summaryrefslogtreecommitdiff
path: root/Master/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex
diff options
context:
space:
mode:
authorKarl Berry <karl@freefriends.org>2008-02-23 00:49:54 +0000
committerKarl Berry <karl@freefriends.org>2008-02-23 00:49:54 +0000
commit4fc1af1461e934c39f8f5e10d5d8788681d82223 (patch)
tree7716e8a3e8787a3d11c5ce728d21b808f786ce7d /Master/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex
parent6f5a4edf390b6e05291d7a4b816782b14122a205 (diff)
tikz/pgf 2.0 first attempt (22feb08)
git-svn-id: svn://tug.org/texlive/trunk@6741 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex')
-rw-r--r--Master/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex3909
1 files changed, 3909 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex b/Master/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex
new file mode 100644
index 00000000000..cb8ad420ea8
--- /dev/null
+++ b/Master/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex
@@ -0,0 +1,3909 @@
+% Copyright 2006 by Till Tantau
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+%
+% See the file doc/generic/pgf/licenses/LICENSE for more details.
+
+\ProvidesPackageRCS[v\pgfversion] $Header: /cvsroot/pgf/pgf/generic/pgf/frontendlayer/tikz/tikz.code.tex,v 1.27 2008/02/13 19:48:11 tantau Exp $
+
+
+% Always-present libraries:
+
+\usepgflibrary{plothandlers}
+
+% TikZ is a key family
+\pgfkeys{/tikz/.is family}
+
+\def\tikzset{\pgfqkeys{/tikz}}
+
+
+\newdimen\tikz@lastx
+\newdimen\tikz@lasty
+\newdimen\tikz@lastxsaved
+\newdimen\tikz@lastysaved
+
+\newdimen\tikzleveldistance
+\newdimen\tikzsiblingdistance
+
+\newbox\tikz@figbox
+\newbox\tikz@tempbox
+
+\newcount\tikztreelevel
+\newcount\tikznumberofchildren
+\newcount\tikznumberofcurrentchild
+
+\newcount\tikz@fig@count
+
+\newif\iftikz@node@is@a@label
+\newif\iftikz@snaked
+\newif\iftikz@decoratepath
+
+\let\tikz@options=\pgfutil@empty
+\def\tikz@addoption#1{\expandafter\def\expandafter\tikz@options\expandafter{\tikz@options#1}}
+\def\tikz@addmode#1{\expandafter\def\expandafter\tikz@mode\expandafter{\tikz@mode#1}}
+\def\tikz@addtransform#1{%
+ \ifx\tikz@transform\relax%
+ #1%
+ \else%
+ \expandafter\def\expandafter\tikz@transform\expandafter{\tikz@transform#1}%
+ \fi%
+}
+
+
+
+% TikZ options:
+
+% This command is supported for compatibility only:
+
+\def\tikzoption#1{\pgfutil@ifnextchar[{\tikzoption@opt{#1}}{\tikzoption@noopt{#1}}}%}
+
+\def\tikzoption@opt#1[#2]#3{\pgfkeysdef{/tikz/#1}{#3}\pgfkeyssetvalue{/tikz/#1/.@def}{#2}}
+\def\tikzoption@noopt#1#2{\pgfkeysdef{/tikz/#1}{#2}\pgfkeyssetvalue{/tikz/#1/.@def}{\pgfkeysvaluerequired}}
+
+% Baseline options
+\tikzoption{baseline}[0pt]{\pgfutil@ifnextchar({\tikz@baseline@coordinate}{\tikz@baseline@simple}#1\@nil}%)
+\def\tikz@baseline@simple#1\@nil{\pgfsetbaseline{#1}}
+\def\tikz@baseline@coordinate#1\@nil{\pgfsetbaselinepointlater{\tikz@scan@one@point\pgfutil@firstofone#1}}
+
+% Draw options
+\tikzoption{line width}{\tikz@semiaddlinewidth{#1}}%
+
+\def\tikz@semiaddlinewidth#1{\tikz@addoption{\pgfsetlinewidth{#1}}\pgfmathsetlength\pgflinewidth{#1}}
+
+\tikzoption{cap}{\tikz@addoption{\csname pgfset#1cap\endcsname}}
+\tikzoption{join}{\tikz@addoption{\csname pgfset#1join\endcsname}}
+\tikzoption{line cap}{\tikz@addoption{\csname pgfset#1cap\endcsname}}
+\tikzoption{line join}{\tikz@addoption{\csname pgfset#1join\endcsname}}
+\tikzoption{miter limit}{\tikz@addoption{\pgfsetmiterlimit{#1}}}
+
+\tikzoption{dash pattern}{% syntax: on 2pt off 3pt on 4pt ...
+ \def\tikz@temp{#1}%
+ \ifx\tikz@temp\pgfutil@empty%
+ \def\tikz@dashpattern{}%
+ \tikz@addoption{\pgfsetdash{}{0pt}}%
+ \else%
+ \def\tikz@dashpattern{}%
+ \expandafter\tikz@scandashon\pgfutil@gobble#1o\@nil%
+ \edef\tikz@temp{{\tikz@dashpattern}{\noexpand\tikz@dashphase}}%
+ \expandafter\tikz@addoption\expandafter{\expandafter\pgfsetdash\tikz@temp}%
+ \fi}
+\tikzoption{dash phase}{%
+ \def\tikz@dashphase{#1}%
+ \edef\tikz@temp{{\tikz@dashpattern}{\noexpand\tikz@dashphase}}%
+ \expandafter\tikz@addoption\expandafter{\expandafter\pgfsetdash\tikz@temp}%
+}%
+\def\tikz@dashphase{0pt}
+
+\def\tikz@scandashon n#1o{%
+ \expandafter\def\expandafter\tikz@dashpattern\expandafter{\tikz@dashpattern{#1}}%
+ \pgfutil@ifnextchar\@nil{\pgfutil@gobble}{\tikz@scandashoff}}
+\def\tikz@scandashoff ff#1o{%
+ \expandafter\def\expandafter\tikz@dashpattern\expandafter{\tikz@dashpattern{#1}}%
+ \pgfutil@ifnextchar\@nil{\pgfutil@gobble}{\tikz@scandashon}}
+
+\tikzoption{draw opacity}{\tikz@addoption{\pgfsetstrokeopacity{#1}}}
+
+% Double draw options
+\tikzoption{double}[]{%
+ \def\tikz@temp{#1}%
+ \ifx\tikz@temp\tikz@nonetext%
+ \tikz@addmode{\tikz@mode@doublefalse}%
+ \else%
+ \ifx\tikz@temp\pgfutil@empty%
+ \else%
+ \def\tikz@double@color{#1}%
+ \fi%
+ \tikz@addmode{\tikz@mode@doubletrue}%
+ \fi}
+\tikzoption{double distance}{%
+ \pgfmathsetlength{\pgf@x}{#1}%
+ \edef\tikz@double@width@distance{\the\pgf@x}%
+ \tikz@addmode{\tikz@mode@doubletrue}}
+
+\def\tikz@double@width@distance{0.6pt}
+\def\tikz@double@color{white}
+
+% Fill options
+
+\tikzoption{even odd rule}[]{\tikz@addoption{\pgfseteorule}}
+\tikzoption{nonzero rule}[]{\tikz@addoption{\pgfsetnonzerorule}}
+
+\tikzoption{fill opacity}{\tikz@addoption{\pgfsetfillopacity{#1}}}
+
+
+% Joined fill/draw options
+
+\tikzoption{opacity}{\tikz@addoption{\pgfsetstrokeopacity{#1}\pgfsetfillopacity{#1}}}
+
+
+% Main color options
+\tikzoption{color}{%
+ \tikz@addoption{%
+ \ifx\tikz@fillcolor\pgfutil@empty%
+ \ifx\tikz@strokecolor\pgfutil@empty%
+ \else%
+ \pgfsys@color@reset@inorderfalse%
+ \let\tikz@strokecolor\pgfutil@empty%
+ \let\tikz@fillcolor\pgfutil@empty%
+ \fi%
+ \else%
+ \pgfsys@color@reset@inorderfalse%
+ \let\tikz@strokecolor\pgfutil@empty%
+ \let\tikz@fillcolor\pgfutil@empty%
+ \fi%
+ \pgfutil@colorlet{tikz@color}{#1}%
+ \pgfutil@colorlet{.}{tikz@color}%
+ \pgfsetcolor{.}%
+ \pgfsys@color@reset@inordertrue%
+ }%
+ \def\tikz@textcolor{#1}}
+
+
+
+% Rounding options
+\tikzoption{rounded corners}[4pt]{\pgfsetcornersarced{\pgfpoint{#1}{#1}}}
+\tikzoption{sharp corners}[]{\pgfsetcornersarced{\pgfpointorigin}}
+
+
+
+% Coordinate options
+\tikzoption{x}{\tikz@handle@vec{\pgfsetxvec}{\tikz@handle@x}#1\relax}
+\tikzoption{y}{\tikz@handle@vec{\pgfsetyvec}{\tikz@handle@y}#1\relax}
+\tikzoption{z}{\tikz@handle@vec{\pgfsetzvec}{\tikz@handle@z}#1\relax}
+
+\def\tikz@handle@vec#1#2{\pgfutil@ifnextchar({\tikz@handle@coordinate#1}{\tikz@handle@single#2}}
+\def\tikz@handle@coordinate#1{\tikz@scan@one@point#1}
+\def\tikz@handle@single#1#2\relax{#1{#2}}
+\def\tikz@handle@x#1{\pgfsetxvec{\pgfpoint{#1}{0pt}}}
+\def\tikz@handle@y#1{\pgfsetyvec{\pgfpoint{0pt}{#1}}}
+\def\tikz@handle@z#1{\pgfsetzvec{\pgfpoint{#1}{#1}}}
+
+
+% Transformation options
+\tikzoption{scale}{\tikz@addtransform{\pgftransformscale{#1}}}
+\tikzoption{scale around}{\tikz@addtransform{\def\tikz@aroundaction{\pgftransformscale}\tikz@doaround{#1}}}
+\tikzoption{xscale}{\tikz@addtransform{\pgftransformxscale{#1}}}
+\tikzoption{xslant}{\tikz@addtransform{\pgftransformxslant{#1}}}
+\tikzoption{yscale}{\tikz@addtransform{\pgftransformyscale{#1}}}
+\tikzoption{yslant}{\tikz@addtransform{\pgftransformyslant{#1}}}
+\tikzoption{rotate}{\tikz@addtransform{\pgftransformrotate{#1}}}
+\tikzoption{rotate around}{\tikz@addtransform{\def\tikz@aroundaction{\pgftransformrotate}\tikz@doaround{#1}}}
+\def\tikz@doaround#1{%
+ \edef\tikz@temp{#1}% get rid of active stuff
+ \expandafter\tikz@doparseA\tikz@temp%
+}%
+\def\tikz@doparseA#1:{%
+ \def\tikz@temp@rot{#1}%
+ \tikz@scan@one@point\tikz@doparseB%
+}
+\def\tikz@doparseB#1{%
+ \pgf@process{#1}%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \pgftransformshift{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ \tikz@aroundaction{\tikz@temp@rot}%
+ \pgftransformshift{\pgfqpoint{-\pgf@xc}{-\pgf@yc}}%
+}
+
+\tikzoption{shift}{\tikz@addtransform{\tikz@scan@one@point\pgftransformshift#1\relax}}
+\tikzoption{xshift}{\tikz@addtransform{\pgftransformxshift{#1}}}
+\tikzoption{yshift}{\tikz@addtransform{\pgftransformyshift{#1}}}
+\tikzoption{cm}{\tikz@addtransform{\tikz@parse@cm#1\relax}}
+\tikzoption{reset cm}[]{\tikz@addtransform{\pgftransformreset}}
+\tikzoption{shift only}[]{\tikz@addtransform{\pgftransformresetnontranslations}}
+
+\def\tikz@parse@cm#1,#2,#3,#4,{%
+ \def\tikz@p@cm{{#1}{#2}{#3}{#4}}%
+ \tikz@scan@one@point\tikz@parse@cmA}
+\def\tikz@parse@cmA#1{%
+ \expandafter\pgftransformcm\tikz@p@cm{#1}%
+}
+
+\tikzset{transform canvas/.code=%
+ {%
+ \tikz@addoption
+ {%
+ {%
+ \pgftransformreset%
+ \let\tikz@transform=\relax%
+ \tikzset{#1}%
+ \pgflowlevelsynccm%
+ }%
+ \pgf@relevantforpicturesizefalse%
+ }%
+ }%
+}
+
+
+% Grid options
+\tikzoption{xstep}{\def\tikz@grid@x{#1}}
+\tikzoption{ystep}{\def\tikz@grid@y{#1}}
+\tikzoption{step}{\tikz@handle@vec{\tikz@step@point}{\tikz@step@single}#1\relax}
+\def\tikz@step@single#1{\def\tikz@grid@x{#1}\def\tikz@grid@y{#1}}
+\def\tikz@step@point#1{\pgf@process{#1}\edef\tikz@grid@x{\the\pgf@x}\edef\tikz@grid@y{\the\pgf@y}}
+
+\def\tikz@grid@x{1cm}
+\def\tikz@grid@y{1cm}
+
+
+% Current point updates
+\newif\iftikz@current@point@local
+\tikzset{current point is local/.is if=tikz@current@point@local}
+
+% Path usage options
+\newif\iftikz@mode@double
+\newif\iftikz@mode@fill
+\newif\iftikz@mode@draw
+\newif\iftikz@mode@clip
+\newif\iftikz@mode@boundary
+\newif\iftikz@mode@shade
+\newif\iftikz@mode@fade@path
+\newif\iftikz@mode@fade@scope
+\let\tikz@mode=\pgfutil@empty
+
+\def\tikz@nonetext{none}
+
+\tikzoption{path only}[]{\let\tikz@mode=\pgfutil@empty}
+\tikzoption{shade}[]{\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{fill}[]{%
+ \edef\tikz@temp{#1}%
+ \ifx\tikz@temp\tikz@nonetext%
+ \tikz@addmode{\tikz@mode@fillfalse}%
+ \else%
+ \ifx\tikz@temp\pgfutil@empty%
+ \else%
+ \tikz@addoption{\pgfsetfillcolor{#1}}%
+ \def\tikz@fillcolor{#1}%
+ \fi%
+ \tikz@addmode{\tikz@mode@filltrue}%
+ \fi%
+}
+\tikzoption{draw}[]{%
+ \edef\tikz@temp{#1}%
+ \ifx\tikz@temp\tikz@nonetext%
+ \tikz@addmode{\tikz@mode@drawfalse}%
+ \else%
+ \ifx\tikz@temp\pgfutil@empty%
+ \else%
+ \tikz@addoption{\pgfsetstrokecolor{#1}}%
+ \def\tikz@strokecolor{#1}%
+ \fi%
+ \tikz@addmode{\tikz@mode@drawtrue}%
+ \fi%
+}
+\tikzoption{clip}[]{\tikz@addmode{\tikz@mode@cliptrue}}
+\tikzoption{use as bounding box}[]{\tikz@addmode{\tikz@mode@boundarytrue}}
+
+\tikzoption{save path}{\tikz@addmode{\pgfsyssoftpath@getcurrentpath#1\global\let#1=#1}}
+
+\let\tikz@fillcolor=\pgfutil@empty
+\let\tikz@strokecolor=\pgfutil@empty
+
+
+% Pattern options
+\tikzset{pattern/.code=\PackageError{tikz}{You need to say \string\usetikzlibrary{patterns}}{},
+ pattern color/.style=pattern}
+
+
+% Shading options
+\tikzset{path fading/.code={
+ \def\tikz@temp{#1}%
+ \ifx\tikz@temp\tikz@nonetext%
+ \tikz@addmode{\tikz@mode@fade@pathfalse}%
+ \else%
+ \ifx\tikz@temp\pgfutil@empty%
+ \else%
+ \def\tikz@path@fading{#1}%
+ \fi%
+ \tikz@addmode{\tikz@mode@fade@pathtrue}%
+ \fi%
+ },
+ path fading/.default=,
+ scope fading/.code={
+ \def\tikz@temp{#1}%
+ \ifx\tikz@temp\tikz@nonetext%
+ \tikz@addmode{\tikz@mode@fade@scopefalse}%
+ \else%
+ \ifx\tikz@temp\pgfutil@empty%
+ \else%
+ \def\tikz@scope@fading{#1}%
+ \fi%
+ \tikz@addmode{\tikz@mode@fade@scopetrue}%
+ \fi%
+ },
+ scope fading/.default=}
+\tikzset{fit fading/.is if=tikz@fade@adjust}
+\tikzset{fading transform/.store in=\tikz@fade@transform}
+\tikzset{fading angle/.style={fading transform={rotate=#1}}}
+
+\newif\iftikz@fade@adjust
+\tikz@fade@adjusttrue
+\let\tikz@fade@transform\pgfutil@empty
+
+\pgfutil@colorlet{transparent}{pgftransparent}
+\def\tikz@do@fade@transform{\let\tikz@transform=\relax\expandafter\tikzset\expandafter{\tikz@fade@transform}}
+
+
+
+% Transparency groups
+\newif\iftikz@transparency@group
+\tikzset{/tikz/transparency group/.is if=tikz@transparency@group}
+
+
+% Shading options
+\tikzoption{shading}{\def\tikz@shading{#1}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{shading angle}{\def\tikz@shade@angle{#1}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{top color}{%
+ \pgfutil@colorlet{tikz@axis@top}{#1}%
+ \pgfutil@colorlet{tikz@axis@middle}{tikz@axis@top!50!tikz@axis@bottom}%
+ \def\tikz@shading{axis}\def\tikz@shade@angle{0}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{bottom color}{%
+ \pgfutil@colorlet{tikz@axis@bottom}{#1}%
+ \pgfutil@colorlet{tikz@axis@middle}{tikz@axis@top!50!tikz@axis@bottom}%
+ \def\tikz@shading{axis}\def\tikz@shade@angle{0}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{middle color}{%
+ \pgfutil@colorlet{tikz@axis@middle}{#1}%
+ \def\tikz@shading{axis}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{left color}{%
+ \pgfutil@colorlet{tikz@axis@top}{#1}%
+ \pgfutil@colorlet{tikz@axis@middle}{tikz@axis@top!50!tikz@axis@bottom}%
+ \def\tikz@shading{axis}\def\tikz@shade@angle{90}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{right color}{%
+ \pgfutil@colorlet{tikz@axis@bottom}{#1}%
+ \pgfutil@colorlet{tikz@axis@middle}{tikz@axis@top!50!tikz@axis@bottom}%
+ \def\tikz@shading{axis}\def\tikz@shade@angle{90}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{ball color}{\pgfutil@colorlet{tikz@ball}{#1}\def\tikz@shading{ball}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{inner color}{\pgfutil@colorlet{tikz@radial@inner}{#1}\def\tikz@shading{radial}\tikz@addmode{\tikz@mode@shadetrue}}
+\tikzoption{outer color}{\pgfutil@colorlet{tikz@radial@outer}{#1}\def\tikz@shading{radial}\tikz@addmode{\tikz@mode@shadetrue}}
+
+\def\tikz@shading{axis}
+\def\tikz@shade@angle{0}
+
+\pgfdeclareverticalshading[tikz@axis@top,tikz@axis@middle,tikz@axis@bottom]{axis}{100bp}{%
+ color(0bp)=(tikz@axis@bottom);
+ color(25bp)=(tikz@axis@bottom);
+ color(50bp)=(tikz@axis@middle);
+ color(75bp)=(tikz@axis@top);
+ color(100bp)=(tikz@axis@top)}
+
+\pgfutil@colorlet{tikz@axis@top}{gray}
+\pgfutil@colorlet{tikz@axis@middle}{gray!50!white}
+\pgfutil@colorlet{tikz@axis@bottom}{white}
+
+\pgfdeclareradialshading[tikz@ball]{ball}{\pgfqpoint{-10bp}{10bp}}{%
+ color(0bp)=(tikz@ball!15!white);
+ color(9bp)=(tikz@ball!75!white);
+ color(18bp)=(tikz@ball!70!black);
+ color(25bp)=(tikz@ball!50!black);
+ color(50bp)=(black)}
+
+\pgfutil@colorlet{tikz@ball}{blue}
+
+\pgfdeclareradialshading[tikz@radial@inner,tikz@radial@outer]{radial}{\pgfpointorigin}{%
+ color(0bp)=(tikz@radial@inner);
+ color(25bp)=(tikz@radial@outer);
+ color(50bp)=(tikz@radial@outer)}
+
+\pgfutil@colorlet{tikz@radial@inner}{gray}
+\pgfutil@colorlet{tikz@radial@outer}{white}
+
+
+% Pin options
+\tikzoption{pin}{\pgfutil@ifnextchar[{\tikz@parse@pin}{\tikz@parse@pin[]}#1\pgf@nil}
+\tikzoption{pin distance}{\def\tikz@pin@distance{#1}}
+\tikzoption{pin edge}{\def\tikz@pin@edge@style{#1}}
+
+\tikzoption{tikz@pin@post}[]{%
+ \tikz@compute@direction{\tikz@label@angle}{\tikz@pin@distance}%
+ \global\let\tikz@pin@edge@style@smuggle=\tikz@pin@edge@style%
+}
+\tikzoption{tikz@pre@pin@edge}[]{\def\pgf@marshal{\tikzstyle{tikz@pin@options}=}
+ \expandafter\pgf@marshal\expandafter[\tikz@pin@edge@style@smuggle]%
+}
+
+\def\tikz@pin@distance{3ex}
+\def\tikz@pin@edge@style{}
+
+\def\tikz@parse@pin[#1]#2:#3\pgf@nil{%
+ \tikz@add@after@node@path{%
+ \bgroup
+ [current point is local=true]
+ \pgfextra{\let\tikz@save@last@node=\tikzlastnode}%
+ node [every pin,tikz@label@angle=#2,#1,at=(\tikzlastnode.\tikz@label@angle),%
+ after node path={(\tikz@save@last@node) edge[every pin edge,tikz@pre@pin@edge,tikz@pin@options] (\tikzlastnode)},
+ tikz@pin@post]
+ {#3}
+ \egroup%
+ }
+}
+
+
+% Label and pin options
+
+\tikzoption{label}{\pgfutil@ifnextchar[{\tikz@parse@label}{\tikz@parse@label[]}#1\pgf@nil}
+\tikzoption{label distance}{\def\tikz@label@distance{#1}}
+
+\tikzoption{tikz@label@angle}{\def\tikz@label@angle{#1}\csname tikz@label@angle@is@#1\endcsname}
+
+\tikzoption{tikz@label@post}[]{\tikz@compute@direction{\tikz@label@angle}{\tikz@label@distance}}
+
+\def\tikz@label@distance{0pt}
+
+\def\tikz@parse@label[#1]#2:#3\pgf@nil{%
+ \tikz@add@after@node@path{
+ \bgroup
+ \pgfextra{\let\tikz@save@last@fig@name=\tikz@last@fig@name}%
+ node
+ [every label,%
+ tikz@label@angle=#2,%
+ #1,%
+ at=(\tikzlastnode.\tikz@label@angle),tikz@label@post]%
+ {#3}%
+ \pgfextra{\global\let\tikz@last@fig@name=\tikz@save@last@fig@name}%
+ \egroup%
+ }
+}
+
+\expandafter\def\csname tikz@label@angle@is@right\endcsname{\def\tikz@label@angle{0}}
+\expandafter\def\csname tikz@label@angle@is@above right\endcsname{\def\tikz@label@angle{45}}
+\expandafter\def\csname tikz@label@angle@is@above\endcsname{\def\tikz@label@angle{90}}
+\expandafter\def\csname tikz@label@angle@is@above left\endcsname{\def\tikz@label@angle{135}}
+\expandafter\def\csname tikz@label@angle@is@left\endcsname{\def\tikz@label@angle{180}}
+\expandafter\def\csname tikz@label@angle@is@below left\endcsname{\def\tikz@label@angle{225}}
+\expandafter\def\csname tikz@label@angle@is@below\endcsname{\def\tikz@label@angle{270}}
+\expandafter\def\csname tikz@label@angle@is@below right\endcsname{\def\tikz@label@angle{315}}
+
+\def\tikz@compute@direction#1#2{%
+ \let\tikz@do@auto@anchor=\relax
+ \c@pgf@counta=#1\relax%
+ \ifnum\c@pgf@counta<0\relax
+ \advance\c@pgf@counta by 360\relax%
+ \fi%
+ \ifnum\c@pgf@counta>359\relax
+ \advance\c@pgf@counta by-360\relax%
+ \fi%
+ \ifnum\c@pgf@counta<4\relax%
+ \def\tikz@anchor{west}%
+ \else\ifnum\c@pgf@counta<87\relax%
+ \def\tikz@anchor{south west}%
+ \else\ifnum\c@pgf@counta<94\relax%
+ \def\tikz@anchor{south}%
