% Copyright 2019 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{tikz.code.tex} \def\tikzerror#1{\pgfutil@packageerror{tikz}{#1}{}} % Always-present libraries (|\usepgflibrary| defined in % \file{pgfutil-common.tex}). \usepgflibrary{plothandlers} \newdimen\tikz@lastx \newdimen\tikz@lasty \newdimen\tikz@lastxsaved \newdimen\tikz@lastysaved \newdimen\tikz@lastmovetox \newdimen\tikz@lastmovetoy \newdimen\tikzleveldistance \newdimen\tikzsiblingdistance \newbox\tikz@figbox \newbox\tikz@figbox@bg \newbox\tikz@tempbox \newbox\tikz@tempbox@bg \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 % |\tikz@addoption| adds \texttt{#1} at the end of the replacement % text of |\tikz@options| without expansion. \def\tikz@addoption#1{% \expandafter\def\expandafter\tikz@options\expandafter{\tikz@options#1}}% % Same as |tikz@addoption| for |\tikz@mode|. Note that |\tikz@mode| is % initially let to |\pgfutil@empty| later (see path usage options). \def\tikz@addmode#1{% \expandafter\def\expandafter\tikz@mode\expandafter{\tikz@mode#1}}% % Same as |tikz@addoption| for |\tikz@transform|. Works even if % |\tikz@transform| is not defined. In that case, nothing is added to % |\tikz@transform|: \texttt{#1} is expanded. \def\tikz@addtransform#1{% \ifx\tikz@transform\relax #1% \else \expandafter\def\expandafter\tikz@transform\expandafter{\tikz@transform#1}% \fi }% % TikZ options management. % Setting up the tikz key family (key management needs % \file{pgfkeys.code.tex}); \pgfkeys{/tikz/.is family}% % |\tikzset| is a shortcut to set keys that belongs to the tikz % family. \def\tikzset{\pgfqkeys{/tikz}}% % Note: |\tikzoption| is supported for compatibility only. |\tikzset| % should be used instead. \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}}% \tikzoption{trim left}[0pt]{\pgfutil@ifnextchar({\tikz@trim@coordinate{left}}{\tikz@trim@simple{left}}#1\@nil}%)% \tikzoption{trim right}{\pgfutil@ifnextchar({\tikz@trim@coordinate{right}}{\tikz@trim@simple{right}}#1\@nil}%)% \def\tikz@trim@simple#1#2\@nil{\csname pgfsettrim#1\endcsname{#2}}% \def\tikz@trim@coordinate#1#2\@nil{\csname pgfsettrim#1pointlater\endcsname{\tikz@scan@one@point\pgfutil@firstofone#2}}% % 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}% }% \tikzoption{dash}{\tikz@parse@full@dash#1\pgf@stop}% \def\tikz@parse@full@dash#1phase#2\pgf@stop{% \def\tikz@dashphase{#2}% \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% }% \def\tikz@dashphase{0pt}% \def\tikz@dashpattern{}% \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}}% % use a decoration to expand the `off' section of a dash pattern. % https://tex.stackexchange.com/a/133357 \tikzset{ dash expand off/.code={% \ifcsname tikz@library@decorations@loaded\endcsname\else \tikzerror{You need \string\usetikzlibrary{decorations} for ``dash offexpand''}% \fi \tikz@addoption{% \pgfgetpath\currentpath \pgfprocessround{\currentpath}{\currentpath}% \pgf@decorate@parsesoftpath{\currentpath}{\currentpath}% % Parse \on and \off from the current path \edef\on{\expandafter\pgfutil@firstoftwo\tikz@dashpattern}% \edef\off{\expandafter\pgfutil@secondoftwo\tikz@dashpattern}% % \dashphase = max(\on - \dashphase, 0) \pgfmathsubtract@{\on}{\tikz@dashphase}% \pgfmathmax@{\pgfmathresult}{0}% \edef\dashphase{\the\dimexpr\pgfmathresult pt\relax}% % \rest = \pgf@decorate@totalpathlength - \on \edef\rest{\expandafter\pgf@sys@tonumber\dimexpr\pgf@decorate@totalpathlength - \on + 2\dimexpr\dashphase\relax\relax}% % \onoff = \on + \off \edef\onoff{\expandafter\pgf@sys@tonumber\dimexpr\on+\off\relax}% % \nfullonoff = max(floor(\rest/\onoff), 1) \pgfmathdivide@{\rest}{\onoff}% \pgfmathfloor@{\pgfmathresult}% \pgfmathmax@{\pgfmathresult}{1}% % \offexpand = max(\rest/\nfullonoff - \on, \off) \pgfmathdivide@{\rest}{\pgfmathresult}% \pgfmathsubtract@{\pgfmathresult}{\on}% \pgfmathmax@{\pgfmathresult}{\off}% \edef\tikz@marshal{\noexpand\pgfsetdash{{\on}{\pgfmathresult}}{\dashphase}}% \tikz@marshal }% } } \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% \pgfsetinnerstrokecolor{#1}% \fi% \tikz@addmode{\tikz@mode@doubletrue}% \tikzset{every double/.try}% \fi}% \tikzoption{double distance}{% \pgfmathsetlength{\pgf@x}{#1}% \edef\tikz@double@setup{% \pgf@x=\the\pgf@x% \advance\pgf@x by2\pgflinewidth% \pgflinewidth=\pgf@x% \noexpand\pgfsetlinewidth{\pgflinewidth}% \noexpand\pgfsetinnerlinewidth{\the\pgf@x}% }% \tikzset{double}}% \def\tikz@double@setup{% \pgf@x=2\pgflinewidth% \advance\pgf@x by0.6pt% \pgflinewidth=\pgf@x% \pgfsetlinewidth{\pgflinewidth}% \pgfsetinnerlinewidth{0.6pt}% }% \tikzset{double distance between line centers/.code={ \pgfmathsetlength{\pgf@x}{#1}% \edef\tikz@double@setup{% \pgf@x=\pgflinewidth% \pgf@xa=\the\pgf@x% \advance\pgf@x by\pgf@xa% \advance\pgf@xa by-\pgflinewidth% \pgflinewidth=\pgf@x% \noexpand\pgfsetlinewidth{\pgflinewidth}% \noexpand\pgfsetinnerlinewidth{\pgf@xa}% }% \tikzset{double}}}% \tikzset{double equal sign distance/.style={double distance between line centers=0.45ex}}% % 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}}}% % Blend mode \tikzset{blend mode/.code={\tikz@addoption{\pgfsetblendmode{#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}}% % Radii and arc options \tikzset{x radius/.initial=0pt}% \tikzset{y radius/.initial=0pt}% \tikzset{% radius/.code={% \pgfmathparse{#1}% \ifpgfmathunitsdeclared \pgfkeyssetevalue{/tikz/x radius}{\pgfmathresult pt}% \pgfkeyssetevalue{/tikz/y radius}{\pgfmathresult pt}% \else \pgfkeyssetevalue{/tikz/x radius}{\pgfmathresult}% \pgfkeyssetevalue{/tikz/y radius}{\pgfmathresult}% \fi }% }% \tikzset{start angle/.initial=}% \tikzset{end angle/.initial=}% \tikzset{delta angle/.initial=}% % 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% }% }% }% \tikzset{turn/.code={% \pgf@x=0pt% \pgf@y\pgf@x% \pgf@process{\tikz@tangent}% \advance\pgf@x by-\tikz@lastx% \advance\pgf@y by-\tikz@lasty% \pgfpointnormalised{}% x/y = normalised vector \pgf@x=-\pgf@x% \pgf@ya=-\pgf@y% \pgftransformcm% {\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@ya}}% {\pgf@sys@tonumber{\pgf@y}}{\pgf@sys@tonumber{\pgf@x}}{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}% }% }% \def\tikz@tangent@lookup{% \pgfgetpath\tikz@temp% \pgfprocesspathextractpoints\tikz@temp% \pgfpointsecondlastonpath% }% % Code for rotating the xyz coordinate system % around the x, y, or z vector. % \def\tikz@xyz@rotate@let{% \let\pgf@z=\pgf@yc% \let\pgf@za=\pgf@xc% }% \def\tikz@xyz@rotate@xyz@xaxis#1#2#3#4{% \tikz@xyz@rotate@let% \pgf@x=#1\relax% \pgf@ya=#2\relax% \pgf@za=#3\relax% \pgfmathsin@{#4}\let\tikz@xyz@sin=\pgfmathresult% \pgfmathcos@{#4}\let\tikz@xyz@cos=\pgfmathresult% \pgf@y=\tikz@xyz@cos\pgf@ya% \advance\pgf@y by-\tikz@xyz@sin\pgf@za% \pgf@z=\tikz@xyz@sin\pgf@ya% \advance\pgf@z by\tikz@xyz@cos\pgf@za% }% \def\tikz@xyz@rotate@xyz@yaxis#1#2#3#4{% \tikz@xyz@rotate@let% \pgf@xa=#1\relax% \pgf@y=#2\relax% \pgf@za=#3\relax% \pgfmathsin@{#4}\let\tikz@xyz@sin=\pgfmathresult% \pgfmathcos@{#4}\let\tikz@xyz@cos=\pgfmathresult% \pgf@x=\tikz@xyz@cos\pgf@xa% \advance\pgf@x by\tikz@xyz@sin\pgf@za% \pgf@z=-\tikz@xyz@sin\pgf@xa% \advance\pgf@z by\tikz@xyz@cos\pgf@za% }% \def\tikz@xyz@rotate@xyz@zaxis#1#2#3#4{% \tikz@xyz@rotate@let% \pgf@xa=#1\relax% \pgf@ya=#2\relax% \pgf@z=#3\relax% \pgfmathsin@{#4}\let\tikz@xyz@sin=\pgfmathresult% \pgfmathcos@{#4}\let\tikz@xyz@cos=\pgfmathresult% \pgf@x=\tikz@xyz@cos\pgf@xa% \advance\pgf@x by-\tikz@xyz@sin\pgf@ya% \pgf@y=\tikz@xyz@sin\pgf@xa% \advance\pgf@y by\tikz@xyz@cos\pgf@ya% }% \tikzset{rotate around x/.code={% \tikz@xyz@rotate@let% \pgfmathparse{#1}\let\tikz@xyz@angle=\pgfmathresult% \tikz@xyz@rotate@xyz@xaxis{0pt}{1pt}{0pt}{\tikz@xyz@angle}% \pgfextract@process\tikz@xyz@rotate@yvec{\pgfpointxyz{\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@y}}{\pgf@sys@tonumber{\pgf@z}}}% \tikz@xyz@rotate@xyz@xaxis{0pt}{0pt}{1pt}{\tikz@xyz@angle}% \pgfsetzvec{\pgfpointxyz{\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@y}}{\pgf@sys@tonumber{\pgf@z}}}% \pgfsetyvec{\tikz@xyz@rotate@yvec}% }, rotate around y/.code={% \tikz@xyz@rotate@let% \pgfmathparse{#1}\let\tikz@xyz@angle=\pgfmathresult% \tikz@xyz@rotate@xyz@yaxis{1pt}{0pt}{0pt}{\tikz@xyz@angle}% \pgfextract@process\tikz@xyz@rotate@xvec{\pgfpointxyz{\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@y}}{\pgf@sys@tonumber{\pgf@z}}}% \tikz@xyz@rotate@xyz@yaxis{0pt}{0pt}{1pt}{\tikz@xyz@angle}% \pgfsetzvec{\pgfpointxyz{\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@y}}{\pgf@sys@tonumber{\pgf@z}}}% \pgfsetxvec{\tikz@xyz@rotate@xvec}% }, rotate around z/.code={% \tikz@xyz@rotate@let% \pgfmathparse{#1}\let\tikz@xyz@angle=\pgfmathresult% \tikz@xyz@rotate@xyz@zaxis{1pt}{0pt}{0pt}{\tikz@xyz@angle}% \pgfextract@process\tikz@xyz@rotate@xvec{\pgfpointxyz{\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@y}}{\pgf@sys@tonumber{\pgf@z}}}% \tikz@xyz@rotate@xyz@zaxis{0pt}{1pt}{0pt}{\tikz@xyz@angle}% \pgfsetyvec{\pgfpointxyz{\pgf@sys@tonumber{\pgf@x}}{\pgf@sys@tonumber{\pgf@y}}{\pgf@sys@tonumber{\pgf@z}}}% \pgfsetxvec{\tikz@xyz@rotate@xvec}% }, }% % 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}% \tikzset{ shade/.is choice, shade/.default=true, shade/true/.code=\tikz@addmode{\tikz@mode@shadetrue}, shade/false/.code=\tikz@addmode{\tikz@mode@shadefalse}, shade/none/.code=\tikz@addmode{\tikz@mode@shadefalse}, }% \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}}% \tikzoption{use path}{\tikz@addmode{\pgfsyssoftpath@setcurrentpath#1}}% \let\tikz@fillcolor=\pgfutil@empty \let\tikz@strokecolor=\pgfutil@empty % Insert a path using an option \tikzset{insert path/.code=\tikz@scan@next@command#1\pgf@stop}% % Pattern options \tikzset{pattern/.code=\tikzerror{You need to say \string\usetikzlibrary{patterns}}, pattern color/.style=pattern}% % Path pictures \tikzset{path picture/.code=\tikz@addmode{\def\tikz@path@picture{#1}}}% % Fading 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/.code=\tikz@transparency@grouptrue\def\tikz@transparency@group@options{isolated=true,#1}\let\tikz@blend@group\pgfutil@empty}% \tikzset{/tikz/blend group/.code=\tikz@transparency@grouptrue\def\tikz@transparency@group@options{isolated=true}\def\tikz@blend@group{\pgfsetblendmode{#1}}}% \let\tikz@blend@group\pgfutil@empty % 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 \tikzset{ pin distance/.store in=\tikz@pin@distance, pin distance=3ex, pin position/.store in=\tikz@pin@default@pos, pin position=above, pin edge/.store in=\tikz@pin@edge@style, pin edge={}, tikz@pin@post/.code={\global\let\tikz@pin@edge@style@smuggle=\tikz@pin@edge@style}, tikz@pre@pin@edge/.code={% \toks0=\expandafter{\tikz@pin@edge@style@smuggle}% \edef\pgf@marshal{\noexpand\tikzset{tikz@pin@options/.style={\the\toks0}}}% \pgf@marshal },% }% \tikzset{% pin/.code={% \begingroup \ifnum\the\catcode`\:=\active\relax \def\tikz@next{% \endgroup \tikz@parse@pin@active@i{#1}}% \else \def\tikz@next{% \endgroup \pgfutil@ifnextchar[%] {\tikz@parse@pin@nonactive} {\tikz@parse@pin@nonactive[]}#1:\pgf@nil}% \fi \tikz@next}}% \begingroup \catcode`\:=\active\relax \gdef\tikz@parse@pin@active@i#1{% \pgfutil@ifnextchar[%] {\tikz@parse@pin@active} {\tikz@parse@pin@active[]}#1:\pgf@nil}% \long\gdef\tikz@parse@pin@active[#1]#2:#3\pgf@nil{% \def\tikz@temp{#3}% \ifx\tikz@temp\pgfutil@empty % no position, use default \tikz@@parse@pin@active[#1]\tikz@pin@default@pos:#2:\pgf@nil% \else \tikz@@parse@pin@active[#1]#2:#3\pgf@nil% \fi}% \long\gdef\tikz@@parse@pin@active[#1]#2:#3:\pgf@nil{% \tikzset{% append after command = {% \bgroup [current point is local = true] \pgfextra{\let\tikz@save@last@node=\tikzlastnode\tikz@node@is@a@labelfalse}% node [tikz@label@angle = #2, anchor=@auto, every pin, #1, append after command = {% (\tikz@save@last@node) edge [every pin edge, tikz@pre@pin@edge, tikz@pin@options] (\tikzlastnode)}, tikz@label@post = \tikz@pin@distance, tikz@pin@post] {#3} \egroup}}}% \endgroup \long\def\tikz@parse@pin@nonactive[#1]#2:#3\pgf@nil{% \def\tikz@temp{#3}% \ifx\tikz@temp\pgfutil@empty % no position, use default \tikz@@parse@pin@nonactive[#1]\tikz@pin@default@pos:#2:\pgf@nil% \else \tikz@@parse@pin@nonactive[#1]#2:#3\pgf@nil% \fi}% \long\def\tikz@@parse@pin@nonactive[#1]#2:#3:\pgf@nil{% \tikzset{% append after command = {% \bgroup [current point is local = true] \pgfextra{\let\tikz@save@last@node=\tikzlastnode\tikz@node@is@a@labelfalse}% node [tikz@label@angle = #2, anchor=@auto, every pin, #1, append after command = {% (\tikz@save@last@node) edge [every pin edge, tikz@pre@pin@edge, tikz@pin@options] (\tikzlastnode)}, tikz@label@post = \tikz@pin@distance, tikz@pin@post] {#3} \egroup}}}% % Label and pin options \tikzset{ label distance/.store in=\tikz@label@distance, label distance=0pt, label position/.store in=\tikz@label@default@pos, label position=above, absolute/.is if=tikz@absolute, tikz@label@angle/.store in=\tikz@label@angle }% \newif\iftikz@absolute \def\tikz@on@text{center}% \tikzset{tikz@label@post/.code 2 args={ \edef\tikz@label@angle{\tikz@label@angle}% \expandafter\pgfkeys@spdef\expandafter\tikz@label@angle\expandafter{\tikz@label@angle}% \csname tikz@label@angle@is@\tikz@label@angle\endcsname \ifx\tikz@label@angle\tikz@on@text% \def\tikz@node@at{\pgfpointanchor{\tikzlastnode}{center}}% \def\tikz@anchor{center}% \else% \iftikz@absolute% \pgftransformreset% \pgf@process{% \pgfpointshapeborder{\tikzlastnode}% {\pgfpointadd{\pgfpointanchor{\tikzlastnode}{center}}{\pgfpointpolar{\tikz@label@angle}{1pt}}}}% \edef\tikz@node@at{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}% \tikz@compute@direction{\tikz@label@angle}% \tikz@addtransform{\pgftransformshift{\pgfpointpolar{\tikz@label@angle}{#1}}}% \else% \pgf@process{\pgfpointanchor{\tikzlastnode}{\tikz@label@angle}}% \edef\tikz@node@at{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}% \pgf@xb=\pgf@x% \pgf@yb=\pgf@y% \pgf@process{\pgfpointanchor{\tikzlastnode}{center}}% \pgf@xc=\pgf@x% \pgf@yc=\pgf@y% \tikz@label@simplefalse% \ifdim\pgf@xc=\pgf@xb\relax% \ifdim\pgf@yc=\pgf@yb\relax% \tikz@label@simpletrue% \fi% \fi% \iftikz@label@simple% \tikz@compute@direction{\tikz@label@angle}% \tikz@addtransform{\pgftransformshift{\pgfpointpolar{\tikz@label@angle}{#1}}}% \else% \pgf@process{\pgfpointnormalised{% \pgfpointdiff{\pgfpointtransformed{\pgfqpoint{\pgf@xc}{\pgf@yc}}}{\pgfpointtransformed{\pgfqpoint{\pgf@xb}{\pgf@yb}}}}}% \edef\pgf@marshal{% \noexpand\tikz@addtransform{\noexpand\pgftransformshift{\noexpand\pgfpointscale{#1}{ \noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}}}}}% \pgf@marshal% \pgf@xc=\pgf@x% \pgf@yc=\pgf@y% \pgf@x=\pgf@yc% \pgf@y=-\pgf@xc% \ifx\tikz@anchor\tikz@auto@text% \tikz@auto@anchor% \fi% \fi% \fi% \fi} }% \newif\iftikz@label@simple% \tikzset{% label/.code={% \begingroup \ifnum\the\catcode`\:=\active\relax \def\tikz@next{% \endgroup \tikz@parse@label@active@i{#1}}% \else \def\tikz@next{% \endgroup \pgfutil@ifnextchar[%] {\tikz@parse@label@nonactive} {\tikz@parse@label@nonactive[]}#1:\pgf@nil}% \fi \tikz@next}}% \begingroup \catcode`\:=\active\relax \gdef\tikz@parse@label@active@i#1{% \pgfutil@ifnextchar[%] {\tikz@parse@label@active} {\tikz@parse@label@active[]}#1:\pgf@nil}% \gdef\tikz@parse@label@active[#1]#2:#3\pgf@nil{% \def\tikz@temp{#3}% \ifx\tikz@temp\pgfutil@empty % no position, use default \tikz@@parse@label@active[#1]\tikz@label@default@pos:#2:\pgf@nil% \else \def\tikz@temp{#2}% \ifx\tikz@temp\pgfutil@empty \tikz@@parse@label@active[#1]\tikz@label@default@pos:#3\pgf@nil% \else \tikz@@parse@label@active[#1]#2:#3\pgf@nil% \fi \fi }% \gdef\tikz@@parse@label@active[#1]#2:#3:\pgf@nil{% \tikzset{% append after command = {% \bgroup [current point is local=true] \pgfextra{\let\tikz@save@last@fig@name=\tikz@last@fig@name\tikz@node@is@a@labelfalse} node [tikz@label@angle = #2, anchor=@auto, every label, #1, tikz@label@post = \tikz@label@distance] {\iftikz@handle@active@nodes\expandafter\scantokens\else\expandafter\pgfutil@firstofone\fi{#3\noexpand}} \pgfextra{\global\let\tikz@last@fig@name=\tikz@save@last@fig@name} \egroup}}}% \endgroup \def\tikz@parse@label@nonactive[#1]#2:#3\pgf@nil{% \def\tikz@temp{#3}% \ifx\tikz@temp\pgfutil@empty % no position, use default \tikz@@parse@label@nonactive[#1]\tikz@label@default@pos:#2:\pgf@nil% \else \def\tikz@temp{#2}% \ifx\tikz@temp\pgfutil@empty \tikz@@parse@label@nonactive[#1]\tikz@label@default@pos:#3\pgf@nil% \else \tikz@@parse@label@nonactive[#1]#2:#3\pgf@nil% \fi \fi }% \def\tikz@@parse@label@nonactive[#1]#2:#3:\pgf@nil{% \tikzset{% append after command = {% \bgroup [current point is local=true] \pgfextra{\let\tikz@save@last@fig@name=\tikz@last@fig@name\tikz@node@is@a@labelfalse} node [tikz@label@angle = #2, anchor=@auto, every label, #1, tikz@label@post = \tikz@label@distance] {\iftikz@handle@active@nodes\expandafter\scantokens\else\expandafter\pgfutil@firstofone\fi{#3\noexpand}} \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{% \ifx\tikz@anchor\tikz@auto@text% \let\tikz@do@auto@anchor=\relax \pgfmathsetcount{\c@pgf@counta}{#1}% \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% \fi% }% \def\tikz@auto@text{@auto}% % General node options \tikzset{ name/.code={\edef\tikz@fig@name{\tikz@pp@name{#1}}\let\tikz@id@name\tikz@fig@name},% name prefix/.initial=,% name suffix/.initial=% }% \def\tikz@pp@name#1{\csname pgfk@/tikz/name prefix\endcsname#1\csname pgfk@/tikz/name suffix\endcsname}% \tikzset{ node contents/.code=\def\tikz@node@content{#1}, pic type/.code=\def\tikz@node@content{#1}, % alias }% \tikzset{ behind path/.code=\def\tikz@whichbox{\tikz@figbox@bg}, in front of path/.code=\def\tikz@whichbox{\tikz@figbox} }% \def\tikz@whichbox{\tikz@figbox}% \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}{\tikzset{every node/.append style={#1}}}% \tikzset{alias/.code={% \tikz@fig@mustbenamed \begingroup \toks0=\expandafter{\tikz@alias}% \edef\pgf@temp{\noexpand\pgfnodealias{\tikz@pp@name{#1}}{\noexpand\tikz@fig@name}}% \toks1=\expandafter{\pgf@temp}% \xdef\pgf@marshal{% \noexpand\def\noexpand\tikz@alias{\the\toks0 \the\toks1 }% }% \endgroup \pgf@marshal }}% % deprecated: \def\tikzaddafternodepathoption#1{#1\tikzset{prefix after command={\pgfextra{#1}}}}% \tikzset{after node path/.style={append after command={#1}}}% % Pic options \newif\iftikz@node@is@pic \tikzset{pic text/.store in=\tikzpictext}% \let\tikzpictext\relax \tikzset{pic text options/.store in=\tikzpictextoptions}% \let\tikzpictextoptions\pgfutil@empty % Anchoring \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}}% \tikzset{centered/.code=\def\tikz@anchor{center}}% \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{\tikz@pp@name{#1}}{center}}}% \def\tikz@extract@node@dist#1and#2\pgf@stop{% \def\tikz@extracted@node@distance{#1}}% \tikzset{ transform shape nonlinear/.is choice, transform shape nonlinear/.default=true, transform shape nonlinear/true/.code=\let\tikz@nlt\relax, transform shape nonlinear/false/.code=\def\tikz@nlt{\pgfapproximatenonlineartranslation}, transform shape nonlinear=false, }% \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} \tikzset{ overlay/.is choice, overlay/true/.code={\pgf@relevantforpicturesizefalse}, overlay/false/.code={\pgf@relevantforpicturesizetrue}, overlay/.default=true } % 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}\ifx\tikz@time\pgfutil@empty\else\pgfmathsetmacro\tikz@time{\tikz@time}\fi}% \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% }% \tikzset{'/.style=swap}% shorthand \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{node font}{\def\tikz@node@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{\pgfutil@raggedright\rightskip0pt plus2em \spaceskip.3333em \xspaceskip.5em\relax}}% \tikzoption{text badly ragged}[]{\def\tikz@text@action{\pgfutil@raggedright\relax}}% \tikzoption{text ragged left}[]% {\def\tikz@text@action{\pgfutil@raggedleft\leftskip0pt plus2em \spaceskip.3333em \xspaceskip.5em\relax}}% \tikzoption{text badly ragged left}[]{\def\tikz@text@action{\pgfutil@raggedleft\relax}}% \tikzoption{text justified}[]{\def\tikz@text@action{\leftskip0pt\rightskip0pt\relax}}% \tikzoption{text centered}[]{\def\tikz@text@action{% \leftskip0pt plus2em% \rightskip0pt plus2em% \spaceskip.3333em \xspaceskip.5em% \parfillskip=0pt% \iftikz@warn@for@narrow@centered\else\hbadness10000\fi% \let\\=\@centercr% for latex \relax}}% \tikzoption{text badly centered}[]% {\def\tikz@text@action{% \let\\=\@centercr% for latex \parfillskip=0pt% \rightskip\pgfutil@flushglue% \leftskip\pgfutil@flushglue\relax}}% \tikzset{badness warnings for centered text/.is if=tikz@warn@for@narrow@centered}% \newif\iftikz@warn@for@narrow@centered \def\tikz@text@reset{% \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 \let\tikz@node@textfont=\pgfutil@empty \def\tikz@text@action{\pgfutil@raggedright\rightskip0pt plus2em \spaceskip.3333em \xspaceskip.5em\relax}% } \tikz@text@reset % Alignment \tikzset{ node halign header/.initial=, align/.is choice, align/left/.style ={text ragged,node halign header=\tikz@align@left@header}, align/flush left/.style ={text badly ragged,node halign header=\tikz@align@left@header}, align/right/.style ={text ragged left,node halign header=\tikz@align@right@header}, align/flush right/.style ={text badly ragged left,node halign header=\tikz@align@right@header}, align/center/.style={text centered,node halign header=\tikz@align@center@header}, align/flush center/.style={text badly centered,node halign header=\tikz@align@center@header}, align/justify/.style ={text justified,node halign header=\tikz@align@left@header}, align/none/.style ={text justified,node halign header=}, }% \def\tikz@align@left@header{##\hfil\cr}% \def\tikz@align@right@header{\hfil##\cr}% \def\tikz@align@center@header{\hfil##\hfil\cr}% % Arrow options \tikzoption{arrows}{\tikz@processarrows{#1}}% \tikzoption{>}{\pgfdeclarearrow{name=<->,means={#1}}}% \pgfdeclarearrow{name=|<->|, means={>[sep=0pt].|}}% \tikzoption{shorten <}{\pgfsetshortenstart{#1}}% \tikzoption{shorten >}{\pgfsetshortenend{#1}}% \def\tikz@processarrows#1{% \def\tikz@current@arrows{#1}% \def\tikz@temp{#1}% \ifx\tikz@temp\pgfutil@empty% \else% \pgfsetarrows{#1}% \fi% }% \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}{\edef\tikz@plot@domain{#1}\expandafter\tikz@plot@samples@recalc\tikz@plot@domain\relax}% \tikzoption{range}{\def\tikz@plot@range{#1}}% \tikzoption{yrange}{\def\tikz@plot@range{#1}}% \let\tikz@plot@range=\pgfutil@empty \tikzoption{xrange}{\def\tikz@plot@xrange{#1}}% \let\tikz@plot@xrange=\pgfutil@empty % 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{sharp cycle}[]{\let\tikz@plot@handler\pgfplothandlerpolygon}% \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{ybar}[]{\let\tikz@plot@handler=\pgfplothandlerybar}% \tikzoption{ybar interval}[]{\let\tikz@plot@handler=\pgfplothandlerybarinterval}% \tikzoption{xbar interval}[]{\let\tikz@plot@handler=\pgfplothandlerxbarinterval}% \tikzoption{xbar}[]{\let\tikz@plot@handler=\pgfplothandlerxbar}% \tikzoption{const plot}[]{\let\tikz@plot@handler=\pgfplothandlerconstantlineto}% \tikzoption{const plot mark left}[]{\let\tikz@plot@handler=\pgfplothandlerconstantlineto}% \tikzoption{const plot mark right}[]{\let\tikz@plot@handler=\pgfplothandlerconstantlinetomarkright}% \tikzoption{const plot mark mid}[]{\let\tikz@plot@handler=\pgfplothandlerconstantlinetomarkmid}% \tikzoption{jump mark right}[]{\let\tikz@plot@handler=\pgfplothandlerjumpmarkright}% \tikzoption{jump mark mid}[]{\let\tikz@plot@handler=\pgfplothandlerjumpmarkmid}% \tikzoption{jump mark left}[]{\let\tikz@plot@handler=\pgfplothandlerjumpmarkleft}% \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}{\pgfmathsetmacro\tikz@plot@samples{max(2,#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}% \def\tikz@temp{none}% \ifx\tikz@temp\tikz@plot@mark \let\tikz@plot@mark=\pgfutil@empty \fi }% \tikzset{ no marks/.style={mark=none},% no markers/.style={mark=none},% every mark/.style={}, mark options/.style={% every mark/.style={#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@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,-4.5833333,...,5}% \def\tikz@plot@samples@recalc#1:#2\relax{% \begingroup \pgfmathparse{#1}% \let\tikz@temp@start=\pgfmathresult% \pgfmathparse{#2}% \let\tikz@temp@end=\pgfmathresult% \pgfmathsetmacro\tikz@temp@diff{(\tikz@temp@end-\tikz@temp@start)/(\tikz@plot@samples-1)}% % % this particular item is for backwards compatibility. % Pgfplots <= 1.8 called 'samples' in a context where the 'fpu' was % active... and I fear there is no simple solution to replace the % new \ifdim below. Sorry. \pgfkeys{/pgf/fpu/output format/fixed/.try}% % \pgfmathsetmacro\tikz@temp@diff@abs{abs(\tikz@temp@diff)}% \ifdim\tikz@temp@diff@abs pt<0.0001pt\relax% \edef\tikz@plot@samplesat{\tikz@temp@start,\tikz@temp@end}% \else% \pgfmathparse{\tikz@temp@start+\tikz@temp@diff}% \edef\tikz@plot@samplesat{\tikz@temp@start,\pgfmathresult,...,\tikz@temp@end}% \fi% \pgfmath@smuggleone\tikz@plot@samplesat \endgroup }% \def\tikz@plot@prefix{\jobname.