0/3,2/3,2/4,3/5,4/5,4/6,6/7}
\end{center}
+Note that the links are drawn in the order given by the second argument.
+Similar results are obtained with the following \lstinline\xA7\rcauset\xA7 commands (since version 1.4)
+\begin{lstlisting}
+\rcauset[brokenly linked]{-1,2,-5,-7,4,-3,-6,0,6,3,-4,7,5,-2,1} {-7/-3,-6/0,-5/4,-4/5,0/6,3/7,-6/6/blue!50!cyan}
+\rcauset[continuously linked]{-1,2,-5,-7,4,-3,-6,0,6,3,-4,7,5,-2,1} {-7/-3,-6/0,-5/4,-4/5,0/6,3/7,-6/6/blue!50!cyan}
+\end{lstlisting}
+where all pairs of integers in the second argument are links to be removed (by default, get the local style \lstinline\xA7draw=none\xA7).
+All links with a local style specified (here the last link only) are drawn in the order they appear after all automatic links have been drawn.
+Local styles are explained in \autoref{sec:LocalStyles} in more detail.
+All main commands, the short hand macros (see \autoref{sec:ShortHandMacros}), and the command \lstinline\xA7\causetfile\xA7 (see \autoref{sec:ExternalCausets}) add a small padding to the left and right of the diagram for a better spacing within text and mathematical expressions.
+The padding is adjustable with \lstinline\xA7padding=\xA7\PH\ and stored in the macro \lstinline\xA7\causets at Padding\xA7 (by default, it is \lstinline\xA7\thinspace\xA7).
+
\section{Short hand macros}
\label{sec:ShortHandMacros}
The permutations and labels for causets can be switched on globally with the package options \lstinline\xA7permutation\xA7 and \lstinline\xA7labeled\xA7, or at any point in the document with the switches \\
@@ -511,11 +524,11 @@
\lstinline\xA7\causetsDrawPermutationtrue\xA7 (same as the command \lstinline\xA7\tikzcausetsset{show permutation}\xA7) and \lstinline\xA7\causetsDrawLabelstrue\xA7 (or \lstinline\xA7\tikzcausetsset{labeled}\xA7), respectively.
To show only single causets with either of these options, there exist short hand macros for all three main commands.
-Each main command can be followed by a capital letter \lstinline\xA7P\xA7 (to show the permutation), \lstinline\xA7L\xA7 (to show event labels), or \lstinline\xA7X\xA7 (to show both).
+Each main command can be followed by a capital letter \lstinline\xA7P\xA7 (to show the permutation only), \lstinline\xA7L\xA7 (to show event labels only), or \lstinline\xA7X\xA7 (to show both).
\begin{lstlisting}
Causets with permutations (and labels) \pcausetP{4,1,2,3}, \pcausetX{1,2,3,4}, \pcausetL{1,2,4,3}, and without any \pcauset{2,4,1,3}.
\end{lstlisting}
-Causets with permutations (and labels) \pcausetP{4,1,2,3}, \pcausetX{1,2,3,4}, \pcausetL{1,2,4,3}, and without any \pcauset{2,4,1,3}.
+Causets with permutations (and labels) \pcausetP[name=Macro_P]{4,1,2,3}, \pcausetX[name=Macro_X]{1,2,3,4}, \pcausetL[name=Macro_L]{1,2,4,3}, and without any \pcauset[name=Macro]{2,4,1,3}.
These results are also obtained by using the optional parameter, for example:
\begin{lstlisting}
@@ -525,16 +538,14 @@
There are a few short hand macros for small common causets as shown here.
\begin{lstlisting}
\causetFence{1}, \causetFence{2}, \ldots, \causetFence{10},
-\causetClosedFence{1}, \causetClosedFence{2}, \ldots, \causetClosedFence{10},
-\causetCrown
+\causetCrown{1}, \causetCrown{2}, \ldots, \causetCrown{10}
\end{lstlisting}
-\causetFence{1}, \causetFence{2}, \ldots, \causetFence{10},
-\causetClosedFence{1}, \causetClosedFence{2}, \ldots, \causetClosedFence{10},
-\causetCrown
+\causetFence[name=2Chain]{1}, \causetFence[name=2Fence]{2}, \ldots, \causetFence[name=10Fence]{10},
+\causetCrown[name=2Chain]{1}, \causetCrown[name=2Crown]{2}, \ldots, \causetCrown[name=10Crown]{10}
-\section{Labeling and replacing events (for infinite causets)}
+\section{Labeling and replacing events (also to represent infinite causets)}
\label{sec:LabelingReplacing}
-With version v1.3 of the package, it is possible to relabel and replace causet events.
+Since version v1.3 of the package, it is possible to relabel and replace causet events.
These features are useful for labelling events arbitrarily, and drawing diagrams of infinite causets using ellipsis.
By default, all events get named and labeled by the integers given in the arguments of the commands.
@@ -541,11 +552,11 @@
For example, \lstinline\xA7\pcausetL{0,2,1}\xA7 creates the diagram \pcausetL{0,2,1} where the event notes are named \lstinline\xA7(E0)\xA7, \lstinline\xA7(E2)\xA7, \lstinline\xA7(E1)\xA7, respectively, while the label nodes have the names \lstinline\xA7(EL0)\xA7, \lstinline\xA7(EL2)\xA7, \lstinline\xA7(EL1)\xA7.
If the permutation is displayed as well, the $u$- and $v$-coordinate labels are the nodes \lstinline\xA7(EUL\xA7\PH\lstinline\xA7)\xA7 and \lstinline\xA7(EVL\xA7\PH\lstinline\xA7)\xA7, with \PH\ taking on the values $\{0, 2, 1 \}$.
-To offset the names of all causet events by the same amount, use the key-value pair \lstinline\xA7offset=\xA7\PH\ to adjust the naming and labelling of events and get distinct event names, while the same integers are used in the command arguments.
+To offset the names of all causet events by an integer amount, use the key-value pair \lstinline\xA7offset=\xA7\PH\ to adjust the naming and labelling of events and get distinct event names, while the same integers are used in the command arguments.
Consider the following example.
\begin{lstlisting}
\begin{align*}
- \tikzcausetsset{large, labels={below=1pt, at=south}}
+ \tikzcausetsset{large}
\cdots\quad
\pcausetP[offset=-12]{0,2,1,3}\quad\cdots\quad
\pcausetL{0,2,1,3}\quad\cdots\quad
@@ -552,21 +563,21 @@
\pcausetL[offset=12]{0,2,1,3}\quad\cdots
\end{align*}
\end{lstlisting}
-\vspace{-1em}
+\vspace{-1ex}
\begin{align*}
- \tikzcausetsset{large, labels={below=1pt, at=south}}
+ \tikzcausetsset{large}
\cdots\quad
- \pcausetP[offset=-12]{0,2,1,3}\quad\cdots\quad
- \pcausetL{0,2,1,3}\quad\cdots\quad
- \pcausetL[offset=12]{0,2,1,3}\quad\cdots
+ \pcausetP[name=Diamond_permoffset, offset=-12]{0,2,1,3}\quad\cdots\quad
+ \pcausetL[name=Diamond_labeled]{0,2,1,3}\quad\cdots\quad
+ \pcausetL[name=Diamond_labeledoffset, offset=12]{0,2,1,3}\quad\cdots
\end{align*}
Here, the three commands have the same integer argument \lstinline\xA7{0,2,1,3}\xA7, but the events are named with the specified offsets for the sub-causets, and the labels are adjusted accordingly.
In this way, it will be possible to address the event (and label) nodes of the sub-causets distinctively within a larger TikZ picture.
For more details on how to draw causets within a TikZ picture, see \autoref{sec:TikZ}.
-When you (only) want to change the labelling of events, add a slash and the new event label directly after the event integer in the first command argument.
+When you (only) want to change the labelling of an event to \PH, add a slash and \lstinline\xA7label=\xA7\PH\ directly after the event integer in the first command argument.
For example, the causet \pcauset{2,1,3} has six different labellings by (distinct) integers from the set $\{ 0, 1, 2 \}$,
-\pagebreak
+%\pagebreak
\begin{lstlisting}
\begin{align}
\text{order-preserving:} &&
@@ -573,47 +584,49 @@
L_{\mathrm{op}} &=
\left\{
\pcausetL{1,0,2},
- \pcausetL{1/0,0/1,2}
+ \pcausetL{1/label=0,0/label=1,2}
\right\}
, \\
\text{not order-preserving:} &&
L_{\mathrm{nop}} &=
\left\{
- \pcauset{1/2,0/1,2/0},
- \pcausetL{1,0/2,2/0},
- \pcausetL{1/2,0,2/1},
- \pcauset{1/0,0/2,2/1}
+ \pcauset{1/label=2,0/label=1,2/label=0},
+ \pcausetL{1,0/label=2,2/label=0},
+ \pcausetL{1/label=2,0,2/label=1},
+ \pcauset{1/label=0,0/label=2,2/label=1}
\right\}
.
\end{align}
\end{lstlisting}
-\vspace{-1em}
+\vspace{-1ex}
\begin{align}
\text{order-preserving:} &&
L_{\mathrm{op}} &=
\left\{
- \pcausetL{1,0,2},
- \pcausetL{1/0,0/1,2}
+ \pcausetL[name=Wedge_labeled102]{1,0,2},
+ \pcausetL[name=Wedge_labeled012]{1/label=0,0/label=1,2}
\right\}
, \\
\text{not order-preserving:} &&
L_{\mathrm{nop}} &=
\left\{
- \pcauset{1/2,0/1,2/0},
- \pcausetL{1,0/2,2/0},
- \pcausetL{1/2,0,2/1},
- \pcauset{1/0,0/2,2/1}
+ \pcauset[name=Wedge_labeled210]{1/label=2,0/label=1,2/label=0},
+ \pcausetL[name=Wedge_labeled120]{1,0/label=2,2/label=0},
+ \pcausetL[name=Wedge_labeled201]{1/label=2,0,2/label=1},
+ \pcauset[name=Wedge_labeled021]{1/label=0,0/label=2,2/label=1}
\right\}
.