+ \else\ifnum\c@pgf@counta<177\relax%
+ \def\tikz@anchor{south east}%
+ \else\ifnum\c@pgf@counta<184\relax%
+ \def\tikz@anchor{east}%
+ \else\ifnum\c@pgf@counta<267\relax%
+ \def\tikz@anchor{north east}%
+ \else\ifnum\c@pgf@counta<274\relax%
+ \def\tikz@anchor{north}%
+ \else\ifnum\c@pgf@counta<357\relax%
+ \def\tikz@anchor{north west}%
+ \else%
+ \def\tikz@anchor{west}%
+ \fi\fi\fi\fi\fi\fi\fi\fi%
+ \tikz@addtransform{\pgftransformshift{\pgfpointpolar{#1}{#2}}}%
+}
+
+
+
+% General node options
+\tikzoption{name}{\edef\tikz@fig@name{#1}}
+
+\tikzoption{at}{\tikz@scan@one@point\tikz@set@at#1}
+\def\tikz@set@at#1{\def\tikz@node@at{#1}}%
+
+\tikzoption{shape}{\edef\tikz@shape{#1}}
+
+\tikzoption{nodes}{\tikzstyle{every node}+=[#1]}
+
+\tikzset{alias/.code={\tikz@fig@mustbenamed\expandafter\def\expandafter\tikz@alias\expandafter{\tikz@alias\pgfnodealias{#1}{\tikz@fig@name}}}}
+
+\tikzoption{after node path}{\tikz@add@after@node@path{#1}}%
+\def\tikz@add@after@node@path#1{\expandafter\def\expandafter\tikz@after@node\expandafter{\tikz@after@node#1}}
+
+\def\tikzaddafternodepathoption#1{%
+ #1%
+ \expandafter\def\expandafter\tikz@afternodepathoptions\expandafter{\tikz@afternodepathoptions#1}}
+
+\let\tikz@afternodepathoptions=\pgfutil@empty
+
+\tikzoption{anchor}{\def\tikz@anchor{#1}\let\tikz@do@auto@anchor=\relax}
+
+\tikzoption{left}[]{\def\tikz@anchor{east}\tikz@possibly@transform{x}{-}{#1}}
+\tikzoption{right}[]{\def\tikz@anchor{west}\tikz@possibly@transform{x}{}{#1}}
+\tikzoption{above}[]{\def\tikz@anchor{south}\tikz@possibly@transform{y}{}{#1}}
+\tikzoption{below}[]{\def\tikz@anchor{north}\tikz@possibly@transform{y}{-}{#1}}
+\tikzoption{above left}[]%
+ {\def\tikz@anchor{south east}%
+ \tikz@possibly@transform{x}{-}{#1}\tikz@possibly@transform{y}{}{#1}}
+\tikzoption{above right}[]%
+ {\def\tikz@anchor{south west}%
+ \tikz@possibly@transform{x}{}{#1}\tikz@possibly@transform{y}{}{#1}}
+\tikzoption{below left}[]%
+ {\def\tikz@anchor{north east}%
+ \tikz@possibly@transform{x}{-}{#1}\tikz@possibly@transform{y}{-}{#1}}
+\tikzoption{below right}[]%
+ {\def\tikz@anchor{north west}%
+ \tikz@possibly@transform{x}{}{#1}\tikz@possibly@transform{y}{-}{#1}}
+
+\tikzoption{node distance}{\def\tikz@node@distance{#1}}
+\def\tikz@node@distance{1cm}
+
+% The following are deprecated:
+\tikzoption{above of}{\tikz@of{#1}{90}}%
+\tikzoption{below of}{\tikz@of{#1}{-90}}%
+\tikzoption{left of}{\tikz@of{#1}{180}}%
+\tikzoption{right of}{\tikz@of{#1}{0}}%
+\tikzoption{above left of}{\tikz@of{#1}{135}}%
+\tikzoption{below left of}{\tikz@of{#1}{-135}}%
+\tikzoption{above right of}{\tikz@of{#1}{45}}%
+\tikzoption{below right of}{\tikz@of{#1}{-45}}%
+\def\tikz@of#1#2{%
+ \def\tikz@anchor{center}%
+ \let\tikz@do@auto@anchor=\relax%
+ \tikz@addtransform{%
+ \expandafter\tikz@extract@node@dist\tikz@node@distance and\pgf@stop%
+ \pgftransformshift{\pgfpointpolar{#2}{\tikz@extracted@node@distance}}}%
+ \def\tikz@node@at{\pgfpointanchor{#1}{center}}}
+\def\tikz@extract@node@dist#1and#2\pgf@stop{%
+ \def\tikz@extracted@node@distance{#1}}
+
+
+\tikzoption{transform shape}[true]{%
+ \csname tikz@fullytransformed#1\endcsname%
+ \iftikz@fullytransformed%
+ \pgfresetnontranslationattimefalse%
+ \else%
+ \pgfresetnontranslationattimetrue%
+ \fi%
+}
+
+\newif\iftikz@fullytransformed
+\pgfresetnontranslationattimetrue%
+
+\def\tikz@anchor{center}%
+\def\tikz@shape{rectangle}%
+
+\def\tikz@possibly@transform#1#2#3{%
+ \let\tikz@do@auto@anchor=\relax%
+ \def\tikz@test{#3}%
+ \ifx\tikz@test\pgfutil@empty%
+ \else%
+ \pgfmathsetlength{\pgf@x}{#3}%
+ \pgf@x=#2\pgf@x\relax%
+ \edef\tikz@marshal{\noexpand\tikz@addtransform{%
+ \expandafter\noexpand\csname pgftransform#1shift\endcsname{\the\pgf@x}}}%
+ \tikz@marshal%
+ \fi%
+}
+
+
+% Inter-picture options
+\tikzoption{remember picture}[true]{\csname pgfrememberpicturepositiononpage#1\endcsname}
+\tikzoption{overlay}[]{\pgf@relevantforpicturesizefalse}
+
+
+
+% Line/curve label placement options
+\tikzoption{sloped}[true]{\csname pgfslopedattime#1\endcsname}
+\tikzoption{allow upside down}[true]{\csname pgfallowupsidedownattime#1\endcsname}
+
+\tikzoption{pos}{\edef\tikz@time{#1}}
+
+\tikzoption{auto}[]{\csname tikz@install@auto@anchor@#1\endcsname}
+\tikzoption{swap}[]{%
+ \def\tikz@temp{left}%
+ \ifx\tikz@auto@anchor@direction\tikz@temp%
+ \def\tikz@auto@anchor@direction{right}%
+ \else%
+ \def\tikz@auto@anchor@direction{left}%
+ \fi%
+}
+
+\def\tikz@time{.5}
+
+\def\tikz@install@auto@anchor@{\let\tikz@do@auto@anchor=\tikz@auto@anchor@on}
+\def\tikz@install@auto@anchor@false{\let\tikz@do@auto@anchor=\relax}
+\def\tikz@install@auto@anchor@left{\let\tikz@do@auto@anchor=\tikz@auto@anchor@on\def\tikz@auto@anchor@direction{left}}
+\def\tikz@install@auto@anchor@right{\let\tikz@do@auto@anchor=\tikz@auto@anchor@on\def\tikz@auto@anchor@direction{right}}
+
+\let\tikz@do@auto@anchor=\relax%
+
+\def\tikz@auto@anchor@on{\csname tikz@auto@anchor@\tikz@auto@anchor@direction\endcsname}
+
+\def\tikz@auto@anchor@left{\tikz@auto@pre\tikz@auto@anchor\tikz@auto@post}
+\def\tikz@auto@anchor@right{\tikz@auto@pre\tikz@auto@anchor@prime\tikz@auto@post}
+
+\def\tikz@auto@anchor@direction{left}
+
+% Text options
+\tikzoption{text}{\def\tikz@textcolor{#1}}
+\tikzoption{font}{\def\tikz@textfont{#1}}
+\tikzoption{text opacity}{\def\tikz@textopacity{#1}}
+\tikzoption{text width}{\def\tikz@text@width{#1}}
+\tikzoption{text height}{\def\tikz@text@height{#1}}
+\tikzoption{text depth}{\def\tikz@text@depth{#1}}
+\tikzoption{text ragged}[]%
+{\def\tikz@text@action{\raggedright\rightskip\z@ plus2em \spaceskip.3333em \xspaceskip.5em\relax}}
+\tikzoption{text badly ragged}[]{\def\tikz@text@action{\raggedright\relax}}
+\tikzoption{text ragged left}[]%
+{\def\tikz@text@action{\raggedleft\leftskip\z@ plus2em \spaceskip.3333em \xspaceskip.5em\relax}}
+\tikzoption{text badly ragged left}[]{\def\tikz@text@action{\raggedleft\relax}}
+\tikzoption{text justified}[]{\def\tikz@text@action{\leftskip\z@\rightskip\z@\relax}}
+\tikzoption{text centered}[]{\def\tikz@text@action{%
+ \leftskip\z@ plus2em%
+ \rightskip\z@ plus2em%
+ \spaceskip.3333em \xspaceskip.5em%
+ \parfillskip=0pt%
+ \let\\=\@centercr% for latex
+ \relax}}
+\tikzoption{text badly centered}[]%
+{\def\tikz@text@action{%
+ \let\\=\@centercr% for latex
+ \parfillskip=0pt%
+ \rightskip\@flushglue%
+ \leftskip\@flushglue\relax}}
+
+\let\tikz@text@width=\pgfutil@empty
+\let\tikz@text@height=\pgfutil@empty
+\let\tikz@text@depth=\pgfutil@empty
+\let\tikz@textcolor=\pgfutil@empty
+\let\tikz@textfont=\pgfutil@empty
+\let\tikz@textopacity=\pgfutil@empty
+
+\def\tikz@text@action{\raggedright\rightskip\z@ plus2em \spaceskip.3333em \xspaceskip.5em\relax}
+
+
+
+
+
+% Arrow options
+\tikzoption{arrows}{\tikz@processarrows{#1}}
+
+\tikzoption{>}{%
+ \tikz@set@pointed{\csname pgf@arrows@invert#1\endcsname}{#1}%
+ \expandafter\tikz@processarrows\expandafter{\tikz@current@arrows}%
+}
+
+\tikzoption{shorten <}{\pgfsetshortenstart{#1}}
+\tikzoption{shorten >}{\pgfsetshortenend{#1}}
+
+\def\tikz@set@pointed#1#2{%
+ \pgfutil@ifundefined{pgf@arrow@code@tikze@>@#2}
+ {%
+ \pgfarrowsdeclarealias{tikzs@<@#2}{tikze@>@#2}{#1}{#2}%
+ \pgfarrowsdeclarereversed{tikzs@>@#2}{tikze@<@#2}{#1}{#2}%
+ \pgfarrowsdeclarecombine*{tikz@|<@#2}{tikz@>|@#2}{#1}{#2}{|}{|}%
+ \pgfarrowsdeclaredouble[\pgflinewidth]{tikzs@<<@#2}{tikze@>>@#2}{#1}{#2}%<<
+ \pgfarrowsdeclarereversed{tikzs@>>@#2}{tikze@<<@#2}{tikzs@<<@#2}{tikze@>>@#2}%<<
+ }{}%
+ \pgfutil@namedef{tikz@special@arrow@start<}{tikzs@<@#2}%
+ \pgfutil@namedef{tikz@special@arrow@end>}{tikze@>@#2}%
+ \pgfutil@namedef{tikz@special@arrow@start>}{tikzs@>@#2}%
+ \pgfutil@namedef{tikz@special@arrow@end<}{tikze@<@#2}%
+ \pgfutil@namedef{tikz@special@arrow@start|<}{tikz@|<@#2}%
+ \pgfutil@namedef{tikz@special@arrow@end>|}{tikz@>|@#2}%
+ \pgfutil@namedef{tikz@special@arrow@start<<}{tikzs@<<@#2}%
+ \pgfutil@namedef{tikz@special@arrow@end>>}{tikze@>>@#2}%<<
+ \pgfutil@namedef{tikz@special@arrow@start>>}{tikzs@<<@#2}%<<
+ \pgfutil@namedef{tikz@special@arrow@end<<}{tikze@>>@#2}%<<
+}
+
+\def\tikz@processarrows#1{%
+ \def\tikz@current@arrows{#1}%
+ \def\tikz@temp{#1}%
+ \ifx\tikz@temp\pgfutil@empty%
+ \else%
+ \tikz@@processarrows#1\@nil
+ \fi%
+}
+\def\tikz@@processarrows#1-#2\@nil{%
+ \expandafter\ifx\csname tikz@special@arrow@start#1\endcsname\relax%
+ \pgfsetarrowsstart{#1}
+ \else%
+ \pgfsetarrowsstart{\csname tikz@special@arrow@start#1\endcsname}%
+ \fi%
+ \expandafter\ifx\csname tikz@special@arrow@end#2\endcsname\relax%
+ \pgfsetarrowsend{#2}
+ \else%
+ \pgfsetarrowsend{\csname tikz@special@arrow@end#2\endcsname}%
+ \fi%
+}
+
+\tikz@set@pointed{\pgf@arrows@invertto}{to}
+\def\tikz@current@arrows{-}
+
+% Parabola options
+\tikzoption{bend}{\tikz@scan@one@point\tikz@set@parabola@bend#1\relax}%
+\tikzoption{bend pos}{\def\tikz@parabola@bend@factor{#1}}
+\tikzoption{parabola height}{%
+ \def\tikz@parabola@bend@factor{.5}%
+ \def\tikz@parabola@bend{\pgfpointadd{\pgfpoint{0pt}{#1}}{\tikz@last@position@saved}}}
+
+\def\tikz@parabola@bend{\tikz@last@position@saved}
+\def\tikz@parabola@bend@factor{0}
+
+\def\tikz@set@parabola@bend#1{\def\tikz@parabola@bend{#1}}
+
+% Axis options
+\tikzoption{domain}{\def\tikz@plot@domain{#1}\expandafter\tikz@plot@samples@recalc\tikz@plot@domain\relax}
+\tikzoption{range}{\def\tikz@plot@range{#1}}
+
+% Plot options
+\tikzoption{smooth}[]{\let\tikz@plot@handler=\pgfplothandlercurveto}
+\tikzoption{smooth cycle}[]{\let\tikz@plot@handler=\pgfplothandlerclosedcurve}
+\tikzoption{sharp plot}[]{\let\tikz@plot@handler\pgfplothandlerlineto}
+
+\tikzoption{tension}{\pgfsetplottension{#1}}
+
+\tikzoption{xcomb}[]{\let\tikz@plot@handler=\pgfplothandlerxcomb}
+\tikzoption{ycomb}[]{\let\tikz@plot@handler=\pgfplothandlerycomb}
+\tikzoption{polar comb}[]{\let\tikz@plot@handler=\pgfplothandlerpolarcomb}
+
+\tikzoption{raw gnuplot}[true]{\csname tikz@plot@raw@gnuplot#1\endcsname}
+\tikzoption{prefix}{\def\tikz@plot@prefix{#1}}
+\tikzoption{id}{\def\tikz@plot@id{#1}}
+
+\tikzoption{samples}{\def\tikz@plot@samples{#1}\expandafter\tikz@plot@samples@recalc\tikz@plot@domain\relax}
+\tikzoption{samples at}{\def\tikz@plot@samplesat{#1}}
+\tikzoption{parametric}[true]{\csname tikz@plot@parametric#1\endcsname}
+
+\tikzoption{variable}{\def\tikz@plot@var{#1}}
+
+\tikzoption{only marks}[]{\let\tikz@plot@handler\pgfplothandlerdiscard}
+
+\tikzoption{mark}{\def\tikz@plot@mark{#1}}
+\tikzoption{mark options}{\def\tikz@plot@mark@options{#1}}
+\tikzoption{mark size}{\pgfsetplotmarksize{#1}}
+
+\tikzoption{mark indices}{\def\tikz@mark@list{#1}}
+\tikzoption{mark phase}{\pgfsetplotmarkphase{#1}}
+\tikzoption{mark repeat}{\pgfsetplotmarkrepeat{#1}}
+
+\let\tikz@mark@list=\pgfutil@empty
+
+\let\tikz@plot@mark@options=\pgfutil@empty
+
+\let\tikz@plot@handler=\pgfplothandlerlineto
+\let\tikz@plot@mark=\pgfutil@empty
+
+\def\tikz@plot@samples{25}
+\def\tikz@plot@domain{-5:5}
+\def\tikz@plot@var{\x}
+\def\tikz@plot@samplesat{-5,-4.6,...,5}
+\def\tikz@plot@samples@recalc#1:#2\relax{%
+ \pgfmathparse{#1}%
+ \let\tikz@temp@start=\pgfmathresult%
+ \pgfmathparse{#2}%
+ \let\tikz@temp@end=\pgfmathresult%
+ \pgfmathparse{\tikz@temp@start+(\tikz@temp@end-\tikz@temp@start)/\tikz@plot@samples}%
+ \edef\tikz@plot@samplesat{\tikz@temp@start,\pgfmathresult,...,\tikz@temp@end}%
+}
+
+
+\def\tikz@plot@prefix{\jobname.}
+\def\tikz@plot@id{pgf-plot}
+
+\newif\iftikz@plot@parametric
+\newif\iftikz@plot@raw@gnuplot
+
+
+% To options
+\tikzoption{to path}{\def\tikz@to@path{#1}}
+
+\def\tikz@to@path{-- (\tikztotarget) \tikztonodes}
+
+
+
+% Tree options
+\newif\iftikz@child@missing
+\pgfkeys{/tikz/missing/.is if=tikz@child@missing}
+
+\tikzoption{edge from parent path}{\def\tikz@edge@to@parent@path{#1}}
+
+\tikzoption{parent anchor}{\def\tikzparentanchor{.#1}\ifx\tikzparentanchor\tikz@border@text\let\tikzparentanchor\pgfutil@empty\fi}
+\tikzoption{child anchor}{\def\tikzchildanchor{.#1}\ifx\tikzchildanchor\tikz@border@text\let\tikzchildanchor\pgfutil@empty\fi}
+
+\tikzoption{level distance}{\pgfmathsetlength\tikzleveldistance{#1}}
+\tikzoption{sibling distance}{\pgfmathsetlength\tikzsiblingdistance{#1}}
+
+\tikzoption{growth function}{\let\tikz@grow=#1}
+\tikzoption{growth parent anchor}{\def\tikz@growth@anchor{#1}}
+\tikzoption{grow}{\tikz@set@growth{#1}\edef\tikz@special@level{\the\tikztreelevel}}%
+\tikzoption{grow'}{\tikz@set@growth{#1}\tikz@swap@growth\edef\tikz@special@level{\the\tikztreelevel}}%
+
+\def\tikz@growth@anchor{center}
+
+\def\tikz@special@level{-1}% never
+
+\def\tikz@swap@growth{%
+ % Swap left and right
+ \let\tikz@temp=\tikz@angle@grow@right%
+ \let\tikz@angle@grow@right=\tikz@angle@grow@left%
+ \let\tikz@angle@grow@left=\tikz@temp%
+}%
+
+\def\tikz@set@growth#1{%
+ \let\tikz@grow=\tikz@grow@direction%
+ \expandafter\ifx\csname tikz@grow@direction@#1\endcsname\relax%
+ \c@pgf@counta=#1\relax%
+ \else%
+ \c@pgf@counta=\csname tikz@grow@direction@#1\endcsname%
+ \fi%
+ \edef\tikz@angle@grow{\the\c@pgf@counta}%
+ \advance\c@pgf@counta by-90\relax%
+ \edef\tikz@angle@grow@left{\the\c@pgf@counta}%
+ \advance\c@pgf@counta by180\relax%
+ \edef\tikz@angle@grow@right{\the\c@pgf@counta}%
+}
+
+\def\tikz@border@text{.border}
+\let\tikzparentanchor=\pgfutil@empty
+\let\tikzchildanchor=\pgfutil@empty
+\def\tikz@edge@to@parent@path{(\tikzparentnode\tikzparentanchor) -- (\tikzchildnode\tikzchildanchor)}
+
+\tikzleveldistance=15mm
+\tikzsiblingdistance=15mm
+
+\def\tikz@grow@direction@down{-90}
+\def\tikz@grow@direction@up{90}
+\def\tikz@grow@direction@left{180}
+\def\tikz@grow@direction@right{0}
+
+\def\tikz@grow@direction@south{-90}
+\def\tikz@grow@direction@north{90}
+\def\tikz@grow@direction@west{180}
+\def\tikz@grow@direction@east{0}
+
+\expandafter\def\csname tikz@grow@direction@north east\endcsname{45}
+\expandafter\def\csname tikz@grow@direction@north west\endcsname{135}
+\expandafter\def\csname tikz@grow@direction@south east\endcsname{-45}
+\expandafter\def\csname tikz@grow@direction@south west\endcsname{-135}
+
+\def\tikz@grow@direction{%
+ \pgftransformshift{\pgfpointpolar{\tikz@angle@grow}{\tikzleveldistance}}%
+ \ifnum\tikztreelevel=\tikz@special@level%
+ \else%
+ \pgf@xc=.5\tikzsiblingdistance%
+ \c@pgf@counta=\tikznumberofchildren%
+ \advance\c@pgf@counta by1\relax%
+ \pgfutil@tempdima=\c@pgf@counta\pgf@xc%
+ \pgftransformshift{\pgfpointpolar{\tikz@angle@grow@left}{\pgfutil@tempdima}}%
+ \pgftransformshift{\pgfpointpolar{\tikz@angle@grow@right}{\tikznumberofcurrentchild\tikzsiblingdistance}}%
+ \fi%
+}
+
+\tikzset{grow=down}
+
+
+% Snakes are in a lib:
+\tikzset{snake/.code=\PackageError{tikz}{You need to say \string\usetikzlibrary{snakes}}{}}
+
+% Decorations
+\tikzset{decorate/.code=\PackageError{tikz}{You need to load a decoration library}{}}
+
+% Matrix options
+\usepgfmodule{matrix}
+
+\tikzoption{matrix}[true]{\csname tikz@is@matrix#1\endcsname}
+
+\tikzoption{matrix anchor}{\def\tikz@matrix@anchor{#1}}
+
+\tikzoption{column sep}{\def\pgfmatrixcolumnsep{#1}}
+\tikzoption{row sep}{\def\pgfmatrixrowsep{#1}}
+
+\tikzoption{cells}{\tikzstyle{every cell}+=[#1]}
+
+\tikzoption{ampersand replacement}{\def\tikz@ampersand@replacement{#1}}
+
+\newif\iftikz@is@matrix
+\let\tikz@matrix@anchor=\pgfutil@empty
+\let\tikz@ampersand@replacement=\pgfutil@empty
+
+
+% Execute option
+\tikzoption{execute at begin picture}{\expandafter\def\expandafter\tikz@atbegin@picture\expandafter{\tikz@atbegin@picture#1}}
+\tikzoption{execute at end picture}{\expandafter\def\expandafter\tikz@atend@picture\expandafter{\tikz@atend@picture#1}}
+\tikzoption{execute at begin scope}{\expandafter\def\expandafter\tikz@atbegin@scope\expandafter{\tikz@atbegin@scope#1}}
+\tikzoption{execute at end scope}{\expandafter\def\expandafter\tikz@atend@scope\expandafter{\tikz@atend@scope#1}}
+\tikzoption{execute at begin to}{\expandafter\def\expandafter\tikz@atbegin@to\expandafter{\tikz@atbegin@to#1}}
+\tikzoption{execute at end to}{\expandafter\def\expandafter\tikz@atend@to\expandafter{\tikz@atend@to#1}}
+\tikzoption{execute at begin node}{\expandafter\def\expandafter\tikz@atbegin@node\expandafter{\tikz@atbegin@node#1}}
+\tikzoption{execute at end node}{\expandafter\def\expandafter\tikz@atend@node\expandafter{\tikz@atend@node#1}}
+\tikzoption{execute at begin cell}{\expandafter\def\expandafter\tikz@atbegin@cell\expandafter{\tikz@atbegin@cell#1}}
+\tikzoption{execute at end cell}{\expandafter\def\expandafter\tikz@atend@cell\expandafter{\tikz@atend@cell#1}}
+\tikzoption{execute at empty cell}{\expandafter\def\expandafter\tikz@at@emptycell\expandafter{\tikz@at@emptycell#1}}
+
+\let\tikz@atbegin@picture=\pgfutil@empty
+\let\tikz@atend@picture=\pgfutil@empty
+\let\tikz@atbegin@scope=\pgfutil@empty
+\let\tikz@atend@scope=\pgfutil@empty
+\let\tikz@atbegin@to=\pgfutil@empty
+\let\tikz@atend@to=\pgfutil@empty
+\let\tikz@atbegin@node=\pgfutil@empty
+\let\tikz@atend@node=\pgfutil@empty
+\let\tikz@atbegin@cell=\pgfutil@empty
+\let\tikz@atend@cell=\pgfutil@empty
+\let\tikz@at@emptycell=\pgfutil@empty
+
+
+% Pre and post actions
+\tikzset{preaction/.code=\expandafter\def\expandafter\tikz@preactions\expandafter{\tikz@preactions\tikz@extra@preaction{#1}}}
+\tikzset{postaction/.code=\expandafter\def\expandafter\tikz@postactions\expandafter{\tikz@postactions\tikz@extra@postaction{#1}}}
+\let\tikz@preactions=\pgfutil@empty
+\let\tikz@postactions=\pgfutil@empty
+
+% Styles
+\tikzoption{set style}{\tikzstyle#1}
+
+% Handled in a special way.