}% \def\tikz@plot@id{pgf-plot}% \newif\iftikz@plot@parametric \newif\iftikz@plot@raw@gnuplot % % To and edge options % \tikzoption{to path}{\def\tikz@to@path{#1}}% \def\tikz@to@path{-- (\tikztotarget) \tikztonodes}% \tikzset{edge macro/.store in=\tikz@edge@macro}% \let\tikz@edge@macro\pgfutil@empty \tikzset{ edge node/.code={ \expandafter\def\expandafter\tikz@tonodes\expandafter{\tikz@tonodes #1} }, edge label/.style={/tikz/edge node={node[auto]{#1}}}, edge label'/.style={/tikz/edge node={node[auto,swap]{#1}}}, }% % After command options \tikzset{ append after command/.code=\expandafter\def\expandafter\tikz@after@path\expandafter{\tikz@after@path#1}, prefix after command/.code={% \def\tikz@temp{#1}% \expandafter\expandafter\expandafter\def% \expandafter\expandafter\expandafter\tikz@after@path% \expandafter\expandafter\expandafter{% \expandafter\tikz@temp\tikz@after@path}% }, }% \let\tikz@after@path\pgfutil@empty % Tree options \newif\iftikz@child@missing \pgfkeys{/tikz/missing/.is if=tikz@child@missing}% \tikzset{edge from parent macro/.initial=\tikz@edge@from@parent@macro}% \def\tikz@edge@from@parent@macro#1#2{ [style=edge from parent, #1, /utils/exec=\tikz@node@is@a@labeltrue] \tikz@edge@to@parent@path #2}% \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}% \tikzset{grow siblings on line/.style={growth function=\tikz@grow@direction}}% \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=\tikzerror{You need to say \string\usetikzlibrary{snakes}}}% % Decorations \tikzset{decorate/.code=\tikzerror{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}{\tikzset{every cell/.append style={#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 % Automatic shorthand management \tikzset{% handle active characters in code/.is if=tikz@handle@active@code, handle active characters in nodes/.is if=tikz@handle@active@nodes, }% \newif\iftikz@handle@active@code \newif\iftikz@handle@active@nodes % 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 matrix}{\expandafter\def\expandafter\tikz@atbegin@matrix\expandafter{\tikz@atbegin@matrix#1}}% \tikzoption{execute at end matrix}{\expandafter\def\expandafter\tikz@atend@matrix\expandafter{\tikz@atend@matrix#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 \let\tikz@atbegin@matrix=\pgfutil@empty \let\tikz@atend@matrix=\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 % % \tikzset{help lines/.style= {color=gray,line width=0.2pt}}% \tikzset{every picture/.style= {}}% \tikzset{every path/.style= {}}% \tikzset{every scope/.style= {}}% \tikzset{every plot/.style= {}}% \tikzset{every node/.style= {}}% \tikzset{every child/.style= {}}% \tikzset{every child node/.style= {}}% \tikzset{every to/.style= {}}% \tikzset{every cell/.style= {}}% \tikzset{every matrix/.style= {}}% \tikzset{every edge/.style= {draw}}% \tikzset{every label/.style= {draw=none,fill=none}}% \tikzset{every pin/.style= {draw=none,fill=none}}% \tikzset{every pin edge/.style= {help lines}}% \tikzset{ultra thin/.style= {line width=0.1pt}}% \tikzset{very thin/.style= {line width=0.2pt}}% \tikzset{thin/.style= {line width=0.4pt}}% \tikzset{semithick/.style= {line width=0.6pt}}% \tikzset{thick/.style= {line width=0.8pt}}% \tikzset{very thick/.style= {line width=1.2pt}}% \tikzset{ultra thick/.style= {line width=1.6pt}}% \tikzset{solid/.style= {dash pattern=}}% \tikzset{dotted/.style= {dash pattern=on \pgflinewidth off 2pt}}% \tikzset{densely dotted/.style= {dash pattern=on \pgflinewidth off 1pt}}% \tikzset{loosely dotted/.style= {dash pattern=on \pgflinewidth off 4pt}}% \tikzset{dashed/.style= {dash pattern=on 3pt off 3pt}}% \tikzset{densely dashed/.style= {dash pattern=on 3pt off 2pt}}% \tikzset{loosely dashed/.style= {dash pattern=on 3pt off 6pt}}% \tikzset{dashdotted/.style= {dash pattern=on 3pt off 2pt on \the\pgflinewidth off 2pt}}% \tikzset{dash dot/.style= {dash pattern=on 3pt off 2pt on \the\pgflinewidth off 2pt}}% \tikzset{densely dashdotted/.style= {dash pattern=on 3pt off 1pt on \the\pgflinewidth off 1pt}}% \tikzset{densely dash dot/.style= {dash pattern=on 3pt off 1pt on \the\pgflinewidth off 1pt}}% \tikzset{loosely dashdotted/.style= {dash pattern=on 3pt off 4pt on \the\pgflinewidth off 4pt}}% \tikzset{loosely dash dot/.style= {dash pattern=on 3pt off 4pt on \the\pgflinewidth off 4pt}}% \tikzset{dashdotdotted/.style= {dash pattern=on 3pt off 2pt on \the\pgflinewidth off 2pt on \the\pgflinewidth off 2pt}}% \tikzset{densely dashdotdotted/.style= {dash pattern=on 3pt off 1pt on \the\pgflinewidth off 1pt on \the\pgflinewidth off 1pt}}% \tikzset{loosely dashdotdotted/.style= {dash pattern=on 3pt off 4pt on \the\pgflinewidth off 4pt on \the\pgflinewidth off 4pt}}% \tikzset{dash dot dot/.style= {dash pattern=on 3pt off 2pt on \the\pgflinewidth off 2pt on \the\pgflinewidth off 2pt}}% \tikzset{densely dash dot dot/.style= {dash pattern=on 3pt off 1pt on \the\pgflinewidth off 1pt on \the\pgflinewidth off 1pt}}% \tikzset{loosely dash dot dot/.style= {dash pattern=on 3pt off 4pt on \the\pgflinewidth off 4pt on \the\pgflinewidth off 4pt}}% \tikzset{transparent/.style= {opacity=0}}% \tikzset{ultra nearly transparent/.style={opacity=0.05}}% \tikzset{very nearly transparent/.style= {opacity=0.1}}% \tikzset{nearly transparent/.style= {opacity=0.25}}% \tikzset{semitransparent/.style= {opacity=0.5}}% \tikzset{nearly opaque/.style= {opacity=0.75}}% \tikzset{very nearly opaque/.style= {opacity=0.9}}% \tikzset{ultra nearly opaque/.style= {opacity=0.95}}% \tikzset{opaque/.style= {opacity=1}}% \tikzset{at start/.style= {pos=0}}% \tikzset{very near start/.style= {pos=0.125}}% \tikzset{near start/.style= {pos=0.25}}% \tikzset{midway/.style= {pos=0.5}}% \tikzset{near end/.style= {pos=0.75}}% \tikzset{very near end/.style= {pos=0.875}}% \tikzset{at end/.style= {pos=1}}% \tikzset{bend at start/.style= {bend pos=0,bend={+(0,0)}}}% \tikzset{bend at end/.style= {bend pos=1,bend={+(0,0)}}}% \tikzset{edge from parent/.style= {draw}}% % Animation callbacks \tikzset{ animate/.code=\tikzerror{You need to say \string\usetikzlibrary{animations} to use animations} } % ID callbacks \newif\iftikz@is@node \let\tikz@id@name\pgfutil@empty \let\tikz@id@hook\pgfutil@empty \def\tikz@call@id@hook{\ifx\tikz@id@hook\pgfutil@empty\else\tikz@id@hook\pgfuseid{\tikz@id@name}\fi}% % RDF stuff \let\tikz@clear@rdf@options\relax \let\tikz@do@rdf@post@options\relax \let\tikz@do@rdf@pre@options\relax % % 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\tikz@compat@color@set\expandafter{\tikz@key}}% \edef\tikz@textcolor{\tikz@key}% \else% \pgfutil@doifcolorelse{\tikz@key} {% \expandafter\tikz@addoption\expandafter{\expandafter\tikz@compat@color@set\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/.expand once=\expandafter{\expandafter/\expandafter t\expandafter i\expandafter k\expandafter z\expandafter/\tikz@key}{#1}}% \else% \edef\tikz@shape{\tikz@key}% \fi% \fi% }% \fi% \fi% }% \def\tikz@compat@color@set#1{% \pgfutil@color{#1}\pgfutil@colorlet{pgffillcolor}{#1}% \expandafter\let\expandafter\pgf@temp\csname\string\color@pgffillcolor\endcsname% % for arrow tips: \global\let\pgf@strokecolor@global=\pgf@temp \global\let\pgf@fillcolor@global=\pgf@temp }% \def\tikz@startup@env{% \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% \tikz@deactivatthings% \iftikz@handle@active@code% \tikz@switchoff@shorthands% \fi% }% % % Main TikZ Environment % \newif\iftikz@inside@picture \tikz@inside@picturefalse \def\tikz@check@inside@picture{% \iftikz@inside@picture% \pgfwarning{Nesting tikzpictures is NOT supported}% \fi% \tikz@inside@picturetrue% } \def\tikzpicture{% \begingroup% \tikz@startup@env% \tikz@collect@scope@anims\tikz@picture}% \def\tikz@picture[#1]{% %\tikz@check@inside@picture% \pgfpicture% \let\tikz@atbegin@picture=\pgfutil@empty% \let\tikz@atend@picture=\pgfutil@empty% \let\tikz@transform=\relax% \def\tikz@time{.5}% \tikz@installcommands% \scope[every picture,#1]% \iftikz@handle@active@code% \tikz@switchoff@shorthands% \fi% \expandafter\tikz@atbegin@picture% \tikz@lib@scope@check% }% \def\endtikzpicture{% \tikz@atend@picture% \global\let\pgf@shift@baseline@smuggle=\pgf@baseline% \global\let\pgf@trimleft@final@smuggle=\pgf@trimleft% \global\let\pgf@trimright@final@smuggle=\pgf@trimright% \global\let\pgf@remember@smuggle=\ifpgfrememberpicturepositiononpage% \pgf@remember@layerlist@globally \endscope% \let\pgf@baseline=\pgf@shift@baseline@smuggle% \let\pgf@trimleft=\pgf@trimleft@final@smuggle% \let\pgf@trimright=\pgf@trimright@final@smuggle% \let\ifpgfrememberpicturepositiononpage=\pgf@remember@smuggle% \pgf@restore@layerlist@from@global \endpgfpicture\endgroup}% % 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{% \begingroup% \tikz@startup@env% \tikz@collect@scope@anims\tikz@opt}% \def\tikz@opt[#1]{\tikzpicture[#1]\pgfutil@ifnextchar\bgroup{\tikz@}{\tikz@@single}}% \def\tikz@{\bgroup\tikz@auto@end@pathtrue\aftergroup\endtikzpicture\aftergroup\endgroup\let\pgf@temp=}% \def\tikz@@single#1{% \expandafter\ifx\csname tikz@protected@command\string#1\endcsname\relax% \expandafter\tikz@@% \else% \begingroup\def\tikz@path@do@at@end{\endgroup\endtikzpicture\endgroup}% \fi% #1% }% \expandafter\let\csname tikz@protected@command\string\draw\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\pattern\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\fill\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\filldraw\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\shade\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\shadedraw\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\clip\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\graph\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\useasboundingbox\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\node\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\coordinate\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\matrix\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\datavisualization\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\path\endcsname\pgfutil@empty% \expandafter\let\csname tikz@protected@command\string\pic\endcsname\pgfutil@empty% % Comment by TT: I hope I fixed the \tikz \foreach problem. The new % version will take a conservative approach and will only do fancy % stuff when the next keyword after \tikz is one of the following: % \draw, \fill, \filldraw, \graph, \matrix, \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\endgroup} { \catcode`\;=\active \gdef\tikz@collectactivesemicolon#1;{#1;\endtikzpicture\endgroup} }% % End old code % Invokes '#1' if the command is invoked within a tikzpicture and % '#2' if not. \def\tikzifinpicture#1#2{% \pgfutil@ifundefined{filldraw}{#2}{#1}% TT: This is a wrong % test! Who uses this?... }% \def\tikz@collect@scope@anims#1{% \pgfutil@ifnextchar[#1{#1[]}%] }% % % Environment for scoping graphic state settings % \def\tikz@scope@env{% \pgfscope% \begingroup% \let\tikz@atbegin@scope=\pgfutil@empty% \let\tikz@atend@scope=\pgfutil@empty% \let\tikz@options=\pgfutil@empty% \tikz@clear@rdf@options% \let\tikz@mode=\pgfutil@empty% \let\tikz@id@name=\pgfutil@empty% \tikz@transparency@groupfalse% \tikzset{every scope/.try}% \tikz@collect@scope@anims\tikz@scope@opt% }% \def\tikz@scope@opt[#1]{% \tikzset{#1}% \tikz@options% \tikz@do@rdf@pre@options% \iftikz@transparency@group\expandafter\pgftransparencygroup\expandafter[\tikz@transparency@group@options]\tikz@blend@group\fi% \tikz@is@nodefalse% \tikz@call@id@hook% \pgfidscope% \tikz@do@rdf@post@options% \begingroup% \let\tikz@id@name\pgfutil@empty% \expandafter\tikz@atbegin@scope% \expandafter\pgfclearid% \tikz@lib@scope@check% }% \def\endtikz@scope@env{% \tikz@atend@scope% \endgroup% \endpgfidscope% \iftikz@transparency@group\endpgftransparencygroup\fi% \endgroup% \endpgfscope% \tikz@lib@scope@check% }% \def\tikz@scoped{\tikz@collect@scope@anims\tikz@scoped@opt}% \def\tikz@scoped@opt[#1]{\scope[#1]\pgfutil@ifnextchar\bgroup{\tikz@scoped@}{\tikz@scoped@@single}}% \def\tikz@scoped@{\bgroup\tikz@auto@end@pathtrue\aftergroup\endscope\let\pgf@temp=}% \def\tikz@scoped@@single#1{% \expandafter\ifx\csname