\end{align}
-The replacing labels can be any text. It is recommended to write longer text labels in a \TeX\ group \lstinline\xA7{...}\xA7. Here is an example
+The replacing labels can be any text.
+Longer text labels should be written in a \TeX\ group \lstinline\xA7{...}\xA7.
+Here is an example
\begin{lstlisting}
-\pcauset[large]{2/$-\infty$,6,5,7,3/{Text and maths},4/-1}
+\pcauset[large]{2/label=$-\infty$,6,5,7,3/label={Text and $maths$},4/label=-1}
\end{lstlisting}
-\vspace{-0.5em}
+\vspace{-1ex}
\begin{center}
- \pcauset[large]{2/$-\infty$,6,5,7,3/{Text and maths},4/-1}
+ \pcauset[name=RelabeledEventsExample_large, large]{2/label=$-\infty$,6,5,7,3/label={Text and $maths$},4/label=-1}
\end{center}
Notice that replaced labels will always be visible, even if labels are deactivated (\lstinline\xA7\causetsDrawLabelsfalse\xA7) as in this example.
@@ -620,7 +633,7 @@
To change the style of the replaced labels, add the key-value pair
\lstinline\xA7replaced labels=\xA7\PH, which extends the style of standard labels.
-Similarly to the replacement of labels, you can replace event nodes by adding yet another slash and the event node text after the event integer in the permutation of the command.
+Similarly to the replacement of labels, you can replace event nodes by using a slash followed by \lstinline\xA7event=\xA7\PH.
This feature may have its main application for the representation of infinite causets, for example, the code
\begin{lstlisting}
% Define ellipsis rotated by #1 degrees:
@@ -628,13 +641,13 @@
...
% Draw infinite causet with ellipsis
\pcauset[large, replaced labels={below, at=south}, replaced events={text scale=1}]
-{-2/{$\downarrow$ continues infinitely $\downarrow$}/\rdots[90], -1,0,1,16,14,15,11,12,13,7,8,9,10, 2//\rdots[10],3,4//~,5,6//\rdots[-10]}
+ {-2/{label={$\downarrow$ continues infinitely $\downarrow$}, event={\rdots[90]}}, -1,0,1,16,14,15,11,12,13,7,8,9,10, 2/event={\rdots[10]},3,4/event={~},5,6/event={\rdots[-10]}}
\end{lstlisting}
yields the diagram
\begin{center}
\newcommand{\rdots}[1][0]{\rotatebox{#1}{...}}
- \pcauset[large, replaced labels={below, at=south}, replaced events={text scale=1}]
- {-2/{$\downarrow$ continues infinitely $\downarrow$}/\rdots[90], -1,0,1,16,14,15,11,12,13,7,8,9,10, 2//\rdots[10],3,4//~,5,6//\rdots[-10]}
+ \pcauset[name=ReplacedEventsExample_large, large, replaced labels={below, at=south}, replaced events={text scale=1}]
+ {-2/{label={$\downarrow$ continues infinitely $\downarrow$}, event={\rdots[90]}}, -1,0,1,16,14,15,11,12,13,7,8,9,10, 2/event={\rdots[10]},3,4/event={~},5,6/event={\rdots[-10]}}
\end{center}
Here, three events are replaced by ellipsis with different rotations, and one event is replaced by an empty node (\lstinline\xA7~\xA7).
The style of the replaced events is specified via the key \lstinline\xA7replaced labels=\xA7\PH\ -- where \PH\ is \lstinline\xA7{text scale=1}\xA7 in this example.
@@ -645,16 +658,6 @@
The \lstinline\xA7at\xA7 key holds a coordinate of the event note.
The default positioning is \lstinline\xA7below left, at=south west\xA7.
-In summary, the three main commands take the form
-\\[1ex]
-\lstinline\xA7\pcauset{\xA7\PH[index]\lstinline\xA7/\xA7\PH[label]\lstinline\xA7/\xA7\PH[event text]\lstinline\xA7,...}\xA7
-\\[1ex]
-\lstinline\xA7\rcauset{\xA7\PH[index]\lstinline\xA7/\xA7\PH[label]\lstinline\xA7/\xA7\PH[event text]\lstinline\xA7,...}{\xA7\PH[unlink from event]\lstinline\xA7/\xA7\PH[unlink to event]\lstinline\xA7,...}\xA7
-\\[1ex]
-\lstinline\xA7\causet{\xA7\PH[index]\lstinline\xA7/\xA7\PH[label]\lstinline\xA7/\xA7\PH[event text]\lstinline\xA7,...}{\xA7\PH[link from event]\lstinline\xA7/\xA7\PH[link to event]\lstinline\xA7,...}\xA7
-\\[1ex]
-The full notation for the short hand macros (see \autoref{sec:ShortHandMacros}) is similar.
-
\section{Changing sizes and fonts (for mathematical expressions)}
\label{sec:Sizes}
The pre-defined size styles have the following scaling with respect to the normal size:\vspace{-1ex}
@@ -674,13 +677,7 @@
\begin{lstlisting}
\begin{equation}
\sum_{C \in \tikzcausetsset{small}
- \left\{
- \pcauset{1,2,3},\;
- \pcauset{1,3,2,4},\;
- \pcauset{1,4,3,2,5},\;
- \pcauset{1,5,4,3,2,6}
- \right\}}
- | C |
+ \Bigl\{ \pcauset{1,2,3}, \pcauset{1,3,2,4}, \pcauset{1,4,3,2,5}, \pcauset{1,5,4,3,2,6} \Bigr\}} | C |
= \left| \pcauset{1,2,3} \right|
+ \left| \pcauset{1,3,2,4} \right|
+ \left| \pcauset{1,4,3,2,5} \right|
@@ -689,17 +686,17 @@
\end{lstlisting}
\begin{equation}
\sum_{C \in \tikzcausetsset{small}
- \left\{
- \pcauset{1,2,3},
- \;\pcauset{1,3,2,4},
- \;\pcauset{1,4,3,2,5},
- \;\pcauset{1,5,4,3,2,6}
- \right\}}
+ \Bigl\{
+ \pcauset[name=3Chain_small]{1,2,3},
+ \pcauset[name=Diamond_small]{1,3,2,4},
+ \pcauset[name=Pure3Diamond_small]{1,4,3,2,5},
+ \pcauset[name=Pure4Diamond_small]{1,5,4,3,2,6}
+ \Bigr\}}
| C |
- = \left| \pcauset{1,2,3} \right|
- + \left| \pcauset{1,3,2,4} \right|
- + \left| \pcauset{1,4,3,2,5} \right|
- + \left| \pcauset{1,5,4,3,2,6} \right|
+ = \left| \pcauset[name=3Chain]{1,2,3} \right|
+ + \left| \pcauset[name=Diamond]{1,3,2,4} \right|
+ + \left| \pcauset[name=Pure3Diamond]{1,4,3,2,5} \right|
+ + \left| \pcauset[name=Pure4Diamond]{1,5,4,3,2,6} \right|
\end{equation}
Like any other options, sizes can also be specified in the optional argument of a single causet diagram or with \lstinline\xA7\tikzcausetsset{...}\xA7 for the current scope.
@@ -737,7 +734,7 @@
\pcausetL[tile size=2ex, event size=1ex, link width=0.3ex, text scale=1]{13,8,14,9,3,15,12,1,6,16,5,11,7,2,10,4}
\end{lstlisting}
\begin{center}
- \pcausetL[tile size=2ex, event size=1ex, link width=0.3ex, text scale=1]{13,8,14,9,3,15,12,1,6,16,5,11,7,2,10,4}
+ \pcausetL[name=Example_resized, tile size=2ex, event size=1ex, link width=0.3ex, text scale=1]{13,8,14,9,3,15,12,1,6,16,5,11,7,2,10,4}
\end{center}
\vspace{1ex}
@@ -765,28 +762,92 @@
For the pre-defined colour schemes, use the keys \lstinline\xA7gray colors\xA7 (or \lstinline\xA7gray colors\xA7, default), \lstinline\xA7black colors\xA7 (or \lstinline\xA7black colors\xA7, only black and white), \lstinline\xA7blue colors\xA7 (or \lstinline\xA7blue colors\xA7, blue colour tones), or \lstinline\xA7neon colors\xA7 (or \lstinline\xA7neon colors\xA7, bright colours).
These keys set all the colours listed above to pre-defined values.
-\section{Standalone causets}
-\label{sec:Standalone}
-For any document that contains many (large) causet diagrams or the same causets that are used repeatedly, the compilation time can be reduced by placing the commands in external files using the \lstinline\xA7standalone\xA7 package.
