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diff --git a/Master/texmf-dist/source/latex/tqft/tqft.dtx b/Master/texmf-dist/source/latex/tqft/tqft.dtx new file mode 100644 index 00000000000..769cf8018a7 --- /dev/null +++ b/Master/texmf-dist/source/latex/tqft/tqft.dtx @@ -0,0 +1,1212 @@ +% \iffalse meta-comment +%<*internal> +\iffalse +%</internal> +%<*readme> +---------------------------------------------------------------- +tqft --- a style file for drawing TQFT diagrams with TikZ/PGF +E-mail: stacey@math.ntnu.no +Released under the LaTeX Project Public License v1.3c or later +See http://www.latex-project.org/lppl.txt +---------------------------------------------------------------- + +This package defines some node shapes useful for drawing TQFT diagrams with TikZ/PGF. +%</readme> +%<*internal> +\fi +\def\nameofplainTeX{plain} +\ifx\fmtname\nameofplainTeX\else + \expandafter\begingroup +\fi +%</internal> +%<*install> +\input docstrip.tex +\keepsilent +\askforoverwritefalse +\preamble +---------------------------------------------------------------- +tqft --- a style file for drawing TQFT diagrams with TikZ/PGF +E-mail: stacey@math.ntnu.no +Released under the LaTeX Project Public License v1.3c or later +See http://www.latex-project.org/lppl.txt +---------------------------------------------------------------- + +\endpreamble +\postamble + +Copyright (C) 2011 by Andrew Stacey <stacey@math.ntnu.no> + +This work may be distributed and/or modified under the +conditions of the LaTeX Project Public License (LPPL), either +version 1.3c of this license or (at your option) any later +version. The latest version of this license is in the file: + +http://www.latex-project.org/lppl.txt + +This work is "maintained" (as per LPPL maintenance status) by +Andrew Stacey. + +This work consists of the file tqft.dtx +and the derived files tqft.ins, + tqft.pdf, and + tqft.sty. + +\endpostamble +\usedir{tex/latex/tqft} +\generate{ + \file{\jobname.sty}{\from{\jobname.dtx}{package}} +} +%</install> +%<install>\endbatchfile +%<*internal> +\usedir{source/latex/tqft} +\generate{ + \file{\jobname.ins}{\from{\jobname.dtx}{install}} +} +\nopreamble\nopostamble +\usedir{doc/latex/demopkg} +\generate{ + \file{README.txt}{\from{\jobname.dtx}{readme}} +} +\ifx\fmtname\nameofplainTeX + \expandafter\endbatchfile +\else + \expandafter\endgroup +\fi +%</internal> +%<*package> +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{tqft}[2011/05/03 v1.0 Tikz/PGF commands for drawing TQFT diagrams] +%</package> +%<*driver> +\documentclass{ltxdoc} +\usepackage[T1]{fontenc} +\usepackage{lmodern} +%\usepackage{morefloats} +\usepackage{tikz} +\usepackage{\jobname} +\usepackage[numbered]{hypdoc} +\definecolor{lstbgcolor}{rgb}{0.9,0.9,0.9} + +\usepackage{listings} +\lstloadlanguages{[LaTeX]TeX} +\lstset{breakatwhitespace=true,breaklines=true,language=TeX} + +\usepackage{fancyvrb} +\EnableCrossrefs +\CodelineIndex +\RecordChanges +\begin{document} + \DocInput{\jobname.dtx} +\end{document} +%</driver> +% \fi +% +% \CheckSum{1595} +% +% \CharacterTable +% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z +% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z +% Digits \0\1\2\3\4\5\6\7\8\9 +% Exclamation \! Double quote \" Hash (number) \# +% Dollar \$ Percent \% Ampersand \& +% Acute accent \' Left paren \( Right paren \) +% Asterisk \* Plus \+ Comma \, +% Minus \- Point \. Solidus \/ +% Colon \: Semicolon \; Less than \< +% Equals \= Greater than \> Question mark \? +% Commercial at \@ Left bracket \[ Backslash \\ +% Right bracket \] Circumflex \^ Underscore \_ +% Grave accent \` Left brace \{ Vertical bar \| +% Right brace \} Tilde \~} +% +% +% \changes{1.0}{2011/05/03}{Converted to DTX file} +% +% \DoNotIndex{\newcommand,\newenvironment} +% +% \providecommand*{\url}{\texttt} +% \GetFileInfo{tqft.dtx} +% \title{The \textsf{tqft} package: codebase} +% \author{Andrew Stacey \\ \url{stacey@math.ntnu.no}} +% \date{\fileversion~from \filedate} +% +% \maketitle +% +% +% \begin{tikzpicture}[every node/.style={tqft/cobordism style={draw,thick,red}}] +% \node[ +% tqft, +% fill=orange, +% fill opacity=.5, +% boundary style={fill=purple}, +% cobordism style={draw,thick,red}, +% boundary lower style={draw,dashed,thick,blue}, +% boundary upper style={draw,green,thick}, +% incoming boundary components=4, +% outgoing boundary components=6, +% offset=-1.5, +% ] (a) {}; +% \node[pin=north:1] at (a.incoming boundary 1) {}; +% \node[pin=north:3] at (a.incoming boundary 3) {}; +% \node[pin=south:1] at (a.outgoing boundary 1) {}; +% \node[pin=south:4] at (a.outgoing boundary 4) {}; +% \node[pin=south:6] at (a.outgoing boundary 6) {}; +% \end{tikzpicture} +% +% \section{Introduction} +% +% This is a package for drawing TQFT diagrams using PGF/TikZ. +% Its inspiration was a question and answer on the website \url{http://tex.stackexchance.com}. +% +% +% \StopEventually{} +% +% \section{Implementation} +% +% \iffalse +%<*package> +% \fi +% \begin{macrocode} +\RequirePackage{pgfkeys} +\RequirePackage{pgf} +% \end{macrocode} +% +% We can view the cobordisms from the \emph{input} or \emph{output} ends, the implementation of the choice is to draw an arc from 0 to 180 or from 0 to -180 so we just need to track minus signs. +% These macros are for that. +% \begin{macrocode} +\def\pgf@tqft@minus{-} +\let\pgf@tqft@upper\@empty +\let\pgf@tqft@lower\pgf@tqft@minus +% \end{macrocode} +% Some helpful extra functions. +% +% \Verb+\tqftset+ is our equivalent of \Verb+\tikzset+. +% \begin{macrocode} +\def\tqftset#1{\pgfkeys{/pgf/tqft/.cd,#1}} +% \end{macrocode} +% \begin{macro}{\tqft@process} +% This macro applies our flow transformation to the given coordinates, % with the result stored in \Verb+\pgf@x+ and \Verb+\pgf@y+. +% \begin{macrocode} +\def\tqft@process#1#2{% + \edef\tqft@px{#1} + \edef\tqft@py{#2} + \pgf@process{ + \pgftransformreset + \let\tikz@transform=\pgfutil@empty + \expandafter\tikzset\expandafter{\tqft@transformation} + \tikz@transform + \pgfpointtransformed{\pgfqpoint{\tqft@px}{\tqft@py}} + } +} +% \end{macrocode} +% \end{macro} +% +% Declare some dimension registers to hold the specifications of the cobordism. +% \begin{macrocode} +\newdimen\tqft@xa +\newdimen\tqft@xb +\newdimen\tqft@c +\newdimen\tqft@ch +\newdimen\tqft@h +\newdimen\tqft@s +\newdimen\tqft@w +\newif\iftqft@within@node +% \end{macrocode} +% Now we set up all the keys that we'll need in the course of this shape +% \begin{macrocode} +\pgfkeys{ +% \end{macrocode} +% This key is our basic installer key, setting the shape and putting us in the right key family. +% \begin{macrocode} + /tikz/tqft/.style={% + /tikz/shape=tqft cobordism, + /pgf/tqft, + /tikz/every tqft + }, +% \end{macrocode} +% This deals with unknown keys, passing them on to TikZ. +% \begin{macrocode} + /pgf/tqft/.unknown/.code={% + \let\tqft@searchname=\pgfkeyscurrentname% + \pgfkeysalso{% + /tikz/\tqft@searchname=#1 + } + }, +% \end{macrocode} +% Here we have the standard \Verb+every something+ style. +% \begin{macrocode} + /tikz/every tqft/.style={}, +% \end{macrocode} +% We might get called in \Verb+/tikz+ or \Verb+/pgf+, this passes off anything in \Verb+/tikz/tqft+ to \Verb+/pgf/tqft+. +% \begin{macrocode} + /tikz/tqft/.unknown/.code={% + \let\tqft@searchname=\pgfkeyscurrentname% + \pgfkeysalso{% + /pgf/tqft/\tqft@searchname=#1 + } + }, +% \end{macrocode} +% Let's play happy families! +% \begin{macrocode} + /pgf/tqft/.is family, + /pgf/tqft, +% \end{macrocode} +% This sets our shape to be the boundary circle +% \begin{macrocode} + boundary circle/.style={ + /tikz/shape=tqft boundary circle + }, +% \end{macrocode} +% These set our number of boundary components +% \begin{macrocode} + incoming boundary components/.initial=5, + outgoing boundary components/.initial=4, +% \end{macrocode} +% This is the ``horizontal'' offset of the first outgoing component from the first incoming one. +% \begin{macrocode} + offset/.initial=0, +% \end{macrocode} +% This is the ``vertical'' separation between boundary components. +% \begin{macrocode} + cobordism height/.initial=2cm, +% \end{macrocode} +% This is the ``horizontal'' separation between boundary components. +% \begin{macrocode} + boundary separation/.initial=2cm, +% \end{macrocode} +% These are the ``horizontal'' and ``vertical'' radii, respectively, of the boundary components (perhaps poorly named!). +% \begin{macrocode} + circle width/.initial=10pt, + circle depth/.initial=5pt, +% \end{macrocode} +% These control the separation between the node and its anchors. +% \begin{macrocode} + outer xsep/.initial=0pt, + outer ysep/.initial=0pt, + outer sep/.style={ + outer xsep=#1, + outer ysep=#1 + }, +% \end{macrocode} +% This is our flow control. The \Verb+flow+ key installs a transformation to be applied to our node shape. +% The possible transformations are stored in the following keys. +% They aren't just rotations so that the numbering is always ``top to bottom'' or ``left to right''. +% \begin{macrocode} + flow/.code={% + \pgfkeys{/pgf/tqft/flow transformation/.expand twice/.expand once=\pgfkeysvalueof{/pgf/tqft/flow transformation #1}} + }, + flow transformation south/.initial={}, + flow transformation north/.initial={% + xscale=-1,rotate=180 + }, + flow transformation east/.initial={% + rotate=90,xscale=-1 + }, + flow transformation west/.initial={% + rotate=270 + }, + flow transformation/.initial={}, +% \end{macrocode} +% These control the direction from which we view the cobordism. +% \begin{macrocode} + view from/.is choice, + view from/incoming/.code={% + \let\pgf@tqft@upper\pgf@tqft@minus + \let\pgf@tqft@lower\@empty + }, + view from/outgoing/.code={% + \let\pgf@tqft@lower\pgf@tqft@minus + \let\pgf@tqft@upper\@empty + }, +% \end{macrocode} +% The next set of keys are for styling the different pieces of a cobordism. +% \begin{macrocode} + boundary lower style contents/.initial={}, + boundary lower style/.code={% + \pgfkeys{/pgf/tqft/boundary lower style contents/.style={% + /tikz/.cd,#1 + } + } + }, + boundary style contents/.initial={}, + boundary style/.code={% + \pgfkeys{/pgf/tqft/boundary style contents/.style={% + /tikz/.cd,#1 + } + } + }, + boundary upper style contents/.initial={}, + boundary upper style/.code={% + \pgfkeys{/pgf/tqft/boundary upper style contents/.style={% + /tikz/.cd,#1 + } + } + }, + cobordism style contents/.initial={}, + cobordism style/.code={% + \pgfkeys{/pgf/tqft/cobordism style