tikz@scoped@protected@command\string#1\endcsname\relax% \expandafter\tikz@scoped@@% \else% \begingroup\def\tikz@scoped@path@do@at@end{\endgroup\endscope}% \fi% #1% }% \def\tikz@scoped@@{% \let\tikz@scoped@next=\tikz@scoped@collectnormalsemicolon% \ifnum\the\catcode`\;=\active\relax% \let\tikz@scoped@next=\tikz@scoped@collectactivesemicolon% \fi% \tikz@scoped@next}% \def\tikz@scoped@collectnormalsemicolon#1;{#1;\endscope} { \catcode`\;=\active \gdef\tikz@scoped@collectactivesemicolon#1;{#1;\endscope} }% % Install a shortcut command which is only valid inside of a % tikzpicture. % % It works in the same way as the '\path' shortcut does: it introduces % a \let#1=#2 at the beginning of tikzpicture. % % #1: shortcut command inside of tikzpicture % #2: real command name \def\tikzaddtikzonlycommandshortcutlet#1#2{% \expandafter\def\expandafter\tikz@installcommands\expandafter{\tikz@installcommands \let#1=#2% }% }% % Has the same effect as \tikzaddtikzonlycommandshortcutlet but uses % \def#1{#2} instead of \let. \def\tikzaddtikzonlycommandshortcutdef#1#2{% \expandafter\def\expandafter\tikz@installcommands\expandafter{\tikz@installcommands \def#1{#2}% }% }% % % Install the abbreviated commands % \def\tikz@installcommands{% \let\tikz@origscope=\scope% \let\tikz@origscoped=\scoped% \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@origpic=\pic% \let\tikz@origcoordinate=\coordinate% \let\tikz@origmatrix=\matrix% \let\tikz@origcalendar=\calendar% \let\tikz@origdv=\datavisualization% \let\tikz@origgraph=\graph% % \let\scope=\tikz@scope@env% \let\scoped=\tikz@scoped% \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\graph{\path graph}% \def\useasboundingbox{\path[use as bounding box]}% \def\node{\tikz@path@overlay{node}}% \def\pic{\tikz@path@overlay{pic}}% \def\coordinate{\tikz@path@overlay{coordinate}}% \def\matrix{\tikz@path@overlay{node[matrix]}}% \def\calendar{\tikz@lib@cal@calendar}% \def\datavisualization{\tikz@lib@datavisualization}% }% \ifx\tikz@lib@cal@calendar\@undefined \def\tikz@lib@cal@calendar{\tikzerror{You need to say \string\usetikzlibrary{calendar} to use the \string\calendar{} command}}% \fi \ifx\tikz@lib@datavisualization\@undefined \def\tikz@lib@datavisualization{\tikzerror{You need to say \string\usetikzlibrary{datavisualization} to use the \string\datavisualization{} command}}% \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{% \let\scope=\tikz@origscope% \let\scoped=\tikz@origscoped% \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\pic=\tikz@origpic% \let\coordinate=\tikz@origcoordinate% \let\matrix=\tikz@origmatrix% \let\calendar=\tikz@origcalendar% \let\datavisualization=\tikz@origdv% \let\graph=\tikz@origgraph% }% {% \catcode`\;=12 \gdef\tikz@nonactivesemicolon{;}% \catcode`\:=12 \gdef\tikz@nonactivecolon{:}% \catcode`\|=12 \gdef\tikz@nonactivebar{|}% \catcode`\!=12 \gdef\tikz@nonactiveexlmark{!}% \catcode`\;=\active \catcode`\:=\active \catcode`\|=\active \catcode`\"=\active \catcode`\!=\active \gdef\tikz@activesemicolon{;}% \gdef\tikz@activecolon{:}% \gdef\tikz@activebar{|}% \gdef\tikz@activequotes{"}% \global\let\tikz@active@quotes@token="% \gdef\tikz@activeexlmark{!}% \gdef\tikz@deactivatthings{% \def;{\tikz@nonactivesemicolon}% \def:{\tikz@nonactivecolon}% \def|{\tikz@nonactivebar}% \def!{\tikz@nonactiveexlmark}% }% }% \let\tikz@orig@shorthands\pgfutil@empty \def\tikz@switchoff@shorthands{% \ifx\tikz@orig@shorthands\pgfutil@empty% \edef\tikz@orig@shorthands{% \catcode\noexpand`\noexpand\;\the\catcode`\;\relax% \catcode\noexpand`\noexpand\:\the\catcode`\:\relax% \catcode\noexpand`\noexpand\|\the\catcode`\|\relax% \catcode\noexpand`\noexpand\!\the\catcode`\!\relax% \catcode\noexpand`\noexpand\,\the\catcode`\,\relax% \catcode\noexpand`\noexpand\<\the\catcode`\<\relax% \catcode\noexpand`\noexpand\>\the\catcode`\>\relax% \catcode\noexpand`\noexpand\"\the\catcode`\"\relax% \catcode\noexpand`\noexpand\'\the\catcode`\'\relax% \catcode\noexpand`\noexpand\-\the\catcode`\-\relax% \catcode\noexpand`\noexpand\=\the\catcode`\=\relax% \catcode\noexpand`\noexpand\.\the\catcode`\.\relax% \catcode\noexpand`\noexpand\$\the\catcode`\$\relax% }% \catcode`\;12\relax% \catcode`\:12\relax% \catcode`\|12\relax% \catcode`\!12\relax% \catcode`\,12\relax% \catcode`\<12\relax% \catcode`\>12\relax% \catcode`\"12\relax% \catcode`\'12\relax% \catcode`\-12\relax% \catcode`\=12\relax% \catcode`\.12\relax% \catcode`\$3\relax% \fi% }% % 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}}}% \pgfutil@protected\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;{\alt<#1>{\tikz@@command@path#2;}{\tikz@path@do@at@end}}% { \catcode`\;=\active \long\global\def\tikz@eargactivesemicolon<#1>#2;{\alt<#1>{\tikz@@command@path#2;}{\tikz@path@do@at@end}}% } \def\tikz@@command@path{% \edef\tikzscope@linewidth{\the\pgflinewidth}% \begingroup% \setbox\tikz@figbox=\box\pgfutil@voidb@x% \setbox\tikz@figbox@bg=\box\pgfutil@voidb@x% \let\tikz@path@do@at@end=\tikz@lib@scope@check% \let\tikz@options=\pgfutil@empty% \tikz@clear@rdf@options% \let\tikz@mode=\pgfutil@empty% \let\tikz@moveto@waiting=\relax% \let\tikz@timer=\relax% \let\tikz@tangent=\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=100\relax% \pgf@path@lastx=0pt% \pgf@path@lasty=0pt% \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\pgf@let@token=% }% \newcount\tikz@expandcount \let\tikz@collected@onpath=\pgfutil@empty% % Central dispatcher for commands \def\tikz@handle{% \let\pgfutil@next=\tikz@expand% \ifx\pgf@let@token(%) \let\pgfutil@next=\tikz@movetoabs% \else% \ifx\pgf@let@token+% \let\pgfutil@next=\tikz@movetorel% \else% \ifx\pgf@let@token-% \let\pgfutil@next=\tikz@lineto% \else% \ifx\pgf@let@token.% \let\pgfutil@next=\tikz@dot% \else% \ifx\pgf@let@token r% \let\pgfutil@next=\tikz@rect% \else% \ifx\pgf@let@token n% \let\pgfutil@next=\tikz@fig% \else% \ifx\pgf@let@token[%] \let\pgfutil@next=\tikz@parse@options% \else% \ifx\pgf@let@token c% \let\pgfutil@next=\tikz@cchar% \else% \ifx\pgf@let@token\bgroup% \let\pgfutil@next=\tikz@beginscope% \else% \ifx\pgf@let@token\egroup% \let\pgfutil@next=\tikz@endscope% \else% \ifx\pgf@let@token;% \let\pgfutil@next=\tikz@finish% \else% \let\pgfutil@next=\tikz@handle@more% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \pgfutil@next% }% % Continued... \def\tikz@handle@more{% \ifx\pgf@let@token a% \let\pgfutil@next=\tikz@a@char% \else% \ifx\pgf@let@token e% \let\pgfutil@next=\tikz@e@char% \else% \ifx\pgf@let@token g% \let\pgfutil@next=\tikz@g@char% \else% \ifx\pgf@let@token s% \let\pgfutil@next=\tikz@schar% \else% \ifx\pgf@let@token |% \let\pgfutil@next=\tikz@vh@lineto% \else% \ifx\pgf@let@token p% \let\pgfutil@next=\tikz@pchar% \pgfsetmovetofirstplotpoint% \else% \ifx\pgf@let@token t% \let\pgfutil@next=\tikz@to% \else% \ifx\pgf@let@token\pgfextra% \let\pgfutil@next=\tikz@extra% \else% \ifx\pgf@let@token\foreach% \let\pgfutil@next=\tikz@foreach% \else% \ifx\pgf@let@token f% \let\pgfutil@next=\tikz@fchar% \else% \ifx\pgf@let@token\pgf@stop% \let\pgfutil@next=\relax% \else% \ifx\pgf@let@token\par% \let\pgfutil@next=\tikz@scan@next@command% \else% \ifx\pgf@let@token d% \let\pgfutil@next=\tikz@decoration% \else% \ifx\pgf@let@token l% \let\pgfutil@next=\tikz@l@char% \else% \ifx\pgf@let@token:% \let\pgfutil@next=\tikz@colon@char% \else% \let\pgfutil@next=\tikz@expand% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \fi% \ifx\pgfutil@next\tikz@expand\else\tikz@expandcount=100\relax\fi% \pgfutil@next% }% \def\tikz@l@char{% \pgfutil@ifnextchar e{\tikz@let@command}{% \pgfutil@ifnextchar i{\tikz@lsystem}{% \pgfutil@ifnextchar-{\tikz@@lsystem}{\tikz@expand}% }% }% }% \def\tikz@lsystem{% \tikzerror{You need to say \string\usetikzlibrary{lindenmayersystems} to draw Lindenmayer systems} }% \def\tikz@@lsystem{% \tikzerror{You need to say \string\usetikzlibrary{lindenmayersystems} to draw L-systems} }% \def\tikz@pchar{\pgfutil@ifnextchar l{\tikz@plot}{\pgfutil@ifnextchar i{\tikz@subpicture}{\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@a@char{% \pgfutil@ifnextchar r{\tikz@arcA}{\tikzerror{Arc expected}}}% \def\tikz@@e@char dge{% \pgfutil@ifnextchar f{\tikz@edgetoparent}{\tikz@edge@plain}}% \def\tikz@schar{\pgfutil@ifnextchar i{\tikz@sine}{\tikz@svg@path}}% \def\tikz@g@char r{\pgfutil@ifnextchar i{\tikz@grid}{\tikz@graph}}% % svg syntax % svg[options] {...} \def\tikz@svg@path{% \tikzerror{You need to say \string\usetikzlibrary{svg.path} to use the svg path command} }% \def\tikz@finish{% % Rendering pipeline % % Step 1: The path background box % \box\tikz@figbox@bg% % % Step 2: Decorate path % \iftikz@decoratepath% \tikz@lib@dec@decorate@path% \fi% % % Step 3: 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% % % Step 4: Reset modes % \let\tikz@path@picture=\pgfutil@empty% \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% \iftikz@mode@draw% \pgfsetfadingforcurrentpathstroked{\tikz@path@fading}{\tikz@do@fade@transform}% \else% \pgfsetfadingforcurrentpath{\tikz@path@fading}{\tikz@do@fade@transform}% \fi% \else% \pgfsetfading{\tikz@path@fading}{\tikz@do@fade@transform}% \fi% \tikz@mode@fade@pathfalse% no more fading... }% \fi% % % Step 5: Install scope fading % \iftikz@mode@fade@scope% \iftikz@fade@adjust% \iftikz@mode@draw% \pgfsetfadingforcurrentpathstroked{\tikz@scope@fading}{\tikz@do@fade@transform}% \else% \pgfsetfadingforcurrentpath{\tikz@scope@fading}{\tikz@do@fade@transform}% \fi% \else% \pgfsetfading{\tikz@scope@fading}{\tikz@do@fade@transform}% \fi% \tikz@mode@fade@scopefalse% \fi% % % Step 5': Setup options % \ifx\tikz@options\pgfutil@empty% \else% \pgfsys@beginscope% \let\pgfscope@stroke@color=\pgf@strokecolor@global% \let\pgfscope@fill@color=\pgf@fillcolor@global% \begingroup% \tikz@options% \fi% \tikz@do@rdf@pre@options% % % Step 5'': Setup animations % \tikz@is@nodefalse% \tikz@call@id@hook% \iftikz@mode@clip\else% \pgfidscope% \tikz@do@rdf@post@options% \begingroup% \fi% open an animation scope here, unless clipping is done % % Step 6: Do a fill if shade or a path picture 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% \pgfpushtype% \pgfusetype{.path fill}% \pgfsys@fill% \pgfpoptype% \tikz@mode@fillfalse% no more filling... \else% \ifx\tikz@path@picture\pgfutil@empty% \else% \pgfsyssoftpath@getcurrentpath\tikz@temppath \pgfprocessround{\tikz@temppath}{\tikz@temppath}% change the path \pgfsyssoftpath@setcurrentpath\tikz@temppath% \pgfsyssoftpath@invokecurrentpath% \pgfpushtype% \pgfusetype{.path fill}% \pgfsys@fill% \pgfpoptype% \tikz@mode@fillfalse% no more filling... \fi% \fi% \fi% % % Step 7: Do a shade if necessary. % \iftikz@mode@shade% \pgfsyssoftpath@getcurrentpath\tikz@temppath \pgfprocessround{\tikz@temppath}{\tikz@temppath}% change the path \pgfsyssoftpath@setcurrentpath\tikz@temppath% \pgfpushtype% \pgfusetype{.path shade}% \pgfshadepath{\tikz@shading}{\tikz@shade@angle}% \pgfpoptype% \tikz@mode@shadefalse% no more shading... \fi% % % Step 8: Do a path picture if necessary. % \ifx\tikz@path@picture\pgfutil@empty% \else% \begingroup% \pgfusetype{.path picture}% \pgfidscope% \pgfsys@beginscope% \let\tikz@id@name\pgfutil@empty% \pgfclearid% \pgfsyssoftpath@getcurrentpath\tikz@temppath \pgfprocessround{\tikz@temppath}{\tikz@temppath}% change the path \pgfsyssoftpath@setcurrentpath\tikz@temppath% \pgfsyssoftpath@invokecurrentpath% \pgfsys@clipnext% \pgfsys@discardpath% \pgf@relevantforpicturesizefalse% \expandafter\def\csname pgf@sh@ns@path picture bounding box\endcsname{rectangle} \expandafter\edef\csname pgf@sh@np@path picture bounding box\endcsname{% \def\noexpand\southwest{\noexpand\pgfqpoint{\the\pgf@pathminx}{\the\pgf@pathminy}}% \def\noexpand\northeast{\noexpand\pgfqpoint{\the\pgf@pathmaxx}{\the\pgf@pathmaxy}}% } \expandafter\def\csname pgf@sh@nt@path picture bounding box\endcsname{{1}{0}{0}{1}{0pt}{0pt}} \expandafter\def\csname pgf@sh@pi@path picture bounding box\endcsname{\pgfpictureid} \pgfinterruptpath% \tikz@path@picture% \endpgfinterruptpath% \pgfsys@endscope% \endpgfidscope% \endgroup% \let\tikz@path@picture=\pgfutil@empty% \fi% % % Step 9: Double stroke, if necessary % \iftikz@mode@draw% \iftikz@mode@double% % Change line width \begingroup% \pgfsys@beginscope% \tikz@double@setup% \fi% \fi% % % Step 10: Do stroke/fill/clip as needed % \pgfpushtype% \edef\tikz@temp{\noexpand\pgfusepath{% \iftikz@mode@fill fill,\fi% \iftikz@mode@draw draw,\fi% \iftikz@mode@clip clip\fi% }}% \pgfusetype{.path}% \tikz@temp% \pgfpoptype% \tikz@mode@fillfalse% no more filling % % Step 11: Double stroke, if necessary % \iftikz@mode@draw% \iftikz@mode@double% \pgfsys@endscope% \endgroup% \fi% \fi% \tikz@mode@drawfalse% no more stroking % % Step 12: Postactions % \tikz@postactions% % % Step 13: Add labels and nodes % \box\tikz@figbox% % % Step 14: Close animations % \iftikz@mode@clip\else\endgroup\endpgfidscope\fi% % % Step 14: Close option brace % \ifx\tikz@options\pgfutil@empty% \else% \endgroup% \global\let\pgf@strokecolor@global=\pgfscope@stroke@color% \global\let\pgf@fillcolor@global=\pgfscope@fill@color% \pgfsys@endscope% \iftikz@mode@clip% \tikzerror{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@path@do@at@end% }% \let\tikz@lib@scope@check\pgfutil@empty% this is a hook for the scopes library \def\tikz@path@do@at@end{\tikz@lib@scope@check}% \def\tikz@@pathtext{@path}% \def\pgf@outer@auto@adjust@hook{% {% \tikz@mode@drawfalse% \tikz@mode% \expandafter% }% \iftikz@mode@draw\else% \pgfkeyslet{/pgf/outer xsep}\pgf@zero@text \pgfkeyslet{/pgf/outer ysep}\pgf@zero@text \fi% }% % Extra actions \def\tikz@extra@preaction#1{% {% \pgfsys@beginscope% \setbox\tikz@figbox=\box\pgfutil@voidb@x% \setbox\tikz@figbox@bg=\box\pgfutil@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\pgfutil@voidb@x% \setbox\tikz@figbox@bg=\box\pgfutil@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% \tikzerror{Giving up on this path. Did you forget a semicolon?