+\def\tikzstyle{\pgfutil@ifnextchar\bgroup\tikz@style@parseA\tikz@style@parseB}
+\def\tikz@style@parseB#1={\tikz@style@parseA{#1}=}
+\def\tikz@style@parseA#1#2=#3[#4]{% check for an optional argument
+ \pgfutil@in@[{#2}%]
+ \ifpgfutil@in@%
+ \tikz@style@parseC{#1}#2={#4}%
+ \else%
+ \tikz@style@parseD{#1}#2={#4}%
+ \fi%
+}%
+
+\def\tikz@style@parseC#1[#2]#3=#4{%
+ \pgfkeys{/tikz/#1/.default={#2}}%
+ \pgfutil@in@+{#3}%
+ \ifpgfutil@in@%
+ \pgfkeys{/tikz/#1/.append style={#4}}%
+ \else%
+ \pgfkeys{/tikz/#1/.style={#4}}%
+ \fi}
+\def\tikz@style@parseD#1#2=#3{%
+ \pgfutil@in@+{#2}%
+ \ifpgfutil@in@%
+ \pgfkeys{/tikz/#1/.append style={#3}}%
+ \else%
+ \pgfkeys{/tikz/#1/.style={#3}}%
+ \fi}
+
+
+%
+%
+% Predefined styles
+%
+%
+
+\tikzstyle{help lines}= [color=gray,line width=0.2pt]
+
+\tikzstyle{every picture}= []
+\tikzstyle{every path}= []
+\tikzstyle{every scope}= []
+\tikzstyle{every plot}= []
+\tikzstyle{every node}= []
+\tikzstyle{every child}= []
+\tikzstyle{every child node}= []
+\tikzstyle{every to}= []
+\tikzstyle{every cell}= []
+\tikzstyle{every matrix}= []
+\tikzstyle{every edge}= [draw]
+\tikzstyle{every label}= [draw=none,fill=none]
+\tikzstyle{every pin}= [draw=none,fill=none]
+\tikzstyle{every pin edge}= [help lines]
+
+\tikzstyle{ultra thin}= [line width=0.1pt]
+\tikzstyle{very thin}= [line width=0.2pt]
+\tikzstyle{thin}= [line width=0.4pt]
+\tikzstyle{semithick}= [line width=0.6pt]
+\tikzstyle{thick}= [line width=0.8pt]
+\tikzstyle{very thick}= [line width=1.2pt]
+\tikzstyle{ultra thick}= [line width=1.6pt]
+
+\tikzstyle{solid}= [dash pattern=]
+\tikzstyle{dotted}= [dash pattern=on \pgflinewidth off 2pt]
+\tikzstyle{densely dotted}= [dash pattern=on \pgflinewidth off 1pt]
+\tikzstyle{loosely dotted}= [dash pattern=on \pgflinewidth off 4pt]
+\tikzstyle{dashed}= [dash pattern=on 3pt off 3pt]
+\tikzstyle{densely dashed}= [dash pattern=on 3pt off 2pt]
+\tikzstyle{loosely dashed}= [dash pattern=on 3pt off 6pt]
+
+\tikzstyle{transparent}= [opacity=0]
+\tikzstyle{ultra nearly transparent}=[opacity=0.05]
+\tikzstyle{very nearly transparent}= [opacity=0.1]
+\tikzstyle{nearly transparent}= [opacity=0.25]
+\tikzstyle{semitransparent}= [opacity=0.5]
+\tikzstyle{nearly opaque}= [opacity=0.75]
+\tikzstyle{very nearly opaque}= [opacity=0.9]
+\tikzstyle{ultra nearly opaque}= [opacity=0.95]
+\tikzstyle{opaque}= [opacity=1]
+
+\tikzstyle{at start}= [pos=0]
+\tikzstyle{very near start}= [pos=0.125]
+\tikzstyle{near start}= [pos=0.25]
+\tikzstyle{midway}= [pos=0.5]
+\tikzstyle{near end}= [pos=0.75]
+\tikzstyle{very near end}= [pos=0.875]
+\tikzstyle{at end}= [pos=1]
+
+\tikzstyle{bend at start}= [bend pos=0,bend={+(0,0)}]
+\tikzstyle{bend at end}= [bend pos=1,bend={+(0,0)}]
+
+\tikzstyle{edge from parent}= [draw]
+
+
+
+%
+% Setting keys
+%
+
+\pgfkeys{/tikz/style/.style=#1}
+
+\pgfkeys{/tikz/.unknown/.code=%
+ % Is it a pgf key?
+ \let\tikz@key\pgfkeyscurrentname%
+ \pgfkeys{/pgf/\tikz@key/.try={#1}}%
+ \ifpgfkeyssuccess%
+ \else%
+ \expandafter\pgfutil@in@\expandafter!\expandafter{\tikz@key}%
+ \ifpgfutil@in@%
+ % this is a color!
+ \expandafter\tikz@addoption\expandafter{\expandafter\pgfutil@color\expandafter{\tikz@key}}%
+ \edef\tikz@textcolor{\tikz@key}%
+ \else%
+ \pgfutil@doifcolorelse{\tikz@key}
+ { %
+ \expandafter\tikz@addoption\expandafter{\expandafter\pgfutil@color\expandafter{\tikz@key}}%
+ \edef\tikz@textcolor{\tikz@key}%
+ }%
+ {%
+ % Ok, second chance: This might be an arrow specification:
+ \expandafter\pgfutil@in@\expandafter-\expandafter{\tikz@key}
+ \ifpgfutil@in@%
+ % Ah, an arrow spec!
+ \expandafter\tikz@processarrows\expandafter{\tikz@key}%
+ \else%
+ % Ok, third chance: A shape!
+ \expandafter\ifx\csname pgf@sh@s@\tikz@key\endcsname\relax%
+ \pgfkeys{/errors/unknown key={/tikz/\tikz@key}{#1}}%
+ \else%
+ \edef\tikz@shape{\tikz@key}%
+ \fi%
+ \fi%
+ }%
+ \fi%
+ \fi%
+}
+
+
+%
+% Main TikZ Environment
+%
+
+\def\tikzpicture{\pgfutil@ifnextchar[\tikz@picture{\tikz@picture[]}}%}
+\def\tikz@picture[#1]{%
+ \pgfpicture%
+ \let\tikz@atbegin@picture=\pgfutil@empty%
+ \let\tikz@atend@picture=\pgfutil@empty%
+ \let\tikz@transform=\relax%
+ \tikz@installcommands\scope[every picture,#1]%
+ \expandafter\tikz@atbegin@picture%
+ \tikz@lib@scope@check%
+}
+\def\endtikzpicture{%
+ \tikz@atend@picture%
+ \global\let\pgf@shift@baseline=\pgf@baseline%
+ \global\let\pgf@remember@smuggle=\ifpgfrememberpicturepositiononpage%
+ \endscope%
+ \let\pgf@baseline=\pgf@shift@baseline%
+ \let\ifpgfrememberpicturepositiononpage=\pgf@remember@smuggle%
+ \endpgfpicture}
+
+
+% Inlined picture
+%
+% #1 - some code to be put in a tikzpicture environment.
+%
+% If the command is not followed by braces, everything up to the next
+% semicolon is used as argument.
+%
+% Example:
+%
+% The rectangle \tikz{\draw (0,0) rectangle (1em,1ex)} has width 1em and
+% height 1ex.
+
+\def\tikz{\pgfutil@ifnextchar[{\tikz@opt}{\tikz@opt[]}}
+\def\tikz@opt[#1]{\tikzpicture[#1]\pgfutil@ifnextchar\bgroup{\tikz@}{\tikz@@}}
+\def\tikz@#1{#1\endtikzpicture}
+\def\tikz@@{%
+ \let\tikz@next=\tikz@collectnormalsemicolon%
+ \ifnum\the\catcode`\;=\active\relax%
+ \let\tikz@next=\tikz@collectactivesemicolon%
+ \fi%
+ \tikz@next}
+\def\tikz@collectnormalsemicolon#1;{#1;\endtikzpicture}
+{
+ \catcode`\;=\active
+ \gdef\tikz@collectactivesemicolon#1;{#1;\endtikzpicture}
+}
+
+
+
+%
+% Environment for scoping graphic state settings
+%
+\def\tikz@scope@env{\pgfutil@ifnextchar[\tikz@@scope@env{\tikz@@scope@env[]}}
+\def\tikz@@scope@env[#1]{%
+ \pgfscope%
+ \begingroup%
+ \let\tikz@atbegin@scope=\pgfutil@empty%
+ \let\tikz@atend@scope=\pgfutil@empty%
+ \let\tikz@options=\pgfutil@empty%
+ \let\tikz@mode=\pgfutil@empty%
+ \tikz@transparency@groupfalse%
+ \tikzset{every scope/.try,#1}%
+ \tikz@options%
+ \iftikz@transparency@group\pgftransparencygroup\fi%
+ \expandafter\tikz@atbegin@scope%
+ \tikz@lib@scope@check%
+}
+\def\endtikz@scope@env{%
+ \tikz@atend@scope%
+ \iftikz@transparency@group\endpgftransparencygroup\fi%
+ \endgroup%
+ \endpgfscope%
+ \tikz@lib@scope@check%
+}
+
+%
+% Install the abbreviated commands
+%
+\def\tikz@installcommands{%
+ \ifnum\the\catcode`\;=\active\relax\expandafter\let\expandafter\tikz@origsemi\expandafter=\tikz@activesemicolon\fi%
+ \ifnum\the\catcode`\:=\active\relax\expandafter\let\expandafter\tikz@origcolon\expandafter=\tikz@activecolon\fi%
+ \ifnum\the\catcode`\|=\active\relax\expandafter\let\expandafter\tikz@origbar\expandafter=\tikz@activebar\fi%
+ \let\tikz@origscope=\scope%
+ \let\tikz@origendscope=\endscope%
+ \let\tikz@origstartscope=\startscope%
+ \let\tikz@origstopscope=\stopscope%
+ \let\tikz@origpath=\path%
+ \let\tikz@origagainpath=\againpath%
+ \let\tikz@origdraw=\draw%
+ \let\tikz@origpattern=\pattern%
+ \let\tikz@origfill=\fill%
+ \let\tikz@origfilldraw=\filldraw%
+ \let\tikz@origshade=\shade%
+ \let\tikz@origshadedraw=\shadedraw%
+ \let\tikz@origclip=\clip%
+ \let\tikz@origuseasboundingbox=\useasboundingbox%
+ \let\tikz@orignode=\node%
+ \let\tikz@origcoordinate=\coordinate%
+ \let\tikz@origmatrix=\matrix%
+ \let\tikz@origcalendar=\calendar%
+ %
+ \tikz@deactivatthings%
+ %
+ \let\scope=\tikz@scope@env%
+ \let\endscope=\endtikz@scope@env%
+ \let\startscope=\scope%
+ \let\stopscope=\endscope%
+ \let\path=\tikz@command@path%
+ \let\againpath=\tikz@command@againpath%
+ %
+ \def\draw{\path[draw]}
+ \def\pattern{\path[pattern]}
+ \def\fill{\path[fill]}
+ \def\filldraw{\path[fill,draw]}
+ \def\shade{\path[shade]}
+ \def\shadedraw{\path[shade,draw]}
+ \def\clip{\path[clip]}
+ \def\useasboundingbox{\path[use as bounding box]}
+ \def\node{\tikz@path@overlay{node}}
+ \def\coordinate{\tikz@path@overlay{coordinate}}
+ \def\matrix{\tikz@path@overlay{node[matrix]}}
+ \def\calendar{\tikz@lib@cal@calendar}%
+}
+\ifx\tikz@lib@cal@calendar\@undefined
+\def\tikz@lib@cal@calendar{\PackageError{tikz}{You need to load the calendar library}{}}
+\fi
+
+\def\tikz@path@overlay#1{%
+ \let\tikz@signal@path=\tikz@signal@path% for detection at begin of matrix cell
+ \pgfutil@ifnextchar<{\tikz@path@overlayed{#1}}{\path #1}}
+\def\tikz@path@overlayed#1<#2>{\path<#2> #1}
+
+\def\tikz@uninstallcommands{%
+ \ifnum\the\catcode`\;=\active\relax\expandafter\let\tikz@activesemicolon=\tikz@origsemi\fi%
+ \ifnum\the\catcode`\:=\active\relax\expandafter\let\tikz@activecolon=\tikz@origcolon\fi%
+ \ifnum\the\catcode`\|=\active\relax\expandafter\let\tikz@activebar=\tikz@origbar\fi%
+ \let\scope=\tikz@origscope%
+ \let\endscope=\tikz@origendscope%
+ \let\startscope=\tikz@origstartscope%
+ \let\stopscope=\tikz@origstopscope%
+ \let\path=\tikz@origpath%
+ \let\againpath=\tikz@origagainpath%
+ \let\draw=\tikz@origdraw%
+ \let\pattern=\tikz@origpattern%
+ \let\fill=\tikz@origfill%
+ \let\filldraw=\tikz@origfilldraw%
+ \let\shade=\tikz@origshade%
+ \let\shadedraw=\tikz@origshadedraw%
+ \let\clip=\tikz@origclip%
+ \let\useasboundingbox=\tikz@origuseasboundingbox%
+ \let\node=\tikz@orignode%
+ \let\coordinate=\tikz@origcoordinate%
+ \let\matrix=\tikz@origmatrix%
+ \let\calendar=\tikz@origcalendar%
+}
+
+
+{
+ \catcode`\;=12
+ \gdef\tikz@nonactivesemicolon{;}
+ \catcode`\:=12
+ \gdef\tikz@nonactivecolon{:}
+ \catcode`\|=12
+ \gdef\tikz@nonactivebar{|}
+ \catcode`\;=\active
+ \catcode`\:=\active
+ \catcode`\|=\active
+ \catcode`\"=\active
+ \gdef\tikz@activesemicolon{;}%
+ \gdef\tikz@activecolon{:}%
+ \gdef\tikz@activebar{|}%
+ \gdef\tikz@activequotes{"}%
+ \gdef\tikz@deactivatthings{%
+ \def;{\tikz@nonactivesemicolon}
+ \def:{\tikz@nonactivecolon}
+ \def|{\tikz@nonactivebar}
+ }
+}
+
+
+
+
+
+% Constructs a path and draws/fills them according to the current
+% settings.
