diff options
Diffstat (limited to 'Master/texmf-dist/tex/latex')
-rw-r--r-- | Master/texmf-dist/tex/latex/causets/causets.sty | 507 |
1 files changed, 279 insertions, 228 deletions
diff --git a/Master/texmf-dist/tex/latex/causets/causets.sty b/Master/texmf-dist/tex/latex/causets/causets.sty index 1606afe7da0..291537cb9e6 100644 --- a/Master/texmf-dist/tex/latex/causets/causets.sty +++ b/Master/texmf-dist/tex/latex/causets/causets.sty @@ -1,16 +1,16 @@ \NeedsTeXFormat{LaTeX2e} -\ProvidesPackage{causets}[2022/02/07 v1.2 Package to draw causal set diagrams] +\ProvidesPackage{causets}[2022/05/23 v1.3 Package to draw causal set diagrams] %% Copyright 2020-2022 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 license or (at your option) any later version. -% The latest version of this license is in +% of this licence or (at your option) any later version. +% The latest version of this licence is in % http://www.latex-project.org/lppl.txt % % This work has the LPPL maintenance status "maintained". % -% The current version of this package is 1.2. +% The current version of this package is 1.3. % % The current maintainer of this work is C. Minz. % https://github.com/c-minz @@ -22,72 +22,62 @@ \RequirePackage{tikz} \usepgflibrary{arrows.meta} -%% PGF keys: +%% PGF keys and style macros: \def\tikzcausetsset#1{\pgfqkeys{/tikz/causets}{#1}} \pgfkeys{/tikz/causets/.search also={/tikz}} -% size options: +% Size options: \tikzcausetsset{% + size unit/.store in=\causetTileSize, + size unit/.value required, tile size/.store in=\causetTileSize, tile size/.value required, - region line width/.store in=\causetRegionLine, - region line width/.value required, - grid line width/.store in=\causetGridLine, - grid line width/.value required, - event size/.store in=\causetEventSize, - event size/.value required, - link width/.store in=\causetLinkWidth, - link width/.value required, - broken link gap/.store in=\causetBrokenLinkGap, - broken link gap/.value required, + text font/.store in=\causetTextFont, + text font/.value required, text scale/.store in=\causetTextScale, text scale/.value required, + region line width/.initial=0.07*\causetTileSize, + grid line width/.initial=0.04*\causetTileSize, + event size/.initial=0.56*\causetTileSize, + event outline/.initial=0.04*\causetTileSize, + link width/.initial=0.14*\causetTileSize, + broken link gap/.initial=0.42*\causetTileSize, tiny/.value forbidden, - small/.value forbidden, - normal/.value forbidden, - large/.value forbidden, - huge/.value forbidden, tiny/.style={% - tile size=0.30ex, - region line width=0.02ex, - grid line width=0.01ex, - event size=0.16ex, - link width=0.05ex, - broken link gap=0.15ex, - text scale=0.16}, + size unit=0.30ex, + text font=\tiny, + text scale=0.30}, + very small/.value forbidden, + very small/.style={% + size unit=0.40ex, + text font=\tiny, + text scale=0.40}, + small/.value forbidden, small/.style={% - tile size=0.60ex, - region line width=0.04ex, - grid line width=0.02ex, - event size=0.32ex, - link width=0.10ex, - broken link gap=0.30ex, - text scale=0.32}, + size unit=0.60ex, + text font=\scriptsize, + text scale=0.43}, + normal/.value forbidden, normal/.style={% - tile size=0.90ex, - region line width=0.06ex, - grid line width=0.03ex, - event size=0.48ex, - link width=0.15ex, - broken link gap=0.45ex, - text scale=0.48}, + size unit=0.90ex, + text font=\footnotesize, + text