}% \let\pgfutil@next=\tikz@finish% \else% \let\pgfutil@next=\tikz@@expand \fi% \pgfutil@next}% \def\tikz@@expand{% \expandafter\tikz@scan@next@command\pgf@let@token}% % Syntax for scopes: % {scoped path commands} \newif\iftikz@auto@end@path \def\tikz@beginscope{\begingroup\tikz@auto@end@pathfalse\tikz@scan@next@command}% \def\tikz@endscope{% \iftikz@auto@end@path\expandafter\tikz@finish\expandafter\egroup\else\expandafter\tikz@@endscope\fi% }% \def\tikz@@endscope{% \global\setbox\tikz@tempbox=\box\tikz@figbox% \global\setbox\tikz@tempbox@bg=\box\tikz@figbox@bg% \global\let\tikz@tangent@temp\tikz@tangent% \edef\tikz@marshal{% \tikz@lastx=\the\tikz@lastx% \tikz@lasty=\the\tikz@lasty% \iftikz@current@point@local% \else% \tikz@lastxsaved=\the\tikz@lastxsaved% \tikz@lastysaved=\the\tikz@lastysaved% \ifx\tikz@moveto@waiting\relax% \let\tikz@moveto@waiting\relax% \else% \def\noexpand\tikz@moveto@waiting{\tikz@moveto@waiting}% \fi% \iftikz@shapeborder% \noexpand\tikz@shapebordertrue% \def\noexpand\tikz@shapeborder@name{\tikz@shapeborder@name}% \else% \noexpand\tikz@shapeborderfalse% \fi% \fi% }% \expandafter% \endgroup\tikz@marshal% \setbox\tikz@figbox=\box\tikz@tempbox% \setbox\tikz@figbox@bg=\box\tikz@tempbox@bg% \let\tikz@tangent\tikz@tangent@temp% \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} % % or % % \foreach \var in {list} {path text} % % Example: % % \draw (0,0) \foreach \x in {1,2,3} {-- (\x,0) circle (1cm)} -- (5,5); \def\tikz@fchar oreach{\tikz@foreach}% \def\tikz@foreach{% \def\pgffor@beginhook{% \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% \setbox\tikz@figbox@bg=\box\tikz@tempbox@bg% \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=\box\tikz@figbox% \global\setbox\tikz@tempbox@bg=\box\tikz@figbox@bg% \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% \let\pgffor@beginhook\relax% \let\pgffor@endhook\relax% \let\pgffor@afterhook\relax% \setbox\tikz@figbox=\box\tikz@tempbox% \setbox\tikz@figbox@bg=\box\tikz@tempbox@bg% \tikz@scan@next@command}% \global\setbox\tikz@tempbox=\box\tikz@figbox% \global\setbox\tikz@tempbox@bg=\box\tikz@figbox@bg% \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}% \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% }% }% % animation syntax % :attribute = {...} \def\tikz@colon@char#1=#2{% \tikz@scan@next@command{[animate={myself:{#1}={#2}}]}% }% % % 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: % \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 % waiting: \edef\tikz@moveto@waiting{\tikz@shapeborder@name}% \else% \tikz@@movetosave{\tikz@last@position}% \let\tikz@moveto@waiting=\relax% \fi% \tikz@scan@next@command% }% % Wrapper around \pgfpathmoveto that adds a save \def\tikz@@movetosave#1{% {\pgftransformreset \pgf@process{#1}% \xdef\tikz@marshal{% \tikz@lastmovetox=\the\pgf@x\relax% \tikz@lastmovetoy=\the\pgf@y\relax% }% }% \tikz@marshal \pgfpathmoveto{#1}% }% \let\tikz@moveto@waiting=\relax % normally, nothing is waiting... \def\tikz@flush@moveto{% \ifx\tikz@moveto@waiting\relax% \else% \tikz@@movetosave{\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}}% \tikz@@movetosave{\pgfqpoint{\pgf@x}{\pgf@y}}% \fi% \let\tikz@moveto@waiting=\relax% }% % % Collecting labels on the path % \def\tikz@collect@coordinate@onpath#1c{% \pgfutil@ifnextchar y{\tikz@cycle@expander@add#1}{\tikz@collect@coordinate@onpath@{#1}}}% \def\tikz@collect@coordinate@onpath@#1oordinate{% \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){}}% \newif\iftikz@collect@pic \def\tikz@collect@label@onpath#1node{% \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath node}% \let\tikz@collect@cont#1% \tikz@collect@picfalse% \tikz@collect@label@scan}% \def\tikz@collect@pic@onpath#1pic{% \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath pic}% \let\tikz@collect@cont#1 \tikz@collect@pictrue% \tikz@collect@label@scan}% \def\tikz@collect@label@scan{% \pgfutil@ifnextchar f{\tikz@collect@nodes}{% \pgfutil@ifnextchar({\tikz@collect@paran}% {\pgfutil@ifnextchar[{\tikz@collect@options}% {\pgfutil@ifnextchar:{\tikz@collect@animation}% {\pgfutil@ifnextchar\bgroup{\tikz@collect@arg}% {\tikz@collect@cont}}}}}% }%}}% \def\tikz@collect@nodes foreach#1in{% \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath foreach#1in}% \pgfutil@ifnextchar\bgroup\tikz@collect@nodes@group\tikz@collect@nodes@one% }% \def\tikz@collect@nodes@one#1{% \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath #1}% \tikz@collect@label@scan% }% \def\tikz@collect@nodes@group#1{% \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath{#1}}% \tikz@collect@label@scan% }% \def\tikz@collect@animation#1=#2{% \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath#1={#2}}% \tikz@collect@label@scan% }% \def\tikz@collect@paran#1){% \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath#1)}% \tikz@collect@label@scan% }% \def\tikz@collect@options#1]{% \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath#1]}% \tikz@collect@label@scan% }% \def\tikz@collect@arg#1{% \iftikz@handle@active@nodes% \iftikz@collect@pic% \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath{#1}}% \else% \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath{\scantokens{#1}}}% \fi% \else% \expandafter\def\expandafter\tikz@collected@onpath\expandafter{\tikz@collected@onpath{#1}}% \fi% \tikz@collect@cont% }% \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% }% % % Macros for the cycle command % \def\tikz@cycle@expander#1{\pgfutil@ifnextchar c{\tikz@cycle@expander@{#1}}{#1}}% \def\tikz@cycle@expander@#1c{\pgfutil@ifnextchar y{\tikz@cycle@expander@add{#1}}{#1c}}% \def\tikz@cycle@expander@add#1ycle{#1(current subpath start)--cycle}% % Syntax for lineto: % -- \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{\tikz@lineto@plot@or@pic}{\tikz@scan@one@point{\tikz@@lineto}}}}}% \def\tikz@lineto@plot@or@pic p{% \pgfutil@ifnextchar i{\tikz@collect@pic@onpath\tikz@lineto@mid p}{% \pgfsetlinetofirstplotpoint\tikz@plot}% }% \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% \let\tikz@tangent\tikz@timer@start% \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: % -| \def\tikz@hv@lineto{% \pgfutil@ifnextchar n{\tikz@collect@label@onpath\tikz@hv@lineto}{% \pgfutil@ifnextchar p{\tikz@collect@pic@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}% \edef\tikz@tangent{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\pgf@yc}}% \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: % |- \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 p{\tikz@collect@pic@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}% \edef\tikz@tangent{\noexpand\pgfqpoint{\the\pgf@xc}{\the\tikz@lasty}}% \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% \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}} \tikz@make@last@position{\expandafter\pgfpoint\pgfsyssoftpath@lastmoveto}% \tikz@path@close{\expandafter\pgfpoint\pgfsyssoftpath@lastmoveto}% \def\pgfstrokehook{}% \edef\tikz@timer@end{%\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}% \noexpand\pgfqpoint{\the\tikz@lastmovetox}{\the\tikz@lastmovetoy}}% \let\tikz@timer=\tikz@timer@line% \let\tikz@tangent\tikz@timer@start% \tikz@scan@next@command% }% % Syntax for options: % [options] \def\tikz@parse@options#1]{% \tikzset{#1}% \tikz@scan@next@command% }% % Syntax for edges: % edge [options] (coordinate) % edge [options] node {node text} (coordinate) % edge :attribute={...} [options] node {node text} (coordinate) \def\tikz@edge@plain{% \begingroup% \ifx\tikz@to@use@whom\pgfutil@undefined\else\tikz@to@use@whom\fi \let\tikz@to@or@edge@function=\tikz@do@edge% \let\tikz@@to@local@options\pgfutil@empty% \let\tikz@collected@onpath=\pgfutil@empty% \tikz@to@or@edge}% % Syntax for to paths: % to [options] (coordinate) % to [options] node {node text} (coordinate) % to :attribute={...} [options] node {node text} (coordinate) \def\tikz@to o{% \tikz@to@use@last@coordinate% \let\tikz@to@or@edge@function=\tikz@do@to% \let\tikz@@to@local@options\pgfutil@empty% \let\tikz@collected@onpath=\pgfutil@empty% \tikz@to@or@edge}% \def\tikz@to@or@edge{% \pgfutil@ifnextchar[{\tikz@to@or@edge@option}{% \pgfutil@ifnextchar:{\tikz@to@or@edge@animation}{% \tikz@@to@collect}}%] }% \def\tikz@to@or@edge@option[#1]{% \expandafter\def\expandafter\tikz@@to@local@options\expandafter{\tikz@@to@local@options,#1}% \tikz@to@or@edge% }% \def\tikz@to@or@edge@animation:#1=#2{% \expandafter\def\expandafter\tikz@@to@local@options\expandafter{\tikz@@to@local@options,% animate={myself:{#1}={#2}}}% \tikz@to@or@edge% }% \def\tikz@@to@collect{% \pgfutil@ifnextchar(\tikz@@to@or@edge@coordinate%) {\pgfutil@ifnextchar n{\tikz@collect@label@onpath\tikz@@to@collect}% {\pgfutil@ifnextchar p{\tikz@collect@pic@onpath\tikz@@to@collect}% {\pgfutil@ifnextchar c{\tikz@collect@coordinate@onpath\tikz@@to@collect}% {\pgfutil@ifnextchar +{\tikz@scan@one@point\tikz@@to@or@edge@math}% {\tikzerror{(, +, coordinate, pic, or node 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}% \iftikz@updatecurrent\else \tikz@updatenextfalse \fi \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{% \ifx\tikz@edge@macro\pgfutil@empty% \setbox\tikz@whichbox=\hbox\bgroup% \unhbox\tikz@whichbox% \hbox\bgroup \bgroup% \pgfinterruptpath% \pgfscope% \let\tikz@transform=\pgfutil@empty% \let\tikz@options=\pgfutil@empty% \tikz@clear@rdf@options% \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@do@rdf@pre@options% \pgfidscope% \tikz@do@rdf@post@options% \tikz@transform% \let\tikz@transform=\relax% % Typeset node: \let\tikz@after@path\pgfutil@empty% \tikz@atbegin@to% \tikz@enable@edge@quotes% \path[style=every edge]\expandafter[\tikz@@to@local@options](\tikztostart)\tikz@to@path \pgfextra{\global\let\tikz@after@path@smuggle=\tikz@after@path};% \tikz@atend@to% \endpgfidscope% \endpgfscope% \endpgfinterruptpath% \egroup \egroup% \egroup% \global\setbox\tikz@tempbox=\box\tikz@whichbox% \expandafter\endgroup% \expandafter\setbox\tikz@whichbox=\box\tikz@tempbox% \else% \expandafter\expandafter\expandafter\tikz@edge@macro% \expandafter\expandafter\expandafter{\expandafter\tikz@@to@local@options\expandafter}\expandafter{\tikz@collected@onpath}% \endgroup% \let\tikz@after@path@smuggle=\pgfutil@empty% \fi% \expandafter\tikz@scan@next@command\tikz@after@path@smuggle% }% \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{\let\tikz@after@path\pgfutil@empty}% \pgfextra{\tikz@atbegin@to}% \pgfextra{\tikz@enable@edge@quotes}% [style=every to]\expandafter[\tikz@@to@local@options]\tikz@to@path% \pgfextra{\tikz@atend@to}% \pgf@stop% \expandafter\tikz@scan@next@command\expandafter% }\tikz@after@path% \pgfextra{\tikz@updatenexttrue\tikz@updatecurrenttrue}% }% \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 graph path command: % graph [options] {...