+
+\def\tikz@command@path{%
+ \let\tikz@signal@path=\tikz@signal@path% for detection at begin of matrix cell
+ \pgfutil@ifnextchar[{\tikz@check@earg}%]
+ {\pgfutil@ifnextchar<{\tikz@doopt}{\tikz@@command@path}}}
+\def\tikz@signal@path{\tikz@signal@path}%
+\def\tikz@check@earg[#1]{%
+ \pgfutil@ifnextchar<{\tikz@swap@args[#1]}{\tikz@@command@path[#1]}}
+\def\tikz@swap@args[#1]<#2>{\tikz@command@path<#2>[#1]}
+
+\def\tikz@doopt{%
+ \let\tikz@next=\tikz@eargnormalsemicolon%
+ \ifnum\the\catcode`\;=\active\relax%
+ \let\tikz@next=\tikz@eargactivesemicolon%
+ \fi%
+ \tikz@next}
+\long\def\tikz@eargnormalsemicolon<#1>#2;{\only<#1>{\tikz@@command@path#2;}}
+{
+ \catcode`\;=\active
+ \long\global\def\tikz@eargactivesemicolon<#1>#2;{\only<#1>{\tikz@@command@path#2;}}
+}
+
+\def\tikz@@command@path{%
+ \edef\tikzscope@linewidth{\the\pgflinewidth}%
+ \begingroup%
+ \let\tikz@options=\pgfutil@empty%
+ \let\tikz@mode=\pgfutil@empty%
+ \let\tikz@moveto@waiting=\relax%
+ \let\tikz@timer=\relax%
+ \let\tikz@collected@onpath=\pgfutil@empty%
+ \let\tikz@preactions=\pgfutil@empty%
+ \let\tikz@postactions=\pgfutil@empty%
+ \tikz@snakedfalse%
+ \tikz@decoratepathfalse%
+ \tikz@node@is@a@labelfalse%
+ \tikz@expandcount=1000\relax%
+ \tikz@lastx=0pt%
+ \tikz@lasty=0pt%
+ \tikz@lastxsaved=0pt%
+ \tikz@lastysaved=0pt%
+ \tikzset{every path/.try}%
+ \tikz@scan@next@command%
+}
+\def\tikz@scan@next@command{%
+ \ifx\tikz@collected@onpath\pgfutil@empty%
+ \else%
+ \tikz@invoke@collected@onpath%
+ \fi%
+ \afterassignment\tikz@handle\let\@let@token=%
+}
+\newcount\tikz@expandcount
+
+% Central dispatcher for commands
+\def\tikz@handle{%
+ \let\@next=\tikz@expand%
+ \ifx\@let@token(%)
+ \let\@next=\tikz@movetoabs%
+ \else%
+ \ifx\@let@token+%
+ \let\@next=\tikz@movetorel%
+ \else%
+ \ifx\@let@token-%
+ \let\@next=\tikz@lineto%
+ \else%
+ \ifx\@let@token.%
+ \let\@next=\tikz@dot%
+ \else%
+ \ifx\@let@token r%
+ \let\@next=\tikz@rect%
+ \else%
+ \ifx\@let@token n%
+ \let\@next=\tikz@fig%
+ \else%
+ \ifx\@let@token[%]
+ \let\@next=\tikz@parse@options%
+ \else%
+ \ifx\@let@token c%
+ \let\@next=\tikz@cchar%
+ \else%
+ \ifx\@let@token\bgroup%
+ \let\@next=\tikz@beginscope%
+ \else%
+ \ifx\@let@token\egroup%
+ \let\@next=\tikz@endscope%
+ \else%
+ \ifx\@let@token;%
+ \let\@next=\tikz@finish%
+ \else%
+ \let\@next=\tikz@handle@more%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \@next%
+}
+
+% Continued...
+\def\tikz@handle@more{%
+ \ifx\@let@token a%
+ \let\@next=\tikz@arcA%
+ \else%
+ \ifx\@let@token e%
+ \let\@next=\tikz@e@char%
+ \else%
+ \ifx\@let@token g%
+ \let\@next=\tikz@grid%
+ \else%
+ \ifx\@let@token s%
+ \let\@next=\tikz@sine%
+ \else%
+ \ifx\@let@token |%
+ \let\@next=\tikz@vh@lineto%
+ \else%
+ \ifx\@let@token p%
+ \let\@next=\tikz@pchar%
+ \pgfsetmovetofirstplotpoint%
+ \else%
+ \ifx\@let@token t%
+ \let\@next=\tikz@to%
+ \else%
+ \ifx\@let@token\pgfextra%
+ \let\@next=\tikz@extra%
+ \else%
+ \ifx\@let@token\foreach%
+ \let\@next=\tikz@foreach%
+ \else%
+ \ifx\@let@token\pgf@stop%
+ \let\@next=\relax%
+ \else%
+ \ifx\@let@token\par%
+ \let\@next=\tikz@scan@next@command%
+ \else%
+ \ifx\@let@token d%
+ \let\@next=\tikz@decoration%
+ \else%
+ \ifx\@let@token l%
+ \let\@next=\tikz@let@command%
+ \else%
+ \let\@next=\tikz@expand%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \@next%
+}
+
+\def\tikz@pchar{\pgfutil@ifnextchar l{\tikz@plot}{\tikz@parabola}}
+\def\tikz@cchar{%
+ \pgfutil@ifnextchar i{\tikz@circle}%
+ {\pgfutil@ifnextchar h{\tikz@children}{\tikz@cochar}}}%
+\def\tikz@cochar o{%
+ \pgfutil@ifnextchar o{\tikz@coordinate}{\tikz@cosine}}
+\def\tikz@e@char{%
+ \pgfutil@ifnextchar l{\tikz@ellipse}{\tikz@@e@char}}%
+\def\tikz@@e@char dge{%
+ \pgfutil@ifnextchar f{\tikz@edgetoparent}{\tikz@edge@plain}}%
+
+
+\def\tikz@finish{%
+ % Rendering pipeline
+ %
+ % Step 1: Decorate path
+ %
+ \iftikz@decoratepath%
+ \tikz@lib@dec@decorate@path%
+ \fi%
+ %
+ % Step 1: Preactions
+ %
+ \pgfsyssoftpath@getcurrentpath\tikz@actions@path%
+ \edef\tikz@restorepathsize{%
+ \global\pgf@pathmaxx=\the\pgf@pathmaxx%
+ \global\pgf@pathmaxy=\the\pgf@pathmaxy%
+ \global\pgf@pathminx=\the\pgf@pathminx%
+ \global\pgf@pathminy=\the\pgf@pathminy%
+ }%
+ \tikz@preactions%
+ %
+ % Reset modes
+ %
+ \tikz@mode@fillfalse%
+ \tikz@mode@drawfalse%
+ \tikz@mode@doublefalse%
+ \tikz@mode@clipfalse%
+ \tikz@mode@boundaryfalse%
+ \tikz@mode@fade@pathfalse%
+ \tikz@mode@fade@scopefalse%
+ \edef\tikz@pathextend{%
+ {\noexpand\pgfqpoint{\the\pgf@pathminx}{\the\pgf@pathminy}}%
+ {\noexpand\pgfqpoint{\the\pgf@pathmaxx}{\the\pgf@pathmaxy}}%
+ }%
+ \tikz@mode% installs the mode settings
+ % Path fading counts as an option:
+ \iftikz@mode@fade@path%
+ \tikz@addoption{%
+ \iftikz@fade@adjust%
+ \pgfsetfadingforcurrentpath{\tikz@path@fading}{\tikz@do@fade@transform}%
+ \else%
+ \pgfsetfading{\tikz@path@fading}{\tikz@do@fade@transform}%
+ \fi%
+ \tikz@mode@fade@pathfalse% no more fading...
+ }%
+ \fi%
+ % Rendering pipeline
+ %
+ % Step 2: Install scope fading
+ %
+ \iftikz@mode@fade@scope%
+ \iftikz@fade@adjust%
+ \pgfsetfadingforcurrentpath{\tikz@scope@fading}{\tikz@do@fade@transform}%
+ \else%
+ \pgfsetfading{\tikz@scope@fading}{\tikz@do@fade@transform}%
+ \fi%
+ \tikz@mode@fade@scopefalse%
+ \fi%
+ %
+ % Step 3: Setup options
+ %
+ \ifx\tikz@options\pgfutil@empty%
+ \else%
+ \pgfsys@beginscope%
+ \begingroup%
+ \tikz@options%
+ \fi%
+ %
+ % Step 4: Do a fill if shade follows.
+ %
+ \iftikz@mode@fill%
+ \iftikz@mode@shade%
+ \pgfsyssoftpath@getcurrentpath\tikz@temppath
+ \pgfprocessround{\tikz@temppath}{\tikz@temppath}% change the path
+ \pgfsyssoftpath@setcurrentpath\tikz@temppath%
+ \pgfsyssoftpath@invokecurrentpath%
+ \pgfsys@fill%
+ \tikz@mode@fillfalse% no more filling...
+ \fi%
+ \fi%
+ %
+ % Step 5: Do a shade if necessary.
+ %
+ \iftikz@mode@shade%
+ \pgfsyssoftpath@getcurrentpath\tikz@temppath
+ \pgfprocessround{\tikz@temppath}{\tikz@temppath}% change the path
+ \pgfsyssoftpath@setcurrentpath\tikz@temppath%
+ \pgfshadepath{\tikz@shading}{\tikz@shade@angle}%
+ \tikz@mode@shadefalse% no more shading...
+ \fi%
+ %
+ % Step 6: Double stroke, if necessary
+ %
+ \iftikz@mode@draw%
+ \iftikz@mode@double%
+ % Change line width
+ \begingroup%
+ \pgfsys@beginscope%
+ \pgf@x=2\pgflinewidth%
+ \advance\pgf@x by\tikz@double@width@distance%
+ \pgflinewidth=\pgf@x%
+ \pgfsetlinewidth{\the\pgflinewidth}%
+ \fi%
+ \fi%
+ %
+ % Step 7: Do stroke/fill/clip as needed
+ %
+ \edef\tikz@temp{\noexpand\pgfusepath{%
+ \iftikz@mode@fill fill,\fi%
+ \iftikz@mode@draw draw,\fi%
+ \iftikz@mode@clip clip,\fi%
+ }}%
+ \tikz@temp%
+ \tikz@mode@fillfalse% no more filling
+ %
+ % Step 8: Double stroke, if necessary
+ %
+ \iftikz@mode@draw%
+ \iftikz@mode@double%
+ \pgfsyssoftpath@setcurrentpath\pgf@last@used@path% reinstall
+ \pgf@x=\tikz@double@width@distance%
+ \pgfsetlinewidth{\the\pgf@x}%
+ \pgfsetstrokecolor{\tikz@double@color}%
+ \pgfsyssoftpath@flushcurrentpath%
+ \pgfsys@stroke%
+ \pgfsys@endscope%
+ \ifpgf@drawarrows% set in pgfusepath...
+ \pgf@add@arrows@as@needed%
+ \fi%
+ \endgroup%
+ \fi%
+ \fi%
+ \tikz@mode@drawfalse% no more stroking
+ %
+ % Step 9: Postactions
+ %
+ \tikz@postactions%
+ %
+ % Step 10: Add labels and nodes
+ %
+ \box\tikz@figbox%
+ %
+ % Step 11: Close option brace
+ %
+ \ifx\tikz@options\pgfutil@empty%
+ \else%
+ \endgroup%
+ \pgfsys@endscope%
+ \iftikz@mode@clip%
+ \PackageError{tikz}{Extra options not allowed for clipping path command.}{}%
+ \fi%
+ \fi%
+ \iftikz@mode@clip%
+ \aftergroup\pgf@relevantforpicturesizefalse%
+ \fi%
+ \iftikz@mode@boundary%
+ \aftergroup\pgf@relevantforpicturesizefalse%
+ \fi%
+ \endgroup%
+ \global\pgflinewidth=\tikzscope@linewidth%
+ \tikz@lib@scope@check%
+}
+\let\tikz@lib@scope@check\pgfutil@empty% this is a hook for the scopes library
+
+% Extra actions
+
+\def\tikz@extra@preaction#1{%
+ {%
+ \pgfsys@beginscope%
+ \setbox\tikz@figbox=\box\voidb@x%
+ \path[#1];% do extra path
+ \pgfsyssoftpath@setcurrentpath\tikz@actions@path% restore
+ \tikz@restorepathsize%
+ \pgfsys@endscope%
+ }%
+}
+
+\def\tikz@extra@postaction#1{%
+ {%
+ \pgfsys@beginscope%
+ \setbox\tikz@figbox=\box\voidb@x%
+ \tikz@restorepathsize%
+ \path[#1]\pgfextra{\pgfsyssoftpath@setcurrentpath\tikz@actions@path};% do extra path
+ \pgf@resetpathsizes%
+ \pgfsys@endscope%
+ }%
+}
+
+
+
+\def\tikz@skip#1{\tikz@scan@next@command#1}
+\def\tikz@expand{%
+ \advance\tikz@expandcount by -1%
+ \ifnum\tikz@expandcount<0\relax%
+ \PackageError{tikz}{Giving up on this path. Did you forget a semicolon?}{}%
+ \let\@next=\tikz@finish%
+ \else%
+ \let\@next=\tikz@@expand
+ \fi%
+ \@next}
+
+\def\tikz@@expand{%
+ \expandafter\tikz@scan@next@command\@let@token}
+
+
+
+% Syntax for scopes:
+% {scoped path commands}
+
+\def\tikz@beginscope{\begingroup\tikz@scan@next@command}
+\def\tikz@endscope{%
+ \global\setbox\tikz@tempbox=\box\tikz@figbox%
+ \xdef\tikz@scope@save@lastx{\the\tikz@lastx}%
+ \xdef\tikz@scope@save@lasty{\the\tikz@lasty}%
+ \iftikz@current@point@local%
+ \endgroup%
+ \else%
+ \xdef\tikz@scope@save@lastxsaved{\the\tikz@lastxsaved}%
+ \xdef\tikz@scope@save@lastysaved{\the\tikz@lastysaved}%
+ \endgroup%
+ \tikz@lastxsaved=\tikz@scope@save@lastxsaved%
+ \tikz@lastysaved=\tikz@scope@save@lastysaved%
+ \fi%
+ \tikz@lastx=\tikz@scope@save@lastx%
+ \tikz@lasty=\tikz@scope@save@lasty%
+ \setbox\tikz@figbox=\box\tikz@tempbox%
+ \tikz@scan@next@command}
+
+
+% Syntax for pgfextra:
+% \pgfextra {normal tex text}
+% \pgfextra normal tex text \endpgfextra
+
+\def\tikz@extra{\pgfutil@ifnextchar\bgroup\tikz@@extra\relax}
+\long\def\tikz@@extra#1{#1\tikz@scan@next@command}
+\let\endpgfextra=\tikz@scan@next@command
+
+\def\pgfextra{pgfextra}
+
+
+% Syntax for \foreach:
+% \foreach \var in {list} {path text}
+%
+% Example:
+%
+% \draw (0,0) \foreach \x in {1,2,3} {-- (\x,0) circle (1cm)} -- (5,5);
+
+\def\tikz@foreach{%
+ \def\pgffor@beginhook{\setbox\tikz@figbox=\box\tikz@tempbox\expandafter\tikz@scan@next@command\pgfutil@firstofone}%
+ \def\pgffor@endhook{\pgfextra{%
+ \xdef\tikz@foreach@save@lastx{\the\tikz@lastx}%
+ \xdef\tikz@foreach@save@lasty{\the\tikz@lasty}%
+ \xdef\tikz@foreach@save@lastxsaved{\the\tikz@lastxsaved}%
+ \xdef\tikz@foreach@save@lastysaved{\the\tikz@lastysaved}%
+ \global\setbox\tikz@tempbox=\copy\tikz@figbox\pgfutil@gobble}}%
+ \def\pgffor@afterhook{%
+ \tikz@lastx=\tikz@foreach@save@lastx%
+ \tikz@lasty=\tikz@foreach@save@lasty%
+ \tikz@lastxsaved=\tikz@foreach@save@lastxsaved%
+ \tikz@lastysaved=\tikz@foreach@save@lastysaved%
+ \setbox\tikz@figbox=\box\tikz@tempbox\tikz@scan@next@command}%
+ \global\setbox\tikz@tempbox=\copy\tikz@figbox%
+ \foreach}
+
+
+% Syntax for againpath:
+% \againpath \somepathname
+
+\def\tikz@command@againpath#1{%
+ \pgfextra{%
+ \pgfsyssoftpath@getcurrentpath\tikz@temp%
+ \expandafter\pgfutil@g@addto@macro\expandafter\tikz@temp\expandafter{#1}%
+ \pgfsyssoftpath@setcurrentpath\tikz@temp%
+ }
+}
+
+
+
+
+%
+% When this if is set, a just-scanned point is a shape and its border
+% position still needs to be determined, depending on subsequent
+% commands.
+%
+
+\newif\iftikz@shapeborder
+
+
+% Syntax for moveto:
+% <point>
+\def\tikz@movetoabs{\tikz@moveto(}
+\def\tikz@movetorel{\tikz@moveto+}
+\def\tikz@moveto{%
+ \tikz@scan@one@point{\tikz@@moveto}}
+\def\tikz@@moveto#1{%
+ \tikz@make@last@position{#1}%
+ \iftikz@shapeborder%
+ % ok, the moveto will have to wait. flag that we have a moveto in
+ % wainting:
+ \edef\tikz@moveto@waiting{\tikz@shapeborder@name}%
+ \else%
+ \pgfpathmoveto{\tikz@last@position}%
+ \let\tikz@moveto@waiting=\relax%
+ \fi%
+ \tikz@scan@next@command%
+}
+
+\let\tikz@moveto@waiting=\relax % normally, nothing is waiting...
+
+\def\tikz@flush@moveto{%
+ \ifx\tikz@moveto@waiting\relax%
+ \else%
+ \pgfpathmoveto{\tikz@last@position}%
+ \fi%
+ \let\tikz@moveto@waiting=\relax%
+}
+
+
+\def\tikz@flush@moveto@toward#1#2#3{%
+ % #1 = a point towards which the last moveto should be corrected
+ % #2 = a dimension to which the corrected x-coordinate should be stored
+ % #3 = a dimension for the corrected y-coordinate
+ \ifx\tikz@moveto@waiting\relax%
+ % do nothing
+ \else%
+ \pgf@process{\pgfpointshapeborder{\tikz@moveto@waiting}{#1}}%
+ #2=\pgf@x%
+ #3=\pgf@y%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
+ \pgfpathmoveto{\pgfqpoint{\pgf@x}{\pgf@y}}%
+ \fi%
+ \let\tikz@moveto@waiting=\relax%
+}
+
+
+%
+% Collecting labels on the path
+%
+
+\def\tikz@collect@coordinate@onpath#1coordinate{%
+ \pgfutil@ifnextchar[{\tikz@@collect@coordinate@opt#1}{\tikz@@collect@coordinate@opt#1[]}}%}
+\def\tikz@@collect@coordinate@opt#1[#2]{%
+ \pgfutil@ifnextchar({\tikz@@collect@coordinate#1[#2]}{%
+ \tikz@collect@label@onpath#1node[shape=coordinate,#2]{}}}%}
+\def\tikz@@collect@coordinate#1[#2](#3){%
+ \tikz@collect@label@onpath#1node[shape=coordinate,#2](#3){}}
+
+\def\tikz@collect@label@onpath#1node{%
+ \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath node}%
+ \tikz@collect@label@scan#1}
+
+\def\tikz@collect@label@scan#1{%
+ \pgfutil@ifnextchar({\tikz@collect@paran#1}%
+ {\pgfutil@ifnextchar[{\tikz@collect@options#1}%
+ {\pgfutil@ifnextchar\bgroup{\tikz@collect@arg#1}%
+ {#1}}}%
+}%}}
+
+\def\tikz@collect@paran#1(#2){%
+ \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath(#2)}%
+ \tikz@collect@label@scan#1%
+}
+\def\tikz@collect@options#1[#2]{%
+ \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath[#2]}%
+ \tikz@collect@label@scan#1%
+}
+\def\tikz@collect@arg#1#2{%
+ \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath{#2}}%
+ #1%
+}
+
+
+\def\tikz@invoke@collected@onpath{%
+ \tikz@node@is@a@labeltrue%
+ \let\tikz@temp=\tikz@collected@onpath%
+ \let\tikz@collected@onpath=\pgfutil@empty%
+ \expandafter\tikz@scan@next@command\tikz@temp\pgf@stop%
+ \tikz@node@is@a@labelfalse%
+}
+
+
+
+
+% Syntax for lineto:
+% -- <point>
+
+\def\tikz@lineto{%
+ \pgfutil@ifnextchar |%
+ {\expandafter\tikz@hv@lineto\pgfutil@gobble}%
+ {\expandafter\pgfutil@ifnextchar\tikz@activebar{\expandafter\tikz@hv@lineto\pgfutil@gobble}%
+ {\expandafter\tikz@lineto@mid\pgfutil@gobble}}}
+\def\tikz@lineto@mid{%
+ \pgfutil@ifnextchar n{\tikz@collect@label@onpath\tikz@lineto@mid}%
+ {%
+ \pgfutil@ifnextchar c{\tikz@close}{%
+ \pgfutil@ifnextchar p{\pgfsetlinetofirstplotpoint\expandafter\tikz@plot\pgfutil@gobble}%
+ {\tikz@scan@one@point{\tikz@@lineto}}}}}
+\def\tikz@@lineto#1{%
+ % Record the starting point for later labels on the path:
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}
+ \iftikz@shapeborder%
+ % ok, target is a shape. recalculate end
+ \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\tikz@last@position}}%
+ \tikz@make@last@position{\pgfqpoint{\pgf@x}{\pgf@y}}%
+ \tikz@flush@moveto@toward{\tikz@last@position}\pgf@x\pgf@y%
+ \tikz@path@lineto{\tikz@last@position}%
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \tikz@make@last@position{#1}%
+ \edef\tikz@moveto@waiting{\tikz@shapeborder@name}%
+ \else%
+ % target is a reasonable point...
+ % Record the starting point for later labels on the path:
+ \tikz@make@last@position{#1}%
+ \tikz@flush@moveto@toward{\tikz@last@position}\pgf@x\pgf@y%
+ \tikz@path@lineto{\tikz@last@position}%
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \fi%
+ \let\tikz@timer=\tikz@timer@line%
+ \tikz@scan@next@command%
+}
+
+% snake or lineto?
+\def\tikz@path@lineto#1{%
+ \iftikz@snaked%
+ {
+ \pgfsyssoftpathmovetorelevantfalse%
+ \pgfpathsnakesto{\tikz@presnake,{\tikz@snake}{\tikz@mainsnakelength}{\noexpand\tikz@snake@install@trans}{},\tikz@postsnake}{#1}%
+ }
+ \else%
+ \pgfpathlineto{#1}%
+ \fi%
+}
+
+% snake or lineto?