+\section{Changing the styles of individual events and links}
+\label{sec:LocalStyles}
+The full supported formats of the three main commands are
+\\[1ex]
+\lstinline\xA7\pcauset[\xA7\PH[causet style]\lstinline\xA7]{\xA7\PH[index]\lstinline\xA7/\xA7\PH[event style]\lstinline\xA7,...}\xA7
+\\[1ex]
+\lstinline\xA7\rcauset[\xA7\PH[causet style]\lstinline\xA7]{\xA7\PH[index]\lstinline\xA7/\xA7\PH[event style]\lstinline\xA7,...}{\xA7\PH[unlink from]\lstinline\xA7/\xA7\PH[unlink to]\lstinline\xA7,...,\xA7
+\\\PH[link from]\lstinline\xA7/\xA7\PH[link to]\lstinline\xA7/\xA7\PH[link style]\lstinline\xA7,...}\xA7
+\\[1ex]
+\lstinline\xA7\causet[\xA7\PH[causet style]\lstinline\xA7]{\xA7\PH[index]\lstinline\xA7/\xA7\PH[event style]\lstinline\xA7,...}{\xA7\PH[link from]\lstinline\xA7/\xA7\PH[link to]\lstinline\xA7/\xA7\PH[link style]\lstinline\xA7,...}\xA7
+\\[1ex]
+and similarly for all short hand macros as described in \autoref{sec:ShortHandMacros}.
+The style values are all optional, where \PH[causet style] is applied to that causet only, \PH[event style] is applied to a single event, and \PH[link style] is applied to a single link.
-For example, create a file named \lstinline\xA7mycauset.tex\xA7 in the same directory as the main file with the following code:
+The feature to apply styles only to individual events and links is to highlight or modify subsets of a causet, for example, by using different colours:
\begin{lstlisting}
-\documentclass[tikz]{standalone}
+\rcausetL[large, subset A/.style={red, dotted}, subset B/.style=blue, replaced labels={text scale=1, at=east, right}]{2/{subset A, label=event $a$}, 5/subset B, 1, 3/{subset A, label=$b$, replaced labels=orange}, 4/subset B, 6/subset B}{2/3/subset A, 4/6/subset B, 5/6/subset B}
+\end{lstlisting}
+\vspace{-1ex}
+\begin{center}
+ \rcausetL[name=Example_locallystyled, large, subset A/.style={red, dotted}, subset B/.style=blue, replaced labels={text scale=1, at=east, right}]{2/{subset A, label=event $a$}, 5/subset B, 1, 3/{subset A, label=$b$, replaced labels=orange}, 4/subset B, 6/subset B}{2/3/subset A, 4/6/subset B, 5/6/subset B}
+\end{center}
+Note that \lstinline\xA7label=event $a$\xA7 and \lstinline\xA7label=$b$\xA7 adds (replaced) labels $a$ and $b$, respectively, but their style is not affected by \lstinline\xA7subset A\xA7.
+To change the style of the labels, we have to use the \lstinline\xA7replaced labels\xA7 key, see also \autoref{sec:LabelingReplacing}.
+
+\section{Externalisation and standalone causets}
+\label{sec:ExternalCausets}
+For any document that contains many (large) causet diagrams or the same causets that are used repeatedly, the compilation time can be reduced by moving the graphics to external files using the externalisation library of TikZ or \lstinline\xA7standalone\xA7 files.
+
+The externalisation feature of TikZ provides the tools to automatically externalise all causet diagrams and only recompile them when they are changed in the document.
+To enable this feature, use the \lstinline\xA7external\xA7 option when loading the package and make sure that the document is compiled with the flag
+\begin{lstlisting}
+--shell-escape
+\end{lstlisting}
+The \lstinline\xA7external\xA7 option loads the \lstinline\xA7external\xA7 library, sets the \lstinline\xA7prefix\xA7 to add ``\lstinline\xA7causets/\xA7'' before each external file, and calls \lstinline\xA7\causetsNameExternaltrue\xA7 to use the manually specified names for external file names.
+Any causet can be manually named by providing the name key-value pair \lstinline\xA7name=\xA7\PH\ in the optional parameter of a causet command.
+As an example, the inline code
+\begin{lstlisting}
+\pcauset[name=Vee]{1,3,2}
+\end{lstlisting}
+yields the causet \pcauset[name=Vee]{1,3,2} and creates an external pdf file with the name \lstinline\xA7causets/Vee.pdf\xA7 relative to the main tex file.
+
+I recommend to always name causets, even if externalisation is not used.
+In this way, it is easier to read the source code and switch to externalising at a later point more easily.
+Note that the name of a causet does not have to be unique (especially if it is used repeatedly throughout the document), but you may give different names to causets with different style options to avoid unwanted overwrites.
+For a repeated causet in the document, either the same code is repeated, or the \lstinline\xA7\causetfile\xA7 command may be used, for example, \lstinline\xA7\pcauset[name=N]{2,4,1,3}\xA7 can be repeated with \lstinline\xA7\causetfile{N}\xA7 to print the N causet \pcauset[name=N]{2,4,1,3}.
+The macro \lstinline\xA7\causetfile[#1]{#2}\xA7 also accepts one optional argument \lstinline\xA7[#1]\xA7 and expands to
+\begin{lstlisting}
+\causets at Padding%
+\includegraphics[#1]{\causets at NamePrefix#2}%
+\causets at Padding
+\end{lstlisting}
+To redefine the prefix stored in \lstinline\xA7\causets at NamePrefix\xA7 and also set the \lstinline\xA7external\xA7 library prefix to the same value, use \lstinline\xA7\tikzcausetsset{set prefix=causets/}\xA7.
+However, to set \lstinline\xA7\causets at NamePrefix\xA7 only for \lstinline\xA7causets\xA7, use \lstinline\xA7name prefix=\xA7\PH.
+
+If you are already loading the \lstinline\xA7external\xA7 library for other uses, you do not want to use the \lstinline\xA7external\xA7 option, but add the following to the document's preamble:
+\begin{lstlisting}
+\usetikzlibrary{external}
+...
\usepackage{causets}
-\begin{document}
-\pcauset{3,2,4,1}
-\end{document}
+\tikzcausetsset{set prefix=causets/, name external=true}
\end{lstlisting}
-The compiled version is then included with the macro \lstinline\xA7\causetfile{mycauset}\xA7.
-The macro \lstinline\xA7\causetfile[#1]{#2}\xA7 also accepts one optional argument \lstinline\xA7[#1]\xA7 and redirects to
+For externalising only those causets that are named manually, set
\begin{lstlisting}
-\includegraphics[#1]{\causetspath/#2}
+\tikzset{external/only named=true}
\end{lstlisting}
-The macro \lstinline\xA7\causetspath\xA7 is pre-defined to \lstinline\xA7.\xA7 (the directory of the main \TeX\ file), but may be renewed to any desired directory with
+For switching externalisation on/off all together, the library provides the macros
\begin{lstlisting}
-\renewcommand{\causetspath}{my_causet_directory}
+\tikzexternaldisable
+\tikzexternalenable
\end{lstlisting}
+Please find further information on the \lstinline\xA7external\xA7 library in the TikZ manual.
+Graphics may also be moved to standalone tex files manually and included with \lstinline\xA7\causetfile\xA7 or \lstinline\xA7\includegraphics\xA7.
+For example, create a file named \lstinline\xA7M.tex\xA7 in the directory that was set to \lstinline\xA7name prefix\xA7 (by default, this is ``\lstinline\xA7./\xA7'') with the following code:
+\begin{lstlisting}
+\documentclass[tikz]{standalone}
+\usepackage{causets}
+\begin{document}
+\pcauset{4,2,5,1,3}
+\end{document}
+\end{lstlisting}
+The compiled version \pcauset[name=M]{4,2,5,1,3} is then included with the macro \lstinline\xA7\causetfile{M}\xA7.
+
+More examples on larger standalone graphics are given in \autoref{sec:TikZ}.
+
\section{Style changes in detail}
In the optional argument of the causet macros, you may use other TikZ options to change the output of the macros, for example:
\begin{lstlisting}
@@ -794,7 +855,7 @@
... \begin{document} ...
A labeled causet with red-framed semi-transparent labels, \pcausetL[labels={draw=red, fill=white, opacity=0.8, inner sep=1pt, scale=1.5}]{2,4,5,1,3}.
\end{lstlisting}
-A labeled causet with red-framed semi-transparent labels, \pcausetL[labels={draw=red, fill=white, opacity=0.8, inner sep=1pt, scale=1.5}]{2,4,5,1,3}.
+A labeled causet with red-framed semi-transparent labels, \pcausetL[name=NDash_redframedlabels, labels={draw=red, fill=white, opacity=0.8, inner sep=1pt, scale=1.5}]{2,4,5,1,3}.
In the same way, it is possible to modify the existing styles of all parts of the diagrams, which means that the default drawing styles are extended by the options passed as value to these keys: \vspace{-1ex}
\begin{enumerate}\itemsep=-1ex
@@ -808,7 +869,7 @@
\item \lstinline\xA7link pauses=\xA7\PH\ sets the ending line tip of each link at an interruption,
\item \lstinline\xA7link resumes=\xA7\PH\ sets the starting line tip of each link at an interruption,
\item \lstinline\xA7cap links\xA7 sets the starting and ending line tip of each link to a (reversed) cap,
- \item \lstinline\xA7arrow links\xA7 sets the ending line tip of each link to a rounded, open, stealth arrow,
+ \item \lstinline\xA7arrow links\xA7 sets the ending line tip of each link to a rounded, stealth arrow,
\item \lstinline\xA7spatial links=\xA7\PH\ shows the spatial links (\lstinline\xA7show spatial links\xA7) and appends to the style of the spatial links (secondary graph edges),
\item \lstinline\xA7all labels=\xA7\PH\ appends to the general style of all text labels (applies to the following three label types),
\item \lstinline\xA7labels=\xA7\PH\ shows the event labels (\lstinline\xA7show labels\xA7) and appends to the style that applies only to the event labels,
@@ -815,7 +876,7 @@
\item \lstinline\xA7ulabels=\xA7\PH\ shows the $u$ labels (\lstinline\xA7show ulabels\xA7) and appends to the style that applies only to the $u$ labels, and
\item \lstinline\xA7vlabels=\xA7\PH\ shows the $v$ labels (\lstinline\xA7show vlabels\xA7) and appends to the style that applies only to the $v$ labels.