} % See the graph library for details \def\tikz@graph aph{\tikz@lib@graph@parser}% \def\tikz@lib@graph@parser{\pgfutil@ifnextchar[\tikz@graph@error{\tikz@graph@error[]}}%]% \def\tikz@graph@error[#1]#2{% \tikzerror{You need to say \string\usetikzlibrary{graphs} in order to use the graph syntax}% \tikz@lib@graph@parser@done% }% \def\tikz@lib@graph@parser@done{% \tikz@scan@next@command% }% % 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% \def\tikz@edgetoparent@options{#1}% \begingroup% \let\tikz@collected@onpath=\pgfutil@empty% \tikz@edgetoparentcollect% }% \def\tikz@edgetoparentcollect{% \pgfutil@ifnextchar n{\tikz@collect@label@onpath\tikz@edgetoparentcollect}% {% \expandafter% \endgroup% \expandafter\tikz@edgetoparent@rollout\expandafter{\tikz@collected@onpath}% }% }% \def\tikz@edgetoparent@rollout#1{% \pgfkeysgetvalue{/tikz/edge from parent macro}\tikz@etop@temp \expandafter\tikz@scan@next@command\expandafter\tikz@etop@temp\expandafter{\tikz@edgetoparent@options}{#1}% }% % 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 p{\tikz@collect@pic@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@lastxsaved=\tikz@lastx% \tikz@lastysaved=\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\pgfutil@next=}% \def\tikz@curveCdot.{% \ifx\pgfutil@next.% \else% \tikzerror{Dot expected}% \fi% \iftikz@updatenext \tikz@updatecurrenttrue% \fi \tikz@curveCcheck% }% \def\tikz@curveCcheck{% \pgfutil@ifnextchar n{\tikz@collect@label@onpath\tikz@curveCcheck}{% \pgfutil@ifnextchar p{\tikz@collect@pic@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}}% \tikz@@movetosave{\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% \let\tikz@tangent=\tikz@curve@second% \tikz@scan@next@command% }% % Syntax for rectangles: % rectangle \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 p{\tikz@collect@pic@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% \tikz@@movetosave{\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% \tikz@@movetosave{\pgfqpoint{\tikz@lastx}{\tikz@lasty}}% \def\pgfstrokehook{}% \let\tikz@tangent\relax% \tikz@scan@next@command% }% % Syntax for grids: % grid \def\tikz@grid id{% \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@cycle@expander{\tikz@scan@one@point\tikz@gridB}}% \def\tikz@gridB#1{% \tikz@make@last@position{#1}% \let\tikz@tangent\relax% {% \let\tikz@after@path\pgfutil@empty% \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}}% \expandafter}% \expandafter\tikz@scan@next@command\tikz@after@path% }% % 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]{% \let\tikz@tangent\tikz@tangent@lookup% \begingroup% \let\tikz@after@path\pgfutil@empty% \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}{% \tikzerror{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] [\tikz@plot@xrange] [\tikz@plot@range] #1}}% \else% \def\tikz@plot@data{\pgfplotgnuplot[\tikz@plot@filename]{% set samples \tikz@plot@samples; plot [x=\tikz@plot@domain] \ifx\tikz@plot@range\pgfutil@empty\else[\tikz@plot@range]\fi #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@whichbox=\hbox{% \unhbox\tikz@whichbox% \hbox{{% \pgfinterruptpath% \pgfscope% \let\tikz@options=\pgfutil@empty% \let\tikz@transform=\pgfutil@empty% \tikzset{every mark}% \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=\box\tikz@whichbox% \global\let\tikz@after@path@smuggle=\tikz@after@path \expandafter\endgroup% \expandafter\setbox\tikz@whichbox=\box\tikz@tempbox% \tikz@make@last@position{\tikz@@@temp}% \expandafter\tikz@scan@next@command\tikz@after@path@smuggle% }% \pgfdeclareplotmark{ball} {% \def\tikz@shading{ball}% \shade (0pt,0pt) circle (\pgfplotmarksize);% }% % Syntax for cosine curves: % cos \def\tikz@cosine s{\tikz@cycle@expander{\tikz@scan@one@point\tikz@@cosine}} \def\tikz@@cosine#1{% \let\tikz@tangent\tikz@tangent@lookup% \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 \def\tikz@sine in{\tikz@cycle@expander{\tikz@scan@one@point\tikz@@sine}} \def\tikz@@sine#1{% \let\tikz@tangent\tikz@tangent@lookup% \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 \def\tikz@parabola arabola{% \let\tikz@tangent\tikz@tangent@lookup% \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@cycle@expander{\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@cycle@expander{\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: \let\tikz@after@path\pgfutil@empty% \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}}}% \expandafter\endgroup% \expandafter\expandafter\expandafter\pgfpathparabola\expandafter\tikz@parabola@b% \expandafter\tikz@scan@next@command\tikz@after@path% }% % Syntax for circles: % circle [options] % where options should set, at least, radius % circle (radius) % deprecated % % Syntax for ellipses: % ellipse [options] % identical to circle. % ellipse (x-radius and y-radius) % deprecated % % 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{% \let\tikz@tangent\relax% \pgfutil@ifnextchar(\tikz@@@circle {\pgfutil@ifnextchar[\tikz@circle@opt{%]) \advance\tikz@expandcount by -10\relax% go down quickly \ifnum\tikz@expandcount<0\relax% \let\pgfutil@next=\tikz@@circle@normal% \else% \let\pgfutil@next=\tikz@@circle@scanexpand% \fi% \pgfutil@next% }}% }% \def\tikz@@circle@scanexpand{\expandafter\tikz@@circle}% \def\tikz@@circle@normal{\tikz@circle@opt[]}% \def\tikz@circle@opt[#1]{% {% \def\tikz@node@at{\tikz@last@position}% \let\tikz@transform=\pgfutil@empty% \tikzset{every circle/.try,#1}% \pgftransformshift{\tikz@node@at}% \tikz@transform% \tikz@do@ellipse{\pgfkeysvalueof{/tikz/x radius}}{\pgfkeysvalueof{/tikz/y radius}} }% \tikz@scan@next@command% }% \def\tikz@@@circle(#1){% {% \pgftransformshift{\tikz@last@position}% \pgfutil@in@{ and }{#1}% \ifpgfutil@in@% \tikz@@ellipseB(#1)% \else% \tikz@do@circle{#1}% \fi% }% \tikz@scan@next@command% }% \def\tikz@@ellipseB(#1 and #2){% \tikz@do@ellipse{#1}{#2}% }% \def\tikz@do@circle#1{% \pgfmathparse{#1}% \let\tikz@ellipse@x=\pgfmathresult \ifpgfmathunitsdeclared \pgfpathellipse{\pgfpointorigin}% {\pgfqpoint{\tikz@ellipse@x pt}{0pt}}% {\pgfpoint{0pt}{\tikz@ellipse@x pt}}% \else \pgfpathellipse{\pgfpointorigin}% {\pgfpointxy{\tikz@ellipse@x}{0}}% {\pgfpointxy{0}{\tikz@ellipse@x}}% \fi } \def\tikz@do@ellipse#1#2{ \pgfmathparse{#1}% \let\tikz@ellipse@x=\pgfmathresult% \ifpgfmathunitsdeclared% \pgfmathparse{#2}% \let\tikz@ellipse@y=\pgfmathresult% \ifpgfmathunitsdeclared% \pgfpathellipse{\pgfpointorigin}{% \pgfqpoint{\tikz@ellipse@x pt}{0pt}}{\pgfpoint{0pt}{\tikz@ellipse@y pt}}% \else% \tikzerror{You cannot mix dimensions and dimensionless values in an ellipse}% \fi% \else% \pgfmathparse{#2}% \let\tikz@ellipse@y=\pgfmathresult% \ifpgfmathunitsdeclared% \tikzerror{You cannot mix dimensions and dimensionless values in an ellipse}% \else% \pgfpathellipse{\pgfpointorigin}{% \pgfpointxy{\tikz@ellipse@x}{0}}{\pgfpointxy{0}{\tikz@ellipse@y}}% \fi% \fi% }% % Syntax for arcs: % arc [options] % % (The syntax with parentheses is deprecated.) \def\tikz@arcA rc{\tikz@flush@moveto\tikz@arc@cont}% \def\tikz@arc@cont{% \pgfutil@ifnextchar(%) {\tikz@@arcto}{% \pgfutil@ifnextchar[%] {\tikz@arc@opt}% {% \advance\tikz@expandcount by -10\relax% go down quickly \ifnum\tikz@expandcount<0\relax% \let\pgfutil@next=\tikz@@arc@normal% \else% \let\pgfutil@next=\tikz@@arc@scanexpand% \fi% \pgfutil@next% }% }% }% \def\tikz@@arc@scanexpand{\expandafter\tikz@arc@cont}% \def\tikz@@arc@normal{\tikz@arc@opt[]}% \def\tikz@arc@opt[#1]{% {% \tikzset{every arc/.try,#1}% \pgfkeysgetvalue{/tikz/start angle}\tikz@s \pgfkeysgetvalue{/tikz/end angle}\tikz@e \pgfkeysgetvalue{/tikz/delta angle}\tikz@d \ifx\tikz@s\pgfutil@empty% \pgfmathsetmacro\tikz@s{\tikz@e-\tikz@d} \else \ifx\tikz@e\pgfutil@empty% \pgfmathsetmacro\tikz@e{\tikz@s+\tikz@d} \fi% \fi% \xdef\pgf@marshal{\noexpand% \tikz@do@arc{\tikz@s}{\tikz@e} {\pgfkeysvalueof{/tikz/x radius}} {\pgfkeysvalueof{/tikz/y radius}}}% }% \pgf@marshal% \tikz@arcfinal% }% \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% \tikz@arcfinal% }% \def\tikz@parse@arc@and(#1:#2:#3 and #4){% \tikz@do@arc{#1}{#2}{#3}{#4}% }% \def\tikz@do@arc#1#2#3#4{% \let\tikz@tangent\tikz@tangent@lookup% \edef\tikz@timer@start{\noexpand\pgfqpoint{\the\tikz@lastx}{\the\tikz@lasty}}% \pgfmathsetmacro\tikz@timer@start@angle{#1}% \pgfmathsetmacro\tikz@timer@end@angle{#2}% \pgfmathparse{#3}% \let\tikz@arc@x=\pgfmathresult% \ifpgfmathunitsdeclared% \pgfmathparse{#4}% \let\tikz@arc@y=\pgfmathresult% \ifpgfmathunitsdeclared% \tikz@@@arcfinal{\pgfpatharc{\tikz@timer@start@angle}{\tikz@timer@end@angle}{\tikz@arc@x pt and \tikz@arc@y pt}} {\pgfpointpolar{\tikz@timer@start@angle}{\tikz@arc@x pt and \tikz@arc@y pt}} {\pgfpointpolar{\tikz@timer@end@angle}{\tikz@arc@x pt and \tikz@arc@y pt}}% \edef\tikz@timer@zero@axis{\noexpand\pgfqpoint{\tikz@arc@x pt}{0pt}} \edef\tikz@timer@ninety@axis{\noexpand\pgfqpoint{0pt}{\tikz@arc@y pt}} \else% \tikzerror{You cannot mix dimensions and dimensionless values in an arc}% \fi% \else% \pgfmathparse{#4}% \let\tikz@arc@y=\pgfmathresult% \ifpgfmathunitsdeclared% \tikzerror{You cannot mix dimensions and dimensionless values in an arc}% \else% \tikz@@@arcfinal{\pgfpatharcaxes{\tikz@timer@start@angle}{\tikz@timer@end@angle}{\pgfpointxy{\tikz@arc@x}{0}}{\pgfpointxy{0}{\tikz@arc@y}}} {\pgfpointpolarxy{\tikz@timer@start@angle}{\tikz@arc@x and \tikz@arc@y}}{\pgfpointpolarxy{\tikz@timer@end@angle}{\tikz@arc@x and \tikz@arc@y}}% \pgf@process{\pgfpointxy{\tikz@arc@x}{0}} \edef\tikz@timer@zero@axis{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}} \pgf@process{\pgfpointxy{0}{\tikz@arc@y}} \edef\tikz@timer@ninety@axis{\noexpand\pgfqpoint{\the\pgf@x}{\the\pgf@y}} \fi% \fi% }% \def\tikz@@@arcfinal#1#2#3{% #1% \pgf@process{#2} \xdef\tikz@arc@save@first{\pgfqpoint{\the\pgf@x}{\the\pgf@y}}% \pgf@process{#3} \xdef\tikz@arc@save@second{\pgfqpoint{\the\pgf@x}{\the\pgf@y}}% }% \def\tikz@arcfinal{% \pgf@process{\tikz@arc@save@first}% \advance\tikz@lastx by-\pgf@x% \advance\tikz@lasty by-\pgf@y% \pgf@process{\tikz@arc@save@second}% \advance\tikz@lastx by\pgf@x% \advance\tikz@lasty by\pgf@y% \tikz@lastxsaved=\tikz@lastx% \tikz@lastysaved=\tikz@lasty% \let\tikz@timer=\tikz@timer@arc% \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)a{% \pgfutil@ifnextchar t{\tikz@@coordinate@@at[#1](#2)a}% {\tikz@fig ode[shape=coordinate,#1](#2){}a}% }% \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 foreach \var in {list} ... :attribute={...} [options] (node name) at (pos) {label text} % % all of :attribute, [options], (node name), at(pos), and foreach are % optional. There can be multiple options and the ordering is not % important as in node[draw] (a) [rotate=10] {text}, *except* that all % foreach statements must come first. % % A label text always ``ends'' the node. % \def\tikz@fig ode{% \pgfutil@ifnextchar a\tikz@test@also{% \pgfutil@ifnextchar f{\tikz@nodes@start}\tikz@normal@fig}}% \def\tikz@test@also a{\pgfutil@ifnextchar l\tikz@node@also{\tikz@normal@fig a}}% \def\tikz@normal@fig{% \edef\tikz@save@line@width{\the\pgflinewidth}% \begingroup% \let\tikz@fig@name=\pgfutil@empty% \begingroup% \tikz@is@matrixfalse% \let\nodepart=\tikz@nodepart% \let\tikz@atbegin@scope=\pgfutil@empty% \let\tikz@atend@scope=\pgfutil@empty% \let\tikz@do@after@node=\tikz@scan@next@command% \let\tikz@options=\pgfutil@empty% \tikz@clear@rdf@options% \let\tikz@id@name=\pgfutil@empty% \let\tikz@after@path=\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}}% \let\tikz@time@for@matrix\tikz@time% \let\tikz@node@content\relax% \pgfgetpath\tikzpathuptonow% \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:{\tikz@fig@scan@animation}% {\pgfutil@ifnextchar\bgroup{\tikz@fig@main}% {\tikzerror{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){% \pgfkeysvalueof{/tikz/name/.@cmd}#1\pgfeov% CF : this is now ALWAYS consistent with 'name=' option; allows overrides. \tikz@@scan@fig}% % make it \long to allow \par in "pin" options etc: \long\def\tikz@fig@scan@options[#1]{\iftikz@node@is@pic\tikz@enable@pic@quotes\else\tikz@enable@node@quotes\fi\tikzset{#1}\ifx\tikz@node@content\relax\expandafter\tikz@@scan@fig\else\tikz@expand@node@contents\fi}% \def\tikz@fig@scan@animation:#1=#2{\tikzset{animate={myself:{#1}={#2}}}\tikz@@scan@fig}% \def\tikz@expand@node@contents{% \expandafter\tikz@@scan@fig\expandafter{\tikz@node@content}% }% \let\tikz@node@reset@hook=\pgfutil@empty% \let\tikz@node@begin@hook=\pgfutil@empty% \def\tikz@fig@main{% \iftikz@node@is@pic% \tikz@node@is@picfalse% \expandafter\tikz@subpicture@handle% \else% \afterassignment\tikz@@fig@main\expandafter\let\expandafter\next\expandafter=% \fi}% \def\tikz@@fig@main{% \pgfutil@ifundefined{pgf@sh@s@\tikz@shape}% {\tikzerror{Unknown shape ``\tikz@shape.'' Using ``rectangle'' instead}% \def\tikz@shape{rectangle}}% {}% \expandafter\xdef\csname tikz@dcl@coord@\tikz@fig@name\endcsname{% \csname tikz@scan@point@coordinate\endcsname}% \tikzset{every \tikz@shape\space node/.try}% \tikz@node@textfont% \tikz@node@begin@hook% \iftikz@is@matrix% \let\tikz@next=\tikz@do@matrix% \else% \let\tikz@next=\tikz@do@fig% \fi% \tikz@next% }% \let\tikz@nodepart@list\pgfutil@empty \def\tikz@do@fig{% % Ok, reset all node part boxes \pgfutil@for\tikz@temp:=\tikz@nodepart@list\do{% \expandafter\setbox\csname pgfnodepart\tikz@temp box\endcsname=\box\pgfutil@voidb@x% }% \setbox\pgfnodeparttextbox=\hbox% \bgroup% \pgfinterruptpicture% \pgfsys@begin@text% \pgfsys@text@to@black@hook% \tikzset{every text node part/.try}% \ifx\tikz@textopacity\pgfutil@empty% \else% \pgfsetfillopacity{\tikz@textopacity}% \pgfsetstrokeopacity{\tikz@textopacity}% \fi% \ifx\tikz@text@width\pgfutil@empty% \tikz@textfont% \else% \begingroup% \pgfmathsetlength{\pgf@x}{\tikz@text@width}% \pgfutil@minipage[t]{\pgf@x}\leavevmode\hbox{}% \tikz@textfont% \tikz@text@action% \fi% \tikz@atbegin@node% \bgroup% \aftergroup\unskip% % Some color stuff has been moved from here to outside; this is % necessary for support of dvisvgm and of animation % snapshots. \ifx\tikz@textcolor\pgfutil@empty% \else% \pgfutil@colorlet{.