+\def\tikz@path@close#1{%
+ \iftikz@snaked%
+ {%
+ \pgftransformreset%
+ \pgfpathsnakesto{\tikz@presnake,{\tikz@snake}{\tikz@mainsnakelength}{\noexpand\tikz@snake@install@trans}{},\tikz@postsnake}{#1}%
+ }%
+ \fi%
+ \pgfpathclose%
+}
+
+
+% Syntax for lineto horizontal/vertical:
+% -| <point>
+
+\def\tikz@hv@lineto{%
+ \pgfutil@ifnextchar n
+ {\tikz@collect@label@onpath\tikz@hv@lineto}
+ {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@hv@lineto}%
+ {\tikz@scan@one@point{\tikz@@hv@lineto}}}}
+\def\tikz@@hv@lineto#1{%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \pgf@yc=\tikz@lasty%
+ \tikz@make@last@position{#1}%
+ \tikz@flush@moveto@toward{\pgfqpoint{\tikz@lastx}{\pgf@yc}}\pgf@x\pgf@yc%
+ \iftikz@shapeborder%
+ % ok, target is a shape. have to work now:
+ {%
+ \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\pgfqpoint{\tikz@lastx}{\pgf@yc}}}%
+ \tikz@make@last@position{\pgfqpoint{\pgf@x}{\pgf@y}}%
+ \tikz@path@lineto{\pgfqpoint{\tikz@lastx}{\pgf@yc}}%
+ \tikz@path@lineto{\tikz@last@position}%
+ \xdef\tikz@timer@end@temp{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}% move out of group
+ }%
+ \let\tikz@timer@end=\tikz@timer@end@temp%
+ \edef\tikz@moveto@waiting{\tikz@shapeborder@name}%
+ \else%
+ \tikz@path@lineto{\pgfqpoint{\tikz@lastx}{\pgf@yc}}%
+ \tikz@path@lineto{\tikz@last@position}%
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}% move out of group
+ \fi%
+ \let\tikz@timer=\tikz@timer@hvline%
+ \tikz@scan@next@command%
+}
+
+% Syntax for lineto vertical/horizontal:
+% |- <point>
+
+\def\tikz@vh@lineto-{\tikz@vh@lineto@next}
+\def\tikz@vh@lineto@next{%
+ \pgfutil@ifnextchar n
+ {\tikz@collect@label@onpath\tikz@vh@lineto@next}
+ {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@vh@lineto@next}%
+ {\tikz@scan@one@point\tikz@@vh@lineto}}}
+\def\tikz@@vh@lineto#1{%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \pgf@xc=\tikz@lastx%
+ \tikz@make@last@position{#1}%
+ \tikz@flush@moveto@toward{\pgfqpoint{\pgf@xc}{\tikz@lasty}}\pgf@xc\pgf@y%
+ \iftikz@shapeborder%
+ % ok, target is a shape. have to work now:
+ {%
+ \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\pgfqpoint{\pgf@xc}{\tikz@lasty}}}%
+ \tikz@make@last@position{\pgfqpoint{\pgf@x}{\pgf@y}}%
+ \tikz@path@lineto{\pgfqpoint{\pgf@xc}{\tikz@lasty}}%
+ \tikz@path@lineto{\tikz@last@position}%
+ \xdef\tikz@timer@end@temp{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}% move out of group
+ }%
+ \let\tikz@timer@end=\tikz@timer@end@temp%
+ \edef\tikz@moveto@waiting{\tikz@shapeborder@name}%
+ \else%
+ \tikz@path@lineto{\pgfqpoint{\pgf@xc}{\tikz@lasty}}%
+ \tikz@path@lineto{\tikz@last@position}%
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \fi%
+ \let\tikz@timer=\tikz@timer@vhline%
+ \tikz@scan@next@command%
+}
+
+% Syntax for cycle:
+% -- cycle
+\def\tikz@close c{%
+ \pgfutil@ifnextchar o{\tikz@collect@coordinate@onpath\tikz@lineto@mid c}% oops, a coordinate
+ {\tikz@@close c}}%
+\def\tikz@@close cycle{%
+ \tikz@flush@moveto%
+ \tikz@path@close{\expandafter\pgfpoint\pgfsyssoftpath@lastmoveto}%
+ \def\pgfstrokehook{}%
+ \let\tikz@timer=\@undefined%
+ \tikz@scan@next@command%
+}
+
+
+% Syntax for options:
+% [options]
+\def\tikz@parse@options#1]{%
+ \tikzset{#1}%
+ \tikz@lib@dec@hook% for decorations...
+ \tikz@scan@next@command%
+}
+\let\tikz@lib@dec@hook=\relax
+
+% Syntax for edges:
+% edge [options] (coordinate)
+% edge [options] node {node text} (coordinate)
+\def\tikz@edge@plain{%
+ \begingroup%
+ \tikz@to@use@whom%
+ \let\tikz@to@or@edge@function=\tikz@do@edge%
+ \tikz@to@or@edge}
+
+% Syntax for to paths:
+% to [options] (coordinate)
+% to [options] node {node text} (coordinate)
+\def\tikz@to o{%
+ \tikz@to@use@last@coordinate%
+ \let\tikz@to@or@edge@function=\tikz@do@to%
+ \tikz@to@or@edge}
+
+\def\tikz@to@or@edge{\pgfutil@ifnextchar[\tikz@@to@or@edge{\tikz@@to@or@edge[]}}%}
+\def\tikz@@to@or@edge[#1]{%
+ \def\tikz@@to@local@options{[#1]}%
+ \let\tikz@collected@onpath=\pgfutil@empty%
+ \tikz@@to@collect%
+}
+\def\tikz@@to@collect{%
+ \pgfutil@ifnextchar(\tikz@@to@or@edge@coordinate
+ {\pgfutil@ifnextchar n{\tikz@collect@label@onpath\tikz@@to@collect}%
+ {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@@to@collect}
+ {\PackageError{tikz}{( expected}{}%}
+ \tikz@@to@or@edge@coordinate()}}}%
+}
+
+\def\tikz@@to@or@edge@coordinate({%
+ \pgfutil@ifnextchar${%$
+ % Ok, parse directly
+ \tikz@scan@one@point\tikz@@to@or@edge@math(%
+ }{%
+ \pgfutil@ifnextchar[{%]
+ \tikz@scan@one@point\tikz@@to@or@edge@math(%
+ }{%
+ \tikz@@to@or@edge@@coordinate(%
+ }%
+ }%
+}
+\def\tikz@@to@or@edge@math#1{%
+ \pgf@process{#1}%
+ \edef\tikztotarget{\the\pgf@x,\the\pgf@y}%
+ \tikz@to@or@edge@function%
+}
+
+\def\tikz@@to@or@edge@@coordinate(#1){%
+ \def\tikztotarget{#1}%
+ \tikz@to@or@edge@function%
+}
+
+\def\tikz@do@edge{%
+ \setbox\tikz@figbox=\hbox\bgroup%
+ \unhbox\tikz@figbox%
+ \hbox\bgroup
+ \bgroup%
+ \pgfinterruptpath%
+ \pgfscope%
+ \let\tikz@transform=\pgfutil@empty%
+ \let\tikz@options=\pgfutil@empty%
+ \let\tikz@tonodes=\tikz@collected@onpath%
+ \def\tikztonodes{{\pgfextra{\tikz@node@is@a@labeltrue}\tikz@tonodes}}%
+ \let\tikz@collected@onpath=\pgfutil@empty%
+ \tikz@options%
+ \tikz@transform%
+ % Typeset node:
+ \tikz@atbegin@to%
+ \path[style=every edge]\tikz@@to@local@options(\tikztostart)\tikz@to@path;%
+ \tikz@atend@to%
+ \endpgfscope%
+ \endpgfinterruptpath%
+ \egroup
+ \egroup%
+ \egroup%
+ \global\setbox\tikz@tempbox=\copy\tikz@figbox%
+ \endgroup%
+ \setbox\tikz@figbox=\box\tikz@tempbox%
+ \tikz@scan@next@command%
+}
+
+\def\tikz@do@to{%
+ \let\tikz@tonodes=\tikz@collected@onpath%
+ \def\tikztonodes{{\pgfextra{\tikz@node@is@a@labeltrue}\tikz@tonodes}}%
+ \let\tikz@collected@onpath=\pgfutil@empty%
+ \tikz@scan@next@command%
+ \pgfextra{\tikz@atbegin@to}%
+ [style=every to]\tikz@@to@local@options\tikz@to@path%
+ \pgfextra{\tikz@atend@to}%
+}
+
+
+\def\tikz@to@use@last@coordinate{%
+ \iftikz@shapeborder%
+ \edef\tikztostart{\tikz@shapeborder@name}%
+ \else%
+ \edef\tikztostart{\the\tikz@lastx,\the\tikz@lasty}%
+ \fi%
+}
+\def\tikz@to@use@last@fig@name{%
+ \edef\tikztostart{\tikz@to@last@fig@name}%
+}
+
+
+
+% Syntax for edge from parent:
+% edge from parent [options]
+\def\tikz@edgetoparent from parent{\pgfutil@ifnextchar[\tikz@@edgetoparent{\tikz@@edgetoparent[]}}%}
+\def\tikz@@edgetoparent[#1]{%
+ \let\tikz@edge@to@parent@needed=\pgfutil@empty%
+ \tikz@node@is@a@labeltrue%
+ \tikz@scan@next@command [style=edge from parent,#1] \tikz@edge@to@parent@path%
+}
+
+
+% Syntax for bezier curves
+% .. controls(point) and (point) .. (target)
+% .. controls(point) .. (target)
+% .. (target) % currently not supported
+
+\def\tikz@dot.{\tikz@@dot}%
+\def\tikz@@dot{%
+ \pgfutil@ifnextchar n%
+ {\tikz@collect@label@onpath\tikz@@dot}%
+ {\pgfutil@ifnextchar c{\tikz@curveto@double}{\tikz@curveto@auto}}}
+
+\def\tikz@curveto@double co{%
+ \pgfutil@ifnextchar o{\tikz@collect@coordinate@onpath\tikz@@dot co}
+ {\tikz@cureveto@@double}}
+\def\tikz@cureveto@@double ntrols#1{%
+ \tikz@scan@one@point\tikz@curveA#1%
+}
+\def\tikz@curveA#1{%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ {%
+ \tikz@make@last@position{#1}%
+ \xdef\tikz@curve@first{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ }%
+ \pgfutil@ifnextchar a
+ {\tikz@curveBand}%
+ {\let\tikz@curve@second\tikz@curve@first\tikz@curveCdots}%
+}
+\def\tikz@curveBand and{%
+ \tikz@scan@one@point\tikz@curveB%
+}
+\def\tikz@curveB#1{%
+ \def\tikz@curve@second{#1}%
+ \tikz@curveCdots}
+\def\tikz@curveCdots{%
+ \afterassignment\tikz@curveCdot\let\@next=}
+\def\tikz@curveCdot.{%
+ \ifx\@next.%
+ \else%
+ \PackageError{tikz}{Dot expected}{}%
+ \fi%
+ \tikz@updatecurrenttrue%
+ \tikz@curveCcheck%
+}
+\def\tikz@curveCcheck{%
+ \pgfutil@ifnextchar n%
+ {\tikz@collect@label@onpath\tikz@curveCcheck}
+ {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@curveCcheck}
+ {\tikz@scan@one@point\tikz@curveC}}%
+}
+\def\tikz@curveC#1{%
+ \tikz@make@last@position{#1}%
+ \edef\tikz@curve@third{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ {%
+ \tikz@lastxsaved=\tikz@lastx%
+ \tikz@lastysaved=\tikz@lasty%
+ \tikz@make@last@position{\tikz@curve@second}%
+ \xdef\tikz@curve@second{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ }%
+ %
+ % Start recalculating things in case start and end are shapes.
+ %
+ % First, the start:
+ \ifx\tikz@moveto@waiting\relax%
+ \else%
+ \pgf@process{\pgfpointshapeborder{\tikz@moveto@waiting}{\tikz@curve@first}}%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}%
+ \pgfpathmoveto{\pgfqpoint{\pgf@x}{\pgf@y}}%
+ \fi%
+ \let\tikz@timer@cont@one=\tikz@curve@first%
+ \let\tikz@timer@cont@two=\tikz@curve@second%
+ % Second, the end:
+ \iftikz@shapeborder%
+ % ok, target is a shape. recalculate third
+ {%
+ \pgf@process{\pgfpointshapeborder{\tikz@shapeborder@name}{\tikz@curve@second}}%
+ \tikz@make@last@position{\pgfqpoint{\pgf@x}{\pgf@y}}%
+ \edef\tikz@curve@third{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \pgfpathcurveto{\tikz@curve@first}{\tikz@curve@second}{\tikz@curve@third}%
+ \global\let\tikz@timer@end@temp=\tikz@curve@third% move out of group
+ }%
+ \let\tikz@timer@end=\tikz@timer@end@temp%
+ \edef\tikz@moveto@waiting{\tikz@shapeborder@name}%
+ \else%
+ \pgfpathcurveto{\tikz@curve@first}{\tikz@curve@second}{\tikz@curve@third}%
+ \let\tikz@timer@end=\tikz@curve@third
+ \let\tikz@moveto@waiting=\relax%
+ \fi%
+ \let\tikz@timer=\tikz@timer@curve%
+ \tikz@scan@next@command%
+}
+
+
+% Syntax for rectangles:
+% rectangle <corner point>
+\def\tikz@rect ectangle{%
+ \tikz@flush@moveto%
+ \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \tikz@@rect}%
+\def\tikz@@rect{%
+ \pgfutil@ifnextchar n
+ {\tikz@collect@label@onpath\tikz@@rect}
+ {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@@rect}%
+ {
+ \pgf@xa=\tikz@lastx\relax%
+ \pgf@ya=\tikz@lasty\relax%
+ \tikz@scan@one@point\tikz@rectB}}}
+\def\tikz@rectB#1{%
+ \tikz@make@last@position{#1}%
+ \edef\tikz@timer@end{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \let\tikz@timer=\tikz@timer@line%
+ \pgfpathmoveto{\pgfqpoint{\pgf@xa}{\pgf@ya}}%
+ \tikz@path@lineto{\pgfqpoint{\pgf@xa}{\tikz@lasty}}%
+ \tikz@path@lineto{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}%
+ \tikz@path@lineto{\pgfqpoint{\tikz@lastx}{\pgf@ya}}%
+ \iftikz@snaked%
+ \tikz@path@lineto{\pgfqpoint{\pgf@xa}{\pgf@ya}}%
+ \fi%
+ \pgfpathclose%
+ \pgfpathmoveto{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}%
+ \def\pgfstrokehook{}%
+ \tikz@scan@next@command%
+}
+
+
+
+% Syntax for grids:
+% grid <corner point>
+\def\tikz@grid rid{%
+ \tikz@flush@moveto%
+ \pgf@xa=\tikz@lastx\relax%
+ \pgf@ya=\tikz@lasty\relax%
+ \pgfutil@ifnextchar[{\tikz@gridA}{\tikz@gridA[]}}%}
+\def\tikz@gridA[#1]{%
+ \def\tikz@grid@options{#1}%
+ \tikz@scan@one@point\tikz@gridB}%
+\def\tikz@gridB#1{%
+ \tikz@make@last@position{#1}%
+ {%
+ \expandafter\tikzset\expandafter{\tikz@grid@options}
+ \tikz@checkunit{\tikz@grid@x}%
+ \iftikz@isdimension%
+ \pgf@process{\pgfpoint{\tikz@grid@x}{0pt}}%
+ \else%
+ \pgf@process{\pgfpointxy{\tikz@grid@x}{0}}%
+ \fi%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \tikz@checkunit{\tikz@grid@y}%
+ \iftikz@isdimension%
+ \pgf@process{\pgfpoint{0pt}{\tikz@grid@y}}%
+ \else%
+ \pgf@process{\pgfpointxy{0}{\tikz@grid@y}}%
+ \fi%
+ \advance\pgf@xb by\pgf@x%
+ \advance\pgf@yb by\pgf@y%
+ \pgfpathgrid[stepx=\pgf@xb,stepy=\pgf@yb]%
+ {\pgfqpoint{\pgf@xa}{\pgf@ya}}{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}%
+ }
+ \tikz@scan@next@command%
+}
+
+
+
+% Syntax for plot:
+% plot [local options] ... % starts with a moveto
+% -- plot [local options] ... % starts with a lineto
+\def\tikz@plot lot{%
+ \tikz@flush@moveto%
+ \pgfutil@ifnextchar[{\tikz@@plot}{\tikz@@plot[]}}%}
+\def\tikz@@plot[#1]{%
+ \begingroup%
+ \let\tikz@options=\pgfutil@empty%
+ \tikzset{every plot/.try}%
+ \tikzset{#1}%
+ \pgfutil@ifnextchar f{\tikz@plot@f}%
+ {\pgfutil@ifnextchar c{\tikz@plot@scan@points}%
+ {\pgfutil@ifnextchar ({\tikz@plot@expression}{%
+ \PackageError{tikz}{Cannot parse this plotting data}{}%
+ \endgroup}}}}
+\def\tikz@plot@f f{\pgfutil@ifnextchar i{\tikz@plot@file}{\tikz@plot@function}}
+
+\def\tikz@plot@file ile#1{\def\tikz@plot@data{\pgfplotxyfile{#1}}\tikz@@@plot}%
+\def\tikz@plot@scan@points coordinates#1{%
+ \pgfplothandlerrecord\tikz@plot@data%
+ \pgfplotstreamstart%
+ \pgfutil@ifnextchar\pgf@stop{\pgfplotstreamend\expandafter\tikz@@@plot\pgfutil@gobble}
+ {\tikz@scan@one@point\tikz@plot@next@point}%
+ #1\pgf@stop%
+}
+\def\tikz@plot@next@point#1{%
+ \pgfplotstreampoint{#1}%
+ \pgfutil@ifnextchar\pgf@stop{\pgfplotstreamend\expandafter\tikz@@@plot\pgfutil@gobble}%
+ {\tikz@scan@one@point\tikz@plot@next@point}%
+}
+\def\tikz@plot@function unction#1{%
+ \def\tikz@plot@filename{\tikz@plot@prefix\tikz@plot@id}%
+ \iftikz@plot@raw@gnuplot%
+ \def\tikz@plot@data{\pgfplotgnuplot[\tikz@plot@filename]{#1}}%
+ \else%
+ \iftikz@plot@parametric%
+ \def\tikz@plot@data{\pgfplotgnuplot[\tikz@plot@filename]{%
+ set samples \tikz@plot@samples;
+ set parametric;
+ plot [t=\tikz@plot@domain] #1}}%
+ \else%
+ \def\tikz@plot@data{\pgfplotgnuplot[\tikz@plot@filename]{%
+ set samples \tikz@plot@samples;
+ plot [x=\tikz@plot@domain] #1}}%
+ \fi%
+ \fi%
+ \tikz@@@plot%
+}
+
+\def\tikz@plot@no@resample{%
+ \pgfutil@IfFileExists{\tikz@plot@filename.table}%
+ {\def\tikz@plot@data{\pgfplotxyfile{\tikz@plot@filename.table}}}%
+ {}%
+}
+
+\def\tikz@plot@expression(#1){%
+ \edef\tikz@plot@data{\noexpand\pgfplotfunction{\expandafter\noexpand\tikz@plot@var}{\tikz@plot@samplesat}}%
+ \expandafter\def\expandafter\tikz@plot@data\expandafter{\tikz@plot@data{\tikz@scan@one@point\pgfutil@firstofone(#1)}}%
+ \tikz@@@plot%
+}
+
+\def\tikz@@@plot{%
+ \def\pgfplotlastpoint{\pgfpointorigin}%
+ \tikz@plot@handler%
+ \tikz@plot@data%
+ \global\let\tikz@@@temp=\pgfplotlastpoint%
+ \ifx\tikz@plot@mark\pgfutil@empty%
+ \else%
+ % Marks are drawn after the path.