\end{enumerate}
-In order to manually define the full style of the parts in the diagram - not extending, but \emph{overwriting all} drawing options - set the style of the following keys: \vspace{-1ex}
+In order to manually define the full style of the parts in the diagram -- not extending, but \emph{overwriting all} drawing options -- set the style of the following keys: \vspace{-1ex}
\begin{enumerate}\itemsep=-1ex
\item \lstinline\xA7every causet\xA7 for the general style of the causet diagram (like \lstinline\xA7baseline\xA7, see below),
\item \lstinline\xA7every tile\xA7 for the occupied permutation tiles,
@@ -837,7 +898,7 @@
... \begin{document} ...
\pcauset[large]{2,4,5,1,3}
\end{lstlisting}
-will generate all causets with square nodes as events and triangle caps on the future link ends, like \pcauset[large, events={rectangle}, links={-Triangle Cap[]}]{2,4,5,1,3}.
+will generate all causets with square nodes as events and triangle caps on the future (upper) link ends, like \pcauset[name=NDash_rectangleeventslarge, large, events={rectangle}, links={-Triangle Cap[]}]{2,4,5,1,3}.
\vspace{1ex}
By default, causets are placed such that a pre-defined coordinate point falls on the text baseline, \lstinline\xA7baseline=(baseline point)\xA7.
@@ -846,7 +907,7 @@
\begin{lstlisting}
\pcauset[baseline=2mm]{2,4,5,1,3}
\end{lstlisting}
-places the diagram centre $2\mathrm{mm}$ below the text base, \pcauset[baseline=2mm]{2,4,5,1,3}.
+places the diagram centre $2\mathrm{mm}$ below the text base, \pcauset[name=NDash_baseline, baseline=2mm]{2,4,5,1,3}.
\vspace{1ex}
\section{Using this package in TikZ pictures}
@@ -853,79 +914,122 @@
\label{sec:TikZ}
Since the package is TikZ based, using a causet within a TikZ picture is simple.
Each of the three main commands is based on a draw command in TikZ that has the same name but starts with \lstinline\xA7\draw...\xA7.
-The \lstinline\xA7\draw\xA7 macros, however, do not support an optional argument (since this can be specified directly in a TikZ picture) and they also do not have any short hand macros ending in \lstinline\xA7P\xA7, \lstinline\xA7L\xA7 or \lstinline\xA7X\xA7.
+The \lstinline\xA7\draw\xA7 macros, however, do not support an optional argument (since this can be specified directly in a TikZ picture) and they also do not have any short hand macros ending in \lstinline\xA7P\xA7, \lstinline\xA7L\xA7 or \lstinline\xA7X\xA7.
+The \lstinline\xA7\draw...\xA7 do not add extra padding (\lstinline\xA7\causets at Padding\xA7) on the left and right of the graphic either.
-The two following examples are given by external (standalone) TikZ graphics and included with \lstinline\xA7\causetfile{...}\xA7.
-More details on using causets in standalone files are given in \autoref{sec:Standalone}.
+The two following examples are given by external (standalone) TikZ graphics and included with \lstinline\xA7\includegraphics{...}\xA7.
+More details on using causets in standalone files are given in \autoref{sec:ExternalCausets}.
Note that the output of the \lstinline\xA7\draw\xA7 macros has the point (0,0) in the centre, so in order to shift it, we may enclose it in a TikZ scope, for example:
\lstinputlisting{causet_tikz_example1.tex}
\begin{center}
- \causetfile{causet_tikz_example1}
+ \includegraphics{causet_tikz_example1}
\end{center}
Note that this example also shows how to use the event nodes that are generated by the \lstinline\xA7\drawpcauset\xA7 macro.
The green arrow points to the node of the second causet event \lstinline\xA7(E5)\xA7.
-The causet events, event labels, $u$-axis labels, and $v$-axis lables are the nodes \lstinline\xA7(Ei)\xA7, \lstinline\xA7(ELi)\xA7, \lstinline\xA7(EULi)\xA7, and \lstinline\xA7(EVLi)\xA7, respectively, where $\smash{i \in [ 1, N ]}$ for a causet with $N$ events.
+The causet events, event labels, $u$-axis labels, and $v$-axis lables are the nodes \lstinline\xA7(Ei)\xA7, \lstinline\xA7(ELi)\xA7, \lstinline\xA7(EULi)\xA7, and \lstinline\xA7(EVLi)\xA7, respectively, where $\smash{i \in [ -1, 5 ]}$.
It is also possible to use multiple causets in more complicated graphics, like a tree for example, but note that whenever a causet is actually a text of a node within a TikZ picture (like in the following), we need to use the \lstinline\xA7\pcauset\xA7 (\lstinline\xA7\rcauset\xA7 or \lstinline\xA7\causet\xA7) commands without the \lstinline\xA7draw\xA7 prefix again:
\lstinputlisting{causet_tikz_example2.tex}
-\hspace{-1.5ex}\causetfile{causet_tikz_example2}
+\hspace{-1.5ex}
+\includegraphics{causet_tikz_example2}
\noindent
More examples can be found at \\
\url{https://github.com/c-minz/LaTeX-causets/tree/main/examples}
-%\clearpage
+\clearpage
+\tikzexternaldisable
\section{Release notes}
-\tikzcausetsset{large, events={black!20}, links={black!10}, cap links, label color={black!30}}
-\subsection{v1.3, 2022-05-23}
+\tikzcausetsset{large, events={black!30}, links={black!30}, label color={black!40}}
+
+\subsection[v1.4, 2023-03-06 (Vee-Diamond)]{v1.4, 2023-03-06}
+\subsubsection{New features}
\begin{itemize}\itemsep=-1ex
- \item \versioncauset{v1-3}{\pcauset[replaced labels={left=0.5ex, at=west}]{1,4,2,3/.3}}%
- The numbers for the arguments of the causet commands may now be chosen from an interval $[ a, b ]$, where $a$ and $b$ do no longer have to be natural numbers but are any integers ($a \leq b$) including 0 and negative numbers to name and label the events of the causet.
- \item The integers given in the arguments of the causet commands that name (and auto label) events may now be modified with \lstinline\xA7offset=\xA7\PH\ (0 by default) before the events are named and labeled with the given numbers.
- \item All sizes are now scaled with respect to the normal size and the line thickness of the event outline has been corrected.
- \item The following size macros are no longer supported: \\
- \lstinline\xA7\causetRegionLine\xA7, \lstinline\xA7\causetGridLine\xA7, \lstinline\xA7\causetEventSize\xA7, \lstinline\xA7\causetLinkWidth\xA7, and \\ \lstinline\xA7\causetBrokenLinkGap\xA7.
- The respective values are now stored in PGF keys and are measured with respect to the size unit (stored in \lstinline\xA7\causetTileSize\xA7).
- \item For all labels in the diagram, the font size is now adjustable with \lstinline\xA7text font=\xA7\PH\ (additionally to \lstinline\xA7text scale=\xA7\PH), for example to set the font size to 20pt (and a baseline skip of 24pt), use
-\begin{lstlisting}
-text font=\fontsize{20}{24}\selectfont
-\end{lstlisting}
- \item Event labels and the event nodes itself may now be replaced by user-defined text in order to label events manually or use symbols like \lstinline\xA7...\xA7 for representations of infinite causets.
- \item The package options have been fixed, they are now all single word options.
- \item The short hand macros \lstinline\xA7\*causetL...\xA7 now deactivate the permutation and \\ \lstinline\xA7\*causetP...\xA7 now deactivate labels (if activated previously).
+\item \versioncauset{v1-4}{\rcauset[release/.style={black!40!cyan!85}]{1,5/release,3,2,4}{1/5/release}}%
+ Second values in the sequence of the first argument: now modifies the style of individual events, the events are replaced with the key \lstinline\xA7event=\xA7\PH, and the labels are set with \lstinline\xA7label=\xA7\PH.
+\item Third values in the sequence of the second argument of \lstinline\xA7\causet\xA7 and \lstinline\xA7\rcauset\xA7: to modify the style of individual links.
+\item Broken links for restyled links of \lstinline\xA7\rcauset\xA7: restyled links can also be drawn between events that would have not been automatically linked, hence these links might now be broken up like the links of \lstinline\xA7\causet\xA7.
+\item New key \lstinline\xA7name=\xA7\PH: to define a name of a causet for easier readability of the tex source code (and to be used as external file name when the corresponding package option has been activated).
+\item New option \lstinline\xA7external\xA7: to load the \lstinline\xA7external\xA7 library of TikZ for automatic externalisation of all diagrams.
+\item New key \lstinline\xA7set prefix=\xA7\PH: to pass a file name prefix that is combined with a causet name for the external files when using \lstinline\xA7external\xA7.
+\item New key \lstinline\xA7name external=\xA7\PH[bool]: to activate/deactivate using the causet names for external files.
+\item Main commands: padded by a thin space (adjustable with \lstinline\xA7padding=\xA7\PH) for a better spacing in text and math mode.
\end{itemize}
+\subsubsection{Modifications and fixes}
+\begin{itemize}\itemsep=-1ex
+\item Third values in the sequence of the first argument: no longer supported.
+\item Spatial links: are now drawn before (so on a lower layer than) links.
+\item Style \lstinline\xA7arrow links\xA7: the arrow heads are now filled.
+\item Macro \lstinline\xA7\causetspath\xA7: has been replaced by \lstinline\xA7name prefix=\xA7\PH.