}{\tikz@textcolor}% \pgfutil@color{\tikz@textcolor}% \fi% \setbox\tikz@figbox=\box\pgfutil@voidb@x% \setbox\tikz@figbox@bg=\box\pgfutil@voidb@x% \tikz@uninstallcommands% \iftikz@handle@active@code% \tikz@orig@shorthands% \let\tikz@orig@shorthands\pgfutil@empty% \fi% \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% \aftergroup\tikz@fig@collectresetcolor% \tikz@signal@halign@check% \tikz@text@reset% \tikz@halign@check% \ignorespaces% }% \def\tikz@fig@collectresetcolor{% % Hacks for special packages that mess with \aftergroup \pgfutil@ifnextchar\reset@color% hack for color package {\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% \pgfsys@end@text% \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@path\pgfutil@empty\expandafter\tikz@fig@continue\else\expandafter\tikz@fig@mustbenamed\expandafter\tikz@fig@continue\fi}}}}}%}% \tikzset{ matrix/inner style/every cell/.code={% \tikzset{every cell/.try={\the\pgfmatrixcurrentrow}{\the\pgfmatrixcurrentcolumn}}% }, matrix/inner style/column/.code={% \tikzset{column \the\pgfmatrixcurrentcolumn/.try}% }, matrix/inner style/even odd column/.code={ \ifodd\pgfmatrixcurrentcolumn% \tikzset{every odd column/.try}% \else% \tikzset{every even column/.try}% \fi }, matrix/inner style/row/.code={% \tikzset{row \the\pgfmatrixcurrentrow/.try}% }, matrix/inner style/even odd row/.code={% \ifodd\pgfmatrixcurrentrow% \tikzset{every odd row/.try}% \else% \tikzset{every even row/.try}% \fi }, matrix/inner style/cell/.code={% \tikzset{row \the\pgfmatrixcurrentrow\space column \the\pgfmatrixcurrentcolumn/.try}% }, matrix/inner style order/.store in=\tikz@common@matrix@code@styleorder, matrix/inner style order={ every cell, column, even odd column, row, even odd row, cell }, }% \def\tikz@do@matrix{% \tikzset{every matrix/.try}% \tikz@node@transformations% \tikz@fig@mustbenamed% \setbox\tikz@whichbox=\hbox\bgroup% \unhbox\tikz@whichbox% \hbox\bgroup\bgroup% \pgfinterruptpath% \pgfscope% \ifx\tikz@time\pgfutil@empty\let\tikz@time\tikz@time@for@matrix\fi% \tikz@options% \tikz@do@rdf@pre@options% \tikz@is@nodefalse% \tikz@call@id@hook% \pgfidscope% \tikz@do@rdf@post@options% \begingroup% \let\tikz@id@name\pgfutil@empty% \pgfclearid% \setbox\tikz@figbox=\box\pgfutil@voidb@x% \setbox\tikz@figbox@bg=\box\pgfutil@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% \pgfmatrixbeforeassemblenode{\tikzset{every outer matrix/.try}}% \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% \pgfutil@for\pgf@temp:=\tikz@common@matrix@code@styleorder\do{% \toks0=\expandafter{\romannumeral-`0\expandafter\pgfutil@trimspaces\expandafter{\pgf@temp}}% \def\pgf@marshal{}% \pgfutil@ifempty\pgf@temp{}{% \edef\pgf@marshal{\noexpand\tikzset{matrix/inner style/.cd,\the\toks0}}% }% \pgf@marshal }% \tikz@options% }% \def\pgfmatrixendcode{% \tikz@atend@cell% \pgfsys@endscope% }% \def\pgfmatrixemptycode{% \pgfsys@beginscope% \tikz@common@matrix@code% \tikz@at@emptycell% \pgfsys@endscope% }% \tikz@atbegin@matrix% \aftergroup\tikz@do@matrix@cont}% \bgroup% }% \def\tikz@do@matrix@cont{% \tikz@atend@matrix% \endgroup% \endpgfidscope% \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% \tikz@nlt% % \setbox\tikz@whichbox=\hbox{% \unhbox\tikz@whichbox% \hbox{{% \pgfinterruptpath% \pgfscope% \tikz@options% \tikz@do@rdf@pre@options% \tikz@is@nodetrue% \tikz@call@id@hook% \pgfidscope% \tikz@do@rdf@post@options% \let\tikz@id@name\pgfutil@empty% \setbox\tikz@figbox=\box\pgfutil@voidb@x% \setbox\tikz@figbox@bg=\box\pgfutil@voidb@x% % Add color modifications to text box \setbox\pgfnodeparttextbox=\hbox{{% \pgfsys@begin@text% Colors moved here... \ifx\tikz@textcolor\pgfutil@empty% \else% \pgfutil@colorlet{.}{\tikz@textcolor}% \fi% \pgfsetcolor{.}% \pgfusetype{.text}% \pgfidscope% \box\pgfnodeparttextbox% \endpgfidscope% \pgfsys@end@text% }}% \pgfmultipartnode{\tikz@shape}{\tikz@anchor}{\tikz@fig@name}{% \pgfutil@tempdima=\pgflinewidth% {\begingroup\tikz@finish}% \global\pgflinewidth=\pgfutil@tempdima% }% \endpgfidscope% \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}% \let\tikz@id@name\tikz@fig@name% \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@path@smuggle=\tikz@after@path% % shift box outside group \global\setbox\tikz@tempbox=\box\tikz@figbox% \global\setbox\tikz@tempbox@bg=\box\tikz@figbox@bg% \endgroup\endgroup% \setbox\tikz@figbox=\box\tikz@tempbox% \setbox\tikz@figbox@bg=\box\tikz@tempbox@bg% \global\pgflinewidth=\tikz@save@line@width% \tikz@do@after@path@smuggle% \tikz@node@is@picfalse \tikz@do@after@node% }% \let\tikz@fig@continue@orig=\tikz@fig@continue \def\tikz@do@after@node{\tikz@scan@next@command}% \def\tikz@do@after@path@smuggle{% \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@path@smuggle\pgfutil@empty% \else% \ifpgflatenodepositioning% \expandafter\expandafter\expandafter\tikz@call@late% \expandafter\expandafter\expandafter{\expandafter\tikz@last@fig@name\expandafter}\expandafter{\tikz@after@path@smuggle}% \else% \tikz@scan@next@command{\tikz@after@path@smuggle}\pgf@stop% \fi% \fi% }% \def\tikz@call@late#1#2{\pgfnodepostsetupcode{#1}{\path[late options={name={#1},append after command={#2}}];}}% \newif\iftikz@do@align % Alignment handling \def\tikz@signal@halign@check{% \tikz@do@alignfalse \ifx\tikz@text@width\pgfutil@empty% \pgfkeysgetvalue{/tikz/node halign header}\tikz@align@header% \ifx\tikz@align@header\pgfutil@empty% \else% \tikz@do@aligntrue% \fi% \fi% } \def\tikz@halign@check{% \iftikz@do@align% % Bingo \setbox\tikz@align@aligned@box=\box\pgfutil@voidb@x% void \let\\=\tikz@align@newline% \expandafter\tikz@start@align% \fi% }% \def\tikz@align@newline{\pgfutil@protect\tikz@align@newline@}% \def\tikz@align@newline@{\unskip\pgfutil@ifnextchar[\tikz@@align@newline{\tikz@@align@newline[0pt]}}%}% \def\tikz@@align@newline[#1]{\egroup\tikz@align@continue\pgfmathparse{#1}\let\tikz@align@temp=\pgfmathresult\tikz@start@align}% % Two safe boxes for alignment: \let\tikz@align@aligned@box=\pgfnodeparttextbox \let\tikz@align@line@box=\tikz@figbox \def\tikz@start@align{% % Start collecting text: \setbox\tikz@align@line@box=\hbox\bgroup\bgroup% \aftergroup\tikz@align@collectresetcolor\ignorespaces% }% \def\tikz@align@collectresetcolor{% \pgfutil@ifnextchar\reset@color% {\reset@color\afterassignment\tikz@align@collectresetcolor\let\tikz@temp=}% {\tikz@align@end@check}% }% \def\tikz@align@end@check{% \egroup% \ifvoid\tikz@align@aligned@box% \setbox\tikz@align@aligned@box=\box\tikz@align@line@box% \else% \setbox\tikz@align@aligned@box=\vbox{% \expandafter\expandafter\expandafter\halign\expandafter\expandafter\expandafter{\tikz@align@header% \box\tikz@align@aligned@box\cr% \noalign{\vskip\tikz@align@temp pt}% \unhbox\tikz@align@line@box\unskip\cr}}% \fi% \pgfutil@ifnextchar\tikz@align@continue{} {% % Main continue \box\tikz@align@aligned@box% \egroup% }% }% \def\tikz@align@continue{\tikz@@align@continue}% \let\tikz@@align@continue=\pgfutil@empty \def\tikz@node@also lso{\pgfutil@ifnextchar[\tikz@node@also@opt{\tikz@node@also@opt[]}}% \def\tikz@node@also@opt[#1]{ \pgfutil@ifnextchar(%) {\tikz@node@also@opt@cont[#1]}% {\tikzerror{Syntax error in node also: ``('' expected.}% \tikz@scan@next@command}% }% \def\tikz@node@also@opt@cont[#1](#2){\tikzset{late options={name=#2,#1}}\tikz@scan@next@command}% % Syntax for parts of nodes: % node ... {... \nodepart[options]{name} ... \nodepart{name} ...} \def\tikz@nodepart{\pgfutil@ifnextchar[\tikz@@nodepart{\tikz@@nodepart[]}}%}% \def\tikz@@nodepart[#1]#2{% \tikz@atend@node% \unskip% \gdef\tikz@nodepart@options{#1}% \gdef\tikz@nodepart@name{#2}% \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% \ifx\tikz@nodepart@list\pgfutil@empty% \let\tikz@nodepart@list\tikz@nodepart@name% \else% \edef\tikz@nodepart@list{\tikz@nodepart@list,\tikz@nodepart@name}% \fi% % Now start new box: \expandafter\setbox\csname pgfnodepart\tikz@nodepart@name box\endcsname=\hbox% \bgroup% \pgfinterruptpicture% \pgfsys@begin@text% \pgfsys@text@to@black@hook% \tikzset{every \tikz@nodepart@name\space node part/.try}% \expandafter\tikzset\expandafter{\tikz@nodepart@options}% \ifx\tikz@textopacity\pgfutil@empty% \else% \pgfsetfillopacity{\tikz@textopacity}% \pgfsetstrokeopacity{\tikz@textopacity}% \fi% % Colors moved here... \ifx\tikz@textcolor\pgfutil@empty% \else% \pgfutil@colorlet{.}{\tikz@textcolor}% \fi% \pgfsetcolor{.}% \ifx\tikz@text@width\pgfutil@empty% \tikz@textfont% \else% \begingroup% \pgfmathsetlength{\pgf@x}{\tikz@text@width}% \pgfutil@minipage[t]{\pgf@x}\leavevmode\hbox{}% \tikz@textfont% \tikz@text@action% \fi% \bgroup% \aftergroup\unskip% \setbox\tikz@figbox=\box\pgfutil@voidb@x% \setbox\tikz@figbox@bg=\box\pgfutil@voidb@x% \tikz@uninstallcommands% \iftikz@handle@active@code% \tikz@orig@shorthands% \let\tikz@orig@shorthands\pgfutil@empty% \fi% \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% \tikz@atbegin@node% \aftergroup\tikz@fig@collectresetcolor% \tikz@signal@halign@check% \tikz@text@reset% \tikz@halign@check% \ignorespaces% }% % % Node foreach % \def\tikz@nodes@start{% \let\tikz@nodes@list\pgfutil@empty% \iftikz@node@is@pic% \def\tikz@nodes@collect{pic }% \else% \def\tikz@nodes@collect{node }% \fi% \tikz@nodes% }% \def\tikz@nodes foreach{\pgfutil@ifnextchar x\tikz@nodes@\tikz@nodes@}% get rid of spaces \def\tikz@nodes@#1in{% \expandafter\def\expandafter\tikz@nodes@list\expandafter{\tikz@nodes@list\foreach#1in}% \pgfutil@ifnextchar\bgroup\tikz@nodes@group\tikz@nodes@one% }% \def\tikz@nodes@one#1{% \expandafter\def\expandafter\tikz@nodes@list\expandafter{\tikz@nodes@list#1}% \pgfutil@ifnextchar f\tikz@nodes\tikz@nodes@scan% }% \def\tikz@nodes@group#1{% \expandafter\def\expandafter\tikz@nodes@list\expandafter{\tikz@nodes@list{#1}}% \pgfutil@ifnextchar f\tikz@nodes\tikz@nodes@scan% }% \def\tikz@nodes@scan{% \pgfutil@ifnextchar a{\tikz@nodes@at}% {\pgfutil@ifnextchar({\tikz@nodes@name}% {\pgfutil@ifnextchar[{\tikz@nodes@opt}% {\pgfutil@ifnextchar\bgroup{\tikz@nodes@main}% {\tikzerror{Nodes must have a (possibly empty) label text}% \tikz@fig@main{}}}}}}%}}% % Look ahead whether the next character is a (. If that is the case, we scan % until ), otherwise we grab a single token and append. \def\tikz@nodes@at at{\pgfutil@ifnextchar({\tikz@nodes@at@}{\tikz@nodes@at@@}}% \def\tikz@nodes@at@#1){% \expandafter\def\expandafter\tikz@nodes@collect\expandafter{\tikz@nodes@collect at#1)}% \tikz@nodes@scan}% \def\tikz@nodes@at@@#1{% \expandafter\def\expandafter\tikz@nodes@collect\expandafter{\tikz@nodes@collect at#1}% \tikz@nodes@scan}% \def\tikz@nodes@name#1){% \expandafter\def\expandafter\tikz@nodes@collect\expandafter{\tikz@nodes@collect#1)}% \tikz@nodes@scan}% \def\tikz@nodes@opt#1]{% \expandafter\def\expandafter\tikz@nodes@collect\expandafter{\tikz@nodes@collect#1]}% \tikz@nodes@scan}% \def\tikz@nodes@main#1{% \iftikz@handle@active@nodes% \iftikz@node@is@pic% \expandafter\def\expandafter\tikz@nodes@collect\expandafter{\tikz@nodes@collect{#1}}% \else% \expandafter\def\expandafter\tikz@nodes@collect\expandafter{\tikz@nodes@collect{\scantokens{#1}}}% \fi% \else% \expandafter\def\expandafter\tikz@nodes@collect\expandafter{\tikz@nodes@collect{#1}}% \fi% % Ok, got everything. % Now, start building parse