+ \setbox\tikz@figbox=\hbox{%
+ \unhbox\tikz@figbox%
+ \hbox{{%
+ \pgfinterruptpath%
+ \pgfscope%
+ \let\tikz@options=\pgfutil@empty%
+ \let\tikz@transform=\pgfutil@empty%
+ \expandafter\tikzset\expandafter{\tikz@plot@mark@options}%
+ \tikz@options%
+ \ifx\tikz@mark@list\pgfutil@empty%
+ \pgfplothandlermark{\tikz@transform\pgfuseplotmark{\tikz@plot@mark}}%
+ \else
+ \pgfplothandlermarklisted{\tikz@transform\pgfuseplotmark{\tikz@plot@mark}}{\tikz@mark@list}%
+ \fi
+ \tikz@plot@data%
+ \endpgfscope
+ \endpgfinterruptpath%
+ }}%
+ }%
+ \fi%
+ \global\setbox\tikz@tempbox=\copy\tikz@figbox%
+ \endgroup%
+ \setbox\tikz@figbox=\box\tikz@tempbox%
+ \tikz@make@last@position{\tikz@@@temp}%
+ \tikz@scan@next@command%
+}
+
+
+\pgfdeclareplotmark{ball}
+{%
+ \def\tikz@shading{ball}%
+ \shade (0,0) circle (\pgfplotmarksize);%
+}
+
+
+
+
+% Syntax for cosine curves:
+% cos <end of quarter-period>
+\def\tikz@cosine s{\tikz@scan@one@point\tikz@@cosine}
+\def\tikz@@cosine#1{%
+ \tikz@flush@moveto%
+ \pgf@process{#1}%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \advance\pgf@xc by-\tikz@lastx%
+ \advance\pgf@yc by-\tikz@lasty%
+ \advance\tikz@lastx by\pgf@xc%
+ \advance\tikz@lasty by\pgf@yc%
+ \tikz@lastxsaved=\tikz@lastx%
+ \tikz@lastysaved=\tikz@lasty%
+ \tikz@updatecurrenttrue%
+ \pgfpathcosine{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ \tikz@scan@next@command%
+}
+
+% Syntax for sine curves:
+% sin <end of quarter-period>
+\def\tikz@sine in{\tikz@scan@one@point\tikz@@sine}
+\def\tikz@@sine#1{%
+ \tikz@flush@moveto%
+ \pgf@process{#1}%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \advance\pgf@xc by-\tikz@lastx%
+ \advance\pgf@yc by-\tikz@lasty%
+ \advance\tikz@lastx by\pgf@xc%
+ \advance\tikz@lasty by\pgf@yc%
+ \tikz@lastxsaved=\tikz@lastx%
+ \tikz@lastysaved=\tikz@lasty%
+ \tikz@updatecurrenttrue%
+ \pgfpathsine{\pgfqpoint{\pgf@xc}{\pgf@yc}}%
+ \tikz@scan@next@command%
+}
+
+% Syntax for parabolas:
+% parabola[options] bend <coordinate> <coordinate>
+\def\tikz@parabola arabola{%
+ \pgfutil@ifnextchar[{\tikz@parabola@options}{\tikz@parabola@options[]}}%}
+
+\def\tikz@parabola@options[#1]{%
+ \def\tikz@parabola@option{#1}%
+ \pgfutil@ifnextchar b{\tikz@parabola@scan@bend}{\tikz@scan@one@point\tikz@parabola@semifinal}}
+\def\tikz@parabola@scan@bend bend{\tikz@scan@one@point\tikz@parabola@scan@bendB}
+\def\tikz@parabola@scan@bendB#1{%
+ \def\tikz@parabola@bend{#1}%
+ \tikz@scan@one@point\tikz@parabola@semifinal%
+}
+\def\tikz@parabola@semifinal#1{%
+ \tikz@flush@moveto%
+ % Save original start:
+ \pgf@xb=\tikz@lastx%
+ \pgf@yb=\tikz@lasty%
+ \tikz@make@last@position{#1}%
+ \pgf@xc=\tikz@lastx%
+ \pgf@yc=\tikz@lasty%
+ \begingroup% now calculate bend:
+ \expandafter\tikzset\expandafter{\tikz@parabola@option}%
+ \tikz@lastxsaved=\tikz@parabola@bend@factor\tikz@lastx%
+ \tikz@lastysaved=\tikz@parabola@bend@factor\tikz@lasty%
+ \advance\tikz@lastxsaved by\pgf@xb%
+ \advance\tikz@lastysaved by\pgf@yb%
+ \advance\tikz@lastxsaved by-\tikz@parabola@bend@factor\pgf@xb%
+ \advance\tikz@lastysaved by-\tikz@parabola@bend@factor\pgf@yb%
+ \expandafter\tikz@make@last@position\expandafter{\tikz@parabola@bend}%
+ % Calculate delta from bend
+ \advance\pgf@xc by-\tikz@lastx%
+ \advance\pgf@yc by-\tikz@lasty%
+ % Ok, now calculate delta to bend
+ \advance\tikz@lastx by-\pgf@xb%
+ \advance\tikz@lasty by-\pgf@yb%
+ \xdef\tikz@parabola@b{{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}{\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}}%
+ \endgroup%
+ \expandafter\pgfpathparabola\tikz@parabola@b%
+ \tikz@scan@next@command%
+}
+
+
+% Syntax for circles:
+% circle (radius)
+%
+% Syntax for ellipses:
+% ellipse (x-radius and y-radius)
+%
+% radii can be dimensionless, then they are in the xy-system
+\def\tikz@circle ircle{\tikz@flush@moveto\tikz@@circle}
+\def\tikz@ellipse llipse{\tikz@flush@moveto\tikz@@circle}
+\def\tikz@@circle{%
+ \pgfutil@ifnextchar(\tikz@@@circle{%)
+ \advance\tikz@expandcount by -1%
+ \ifnum\tikz@expandcount<0\relax%
+ \let\@next=\tikz@@circle@scangiveup%
+ \else%
+ \let\@next=\tikz@@circle@scanexpand%
+ \fi%
+ \@next%
+ }%
+}
+\def\tikz@@circle@scanexpand{\expandafter\tikz@@circle}
+\def\tikz@@circle@scangiveup#1{\PackageError{tikz}{Cannot parse this radius}{}#1{\tikz@scan@next@command}}
+\def\tikz@@@circle(#1){%
+ \pgfutil@in@{ and }{#1}%
+ \ifpgfutil@in@%
+ \tikz@@ellipseB(#1)%
+ \else%
+ \tikz@@ellipseB({#1} and {#1})%
+ \fi%
+ \tikz@scan@next@command%
+}
+\def\tikz@@ellipseB(#1 and #2){%
+ \pgfmathparse{#1}%
+ \let\tikz@ellipse@x=\pgfmathresult%
+ \ifpgfmathunitsdeclared%
+ \pgfmathparse{#2}%
+ \let\tikz@ellipse@y=\pgfmathresult%
+ \ifpgfmathunitsdeclared%
+ \pgfpathellipse{\tikz@last@position}{%
+ \pgfqpoint{\tikz@ellipse@x pt}{0pt}}{\pgfpoint{0pt}{\tikz@ellipse@y pt}}%
+ \else%
+ \PackageError{tikz}{You cannot mix dimensions and dimensionless values in an ellipse}{}%
+ \fi%
+ \else%
+ \pgfmathparse{#2}%
+ \let\tikz@ellipse@y=\pgfmathresult%
+ \ifpgfmathunitsdeclared%
+ \PackageError{tikz}{You cannot mix dimensions and dimensionless values in an ellipse}{}%
+ \else%
+ \pgfpathellipse{\tikz@last@position}{%
+ \pgfpointxy{\tikz@ellipse@x}{0}}{\pgfpointxy{0}{\tikz@ellipse@y}}%
+ \fi%
+ \fi%
+}
+
+% Syntax 1 for arcs:
+% arc (start angle:end angle:radius)
+%
+% Syntax 2 for arcs:
+% arc (start angle:end angle:x-radius and y-radius)
+%
+% radius can be dimensionless, then the arc is in the xy-coordinate system
+\def\tikz@arcA rc{%
+ \tikz@flush@moveto%
+ \pgfutil@ifnextchar({\tikz@@arcto}{\expandafter\tikz@arcA\expandafter r\expandafter c}}
+
+\def\tikz@@arcto(#1){%
+ \edef\tikz@temp{(#1)}%
+ \expandafter\tikz@@@arcto@check@slashand\tikz@temp%
+}
+
+\def\tikz@@@arcto@check@slashand(#1:#2:#3){%
+ \pgfutil@in@{ and }{#3}%
+ \ifpgfutil@in@%
+ \tikz@parse@arc@and(#1:#2:#3)%
+ \else%
+ \tikz@parse@arc@and(#1:#2:{#3} and {#3})%
+ \fi%
+}
+
+\def\tikz@parse@arc@and(#1:#2:#3 and #4){%
+ \pgfmathparse{#3}%
+ \let\tikz@arc@x=\pgfmathresult%
+ \ifpgfmathunitsdeclared%
+ \pgfmathparse{#4}%
+ \let\tikz@arc@y=\pgfmathresult%
+ \ifpgfmathunitsdeclared%
+ \tikz@@@arcfinal{\pgfpatharc{#1}{#2}{\tikz@arc@x pt and \tikz@arc@y pt}}
+ {\pgfpointpolar{#1}{\tikz@arc@x pt and \tikz@arc@y pt}}
+ {\pgfpointpolar{#2}{\tikz@arc@x pt and \tikz@arc@y pt}}%
+ \else%
+ \PackageError{tikz}{You cannot mix dimensions and dimensionless values in an arc}{}%
+ \fi%
+ \else%
+ \pgfmathparse{#4}%
+ \let\tikz@arc@y=\pgfmathresult%
+ \ifpgfmathunitsdeclared%
+ \PackageError{tikz}{You cannot mix dimensions and dimensionless values in an arc}{}%
+ \else%
+ \tikz@@@arcfinal{\pgfpatharcaxes{#1}{#2}{\pgfpointxy{\tikz@arc@x}{0}}{\pgfpointxy{0}{\tikz@arc@y}}}
+ {\pgfpointpolarxy{#1}{\tikz@arc@x and \tikz@arc@y}}{\pgfpointpolarxy{#2}{\tikz@arc@x and \tikz@arc@y}}%
+ \fi%
+ \fi%
+}
+
+\def\tikz@@@arcfinal#1#2#3{%
+ #1%
+ \pgf@process{#2}%
+ \advance\tikz@lastx by-\pgf@x%
+ \advance\tikz@lasty by-\pgf@y%
+ \pgf@process{#3}%
+ \advance\tikz@lastx by\pgf@x%
+ \advance\tikz@lasty by\pgf@y%
+ \tikz@lastxsaved=\tikz@lastx%
+ \tikz@lastysaved=\tikz@lasty%
+ \tikz@scan@next@command%
+}
+
+
+% Syntax for coordinates:
+% coordinate[options] (coordinate name) at (point)
+% where ``at (point)'' is optional
+\def\tikz@coordinate ordinate{%
+ \pgfutil@ifnextchar[{\tikz@@coordinate@opt}{\tikz@@coordinate@opt[]}}
+\def\tikz@@coordinate@opt[#1]{%
+ \pgfutil@ifnextchar({\tikz@@coordinate[#1]}
+ {\tikz@fig ode[shape=coordinate,#1]{}}}%}
+\def\tikz@@coordinate[#1](#2){%
+ \pgfutil@ifnextchar a{\tikz@@coordinate@at[#1](#2)}
+ {\tikz@fig ode[shape=coordinate,#1](#2){}}}
+\def\tikz@@coordinate@at[#1](#2)at#3({%
+ \def\tikz@coordinate@caller{\tikz@fig ode[shape=coordinate,#1](#2)at}%
+ \tikz@scan@one@point\tikz@@coordinate@at@math(%
+}
+\def\tikz@@coordinate@at@math#1{%
+ \pgf@process{#1}%
+ \edef\tikz@temp{(\the\pgf@x,\the\pgf@y)}%
+ \expandafter\tikz@coordinate@caller\tikz@temp{}%
+}
+
+
+
+% Syntax for nodes:
+% node[options] (node name) {label text}
+%
+% all of [options], (node name) and {label text} are optional. There
+% can be multiple options before the label text as in
+% node[draw] (a) [rotate=10] {text}
+%
+% A label text always ``ends'' the node.
+\def\tikz@fig ode{%
+ \edef\tikz@save@line@width{\the\pgflinewidth}%
+ \begingroup%
+ \let\tikz@fig@name=\pgfutil@empty%
+ \begingroup%
+ \tikz@is@matrixfalse%
+ \let\nodepart=\tikz@nodepart%
+ \let\tikz@options=\pgfutil@empty%
+ \let\tikz@after@node=\pgfutil@empty%
+ \let\tikz@afternodepathoptions=\pgfutil@empty%
+ \let\tikz@transform=\pgfutil@empty%
+ \let\tikz@mode=\pgfutil@empty%
+ \tikz@decoratepathfalse%
+ \let\tikz@preactions=\pgfutil@empty%
+ \let\tikz@postactions=\pgfutil@empty%
+ \let\tikz@alias=\pgfutil@empty%
+ \def\tikz@node@at{\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}%
+ \iftikz@node@is@a@label%
+ \else%
+ \let\tikz@time=\pgfutil@empty%
+ \fi%
+ \tikz@node@reset@hook%
+ \tikzset{every node/.try}%
+ \tikz@@scan@fig}%
+\def\tikz@@scan@fig{%
+ \pgfutil@ifnextchar a{\tikz@fig@scan@at}
+ {\pgfutil@ifnextchar({\tikz@fig@scan@name}
+ {\pgfutil@ifnextchar[{\tikz@fig@scan@options}%
+ {\pgfutil@ifnextchar\bgroup{\tikz@fig@main}%
+ {\PackageError{tikz}{A node must have a (possibly empty) label text}{}%
+ \tikz@fig@main{}}}}}}%}}
+\def\tikz@fig@scan@at at{%
+ \tikz@scan@one@point\tikz@@fig@scan@at}
+\def\tikz@@fig@scan@at#1{%
+ \def\tikz@node@at{#1}\tikz@@scan@fig}%
+\def\tikz@fig@scan@name(#1){\edef\tikz@fig@name{#1}\tikz@@scan@fig}%
+\def\tikz@fig@scan@options[#1]{\tikzset{#1}\tikz@@scan@fig}%
+\let\tikz@node@reset@hook=\pgfutil@empty%
+\let\tikz@node@begin@hook=\pgfutil@empty%
+\def\tikz@fig@main{\afterassignment\tikz@@fig@main\let\next=}
+\def\tikz@@fig@main{%
+ \pgfutil@ifundefined{pgf@sh@s@\tikz@shape}%
+ {\PackageError{tikz}%
+ {Unknown shape ``\tikz@shape.'' Using ``rectangle'' instead}{}%
+ \def\tikz@shape{rectangle}}%
+ {}%
+ \tikzset{every \tikz@shape\space node/.try}%
+ \tikz@node@begin@hook%
+ \iftikz@is@matrix%
+ \let\tikz@next=\tikz@do@matrix%
+ \else%
+ \let\tikz@next=\tikz@do@fig%
+ \fi%
+ \tikz@next%
+}
+\def\tikz@do@fig{%
+ \setbox\pgfnodeparttextbox=\hbox%
+ \bgroup%
+ \tikzset{every text node part/.try}%
+ \ifx\tikz@textopacity\pgfutil@empty%
+ \else%
+ \pgfsetfillopacity{\tikz@textopacity}%
+ \pgfsetstrokeopacity{\tikz@textopacity}%
+ \fi%
+ \pgfinterruptpicture%
+ \tikz@textfont%
+ \ifx\tikz@text@width\pgfutil@empty%
+ \else%
+ \begingroup%
+ \pgfutil@minipage[t]{\tikz@text@width}%
+ \tikz@text@action%
+ \fi%
+ \tikz@atbegin@node%
+ \bgroup%
+ \aftergroup\unskip%
+ \ifx\tikz@textcolor\pgfutil@empty%
+ \else%
+ \pgfutil@colorlet{.}{\tikz@textcolor}%
+ \fi%
+ \pgfsetcolor{.}%
+ \setbox\tikz@figbox=\box\voidb@x%
+ \tikz@uninstallcommands%
+ \aftergroup\tikz@fig@collectresetcolor%
+ \ignorespaces%
+}
+\def\tikz@fig@collectresetcolor{%
+ \pgfutil@ifnextchar\reset@color%
+ {\reset@color\afterassignment\tikz@fig@collectresetcolor\let\tikz@temp=}%
+ {\tikz@fig@boxdone}%
+}
+\def\tikz@fig@boxdone{%
+ \tikz@atend@node%
+ \ifx\tikz@text@width\pgfutil@empty%
+ \else%
+ \pgfutil@endminipage%
+ \endgroup%
+ \fi%
+ \endpgfinterruptpicture%
+ \egroup%
+ \pgfutil@ifnextchar c{\tikz@fig@mustbenamed\tikz@fig@continue}%
+ {\pgfutil@ifnextchar[{\tikz@fig@mustbenamed\tikz@fig@continue}%
+ {\pgfutil@ifnextchar t{\tikz@fig@mustbenamed\tikz@fig@continue}
+ {\pgfutil@ifnextchar e{\tikz@fig@mustbenamed\tikz@fig@continue}
+ {\ifx\tikz@after@node\pgfutil@empty\expandafter\tikz@fig@continue\else\expandafter\tikz@fig@mustbenamed\expandafter\tikz@fig@continue\fi}}}}}%}
+
+\def\tikz@do@matrix{%
+ \tikzset{every matrix/.try}%
+ \tikz@node@transformations%
+ \tikz@fig@mustbenamed%
+ \setbox\tikz@figbox=\hbox\bgroup%
+ \setbox\pgfutil@tempboxa=\copy\tikz@figbox%
+ \unhbox\pgfutil@tempboxa%
+ \hbox\bgroup\bgroup%
+ \pgfinterruptpath%
+ \pgfscope%
+ \tikz@options%
+ \setbox\tikz@figbox=\box\voidb@x%
+ \let\tikzmatrixname=\tikz@fig@name%
+ \edef\tikz@m@anchor{\ifx\tikz@matrix@anchor\pgfutil@empty\tikz@anchor\else\tikz@matrix@anchor\fi}%
+ \expandafter\pgfutil@in@\expandafter{\expandafter.\expandafter}\expandafter{\tikz@m@anchor}%
+ \ifpgfutil@in@%
+ \expandafter\tikz@matrix@split\tikz@m@anchor\relax%
+ \else%
+ \def\tikz@matrix@shift{\pgfpointorigin}%
+ \fi%
+ \let\tikz@transform=\relax%
+ \pgfmatrix%
+ {\tikz@shape}%
+ {\tikz@m@anchor}%
+ {\tikz@fig@name}%
+ {%
+ \pgfutil@tempdima=\pgflinewidth%
+ {\begingroup\tikz@finish}%
+ \global\pgflinewidth=\pgfutil@tempdima%
+ }%
+ {\tikz@matrix@shift}%
+ {%
+ \tikz@matrix@make@active@ampersand%
+ \def\pgfmatrixbegincode{%
+ \pgfsys@beginscope%
+ \tikz@common@matrix@code%
+ \tikz@atbegin@cell%
+ }%
+ \def\tikz@common@matrix@code{%
+ \let\tikz@options=\pgfutil@empty%
+ \let\tikz@mode=\pgfutil@empty%
+ \tikzset{every cell/.try={\the\pgfmatrixcurrentrow}{\the\pgfmatrixcurrentcolumn}}%
+ \tikzset{column \the\pgfmatrixcurrentcolumn/.try}%
+ \ifodd\pgfmatrixcurrentcolumn%
+ \tikzset{every odd column/.try}%
+ \else%
+ \tikzset{every even column/.try}%
+ \fi%
+ \tikzset{row \the\pgfmatrixcurrentrow/.try}%
+ \ifodd\pgfmatrixcurrentrow%
+ \tikzset{every odd row/.try}%
+ \else%
+ \tikzset{every even row/.try}%
+ \fi%
+ \tikzset{row \the\pgfmatrixcurrentrow\space column \the\pgfmatrixcurrentcolumn/.try}%
+ \tikz@options%
+ }%
+ \def\pgfmatrixendcode{%
+ \tikz@atend@cell%
+ \pgfsys@endscope%
+ }%
+ \def\pgfmatrixemptycode{%
+ \pgfsys@beginscope%
+ \tikz@common@matrix@code%
+ \tikz@at@emptycell%
+ \pgfsys@endscope%
+ }%
+ \aftergroup\tikz@do@matrix@cont}%
+ \bgroup%
+}
+\def\tikz@do@matrix@cont{%
+ \endpgfscope
+ \endpgfinterruptpath%
+ \egroup\egroup%
+ \egroup%
+ %
+ \tikz@node@finish%
+}
+
+{%
+ \catcode`\&=13
+ \gdef\tikz@matrix@make@active@ampersand{%
+ \ifx\tikz@ampersand@replacement\pgfutil@empty%
+ \catcode`\&=13%
+ \let&=\pgfmatrixnextcell%
+ \else%
+ \expandafter\let\tikz@ampersand@replacement=\pgfmatrixnextcell%
+ \fi%
+ }%
+}%
+
+
+\def\tikz@matrix@split#1.#2\relax{%
+ \def\tikz@m@anchor{text}%
+ \def\tikz@matrix@shift{\pgfpointanchor{#1}{#2}}%
+}
+
+\def\tikz@fig@continue{%
+ \ifx\tikz@text@width\pgfutil@empty%
+ \else%
+ \pgfmathsetlength{\pgf@x}{\tikz@text@width}%
+ \wd\pgfnodeparttextbox=\pgf@x%
+ \fi%
+ \ifx\tikz@text@height\pgfutil@empty%
+ \else%
+ \pgfmathsetlength{\pgf@x}{\tikz@text@height}%
+ \ht\pgfnodeparttextbox=\pgf@x%
+ \fi%
+ \ifx\tikz@text@depth\pgfutil@empty%
+ \else%
+ \pgfmathsetlength{\pgf@x}{\tikz@text@depth}%
+ \dp\pgfnodeparttextbox=\pgf@x%
+ \fi%
+ %
+ % Node transformation
+ %
+ \tikz@node@transformations
+ %
+ \setbox\tikz@figbox=\hbox{%
+ \setbox\pgfutil@tempboxa=\copy\tikz@figbox%
+ \unhbox\pgfutil@tempboxa%
+ \hbox{{%
+ \pgfinterruptpath%
+ \pgfscope%
+ \tikz@options%
+ \setbox\tikz@figbox=\box\voidb@x%
+ \pgfmultipartnode{\tikz@shape}{\tikz@anchor}{\tikz@fig@name}{%
+ \pgfutil@tempdima=\pgflinewidth%
+ {\begingroup\tikz@finish}%
+ \global\pgflinewidth=\pgfutil@tempdima%
+ }%
+ \endpgfscope
+ \endpgfinterruptpath%
+ }}%
+ }%
+ %
+ \tikz@alias%
+ \tikz@node@finish%
+}
+
+
+\def\tikz@fig@mustbenamed{%
+ \ifx\tikz@fig@name\pgfutil@empty%
+ % Assign a dummy name
+ \global\advance\tikz@fig@count by1\relax
+ \edef\tikz@fig@name{tikz@f@\the\tikz@fig@count}%
+ \fi%
+}
+
+\def\tikz@node@transformations{
+ %
+ % Possibly, we are ``online''
+ %
+ \ifx\tikz@time\pgfutil@empty%
+ \pgftransformshift{\tikz@node@at}%
+ \iftikz@fullytransformed%
+ \else%
+ \pgftransformresetnontranslations%
+ \fi%
+ \else%
+ \tikz@do@auto@anchor%
+ \tikz@timer%
+ \fi%
+ % Invoke local transformations
+ \tikz@transform%
+}
+
+\def\tikz@node@finish{%
+ \global\let\tikz@last@fig@name=\tikz@fig@name%
+ \global\let\tikz@after@node@smuggle=\tikz@after@node%
+ \global\let\tikz@afternodepathoptions@smuggle=\tikz@afternodepathoptions%
+ % shift box outside group
+ \global\setbox\tikz@tempbox=\copy\tikz@figbox%
+ \endgroup\endgroup%
+ \setbox\tikz@figbox=\box\tikz@tempbox%
+ \pgflinewidth=\tikz@save@line@width%
+ \let\tikz@to@last@fig@name=\tikz@last@fig@name%
+ \let\tikz@to@use@whom=\tikz@to@use@last@fig@name%
+ \let\tikzlastnode=\tikz@last@fig@name%
+ \ifx\tikz@after@node@smuggle\pgfutil@empty%
+ \else%
+ \tikz@scan@next@command{\pgfextra{\tikz@afternodepathoptions@smuggle}\tikz@after@node@smuggle}\pgf@stop%
+ \fi%
+ \tikz@scan@next@command%
+}
+\let\tikz@fig@continue@orig=\tikz@fig@continue
+
+
+
+% Syntax for parts of nodes:
+% node ... {... \nodepart{name} ... \nodepart{name} ...}
+
+\def\tikz@nodepart#1{%
+ \tikz@atend@node%
+ \unskip%
+ \gdef\tikz@nodepart@name{#1}%
+ \global\let\tikz@fig@continue=\tikz@nodepart@continue%
+ \pgfutil@ifnextchar x{\egroup\relax}{\egroup\relax}% gobble spaces
+}
+\def\tikz@nodepart@continue{%
+ \global\let\tikz@fig@continue=\tikz@fig@continue@orig%
+ % Now start new box:
+ \expandafter\setbox\csname pgfnodepart\tikz@nodepart@name box\endcsname=\hbox%
+ \bgroup%
+ \tikzset{every \tikz@nodepart@name\space node part/.try}%
+ \pgfinterruptpicture%
+ \tikz@textfont%
+ \ifx\tikz@text@width\pgfutil@empty%
+ \else%
+ \begingroup%
+ \pgfutil@minipage[t]{\tikz@text@width}%
+ \tikz@text@action%
+ \fi%
+ \bgroup%
+ \aftergroup\unskip%
+ \ifx\tikz@textcolor\pgfutil@empty%
+ \else%
+ \pgfutil@colorlet{.}{\tikz@textcolor}%
+ \fi%
+ \pgfsetcolor{.}%
+ \setbox\tikz@figbox=\box\voidb@x%
+ \tikz@uninstallcommands%
+ \tikz@atbegin@node%
+ \aftergroup\tikz@fig@collectresetcolor%
+ \ignorespaces%
+}
+
+%
+% "late" options can be used to "redo" a node
+%
+\tikzset{late options/.code=\tikz@late@options{#1}}