scale=0.56}, + large/.value forbidden, large/.style={% - tile size=1.35ex, - region line width=0.09ex, - grid line width=0.05ex, - event size=0.75ex, - link width=0.20ex, - broken link gap=0.60ex, + size unit=1.35ex, + text font=\small, text scale=0.75}, + very large/.value forbidden, + very large/.style={% + size unit=2.025ex, + text font=\normalsize, + text scale=1.02}, + huge/.value forbidden, huge/.style={% - tile size=1.80ex, - region line width=0.12ex, - grid line width=0.07ex, - event size=1.00ex, - link width=0.25ex, - broken link gap=0.75ex, - text scale=1.00} + size unit=2.70ex, + text font=\Large, + text scale=0.97} } -% color options: +% Colour options: \tikzcausetsset{% region color/.initial=black!75, grid color/.initial=black!25, @@ -139,7 +129,13 @@ ulabel color=magenta, vlabel color=magenta} } -% styles: +% Causet modification options: +\tikzcausetsset{% + offset/.store in=\causet@Offset, + every causet/.value forbidden, + every causet/.style={baseline=(baseline point)} +} +% Graphic component switches: \newif\ifcausetsDrawPermutation \newif\ifcausetsDrawLinks \newif\ifcausetsBreakLinks @@ -167,26 +163,58 @@ labeled u/.code={\causetsDrawULabelstrue}, unlabeled u/.code={\causetsDrawULabelsfalse}, labeled v/.code={\causetsDrawVLabelstrue}, - unlabeled v/.code={\causetsDrawVLabelsfalse}, + unlabeled v/.code={\causetsDrawVLabelsfalse} +} +% Permutation grid styles: +\tikzcausetsset{% every region/.value forbidden, - every region/.style={color=\pgfkeysvalueof{/tikz/causets/region color}, line width=\causetRegionLine}, + every region/.style={color=\pgfkeysvalueof{/tikz/causets/region color}, line width=\pgfkeysvalueof{/tikz/causets/region line width}}, region/.style={show permutation, every region/.append style={#1}}, every grid/.value forbidden, - every grid/.style={color=\pgfkeysvalueof{/tikz/causets/grid color}, line width=\causetGridLine, step=\causetTileSize}, + every grid/.style={color=\pgfkeysvalueof{/tikz/causets/grid color}, line width=\pgfkeysvalueof{/tikz/causets/grid line width}, step=\causetTileSize}, grid/.style={show permutation, every grid/.append style={#1}}, every tile/.value forbidden, - every tile/.style={color=\pgfkeysvalueof{/tikz/causets/tile color}, line width=\causetGridLine, fill}, - tiles/.style={show permutation, every tile/.append style={#1}}, + every tile/.style={color=\pgfkeysvalueof{/tikz/causets/tile color}, line width=\pgfkeysvalueof{/tikz/causets/grid line width}, fill}, + tiles/.style={show permutation, every tile/.append style={#1}} +} +% Label styles: +\tikzcausetsset{% + 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}}, + every ulabel/.value forbidden, + every ulabel/.style={every label base, color=\pgfkeysvalueof{/tikz/causets/ulabel color}, right, rotate=-45, inner sep=1pt, align=left}, + ulabels/.style={show ulabels, every ulabel/.append style={#1}}, + every vlabel/.value forbidden, + every vlabel/.style={every label base, color=\pgfkeysvalueof{/tikz/causets/vlabel color}, left, rotate=45, inner sep=1pt, align=right}, + 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}} +} +% Event styles: +\tikzcausetsset{% every event/.value forbidden, - every event/.style={color=\pgfkeysvalueof{/tikz/causets/event color}, circle, fill, inner sep=0pt, minimum size=\causetEventSize}, + every event/.style={color=\pgfkeysvalueof{/tikz/causets/event color}, circle, fill, inner sep=0pt, minimum