text. \global\setbox\tikz@tempbox=\box\tikz@figbox% \global\setbox\tikz@tempbox@bg=\box\tikz@figbox@bg% \tikz@nodes@list{% \setbox\tikz@figbox=\box\tikz@tempbox% \setbox\tikz@figbox@bg=\box\tikz@tempbox@bg% \expandafter\tikz@scan@next@command\tikz@nodes@collect\pgfextra\relax% \global\setbox\tikz@tempbox=\box\tikz@figbox% \global\setbox\tikz@tempbox@bg=\box\tikz@figbox@bg% }% \setbox\tikz@figbox=\box\tikz@tempbox% \setbox\tikz@figbox@bg=\box\tikz@tempbox@bg% \tikz@scan@next@command% }% % % "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% \tikz@clear@rdf@options% \let\tikz@after@path=\pgfutil@empty% \let\tikz@afternodepathoptions=\pgfutil@empty% \let\tikz@alias=\pgfutil@empty% \let\tikz@transform=\pgfutil@empty% \tikz@decoratepathfalse% \tikz@node@reset@hook% \tikz@enable@node@quotes% \tikzset{every node/.try,#1}% \ifx\tikz@fig@name\pgfutil@empty% \tikzerror{Late options must reference some existing node}% \fi% \tikz@node@begin@hook% \tikz@alias% \tikzgdlatenodeoptionacallback{\tikz@fig@name}% \global\let\tikz@last@fig@name=\tikz@fig@name% \global\let\tikz@after@path@smuggle=\tikz@after@path% \endgroup% \tikz@do@after@path@smuggle% }% % Auto placement \def\tikz@auto@pre{% \begingroup \pgfresetnontranslationattimefalse \ifpgfslopedattime \pgfslopedattimefalse% \else \pgfslopedattimetrue% \fi \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% }% % % Callbacks: Please see the documentation of the graph drawing % lib for info on these callbacks % \def\tikzgdeventcallback#1#2{}% \def\tikzgdeventgroupcallback#1{}% \def\tikzgdlatenodeoptionacallback#1{}% % 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% \tikzgdeventgroupcallback{descendants}% \let\tikz@options=\pgfutil@empty% \tikz@clear@rdf@options% \let\tikz@transform=\pgfutil@empty% \tikzset{level/.try=\the\tikztreelevel,level \the\tikztreelevel/.try}% \tikz@transform% \let\tikz@transform=\relax% \let\tikzparentnode=\tikz@last@fig@name% \ifx\tikz@grow\relax\else% % Transform to center of node \pgftransformshift{\pgfpointanchor{\tikzparentnode}{\tikz@growth@anchor}}% \fi% \tikznumberofcurrentchild=0\relax% \tikz@children@list% \global\setbox\tikz@tempbox=\box\tikz@figbox% \global\setbox\tikz@tempbox@bg=\box\tikz@figbox@bg% \endgroup% \setbox\tikz@figbox=\box\tikz@tempbox% \setbox\tikz@figbox@bg=\box\tikz@tempbox@bg% \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% \setbox\tikz@tempbox@bg=\box\tikz@figbox@bg% \foreach#2in{#3}{% \tikznumberofcurrentchild=\c@pgf@counta\relax% \setbox\tikz@figbox=\box\tikz@tempbox% \setbox\tikz@figbox@bg=\box\tikz@tempbox@bg% \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% \global\setbox\tikz@tempbox@bg=\box\tikz@figbox@bg% }% \tikznumberofcurrentchild=\c@pgf@counta\relax% \setbox\tikz@figbox=\box\tikz@tempbox% \setbox\tikz@figbox@bg=\box\tikz@tempbox@bg% }% % 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% \tikzgdeventcallback{node}{}% \else% \setbox\tikz@whichbox=\hbox\bgroup% \unhbox\tikz@whichbox% \hbox\bgroup\bgroup% \pgfinterruptpath% \pgfscope% \let\tikz@transform=\pgfutil@empty% \tikzset{every child/.try,#1}% \tikz@options% \tikz@transform% \let\tikz@transform=\relax% \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 \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}% {\pgfutil@ifnextchar\pgf@stop\tikz@parse@child@node@rest\tikz@parse@child@node@expand}}}% \def\tikz@parse@child@node@expand{% \advance\tikz@expandcount by-1\relax% \ifnum\tikz@expandcount<0\relax% \expandafter\tikz@parse@child@node@rest% \else% \expandafter\expandafter\expandafter\tikz@parse@child@node% \fi% }% \def\tikz@parse@child@node@rest#1\pgf@stop{\tikz@expandcount=100\relax\def\tikz@child@node@rest{#1}}% \def\tikz@parse@child@node@c c{\tikz@expandcount=100\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{\tikz@expandcount=100% \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} {\tikzerror{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{% \iftikz@handle@active@nodes% \expandafter\def\expandafter\tikz@child@node@text\expandafter{\tikz@child@node@text{\scantokens{#1}}}% \else% \expandafter\def\expandafter\tikz@child@node@text\expandafter{\tikz@child@node@text{#1}} \fi% \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{\tikzerror{You need to load a decoration library}}% % The decorate path command: \def\tikz@lib@dec@decorate@path{\tikzerror{You need to load a decoration library}}% % % Syntax for let : % % let \p1 = (coordinate), \p2 = (coordinate),... in % \def\tikz@let@command et#1in{% \tikzerror{You need to say \string\usetikzlibrary{calc} to use the let command}% \tikz@scan@next@command% }% % % Syntax for pictures: % % as for nodes, but with "pic" instead of "node" % \newif\iftikz@node@is@pic \def\tikz@subpicture ic{\tikz@node@is@pictrue\tikz@scan@next@command node}% \def\tikz@subpicture@handle#1{% \pgfkeys@spdef\tikz@temp{#1}% \expandafter\tikz@subpicture@handle@\expandafter{\tikz@temp}% }% \def\tikz@subpicture@handle@#1{ \pgfkeys{/tikz/pics/.cd,#1}% \tikz@node@transformations% \let\tikz@transform=\relax% \let\tikz@picmode\tikz@mode% \tikzset{name prefix ../.style/.expanded={/tikz/name prefix=\pgfkeysvalueof{/tikz/name prefix}}}% \ifx\tikz@fig@name\pgfutil@empty\else% \tikzset{name prefix/.expanded=\tikz@fig@name}% \fi% \pgfkeysvalueof{/tikz/pics/setup code}% \pgfkeysgetvalue{/tikz/pics/code}{\tikz@pic@code} \ifx\tikz@pic@code\pgfutil@empty\else% \setbox\tikz@whichbox=\hbox\bgroup% \unhbox\tikz@whichbox% \hbox\bgroup \bgroup% \pgfinterruptpath% \pgfscope% \tikz@options% \setbox\tikz@figbox=\box\pgfutil@voidb@x% \setbox\tikz@figbox@bg=\box\pgfutil@voidb@x% \tikz@atbegin@scope% \scope[every pic/.try]% \tikz@pic@code% \endscope% \tikz@atend@scope% \endpgfscope% \endpgfinterruptpath% \egroup \egroup% \egroup% \fi% \pgfkeysgetvalue{/tikz/pics/foreground code}{\tikz@pic@code} \ifx\tikz@pic@code\pgfutil@empty\else% \setbox\tikz@figbox=\hbox\bgroup% \unhbox\tikz@figbox% \hbox\bgroup \bgroup% \pgfinterruptpath% \pgfscope% \tikz@options% \setbox\tikz@figbox=\box\pgfutil@voidb@x% \setbox\tikz@figbox@bg=\box\pgfutil@voidb@x% \tikz@atbegin@scope% \scope[every front pic/.try]% \tikz@pic@code% \endscope% \tikz@atend@scope% \endpgfscope% \endpgfinterruptpath% \egroup \egroup% \egroup% \fi% \pgfkeysgetvalue{/tikz/pics/background code}{\tikz@pic@code} \ifx\tikz@pic@code\pgfutil@empty\else% \setbox\tikz@figbox@bg=\hbox\bgroup% \unhbox\tikz@figbox@bg% \hbox\bgroup \bgroup% \pgfinterruptpath% \pgfscope% \tikz@options% \setbox\tikz@figbox=\box\pgfutil@voidb@x% \setbox\tikz@figbox@bg=\box\pgfutil@voidb@x% \tikz@atbegin@scope% \scope[every behind pic/.try]% \tikz@pic@code% \endscope% \tikz@atend@scope% \endpgfscope% \endpgfinterruptpath% \egroup \egroup% \egroup% \fi% \tikz@node@finish% }% \tikzset{ pic actions/.code=\tikz@addmode{\tikz@picmode} }% % Setting up the picture codes: \tikzset{ pics/setup code/.initial=, pics/code/.initial=, pics/background code/.initial=, pics/foreground code/.initial= }% % Defining pictures: \def\tikzdeclarepic#1#2{\pgfkeys{/tikz/#1/.cd,#2}}% \pgfkeysdef{/handlers/.pic}{% \edef\pgf@temp{\pgfkeyscurrentpath}% \edef\pgf@temp{\expandafter\tikz@smuggle@pics@in\pgf@temp\pgf@stop}% \expandafter\pgfkeys\expandafter{\pgf@temp/.style={code={#1}}}% }% \def\tikz@smuggle@pics@in/tikz/#1\pgf@stop{/tikz/pics/#1}% % % 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}% }% \def\tikz@timer@arc{% \pgfmathcos@{\tikz@timer@start@angle}% \let\tikz@angle@cos\pgfmathresult% \pgfmathsin@{\tikz@timer@start@angle}% \let\tikz@angle@sin\pgfmathresult% \pgftransformarcaxesattime{\tikz@time}{% \pgfpointdiff{% \pgfpointadd{% \pgfpointscale{\tikz@angle@cos}{\tikz@timer@zero@axis}% }{% \pgfpointscale{\tikz@angle@sin}{\tikz@timer@ninety@axis}% }% }% {\tikz@timer@start}% }% {\tikz@timer@zero@axis}% {\tikz@timer@ninety@axis}% {\tikz@timer@start@angle}{\tikz@timer@end@angle}% }% % % 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 coordinate 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@pp@name{\tikz@cs@node}}% \fi% \pgfpointanchor{\tikz@pp@name{\tikz@cs@node}}{center}% \else% \pgfpointanchor{\tikz@pp@name{\tikz@cs@node}}{\tikz@cs@angle}% \fi% \else% \pgfpointanchor{\tikz@pp@name{\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% \tikzerror{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% \tikzerror{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% \iftikz@updatenext \tikz@updatecurrenttrue% \fi }% \newif\iftikz@updatecurrent \tikz@updatecurrenttrue \newif\iftikz@updatenext \tikz@updatenexttrue % 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\pgfutil@next=\tikz@@scangiveup% \else% \let\pgfutil@next=\tikz@@scanexpand% \fi% \pgfutil@next{#1}% }% }% \def\tikz@@scanexpand#1{\expandafter\tikz@scan@one@point\expandafter#1}% \def\tikz@@scangiveup#1{\tikzerror{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@scan@point@coordinate{(#2)}% \expandafter\tikz@@scan@@no@calculator\expandafter#1\tikz@scan@point@coordinate% }% \def\tikz@@scan@@no@calculator#1(#2){% \pgfutil@in@{cs:}{#2}% \ifpgfutil@in@% \let\pgfutil@next\tikz@parse@coordinatesystem% \else% \pgfutil@in@{intersection }{#2}% \ifpgfutil@in@% \let\pgfutil@next\tikz@parse@intersection% \else% \pgfutil@in@|{#2}% \ifpgfutil@in@ \pgfutil@in@{-|}{#2}% \ifpgfutil@in@ \let\pgfutil@next\tikz@parse@hv% \else% \let\pgfutil@next\tikz@parse@vh% \fi% \else% \pgfutil@in@:{#2}% \ifpgfutil@in@ \let\pgfutil@next\tikz@parse@polar% \else% \pgfutil@in@,{#2}% \ifpgfutil@in@% \let\pgfutil@next\tikz@parse@regular% \else% \let\pgfutil@next\tikz@parse@node% \fi% \fi% \fi% \fi% \fi% \pgfutil@next#1(#2)% }% \def\tikz@parse@calculator#1($#2$){% \tikzerror{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} {\tikzerror{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% \tikzerror{You cannot mix dimension and dimensionless values for polar coordinates} \def\tikz@next{#1{\pgfpointorigin}}% \fi% \else% \tikz@checkunit{#4}% \iftikz@isdimension% \tikzerror{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{% \pgfutil@ifnextchar[{% Uh oh! An array index. \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\pgfutil@next{#1{\pgfpoint{#2}{#3}}}% \else% \def\pgfutil@next{#1{\pgfpointadd{\pgfpoint{#2}{0pt}}{\pgfpointxy{0}{#3}}}}% \fi% \else% \tikz@checkunit{#3}% \iftikz@isdimension% \def\pgfutil@next{#1{\pgfpointadd{\pgfpoint{0pt}{#3}}{\pgfpointxy{#2}{0}}}}% \else% \def\pgfutil@next{#1{\pgfpointxy{#2}{#3}}}% \fi% \fi% \fi% \pgfutil@next% }% \def\tikz@parse@splitxyz#1#2#3,#4,{% \def\pgfutil@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... \ifcsname pgf@sh@ns@\tikz@pp@name{#2}\endcsname \expandafter\ifx\csname pgf@sh@ns@\tikz@pp@name{#2}\endcsname\tikz@coordinate@text% \else \tikz@shapebordertrue% \def\tikz@shapeborder@name{\tikz@pp@name{#2}}% \fi% \else\ifcsname pgf@sh@ns@#2\endcsname \expandafter\ifx\csname pgf@sh@ns@#2\endcsname\tikz@coordinate@text% \else \tikz@shapebordertrue% \def\tikz@shapeborder@name{#2}% \fi% \fi\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{% % Check if a shape with name prefix exists, otherwise try the global name % without prefix. \ifcsname pgf@sh@ns@\tikz@pp@name{#1}\endcsname% \pgfpointanchor{\tikz@pp@name{#1}}{#2}% \else \pgfpointanchor{#1}{#2}% \fi }% \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% }% % % Quote handling % \let\tikz@enable@node@quotes\relax \let\tikz@enable@edge@quotes\relax \let\tikz@enable@pic@quotes\relax % 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. % % If no file tikzlibraryX.code.tex exists, the file % pgflibraryX.code.tex is tried instead. If this file, also, does not % exist, an error message is printed. % % 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\pgfkeys@spdef\expandafter\pgf@temp\expandafter{\pgf@temp}% \ifx\pgf@temp\pgfutil@empty \else \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`\|} \expandafter\edef\csname tikz@library@#1@dollarcode\endcsname{\the\catcode`\$} \catcode`\@=11 \catcode`\|=12 \catcode`\$=3 \pgfutil@InputIfFileExists{tikzlibrary\pgf@temp.code.tex}{}{ \pgfutil@IfFileExists{pgflibrary\pgf@temp.code.tex}{% \expandafter\usepgflibrary\expandafter{\pgf@temp}% }{% \tikzerror{I did not find the tikz library '\pgf@temp'. I looked for files named tikzlibrary\pgf@temp.code.tex and pgflibrary\pgf@temp.code.tex, but neither could be found in the current texmf trees.} }}% \catcode`\@=\csname tikz@library@#1@atcode\endcsname \catcode`\|=\csname tikz@library@#1@barcode\endcsname \catcode`\$=\csname tikz@library@#1@dollarcode\endcsname \fi% \fi }% }% % Always-present libraries: \usetikzlibrary{topaths}% \endinput