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authorKarl Berry <karl@freefriends.org>2011-10-02 23:03:46 +0000
committerKarl Berry <karl@freefriends.org>2011-10-02 23:03:46 +0000
commitaf940299969ece442832d1700f8359006f70dff7 (patch)
treea94f207db432534918f3d4ddecfd51f9f45a617d /Master/texmf-dist/tex/latex/tqft/tqft.sty
parentf2e64dc85c57c00dc715e42fef686c3bec7e7188 (diff)
new tikz package tqft (1oct11)
git-svn-id: svn://tug.org/texlive/trunk@24169 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex/latex/tqft/tqft.sty')
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diff --git a/Master/texmf-dist/tex/latex/tqft/tqft.sty b/Master/texmf-dist/tex/latex/tqft/tqft.sty
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+%%
+%% This is file `tqft.sty',
+%% generated with the docstrip utility.
+%%
+%% The original source files were:
+%%
+%% tqft.dtx (with options: `package')
+%% ----------------------------------------------------------------
+%% 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
+%% ----------------------------------------------------------------
+%%
+\NeedsTeXFormat{LaTeX2e}
+\ProvidesPackage{tqft}[2011/05/03 v1.0 Tikz/PGF commands for drawing TQFT diagrams]
+\RequirePackage{pgfkeys}
+\RequirePackage{pgf}
+\def\pgf@tqft@minus{-}
+\let\pgf@tqft@upper\@empty
+\let\pgf@tqft@lower\pgf@tqft@minus
+\def\tqftset#1{\pgfkeys{/pgf/tqft/.cd,#1}}
+\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}}
+ }
+}
+\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
+\pgfkeys{
+ /tikz/tqft/.style={%
+ /tikz/shape=tqft cobordism,
+ /pgf/tqft,
+ /tikz/every tqft
+ },
+ /pgf/tqft/.unknown/.code={%
+ \let\tqft@searchname=\pgfkeyscurrentname%
+ \pgfkeysalso{%
+ /tikz/\tqft@searchname=#1
+ }
+ },
+ /tikz/every tqft/.style={},
+ /tikz/tqft/.unknown/.code={%
+ \let\tqft@searchname=\pgfkeyscurrentname%
+ \pgfkeysalso{%
+ /pgf/tqft/\tqft@searchname=#1
+ }
+ },
+ /pgf/tqft/.is family,
+ /pgf/tqft,
+ boundary circle/.style={
+ /tikz/shape=tqft boundary circle
+ },
+ incoming boundary components/.initial=5,
+ outgoing boundary components/.initial=4,
+ offset/.initial=0,
+ cobordism height/.initial=2cm,
+ boundary separation/.initial=2cm,
+ circle width/.initial=10pt,
+ circle depth/.initial=5pt,
+ outer xsep/.initial=0pt,
+ outer ysep/.initial=0pt,
+ outer sep/.style={
+ outer xsep=#1,
+ outer ysep=#1
+ },
+ 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={},
+ 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
+ },
+ 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%
+ }
+ }
+ },
+ 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,
+ },
+}
+\pgfdeclareshape{tqft cobordism}{
+ \savedmacro{\tqft@incoming}{\edef\tqft@incoming{\pgfkeysvalueof{/pgf/tqft/incoming boundary components}}}
+ \savedmacro{\tqft@outgoing}{\edef\tqft@outgoing{\pgfkeysvalueof{/pgf/tqft/outgoing boundary components}}}
+ \savedmacro{\tqft@offset}{\edef\tqft@offset{\pgfkeysvalueof{/pgf/tqft/offset}}}
+ \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}
+}
+ \savedmacro{\tqft@transformation}{%
+ \pgfkeysgetvalue{/pgf/tqft/flow transformation}{\tqft@transformation}
+}
+ \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}}
+}
+ \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}}
+}
+\savedanchor{\tqft@textsize}{%
+ \pgf@y=-.5\ht\pgfnodeparttextbox%
+ \pgf@x=-.5\wd\pgfnodeparttextbox%
+}
+ \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}
+}
+\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%
+}
+ \backgroundpath{
+ \let\tikz@transform=\pgfutil@empty
+ \expandafter\tikzset\expandafter{\tqft@transformation}
+ \tikz@transform
+ \pgfmathsetlength{\tqft@s}{\tqft@separation}
+ \pgfmathsetlength{\tqft@w}{2*\tqft@width}
+\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
+ \ifnum\tqft@incoming>0
+ \pgfpathmoveto{\pgfqpoint{\tqft@xa}{\tqft@h}}
+ \pgfpatharc{\pgf@tqft@upper180}{0}{\tqft@width and \tqft@depth}
+ \ifnum\tqft@incoming>1
+ \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
+ \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