size=\pgfkeysvalueof{/tikz/causets/event size}, line width=\pgfkeysvalueof{/tikz/causets/event outline}}, events/.value required, events/.style={every event/.append style={#1}}, + 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}} +} +% Link styles: +\tikzcausetsset{% Link Start/.tip={}, Link Pause/.tip={Triangle Cap[] . Fast Triangle[] . Fast Triangle[]}, Link Resume/.tip={Triangle Cap[reversed] . Fast Triangle[reversed] . Fast Triangle[reversed]}, Link End/.tip={}, every link/.value forbidden, - every link/.style={color=\pgfkeysvalueof{/tikz/causets/link color}, line width=\causetLinkWidth, {Link Start[]}-{Link End[]}}, + every link/.style={color=\pgfkeysvalueof{/tikz/causets/link color}, line width=\pgfkeysvalueof{/tikz/causets/link width}, {Link Start[]}-{Link End[]}}, links/.style={show links, every link/.append style={#1}}, link starts/.value required, link starts/.style={Link Start/.tip={#1}}, @@ -199,135 +227,129 @@ 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*\causetLinkWidth, line width=\causetLinkWidth/3]}}, + arrow links/.style={link ends={Stealth[round, open, 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}}, - every label base/.value forbidden, - every label base/.style={text opacity=1.0, scale=\causetTextScale, inner sep=0.5*\causetTextScale ex}, - all labels/.style={every label base/.append style={#1}}, - every label/.value forbidden, - every label/.style={every label base, color=\pgfkeysvalueof{/tikz/causets/label color}, below left}, - labels/.style={show labels, every label/.append style={#1}}, - every ulabel/.value forbidden, - every ulabel/.style={every label base, color=\pgfkeysvalueof{/tikz/causets/ulabel color}, right, rotate=-45, align=left}, - ulabels/.style={show ulabels, every ulabel/.append style={#1}}, - every vlabel/.value forbidden, - every vlabel/.style={every label base, color=\pgfkeysvalueof{/tikz/causets/vlabel color}, left, rotate=45, align=right}, - vlabels/.style={show vlabels, every vlabel/.append style={#1}}, - every causet/.value forbidden, - every causet/.style={baseline=-0.707*\causetTileSize} + spatial links/.style={show spatial links, every spatial link/.append style={#1}} } -%% delare and execute options: -\tikzcausetsset{normal} +%% Package options: +\tikzcausetsset{normal, offset=0} \causetsDrawLinkstrue \causetsBreakLinkstrue \causetsDrawULabelstrue \causetsDrawVLabelstrue \DeclareOption{tiny}{\tikzcausetsset{tiny}} +\DeclareOption{smaller}{\tikzcausetsset{very small}} \DeclareOption{small}{\tikzcausetsset{small}} \DeclareOption{large}{\tikzcausetsset{large}} +\DeclareOption{larger}{\tikzcausetsset{very large}} \DeclareOption{huge}{\tikzcausetsset{huge}} \DeclareOption{gray}{\tikzcausetsset{gray colors}} \DeclareOption{black}{\tikzcausetsset{black colors}} \DeclareOption{blue}{\tikzcausetsset{blue colors}} \DeclareOption{neon}{\tikzcausetsset{neon colors}} -\DeclareOption{gray colors}{\tikzcausetsset{gray colors}} -\DeclareOption{black colors}{\tikzcausetsset{black colors}} -\DeclareOption{blue colors}{\tikzcausetsset{blue colors}} -\DeclareOption{neon colors}{\tikzcausetsset{neon colors}} \DeclareOption{linked}{\causetsDrawLinkstrue} \DeclareOption{unlinked}{\causetsDrawLinksfalse} -\DeclareOption{cap linked}{\tikzcausetsset{cap links}} -\DeclareOption{arrow linked}{\tikzcausetsset{arrow links}} -\DeclareOption{brokenly linked}{\causetsBreakLinkstrue} -\DeclareOption{continuously