+\item Short-hand macro \lstinline\xA7\causetCrown\xA7: changed to take a single argument (and the optional style argument) and returns the same output as \lstinline\xA7\causetClosedFence\xA7 used to, which has been removed.
+\end{itemize}
-\subsection{v1.2, 2022-02-07}
+\subsection[v1.3.1, 2022-07-27 (Diamond)]{v1.3.1, 2022-07-27}
+\subsubsection{Modifications and fixes}
\begin{itemize}\itemsep=-1ex
- \item \versioncauset{v1-2}{\pcauset{1,3,2}}%
- The colour option \lstinline\xA7blue\xA7 has been modified so that a blue diagram is now only coloured in different shades of blue, gray and black.
- \item Every event label is now positioned relative to the centre point of an event, so that the position of event labels can be modified with \lstinline\xA7left=\xA7\PH, \lstinline\xA7right=\xA7\PH, etc.
- \item Arrow tips may now be added to the start and end of links via the style settings \lstinline\xA7link starts=\xA7\PH\ and \lstinline\xA7link ends=\xA7\PH, or via the pre-defined styles \lstinline\xA7cap links\xA7 and \lstinline\xA7arrow links\xA7.
- \item By default, links drawn by the command \lstinline\xA7\causet\xA7 are now broken if they cross over an event.
-The style of the start and end of the link interruption are set with \lstinline\xA7link pauses=\xA7\PH\ and \lstinline\xA7link resumes=\xA7\PH.
- \item Links between spacelike separated events are now also supported by the command \lstinline\xA7\rcauset\xA7.
+\item \versioncauset{v1-3-1}{\pcauset[replaced labels={left=0.5ex, at=west}]{1,3,2,4/label=.3}}%
+ Automatic event labels: now correctly printed when using \lstinline\xA7offset=\xA7\PH.
\end{itemize}
-\subsection{v1.1, 2020-12-15}
-\tikzcausetsset{link starts={}, link ends={}}
+\subsection[v1.3, 2022-05-23 (Da)]{v1.3, 2022-05-23}
+\subsubsection{New features}
\begin{itemize}\itemsep=-1ex
- \item \versioncauset{v1-1}{\pcauset{1,2}}%
- All colours, size and style options have been moved to PGF keys in the path
+\item %\versioncauset{v1-3}{\pcauset[replaced labels={left=0.5ex, at=west}]{1,4,2,3/label=.3}}%
+ Integer sequences in the arguments: use a permutation of an interval $[ a, b ]$, where $a$ and $b$ do no longer have to be natural numbers but can be any integers ($a \leq b$) including 0 and negative numbers.
+ These numbers name and label the events of the causet if the respective options are chosen.
+\item Second values in the sequence of the first argument: to change the name and label of events.
+\item New key \lstinline\xA7offset=\xA7\PH\ (0 by default): to define an integer shift for all events before they are named and labeled.
+\item New style \lstinline\xA7text font=\xA7\PH\ (additionally to \lstinline\xA7text scale=\xA7\PH): to adjust the font style of text (labels), for example, to set the font size to 20pt (and a baseline skip of 24pt), use \lstinline\xA7text font=\fontsize{20}{24}\selectfont\xA7
+\end{itemize}
+
+\subsubsection{Modifications and fixes}
+\begin{itemize}\itemsep=-1ex
+\item Size options: all sizes are now scaled with respect to the normal size.
+\item Event style: line thickness of the event outline has been corrected.
+\item Size macros removed: \lstinline\xA7\causetRegionLine\xA7, \lstinline\xA7\causetGridLine\xA7, \lstinline\xA7\causetEventSize\xA7, \\ \lstinline\xA7\causetLinkWidth\xA7, and \lstinline\xA7\causetBrokenLinkGap\xA7.
+ The respective values are now stored in PGF keys and are measured with respect to the size unit (stored in \lstinline\xA7\causetTileSize\xA7).
+\item All package options: reduced to single words.
+\item Permutation for \lstinline\xA7\*causetL...\xA7: now deactivated (if activated previously), by default.
+\item Labels for \lstinline\xA7\*causetP...\xA7: now deactivated (if activated previously), by default.
+\end{itemize}
+
+\subsection[v1.2, 2022-02-07 (Vee)]{v1.2, 2022-02-07}
+\subsubsection{New features}
+\begin{itemize}\itemsep=-1ex
+\item \versioncauset{v1-2}{\pcauset[arrow links]{1,3,2}}%
+ New style \lstinline\xA7at=\xA7\PH: to specify the relative point of events (\lstinline\xA7at=center\xA7\PH, by default) and position relative to this point using TikZ keys \lstinline\xA7left=\xA7\PH, \lstinline\xA7right=\xA7\PH, etc.
+\item New styles \lstinline\xA7cap links\xA7 and \lstinline\xA7arrow links\xA7: add different arrow tips to the start and end of links.
+\item New styles \lstinline\xA7link starts=\xA7\PH\ and \lstinline\xA7link ends=\xA7\PH: to modify arrow tips to the start and end of links.
+\item Broken links for \lstinline\xA7\causet\xA7: links crossing over unlinked events are broken up now.
+\item New styles \lstinline\xA7link pauses=\xA7\PH\ and \lstinline\xA7link resumes=\xA7\PH: to set the link ending style (arrows) at breaking points.
+\item Spatial links for \lstinline\xA7\rcauset\xA7: spatial links for spacelike separated events are now supported by \lstinline\xA7\rcauset\xA7, too.
+\end{itemize}
+
+\subsubsection{Modifications and fixes}
+\begin{itemize}\itemsep=-1ex
+\item Colour option \lstinline\xA7blue\xA7: blue colours are now different shades of blue, gray and black only.
+\end{itemize}
+
+\subsection[v1.1, 2020-12-15 (2-Chain)]{v1.1, 2020-12-15}
+\subsubsection{New features}
+\begin{itemize}\itemsep=-1ex
+\item \versioncauset{v1-1}{\pcauset{1,2}}%
+ All colours, size and style options have been moved to PGF keys in the path
\begin{lstlisting}
/tikz/causets/
\end{lstlisting}
\end{itemize}
-\subsection{v1.0, 2020-11-08}
+\subsection[v1.0, 2020-11-08 (Singleton)]{v1.0, 2020-11-08}
\begin{itemize}\itemsep=-1ex
- \item \versioncauset{v1-0}{\pcauset{1}}%
- First release of the package \lstinline\xA7causets\xA7 on CTAN, \url{https://ctan.org/pkg/causets}, including all the main commands.
+\item \versioncauset{v1-0}{\pcauset{1}}%
+ First release of the package \lstinline\xA7causets\xA7 on CTAN, \url{https://ctan.org/pkg/causets}, including all the main commands.
\end{itemize}
\noindent
-Older versions of the package are at \\
+All previous versions of the package can be downloaded at \\
\url{https://github.com/c-minz/LaTeX-causets/tree/main/previous_versions}
\section{Bug reports and package requests}
@@ -936,22 +1040,9 @@
christoph(dot)minz(AT)gmail(dot)com\\
For reporting a bug, I much appreciated if you do the following:
\begin{itemize}\itemsep=-1ex
- \item Check the issues reported previously if your problem is already listed.
- \item Describe your problem including the errors and warning messages, information about the drivers and programs versions.
- \item Provide a minimal, working test file (only a single \TeX\ file) that demonstrates the problem.
+\item Check the issues reported previously if your problem is already listed.
+\item Describe your problem including the errors and warning messages, information about the drivers and programs versions.
+\item Provide a minimal, working test file (only a single \TeX\ file) that demonstrates the problem.
\end{itemize}
\end{document}
-
-%% Size testing:
-\documentclass[tikz,10pt]{standalone}
-\usepackage[blue]{causets}
-\begin{document}
-\pcauset[tiny]{1,3,2,4}
-\pcauset[very small]{1,3,2,4}
-\pcauset[small]{1,3,2,4}
-\pcauset{1,3,2,4}
-\pcauset[large]{1,3,2,4}
-\pcauset[very large]{1,3,2,4}
-\pcauset[huge]{1,3,2,4}
-\end{document}
Modified: trunk/Master/texmf-dist/tex/latex/causets/causets.sty
===================================================================
--- trunk/Master/texmf-dist/tex/latex/causets/causets.sty 2023-03-05 20:39:03 UTC (rev 66358)
+++ trunk/Master/texmf-dist/tex/latex/causets/causets.sty 2023-03-05 20:39:16 UTC (rev 66359)
@@ -1,6 +1,6 @@
\NeedsTeXFormat{LaTeX2e}
-\ProvidesPackage{causets}[2022/05/23 v1.3 Package to draw causal set diagrams]
-%% Copyright 2020-2022 by C. Minz
+\ProvidesPackage{causets}[2023/03/06 v1.4 Package to draw causal set diagrams]
+%% Copyright 2020-2023 by C. Minz
%
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
@@ -10,7 +10,7 @@
%
% This work has the LPPL maintenance status "maintained".
%
-% The current version of this package is 1.3.
+% The current version of this package is 1.4.
%
% The current maintainer of this work is C. Minz.