+\def\tikz@late@options#1{%
+ % Do a "virtual" node:
+ \begingroup%
+ \iftikz@shapeborder%
+ \let\tikz@fig@name=\tikz@shapeborder@name%
+ \else%
+ \let\tikz@fig@name=\pgfutil@empty%
+ \fi%
+ \tikz@is@matrixfalse%
+ \let\tikz@options=\pgfutil@empty%
+ \let\tikz@after@node=\pgfutil@empty%
+ \let\tikz@afternodepathoptions=\pgfutil@empty%
+ \let\tikz@alias=\pgfutil@empty%
+ \let\tikz@transform=\pgfutil@empty%
+ \tikz@decoratepathfalse%
+ \tikz@node@reset@hook%
+ \tikzset{every node/.try,#1}%
+ \ifx\tikz@fig@name\pgfutil@empty%
+ \PackageError{tikz}{Late options must reference some existing
+ node}{}%
+ \fi%
+ \tikz@node@begin@hook%
+ \tikz@alias%
+ \global\let\tikz@last@fig@name=\tikz@fig@name%
+ \global\let\tikz@after@node@smuggle=\tikz@after@node%
+ \global\let\tikz@afternodepathoptions@smuggle=\tikz@afternodepathoptions%
+ \endgroup%
+ \let\tikz@to@last@fig@name=\tikz@last@fig@name%
+ \let\tikz@to@use@whom=\tikz@to@use@last@fig@name%
+ \let\tikzlastnode=\tikz@last@fig@name%
+ \ifx\tikz@after@node@smuggle\pgfutil@empty%
+ \else%
+ \tikz@scan@next@command{\pgfextra{\tikz@afternodepathoptions@smuggle}\tikz@after@node@smuggle}\pgf@stop%
+ \fi%
+}
+
+
+% Auto placement
+
+\def\tikz@auto@pre{%
+ \begingroup
+ \pgfresetnontranslationattimefalse
+ \pgfslopedattimetrue%
+ \pgfallowupsidedownattimetrue%
+ \tikz@timer%
+ \pgf@x=\pgf@pt@aa pt%
+ \pgf@y=\pgf@pt@ab pt%
+ \pgfpointnormalised{}%
+}
+
+\def\tikz@auto@post{%
+ \global\let\tikz@anchor@smuggle=\tikz@anchor%
+ \endgroup%
+ \let\tikz@anchor=\tikz@anchor@smuggle%
+}
+
+\def\tikz@auto@anchor{%
+ \ifdim\pgf@x>0.05pt%
+ \ifdim\pgf@y>0.05pt%
+ \def\tikz@anchor{south east}%
+ \else\ifdim\pgf@y<-0.05pt%
+ \def\tikz@anchor{south west}%
+ \else
+ \def\tikz@anchor{south}%
+ \fi\fi%
+ \else\ifdim\pgf@x<-0.05pt%
+ \ifdim\pgf@y>0.05pt%
+ \def\tikz@anchor{north east}%
+ \else\ifdim\pgf@y<-0.05pt%
+ \def\tikz@anchor{north west}%
+ \else
+ \def\tikz@anchor{north}%
+ \fi\fi%
+ \else%
+ \ifdim\pgf@y>0pt%
+ \def\tikz@anchor{east}%
+ \else%
+ \def\tikz@anchor{west}%
+ \fi%
+ \fi\fi%
+}
+
+\def\tikz@auto@anchor@prime{%
+ \ifdim\pgf@x>0.05pt%
+ \ifdim\pgf@y>0.05pt%
+ \def\tikz@anchor{north west}%
+ \else\ifdim\pgf@y<-0.05pt%
+ \def\tikz@anchor{north east}%
+ \else
+ \def\tikz@anchor{north}%
+ \fi\fi%
+ \else\ifdim\pgf@x<-0.05pt%
+ \ifdim\pgf@y>0.05pt%
+ \def\tikz@anchor{south west}%
+ \else\ifdim\pgf@y<-0.05pt%
+ \def\tikz@anchor{south east}%
+ \else
+ \def\tikz@anchor{south}%
+ \fi\fi%
+ \else%
+ \ifdim\pgf@y>0pt%
+ \def\tikz@anchor{west}%
+ \else%
+ \def\tikz@anchor{east}%
+ \fi%
+ \fi\fi%
+}
+
+
+
+
+% Syntax for trees:
+% node {...} child [options] {...} child [options] {...} ...
+% node {...} child [options] foreach \var in {list} [options] {...} ...
+
+\def\tikz@children{%
+ % Start collecting the children:
+ \let\tikz@children@list=\pgfutil@empty%
+ \tikznumberofchildren=0\relax%
+ \tikz@collect@children c}
+
+\def\tikz@collect@children{\pgfutil@ifnextchar c{\tikz@collect@children@cchar}{\tikz@children@collected}}
+\def\tikz@collect@children@cchar c{\pgfutil@ifnextchar h{\tikz@collect@child}{\tikz@children@collected c}}
+\def\tikz@collect@child hild{\pgfutil@ifnextchar[{\tikz@collect@childA}{\tikz@collect@childA[]}}%}
+\def\tikz@collect@childA[#1]{\pgfutil@ifnextchar f{\tikz@collect@children@foreach[#1]}{\tikz@collect@childB[#1]}}
+\def\tikz@collect@childB[#1]{%
+ \advance\tikznumberofchildren by1\relax
+ \expandafter\def\expandafter\tikz@children@list\expandafter{\tikz@children@list \tikz@childnode[#1]}%
+ \pgfutil@ifnextchar\bgroup{\tikz@collect@child@code}{\tikz@collect@child@code{}}}
+\def\tikz@collect@child@code#1{%
+ \expandafter\def\expandafter\tikz@children@list\expandafter{\tikz@children@list{#1}}%
+ \tikz@collect@children%
+}
+\def\tikz@collect@children@foreach[#1]foreach#2in#3{%
+ \pgfutil@ifnextchar\bgroup{\tikz@collect@children@foreachA{#1}{#2}{#3}}{\tikz@collect@children@foreachA{#1}{#2}{#3}{}}}
+\def\tikz@collect@children@foreachA#1#2#3#4{%
+ \expandafter\def\expandafter\tikz@children@list\expandafter
+ {\tikz@children@list\tikz@childrennodes[#1]{#2}{#3}{#4}}%
+ \c@pgf@counta=\tikznumberofchildren%
+ \foreach#2in{#3}%
+ {%
+ \global\advance\c@pgf@counta by1\relax%
+ }%
+ \tikznumberofchildren=\c@pgf@counta%
+ \tikz@collect@children%
+}
+\long\def\tikz@children@collected{%
+ \begingroup%
+ \advance\tikztreelevel by 1\relax%
+ \let\tikz@options=\pgfutil@empty%
+ \let\tikz@transform=\pgfutil@empty%
+ \tikzset{level/.try=\the\tikztreelevel,level \the\tikztreelevel/.try}%
+ \tikz@transform%
+ \let\tikzparentnode=\tikz@last@fig@name%
+ % Transform to center of node
+ \pgftransformshift{\pgfpointanchor{\tikzparentnode}{\tikz@growth@anchor}}%
+ \tikznumberofcurrentchild=0\relax%
+ \tikz@children@list%
+ \global\setbox\tikz@tempbox=\copy\tikz@figbox%
+ \endgroup%
+ \setbox\tikz@figbox=\box\tikz@tempbox%
+ \tikz@scan@next@command%
+}
+
+
+% Syntax for children:
+%
+% child [all children options] foreach \var in {values} [child options] {...}
+\def\tikz@childrennodes[#1]#2#3#4{%
+ \c@pgf@counta=\tikznumberofcurrentchild\relax%
+ \setbox\tikz@tempbox=\box\tikz@figbox%
+ \foreach#2in{#3}{%
+ \tikznumberofcurrentchild=\c@pgf@counta\relax%
+ \setbox\tikz@figbox=\box\tikz@tempbox%
+ \tikz@childnode[#1]{#4}%
+ % we must now make the current child number and the figbox survive
+ % the group
+ \global\c@pgf@counta=\tikznumberofcurrentchild\relax%
+ \global\setbox\tikz@tempbox=\box\tikz@figbox%
+ }%
+ \tikznumberofcurrentchild=\c@pgf@counta\relax%
+ \setbox\tikz@figbox=\box\tikz@tempbox%
+}
+
+
+% Syntax for child:
+%
+% child
+%
+% child[options]
+%
+% child[options] {node (name) {child node text} ...
+% edge from parent[options] node {label text} node {label text}}
+
+\def\tikz@childnode[#1]#2{%
+ \advance\tikznumberofcurrentchild by1\relax%
+ {\tikzset{every child/.try,#1}\expandafter}%
+ \iftikz@child@missing%
+ \else%
+ \setbox\tikz@figbox=\hbox\bgroup%
+ \unhbox\tikz@figbox%
+ \hbox\bgroup\bgroup%
+ \pgfinterruptpath%
+ \pgfscope%
+ \let\tikz@transform=\pgfutil@empty%
+ \tikzset{every child/.try,#1}%
+ \tikz@options%
+ \tikz@transform%
+ \tikz@grow%
+ % Typeset node:
+ \edef\tikz@parent@node@name{[name=\tikzparentnode-\the\tikznumberofcurrentchild,style=every child node]}%
+ \def\tikz@child@node@text{[shape=coordinate]{}}
+ \tikz@parse@child@node#2\pgf@stop%
+ \expandafter\expandafter\expandafter\node
+ \expandafter\tikz@parent@node@name
+ \tikz@child@node@text
+ \pgfextra{\global\let\tikz@childnode@name=\tikz@last@fig@name};%
+ \let\tikzchildnode=\tikz@childnode@name%
+ {%
+ \def\tikz@edge@to@parent@needed{edge from parent}
+ \ifx\tikz@child@node@rest\pgfutil@empty%
+ \path edge from parent;%
+ \else%
+ \path (0,0) \tikz@child@node@rest \tikz@edge@to@parent@needed;%
+ \fi%
+ }%
+ \endpgfscope%
+ \endpgfinterruptpath%
+ \egroup\egroup%
+ \egroup%
+ \fi%
+}
+
+\def\tikz@parse@child@node{%
+ \pgfutil@ifnextchar n{\tikz@parse@child@node@n}%
+ {\pgfutil@ifnextchar c{\tikz@parse@child@node@c}%
+ {\tikz@parse@child@node@rest}}}
+\def\tikz@parse@child@node@rest#1\pgf@stop{\def\tikz@child@node@rest{#1}}
+\def\tikz@parse@child@node@c c{\pgfutil@ifnextchar o{\tikz@parse@child@node@co}{\tikz@parse@child@node@rest c}}
+\def\tikz@parse@child@node@co o{\pgfutil@ifnextchar o{\tikz@parse@child@node@coordinate}{\tikz@parse@child@node@rest co}}
+\def\tikz@parse@child@node@coordinate ordinate{%
+ \pgfutil@ifnextchar ({\tikz@@parse@child@node@coordinate}{%
+ \def\tikz@child@node@text{[shape=coordinate]{}}%
+ \tikz@parse@child@node@rest}}%}
+\def\tikz@@parse@child@node@coordinate(#1){%
+ \pgfutil@ifnextchar a{\tikz@p@c@n@c@at(#1)}{%
+ \def\tikz@child@node@text{[shape=coordinate,name=#1]{}}%
+ \tikz@parse@child@node@rest}}
+\def\tikz@p@c@n@c@at(#1)at#2({%
+ \def\tikz@child@node@text@pre{[shape=coordinate,name=#1]at}%
+ \tikz@scan@one@point\tikz@p@c@n@c@at@math(%
+}
+\def\tikz@p@c@n@c@at@math#1{%
+ \pgf@process{#1}%
+ \edef\tikz@marshal{(\the\pgf@x,\the\pgf@y){}}%
+ \expandafter\expandafter\expandafter\def%
+ \expandafter\expandafter\expandafter\tikz@child@node@text%
+ \expandafter\expandafter\expandafter{\expandafter\tikz@child@node@text@pre\tikz@marshal}%
+ \tikz@parse@child@node@rest%
+}
+\def\tikz@parse@child@node@n node{%
+ \let\tikz@child@node@text=\pgfutil@empty%
+ \tikz@p@c@s}%
+\def\tikz@p@c@s{%
+ \pgfutil@ifnextchar a{\tikz@p@c@s@at}
+ {\pgfutil@ifnextchar ({\tikz@p@c@s@paran}
+ {\pgfutil@ifnextchar [{\tikz@p@c@s@bra}
+ {\pgfutil@ifnextchar \bgroup{\tikz@p@c@s@group}
+ {\PackageError{tikz}{Cannot parse this node}{}}}}}}%}}
+\def\tikz@p@c@s@at at#1({%
+ \tikz@scan@one@point\tikz@p@c@s@at@math(%
+}
+\def\tikz@p@c@s@at@math#1{%
+ \pgf@process{#1}%
+ \edef\tikz@marshal{ at(\the\pgf@x,\the\pgf@y)}%
+ \expandafter\expandafter\expandafter\def%
+ \expandafter\expandafter\expandafter\tikz@child@node@text%
+ \expandafter\expandafter\expandafter{\expandafter\tikz@child@node@text\tikz@marshal}
+ \tikz@p@c@s}
+\def\tikz@p@c@s@paran(#1){%
+ \expandafter\def\expandafter\tikz@child@node@text\expandafter{\tikz@child@node@text(#1)}
+ \tikz@p@c@s}
+\def\tikz@p@c@s@bra[#1]{%
+ \expandafter\def\expandafter\tikz@child@node@text\expandafter{\tikz@child@node@text[#1]}
+ \tikz@p@c@s}
+\def\tikz@p@c@s@group#1{%
+ \expandafter\def\expandafter\tikz@child@node@text\expandafter{\tikz@child@node@text{#1}}
+ \tikz@parse@child@node@rest}
+
+
+
+%
+% Syntax for decorated subpaths:
+%
+% decorate [option] { subpath }
+%
+\def\tikz@decoration ecorate{%
+ \pgfutil@ifnextchar[{\tikz@lib@decoration}{\tikz@lib@decoration[]}%]
+}
+
+\def\tikz@lib@decoration[#1]#2{\PackageError{tikz}{You need to load a decoration library}{}}
+
+% The decorate path command:
+\def\tikz@lib@dec@decorate@path{\PackageError{tikz}{You need to load a decoration library}{}}
+
+
+
+%
+% Syntax for let :
+%
+% let \p1 = (coordinate), \p2 = (coordinate),... in
+%
+\def\tikz@let@command et#1in{%
+ \PackageError{tikz}{You need to say \string\usetikzlibrary{calc} to use the let command}{}%
+}
+
+
+
+%
+% Timers
+%
+
+\def\tikz@timer@line{%
+ \pgftransformlineattime{\tikz@time}{\tikz@timer@start}{\tikz@timer@end}%
+}
+
+\def\tikz@timer@vhline{%
+ \ifdim\tikz@time pt<0.5pt% first half
+ \pgf@process{\tikz@timer@start}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{\tikz@timer@end}%
+ \pgf@xb=\tikz@time pt%
+ \pgf@xb=2\pgf@xb%
+ \edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}{\noexpand\tikz@timer@start}{%
+ \noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@y}}}%
+ \tikz@marshal%
+ \else% second half
+ \pgf@process{\tikz@timer@start}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{\tikz@timer@end}%
+ \pgf@xb=\tikz@time pt%
+ \pgf@xb=2\pgf@xb%
+ \advance\pgf@xb by-1pt%
+ \edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}%
+ {\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@y}}{\noexpand\tikz@timer@end}}%
+ \tikz@marshal%
+ \fi%
+}
+
+\def\tikz@timer@hvline{%
+ \ifdim\tikz@time pt<0.5pt% first half
+ \pgf@process{\tikz@timer@start}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{\tikz@timer@end}%
+ \pgf@xb=\tikz@time pt%
+ \pgf@xb=2\pgf@xb%
+ \edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}{\noexpand\tikz@timer@start}{%
+ \noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@ya}}}%
+ \tikz@marshal%
+ \else% second half
+ \pgf@process{\tikz@timer@start}%
+ \pgf@xa=\pgf@x%
+ \pgf@ya=\pgf@y%
+ \pgf@process{\tikz@timer@end}%
+ \pgf@xb=\tikz@time pt%
+ \pgf@xb=2\pgf@xb%
+ \advance\pgf@xb by-1pt%
+ \edef\tikz@marshal{\noexpand\pgftransformlineattime{\pgf@sys@tonumber{\pgf@xb}}%
+ {\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@ya}}{\noexpand\tikz@timer@end}}%
+ \tikz@marshal%
+ \fi%
+}
+
+\def\tikz@timer@curve{%
+ \pgftransformcurveattime{\tikz@time}{\tikz@timer@start}{\tikz@timer@cont@one}{\tikz@timer@cont@two}{\tikz@timer@end}%
+}
+
+
+
+%
+% Coordinate systems
+%
+
+\def\tikzdeclarecoordinatesystem#1#2{%
+ \expandafter\def\csname tikz@parse@cs@#1\endcsname(##1){%
+ \pgf@process{%
+ #2%
+ \global\let\tikz@smubble@b=\tikz@shapeborder@name%
+ }%
+ \let\tikz@shapeborder@name=\tikz@smubble@b%
+ \edef\tikz@return@coordinate{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}%
+}
+\def\tikzaliascoordinatesystem#1#2{%
+ \edef\pgf@marshal{\noexpand\let\expandafter\noexpand\csname
+ tikz@parse@cs@#1\endcsname=\expandafter\noexpand\csname
+ tikz@parse@cs@#2\endcsname}%
+ \pgf@marshal%
+}
+
+
+% Default coodinate systems:
+
+\tikzdeclarecoordinatesystem{canvas}
+{%
+ \tikzset{cs/.cd,x=0pt,y=0pt,#1}%
+ \pgfpoint{\tikz@cs@x}{\tikz@cs@y}%
+}
+
+\tikzdeclarecoordinatesystem{canvas polar}
+{%
+ \tikzset{cs/.cd,angle=0,radius=0cm,#1}%
+ \pgfpointpolar{\tikz@cs@angle}{\tikz@cs@xradius and \tikz@cs@yradius}%
+}
+
+\tikzdeclarecoordinatesystem{xyz}
+{%
+ \tikzset{cs/.cd,x=0,y=0,z=0,#1}%
+ \pgfpointxyz{\tikz@cs@x}{\tikz@cs@y}{\tikz@cs@z}%
+}
+
+\tikzdeclarecoordinatesystem{xyz polar}
+{%
+ \tikzset{cs/.cd,angle=0,radius=0,#1}%
+ \pgfpointpolarxy{\tikz@cs@angle}{\tikz@cs@xradius and \tikz@cs@yradius}%
+}
+\tikzaliascoordinatesystem{xy polar}{xyz polar}
+
+
+\tikzdeclarecoordinatesystem{node}
+{%
+ \tikzset{cs/.cd,name=,anchor=none,angle=none,#1}%
+ \ifx\tikz@cs@anchor\tikz@nonetext%
+ \ifx\tikz@cs@angle\tikz@nonetext%
+ \expandafter\ifx\csname pgf@sh@ns@\tikz@cs@node\endcsname\tikz@coordinate@text%
+ \else
+ \aftergroup\tikz@shapebordertrue%
+ \edef\tikz@shapeborder@name{\tikz@cs@node}%
+ \fi%
+ \pgfpointanchor{\tikz@cs@node}{center}%
+ \else%
+ \pgfpointanchor{\tikz@cs@node}{\tikz@cs@angle}%
+ \fi%
+ \else%
+ \pgfpointanchor{\tikz@cs@node}{\tikz@cs@anchor}%
+ \fi%
+}
+
+% Intersection coordinates
+\tikzset{cs/first line/.code=\def\tikz@cs@line@a{#1}\def\tikz@cs@type@a{line}}
+\tikzset{cs/second line/.code=\def\tikz@cs@line@b{#1}\def\tikz@cs@type@b{line}}
+
+\tikzset{cs/first node/.code=\tikz@cs@unpack{\tikz@cs@node@a}{\tikz@cs@type@a}{#1}}
+\tikzset{cs/second node/.code=\tikz@cs@unpack{\tikz@cs@node@b}{\tikz@cs@type@b}{#1}}
+
+\def\tikz@cs@unpack#1#2#3{%
+ \expandafter\ifx\csname pgf@sh@ns@#3\endcsname\relax%
+ \PackageError{tikz}{Undefined node ``#3''}{}%
+ \else%
+ \def#1{#3}%
+ \edef#2{\csname pgf@sh@ns@#3\endcsname}%
+ \fi%
+}
+
+\tikzset{cs/solution/.initial=1}
+
+\tikzset{cs/horizontal line through/.store in=\tikz@cs@hori@line}
+\tikzset{cs/vertical line through/.store in=\tikz@cs@vert@line}
+
+\tikzdeclarecoordinatesystem{intersection}
+{%
+ \tikzset{cs/.cd,#1}%
+ \expandafter\ifx\csname tikz@intersect@\tikz@cs@type@a @and@\tikz@cs@type@b\endcsname\relax%
+ \PackageError{tikz}{I do not know how to compute the intersection
+ of a \tikz@cs@type@a and a \tikz@cs@type@b. Try saying
+ \string\usetikzlibrary{calc}}{}%
+ \pgfpointorigin%
+ \else%
+ \csname tikz@intersect@\tikz@cs@type@a @and@\tikz@cs@type@b\endcsname%
+ \fi%
+}
+
+\def\tikz@intersect@line@and@line{%
+ \expandafter\tikz@scan@one@point\expandafter\tikz@parse@line\tikz@cs@line@a%
+ \pgf@xa=\pgf@xc%
+ \pgf@ya=\pgf@yc%
+ \pgf@xb=\pgf@x%
+ \pgf@yb=\pgf@y%
+ \expandafter\tikz@scan@one@point\expandafter\tikz@parse@line\tikz@cs@line@b%
+ \edef\pgf@marshal{%
+ {\noexpand\pgfpointintersectionoflines%
+ {\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@ya}}%
+ {\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}%
+ {\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
+ {\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}}%
+ \pgf@marshal%
+}
+
+\def\tikz@parse@line#1--{%
+ \pgf@process{#1}%
+ \pgf@xc=\pgf@x%
+ \pgf@yc=\pgf@y%
+ \tikz@scan@one@point\pgf@process%
+}
+
+
+\tikzdeclarecoordinatesystem{perpendicular}
+{%
+ \tikzset{cs/.cd,#1}%
+ \expandafter\tikz@scan@one@point\expandafter\tikz@parse@intersection@a\tikz@cs@hori@line%
+ \expandafter\tikz@scan@one@point\expandafter\tikz@parse@intersection@b\tikz@cs@vert@line%
+ \pgfqpoint{\the\pgf@xb}{\the\pgf@ya}
+}
+
+\tikzdeclarecoordinatesystem{barycentric}
+{%
+ {%
+ \pgf@xa=0pt% point
+ \pgf@ya=0pt%
+ \pgf@xb=0pt% sum
+ \tikz@bary@dolist#1,=,%
+ \pgfmathparse{1/\the\pgf@xb}%
+ \global\pgf@x=\pgfmathresult\pgf@xa%
+ \global\pgf@y=\pgfmathresult\pgf@ya%
+ }%
+}
+
+\def\tikz@bary@dolist#1=#2,{%
+ \def\tikz@temp{#1}%
+ \ifx\tikz@temp\pgfutil@empty%
+ \else
+ \pgf@process{\pgfpointanchor{#1}{center}}%
+ \pgfmathparse{#2}%
+ \advance\pgf@xa by\pgfmathresult\pgf@x%
+ \advance\pgf@ya by\pgfmathresult\pgf@y%
+ \advance\pgf@xb by\pgfmathresult pt%
+ \expandafter\tikz@bary@dolist%
+ \fi%
+}
+
+\tikzset{cs/x/.store in=\tikz@cs@x}
+\tikzset{cs/y/.store in=\tikz@cs@y}
+\tikzset{cs/z/.store in=\tikz@cs@z}
+\tikzset{cs/angle/.store in=\tikz@cs@angle}
+\tikzset{cs/x radius/.store in=\tikz@cs@xradius}
+\tikzset{cs/y radius/.store in=\tikz@cs@yradius}
+\tikzset{cs/radius/.style={/tikz/cs/x radius=#1,/tikz/cs/y radius=#1}}
+\tikzset{cs/name/.store in=\tikz@cs@node}
+\tikzset{cs/anchor/.store in=\tikz@cs@anchor}
+
+
+
+
+
+%
+% Coordinate management
+%
+
+
+% Last position visited
+\def\tikz@last@position{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}
+\def\tikz@last@position@saved{\pgfqpoint{\tikz@lastxsaved}{\tikz@lastysaved}}
+
+% Make given point the last position visited
+\def\tikz@make@last@position#1{%
+ \pgf@process{#1}%
+ \tikz@lastx=\pgf@x\relax%
+ \tikz@lasty=\pgf@y\relax%
+ \iftikz@updatecurrent%
+ \tikz@lastxsaved=\pgf@x\relax%
+ \tikz@lastysaved=\pgf@y\relax%
+ \fi%
+ \tikz@updatecurrenttrue%
+}
+
+\newif\iftikz@updatecurrent
+\tikz@updatecurrenttrue
+
+
+
+% Scanner: Scans a point or a relative point.