linked}{\causetsBreakLinksfalse} -\DeclareOption{spatially linked}{\causetsDrawSpatialLinkstrue} -\DeclareOption{spatially unlinked}{\causetsDrawSpatialLinksfalse} +\DeclareOption{caps}{\tikzcausetsset{cap links}} +\DeclareOption{arrows}{\tikzcausetsset{arrow links}} +\DeclareOption{continuous}{\causetsBreakLinksfalse} +\DeclareOption{spatial}{\causetsDrawSpatialLinkstrue} \DeclareOption{permutation}{\causetsDrawPermutationtrue} \DeclareOption{labeled}{\causetsDrawLabelstrue} \DeclareOption{unlabeled}{\causetsDrawLabelsfalse} -\DeclareOption{labeled u}{\causetsDrawULabelstrue} -\DeclareOption{unlabeled u}{\causetsDrawULabelsfalse} -\DeclareOption{labeled v}{\causetsDrawVLabelstrue} -\DeclareOption{unlabeled v}{\causetsDrawVLabelsfalse} +\DeclareOption{ulabeled}{\causetsDrawULabelstrue} +\DeclareOption{uunlabeled}{\causetsDrawULabelsfalse} +\DeclareOption{vlabeled}{\causetsDrawVLabelstrue} +\DeclareOption{vunlabeled}{\causetsDrawVLabelsfalse} \DeclareOption*{\PackageWarning{causets}{The package causets does not support the option: \CurrentOption}} \ProcessOptions\relax -%% functions: -% variables: -\newcounter{causet@i} -\newcounter{causet@j} +%% Package functions: \newif\ifcauset@ItemFoundInList -% count the number of events: -\newcommand*{\causets@readCausetSize}[1]{% -\setcounter{causet@i}{0}% -\foreach \causet@p in {#1}{% - \stepcounter{causet@i}% -}% -\pgfmathsetmacro\causet@N{\value{causet@i}}% +\newcommand*{\causets@prepareCauset}[1]{% +% Count the number of events (\causet@N), find the minimal value in the list argument (\causet@Start), and define baseline point. +\foreach \causet@E@i/\causet@Label/\causet@Text [count=\causet@i] in {#1}{% + \ifnum\causet@i=1 + \pgfmathparse{int(\causet@E@i)} + \else + \pgfmathparse{int(min(\causet@Start, \causet@E@i))} + \fi + \xdef\causet@Start{\pgfmathresult} + \xdef\causet@N{\causet@i} +} +\pgfmathsetmacro\causet@Start{int(\causet@Start + \causet@Offset)} +\coordinate (baseline point) at (0, -0.707*\causetTileSize); +} + +\newcommand*{\causets@drawEvent}[2][every event]{% +% Draws the event node for \causet@E@i. By default the event style (optional argument #1) is that of every event. The text of the node is #2. +\pgfmathsetmacro\causet@u{\causet@E@i - \causet@Start + 0.5} +\pgfmathsetmacro\causet@v{\causet@i - 0.5} +\node[causets/.cd, #1] (E\causet@E@i) + at ( \causet@u * \causetTileSize, \causet@v * \causetTileSize ) + {#2}; } -% define and draw events as (E#): \newcommand*{\causets@drawEvents}[1]{% -\setcounter{causet@i}{0} -\foreach \causet@p in {#1}{% - \stepcounter{causet@i} - \pgfmathsetmacro\causet@e@U{\causet@p - 1.0} - \pgfmathsetmacro\causet@e@V{\value{causet@i} - 1.0} +% 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@E@i/\causet@Label/\causet@Text [count=\causet@i] in {#1}{% + \pgfmathsetmacro\causet@E@i{int(\causet@E@i + \causet@Offset)} + \pgfmathsetmacro\causet@u{\causet@E@i - \causet@Start} + \pgfmathsetmacro\causet@v{\causet@i - 1.0} \ifcausetsDrawPermutation - \path[causets/.cd, every tile] ( \causet@e@U * \causetTileSize, \causet@e@V * \causetTileSize ) + \path[causets/.cd, every tile] + ( \causet@u * \causetTileSize, \causet@v * \causetTileSize ) rectangle +( \causetTileSize, \causetTileSize ); \fi - \pgfmathsetmacro\causet@e@U{\causet@p - 0.5} - \pgfmathsetmacro\causet@e@V{\value{causet@i} - 0.5} - \node[causets/.cd, every event] (E\causet@p) - at ( \causet@e@U * \causetTileSize, \causet@e@V * \causetTileSize ) - {}; + \ifx\causet@Text\causet@Label + \causets@drawEvent{} + \else + \causets@drawEvent[every replaced event]{\causet@Text} + \fi } } -% draw the permutation and the null coordinate labels: \newcommand*{\causets@drawPermutation}[1]{% +% Draws the permutation grid and adds the u- and v-coordinate labels. \ifcausetsDrawPermutation \draw[causets/.cd, every grid] ( 0, 0 ) grid ( \causet@N * \causetTileSize, \causet@N * \causetTileSize ); \draw[causets/.cd, every region] ( 0, 0 ) rectangle ( \causet@N * \causetTileSize, \causet@N * \causetTileSize ); - \setcounter{causet@i}{0} - \foreach \causet@p in {#1}{% - \stepcounter{causet@i} + \foreach \causet@E@i/\causet@Label/\causet@Text [count=\causet@i] in {#1}{% + \pgfmathsetmacro\causet@E@i{int(\causet@E@i + \causet@Offset)} \ifcausetsDrawULabels - \node[causets/.cd, every ulabel] (EUL\causet@p) - at ( \value{causet@i} * \causetTileSize - 0.5 * \causetTileSize, 0 ) - {\thecauset@i}; + \pgfmathsetmacro\causet@u{int(\causet@i + \causet@Start - 1)} + \node[causets/.cd, every ulabel] (EUL\causet@E@i) + at ( \causet@i * \causetTileSize - 0.5 * \causetTileSize, 0 ) + {\causet@u}; \fi \ifcausetsDrawVLabels - \node[causets/.cd, every vlabel] (EVL\causet@p) - at ( 0, \value{causet@i} * \causetTileSize - 0.5 * \causetTileSize ) - {\causet@p}; + \node[causets/.cd, every vlabel] (EVL\causet@E@i) + at ( 0, \causet@i * \causetTileSize - 0.5 * \causetTileSize ) + {\causet@E@i}; \fi } \fi } -% draw the spatial links from the permutation: \newcommand*{\causets@drawSpatialLinks}[1]{% +% Draws the spatial links between the events (only for \drawpcauset and \drawrcauset). \ifcausetsDrawSpatialLinks - \setcounter{causet@i}{0} - \foreach \causet@p in {#1}{% - \stepcounter{causet@i} - \edef\causet@qBound{0} - \setcounter{causet@j}{0} - \foreach \causet@q in {#1}{% - \stepcounter{causet@j} - \ifnum\value{causet@j}>\value{causet@i} - \ifnum\causet@q>\causet@qBound - \ifnum\causet@p>\causet@q - \draw[causets/.cd, every spatial link] (E\causet@q) -- (E\causet@p); - \xdef\causet@qBound{\causet@q} + \foreach \causet@E@i/\causet@Label/\causet@Text [count=\causet@i] in {#1}{% + \pgfmathsetmacro\causet@E@i{int(\causet@E@i + \causet@Offset)} + % \causet@Bound stores the lower bound to find spatially linked events. + \edef\causet@Bound{\causet@Offset} + \foreach \causet@E@j/\causet@Label/\causet@Text [count=\causet@j] in {#1}{% + \ifnum\causet@j>\causet@i + \pgfmathsetmacro\causet@E@j{int(\causet@E@j + \causet@Offset)} + \ifnum\causet@E@j>\causet@Bound + \ifnum\causet@E@i>\causet@E@j + % Add spatial link and remember new lower bound: + \draw[causets/.cd, every spatial link] (E\causet@E@j) -- (E\causet@E@i); + \xdef\causet@Bound{\causet@E@j} \fi \fi \fi @@ -336,37 +358,51 @@ \fi } -% draw event labels: +\newcommand*{\causets@drawEventLabel}[1][every label]{% +% Draws the event label for \causet@E@i (shifted by \causet@Offset). By default the label style is assumed that of a standard event label. +\pgfmathsetmacro\causet@E@i{int(\causet@E@i + \causet@Offset)} +\node[causets/.cd, #1] (EL\causet@E@i) + at (E\causet@E@i.