% https://github.com/c-minz
@@ -131,9 +131,12 @@
}
% Causet modification options:
\tikzcausetsset{%
+ padding/.store in=\causets at Padding,
offset/.store in=\causet at Offset,
every causet/.value forbidden,
- every causet/.style={baseline=(baseline point)}
+ every causet/.style={baseline=(baseline point)},
+ local style/.style={#1},
+ set local style/.style={local style/.expand once={#1}}
}
% Graphic component switches:
\newif\ifcausetsDrawPermutation
@@ -182,7 +185,6 @@
every label base/.value forbidden,
every label base/.style={text opacity=1, scale=\causetTextScale, font=\causetTextFont, inner sep=0pt},
all labels/.style={every label base/.append style={#1}},
- at/.initial=center,
every label/.value forbidden,
every label/.style={every label base, color=\pgfkeysvalueof{/tikz/causets/label color}, below left, at=south west},
labels/.style={show labels, every label/.append style={#1}},
@@ -194,7 +196,10 @@
vlabels/.style={show vlabels, every vlabel/.append style={#1}},
every replaced label/.value forbidden,
every replaced label/.style={every label},
- replaced labels/.style={every replaced label/.append style={#1}}
+ replaced labels/.style={every replaced label/.append style={#1}},
+ at/.initial=center,
+ label/.store in=\causet at EventLabel,
+ label/.value required
}
% Event styles:
\tikzcausetsset{%
@@ -205,7 +210,9 @@
every replaced event/.value forbidden,
every replaced event/.style={every label base, circle, minimum size=\pgfkeysvalueof{/tikz/causets/event size}},
replaced events/.value required,
- replaced events/.style={every replaced event/.append style={#1}}
+ replaced events/.style={every replaced event/.append style={#1}},
+ event/.store in=\causet at EventText,
+ event/.value required
}
% Link styles:
\tikzcausetsset{%
@@ -227,18 +234,28 @@
cap links/.value forbidden,
cap links/.style={link starts={Triangle Cap[reversed]}, link ends={Triangle Cap[]}},
arrow links/.value forbidden,
- arrow links/.style={link ends={Stealth[round, open, length=4*\pgfkeysvalueof{/tikz/causets/link width}, line width=\pgfkeysvalueof{/tikz/causets/link width}/3]}},
+ arrow links/.style={link ends={Stealth[round, length=4*\pgfkeysvalueof{/tikz/causets/link width}, line width=\pgfkeysvalueof{/tikz/causets/link width}/3]}},
every spatial link/.value forbidden,
every spatial link/.style={every link, color=\pgfkeysvalueof{/tikz/causets/spatial link color}, dashed},
spatial links/.style={show spatial links, every spatial link/.append style={#1}}
}
+% Causet externalisation:
+\newif\ifcausets at External
+\newif\ifcausetsNameExternal
+\tikzcausetsset{%
+ name/.store in=\causet at Name,
+ name prefix/.store in=\causets at NamePrefix,
+ set prefix/.style={name prefix=#1, /tikz/external/prefix=#1},
+ name external/.is if=causetsNameExternal
+}
%% Package options:
-\tikzcausetsset{normal, offset=0}
+\tikzcausetsset{normal, offset=0, padding=\thinspace, name prefix={./}}
\causetsDrawLinkstrue
\causetsBreakLinkstrue
\causetsDrawULabelstrue
\causetsDrawVLabelstrue
+\causets at Externalfalse
\DeclareOption{tiny}{\tikzcausetsset{tiny}}
\DeclareOption{smaller}{\tikzcausetsset{very small}}
\DeclareOption{small}{\tikzcausetsset{small}}
@@ -262,15 +279,34 @@
\DeclareOption{uunlabeled}{\causetsDrawULabelsfalse}
\DeclareOption{vlabeled}{\causetsDrawVLabelstrue}
\DeclareOption{vunlabeled}{\causetsDrawVLabelsfalse}
+\DeclareOption{external}{\causets at Externaltrue}
\DeclareOption*{\PackageWarning{causets}{The package causets does not support the option: \CurrentOption}}
-\ProcessOptions\relax
+\ProcessOptions*
+\ifcausets at External
+ \usetikzlibrary{external}%
+ \tikzcausetsset{name prefix=causets/, name external=true}%
+ \tikzexternalize[prefix=causets/]
+\fi
%% Package functions:
\newif\ifcauset at ItemFoundInList
+\newcommand*{\causets at setCausetName}[1]{%
+{%
+\def\causet at Name{}%
+\tikzcausetsset{#1}%
+\ifx\causet at Name\empty%
+ \relax%
+\else%
+ \expandafter\tikzsetnextfilename\expandafter{\causet at Name}%
+\fi%
+}%
+}
+
\newcommand*{\causets at prepareCauset}[1]{%
-% Count the number of events (\causet at N), find the minimal value in the list argument (\causet at Start), and define baseline point.
-\foreach \causet at E@i/\causet at Label/\causet at Text [count=\causet at i] in {#1}{%
+% Count the number of events (\causet at N), find the minimal value in the list
+% argument (\causet at Start), and define baseline point.
+\foreach \causet at E@i/\causet at LocalStyle [count=\causet at i] in {#1}{%
\ifnum\causet at i=1
\pgfmathparse{int(\causet at E@i)}
\else
@@ -284,29 +320,35 @@
}
\newcommand*{\causets at drawEvent}[2][every event]{%
-% Draws the event node for \causet at E@i. By default the event style (optional argument #1) is that of every event. The text of the node is #2.
+% Draws an event tile and the event on top.
+\pgfmathsetmacro\causet at E@i{int(\causet at E@i + \causet at Offset)}
+\pgfmathsetmacro\causet at u{\causet at E@i - \causet at Start}
+\pgfmathsetmacro\causet at v{\causet at i - 1.0}
+\ifcausetsDrawPermutation
+ \path[causets/.cd, every tile]
+ ( \causet at u * \causetTileSize, \causet at v * \causetTileSize )
+ rectangle +( \causetTileSize, \causetTileSize );
+\fi
\pgfmathsetmacro\causet at u{\causet at E@i - \causet at Start + 0.5}
\pgfmathsetmacro\causet at v{\causet at i - 0.5}
\node[causets/.cd, #1] (E\causet at E@i)
- at ( \causet at u * \causetTileSize, \causet at v * \causetTileSize )
- {#2};
+ at ( \causet at u * \causetTileSize, \causet at v * \causetTileSize ) {#2};
}
\newcommand*{\causets at drawEvents}[1]{%
-% Draws a permutation tile and defines and draws an event node (E#) on top of the tile, for each event number # in the list argument.
-\foreach \causet at E@i/\causet at Label/\causet at Text [count=\causet at i] in {#1}{%
- \pgfmathsetmacro\causet at E@i{int(\causet at E@i + \causet at Offset)}
- \pgfmathsetmacro\causet at u{\causet at E@i - \causet at Start}
- \pgfmathsetmacro\causet at v{\causet at i - 1.0}
- \ifcausetsDrawPermutation
- \path[causets/.cd, every tile]
- ( \causet at u * \causetTileSize, \causet at v * \causetTileSize )
- rectangle +( \causetTileSize, \causetTileSize );
- \fi
- \ifx\causet at Text\causet at Label
+% Draws a permutation tile and defines and draws an event node (E#) on top of
+% the tile, for each event number # in the list argument.
+\foreach \causet at E@i/\causet at LocalStyle [count=\causet at i] in {#1}{%
+ \ifx\causet at E@i\causet at LocalStyle
\causets at drawEvent{}
\else
- \causets at drawEvent[every replaced event]{\causet at Text}
+ \def\causet at EventText{}
+ \tikzcausetsset{set local style=\causet at LocalStyle}
+ \ifx\causet at EventText\empty
+ \causets at drawEvent[every event, set local style=\causet at LocalStyle]{}
+ \else
+ \causets at drawEvent[every replaced event, set local style=\causet at LocalStyle]{\causet at EventText}
+ \fi
\fi
}
}
@@ -318,7 +360,7 @@
grid ( \causet at N * \causetTileSize, \causet at N * \causetTileSize );
\draw[causets/.cd, every region] ( 0, 0 )
rectangle ( \causet at N * \causetTileSize, \causet at N * \causetTileSize );
- \foreach \causet at E@i/\causet at Label/\causet at Text [count=\causet at i] in {#1}{%
+ \foreach \causet at E@i/\causet at LocalStyle [count=\causet at i] in {#1}{%
\pgfmathsetmacro\causet at E@i{int(\causet at E@i + \causet at Offset)}
\ifcausetsDrawULabels
\pgfmathsetmacro\causet at u{int(\causet at i + \causet at Start - 1)}
@@ -336,19 +378,21 @@
}
\newcommand*{\causets at drawSpatialLinks}[1]{%
-% Draws the spatial links between the events (only for \drawpcauset and \drawrcauset).
+% Draws the spatial links between the events (only for \drawpcauset and
+% \drawrcauset).
\ifcausetsDrawSpatialLinks
- \foreach \causet at E@i/\causet at Label/\causet at Text [count=\causet at i] in {#1}{%
+ \foreach \causet at E@i/\causet at LocalStyle [count=\causet at i] in {#1}{%
\pgfmathsetmacro\causet at E@i{int(\causet at E@i + \causet at Offset)}
% \causet at Bound stores the lower bound to find spatially linked events.
\edef\causet at Bound{\causet at Offset}
- \foreach \causet at E@j/\causet at Label/\causet at Text [count=\causet at j] in {#1}{%
+ \foreach \causet at E@j/\causet at LocalStyle [count=\causet at j] in {#1}{%
\ifnum\causet at j>\causet at i
\pgfmathsetmacro\causet at E@j{int(\causet at E@j + \causet at Offset)}
\ifnum\causet at E@j>\causet at Bound
\ifnum\causet at E@i>\causet at E@j
% Add spatial link and remember new lower bound:
- \draw[causets/.cd, every spatial link] (E\causet at E@j) -- (E\causet at E@i);
+ \draw[causets/.cd, every spatial link]
+ (E\causet at E@j) -- (E\causet at E@i);
\xdef\causet at Bound{\causet at E@j}
\fi
\fi
@@ -358,30 +402,118 @@
\fi
}
-\newcommand*{\causets at drawEventLabel}[1][every label]{%
-% Draws the event label for \causet at E@i (shifted by \causet at Offset). By default the label style is assumed that of a standard event label.