+ \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}
+ \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
+ \pgfpatharc{0}{\pgf@tqft@upper180}{\tqft@width and \tqft@depth}
+ \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
+ \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
+ \pgfpathclose
+ }
+ \behindbackgroundpath{
+ \let\tikz@transform=\pgfutil@empty
+ \expandafter\tikzset\expandafter{\tqft@transformation}
+ \tikz@transform
+ \pgfmathsetlength{\tqft@s}{\tqft@separation}
+ \pgfmathsetlength{\tqft@w}{2*\tqft@width}
+ \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}
+ {
+ \tikz@mode@fillfalse%
+ \tikz@mode@drawfalse%
+ \let\tikz@mode=\pgfutil@empty
+ \let\tikz@options=\pgfutil@empty
+ \tqftset{boundary style contents}
+ \tikz@mode
+ \tikz@options
+ \ifnum\tqft@incoming>0
+ \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
+ \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
+ \pgfpathellipse{\pgfqpoint{\tqft@xa}{-\tqft@h}}{\pgfqpoint{\tqft@width}{0pt}}{\pgfqpoint{0pt}{\tqft@depth}}
+ }
+ \fi
+ \edef\tikz@temp{\noexpand\pgfusepath{%
+ \iftikz@mode@fill fill,\fi%
+ \iftikz@mode@draw draw\fi%
+ }}%
+ \tikz@temp
+ }
+ {
+ \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
+ \ifnum\tqft@incoming>0
+ \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
+ \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
+ \pgfpathmoveto{\pgfqpoint{\tqft@xa}{-\tqft@h}}
+ \pgfpatharc{0}{\pgf@tqft@lower180}{\tqft@width and \tqft@depth}
+ }
+ \fi
+ \edef\tikz@temp{\noexpand\pgfusepath{%
+ \iftikz@mode@fill fill,\fi%
+ \iftikz@mode@draw draw\fi%
+ }}%
+ \tikz@temp
+ }
+ }
+ \beforebackgroundpath{
+ \pgfmathsetlength{\tqft@s}{\tqft@separation}
+ \pgfmathsetlength{\tqft@w}{2*\tqft@width}
+ \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}
+ {
+ \tikz@mode@fillfalse%
+ \tikz@mode@drawfalse%
+ \let\tikz@mode=\pgfutil@empty
+ \let\tikz@options=\pgfutil@empty
+ \tqftset{cobordism style contents}
+ \tikz@mode
+ \tikz@options
+ \ifnum\tqft@incoming>0
+ \ifnum\tqft@incoming>1
+ \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
+ \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
+ \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}
+ \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
+ \pgfpathmoveto{\pgfqpoint{\tqft@xb}{-\tqft@h}}
+ \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
+ \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
+}
+ {
+\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
+ \ifnum\tqft@incoming>0
+ \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
+ \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
+ \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
+ \edef\tikz@temp{\noexpand\pgfusepath{%
+ \iftikz@mode@fill fill,\fi%
+ \iftikz@mode@draw draw\fi%
+ }}%
+ \tikz@temp
+ }
+ }
+}
+\pgfdeclareshape{tqft boundary circle}{
+ \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}}
+ \savedmacro{\tqft@transformation}{%
+ \iftqft@within@node
+ \let\tqft@transformation=\pgfutil@empty
+ \else
+ \pgfkeysgetvalue{/pgf/tqft/flow transformation}{\tqft@transformation}
+ \fi
+}
+ \savedanchor{\tqft@centre}{%
+ \pgfpointorigin}
+\savedanchor{\tqft@textsize}{%
+ \pgf@y=-.5\ht\pgfnodeparttextbox%
+ \pgf@x=-.5\wd\pgfnodeparttextbox%
+}
+ \anchor{centre}{\tqft@centre}
+ \anchor{center}{\tqft@centre}
+\anchor{text}{
+ \tqft@textsize
+}
+ \anchor{next}{%
+ \tqft@process{\tqft@separation}{0pt}}%
+ \anchor{prior}{%
+ \tqft@process{-\tqft@separation}{0pt}}%
+ \anchor{above}{%
+ \tqft@process{0pt}{\tqft@height}}%
+ \anchor{below}{%
+ \tqft@process{0pt}{-\tqft@height}}%
+ \anchorborder{
+ \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}
+}
+ \backgroundpath{
+ \let\tikz@transform=\pgfutil@empty
+ \expandafter\tikzset\expandafter{\tqft@transformation}
+ \tikz@transform
+ \pgfpathellipse{\pgfqpoint{0pt}{0pt}}{\pgfqpoint{\tqft@width}{0pt}}{\pgfqpoint{0pt}{\tqft@depth}}
+ }
+ \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
+ }
+ }
+
+%%
+%% 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.
+%%
+%%
+%% End of file `tqft.sty'.