\pgfkeysvalueof{/tikz/causets/at}) {\causet@Label}; +} + \newcommand*{\causets@drawEventLabels}[1]{% -\ifcausetsDrawLabels - \foreach \causet@p in {#1}{% - \node[causets/.cd, every label] (EL\causet@p) - at (E\causet@p) {\causet@p}; - } -\fi +% Adds event labels to the events. +\foreach \causet@E@i/\causet@Label/\causet@Text in {#1}{% + \ifx\causet@E@i\causet@Label + \ifcausetsDrawLabels + \causets@drawEventLabel + \fi + \else + \ifx\causet@Label\empty + \relax% Skip empty labels + \else + \causets@drawEventLabel[every replaced label] + \fi + \fi +} } -% draw a causet from a permutation: \newcommand*{\drawpcauset}[1]{% -\causets@readCausetSize{#1} +% Draws a causet from a permutation. +\causets@prepareCauset{#1} \begin{scope}[rotate=45] \begin{scope}[xshift=-\causet@N * \causetTileSize / 2, yshift=-\causet@N * \causetTileSize / 2] \causets@drawEvents{#1} \causets@drawPermutation{#1} \ifcausetsDrawLinks - \setcounter{causet@i}{0} - \foreach \causet@p in {#1}{% - \stepcounter{causet@i} - \pgfmathsetmacro\causet@qBound{int(\causet@N + 1)} - \setcounter{causet@j}{0} - \foreach \causet@q in {#1}{% - \stepcounter{causet@j} - \ifnum\value{causet@j}>\value{causet@i} - \ifnum\causet@q<\causet@qBound - \ifnum\causet@p<\causet@q - \draw[causets/.cd, every link] (E\causet@p) -- (E\causet@q); - \xdef\causet@qBound{\causet@q} + \foreach \causet@E@i/\causet@Label/\causet@Text [count=\causet@i] in {#1}{% + \pgfmathsetmacro\causet@E@i{int(\causet@E@i + \causet@Offset)} + % \causet@Bound stores the upper bound to find linked events. + \pgfmathsetmacro\causet@Bound{int(\causet@N + \causet@Start)} + \foreach \causet@E@j/\causet@Label/\causet@Text [count=\causet@j] in {#1}{% + \ifnum\causet@j>\causet@i + \pgfmathsetmacro\causet@E@j{int(\causet@E@j + \causet@Offset)} + \ifnum\causet@E@j<\causet@Bound + \ifnum\causet@E@i<\causet@E@j + % Add link and remember new upper bound: + \draw[causets/.cd, every link] (E\causet@E@i) -- (E\causet@E@j); + \xdef\causet@Bound{\causet@E@j} \fi \fi \fi @@ -379,9 +415,9 @@ \end{scope} } -% draw a causet from a permutation and a link-pair list: \newcommand*{\drawcauset}[2]{% -\causets@readCausetSize{#1} +% Draws a causet from a permutation and a link-pair list. +\causets@prepareCauset{#1} \begin{scope}[rotate=45] \begin{scope}[xshift=-\causet@N * \causetTileSize / 2, yshift=-\causet@N * \causetTileSize / 2] @@ -389,55 +425,67 @@ \causets@drawPermutation{#1} \ifcausetsDrawLinks \ifcausetsBreakLinks + % Broken links are allowed, so test every link if it crosses over an unlinked event: \foreach \causet@From/\causet@To in {#2}{% - \pgfmathsetmacro\causet@dU{int(\causet@To) - int(\causet@From)} - \setcounter{causet@i}{0} - \foreach \causet@p in {#1}{% - \ifnum\causet@p=\causet@To - \pgfmathparse{int(\value{causet@i})} - \xdef\causet@dV{\pgfmathresult} - \fi - \ifnum\value{causet@i}>0 - \stepcounter{causet@i} + % In this function, \causet@u and \causet@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@u{int(\causet@To) - int(\causet@From)} + \foreach \causet@E@i/\causet@Label/\causet@Text [count=\causet@i] in {#1}{% + \ifnum\causet@E@i=\causet@From + \xdef\causet@v{\causet@i} \fi - \ifnum\causet@p=\causet@From - \stepcounter{causet@i} + \ifnum\causet@E@i=\causet@To + \pgfmathparse{int(\causet@i - \causet@v)} + \xdef\causet@v{\pgfmathresult} + \breakforeach \fi } - \def\causet@LastBreak{0} - \setcounter{causet@i}{0} - \foreach \causet@p in {#1}{% - \ifnum\causet@p=\causet@To - \setcounter{causet@i}{0} + % Now add offset to events: + \pgfmathsetmacro\causet@From{int(\causet@From + \causet@Offset)} + \pgfmathsetmacro\causet@To{int(\causet@To + \causet@Offset)} + % In this function, \causet@E@j stores the last breaking point and \causet@j the