+\newcommand*{\causets at drawEventLabel}[2][every label]{%
+% Draws an event label.
\pgfmathsetmacro\causet at E@i{int(\causet at E@i + \causet at Offset)}
\node[causets/.cd, #1] (EL\causet at E@i)
- at (E\causet at E@i.\pgfkeysvalueof{/tikz/causets/at}) {\causet at Label};
+ at (E\causet at E@i.\pgfkeysvalueof{/tikz/causets/at}) {#2};
}
\newcommand*{\causets at drawEventLabels}[1]{%
% Adds event labels to the events.
-\foreach \causet at E@i/\causet at Label/\causet at Text in {#1}{%
- \ifx\causet at E@i\causet at Label
+\foreach \causet at E@i/\causet at LocalStyle in {#1}{%
+ \ifx\causet at E@i\causet at LocalStyle
\ifcausetsDrawLabels
- \causets at drawEventLabel
+ \causets at drawEventLabel{\causet at E@i}
\fi
\else
- \ifx\causet at Label\empty
- \relax% Skip empty labels
+ \def\causet at EventLabel{}
+ \tikzcausetsset{set local style=\causet at LocalStyle}
+ \ifx\causet at EventLabel\empty
+ \ifcausetsDrawLabels
+ \causets at drawEventLabel{\causet at E@i}
+ \fi
\else
- \causets at drawEventLabel[every replaced label]
+ \causets at drawEventLabel[every replaced label]{\causet at EventLabel}
\fi
\fi
}
}
+\newcommand*{\causets at drawContinuousLinks}[2][]{%
+% Draws the links in full even if they cross over events.
+\foreach \causet at From/\causet at To/\causet at LocalLinkStyle in {#2}{%
+ \ifx\causet at To\causet at LocalLinkStyle
+ \gdef\causet at LocalLinkStyle{#1}
+ \fi
+ \pgfmathsetmacro\causet at From{int(\causet at From + \causet at Offset)}
+ \pgfmathsetmacro\causet at To{int(\causet at To + \causet at Offset)}
+ \draw[causets/.cd, every link, set local style=\causet at LocalLinkStyle]
+ (E\causet at From) -- (E\causet at To);
+}
+}
+
+\newcommand*{\causets at drawBrokenLinks}[3][]{%
+% Tests every link if it crosses over an unlinked event and breaks the link.
+\foreach \causet at From/\causet at To/\causet at LocalLinkStyle in {#3}{%
+ \ifx\causet at To\causet at LocalLinkStyle
+ \gdef\causet at LocalLinkStyle{#1}
+ \fi
+ % In this function, \causet at u and \causet at v store the link distance in
+ % the u- and in the v-direction, respectively. Since these are coordinate
+ % differences, they are computed without adding the offset.
+ \pgfmathsetmacro\causet at u{int(\causet at To) - int(\causet at From)}
+ \foreach \causet at E@i/\causet at LocalStyle [count=\causet at i] in {#2}{%
+ \ifnum\causet at E@i=\causet at From
+ \xdef\causet at v{\causet at i}
+ \fi
+ \ifnum\causet at E@i=\causet at To
+ \pgfmathparse{int(\causet at i - \causet at v)}
+ \xdef\causet at v{\pgfmathresult}
+ \breakforeach
+ \fi
+ }
+ % Now add offset to events:
+ \pgfmathsetmacro\causet at From{int(\causet at From + \causet at Offset)}
+ \pgfmathsetmacro\causet at To{int(\causet at To + \causet at Offset)}
+ % In this function, \causet at E@j stores the last breaking point and
+ % \causet at j the index of \causet at From.
+ \pgfmathsetmacro\causet at E@j{int(\causet at From - 1)}
+ \edef\causet at j{0}
+ \foreach \causet at E@i/\causet at LocalStyle [count=\causet at i] in {#2}{%
+ \pgfmathsetmacro\causet at E@i{int(\causet at E@i + \causet at Offset)}
+ \ifnum\causet at E@i=\causet at To
+ \edef\causet at j{0}
+ \breakforeach
+ \fi
+ \ifnum\causet at j>0
+ % If the u-/v-coordinate ratio is the same, the event \causet at E@i falls
+ % along the link and the link needs to break. The ratios are compared
+ % via cross-multiplication, which is faster and does not cause
+ % rounding errors:
+ \pgfmathequal{int((\causet at E@i - \causet at From) * \causet at v)}{int(\causet at u * (\causet at i - \causet at j)))}
+ \ifnum\pgfmathresult=1
+ \ifnum\causet at E@j<\causet at From
+ % Link is crossing over another event, so draw the link up to the
+ % (first) breaking point:
+ \draw[causets/.cd, every link, {Link Start}-{Link Pause}, shorten >=\pgfkeysvalueof{/tikz/causets/broken link gap}, set local style=\causet at LocalLinkStyle]
+ (E\causet at From) -- (E\causet at E@i);
+ \else
+ % Link is crossing over yet another event, so continue from last
+ % breaking point to next breaking point:
+ \draw[causets/.cd, every link, {Link Resume}-{Link Pause}, shorten <=\pgfkeysvalueof{/tikz/causets/broken link gap}, shorten >=\pgfkeysvalueof{/tikz/causets/broken link gap}, set local style=\causet at LocalLinkStyle]
+ (E\causet at E@j) -- (E\causet at E@i);
+ \fi
+ \xdef\causet at E@j{\causet at E@i}
+ \fi
+ \fi
+ \ifnum\causet at E@i=\causet at From
+ \xdef\causet at j{\causet at i}
+ \fi
+ }
+ \ifnum\causet at E@j>\causet at From
+ % Link did cross over another event, so finish the link from last
+ % breaking point to final event:
+ \draw[causets/.cd, every link, {Link Resume}-{Link End}, shorten <=\pgfkeysvalueof{/tikz/causets/broken link gap}, set local style=\causet at LocalLinkStyle]
+ (E\causet at E@j) -- (E\causet at To);
+ \else
+ % Link does not cross over another event, so just draw it:
+ \draw[causets/.cd, every link, set local style=\causet at LocalLinkStyle]
+ (E\causet at From) -- (E\causet at To);
+ \fi
+}
+}
+
\newcommand*{\drawpcauset}[1]{%
% Draws a causet from a permutation.
\causets at prepareCauset{#1}
@@ -390,18 +522,20 @@
yshift=-\causet at N * \causetTileSize / 2]
\causets at drawEvents{#1}
\causets at drawPermutation{#1}
+ \causets at drawSpatialLinks{#1}
\ifcausetsDrawLinks
- \foreach \causet at E@i/\causet at Label/\causet at Text [count=\causet at i] in {#1}{%
+ \foreach \causet at E@i/\causet at LocalStyle [count=\causet at i] in {#1}{%
\pgfmathsetmacro\causet at E@i{int(\causet at E@i + \causet at Offset)}
% \causet at Bound stores the upper bound to find linked events.
\pgfmathsetmacro\causet at Bound{int(\causet at N + \causet at Start)}
- \foreach \causet at E@j/\causet at Label/\causet at Text [count=\causet at j] in {#1}{%
+ \foreach \causet at E@j/\causet at LocalStyle [count=\causet at j] in {#1}{%
\ifnum\causet at j>\causet at i
\pgfmathsetmacro\causet at E@j{int(\causet at E@j + \causet at Offset)}
\ifnum\causet at E@j<\causet at Bound
\ifnum\causet at E@i<\causet at E@j
% Add link and remember new upper bound:
- \draw[causets/.cd, every link] (E\causet at E@i) -- (E\causet at E@j);
+ \draw[causets/.cd, every link]
+ (E\causet at E@i) -- (E\causet at E@j);
\xdef\causet at Bound{\causet at E@j}
\fi
\fi
@@ -409,7 +543,6 @@
}
}
\fi
- \causets at drawSpatialLinks{#1}
\causets at drawEventLabels{#1}
\end{scope}
\end{scope}
@@ -425,69 +558,9 @@
\causets at drawPermutation{#1}
\ifcausetsDrawLinks
\ifcausetsBreakLinks
- % Broken links are allowed, so test every link if it crosses over an unlinked event:
- \foreach \causet at From/\causet at To in {#2}{%
- % In this function, \causet at u and \causet at v store the link distance in the u- and in the v-direction, respectively. Since these are coordinate differences, they are computed without adding the offset.
- \pgfmathsetmacro\causet at u{int(\causet at To) - int(\causet at From)}
- \foreach \causet at E@i/\causet at Label/\causet at Text [count=\causet at i] in {#1}{%
- \ifnum\causet at E@i=\causet at From
- \xdef\causet at v{\causet at i}
- \fi
- \ifnum\causet at E@i=\causet at To
- \pgfmathparse{int(\causet at i - \causet at v)}
- \xdef\causet at v{\pgfmathresult}
- \breakforeach
- \fi
- }
- % Now add offset to events:
- \pgfmathsetmacro\causet at From{int(\causet at From + \causet at Offset)}
- \pgfmathsetmacro\causet at To{int(\causet at To + \causet at Offset)}
- % In this function, \causet at E@j stores the last breaking point and \causet at j the index of \causet at From.