contents/.style={% + /tikz/.cd,#1% + } + } + }, +% \end{macrocode} +% The next set of keys define some default shapes. +% \begin{macrocode} + pair of pants/.style={ + /tikz/tqft, + incoming boundary components=1, + outgoing boundary components=2, + offset=-.5 + }, + /tikz/tqft pair of pants/.style={ + /pgf/tqft/pair of pants, + }, + reverse pair of pants/.style={ + /tikz/tqft, + incoming boundary components=2, + outgoing boundary components=1, + offset=.5 + }, + /tikz/tqft reverse pair of pants/.style={ + /pgf/tqft/reverse pair of pants, + }, + cylinder to prior/.style={ + /tikz/tqft, + incoming boundary components=1, + outgoing boundary components=1, + offset=-.5 + }, + /tikz/tqft cylinder to prior/.style={ + /pgf/tqft/cylinder to prior, + }, + cylinder to next/.style={ + /tikz/tqft, + incoming boundary components=1, + outgoing boundary components=1, + offset=.5 + }, + /tikz/tqft cylinder to next/.style={ + /pgf/tqft/cylinder to next, + }, + cylinder/.style={ + /tikz/tqft, + incoming boundary components=1, + outgoing boundary components=1 + }, + /tikz/tqft cylinder/.style={ + /pgf/tqft/cylinder, + }, + cup/.style={ + /tikz/tqft, + incoming boundary components=1, + outgoing boundary components=0 + }, + /tikz/tqft cup/.style={ + /pgf/tqft/cup, + }, + cap/.style={ + /tikz/tqft, + incoming boundary components=0, + outgoing boundary components=1 + }, + /tikz/tqft cap/.style={ + /pgf/tqft/cap, + }, +} +% \end{macrocode} +% +% \begin{macro}{tqft shape} +% This is a generic cobordism shape +% \begin{macrocode} +\pgfdeclareshape{tqft cobordism}{ +% \end{macrocode} +% Save our specifications: incoming and outgoing boundary components +% \begin{macrocode} + \savedmacro{\tqft@incoming}{\edef\tqft@incoming{\pgfkeysvalueof{/pgf/tqft/incoming boundary components}}} + \savedmacro{\tqft@outgoing}{\edef\tqft@outgoing{\pgfkeysvalueof{/pgf/tqft/outgoing boundary components}}} +% \end{macrocode} +% and the offset (in units of boundary components) between the leading incoming and outgoing components (regarded as a shift of the outgoing components relative to the incoming) +% \begin{macrocode} + \savedmacro{\tqft@offset}{\edef\tqft@offset{\pgfkeysvalueof{/pgf/tqft/offset}}} +% \end{macrocode} +% Now we save our dimensions: height, separation, the radii of the boundary circles, and outer seps, and the heights of the control points. +% \begin{macrocode} + \saveddimen{\tqft@height}{\pgf@x=\pgfkeysvalueof{/pgf/tqft/cobordism height}} + \saveddimen{\tqft@separation}{\pgf@x=\pgfkeysvalueof{/pgf/tqft/boundary separation}} + \saveddimen{\tqft@width}{\pgf@x=\pgfkeysvalueof{/pgf/tqft/circle width}} + \saveddimen{\tqft@depth}{\pgf@x=\pgfkeysvalueof{/pgf/tqft/circle depth}} + \saveddimen{\tqft@outerxsep}{\pgf@x=\pgfkeysvalueof{/pgf/tqft/outer xsep}} + \saveddimen{\tqft@outerysep}{\pgf@x=\pgfkeysvalueof{/pgf/tqft/outer ysep}} + \saveddimen{\tqft@control}{ + \pgfkeysgetvalue{/pgf/tqft/cobordism height}{\tqft@tempa} + \pgfkeysgetvalue{/pgf/tqft/circle depth}{\tqft@tempb} + \pgfmathsetlength{\pgf@x}{.5 * \tqft@tempa - 4 * \tqft@tempb} +} +% \end{macrocode} +% This is the internal transformation that is in place +% \begin{macrocode} + \savedmacro{\tqft@transformation}{% + \pgfkeysgetvalue{/pgf/tqft/flow transformation}{\tqft@transformation} +} +% \end{macrocode} +% For the externally available anchors, we need to save a few things as well. +% +% Position of first incoming boundary in internal coordinates +% \begin{macrocode} + \savedanchor{\tqft@start@incoming}{% + \pgfmathsetlength{\pgf@x}{-(max(\pgfkeysvalueof{/pgf/tqft/incoming boundary components} - 1,\pgfkeysvalueof{/pgf/tqft/outgoing boundary components} - 1 + \pgfkeysvalueof{/pgf/tqft/offset}) + min(0,\pgfkeysvalueof{/pgf/tqft/offset}) )*\pgfkeysvalueof{/pgf/tqft/boundary separation}/2} + \pgfmathsetlength{\pgf@y}{.5 * \pgfkeysvalueof{/pgf/tqft/cobordism height}} +} +% \end{macrocode} +% Position of first outgoing boundary in internal coordinates +% \begin{macrocode} + \savedanchor{\tqft@start@outgoing}{% + \pgfmathsetlength{\pgf@x}{-(max(\pgfkeysvalueof{/pgf/tqft/incoming boundary components} - 1,\pgfkeysvalueof{/pgf/tqft/outgoing boundary components} - 1 + \pgfkeysvalueof{/pgf/tqft/offset}) + min(0,\pgfkeysvalueof{/pgf/tqft/offset})- 2*\pgfkeysvalueof{/pgf/tqft/offset})*\pgfkeysvalueof{/pgf/tqft/boundary separation}/2} + \pgfmathsetlength{\pgf@y}{-.5 * \pgfkeysvalueof{/pgf/tqft/cobordism height}} +} +% \end{macrocode} +% For completeness, we record the size of the text box (not that we expect any text, but you never know) +% \begin{macrocode} +\savedanchor{\tqft@textsize}{% + \pgf@y=-.5\ht\pgfnodeparttextbox% + \pgf@x=-.5\wd\pgfnodeparttextbox% +} +% \end{macrocode} +% +% These are our externally available anchors +% \begin{macrocode} + \anchor{centre}{\pgfpointorigin} + \anchor{center}{\pgfpointorigin} +\anchor{text}{ + \tqft@textsize +} +\anchor{north}{% + \pgf@ya=\tqft@height\relax + \pgf@yb=.5\pgf@ya + \advance\pgf@yb by \tqft@outerysep\relax + \tqft@process{0pt}{\the\pgf@yb} +} +\anchor{south}{% + \pgf@yb=\tqft@height\relax + \pgf@ya=.5\pgf@yb + \advance\pgf@ya by \tqft@outerysep\relax + \pgf@yb=-\pgf@ya + \tqft@process{0pt}{\the\pgf@yb} +} +\anchor{west}{% + \tqft@start@incoming + \pgf@xa=\pgf@x + \advance\pgf@xa by -\tqft@width + \pgf@ya=\pgf@y + \tqft@start@outgoing + \pgf@xb=\pgf@x + \advance\pgf@xb by -\tqft@width + \pgf@yb=\pgf@y + \pgf@xc=.5\pgf@xa + \advance\pgf@xc by .5\pgf@xb + \pgf@yc=.5\pgf@ya + \advance\pgf@yc by .5\pgf@yb + \advance\pgf@xc by -\tqft@outerxsep\relax + \tqft@process{\the\pgf@xc}{\the\pgf@yc} +} +\anchor{east}{% + \tqft@start@incoming + \pgf@xa=\pgf@x + \pgfmathsetlength{\pgf@xa}{\pgf@xa + (\tqft@incoming - 1) * \tqft@separation} + \advance\pgf@xa by \tqft@width\relax + \pgf@ya=\pgf@y + \tqft@start@outgoing + \pgf@xb=\pgf@x + \pgfmathsetlength{\pgf@xb}{\pgf@xb + (\tqft@outgoing - 1) * \tqft@separation} + \advance\pgf@xb by \tqft@width\relax + \pgf@yb=\pgf@y + \pgf@xc=.5\pgf@xa + \advance\pgf@xc by .5\pgf@xb + \pgf@yc=.5\pgf@ya + \advance\pgf@yc by .5\pgf@yb + \advance\pgf@xc by \tqft@outerxsep\relax + \tqft@process{\the\pgf@xc}{\the\pgf@yc} +} +\anchor{north west}{ + \tqft@start@incoming + \pgf@xc=\pgf@x + \pgf@yc=\pgf@y + \advance\pgf@xc by -\tqft@width\relax + \advance\pgf@yc by \tqft@outerysep\relax + \advance\pgf@xc by -\tqft@outerxsep\relax + \tqft@process{\the\pgf@xc}{\the\pgf@yc} +} +\anchor{south west}{ + \tqft@start@outgoing + \pgf@xc=\pgf@x + \pgf@yc=\pgf@y + \advance\pgf@xc by -\tqft@width\relax + \advance\pgf@yc by -\tqft@outerysep\relax + \advance\pgf@xc by -\tqft@outerxsep\relax + \tqft@process{\the\pgf@xc}{\the\pgf@yc} +} +\anchor{north east}{ + \tqft@start@incoming + \pgf@xc=\pgf@x + \pgfmathsetlength{\pgf@xc}{\pgf@xc + (\tqft@incoming - 1)*\tqft@separation} + \pgf@yc=\pgf@y + \advance\pgf@xc by \tqft@width\relax + \advance\pgf@yc by \tqft@outerysep\relax + \advance\pgf@xc by \tqft@outerxsep\relax + \tqft@process{\the\pgf@xc}{\the\pgf@yc} +} +\anchor{south east}{ + \tqft@start@outgoing + \pgf@xc=\pgf@x + \pgfmathsetlength{\pgf@xc}{\pgf@xc + (\tqft@outgoing - 1)*\tqft@separation} + \pgf@yc=\pgf@y + \advance\pgf@xc by \tqft@width\relax + \advance\pgf@yc by -\tqft@outerysep\relax + \advance\pgf@xc by \tqft@outerxsep\relax + \tqft@process{\the\pgf@xc}{\the\pgf@yc} +} +% \end{macrocode} +% To define anchors at the boundary components requires a bit of trickery borrowed from the ``regular polygon'' shape. +% \begin{macrocode} +\expandafter\pgfutil@g@addto@macro\csname pgf@sh@s@tqft cobordism\endcsname{% + \c@pgf@counta\tqft@incoming\relax% + \pgfmathloop% + \ifnum\c@pgf@counta>0\relax% + \pgfutil@ifundefined{pgf@anchor@tqft cobordism@incoming boundary\space\the\c@pgf@counta}{% + \expandafter\xdef\csname pgf@anchor@tqft cobordism@incoming boundary\space\the\c@pgf@counta\endcsname{% + \noexpand\tqft@start@incoming + \noexpand\pgfmathsetlength{\noexpand\pgf@y}{\noexpand\pgf@y + \noexpand\tqft@outerysep} + \noexpand\pgfmathsetlength{\noexpand\pgf@x}{\noexpand\pgf@x + (\the\c@pgf@counta - 1) * \noexpand\tqft@separation} + \noexpand\tqft@process{\noexpand\the\noexpand\pgf@x}{\noexpand\the\noexpand\pgf@y} + } + }{\c@pgf@counta0\relax}% + \advance\c@pgf@counta-1\relax% + \repeatpgfmathloop% +} +\expandafter\pgfutil@g@addto@macro\csname pgf@sh@s@tqft cobordism\endcsname{% + \c@pgf@counta\tqft@outgoing\relax% + \pgfmathloop% + \ifnum\c@pgf@counta>0\relax% + \pgfutil@ifundefined{pgf@anchor@tqft cobordism@outgoing boundary\space\the\c@pgf@counta}{% + \expandafter\xdef\csname pgf@anchor@tqft cobordism@outgoing boundary\space\the\c@pgf@counta\endcsname{% + \noexpand\tqft@start@outgoing + \noexpand\pgfmathsetlength{\noexpand\pgf@y}{\noexpand\pgf@y - \noexpand\tqft@outerysep} + \noexpand\pgfmathsetlength{\noexpand\pgf@x}{\noexpand\pgf@x + (\the\c@pgf@counta - 1) * \noexpand\tqft@separation} + \noexpand\tqft@process{\noexpand\the\noexpand\pgf@x}{\noexpand\the\noexpand\pgf@y} + } + }{\c@pgf@counta0\relax}% + \advance\c@pgf@counta-1\relax% + \repeatpgfmathloop% +} +\expandafter\pgfutil@g@addto@macro\csname pgf@sh@s@tqft cobordism\endcsname{% + \c@pgf@counta\tqft@incoming\relax% + \advance\c@pgf@counta-1\relax + \pgfmathloop% + \ifnum\c@pgf@counta>0\relax% + \pgfutil@ifundefined{pgf@anchor@tqft cobordism@after incoming boundary\space\the\c@pgf@counta}{% + \expandafter\xdef\csname pgf@anchor@tqft cobordism@after incoming boundary\space\the\c@pgf@counta\endcsname{% + \noexpand\tqft@start@incoming + \noexpand\pgfmathsetlength{\noexpand\pgf@y}{.25 * \noexpand\pgf@y +.75 * \noexpand\tqft@control + \noexpand\tqft@outerysep} + \noexpand\pgfmathsetlength{\noexpand\pgf@x}{\noexpand\pgf@x + (\the\c@pgf@counta - .5) * \noexpand\tqft@separation} + \noexpand\tqft@process{\noexpand\the\noexpand\pgf@x}{\noexpand\the\noexpand\pgf@y} + } + }{\c@pgf@counta0\relax}% + \advance\c@pgf@counta-1\relax% + \repeatpgfmathloop% +} +\expandafter\pgfutil@g@addto@macro\csname pgf@sh@s@tqft cobordism\endcsname{% + \c@pgf@counta\tqft@outgoing\relax% + \advance\c@pgf@counta-1\relax + \pgfmathloop% + \ifnum\c@pgf@counta>0\relax% + \pgfutil@ifundefined{pgf@anchor@tqft cobordism@after outgoing boundary\space\the\c@pgf@counta}{% + \expandafter\xdef\csname pgf@anchor@tqft cobordism@after outgoing boundary\space\the\c@pgf@counta\endcsname{% + \noexpand\tqft@start@outgoing + \noexpand\pgfmathsetlength{\noexpand\pgf@y}{.25 * \noexpand\pgf@y -.75 * \noexpand\tqft@control - \noexpand\tqft@outerysep} + \noexpand\pgfmathsetlength{\noexpand\pgf@x}{\noexpand\pgf@x + (\the\c@pgf@counta - .5) * \noexpand\tqft@separation} + \noexpand\tqft@process{\noexpand\the\noexpand\pgf@x}{\noexpand\the\noexpand\pgf@y} + } + }{\c@pgf@counta0\relax}% + \advance\c@pgf@counta-1\relax% + \repeatpgfmathloop% +} +% \end{macrocode} +% Now we define the background path. +% This is the upper part of the cobordism. +% \begin{macrocode} + \backgroundpath{ +% \end{macrocode} +% Apply the internal transformation +% \begin{macrocode} + \let\tikz@transform=\pgfutil@empty + \expandafter\tikzset\expandafter{\tqft@transformation} + \tikz@transform +% \end{macrocode} +% Convert the boundary separation and width to lengths +% \begin{macrocode} + \pgfmathsetlength{\tqft@s}{\tqft@separation} + \pgfmathsetlength{\tqft@w}{2*\tqft@width} +% \end{macrocode} +% Compute the starting position of the incoming boundary components so that we get the centre anchor on the centre of the cobordism +% \begin{macrocode} +\tqft@start@incoming +\tqft@xa=\pgf@x + \advance\tqft@xa by -.5\tqft@w\relax +\tqft@h=\pgf@y + \tqft@xb=\tqft@xa + \advance\tqft@xb by \tqft@w\relax +\tqft@c=\tqft@control\relax +% \end{macrocode} +% Do we have any incoming boundary components at all? +% \begin{macrocode} + \ifnum\tqft@incoming>0 +% \end{macrocode} +% Yes, so move to the position of the first and draw it +% \begin{macrocode} + \pgfpathmoveto{\pgfqpoint{\tqft@xa}{\tqft@h}} + \pgfpatharc{\pgf@tqft@upper180}{0}{\tqft@width and \tqft@depth} +% \end{macrocode} +% Do we have any more incoming boundary components? +% \begin{macrocode} + \ifnum\tqft@incoming>1 +% \end{macrocode} +% Yes, so iterate over the remaining incoming boundary components +% \begin{macrocode} + \foreach \tqft@k in {2,...,\tqft@incoming} { + \advance\tqft@xa by \tqft@k\tqft@s + \advance\tqft@xb by \tqft@k\tqft@s + \advance\tqft@xb by -2\tqft@s + \advance\tqft@xa by -\tqft@s + \pgfpathcurveto{\pgfqpoint{\tqft@xb}{\tqft@c}}{\pgfqpoint{\tqft@xa}{\tqft@c}}{\pgfqpoint{\tqft@xa}{\tqft@h}} + \pgfpatharc{\pgf@tqft@upper180}{0}{\tqft@width and \tqft@depth} + } + \fi +% \end{macrocode} +% If we don't have any outgoing boundary components, may as well close up now. +% \begin{macrocode} + \ifnum\tqft@outgoing=0 + \advance\tqft@xb by \tqft@incoming\tqft@s + \advance\tqft@xb by -\tqft@s + \pgfmathsetlength{\tqft@ch}{min(0,max(-\tqft@h,\tqft@h - (\tqft@h - \tqft@c) * ((abs(\tqft@xb - \tqft@xa) - \tqft@w)/\tqft@s + 1)))} + \pgfpathcurveto{\pgfqpoint{\tqft@xb}{\tqft@ch}}{\pgfqpoint{\tqft@xa}{\tqft@ch}}{\pgfqpoint{\tqft@xa}{\tqft@h}} + \fi + \fi +% \end{macrocode} +% Shift down to the outgoing components, if we have any +% \begin{macrocode} + \ifnum\tqft@outgoing>0 + \advance\tqft@xb by \tqft@incoming\tqft@s + \advance\tqft@xb by -\tqft@s + \pgfmathsetlength{\tqft@xa}{\tqft@xa + (\tqft@outgoing - 1 + \tqft@offset) * \tqft@separation + 2*\tqft@width} +% \end{macrocode} +% If we had incoming boundaries, this is a curveto, otherwise it's a moveto +% \begin{macrocode} + \ifnum\tqft@incoming>0 + \pgfmathsetlength{\tqft@ch}{min(0,max(-\tqft@h,\tqft@h - (\tqft@h - \tqft@c) * ((abs(\tqft@xb - \tqft@xa) - \tqft@w)/\tqft@s + 1)))} + \pgfpathcurveto{\pgfqpoint{\tqft@xb}{\tqft@ch}}{\pgfqpoint{\tqft@xa}{-\tqft@ch}}{\pgfqpoint{\tqft@xa}{-\tqft@h}} + \else + \pgfpathmoveto{\pgfqpoint{\tqft@xa}{-\tqft@h}} + \fi + \tqft@xb=\tqft@xa + \advance\tqft@xb by -\tqft@w +% \end{macrocode} +% Now draw the lower components +% \begin{macrocode} + \pgfpatharc{0}{\pgf@tqft@upper180}{\tqft@width and \tqft@depth} +% \end{macrocode} +% Now iterate over the remaining outgoing boundary components +% \begin{macrocode} + \ifnum\tqft@outgoing>1 + \foreach \tqft@k in {2,...,\tqft@outgoing} { + \advance\tqft@xa by -\tqft@k\tqft@s + \advance\tqft@xb by -\tqft@k\tqft@s + \advance\tqft@xb by 2\tqft@s + \advance\tqft@xa by \tqft@s + \pgfpathcurveto{\pgfqpoint{\tqft@xb}{-\tqft@c}}{\pgfqpoint{\tqft@xa}{-\tqft@c}}{\pgfqpoint{\tqft@xa}{-\tqft@h}} + \pgfpatharc{0}{\pgf@tqft@upper180}{\tqft@width and \tqft@depth} + } + \fi +% \end{macrocode} +% Shift back up to the incoming components, if we had any, otherwise arc back to our starting point +% \begin{macrocode} + \advance\tqft@xb by -\tqft@outgoing\tqft@s + \advance\tqft@xb by \tqft@s + \ifnum\tqft@incoming>0 + \pgfmathsetlength{\tqft@xa}{\tqft@xa - (\tqft@outgoing -1 + \tqft@offset) * \tqft@separation - 2*\tqft@width} + \pgfmathsetlength{\tqft@ch}{min(0,max(-\tqft@h,\tqft@h - (\tqft@h - \tqft@c) * ((abs(\tqft@xb - \tqft@xa) - \tqft@w)/\tqft@s + 1)))} + \pgfpathcurveto{\pgfqpoint{\tqft@xb}{-\tqft@ch}}{\pgfqpoint{\tqft@xa}{\tqft@ch}}{\pgfqpoint{\tqft@xa}{\tqft@h}} + \else + \pgfmathsetlength{\tqft@ch}{min(0,max(-\tqft@h,\tqft@h - (\tqft@h - \tqft@c) * ((abs(\tqft@xb - \tqft@xa) - \tqft@w)/\tqft@s + 1)))} + \pgfpathcurveto{\pgfqpoint{\tqft@xb}{-\tqft@ch}}{\pgfqpoint{\tqft@xa}{-\tqft@ch}}{\pgfqpoint{\tqft@xa}{-\tqft@h}} + \fi + \fi +% \end{macrocode} +% Close the path +% \begin{macrocode} + \pgfpathclose + } +% \end{macrocode} +% End of background path +% Now we define the behind background path. +% This is the lower part of the boundary circles. +% \begin{macrocode} + \behindbackgroundpath{ +% \end{macrocode} +% Apply the internal transformation +% \begin{macrocode} + \let\tikz@transform=\pgfutil@empty + \expandafter\tikzset\expandafter{\tqft@transformation} + \tikz@transform +% \end{macrocode} +% Convert the boundary separation and width to lengths +% \begin{macrocode} + \pgfmathsetlength{\tqft@s}{\tqft@separation} + \pgfmathsetlength{\tqft@w}{2*\tqft@width} +% \end{macrocode} +% Compute the starting position of the incoming boundary components so that we get the centre anchor on the centre of the cobordism +% \begin{macrocode} + \pgfmathsetlength{\tqft@xa}{-(max(\tqft@incoming - 1,\tqft@outgoing - 1 + \tqft@offset) + min(0,\tqft@offset) + 2)*\tqft@separation/2} + \pgfmathsetlength{\tqft@h}{.5 * \tqft@height} +% \end{macrocode} +% This section draws the boundary circles +% \begin{macrocode} + { +% \end{macrocode} +% Initialise the TikZ path settings and read in the style options for the boundary +% \begin{macrocode} + \tikz@mode@fillfalse% + \tikz@mode@drawfalse% + \let\tikz@mode=\pgfutil@empty + \let\tikz@options=\pgfutil@empty + \tqftset{boundary style contents} + \tikz@mode + \tikz@options +% \end{macrocode} +% Do we have any incoming boundary components at all? +% \begin{macrocode} + \ifnum\tqft@incoming>0 +% \end{macrocode} +% Yes, so iterate over them +% \begin{macrocode} + \foreach \tqft@k in {1,...,\tqft@incoming} { + \advance\tqft@xa by \tqft@k\tqft@s + \pgfpathellipse{\pgfqpoint{\tqft@xa}{\tqft@h}}{\pgfqpoint{\tqft@width}{0pt}}{\pgfqpoint{0pt}{\tqft@depth}} + } + \fi +% \end{macrocode} +% Now iterate over the outgoing boundary components, if we have any +% \begin{macrocode} + \ifnum\tqft@outgoing>0 + \pgfmathsetlength{\tqft@xa}{\tqft@xa + (\tqft@outgoing + \tqft@offset + 1) * \tqft@separation} + \foreach \tqft@k in {1,...,\tqft@outgoing} { + \advance\tqft@xa by -\tqft@k\tqft@s +% \advance\tqft@xa by \tqft@s + \pgfpathellipse{\pgfqpoint{\tqft@xa}{-\tqft@h}}{\pgfqpoint{\tqft@width}{0pt}}{\pgfqpoint{0pt}{\tqft@depth}} + } + \fi +% \end{macrocode} +% \begin{macrocode} + \edef\tikz@temp{\noexpand\pgfusepath{% + \iftikz@mode@fill fill,\fi% + \iftikz@mode@draw draw\fi% + }}% + \tikz@temp + } +% \end{macrocode} +% This section draws the lower parts of the boundary circles +% \begin{macrocode} + { +% \end{macrocode} +% Initialise the TikZ path settings and read in the style options for the boundary +% \begin{macrocode} + \tikz@mode@fillfalse% + \tikz@mode@drawfalse% + \let\tikz@mode=\pgfutil@empty + \let\tikz@options=\pgfutil@empty + \tqftset{boundary lower style contents} + \tikz@mode + \tikz@options + \advance\tqft@xa by .5\tqft@w +% \end{macrocode} +% Do we have any incoming boundary components at all? +% \begin{macrocode} + \ifnum\tqft@incoming>0 +% \end{macrocode} +% Yes, so iterate over them +% \begin{macrocode} + \foreach \tqft@k in {1,...,\tqft@incoming} { + \advance\tqft@xa by \tqft@k\tqft@s + \pgfpathmoveto{\pgfqpoint{\tqft@xa}{\tqft@h}} + \pgfpatharc{0}{\pgf@tqft@lower180}{\tqft@width and \tqft@depth} + } + \fi +% \end{macrocode} +% Now iterate over the outgoing boundary components, if we have any +% \begin{macrocode} + \ifnum\tqft@outgoing>0 + \pgfmathsetlength{\tqft@xa}{\tqft@xa + (\tqft@outgoing + \tqft@offset + 1) * \tqft@separation} + \foreach \tqft@k in {1,...,\tqft@outgoing} { + \advance\tqft@xa by -\tqft@k\tqft@s +% \advance\tqft@xa by \tqft@s + \pgfpathmoveto{\pgfqpoint{\tqft@xa}{-\tqft@h}} + \pgfpatharc{0}{\pgf@tqft@lower180}{\tqft@width and \tqft@depth} + } + \fi +% \end{macrocode} +% \begin{macrocode} + \edef\tikz@temp{\noexpand\pgfusepath{% + \iftikz@mode@fill fill,\fi% + \iftikz@mode@draw draw\fi% + }}% + \tikz@temp + } + } +% \end{macrocode} +% End of behind background path. +% +% Now we define the before background path. +% This is the upper part of the boundary circles and the cobordism edge. +% \begin{macrocode} + \beforebackgroundpath{ +% \end{macrocode} +% We \emph{don't} apply the internal transformation as it is already in place from the \Verb+\backgroundpath+. +% Convert the boundary separation and width to lengths +% \begin{macrocode} + \pgfmathsetlength{\tqft@s}{\tqft@separation} + \pgfmathsetlength{\tqft@w}{2*\tqft@width} +% \end{macrocode} +% Compute the starting position of the incoming boundary components so that we get the centre anchor on the centre of the cobordism +% \begin{macrocode} + \pgfmathsetlength{\tqft@xa}{-(max(\tqft@incoming - 1,\tqft@outgoing - 1 + \tqft@offset) + min(0,\tqft@offset))*\tqft@s/2 - \tqft@width} + \tqft@xb=\tqft@xa + \advance\tqft@xb by \tqft@w +\tqft@c=\tqft@control\relax + \pgfmathsetlength{\tqft@h}{.5 * \tqft@height} +% \end{macrocode} +% This section draws the non-boundary part of the cobordism. +% \begin{macrocode} + { +% \end{macrocode} +% Initialise the TikZ path settings and read in the style options for the boundary +% \begin{macrocode} + \tikz@mode@fillfalse% + \tikz@mode@drawfalse% + \let\tikz@mode=\pgfutil@empty + \let\tikz@options=\pgfutil@empty + \tqftset{cobordism style contents} + \tikz@mode + \tikz@options +% Do we have any incoming boundary components at all? +% \begin{macrocode} + \ifnum\tqft@incoming>0 +% \end{macrocode} +% Do we have more than one? +% \begin{macrocode} + \ifnum\tqft@incoming>1 +% \end{macrocode} +% Yes, so iterate over the remaining incoming boundary components +% \begin{macrocode} + \foreach \tqft@k in {2,...,\tqft@incoming} { + \advance\tqft@xa by \tqft@k\tqft@s + \advance\tqft@xb by \tqft@k\tqft@s + \advance\tqft@xb by -2\tqft@s + \advance\tqft@xa by -\tqft@s + \pgfpathmoveto{\pgfqpoint{\tqft@xb}{\tqft@h}} + \pgfpathcurveto{\pgfqpoint{\tqft@xb}{\tqft@c}}{\pgfqpoint{\tqft@xa}{\tqft@c}}{\pgfqpoint{\tqft@xa}{\tqft@h}} + } + \fi +% \end{macrocode} +% If we don't have any outgoing boundary components, may as well close up now. +% \begin{macrocode} + \ifnum\tqft@outgoing=0 + \advance\tqft@xb by \tqft@incoming\tqft@s + \advance\tqft@xb by -\tqft@s + \pgfmathsetlength{\tqft@ch}{min(0,max(-\tqft@h,\tqft@h - (\tqft@h - \tqft@c) * ((abs(\tqft@xb - \tqft@xa) - \tqft@w)/\tqft@s + 1)))} + \pgfpathmoveto{\pgfqpoint{\tqft@xb}{\tqft@h}} + \pgfpathcurveto{\pgfqpoint{\tqft@xb}{\tqft@ch}}{\pgfqpoint{\tqft@xa}{\tqft@ch}}{\pgfqpoint{\tqft@xa}{\tqft@h}} + \fi + \fi +% \end{macrocode} +% Shift down to the outgoing components, if we have any +% \begin{macrocode} + \ifnum\tqft@outgoing>0 + \advance\tqft@xb by \tqft@incoming\tqft@s + \advance\tqft@xb by -\tqft@s + \pgfmathsetlength{\tqft@xa}{\tqft@xa + (\tqft@outgoing - 1 + \tqft@offset) * \tqft@separation + 2*\tqft@width} +% \end{macrocode} +% If we had incoming boundaries, this is a curveto, otherwise it's a moveto +% \begin{macrocode} + \ifnum\tqft@incoming>0 + \pgfmathsetlength{\tqft@ch}{min(0,max(-\tqft@h,\tqft@h - (\tqft@h - \tqft@c) * ((abs(\tqft@xb - \tqft@xa) - \tqft@w)/\tqft@s + 1)))} + \pgfpathmoveto{\pgfqpoint{\tqft@xb}{\tqft@h}} + \pgfpathcurveto{\pgfqpoint{\tqft@xb}{\tqft@ch}}{\pgfqpoint{\tqft@xa}{-\tqft@ch}}{\pgfqpoint{\tqft@xa}{-\tqft@h}} + \else + \pgfpathmoveto{\pgfqpoint{\tqft@xa}{-\tqft@h}} + \fi + \tqft@xb=\tqft@xa + \advance\tqft@xb by -\tqft@w +% \end{macrocode} +% Now draw the lower components +% \begin{macrocode} + \pgfpathmoveto{\pgfqpoint{\tqft@xb}{-\tqft@h}} +% \end{macrocode} +% Now iterate over the remaining outgoing boundary components +% \begin{macrocode} + \ifnum\tqft@outgoing>1 + \foreach \tqft@k in {2,...,\tqft@outgoing} { + \advance\tqft@xa by -\tqft@k\tqft@s + \advance\tqft@xb by -\tqft@k\tqft@s + \advance\tqft@xb by 2\tqft@s + \advance\tqft@xa by \tqft@s + \pgfpathcurveto{\pgfqpoint{\tqft@xb}{-\tqft@c}}{\pgfqpoint{\tqft@xa}{-\tqft@c}}{\pgfqpoint{\tqft@xa}{-\tqft@h}} + \advance\tqft@xa by -\tqft@w + \pgfpathmoveto{\pgfqpoint{\tqft@xa}{-\tqft@h}} + } + \fi +% \end{macrocode} +% Shift back up to the incoming components, if we had any, otherwise arc back to our starting point +% \begin{macrocode} + \advance\tqft@xb by -\tqft@outgoing\tqft@s + \advance\tqft@xb by \tqft@s + \ifnum\tqft@incoming>0 + \pgfmathsetlength{\tqft@xa}{\tqft@xa - (\tqft@outgoing -1 + \tqft@offset) * \tqft@separation - 2*\tqft@width} + \pgfmathsetlength{\tqft@ch}{min(0,max(-\tqft@h,\tqft@h - (\tqft@h - \tqft@c) * ((abs(\tqft@xb - \tqft@xa) - \tqft@w)/\tqft@s + 1)))} + \pgfpathcurveto{\pgfqpoint{\tqft@xb}{-\tqft@ch}}{\pgfqpoint{\tqft@xa}{\tqft@ch}}{\pgfqpoint{\tqft@xa}{\tqft@h}} + \else + \pgfmathsetlength{\tqft@ch}{min(0,max(-\tqft@h,\tqft@h - (\tqft@h - \tqft@c) * ((abs(\tqft@xb - \tqft@xa) - \tqft@w)/\tqft@s + 1)))} + \pgfpathcurveto{\pgfqpoint{\tqft@xb}{-\tqft@ch}}{\pgfqpoint{\tqft@xa}{-\tqft@ch}}{\pgfqpoint{\tqft@xa}{-\tqft@h}} + \fi + \fi + \edef\tikz@temp{\noexpand\pgfusepath{% + \iftikz@mode@fill fill,\fi% + \iftikz@mode@draw draw\fi% + }}% + \tikz@temp +} +% \end{macrocode} +% This section draws the upper parts of the boundary circles +% \begin{macrocode} + { +% \end{macrocode} +% Initialise the TikZ path settings and read in the style options for the boundary +% \begin{macrocode} +\let\tqft@bdry@path=\pgfutil@empty +\let\tqft@bdry@node@path=\pgfutil@empty +\pgfsyssoftpath@setcurrentpath{\tqft@bdry@path} + \tikz@mode@fillfalse% + \tikz@mode@drawfalse% + \let\tikz@mode=\pgfutil@empty + \let\tikz@options=\pgfutil@empty + \tqftset{boundary upper style contents} + \tikz@mode + \tikz@options + \advance\tqft@xa by -\tqft@s + \advance\tqft@xa by \tqft@w +% \end{macrocode} +% Do we have any incoming boundary components at all? +% \begin{macrocode} + \ifnum\tqft@incoming>0 +% \end{macrocode} +% Yes, so iterate over them +% \begin{macrocode} + \foreach \tqft@k in {1,...,\tqft@incoming} { + \advance\tqft@xa by \tqft@k\tqft@s + \pgfpathmoveto{\pgfqpoint{\tqft@xa}{\tqft@h}} + \pgfpatharc{0}{\pgf@tqft@upper180}{\tqft@width and \tqft@depth} + \ifx\tikz@fig@name\pgfutil@empty + \else + { + \advance\tqft@xa by -\tqft@width + \pgftransformshift{\pgfqpoint{\tqft@xa}{\tqft@h}} + \tqft@within@nodetrue + \pgfsyssoftpath@getcurrentpath{\tqft@bdry@path} + \pgfsyssoftpath@setcurrentpath{\tqft@bdry@node@path} + \pgfnode{tqft boundary circle}{centre}{}{\tikz@fig@name\space incoming \tqft@k}{} + \pgfsyssoftpath@getcurrentpath{\tqft@bdry@node@path} + \pgfsyssoftpath@setcurrentpath{\tqft@bdry@path} + } + \fi + } + \fi +% \end{macrocode} +% Now iterate over the outgoing boundary components, if we have any +% \begin{macrocode} + \ifnum\tqft@outgoing>0 + \pgfmathsetlength{\tqft@xa}{\tqft@xa + (\tqft@outgoing + \tqft@offset + 1) * \tqft@separation} + \foreach \tqft@k in {1,...,\tqft@outgoing} { + \advance\tqft@xa by -\tqft@k\tqft@s +% \advance\tqft@xa by \tqft@s + \pgfpathmoveto{\pgfqpoint{\tqft@xa}{-\tqft@h}} + \pgfpatharc{0}{\pgf@tqft@upper180}{\tqft@width and \tqft@depth} + \ifx\tikz@fig@name\pgfutil@empty + \else + { + \pgfmathtruncatemacro{\tqft@l}{\tqft@outgoing + 1 - \tqft@k} + \advance\tqft@xa by -\tqft@width + \pgftransformshift{\pgfqpoint{\tqft@xa}{-\tqft@h}} + \tqft@within@nodetrue + \pgfsyssoftpath@getcurrentpath{\tqft@bdry@path} + \pgfsyssoftpath@setcurrentpath{\tqft@bdry@node@path} + \pgfnode{tqft boundary circle}{centre}{}{\tikz@fig@name\space outgoing \tqft@l}{} + \pgfsyssoftpath@getcurrentpath{\tqft@bdry@node@path} + \pgfsyssoftpath@setcurrentpath{\tqft@bdry@path} + } + \fi + } + \fi +% \end{macrocode} +% \begin{macrocode} + \edef\tikz@temp{\noexpand\pgfusepath{% + \iftikz@mode@fill fill,\fi% + \iftikz@mode@draw draw\fi% + }}% + \tikz@temp + } + } +} +% \end{macrocode} +% \end{macro} +% +% \begin{macro}{boundary circle shape} +% This is a the shape of the boundary circles +% \begin{macrocode} +\pgfdeclareshape{tqft boundary circle}{ +% \end{macrocode} +% Now we save our dimensions: height, separation, and the radii of the boundary circles +% \begin{macrocode} + \saveddimen{\tqft@height}{\pgf@x=\pgfkeysvalueof{/pgf/tqft/cobordism height}} + \saveddimen{\tqft@separation}{\pgf@x=\pgfkeysvalueof{/pgf/tqft/boundary separation}} + \saveddimen{\tqft@width}{\pgf@x=\pgfkeysvalueof{/pgf/tqft/circle width}} + \saveddimen{\tqft@depth}{\pgf@x=\pgfkeysvalueof{/pgf/tqft/circle depth}} +% \end{macrocode} +% +% For the externally available anchors, we need to save the declared transformation; we save the actual transformation, not the macro that points to it. +% If we're called within the main cobordism shape, the transformation is already applied so we ignore it. +% \begin{macrocode} + \savedmacro{\tqft@transformation}{% + \iftqft@within@node + \let\tqft@transformation=\pgfutil@empty + \else + \pgfkeysgetvalue{/pgf/tqft/flow transformation}{\tqft@transformation} + \fi +} +% \end{macrocode} +% \begin{macrocode} + \savedanchor{\tqft@centre}{% + \pgfpointorigin} +% \end{macrocode} +% For completeness, we record the size of the text box (not that we expect any text, but you never know) +% \begin{macrocode} +\savedanchor{\tqft@textsize}{% + \pgf@y=-.5\ht\pgfnodeparttextbox% + \pgf@x=-.5\wd\pgfnodeparttextbox% +} +% \end{macrocode} +% These are our externally available anchors +% \begin{macrocode} + \anchor{centre}{\tqft@centre} + \anchor{center}{\tqft@centre} +\anchor{text}{ + \tqft@textsize +} + \anchor{next}{% + \tqft@process{\tqft@separation}{0pt}}% +% \end{macrocode} +% \begin{macrocode} + \anchor{prior}{% + \tqft@process{-\tqft@separation}{0pt}}% +% \end{macrocode} +% \begin{macrocode} + \anchor{above}{% + \tqft@process{0pt}{\tqft@height}}% +% \end{macrocode} +% \begin{macrocode} + \anchor{below}{% + \tqft@process{0pt}{-\tqft@height}}% +% \end{macrocode} +% The anchor border is the ellipse, but we need to take into account the possible transformation. +% (This isn't right if the origin is shifted.) +% At the moment, '0 degrees' is interpreted in the transformed coordinate system. +% Should provide a system whereby that can be intepreted in the main coordinate system. +% \begin{macrocode} + \anchorborder{ +% \end{macrocode} +% This next \Verb+\pgf@process+ makes the angles absolute. +% Comment it out to make the angles relative. +% \begin{macrocode} + \tqft@process{\the\pgf@x}{\the\pgf@y} + \edef\tqft@marshal{% + \noexpand\pgfpointborderellipse + {\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}} + {\noexpand\pgfqpoint{\tqft@width}{\tqft@depth}} + }% + \tqft@marshal + \tqft@process{\the\pgf@x}{\the\pgf@y} +} +% \end{macrocode} +% Now we define the background path. +% This is the upper part of the cobordism. +% \begin{macrocode} + \backgroundpath{ +% \end{macrocode} +% Apply the internal transformation if we're not within a node +% \begin{macrocode} + \let\tikz@transform=\pgfutil@empty + \expandafter\tikzset\expandafter{\tqft@transformation} + \tikz@transform +% \end{macrocode} +% Draw the boundary circle +% \begin{macrocode} + \pgfpathellipse{\pgfqpoint{0pt}{0pt}}{\pgfqpoint{\tqft@width}{0pt}}{\pgfqpoint{0pt}{\tqft@depth}} + } +% \end{macrocode} +% We draw the upper and lower arcs again with the appropriate styles +% \begin{macrocode} + \beforebackgroundpath{ + \iftqft@within@node + \else + \tikz@mode@fillfalse% + \tikz@mode@drawfalse% + \let\tikz@mode=\pgfutil@empty + \let\tikz@options=\pgfutil@empty + { + \pgfsys@beginscope + \tqftset{boundary lower style contents} + \tikz@mode + \tikz@options + \pgfpathmoveto{\pgfqpoint{\tqft@width}{0pt}} + \pgfpatharc{0}{\pgf@tqft@lower180}{\tqft@width and \tqft@depth} + \edef\tikz@temp{\noexpand\pgfusepath{% + \iftikz@mode@fill fill,\fi% + \iftikz@mode@draw draw\fi% + }}% + \tikz@temp + \pgfsys@endscope + } + { + \pgfsys@beginscope + \tqftset{boundary upper style contents} + \tikz@mode + \tikz@options + \pgfpathmoveto{\pgfqpoint{\tqft@width}{0pt}} + \pgfpatharc{0}{\pgf@tqft@upper180}{\tqft@width and \tqft@depth} + \edef\tikz@temp{\noexpand\pgfusepath{% + \iftikz@mode@fill fill,\fi% + \iftikz@mode@draw draw\fi% + }}% + \tikz@temp + \pgfsys@endscope + } + \fi + } + } +% \end{macrocode} +% \end{macro} +% \iffalse +%</package> +% \fi +% +% \Finale + +\endinput |