index of \causet@From. + \pgfmathsetmacro\causet@E@j{int(\causet@From - 1)} + \edef\causet@j{0} + \foreach \causet@E@i/\causet@Label/\causet@Text [count=\causet@i] in {#1}{% + \pgfmathsetmacro\causet@E@i{int(\causet@E@i + \causet@Offset)} + \ifnum\causet@E@i=\causet@To + \edef\causet@j{0} + \breakforeach \fi - \pgfmathparse{and(\value{causet@i} > 0, int((\causet@p - \causet@From) * \causet@dV) == int(\causet@dU * \value{causet@i}))} - \ifnum\pgfmathresult=1 - \ifnum\causet@LastBreak=0 - \draw[causets/.cd, every link, {Link Start}-{Link Pause}, shorten >=\causetBrokenLinkGap] - (E\causet@From) -- (E\causet@p); - \else - \draw[causets/.cd, every link, {Link Resume}-{Link Pause}, shorten <=\causetBrokenLinkGap, shorten >=\causetBrokenLinkGap] - (E\causet@LastBreak) -- (E\causet@p); + \ifnum\causet@j>0 + % If the u-/v-coordinate ratio is the same, the event \causet@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@E@i - \causet@From) * \causet@v)}{int(\causet@u * (\causet@i - \causet@j)))} + \ifnum\pgfmathresult=1 + \ifnum\causet@E@j<\causet@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@From) -- (E\causet@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@E@j) -- (E\causet@E@i); + \fi + \xdef\causet@E@j{\causet@E@i} \fi - \xdef\causet@LastBreak{\causet@p} - \fi - \ifnum\value{causet@i}>0 - \stepcounter{causet@i} \fi - \ifnum\causet@p=\causet@From - \setcounter{causet@i}{1} + \ifnum\causet@E@i=\causet@From + \xdef\causet@j{\causet@i} \fi } - \ifnum\causet@LastBreak>0 - \draw[causets/.cd, every link, {Link Resume}-{Link End}, shorten <=\causetBrokenLinkGap] - (E\causet@LastBreak) -- (E\causet@To); + \ifnum\causet@E@j>\causet@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@E@j) -- (E\causet@To); \else + % Link does not cross over another event, so just draw it: \draw[causets/.cd, every link] (E\causet@From) -- (E\causet@To); \fi } \else + % Broken links are not allowed, so just draw the links: \foreach \causet@From/\causet@To in {#2}{% + \pgfmathsetmacro\causet@From{int(\causet@From + \causet@Offset)} + \pgfmathsetmacro\causet@To{int(\causet@To + \causet@Offset)} \draw[causets/.cd, every link] (E\causet@From) -- (E\causet@To); } \fi @@ -447,38 +495,40 @@ \end{scope} } -% draw a causet from a permutation removes links given in a link-pair list: \newcommand*{\drawrcauset}[2]{% -\causets@readCausetSize{#1} +% Draws a causet from a permutation and ignoring links given in the second list argument (of link-pairs). +\causets@prepareCauset{#1} \begin{scope}[rotate=45] \begin{scope}[xshift=-\causet@N * \causetTileSize / 2, yshift=-\causet@N * \causetTileSize / 2] \causets@drawEvents{#1} \causets@drawPermutation{#1} \ifcausetsDrawLinks - \setcounter{causet@i}{0} - \foreach \causet@p in {#1}{% - \stepcounter{causet@i} - \pgfmathsetmacro\causet@qBound{int(\causet@N + 1)} - \setcounter{causet@j}{0} - \foreach \causet@q in {#1}{ - \stepcounter{causet@j} - \ifnum\value{causet@j}>\value{causet@i} - \ifnum\causet@q<\causet@qBound - \ifnum\causet@p<\causet@q + \foreach \causet@E@i/\causet@Label/\causet@Text [count=\causet@i] in {#1}{% + \pgfmathsetmacro\causet@E@i{int(\causet@E@i + \causet@Offset)} + % \causet@Bound stores the upper bound to find linked events. + \pgfmathsetmacro\causet@Bound{int(\causet@N + \causet@Start)} + \foreach \causet@E@j/\causet@Label/\causet@Text [count=\causet@j] in {#1}{% + \ifnum\causet@j>\causet@i + \pgfmathsetmacro\causet@E@j{int(\causet@E@j + \causet@Offset)} + \ifnum\causet@E@j<\causet@Bound + \ifnum\causet@E@i<\causet@E@j + % Check second list argument if the link has to be ignored: \global\causet@ItemFoundInListfalse \foreach \causet@From/\causet@To in {#2}{% - \pgfmathparse{and(int(\causet@From) == int(\causet@p), int(\causet@To) == int(\causet@q))} + \pgfmathparse{and(int(\causet@From + \causet@Offset) == int(\causet@E@i), int(\causet@To + \causet@Offset) == int(\causet@E@j))} \ifnum\pgfmathresult=1 \global\causet@ItemFoundInListtrue \fi } \ifcauset@ItemFoundInList - % skip link + \relax% Skip link as it is included in the second argument. \else - \draw[causets/.cd, every link] (E\causet@p) -- (E\causet@q); + % Draw link as it is not included in the second argument: + \draw[causets/.cd, every link] (E\causet@E@i) -- (E\causet@E@j); \fi - \xdef\causet@qBound{\causet@q} + % Remember new upper bound: + \xdef\causet@Bound{\causet@E@j} \fi \fi \fi @@ -486,8 +536,11 @@ } \fi \causets@drawSpatialLinks{#1} + % Add omitted links as spatial links: \ifcausetsDrawSpatialLinks \foreach \causet@From/\causet@To in {#2}{% + \pgfmathsetmacro\causet@From{int(\causet@From + \causet@Offset)} + \pgfmathsetmacro\causet@To{int(\causet@To + \causet@Offset)} \draw[causets/.cd, every spatial link] (E\causet@From) -- (E\causet@To); } \fi @@ -496,53 +549,51 @@ \end{scope} } -% insert a TikZ picture with a causet from a permutation: \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}} -% insert a TikZ picture with a causet from a permutation and a link-pair list: \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}} -% insert a TikZ picture with a causet from a permutation removes links given -% in a link-pair list: \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}} -%% short-hand functions: +%% Short-hand and pre-computed causet functions: \providecommand{\causetspath}{.} \newcommand*{\causetfile}[2][]{% \includegraphics[#1]{\causetspath/#2}} \newcommand*{\pcausetP}[2][]{% -{\causetsDrawPermutationtrue\pcauset[#1]{#2}}} +{\causetsDrawPermutationtrue\causetsDrawLabelsfalse\pcauset[#1]{#2}}} \newcommand*{\pcausetL}[2][]{% -{\causetsDrawLabelstrue\pcauset[#1]{#2}}} +{\causetsDrawPermutationfalse\causetsDrawLabelstrue\pcauset[#1]{#2}}} \newcommand*{\pcausetX}[2][]{% -{\causetsDrawPermutationtrue\pcausetL[#1]{#2}}} +{\causetsDrawPermutationtrue\causetsDrawLabelstrue\pcauset[#1]{#2}}} \newcommand*{\causetP}[3][]{% -{\causetsDrawPermutationtrue\causet[#1]{#2}{#3}}} +{\causetsDrawPermutationtrue\causetsDrawLabelsfalse\causet[#1]{#2}{#3}}} \newcommand*{\causetL}[3][]{% -{\causetsDrawLabelstrue\causet[#1]{#2}{#3}}} +{\causetsDrawPermutationfalse\causetsDrawLabelstrue\causet[#1]{#2}{#3}}} \newcommand*{\causetX}[3][]{% -{\causetsDrawPermutationtrue\causetL[#1]{#2}{#3}}} +{\causetsDrawPermutationtrue\causetsDrawLabelstrue\causet[#1]{#2}{#3}}} \newcommand*{\rcausetP}[3][]{% -{\causetsDrawPermutationtrue\rcauset[#1]{#2}{#3}}} +{\causetsDrawPermutationtrue\causetsDrawLabelsfalse\rcauset[#1]{#2}{#3}}} \newcommand*{\rcausetL}[3][]{% -{\causetsDrawLabelstrue\rcauset[#1]{#2}{#3}}} +{\causetsDrawPermutationfalse\causetsDrawLabelstrue\rcauset[#1]{#2}{#3}}} \newcommand*{\rcausetX}[3][]{% -{\causetsDrawPermutationtrue\rcausetL[#1]{#2}{#3}}} +{\causetsDrawPermutationtrue\causetsDrawLabelstrue\rcauset[#1]{#2}{#3}}} -%% some standard causets: \newcommand*{\causetFence}[2][]{% \ifcase#2% \or%=1 |