- \pgfmathsetmacro\causet at E@j{int(\causet at From - 1)}
- \edef\causet at j{0}
- \foreach \causet at E@i/\causet at Label/\causet at Text [count=\causet at i] in {#1}{%
- \pgfmathsetmacro\causet at E@i{int(\causet at E@i + \causet at Offset)}
- \ifnum\causet at E@i=\causet at To
- \edef\causet at j{0}
- \breakforeach
- \fi
- \ifnum\causet at j>0
- % If the u-/v-coordinate ratio is the same, the event \causet at E@i falls along the link and the link needs to break. The ratios are compared via cross-multiplication, which is faster and does not cause rounding errors:
- \pgfmathequal{int((\causet at E@i - \causet at From) * \causet at v)}{int(\causet at u * (\causet at i - \causet at j)))}
- \ifnum\pgfmathresult=1
- \ifnum\causet at E@j<\causet at From
- % Link is crossing over another event, so draw the link up to the (first) breaking point:
- \draw[causets/.cd, every link, {Link Start}-{Link Pause}, shorten >=\pgfkeysvalueof{/tikz/causets/broken link gap}]
- (E\causet at From) -- (E\causet at E@i);
- \else
- % Link is crossing over yet another event, so continue from last breaking point to next breaking point:
- \draw[causets/.cd, every link, {Link Resume}-{Link Pause}, shorten <=\pgfkeysvalueof{/tikz/causets/broken link gap}, shorten >=\pgfkeysvalueof{/tikz/causets/broken link gap}]
- (E\causet at E@j) -- (E\causet at E@i);
- \fi
- \xdef\causet at E@j{\causet at E@i}
- \fi
- \fi
- \ifnum\causet at E@i=\causet at From
- \xdef\causet at j{\causet at i}
- \fi
- }
- \ifnum\causet at E@j>\causet at From
- % Link did cross over another event, so finish the link from last breaking point to final event:
- \draw[causets/.cd, every link, {Link Resume}-{Link End}, shorten <=\pgfkeysvalueof{/tikz/causets/broken link gap}]
- (E\causet at E@j) -- (E\causet at To);
- \else
- % Link does not cross over another event, so just draw it:
- \draw[causets/.cd, every link]
- (E\causet at From) -- (E\causet at To);
- \fi
- }
+ \causets at drawBrokenLinks{#1}{#2}
\else
- % Broken links are not allowed, so just draw the links:
- \foreach \causet at From/\causet at To in {#2}{%
- \pgfmathsetmacro\causet at From{int(\causet at From + \causet at Offset)}
- \pgfmathsetmacro\causet at To{int(\causet at To + \causet at Offset)}
- \draw[causets/.cd, every link] (E\causet at From) -- (E\causet at To);
- }
+ \causets at drawContinuousLinks{#2}
\fi
\fi
\causets at drawEventLabels{#1}
@@ -496,7 +569,8 @@
}
\newcommand*{\drawrcauset}[2]{%
-% Draws a causet from a permutation and ignoring links given in the second list argument (of link-pairs).
+% Draws a causet from a permutation and ignoring links given in the second
+% list argument (of link-pairs).
\causets at prepareCauset{#1}
\begin{scope}[rotate=45]
\begin{scope}[xshift=-\causet at N * \causetTileSize / 2,
@@ -503,12 +577,24 @@
yshift=-\causet at N * \causetTileSize / 2]
\causets at drawEvents{#1}
\causets at drawPermutation{#1}
+ \causets at drawSpatialLinks{#1}
+ % Add omitted links as spatial links:
+ \ifcausetsDrawSpatialLinks
+ \foreach \causet at From/\causet at To/\causet at LocalLinkStyle in {#2}{%
+ \ifx\causet at To\causet at LocalLinkStyle
+ \pgfmathsetmacro\causet at From{int(\causet at From + \causet at Offset)}
+ \pgfmathsetmacro\causet at To{int(\causet at To + \causet at Offset)}
+ \draw[causets/.cd, every spatial link]
+ (E\causet at From) -- (E\causet at To);
+ \fi
+ }
+ \fi
\ifcausetsDrawLinks
- \foreach \causet at E@i/\causet at Label/\causet at Text [count=\causet at i] in {#1}{%
+ \foreach \causet at E@i/\causet at LocalStyle [count=\causet at i] in {#1}{%
\pgfmathsetmacro\causet at E@i{int(\causet at E@i + \causet at Offset)}
% \causet at Bound stores the upper bound to find linked events.
\pgfmathsetmacro\causet at Bound{int(\causet at N + \causet at Start)}
- \foreach \causet at E@j/\causet at Label/\causet at Text [count=\causet at j] in {#1}{%
+ \foreach \causet at E@j/\causet at LocalStyle [count=\causet at j] in {#1}{%
\ifnum\causet at j>\causet at i
\pgfmathsetmacro\causet at E@j{int(\causet at E@j + \causet at Offset)}
\ifnum\causet at E@j<\causet at Bound
@@ -515,7 +601,7 @@
\ifnum\causet at E@i<\causet at E@j
% Check second list argument if the link has to be ignored:
\global\causet at ItemFoundInListfalse
- \foreach \causet at From/\causet at To in {#2}{%
+ \foreach \causet at From/\causet at To/\causet at LocalLinkStyle in {#2}{%
\pgfmathparse{and(int(\causet at From + \causet at Offset) == int(\causet at E@i), int(\causet at To + \causet at Offset) == int(\causet at E@j))}
\ifnum\pgfmathresult=1
\global\causet at ItemFoundInListtrue
@@ -525,7 +611,8 @@
\relax% Skip link as it is included in the second argument.
\else
% Draw link as it is not included in the second argument:
- \draw[causets/.cd, every link] (E\causet at E@i) -- (E\causet at E@j);
+ \draw[causets/.cd, every link]
+ (E\causet at E@i) -- (E\causet at E@j);
\fi
% Remember new upper bound:
\xdef\causet at Bound{\causet at E@j}
@@ -534,16 +621,12 @@
\fi
}
}
+ \ifcausetsBreakLinks
+ \causets at drawBrokenLinks[draw=none]{#1}{#2}
+ \else
+ \causets at drawContinuousLinks[draw=none]{#2}
+ \fi
\fi
- \causets at drawSpatialLinks{#1}
- % Add omitted links as spatial links:
- \ifcausetsDrawSpatialLinks
- \foreach \causet at From/\causet at To in {#2}{%
- \pgfmathsetmacro\causet at From{int(\causet at From + \causet at Offset)}
- \pgfmathsetmacro\causet at To{int(\causet at To + \causet at Offset)}
- \draw[causets/.cd, every spatial link] (E\causet at From) -- (E\causet at To);
- }
- \fi
\causets at drawEventLabels{#1}
\end{scope}
\end{scope}
@@ -551,21 +634,48 @@
\newcommand*{\pcauset}[2][]{%
% Inserts a TikZ picture with a causet, created from a permutation.
-\begin{tikzpicture}[causets/.cd, every causet, #1]\drawpcauset{#2}\end{tikzpicture}}
+\causets at Padding%
+\ifcausetsNameExternal%
+ \causets at setCausetName{#1}%
+\fi%
+\begin{tikzpicture}[causets/.cd, every causet, #1]%
+\drawpcauset{#2}%
+\end{tikzpicture}%
+\causets at Padding%
+}
\newcommand*{\causet}[3][]{%
-% Inserts a TikZ picture with a causet, created from a permutation and a link-pair list.
-\begin{tikzpicture}[causets/.cd, every causet, #1]\drawcauset{#2}{#3}\end{tikzpicture}}
+% Inserts a TikZ picture with a causet, created from a permutation and a
+% link-pair list.
+\causets at Padding%
+\ifcausetsNameExternal%
+ \causets at setCausetName{#1}%
+\fi%
+\begin{tikzpicture}[causets/.cd, every causet, #1]%
+\drawcauset{#2}{#3}%
+\end{tikzpicture}%
+\causets at Padding%
+}
\newcommand*{\rcauset}[3][]{%
-% Inserts a TikZ picture with a causet, created from a permutation and a link-pair list of links to remove.
-\begin{tikzpicture}[causets/.cd, every causet, #1]\drawrcauset{#2}{#3}\end{tikzpicture}}
+% Inserts a TikZ picture with a causet, created from a permutation and a
+% link-pair list of links to remove.
+\causets at Padding%
+\ifcausetsNameExternal%
+ \causets at setCausetName{#1}%
+\fi%
+\begin{tikzpicture}[causets/.cd, every causet, #1]%
+\drawrcauset{#2}{#3}%
+\end{tikzpicture}%
+\causets at Padding%
+}
-%% Short-hand and pre-computed causet functions:
-\providecommand{\causetspath}{.}
-
+%% Short-hand functions and external causets:
\newcommand*{\causetfile}[2][]{%
-\includegraphics[#1]{\causetspath/#2}}
+\causets at Padding%
+\includegraphics[#1]{\causets at NamePrefix#2}%
+\causets at Padding%
+}
\newcommand*{\pcausetP}[2][]{%
{\causetsDrawPermutationtrue\causetsDrawLabelsfalse\pcauset[#1]{#2}}}
@@ -619,7 +729,7 @@
\fi%
}
-\newcommand*{\causetClosedFence}[2][]{%
+\newcommand*{\causetCrown}[2][]{%
\ifcase#2%
\or%=1
\pcauset[#1]{1,2}%
@@ -643,7 +753,3 @@
\rcauset[#1]{18,16,20,14,19,12,17,10,15,8,13,6,11,4,9,2,7,1,5,3}{2/5,4/7,6/9,8/11,10/13,12/15,14/17,16/19}%
\fi%
}
-
-\newcommand*{\causetCrown}[1][]{%
-\causetClosedFence[#1]{3}%
-}
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