+% It then calls the first parameter with the argument set to an
+% appropriate pgf command representing that point.
+
+\def\tikz@scan@one@point#1{%
+ \let\tikz@to@use@whom=\tikz@to@use@last@coordinate%
+ \tikz@shapeborderfalse%
+ \pgfutil@ifnextchar+{\tikz@scan@relative#1}{\tikz@scan@absolute#1}}
+\def\tikz@scan@absolute#1{%
+ \pgfutil@ifnextchar({\tikz@scan@@absolute#1}%)
+ {%
+ \advance\tikz@expandcount by -1%
+ \ifnum\tikz@expandcount<0\relax%
+ \let\@next=\tikz@@scangiveup%
+ \else%
+ \let\@next=\tikz@@scanexpand%
+ \fi%
+ \@next{#1}%
+ }%
+}
+\def\tikz@@scanexpand#1{\expandafter\tikz@scan@one@point\expandafter#1}
+\def\tikz@@scangiveup#1{\PackageError{tikz}{Cannot parse this coordinate}{}#1{\pgfpointorigin}}
+\def\tikz@scan@@absolute#1({%
+ \pgfutil@ifnextchar[% uhoh... options!
+ {\def\tikz@scan@point@recall{#1}\tikz@scan@options}%
+ {\tikz@@@scan@@absolute#1(}%
+}
+
+\def\tikz@scan@options[#1]#2{%
+ \def\tikz@scan@point@options{#1}%
+ \tikz@@@scan@@absolute\tikz@scan@handle@options(#2%
+}
+
+\def\tikz@scan@handle@options#1{%
+ {%
+ % Ok, compute point with options set and zero transformation
+ % matrix:
+ \pgftransformreset%
+ \let\tikz@transform=\pgfutil@empty%
+ \expandafter\tikzset\expandafter{\tikz@scan@point@options}%
+ \tikz@transform%
+ \pgf@process{\pgfpointtransformed{#1}}%
+ \xdef\tikz@marshal{\expandafter\noexpand\tikz@scan@point@recall{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}%
+ }%
+ \tikz@marshal%
+}
+
+\def\tikz@@@scan@@absolute#1({%
+ \pgfutil@ifnextchar{$}%$
+ {\tikz@parse@calculator#1(}
+ {\tikz@scan@no@calculator#1(}%
+}
+\def\tikz@scan@no@calculator#1(#2){%
+ \edef\tikz@temp{(#2)}%
+ \expandafter\tikz@@scan@@no@calculator\expandafter#1\tikz@temp%
+}
+\def\tikz@@scan@@no@calculator#1(#2){%
+ \pgfutil@in@{cs:}{#2}%
+ \ifpgfutil@in@%
+ \let\@next\tikz@parse@coordinatesystem%
+ \else%
+ \pgfutil@in@{intersection }{#2}%
+ \ifpgfutil@in@%
+ \let\@next\tikz@parse@intersection%
+ \else%
+ \pgfutil@in@|{#2}%
+ \ifpgfutil@in@
+ \pgfutil@in@{-|}{#2}%
+ \ifpgfutil@in@
+ \let\@next\tikz@parse@hv%
+ \else%
+ \let\@next\tikz@parse@vh%
+ \fi%
+ \else%
+ \pgfutil@in@:{#2}%
+ \ifpgfutil@in@
+ \let\@next\tikz@parse@polar%
+ \else%
+ \pgfutil@in@,{#2}%
+ \ifpgfutil@in@%
+ \let\@next\tikz@parse@regular%
+ \else%
+ \let\@next\tikz@parse@node%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \fi%
+ \@next#1(#2)%
+}
+
+\def\tikz@parse@calculator#1($#2$){%
+ \PackageError{tikz}{You need to say \string\usetikzlibrary{calc} for
+ coordinate calculation}{}%
+ #1{\pgfpointorigin}%
+}
+
+\def\tikz@parse@coordinatesystem#1(#2 cs:#3){%
+ \let\tikz@return@coordinate=\pgfpointorigin%
+ \pgfutil@ifundefined{tikz@parse@cs@#2}
+ {\PackageError{tikz}{Unknown coordinate system '#2'}{}}
+ {\csname tikz@parse@cs@#2\endcsname(#3)}%
+ \expandafter#1\expandafter{\tikz@return@coordinate}%
+}
+
+
+\newif\iftikz@isdimension
+\def\tikz@checkunit#1{%
+ \pgfmathparse{#1}%
+ \let\iftikz@isdimension=\ifpgfmathunitsdeclared%
+}
+
+\def\tikz@parse@polar#1(#2:#3){%
+ \pgfutil@ifundefined{tikz@polar@dir@#2}
+ {\tikz@@parse@polar#1(#2:#3)}
+ {\tikz@@parse@polar#1(\csname tikz@polar@dir@#2\endcsname:#3)}%
+}
+\def\tikz@@parse@polar#1(#2:#3){%
+ \pgfutil@in@{ and }{#3}%
+ \ifpgfutil@in@%
+ \edef\tikz@args{(#2:#3)}%
+ \else%
+ \edef\tikz@args{(#2:#3 and #3)}%
+ \fi%
+ \expandafter\tikz@@@parse@polar\expandafter#1\tikz@args%
+}
+\def\tikz@@@parse@polar#1(#2:#3 and #4){%
+ \tikz@checkunit{#3}%
+ \iftikz@isdimension%
+ \tikz@checkunit{#4}%
+ \iftikz@isdimension%
+ \def\tikz@next{#1{\pgfpointpolar{#2}{#3 and #4}}}%
+ \else%
+ \PackageError{tikz}{You cannot mix dimension and dimensionless values for polar coordinates}{}
+ \def\tikz@next{#1{\pgfpointorigin}}%
+ \fi%
+ \else%
+ \tikz@checkunit{#4}%
+ \iftikz@isdimension%
+ \PackageError{tikz}{You cannot mix dimension and dimensionless values for polar coordinates}{}
+ \def\tikz@next{#1{\pgfpointorigin}}%
+ \else%
+ \def\tikz@next{#1{\pgfpointpolarxy{#2}{#3 and #4}}}%
+ \fi%
+ \fi%
+ \tikz@next%
+}
+\def\tikz@polar@dir@up{90}
+\def\tikz@polar@dir@down{-90}
+\def\tikz@polar@dir@left{180}
+\def\tikz@polar@dir@right{0}
+\def\tikz@polar@dir@north{90}
+\def\tikz@polar@dir@south{-90}
+\def\tikz@polar@dir@east{0}
+\def\tikz@polar@dir@west{180}
+\expandafter\def\csname tikz@polar@dir@north east\endcsname{45}
+\expandafter\def\csname tikz@polar@dir@north west\endcsname{135}
+\expandafter\def\csname tikz@polar@dir@south east\endcsname{-45}
+\expandafter\def\csname tikz@polar@dir@south west\endcsname{-135}
+
+
+% MW:
+% Check to see if the y-coordinate is inside {}. If it is, scan it and
+% reinsert it into the stream inside an extra group.
+%
+\def\tikz@parse@regular#1(#2,{%
+ \pgfutil@ifnextchar\bgroup{\tikz@@parse@regular#1{#2}}{\tikz@@@parse@regular#1{#2}}%
+}
+\def\tikz@@parse@regular#1#2#3{\tikz@@@parse@regular#1{#2}{{#3}}}%
+
+
+% Originally \def\tikz@parse@regular#1(#2,#3){%
+%
+\def\tikz@@@parse@regular#1#2#3){%
+ \pgfutil@in@,{#3}%
+ \ifpgfutil@in@%
+ \tikz@parse@splitxyz{#1}{#2}#3,%
+ \else%
+ \tikz@checkunit{#2}%
+ \iftikz@isdimension%
+ \tikz@checkunit{#3}%
+ \iftikz@isdimension%
+ \def\@next{#1{\pgfpoint{#2}{#3}}}%
+ \else%
+ \def\@next{#1{\pgfpointadd{\pgfpoint{#2}{0pt}}{\pgfpointxy{0}{#3}}}}%
+ \fi%
+ \else%
+ \tikz@checkunit{#3}%
+ \iftikz@isdimension%
+ \def\@next{#1{\pgfpointadd{\pgfpoint{0pt}{#3}}{\pgfpointxy{#2}{0}}}}%
+ \else%
+ \def\@next{#1{\pgfpointxy{#2}{#3}}}%
+ \fi%
+ \fi%
+ \fi%
+ \@next%
+}
+
+\def\tikz@parse@splitxyz#1#2#3,#4,{%
+ \def\@next{#1{\pgfpointxyz{#2}{#3}{#4}}}%
+}
+
+\def\tikz@coordinate@text{coordinate}
+
+\def\tikz@parse@node#1(#2){%
+ \pgfutil@in@.{#2}% Ok, flag this
+ \ifpgfutil@in@
+ \tikz@calc@anchor#2\tikz@stop%
+ \else%
+ \tikz@calc@anchor#2.center\tikz@stop% to be on the save side, in
+ % case iftikz@shapeborder is ignored...
+ \expandafter\ifx\csname pgf@sh@ns@#2\endcsname\tikz@coordinate@text%
+ \else
+ \tikz@shapebordertrue%
+ \def\tikz@shapeborder@name{#2}%
+ \fi%
+ \fi%
+ \edef\tikz@marshal{\noexpand#1{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}%
+ \tikz@marshal%
+}
+
+\def\tikz@calc@anchor#1.#2\tikz@stop{%
+ \pgfpointanchor{#1}{#2}%
+}
+
+
+\def\tikz@parse@hv#1(#2){%
+ \pgfutil@in@{ -| }{#2}%
+ \ifpgfutil@in@%
+ \let\tikz@next=\tikz@parse@hvboth%
+ \else%
+ \pgfutil@in@{ -|}{#2}%
+ \ifpgfutil@in@%
+ \let\tikz@next=\tikz@parse@hvleft%
+ \else%
+ \pgfutil@in@{-| }{#2}%
+ \ifpgfutil@in@%
+ \let\tikz@next=\tikz@parse@hvright%
+ \else%
+ \let\tikz@next=\tikz@parse@hvdone%
+ \fi%
+ \fi%
+ \fi%
+ \tikz@next#1(#2)}
+\def\tikz@parse@hvboth#1(#2 -| #3){\tikz@parse@vhdone#1(#3|-#2)}
+\def\tikz@parse@hvleft#1(#2 -|#3){\tikz@parse@vhdone#1(#3|-#2)}
+\def\tikz@parse@hvright#1(#2-| #3){\tikz@parse@vhdone#1(#3|-#2)}
+\def\tikz@parse@hvdone#1(#2-|#3){\tikz@parse@vhdone#1(#3|-#2)}
+
+\def\tikz@parse@vh#1(#2){%
+ \pgfutil@in@{ |- }{#2}%
+ \ifpgfutil@in@%
+ \let\tikz@next=\tikz@parse@vhboth%
+ \else%
+ \pgfutil@in@{ |-}{#2}%
+ \ifpgfutil@in@%
+ \let\tikz@next=\tikz@parse@vhleft%
+ \else%
+ \pgfutil@in@{|- }{#2}%
+ \ifpgfutil@in@%
+ \let\tikz@next=\tikz@parse@vhright%
+ \else%
+ \let\tikz@next=\tikz@parse@vhdone%
+ \fi%
+ \fi%
+ \fi%
+ \tikz@next#1(#2)}
+\def\tikz@parse@vhboth#1(#2 |- #3){\tikz@parse@vhdone#1(#2|-#3)}
+\def\tikz@parse@vhleft#1(#2 |-#3){\tikz@parse@vhdone#1(#2|-#3)}
+\def\tikz@parse@vhright#1(#2|- #3){\tikz@parse@vhdone#1(#2|-#3)}
+\def\tikz@parse@vhdone#1(#2|-#3){%
+ {%
+ \tikz@@@scan@@absolute\tikz@parse@vh@mid(#2)%
+ \tikz@@@scan@@absolute\tikz@parse@vh@end(#3)%
+ \xdef\tikz@marshal{\noexpand#1{\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@ya}}}%
+ }%
+ \tikz@marshal%
+}
+\def\tikz@parse@vh@mid#1{\pgf@process{#1}\pgf@xa=\pgf@x}
+\def\tikz@parse@vh@end#1{\pgf@process{#1}\pgf@ya=\pgf@y}
+
+\def\tikz@parse@intersection#1(intersection{%
+ \pgfutil@ifnextchar o{%
+ \tikz@parse@main@intersection#1 1%
+ }{%
+ \tikz@parse@main@intersection#1%
+ }%
+}
+\def\tikz@parse@main@intersection#1#2of #3 and #4){%
+ \tikzset{cs/solution=#2}%
+ \pgfutil@in@{--}{#3}%
+ \ifpgfutil@in@%
+ \tikz@reparse@line{first}#3\pgf@stop%
+ \else%
+ \tikzset{cs/first node=#3}%
+ \fi%
+ \pgfutil@in@{--}{#4}%
+ \ifpgfutil@in@%
+ \tikz@reparse@line{second}#4\pgf@stop%
+ \else%
+ \tikzset{cs/second node=#4}%
+ \fi%
+ \tikz@parse@cs@intersection()% advanced hackery...
+ \edef\pgf@marshal{\noexpand#1{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}%
+ \pgf@marshal%
+}
+\def\tikz@reparse@line#1#2--#3\pgf@stop{%
+ \tikzset{cs/#1 line={(#2)--(#3)}}%
+}
+
+
+\def\tikz@parse@intersection@a#1{\pgf@process{#1}\pgf@xa=\pgf@x\pgf@ya=\pgf@y}
+\def\tikz@parse@intersection@b#1{\pgf@process{#1}\pgf@xb=\pgf@x\pgf@yb=\pgf@y}
+
+\def\tikz@scan@relative#1+{%
+ \pgfutil@ifnextchar+{\tikz@scan@plusplus#1}{\tikz@scan@oneplus#1}}
+
+\def\tikz@scan@plusplus#1+{%
+ \def\tikz@doafter{#1}%
+ \tikz@scan@absolute\tikz@add%
+}
+\def\tikz@add#1{%
+ \tikz@doafter{\pgfpointadd{#1}{\tikz@last@position@saved}}%
+}
+\def\tikz@scan@oneplus#1{%
+ \def\tikz@doafter{#1}%
+ \tikz@updatecurrentfalse%
+ \tikz@scan@absolute\tikz@add%
+}
+
+
+
+% Loading further libraries
+
+% Include a library file.
+%
+% #1 = List of names of library file.
+%
+% Description:
+%
+% This command includes a list of TikZ library files. For each file X in the
+% list, the file tikzlibraryX.code.tex is included, provided this has
+% not been done earlier.
+%
+% For the convenience of Context users, both round and square brackets
+% are possible for the argument.
+%
+% Example:
+%
+% \usetikzlibrary{arrows}
+% \usetikzlibrary[patterns,topaths]
+
+\def\usetikzlibrary{\pgfutil@ifnextchar[{\use@tikzlibrary}{\use@@tikzlibrary}}%}
+\def\use@tikzlibrary[#1]{\use@@tikzlibrary{#1}}
+\def\use@@tikzlibrary#1{%
+ \edef\pgf@list{#1}%
+ \pgfutil@for\pgf@temp:=\pgf@list\do{%
+ \expandafter\ifx\csname tikz@library@\pgf@temp @loaded\endcsname\relax%
+ \expandafter\global\expandafter\let\csname tikz@library@\pgf@temp @loaded\endcsname=\pgfutil@empty%
+ \expandafter\edef\csname tikz@library@#1@atcode\endcsname{\the\catcode`\@}
+ \expandafter\edef\csname tikz@library@#1@barcode\endcsname{\the\catcode`\|}
+ \catcode`\@=11
+ \catcode`\|=12
+ \input tikzlibrary\pgf@temp.code.tex
+ \catcode`\@=\csname tikz@library@#1@atcode\endcsname
+ \catcode`\|=\csname tikz@library@#1@barcode\endcsname
+ \fi%
+ }%
+}
+
+
+% Always-present libraries:
+
+\usetikzlibrary{topaths}
+
+
+
+
+\endinput