%% %% Package: spectralsequences v1.3.3 2023-01-28 %% Author: Hood Chatham %% Email: hood@mit.edu %% Date: 2023-01-28 %% License: Latex Project Public License %% %% File: sseqdrawing.code.tex %% %% Defines the macros that draw the features of the spectral sequence (at least, those that aren't drawn by tikz). %% Everything here has to be super optimized, because like 90% of the execution time is in these functions. %% In particular, tikz is a horrible performance hole that must be avoided at all costs. For example, the code %% the code to produce the axis ticks used to use the tikz \node command, and in the file example_KF3n.tex drawing %% the axes ticks was taking about 1/3 of the compile time (a little under 1s out of a 3.2) %% % Only for integer valued coordinates... \def\sseq@qpointxy#1#2{\pgfqpointxy{\numexpr#1+\sseq@xoffset\relax}{\numexpr#2+\sseq@yoffset\relax}} \def\sseq@transform@xymirror{ \pgfsetxvec{\pgfqpoint{1cm}{0cm}} \pgfsetyvec{\pgfqpoint{0cm}{1cm}} \pgftransformcm{0}{1}{1}{0}{\pgfpointxy{\sseq@xoffset*\sseq@xscale }{\sseq@yoffset*\sseq@yscale}} % Reflect x and y axes, \pgftransformshift{\pgfpointxy{-\sseq@xoffset*\sseq@yscale}{-\sseq@yoffset*\sseq@xscale}} % but we need to conjugate by a shift of (xoffset,yoffset) \pgfsetyvec{\pgfqpoint{0cm}{\sseq@xscale cm}} \pgfsetxvec{\pgfqpoint{\sseq@yscale cm}{0cm}} } \def\sseq@setlayoutparameter#1#2{\@xp\let\csname sseq@#1\@xp\endcsname\csname sseq@#1@#2\endcsname} \def\sseq@setlayoutparameters{ \sseq@setlayoutparameter{yaxisorigin}{x\sseq@xaxistype} \sseq@setlayoutparameter{drawyaxis}{x\sseq@xaxistype} \sseq@setlayoutparameter{yaxisstartoffset}{x\sseq@xaxistype} \sseq@setlayoutparameter{yaxisendoffset}{x\sseq@xaxistype} \sseq@setlayoutparameter{bottomgridpadding}{x\sseq@xaxistype} \sseq@setlayoutparameter{topgridpadding}{x\sseq@xaxistype} \sseq@setlayoutparameter{bottomclippadding}{x\sseq@xaxistype} \sseq@setlayoutparameter{topclippadding}{x\sseq@xaxistype} \sseq@setlayoutparameter{xlabelposition}{x\sseq@xaxistype} \sseq@setlayoutparameter{totalverticalmargin}{x\sseq@xaxistype} % \sseq@setlayoutparameter{xaxisorigin}{y\sseq@yaxistype} \sseq@setlayoutparameter{drawxaxis}{y\sseq@yaxistype} \sseq@setlayoutparameter{xaxisstartoffset}{y\sseq@yaxistype} \sseq@setlayoutparameter{xaxisendoffset}{y\sseq@yaxistype} \sseq@setlayoutparameter{leftgridpadding}{y\sseq@yaxistype} \sseq@setlayoutparameter{rightgridpadding}{y\sseq@yaxistype} \sseq@setlayoutparameter{leftclippadding}{y\sseq@yaxistype} \sseq@setlayoutparameter{rightclippadding}{y\sseq@yaxistype} \sseq@setlayoutparameter{ylabelposition}{y\sseq@yaxistype} \sseq@setlayoutparameter{totalhorizontalmargin}{y\sseq@yaxistype} } % The appropriate one of these is chosen by the "axis type" keys in sseqkeys. % Used to calculate available area in range check \def\sseq@totalhorizontalmargin@yborder{(\sseq@xaxis@tail + \sseq@yaxisgap + \sseq@xaxis@end@extend + \sseq@clip@padding@right)} \def\sseq@totalhorizontalmargin@yframe{(\sseq@ylabelgap + \sseq@maxylabelwidth + \sseq@yaxisgap * 2)} \def\sseq@totalhorizontalmargin@ycenter{(\sseq@xaxis@start@extend + \sseq@clip@padding@left + \sseq@xaxis@end@extend + \sseq@clip@padding@right)} \def\sseq@totalhorizontalmargin@ynone{(\sseq@xaxis@start@extend + \sseq@clip@padding@left + \sseq@xaxis@end@extend + \sseq@clip@padding@right)} \def\sseq@totalverticalmargin@xborder{(\sseq@yaxis@tail + \sseq@xaxisgap + \sseq@yaxis@end@extend + \sseq@clip@padding@top)} \def\sseq@totalverticalmargin@xframe{(\sseq@xlabelgap + \sseq@xlabelheight + \sseq@xaxisgap * 2)} \def\sseq@totalverticalmargin@xcenter{(\sseq@yaxis@start@extend + \sseq@clip@padding@bottom + \sseq@yaxis@end@extend + \sseq@clip@padding@top)} \def\sseq@totalverticalmargin@xnone{(\sseq@yaxis@start@extend + \sseq@clip@padding@bottom + \sseq@yaxis@end@extend + \sseq@clip@padding@top)} % Used to determine axis and ticks placement \def\sseq@xaxisorigin@yborder{\sseq@xmin} \def\sseq@xaxisorigin@yframe{\sseq@xmin} \def\sseq@xaxisorigin@ycenter{\sseq@xaxisorigin@center@} \def\sseq@yaxisorigin@xborder{\sseq@ymin} \def\sseq@yaxisorigin@xframe{\sseq@ymin} \def\sseq@yaxisorigin@xcenter{\sseq@yaxisorigin@center@} % Used to determine clipping and grid boundaries \def\sseq@leftgridpadding@yborder{\dimexpr\sseq@yaxisgap-\sseq@yclip@axisgap\relax} \def\sseq@rightgridpadding@yborder{\sseq@xaxis@end@extend} \def\sseq@leftgridpadding@ycenter{\sseq@xaxis@start@extend} \def\sseq@rightgridpadding@ycenter{\sseq@xaxis@end@extend} \def\sseq@leftgridpadding@yframe{\dimexpr\sseq@yaxisgap-\sseq@yclip@axisgap\relax} \def\sseq@rightgridpadding@yframe{5cm} % Just make it big enough to push off the end of the clip \def\sseq@leftgridpadding@ynone{\sseq@yaxisgap} \def\sseq@rightgridpadding@ynone{\sseq@yaxisgap} \def\sseq@bottomgridpadding@xborder{\dimexpr\sseq@xaxisgap-\sseq@xclip@axisgap\relax} \def\sseq@topgridpadding@xborder{\sseq@yaxis@end@extend} \def\sseq@bottomgridpadding@xcenter{\sseq@yaxis@start@extend} \def\sseq@topgridpadding@xcenter{\sseq@yaxis@end@extend} \def\sseq@bottomgridpadding@xframe{\dimexpr\sseq@xaxisgap-\sseq@xclip@axisgap\relax} \def\sseq@topgridpadding@xframe{5cm} \def\sseq@bottomgridpadding@xnone{\sseq@xaxisgap} \def\sseq@topgridpadding@xnone{\sseq@xaxisgap} \def\sseq@leftclippadding@yborder{\dimexpr-\sseq@yaxisgap+\sseq@yclip@axisgap\relax} \def\sseq@rightclippadding@yborder{\dimexpr\sseq@xaxis@end@extend+\sseq@clip@padding@right\relax} \def\sseq@leftclippadding@ycenter{\dimexpr-\sseq@xaxis@start@extend-\sseq@clip@padding@left\relax} \def\sseq@rightclippadding@ycenter{\dimexpr\sseq@xaxis@end@extend+\sseq@clip@padding@right\relax} \def\sseq@leftclippadding@yframe{\dimexpr-\sseq@yaxisgap+\sseq@yclip@axisgap\relax} \def\sseq@rightclippadding@yframe{\dimexpr\sseq@yaxisgap-\sseq@yclip@axisgap\relax} \def\sseq@leftclippadding@ynone{\dimexpr-\sseq@yaxisgap-\sseq@clip@padding@left\relax} \def\sseq@rightclippadding@ynone{\dimexpr\sseq@yaxisgap+\sseq@clip@padding@right\relax} \def\sseq@bottomclippadding@xborder{\dimexpr-\sseq@xaxisgap+\sseq@xclip@axisgap\relax} \def\sseq@topclippadding@xborder{\dimexpr\sseq@yaxis@end@extend+\sseq@clip@padding@top\relax} \def\sseq@bottomclippadding@xcenter{\dimexpr-\sseq@yaxis@start@extend-\sseq@clip@padding@bottom\relax} \def\sseq@topclippadding@xcenter{\dimexpr\sseq@yaxis@end@extend+\sseq@clip@padding@top\relax} \def\sseq@bottomclippadding@xframe{\dimexpr-\sseq@xaxisgap+\sseq@xclip@axisgap\relax} \def\sseq@topclippadding@xframe{\dimexpr\sseq@xaxisgap-\sseq@xclip@axisgap\relax} \def\sseq@bottomclippadding@xnone{\dimexpr-\sseq@xaxisgap-\sseq@clip@padding@bottom\relax} \def\sseq@topclippadding@xnone{\dimexpr\sseq@xaxisgap+\sseq@clip@padding@top\relax} % Used to figure out how much further beyond (min -- max) to