diff options
author | Karl Berry <karl@freefriends.org> | 2011-10-02 23:03:46 +0000 |
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committer | Karl Berry <karl@freefriends.org> | 2011-10-02 23:03:46 +0000 |
commit | af940299969ece442832d1700f8359006f70dff7 (patch) | |
tree | a94f207db432534918f3d4ddecfd51f9f45a617d /Master/texmf-dist/tex | |
parent | f2e64dc85c57c00dc715e42fef686c3bec7e7188 (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')
-rw-r--r-- | Master/texmf-dist/tex/latex/tqft/tqft.sty | 753 |
1 files changed, 753 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/tqft/tqft.sty b/Master/texmf-dist/tex/latex/tqft/tqft.sty new file mode 100644 index 00000000000..490c95867b2 --- /dev/null +++ b/Master/texmf-dist/tex/latex/tqft/tqft.sty @@ -0,0 +1,753 @@ +%% +%% 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'. |