draw axes \def\sseq@xaxisstartoffset@yborder{\dimexpr\sseq@xaxis@tail+\sseq@yaxisgap\relax} \def\sseq@xaxisendoffset@yborder{\sseq@xaxis@end@extend} \def\sseq@xaxisstartoffset@ycenter{\sseq@xaxis@start@extend} \def\sseq@xaxisendoffset@ycenter{\sseq@xaxis@end@extend} \def\sseq@xaxisstartoffset@yframe{\sseq@yaxisgap} \def\sseq@xaxisendoffset@yframe{\sseq@yaxisgap} \def\sseq@yaxisstartoffset@xborder{\dimexpr\sseq@yaxis@tail+\sseq@xaxisgap\relax} \def\sseq@yaxisendoffset@xborder{\sseq@yaxis@end@extend} \def\sseq@yaxisstartoffset@xcenter{\sseq@yaxis@start@extend} \def\sseq@yaxisendoffset@xcenter{\sseq@yaxis@end@extend} \def\sseq@yaxisstartoffset@xframe{\sseq@xaxisgap} \def\sseq@yaxisendoffset@xframe{\sseq@xaxisgap} \def\sseq@xlabelposition@xborder{(0,-\sseq@xaxisstartoffset)} \def\sseq@xlabelposition@xcenter{(-\sseq@yaxisgap,-\sseq@xaxisstartoffset-5pt)} \def\sseq@xlabelposition@xframe{(0,-\sseq@xaxisgap-\sseq@xlabelgap-10pt)} \def\sseq@xlabelposition@xnone{(0,0)} \def\sseq@ylabelposition@yborder{(0,\sseq@yaxisstartoffset)} \def\sseq@ylabelposition@ycenter{(-\sseq@xaxisgap,\sseq@yaxisstartoffset+5pt)} \def\sseq@ylabelposition@yframe{(0,\sseq@yaxisgap+\sseq@ylabelgap+10pt)} \def\sseq@ylabelposition@ynone{(0,0)} %%% %%% Draw axes and clip %%% \def\sseq@handlexaxis{ \bgroup \sseq@drawxaxis \ifsseq@drawxaxisticks \sseq@drawxticks \fi \egroup } \def\sseq@handleyaxis{ \bgroup \sseq@drawyaxis \ifsseq@drawyaxisticks \sseq@drawyticks \fi \egroup } % Draws an x axis. Use with \sseq@transform@xymirror to draw y axis. % #1 -- horizontal start offset % #2 -- horizontal end offset % #3 -- vertical offset % #4 -- start value % #5 -- end value % #6 -- vertical value \def\sseq@drawaxis@generic#1#2#3#4#5#6{ \bgroup \pgftransformshift{\pgfqpoint{#2}{#3}} \pgfpathmoveto{\sseq@qpointxy{#5}{#6}} \egroup % \bgroup \pgftransformshift{\pgfqpoint{#1}{#3}} \pgfpathlineto{\sseq@qpointxy{#4}{#6}} \egroup } \def\sseq@drawxaxis@ynone{ \sseq@drawxaxisticksfalse } \def\sseq@drawyaxis@xnone{ \sseq@drawyaxisticksfalse } \def\sseq@drawxaxis@yborder{ \sseq@drawaxis@generic{-\sseq@xaxisstartoffset}{\sseq@xaxisendoffset}{-\sseq@xaxisgap}{\sseq@xmin}{\sseq@xmax}{\sseq@yaxisorigin} \pgfusepath{stroke} } \let\sseq@drawxaxis@ycenter\sseq@drawxaxis@yborder \def\sseq@drawxaxis@yframe{ \sseq@drawaxis@generic{-\sseq@xaxisstartoffset}{\sseq@xaxisendoffset}{-\sseq@xaxisgap}{\sseq@xmin}{\sseq@xmax}{\sseq@ymin} \sseq@drawaxis@generic{-\sseq@xaxisstartoffset}{\sseq@xaxisendoffset}{ \sseq@xaxisgap}{\sseq@xmin}{\sseq@xmax}{\sseq@ymax} \pgfusepath{stroke} } \def\sseq@drawyaxis@xborder{ \bgroup \sseq@transform@xymirror \sseq@drawaxis@generic{-\sseq@yaxisstartoffset}{\sseq@yaxisendoffset}{-\sseq@yaxisgap}{\sseq@ymin}{\sseq@ymax}{\sseq@xaxisorigin} \pgfusepath{stroke}% \egroup } \let\sseq@drawyaxis@xcenter\sseq@drawyaxis@xborder \def\sseq@drawyaxis@xframe{ \bgroup \sseq@transform@xymirror \sseq@drawaxis@generic{-\sseq@yaxisstartoffset}{\sseq@yaxisendoffset}{-\sseq@yaxisgap}{\sseq@ymin}{\sseq@ymax}{\sseq@xmin} \sseq@drawaxis@generic{-\sseq@yaxisstartoffset}{\sseq@yaxisendoffset}{ \sseq@yaxisgap}{\sseq@ymin}{\sseq@ymax}{\sseq@xmax} \pgfusepath{stroke}% \egroup } \ExplSyntaxOn \def\sseq@intdivceiling#1#2{% \ifnum#1>\z@ % \int_div_truncate:nn rounds towards 0. We want \int_div_ceiling \int_div_truncate:nn{#1+#2-1}{#2} % if positive, use ceil(p/q)=floor((p+q-1)/q) for p,q integers \else \int_div_truncate:nn{#1}{#2} % if we are negative, towards 0 is ceiling \fi } \def\sseq@intdivfloor#1#2{% \ifnum#1<\z@ % \int_div_truncate:nn rounds towards 0. We want \int_div_floor \int_div_truncate:nn{#1-#2+1}{#2} % if we are negative, use floor(p/q) = ceil(p-q+1/q) for p,q integers \else \int_div_truncate:nn{#1}{#2} % if positive, towards 0 is floor \fi } \ExplSyntaxOff % #1 -- xmin % #2 -- xmax % #3 -- step % #4 -- offset % #5 -- ymin % #6 -- xaxisgap % #7 -- code \def\sseq@tickloop@generic#1#2#3#4#5#6#7{ \sseq@tempcount=\numexpr % min \sseq@intdivceiling{#1}{#3} * #3 - \sseq@intdivceiling{#4}{#3} * #3 + #4 \relax \ifnum\sseq@tempcount<#1\relax \advance\sseq@tempcount#3\relax \fi \sseq@tempcountb=\numexpr#2+1\relax % max \loop \bgroup \pgftransformshift{\sseq@qpointxy{\sseq@tempcount}{#5}}% \pgftransformshift{\pgfqpoint{0pt}{#6}} #7 \egroup \advance\sseq@tempcount#3\relax \ifnum\sseq@tempcount<\sseq@tempcountb\repeat } \def\sseq@drawxticks{% \sseq@tickloop@generic{\sseq@xmin}{\sseq@xmax}{\sseq@xtickstep}{\sseq@xtickstepoffset}{\sseq@yaxisorigin}{-\sseq@xaxisgap}{ \pgftransformshift{\pgfqpoint{0pt}{-\sseq@xlabelgap}} \pgftransformresetnontranslations %\@xp\tikzset\@xp{\sseq@xtickstyle} %\pgftext{\tikz@options\tikz@textfont\hbox{$\sseq@xtickfn{\the\sseq@tempx}$}}% \@xp\node\@xp[\sseq@xtickstyle]{\hbox{$\sseq@xtickfn{\the\sseq@tempcount}$}}; } \ifnum\sseq@xmajortickstep>\z@ \sseq@tickloop@generic{\sseq@xmin}{\sseq@xmax}{\sseq@xmajortickstep}{\sseq@xtickstepoffset}{\sseq@yaxisorigin}{-\sseq@xaxisgap}{ \pgfpathmoveto{\pgfpointorigin} \pgfpathlineto{\pgfpoint{0}{-0.4*\sseq@xaxisgap}} } \fi \ifnum\sseq@xminortickstep>\z@ \sseq@tickloop@generic{\sseq@xmin}{\sseq@xmax}{\sseq@xminortickstep}{\sseq@xtickstepoffset}{\sseq@yaxisorigin}{-\sseq@xaxisgap}{ \pgfpathmoveto{\pgfpointorigin} \pgfpathlineto{\pgfpoint{0}{-0.2*\sseq@xaxisgap}} } \fi \pgfusepath{stroke} } \def\sseq@drawyticks{% \sseq@transform@xymirror \sseq@tickloop@generic{\sseq@ymin}{\sseq@ymax}{\sseq@ytickstep}{\sseq@ytickstepoffset}{\sseq@xaxisorigin}{-\sseq@yaxisgap}{ \pgftransformshift{\pgfqpoint{0pt}{-\sseq@ylabelgap}} \pgftransformresetnontranslations %\@xp\tikzset\@xp{\sseq@ytickstyle} %\pgftext{\tikz@options\tikz@textfont\hbox{$\sseq@ytickfn{\the\sseq@tempx}$}}% \@xp\node\@xp[\sseq@ytickstyle]{\hbox{$\sseq@ytickfn{\the\sseq@tempcount}$}}; } \ifnum\sseq@ymajortickstep>\z@ \sseq@tickloop@generic{\sseq@ymin}{\sseq@ymax}{\sseq@ymajortickstep}{\sseq@ytickstepoffset}{\sseq@xaxisorigin}{-\sseq@yaxisgap}{ \pgfpathmoveto{\pgfpointorigin} \pgfpathlineto{\pgfpoint{0}{-0.4*\sseq@yaxisgap}} } \fi \ifnum\sseq@yminortickstep>\z@ \sseq@tickloop@generic{\sseq@ymin}{\sseq@ymax}{\sseq@yminortickstep}{\sseq@ytickstepoffset}{\sseq@xaxisorigin}{-\sseq@yaxisgap}{ \pgfpathmoveto{\pgfpointorigin} \pgfpathlineto{\pgfpoint{0}{-0.2*\sseq@yaxisgap}} } \fi \pgfusepath{stroke} } \def\sseq@setupclip{ %\clip(\sseq@xmin-0.4,\sseq@ymin-0.4) rectangle (\sseq@xmax+0.5,\sseq@ymax+0.5);% \ifsseq@clip \ifx\sseq@customclip\pgfutil@empty \bgroup \def\xmin{\pgftransformshift{\pgfqpoint{\sseq@leftclippadding}{0pt}}} \def\ymin{\pgftransformshift{\pgfqpoint{0pt}{\sseq@bottomclippadding}}} \def\xmax{\pgftransformshift{\pgfqpoint{\sseq@rightclippadding}{0pt}}} \def\ymax{\pgftransformshift{\pgfqpoint{0pt}{\sseq@topclippadding}}} \bgroup \xmin\ymin \pgfpathmoveto{\pgfqpointxy{\numexpr\sseq@xmin+\sseq@xoffset\relax}{\numexpr\sseq@ymin+\sseq@yoffset\relax}} \egroup \bgroup \xmin\ymax \pgfpathlineto{\pgfqpointxy{\numexpr\sseq@xmin+\sseq@xoffset\relax}{\numexpr\sseq@ymax+\sseq@yoffset\relax}} \egroup \bgroup \xmax\ymax \pgfpathlineto{\pgfqpointxy{\numexpr\sseq@xmax+\sseq@xoffset\relax}{\numexpr\sseq@ymax+\sseq@yoffset\relax}} \egroup \bgroup \xmax\ymin \pgfpathlineto{\pgfqpointxy{\numexpr\sseq@xmax+\sseq@xoffset\relax}{\numexpr\sseq@ymin+\sseq@yoffset\relax}} \egroup \egroup \pgfpathclose \pgfgetpath\sseq@theclippath % This stores the clipping so I can apply it later \pgfusepath{discard}% This has to be after the egroup or else the clipping gets screwed up % \bgroup \pgfpathmoveto{\pgfqpointxy{\numexpr\sseq@xmin+\sseq@xoffset\relax}{\numexpr\sseq@ymin+\sseq@yoffset\relax}} \pgfpathlineto{\pgfqpointxy{\numexpr\sseq@xmin+\sseq@xoffset\relax}{\numexpr\sseq@ymax+\sseq@yoffset\relax}} \pgfpathlineto{\pgfqpointxy{\numexpr\sseq@xmax+\sseq@xoffset\relax}{\numexpr\sseq@ymax+\sseq@yoffset\relax}} \pgfpathlineto{\pgfqpointxy{\numexpr\sseq@xmax+\sseq@xoffset\relax}{\numexpr\sseq@ymin+\sseq@yoffset\relax}} \pgfpathclose \egroup \pgfgetpath\sseq@therangepath % Only for deciding whether to draw "tricky edges" \pgfusepath{discard} \else \def\sseq@temp{\path[name path=temp]} \@xptwo\sseq@temp\@xp\@gobble\sseq@customclip \pgfgetpath\sseq@theclippath \let\sseq@theclippath\tikz@intersect@path@name@temp \fi \else \let\sseq@theclippath\relax \fi } \def\sseq@useclip{\ifx\sseq@theclippath\relax\else\pgfsetpath\sseq@theclippath\pgfusepath{clip}\fi} % sets \pgf@xa and \pgf@ya equal to the coordinates of (1,1), sets \pgf@xb and \pgf@xb equal to (x grid step, y grid step) \def\sseq@grid@setstepandgridstep{ \pgf@process{\pgfqpointxy{1}{1}} \pgf@xa=\pgf@x \pgf@ya=\pgf@y \pgf@process{\pgfqpointxy{\sseq@xgridstep}{\sseq@ygridstep}} \pgf@xb=\pgf@x \pgf@yb=\pgf@y } % #1 -- macro to store result in % #2 -- "x" or "y" as appropriate % #3 -- length (with units) % #4 -- fraction of gridstep % If #2 is x, then it either sets #1 to #3/(x scale) or xgridstep*#4, whichever is smaller % The output is intended for use with \pgfpointxy. \def\sseq@grid@atmostgridstep#1#2#3#4{ \ifdim#3<\dimexpr\csname pgf@#2b\endcsname*#4\relax \pgfmathparse{#3/\csname pgf@#2a\endcsname} \let#1\pgfmathresult \else \edef#1{\csname sseq@#2gridstep\endcsname*#4} \fi } % This grid was a huge pain in the ass to get right... \def\sseq@grid@chess{ \bgroup \pgfscope % Because of complicated aliasing issues that arise when misusing the \pgfgrid command in this way, % it's more convenient to add a clip than to actually stop things in the right place. \clip (\sseq@xmin-0.49,\sseq@ymin-0.49) rectangle (\sseq@xmax+0.49,\sseq@ymax+0.49); % \clip (\sseq@xmin,\sseq@ymin) ++ (-0.49, -0.49) % rectangle ([shift={(0.5cm*\sseq@yscale,0.5*\sseq@xscale)}] % \sseq@xmax,\sseq@ymax); % \sseq@useclip \pgfsetcolor{\sseq@gridcolor} \pgfsetstrokeopacity{0.3} % We don't set low opacity for the other grids, but this one is visible even if it is very faint. \sseq@grid@setstepandgridstep % % Use ifdim with cm to compare real scalars b/c tex is dumb. % okay, now we need to be careful in order to avoid overflows. The hack we are using requires that the xvec and the yvec are equal % because we can't apply these via lowlevelsynccm. However, xvec and yvec are the things that prevent overflows. % What we need to do is set them both equal to the smaller value. Now the scale factor determines the size of the squares, % so we mix in the grid steps. We also need to scale the larger scaled coordinate by the ratio of the two scales. \ifdim\sseq@xscale cm<\sseq@yscale cm\relax % x is smaller so set both x and y vecs to \sseq@xscale cm. \pgfsetxvec{\pgfpoint{\sseq@xscale cm}{0cm}} \pgfsetyvec{\pgfpoint{0cm}{\sseq@xscale cm}} \def\sseq@xadjustscale{\sseq@xgridstep} \def\sseq@yadjustscale{\sseq@yscale/\sseq@xscale*\sseq@ygridstep} \def\sseq@stepscale{\sseq@xscale} \else \pgfsetxvec{\pgfpoint{\sseq@yscale cm}{0cm}} \pgfsetyvec{\pgfpoint{0cm}{\sseq@yscale cm}} \def\sseq@xadjustscale{(\sseq@xscale/\sseq@yscale*\sseq@xgridstep)} \def\sseq@yadjustscale{\sseq@ygridstep} \def\sseq@stepscale{\sseq@yscale} \fi \pgftransformxscale{\sseq@xadjustscale} \pgftransformyscale{\sseq@yadjustscale} % Now we have to put in some ridiculously complicated shift in order to get the bottom corner in the right place. % I found this formula mostly by trial and error. % The basic idea that we should be making something divisible by twice the grid step (which is the actual period of our grid) % is reasonable enough, but what the heck are these other two terms for? I don't know either, thank god it works. \pgftransformshift{\pgfpointxy{ floor((\sseq@xgridstep-1)/2)/\sseq@xgridstep + \ifodd\sseq@xgridstep\space 0 \else 0.5/\sseq@xgridstep\fi + mod(1+\sseq@xmin/\sseq@xgridstep,2*\sseq@xgridstep) }{ floor((\sseq@ygridstep-1)/2)/\sseq@ygridstep + \ifodd\sseq@ygridstep\space 0\else 0.5/\sseq@ygridstep\fi + mod(1+\sseq@ymin/\sseq@ygridstep,2*\sseq@ygridstep) } } % We use lowlevelsynccm to make the scale adjust the line width. Normally scaling doesn't affect line width, text size, etc, which is sensible. % When you apply \pgflowlevelsynccm, pgf loses track of the coordinate matrix and it gets indiscriminately applied to everything. % This is good for us, because we're doing this absurd thing where we make a checkerboard by drawing a really really fat line. \pgflowlevelsynccm \pgfsetlinewidth{1cm*\sseq@stepscale} \pgfsetdash{{1cm*\sseq@stepscale}{1cm*\sseq@stepscale}}{1cm*\sseq@stepscale} % % Naturally some trial and error occurred here too. % Note the huge multiples of \sseq@xgridstep I added in -- they probably aren't necessary, but I don't understand what's going on so whatever. They make sure that the pattern always extends past the edge of the clipping region. Otherwise the gird occasionally stops short for some reason. % The basic idea is that things need to be divisible by twice the grid step. The part I added in the shift above % was the remainder when you divide \sseq@xmin by twice the grid step, now we need to add in the multiple of twice the grid step. % The -0.5 is ensuring that the checkerboard boundaries lie at half-integer coordinates (I think). \pgfpathgrid[stepx= 2cm*\sseq@stepscale,stepy=2cm*\sseq@stepscale] { \pgfpointxy { -0.5 + \sseq@intdivfloor{\numexpr\sseq@xmin - \sseq@xgridstep\relax}{2*\sseq@xgridstep}*2*\sseq@xgridstep + \sseq@xoffset -50*\sseq@xgridstep } { -0.5 + \sseq@intdivfloor{\numexpr\sseq@ymin - \sseq@ygridstep\relax}{2*\sseq@ygridstep}*2*\sseq@ygridstep + \sseq@yoffset -50*\sseq@ygridstep } }{ \pgfpointxy { \sseq@xmax + \sseq@xoffset + 50*\sseq@xgridstep } { \sseq@ymax + \sseq@yoffset + 50*\sseq@ygridstep } } \pgfusepath{stroke} \endpgfscope \egroup } \def\sseq@grid@crossword{ \bgroup \pgfscope \sseq@useclip \pgfsetcolor{\sseq@gridcolor} \pgfsetlinewidth{\the\sseq@gridstrokethickness} \sseq@grid@setstepandgridstep % % We don't want the grid to end with an extra line, so extend it by one half the step distance or % \sseq@---gridpadding, whichever is shorter. \sseq@grid@atmostgridstep\sseq@xminpadding{x}{\sseq@leftgridpadding}{1/2} \sseq@grid@atmostgridstep\sseq@xmaxpadding{x}{\sseq@rightgridpadding}{1/2} \sseq@grid@atmostgridstep\sseq@yminpadding{y}{\sseq@bottomgridpadding}{1/2} \sseq@grid@atmostgridstep\sseq@ymaxpadding{y}{\sseq@topgridpadding}{1/2} % \pgftransformshift{\pgfpointxy{-\sseq@xgridstep/2}{-\sseq@ygridstep/2}} \pgfpathgrid[stepx=\pgf@xb,stepy=\pgf@yb] { \pgfpointxy { \sseq@xmin - \sseq@xminpadding + 0.01 + \sseq@xoffset + \sseq@xgridstep/2 } { \sseq@ymin - \sseq@yminpadding + 0.01 + \sseq@yoffset + \sseq@ygridstep/2 } } { \pgfpointxy { \sseq@xmax + \sseq@xmaxpadding - 0.01 + \sseq@xoffset + \sseq@xgridstep/2 } { \sseq@ymax + \sseq@ymaxpadding - 0.01 + \sseq@yoffset + \sseq@ygridstep/2 } } \pgfusepath{stroke} \endpgfscope \egroup } \def\sseq@grid@go{ \bgroup \pgfscope \sseq@useclip \pgfsetcolor{\sseq@gridcolor} \pgfsetlinewidth{\the\sseq@gridstrokethickness} \sseq@grid@setstepandgridstep % % We don't want the grid to end with an extra line, so extend it by one step distance or % \sseq@---gridpadding, whichever is shorter. \sseq@grid@atmostgridstep\sseq@xminpadding{x}{\sseq@leftgridpadding}{1} \sseq@grid@atmostgridstep\sseq@xmaxpadding{x}{\sseq@rightgridpadding}{1} \sseq@grid@atmostgridstep\sseq@yminpadding{y}{\sseq@bottomgridpadding}{1} \sseq@grid@atmostgridstep\sseq@ymaxpadding{y}{\sseq@topgridpadding}{1} % \pgfpathgrid[stepx=\pgf@xb,stepy=\pgf@yb] { \pgfpointxy { \sseq@xmin - \sseq@xminpadding + 0.01 + \sseq@xoffset } { \sseq@ymin - \sseq@yminpadding + 0.01 + \sseq@yoffset } } { \pgfpointxy { \sseq@xmax + \sseq@xmaxpadding - 0.01 + \sseq@xoffset } { \sseq@ymax + \sseq@ymaxpadding - 0.01 + \sseq@yoffset } } \pgfusepath{stroke} \endpgfscope \egroup } \def\sseq@grid@none{} \def\sseq@grid@dots{ \bgroup \pgfscope \pgfgettransform\sseq@savetransform \pgfgettransformentries{\sseq@a}{\sseq@b}{\sseq@c}{\sseq@d}{\sseq@u}{\sseq@v} \pgfsettransform\sseq@savetransform \sseq@useclip \pgftransformshift{\pgfqpoint{-1.5cm}{-0.5cm}} \pgfsetdash{{1pt}{\sseq@a*1cm-1pt}}{0.5cm+.5pt} \pgfsetlinewidth{1pt} \sseq@tempy=\sseq@ymin\relax \advance\sseq@tempy\m@ne \loop \advance\sseq@tempy\@ne \pgfpathmoveto{\pgfpointxy{\sseq@xmin + 0.5/\sseq@a}{\the\sseq@tempy}} \pgfpathlineto{\pgfpointxy{\sseq@xmax + 1.01 }{\the\sseq@tempy}} \ifnum\sseq@tempy<\sseq@ymax\repeat %\pgfpathgrid[stepx=1cm,stepy=1cm]{\pgfpoint{-0.5cm}{-0.5cm}}{\pgfpoint{\xmax cm-0.5cm}{\ymax cm-0.5cm}} \pgfusepath{stroke} \endpgfscope \egroup } %%% %%% Draw Classes %%% %%% Class offsets \SseqNewClassPattern{standard}{ (0,0); (-0.13,0)(0.13,0); (-0.2,0)(0,0)(0.2,0); (-0.13,-0.13)(0.13,-0.13)(-0.13,0.13)(0.13,0.13); (-0.16,-0.16)(0.16,-0.16)(-0.16,0.16)(0.16,0.16)(0,0); (-0.13,-0.2)(-0.13,0)(-0.13,0.2)(0.13,-0.2)(0.13,0)(0.13,0.2); } \sseqnewclasspattern{linear}{ (0,0); (-0.13,0)(0.13,0); (-0.2,0)(0,0)(0.2,0); (-0.3,0)(-0.1,0)(0.1,0)(0.3,0); (-0.4,0)(-0.2,0)(0,0)(0.2,0)(0.4,0); (-0.5,0)(-0.3,0)(-0.1,0)(0.1,0)(0.3,0)(0.5,0); } \def\sseq@offset#1#2{ \sseq@eval{\@nx\pgftransformshift{ \@nx\pgfqpointxy { \csname sseq@\sseq@classpattern xoffset#1/#2\endcsname } { \csname sseq@\sseq@classpattern yoffset#1/#2\endcsname } }} } \def\sseq@tooltip@wrapper#1#2{% \edef\temp{\detokenize\@xpthree{#2}}% \edef\temp{\@xp\sseqtooltip@replaceslashes\@xp{\temp}}% \sseq@eval{\@nx\pdftooltip{\unexpanded{#1}}{\temp}}% } \bgroup\lccode`\!=`\\\lowercase{\egroup \def\sseqtooltip@replaceslashes#1{\sseqtooltip@replaceslashes@#1!\sseq@nil} \def\sseqtooltip@replaceslashes@#1!#2{% #1% \ifx\sseq@nil#2\@xp\@gobble\else \@nx\@nx\@nx\textbackslash \@xp\sseqtooltip@replaceslashes@ \fi#2% } } % #1 -- "class." % (#2,#3,#4) -- the class name x,y,n % #5 -- generation \def\sseq@class@getparts#1(#2,#3,#4)[#5].{ \sseq@seterrorannotation@drawing{#1}{#2}{#3}{#4}{#5} \def\sseq@thisnodename{sseq{#2,#3,#4}} \def\sseq@thispos{(#2,#3)} \edef\sseq@thisposnodeindex{\sseq@obj{class.(#2,#3,#4).n}} \edef\sseq@thispostotalnodes{\sseq@obj{partcoord.(#2,#3).numnodes}} \def\sseq@thisclassnum{#5} \sseq@tempx=#2\relax \sseq@tempy=#3\relax } % #1 -- the name of the class object given as (x,y,n)[gen] % Mandatory fields: % partcoord.(x,y).numnodes % (x,y,n).num -- number of generations of this class % (x,y,n).n -- node n of numnodes (needed to allow node position to differ from creation order). % class.page -- the death page of the class % Optional fields: % class.options -- Options for this class. % class.nodetext -- The internal text of the node % class.nodetext.options -- options (color, font) to change the nodetext % class.labelnodes -- a list of external labels % class.name & class.showname -- If there is a name, use it as a label in some way % class.tooltip -- Make a tooltip. Fails if the user didn't load package with tooltip option % class.needstikz -- Use tikz to draw this node % Someday I should document this horrible mess of code here \newif\ifsseq@permanentcycle \newcount\sseq@totalclassesdrawn \AtEndDocument{\message{Total classes: \the\sseq@totalclassesdrawn}} \def\sseq@class@drawnode#1{% \global\advance\sseq@totalclassesdrawn\@ne \begingroup \sseq@class@getparts#1. % defines: % \sseq@thisnodename -- name we should give the pdfnode % \sseq@thispos -- (x,y) % \sseq@thispostotalnodes -- total number of nodes at (x,y) % \sseq@thisposnodeindex -- index of this node \sseq@needstikzfalse % Apply first pass styles? TODO: What is this for again? \sseq@options@firstpassmode \sseq@thesseqstyle \sseq@theclassstyle \ifnum\sseq@obj{#1.page}=\sseq@infinitycount \sseq@thepermanentcyclestyle \else \sseq@thetransientcyclestyle \ifsseq@thispage \sseq@thethispagecyclestyle \fi \fi \the\sseq@scope@toks \sseq@obj{#1.needstikz} % \sseq@outofrangetrue\relax % Mysterious that we need this \relax here... % If we are in range, we'll draw the node, if not we just mark the coordinate. \ifnum\sseq@tempx<\sseq@xmaxpp\relax\ifnum\sseq@tempx>\sseq@xminmm\relax\ifnum\sseq@tempy<\sseq@ymaxpp\relax\ifnum\sseq@tempy>\sseq@yminmm\relax \sseq@outofrangefalse \pgfscope % Finish options setup \let\tikz@options\pgfutil@empty \let\tikz@alias=\pgfutil@empty \def\pgfkeysdefaultpath{/sseqpages/class/}% \sseq@options@secondpassmode \sseq@thesseqstyle \sseq@theclassstyle \ifnum\sseq@obj{#1.page}=\sseq@infinitycount \sseq@permanentcycletrue % This is to communicate with family style code... \sseq@thepermanentcyclestyle \else \sseq@permanentcyclefalse \sseq@thetransientcyclestyle \ifsseq@thispage \sseq@thethispagecyclestyle \fi \fi \def\sseq@collections@featuretype{class} \the\sseq@scope@toks \sseq@obj{#1.options} % Set up node position coordinate transform \pgftransformshift{\pgfqpointxy{\numexpr\sseq@tempx +\sseq@xoffset-\sseq@x\relax}{\numexpr\sseq@tempy + \sseq@yoffset-\sseq@y\relax}} \iftikz@fullytransformed\pgfgettransform{\savetransform}\fi \pgftransformresetnontranslations \sseq@globalrotatetransform % Now the origin is at (x,y). Set up class placement offset. \sseq@classplacementtransform \sseq@obj@ifdef{#1.offset}{\sseq@obj{#1.offset}}{% \sseq@offset{\sseq@thisposnodeindex}{\sseq@thispostotalnodes}% }% \iftikz@fullytransformed\pgfsettransform{\savetransform}\else\pgftransformresetnontranslations\ifsseq@rotatelabels\sseq@globalrotatetransform\fi\fi % \tikz@options % the value of \sseq@class@showname comes from styles. If there was a local option with showname, it's stored in #1.showname. % local value takes priority. \let\sseq@classlabelnodes\pgfutil@empty \edef\sseq@classnodetextoptions{\sseq@obj@ifdef{#1.nodetext.options}{\@xptwo\@nx\sseq@obj{#1.nodetext.options}}{}} \edef\sseq@classnodetext{\sseq@obj@ifdef{#1.nodetext}{\@xptwo\@nx\sseq@obj{#1.nodetext}}{}} \sseq@obj@ifdef{#1.showname}{\sseq@lettoobj\sseq@class@showname{#1.showname}}{} \ifcsname sseq@class@showname\endcsname \sseq@obj@ifdef{#1.name}{ \sseq@eval{\@nx\sseq@handleclassquotes@inner{\sseq@obj{#1.name}}{\sseq@class@showname}} }{} \fi % Okay now we're ready to make the node \ifsseq@needstikz % The options code above put mode information into \tikz@mode which gets wiped by tikz \let\sseq@mode\tikz@mode \sseq@eval{% \@nx\node[% every text node part/.code/.expand once={\sseq@globalrotatetransform\sseq@classnodetextoptions{}},% /utils/exec={\let\@nx\tikz@mode\@nx\sseq@mode}] % Set mode based on outer options (\sseq@thisnodename) {\unexpanded\@xp{\sseq@classnodetext}};% }% \else \tikz@node@textfont \sseq@setnodetext{\sseq@classnodetext}{\sseq@classnodetextoptions}% \let\tikz@fig@name\sseq@thisnodename \pgfmultipartnode{\tikz@shape}{\tikz@anchor}{\tikz@fig@name}{\sseq@drawnode}% \tikz@alias % makes extra names for this shape \fi \sseq@obj{#1.labelnodes}% \sseq@classlabelnodes % classlabelnodes comes from show name (I guess it can't put them into #1.labelnodes? TODO: why?) \sseq@obj@ifdef{#1.tooltip}{\sseq@dotooltip{#1}}{}% \endpgfscope \fi\fi\fi\fi % If the node is out of range, to save time we don't draw anything. However, structlines etc may depend on the out of range node, % so we mark the coordinate. \ifsseq@outofrange \sseq@eval{\@nx\pgftransformshift{\@nx\pgfqpointxy{\numexpr\sseq@tempx+\sseq@xoffset-\sseq@x\relax}{\numexpr\sseq@tempy+\sseq@yoffset-\sseq@y\relax}}}% \pgftransformresetnontranslations \sseq@globalrotatetransform \sseq@classplacementtransform \sseq@offset{\sseq@thisposnodeindex}{\sseq@thispostotalnodes}% \pgfcoordinate{\sseq@thisnodename}{\pgfpointorigin}% \fi \endgroup } \def\sseq@dotooltip#1{% \pgfpointanchor{\sseq@thisnodename}{west}% \pgf@xa=\pgf@x \pgfpointanchor{\sseq@thisnodename}{south}% \pgf@ya=\pgf@y % \pgf@process{\pgfpointdiff{\pgfpointtransformed{\pgfpointanchor{\sseq@thisnodename}{west}}}{\pgfpointtransformed{\pgfpointanchor{\sseq@thisnodename}{east}}}}% \pgf@xb=\pgf@x \pgf@process{\pgfpointdiff{\pgfpointtransformed{\pgfpointanchor{\sseq@thisnodename}{south}}}{\pgfpointtransformed{\pgfpointanchor{\sseq@thisnodename}{north}}}}% \pgf@yb=\pgf@y % \setbox\tikz@tempbox=\hbox{% \pgfinterruptpicture \sseqtooltip{\rule{\pgf@xb}{0pt}\rule{0pt}{\pgf@yb}}{\sseq@obj{#1.tooltip}}% \endpgfinterruptpicture } {% \pgftransformshift{\pgfqpoint{\pgf@xa}{\pgf@ya}}% \pgfapproximatenonlineartransformation% \pgfqboxsynced{\tikz@tempbox}% }% } % #1 -- label text % #2 -- options % Make the node textbox. \def\sseq@setnodetext#1#2{% \sseq@ifempty{#1}{% more often than not, the node is empty... \setbox\pgfnodeparttextbox=\hbox{}% }{% \setbox\pgfnodeparttextbox=\hbox{% \pgfscope% #2 \tikzset{every text node part/.try}% \ifx\tikz@textopacity\pgfutil@empty% \else% \pgfsetfillopacity{\tikz@textopacity}% \pgfsetstrokeopacity{\tikz@textopacity}% \fi% \pgfinterruptpicture \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% \ifx\tikz@textcolor\pgfutil@empty% \else% \pgfutil@colorlet{.}{\tikz@textcolor}% \fi% \pgfsetcolor{.}% \tikz@atbegin@node% #1% \tikz@atend@node% \ifx\tikz@text@width\pgfutil@empty% \else% \pgfutil@endminipage% \endgroup% \fi% \endpgfinterruptpicture \endpgfscope% }% \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% } } % A small part of the tikz main loop that has been paired down as much as possible for efficiency. \def\sseq@drawnode{% \pgfutil@tempdima=\pgflinewidth% {% \tikz@mode% \iftikz@mode@draw% \iftikz@mode@double% % Change line width \begingroup% \pgfsys@beginscope% \tikz@double@setup% \fi% \fi% % % Step 10: Do stroke/fill as needed % \sseq@eval{\noexpand\pgfusepath{% \iftikz@mode@fill fill,\fi% \iftikz@mode@draw draw,\fi% }}% % % Step 11: Double stroke, if necessary % \iftikz@mode@draw% \iftikz@mode@double% \pgfsys@endscope% \endgroup% \fi% \fi }% \global\pgflinewidth=\pgfutil@tempdima% } %%% Labels % #1 -- label text % #2 -- options \def\sseq@drawlabel#1#2{% \bgroup\pgfscope \def\tikz@mode{}% \let\sseq@tikz@transform@save\tikz@transform \pgfkeyssetvalue{/pgf/inner xsep}{2pt}% \pgfkeyssetvalue{/pgf/inner ysep}{2pt}% \def\tikz@shape{rectangle} \let\tikz@transform\empty % The next line was set up to fix the classlabelstyle glitch (what does this mean?) \sseq@options@secondpassmode \sseq@thesseqstyle\sseq@thelabelstyle\sseq@theclasslabelstyle#2 \tikz@options \pgftransformreset \pgftransformshift{\tikz@node@at}% \tikz@lib@pos@call \tikz@transform \tikz@mode \let\tikz@transform\sseq@tikz@transform@save \sseq@setnodetext{\sseq@labeltextfn{#1}}{}% \pgfmultipartnode{\tikz@shape}{\tikz@anchor}{label}{\sseq@drawnode}% \ifsseq@pin \def\sseq@pinoptions{}% \let\tikz@options\empty \let\tikz@mode\empty \sseq@thepinstyle #2 \sseq@pinoptions \tikz@options \tikz@mode \sseq@drawedge@findsourcetarget{\tikz@fig@name}{}{label}{}% \pgfpathmoveto{\sseq@sourcecoord}% \pgfpathlineto{\sseq@targetcoord}% \sseq@eval{\noexpand\pgfusepath{% draw, \iftikz@mode@fill fill,\fi \iftikz@mode@draw draw,\fi }}% \fi \endpgfscope\egroup } %%% %%% Drawing edges %%% \def\sseq@ifinrange(#1){\sseq@ifinrange@#1,\sseq@nil} \def\sseq@ifinrange@#1,#2,#3\sseq@nil{% \sseq@tempx=#1\relax\sseq@tempy=#2\relax \sseq@outofrangetrue \ifnum\sseq@tempx<\sseq@xmaxpp\relax\ifnum\sseq@tempx>\sseq@xminmm\relax\ifnum\sseq@tempy<\sseq@ymaxpp\relax\ifnum\sseq@tempy>\sseq@yminmm\relax \sseq@outofrangefalse \fi\fi\fi\fi \ifsseq@outofrange \@xp\pgfutil@secondoftwo \else \@xp\pgfutil@firstoftwo \fi } % #1 -- source node % #2 -- source anchor % #3 -- target node % #4 -- target anchor % Calculate actual start and end of the edge (node borders), return the results stored in \sseq@sourcecoord, \sseq@targetcoord \def\sseq@drawedge@findsourcetarget#1#2#3#4{ \edef\sseq@edgesourceanchor{#2} \edef\sseq@edgetargetanchor{#4} \let\tempaf\pgfutil@empty \ifx\sseq@edgesourceanchor\pgfutil@empty % Check that the source doesn't have a specified anchor \def\tempa{\pgfpointanchor{#1}{center}}% if so, start by taking the center of that coordinate \else \edef\tempa{\@nx\pgfpointanchor{#1}{\sseq@edgesourceanchor}} % If it has an anchor, use that \let\tempaf\tempa \fi \ifx\sseq@edgetargetanchor\pgfutil@empty % check that the target doesn't have a specified anchor \def\tempb{\pgfpointshapeborder{#3}{\tempa}}% if so, our end point is the point on the boundary of node b that is in the direction of our initial start coordinate \else \edef\tempb{\@nx\pgfpointanchor{#3}{\sseq@edgetargetanchor}}% If it has a specified anchor, use that \fi \let\tempbf\tempb \ifx\tempaf\pgfutil@empty% \def\tempaf{\pgfpointshapeborder{#1}{\tempb}}% \fi \let\sseq@sourcecoord\tempaf \let\sseq@targetcoord\tempbf } \def\sseq@fullcoord@to@partialcoord(#1){\sseq@fullcoord@to@partialcoord@#1,\@nil} \def\sseq@fullcoord@to@partialcoord@#1,#2,#3\@nil{{#1cm}{#2cm}} % #1 -- source (full) % #2 -- target (full) % #3 -- which type of edge ("differential", "structline", or "extension") % #4 -- options \def\sseq@drawedge(#1)(#2)#3#4{% \begingroup\pgfscope % If either class is part of a family we aren't drawing, don't draw the edge either. \expandafter\ifx\csname pgf@sh@pi@sseq{#1}\endcsname\pgfpictureid\else \@xp\sseq@break \fi \expandafter\ifx\csname pgf@sh@pi@sseq{#2}\endcsname\pgfpictureid\else \@xp\sseq@break \fi \def\sseq@edgetype{#3} \let\sseq@collections@featuretype\sseq@edgetype \let\sseq@edgesourceanchor\pgfutil@empty \let\sseq@edgetargetanchor\pgfutil@empty % \sseq@needstikzfalse \def\pgfkeysdefaultpath{/sseqpages/#3/}% \sseq@options@bothpassmode \sseq@thesseqstyle \sseq@theedgestyle\csname sseq@the#3style\endcsname \ifsseq@thispage \csname sseq@thethispage#3style\endcsname \fi \the\sseq@scope@toks #4% \csname sseq@collections@#3@hook\endcsname \pgftransformshift{\pgfqpointxy{-\the\sseq@x}{-\the\sseq@y}}% \ifsseq@needstikz \pgfnodealias{tempa}{sseq{#1}} \pgfnodealias{tempb}{sseq{#2}} \def\sseq@sourcecoord{\pgfpointanchor{sseq{#1}}{center}} \def\sseq@targetcoord{\pgfpointanchor{sseq{#2}}{center}} \else % puts results into \sseq@sourcecoord and \sseq@targetcoord \sseq@drawedge@findsourcetarget{sseq{#1}}{\sseq@edgesourceanchor}{sseq{#2}}{\sseq@edgetargetanchor} \pgfcoordinate{tempa}{\sseq@sourcecoord}% \pgfcoordinate{tempb}{\sseq@targetcoord}% \fi % \tikz@options \tikz@mode \def\temparrowstartspec{}% \def\temparrowendspec{}% \pgftransformreset \sseq@outofrangefalse \sseq@ifinrange(#1){}{ \edef\temparrowstartspec{\@nx\pgfsetarrowsstart{\csname sseq@runoffarrow@start@#3@spec\endcsname}} \sseq@outofrangetrue }% \sseq@ifinrange(#2){}{ \edef\temparrowendspec{\@nx\pgfsetarrowsend{\csname sseq@runoffarrow@end@#3@spec\endcsname}} \sseq@outofrangetrue } \ifsseq@outofrange \sseq@handleoffpageedge{#1}{#2}% \fi \ifsseq@drawedge % TODO: should some sort of transformation manipulation be here? Maybe allow user to specify preference? % Don't draw dots on very short segments \pgfpointdiff{\sseq@targetcoord}{\sseq@sourcecoord} \pgfmathveclen{\pgf@x}{\pgf@y}% \@xp\pgfmathint\@xp{\pgfmathresult}% \ifnum\pgfmathresult<10\relax%%17? % TODO: Fix this predicate \tikzset{every text node part/.append code={\pgfsetcolor{white}}}% I wonder why this is here... \ifx\temparrowstartspec\pgfutil@empty \else \def\temparrowstartspec{\pgfsetarrowsstart{}}% \fi \ifx\temparrowendspec\pgfutil@empty \else \def\temparrowendspec{\pgfsetarrowsend{}}% \fi \fi \ifsseq@needstikz \draw[/sseqpages,% /utils/exec={% \sseq@thesseqstyle\sseq@theedgestyle \csname sseq@the#3style\endcsname \ifsseq@thispage \csname sseq@thethispage#3style\endcsname \fi \the\sseq@scope@toks \temparrowstartspec\temparrowendspec #4% }% ] (tempa) to (tempb);% \else \temparrowstartspec \temparrowendspec \pgfpathmoveto{\pgfpointanchor{tempa}{center}}% \pgfpathlineto{\pgfpointanchor{tempb}{center}}% \sseq@eval{\noexpand\pgfusepath{% \iftikz@mode@fill fill,\fi \iftikz@mode@draw draw,\fi }}% \fi \fi \sseq@breakpoint \endpgfscope\endgroup } % TODO: this macro is super expensive. Make it faster \def\sseq@handleoffpageedge#1#2{ \pgfpathmoveto{\sseq@sourcecoord}% \pgfpathlineto{\sseq@targetcoord}% \pgfgetpath\thispath \pgfusepath{discard}% \pgfintersectionsortbysecondpath \pgfintersectionofpaths{\pgfsetpath\sseq@theclippath}{\pgfsetpath\thispath}% \ifcase\pgfintersectionsolutions\relax % No intersections, but one or both endpoints may be out of range but still in clipping region due to scaling. Add ellipses as appropriate. \sseq@ifinrange(#1){% If the first endpoint is in range, the second must be out of range b/c sseq@outofrange is true. %\edef\temparrowendspec{\@nx\pgfsetarrowsend{\csname sseq@runoffarrow@end@#3@spec\endcsname}} }{% \sseq@ifinrange(#2){}{\sseq@drawedge@handletrickyedge}% uh-oh, both ends are out of range }% \or \sseq@ifinrange(#1){% If the startpoint is in range, the intersection must be the end. \def\sseq@targetcoord{\pgfpointintersectionsolution{1}} \pgfcoordinate{tempb}{\sseq@targetcoord} }{% \sseq@ifinrange(#2){% If the startpoint is out of range and the endpoint is in range, the intersection must be the start \def\sseq@sourcecoord{\pgfpointintersectionsolution{1}}% \pgfcoordinate{tempa}{\sseq@sourcecoord}% }{\sseq@drawedge@handletrickyedge}% Uh-oh, both ends are out of range. } \or% an orphan \ifsseq@draworphanedges \sseq@drawedge@handleorphan \else \sseq@drawedgefalse % Don't draw "orphaned edges" \fi \else \sseq@error{clip-not-convex}% \sseq@breakfifi \fi } \def\sseq@drawedge@handletrickyedge{% \ifsseq@draworphanedges \pgfintersectionsortbysecondpath \pgfintersectionofpaths{\pgfsetpath\sseq@therangepath}{\pgfsetpath\thispath}% \ifnum\pgfintersectionsolutions=\z@ \sseq@drawedgefalse % don't draw orphan edges that never intersect actual range \else% Now we have to make a line through tempa and tempb long enough so that it intersects the original clip area twice. \pgfmathanglebetweenpoints{\pgfpointanchor{tempa}{center}}{\pgfpointanchor{tempb}{center}}% \edef\tempangle{\pgfmathresult} \pgfpathmoveto{\pgfpointadd{\pgfpointanchor{tempa}{center}}{\pgfpointpolar{\tempangle}{100cm}}}% a really long line \pgfpathlineto{\pgfpointadd{\pgfpointanchor{tempa}{center}}{\pgfpointpolar{\tempangle}{-100cm}}}% \pgfgetpath\thispath \pgfusepath{discard} \pgfintersectionofpaths{\pgfsetpath\sseq@theclippath}{\pgfsetpath\thispath} \sseq@drawedge@handleorphan \fi \else \sseq@drawedgefalse \fi } \def\sseq@drawedge@handleorphan{% \def\sseq@sourcecoord{\pgfpointintersectionsolution{2}}% \def\sseq@targetcoord{\pgfpointintersectionsolution{1}}% \edef\temparrowstartspec{\@nx\pgfsetarrowsstart{\csname sseq@runoffarrow@start@\sseq@edgetype @spec\endcsname}}% \edef\temparrowendspec{\@nx\pgfsetarrowsend{\csname sseq@runoffarrow@end@\sseq@edgetype @spec\endcsname}}% \pgfcoordinate{tempa}{\sseq@sourcecoord}% \pgfcoordinate{tempb}{\sseq@targetcoord}% } % #1 -- uid % #2 -- first coordinate % #3 -- second coordinate \def\sseq@circleclass@draw#1#2#3{ \begingroup % If either class is part of a family we aren't drawing, don't draw the fit either. \expandafter\ifx\csname pgf@sh@pi@sseq{#2}\endcsname\pgfpictureid\else \@xp\sseq@break \fi \expandafter\ifx\csname pgf@sh@pi@sseq{#3}\endcsname\pgfpictureid\else \@xp\sseq@break \fi \pgfmathanglebetweenpoints{\pgfpointanchor{sseq{#2}}{center}}{\pgfpointanchor{sseq{#3}}{center}} \let\tempangle\pgfmathresult \let\tikz@lib@fit@scan@handle\sseq@fit@tikz@lib@fit@scan@handle % install fit modifications. \let\tikz@calc@anchor\sseq@fit@tikz@calc@anchor \sseq@tempiftrue \sseq@options@secondpassmode \node[ rotate fit=\tempangle, /utils/exec={\sseq@thesseqstyle\sseq@thecircleclassstyle\the\sseq@scope@toks\sseq@savedoptioncode \sseq@obj{#1.options} \sseq@obj{#1.fitnodes} \@xp\pgfkeysalso\@xp{\romannumeral0\sseq@obj{#1.tikzprimoptions}} } ] {}; \sseq@breakpoint \endgroup } % Modifies tikz commands \tikz@lib@fit@scan@handle from \pgf\frontendlayer\tikz\libraries\tikzlibraryfit.code.tex line 81 and % \tikz@calc@anchor from \pgf\frontendlayer\tikz\tikz.code.tex line 5164 % make it so that fit silently ignores nodes that are not defined. % This is copied with modification from \pgf\frontendlayer\tikz\libraries\tikzlibraryfit.code.tex line 81 \def\sseq@fit@tikz@lib@fit@scan@handle#1{% \ifsseq@tempif % this has been set in the following macro to be true if there is a node with the given name. If it's not true, ignore this. \iftikz@shapeborder% % Ok, fit all four external anchors, if they exist \tikz@lib@fit@adjust{\pgfpointanchor{\tikz@shapeborder@name}{west}}% \tikz@lib@fit@adjust{\pgfpointanchor{\tikz@shapeborder@name}{east}}% \tikz@lib@fit@adjust{\pgfpointanchor{\tikz@shapeborder@name}{north}}% \tikz@lib@fit@adjust{\pgfpointanchor{\tikz@shapeborder@name}{south}}% \else% \tikz@lib@fit@adjust{#1}% \fi% \fi \sseq@tempiftrue \tikz@lib@fit@scan% } %\def\tikz@calc@anchor#1.#2\tikz@stop{% % \ifcsname pgf@sh@ns@\tikz@pp@name {#1}\endcsname % \pgfpointanchor {\tikz@pp@name {#1}}{#2}% % \else % \pgfpointanchor {#1}{#2}% % \fi %} %l.8 \show\tikz@calc@anchor % This is copied with modification from \pgf\frontendlayer\tikz\tikz.code.tex line 5164 \def\sseq@fit@tikz@calc@anchor#1.#2\tikz@stop{% \ifcsname pgf@sh@ns@\tikz@pp@name {#1}\endcsname \pgfpointanchor {\tikz@pp@name {#1}}{#2}% \else \ifcsname pgf@sh@ns@#1\endcsname \pgfpointanchor {#1}{#2}% \else \sseq@tempiffalse \fi \fi } %\def\sseq@fit@tikz@calc@anchor#1.#2\tikz@stop{% % \pgfutil@ifundefined{pgf@sh@ns@#1}{\sseq@tempiffalse}{%If the node doesn't exist, don't throw an error but record that we should skip it % \pgfpointanchor{\tikz@pp@name{#1}}{#2}% % }%s %} %% %% Patch tikz coords %% \def\sseq@patchtikzcoords{ \let\sseq@tikz@scan@one@point@noshift\sseq@tikz@scan@one@point@noshift@active \tikzoption{shift}{\sseq@tikzshift{##1}} \let\tikz@@@parse@regular\sseq@tikz@@@parse@regular \let\tikz@to@curve@path\sseq@tikz@to@curve@path \let\tikz@@@to@compute@relative\sseq@tikz@@@to@compute@relative \let\tikz@grid\sseq@tikz@grid \let\tikz@scan@handle@options\sseq@tikz@scan@handle@options \let\tikz@@@parse@polar\sseq@tikz@@@parse@polar \let\tikz@scan@relative\sseq@tikz@scan@relative } \newif\ifsseq@draw@addoffset % control whether to offset coordinates by (\sseq@xoffset,\sseq@yoffset). \sseq@draw@addoffsettrue % Some of the stuff in tikzlibrarycalc will probably be broken, hopefully not too much \let\sseq@tikz@scan@one@point@noshift\tikz@scan@one@point \let\sseq@tikz@@@parse@regular@save\tikz@@@parse@regular \def\sseq@tikz@scan@relative#1+{% \global\sseq@draw@addoffsetfalse %\global\let\tikz@@@parse@regular\sseq@tikz@@@parse@regular@save \pgfutil@ifnextchar+{% \tikz@scan@plusplus{\global\sseq@draw@addoffsettrue#1}% }{% \tikz@scan@oneplus{\global\sseq@draw@addoffsettrue#1}% }% } \def\sseq@tikz@scan@one@point@noshift@active#1{% \global\sseq@draw@addoffsetfalse \def\sseq@scanonepoint@cmd{\global\sseq@draw@addoffsettrue#1} \tikz@scan@one@point\sseq@scanonepoint@cmd% } % Probably there are more places that shouldn't have shifts inserted. \def\sseq@tikzshift#1{\tikz@addtransform{\sseq@tikz@scan@one@point@noshift\pgftransformshift#1\relax}} \def\sseq@tikz@to@curve@path{% [every curve to] \pgfextra{ %\sseq@draw@addoffsetfalse \let\tikz@@@parse@regular\sseq@tikz@@@parse@regular@save % I added this to prevent repeated offsets from screwing us up \let\sseq@tikz@scan@one@point@noshift\tikz@scan@one@point \iftikz@to@relative\tikz@to@compute@relative\else\tikz@to@compute\fi } \tikz@computed@path \tikztonodes% } \let\sseq@tikz@@@to@compute@relative\tikz@@@to@compute@relative \patchcmd\sseq@tikz@@@to@compute@relative{% \let\tikz@second@point=\tikz@toto }{% \pgf@process{\pgfpointadd{\tikz@toto}{\pgfqpointxy{\sseq@xoffset}{\sseq@yoffset}}}% \edef\tikz@toto{\@nx\pgfpoint{\the\pgf@x}{\the\pgf@y}}% \let\tikz@second@point=\tikz@toto }{}{\error} % \tikz@parse@splitxyz: we should set up an error to make this unreachable? \let\sseq@tikz@grid\tikz@grid % line 3158 \let\sseq@tikz@scan@handle@options\tikz@scan@handle@options % 4959 \let\sseq@tikz@@@parse@polar\tikz@@@parse@polar % 5063 \def\sseq@tikz@@@parse@regular#1#2#3){% \pgfutil@in@,{#3}% \ifpgfutil@in@% \tikz@parse@splitxyz{#1}{#2}#3,% Perhaps put an error here? We probably don't handle 3d coords correctly. \else% \tikz@checkunit{#2}% \iftikz@isdimension% \def\temp@xcoord{(#2)/1cm}% \else \def\temp@xcoord{#2}% \fi \tikz@checkunit{#3}% \iftikz@isdimension \def\temp@ycoord{(#3)/1cm}% \else \def\temp@ycoord{#3}% \fi \ifsseq@draw@addoffset \edef\temp@xcoord{\unexpanded\@xp{\temp@xcoord}+\unexpanded\@xp{\sseq@xoffset}}% \edef\temp@ycoord{\unexpanded\@xp{\temp@ycoord}+\unexpanded\@xp{\sseq@yoffset}}% \fi \edef\@next{\unexpanded{#1}{\@nx\pgfpointxy{\unexpanded\@xp{\temp@xcoord}}{\unexpanded\@xp{\temp@ycoord}}}}% \fi% \@next% } %% New shapes and arrows %% These use lots of keys with spaces so it's convenient to turn off ExplSyntax. % Stolen from: https://tex.stackexchange.com/a/24621 \pgfqkeys{/pgf}{ ellipse ratio/.code={\pgfkeyssetvalue{/pgf/ellipse ratio}{#1}}, ellipse ratio/.initial=1 } \pgfdeclareshape{newellipse} { \inheritsavedanchors[from=ellipse] \inheritanchorborder[from=ellipse] \savedanchor\radius{% % % Caculate ``height radius'' % \pgf@y=.5\ht\pgfnodeparttextbox% \advance\pgf@y by.5\dp\pgfnodeparttextbox% \pgfmathsetlength\pgf@yb{\pgfkeysvalueof{/pgf/inner ysep}}% \advance\pgf@y by\pgf@yb% % % Caculate ``width radius'' % \pgf@x=.5\wd\pgfnodeparttextbox% \pgfmathsetlength\pgf@xb{\pgfkeysvalueof{/pgf/inner xsep}}% \advance\pgf@x by\pgf@xb% % % Adjust % \pgfkeysgetvalue{/pgf/ellipse ratio}{\ratioscale} \pgfmathsetmacro\widthfactor{sqrt(\ratioscale^2+1)/\ratioscale} \pgfmathsetmacro\heightfactor{sqrt(\ratioscale^2+1)} \pgf@x=\widthfactor\pgf@x% \pgf@y=\heightfactor\pgf@y% % % Adjust height, if necessary % \pgfmathsetlength\pgf@yc{\pgfkeysvalueof{/pgf/minimum height}}% \ifdim\pgf@y<.5\pgf@yc% \pgf@y=.5\pgf@yc% \fi% % % Adjust width, if necessary % \pgfmathsetlength\pgf@xc{\pgfkeysvalueof{/pgf/minimum width}}% \ifdim\pgf@x<.5\pgf@xc% \pgf@x=.5\pgf@xc% \fi% % % Add outer sep % \pgfmathsetlength{\pgf@xb}{\pgfkeysvalueof{/pgf/outer xsep}}% \pgfmathsetlength{\pgf@yb}{\pgfkeysvalueof{/pgf/outer ysep}}% \advance\pgf@x by\pgf@xb% \advance\pgf@y by\pgf@yb% } \inheritanchor[from=ellipse]{center} \inheritanchor[from=ellipse]{mid} \inheritanchor[from=ellipse]{base} \inheritanchor[from=ellipse]{north} \inheritanchor[from=ellipse]{south} \inheritanchor[from=ellipse]{west} \inheritanchor[from=ellipse]{mid west} \inheritanchor[from=ellipse]{base west} \inheritanchor[from=ellipse]{north west} \inheritanchor[from=ellipse]{south west} \inheritanchor[from=ellipse]{east} \inheritanchor[from=ellipse]{mid east} \inheritanchor[from=ellipse]{base east} \inheritanchor[from=ellipse]{north east} \inheritanchor[from=ellipse]{south east} \inheritbackgroundpath[from=ellipse] } %% %% %% n concentric circles %% \tikzset{circlen/.code={\def\circlen@n{#1}\pgfkeysalso{shape=circlen@shape}}} \pgfdeclareshape{circlen@shape} { \savedanchor\centerpoint{% \pgf@x=.5\wd\pgfnodeparttextbox% \pgf@y=.5\ht\pgfnodeparttextbox% \advance\pgf@y by-.5\dp\pgfnodeparttextbox% } \saveddimen\radius{% % % Caculate ``height radius'' % \pgf@ya=.5\ht\pgfnodeparttextbox% \advance\pgf@ya by.5\dp\pgfnodeparttextbox% \pgfmathsetlength\pgf@yb{\pgfkeysvalueof{/pgf/inner ysep}}% \advance\pgf@ya by\pgf@yb% % % Caculate ``width radius'' % \pgf@xa=.5\wd\pgfnodeparttextbox% \pgfmathsetlength\pgf@xb{\pgfkeysvalueof{/pgf/inner xsep}}% \advance\pgf@xa by\pgf@xb% % % Calculate length of radius vector: % \pgf@process{\pgfpointnormalised{\pgfqpoint{\pgf@xa}{\pgf@ya}}}% \ifdim\pgf@x>\pgf@y% \c@pgf@counta=\pgf@x% \ifnum\c@pgf@counta=\z@% \else% \divide\c@pgf@counta by 255\relax% \pgf@xa=16\pgf@xa\relax% \divide\pgf@xa by\c@pgf@counta% \pgf@xa=16\pgf@xa\relax% \fi% \else% \c@pgf@counta=\pgf@y% \ifnum\c@pgf@counta=\z@% \else% \divide\c@pgf@counta by 255\relax% \pgf@ya=16\pgf@ya\relax% \divide\pgf@ya by\c@pgf@counta% \pgf@xa=16\pgf@ya\relax% \fi% \fi% \pgf@x=\pgf@xa% % % If necessary, adjust radius so that the size requirements are % met: % \pgfmathsetlength{\pgf@xb}{\pgfkeysvalueof{/pgf/minimum width}}% \pgfmathsetlength{\pgf@yb}{\pgfkeysvalueof{/pgf/minimum height}}% \ifdim\pgf@x<.5\pgf@xb% \pgf@x=.5\pgf@xb% \fi% \ifdim\pgf@x<.5\pgf@yb% \pgf@x=.5\pgf@yb% \fi% % % Now, add larger of outer sepearations. % \pgfmathsetlength{\pgf@xb}{\pgfkeysvalueof{/pgf/outer xsep}}% \pgfmathsetlength{\pgf@yb}{\pgfkeysvalueof{/pgf/outer ysep}}% \ifdim\pgf@xb<\pgf@yb% \advance\pgf@x by\pgf@yb% \else% \advance\pgf@x by\pgf@xb% \fi% \pgf@xb=2pt \multiply\pgf@xb\circlen@n \advance\pgf@x\pgf@xb \advance\pgf@x-2pt\relax } % % Anchors % \anchor{center}{\centerpoint} \anchor{mid}{\centerpoint\pgfmathsetlength\pgf@y{.5ex}} \anchor{base}{\centerpoint\pgf@y=0pt} \anchor{north}{\centerpoint\advance\pgf@y by\radius} \anchor{south}{\centerpoint\advance\pgf@y by-\radius} \anchor{west}{\centerpoint\advance\pgf@x by-\radius} \anchor{east}{\centerpoint\advance\pgf@x by\radius} \anchor{mid west}{\centerpoint\advance\pgf@x by-\radius\pgfmathsetlength\pgf@y{.5ex}} \anchor{mid east}{\centerpoint\advance\pgf@x by\radius\pgfmathsetlength\pgf@y{.5ex}} \anchor{base west}{\centerpoint\advance\pgf@x by-\radius\pgf@y=0pt} \anchor{base east}{\centerpoint\advance\pgf@x by\radius\pgf@y=0pt} \anchor{north west}{ \centerpoint \pgf@xa=\radius \advance\pgf@x by-0.707107\pgf@xa \advance\pgf@y by0.707107\pgf@xa } \anchor{south west}{ \centerpoint \pgf@xa=\radius \advance\pgf@x by-0.707107\pgf@xa \advance\pgf@y by-0.707107\pgf@xa } \anchor{north east}{ \centerpoint \pgf@xa=\radius \advance\pgf@x by0.707107\pgf@xa \advance\pgf@y by0.707107\pgf@xa } \anchor{south east}{ \centerpoint \pgf@xa=\radius \advance\pgf@x by0.707107\pgf@xa \advance\pgf@y by-0.707107\pgf@xa } \anchorborder{ \pgf@xa=\pgf@x% \pgf@ya=\pgf@y% \edef\pgf@marshal{% \noexpand\pgfpointborderellipse {\noexpand\pgfqpoint{\the\pgf@xa}{\the\pgf@ya}} {\noexpand\pgfqpoint{\radius}{\radius}}% }% \pgf@marshal% \pgf@xa=\pgf@x% \pgf@ya=\pgf@y% \centerpoint% \advance\pgf@x by\pgf@xa% \advance\pgf@y by\pgf@ya% } % % Background path % \behindbackgroundpath{ \pgfutil@tempdima=\radius% \pgfmathsetlength{\pgf@xb}{\pgfkeysvalueof{/pgf/outer xsep}}% \pgfmathsetlength{\pgf@yb}{\pgfkeysvalueof{/pgf/outer ysep}}% \ifdim\pgf@xb<\pgf@yb% \advance\pgfutil@tempdima by-\pgf@yb% \else% \advance\pgfutil@tempdima by-\pgf@xb% \fi% \sseq@tempcount=\@ne \loop \pgfpathcircle{\centerpoint}{\pgfutil@tempdima}% \advance\pgfutil@tempdima-2pt\relax \advance\sseq@tempcount\@ne \ifnum\sseq@tempcount<\circlen@n \repeat \tikz@mode \sseq@eval{\noexpand\pgfusepath{ \iftikz@mode@draw draw,\fi }} } \backgroundpath{% \pgfutil@tempdima=\radius% \pgfmathsetlength{\pgf@xb}{\pgfkeysvalueof{/pgf/outer xsep}}% \pgfmathsetlength{\pgf@yb}{\pgfkeysvalueof{/pgf/outer ysep}}% \ifdim\pgf@xb<\pgf@yb% \advance\pgfutil@tempdima by-\pgf@yb% \else% \advance\pgfutil@tempdima by-\pgf@xb% \fi% \advance\pgfutil@tempdima2pt\relax \pgfutil@tempdimb=-2pt\relax \multiply\pgfutil@tempdimb\circlen@n \advance\pgfutil@tempdima\pgfutil@tempdimb\relax \pgfpathcircle{\centerpoint}{\pgfutil@tempdima} } } % For out of bounds edges: \pgfdeclarearrow{ name = ..., parameters = { \the\pgfarrowlength\the\pgflinewidth}, setup code = { % The different end values: \pgfarrowssetlineend{-\pgfarrowlength} \pgfarrowssetbackend{-0.6\pgfarrowlength} % The hull \pgfarrowshullpoint{-\pgfarrowlength}{0pt} \pgfarrowshullpoint{\pgfarrowlength}{0pt} % Saves: Only the length: \pgfarrowssavethe\pgfarrowlength \pgfarrowssavethe\pgflinewidth }, drawing code = { \pgfpathcircle{\pgfpoint{-0.7\pgfarrowlength}{0pt}}{1.5\pgflinewidth} \pgfpathcircle{\pgfpoint{-0.4\pgfarrowlength}{0pt}}{1.5\pgflinewidth} \pgfpathcircle{\pgfpoint{-0.1\pgfarrowlength}{0pt}}{1.5\pgflinewidth} \pgfpathclose \pgfusepathqfill }, defaults = { length = 0.3cm } }