%% Package: spectralsequences v1.3.3 2023-01-28

%%
%% Package: spectralsequences v1.3.3 2023-01-28
%% Author: Hood Chatham
%% Email: [email protected]
%% 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(\[email protected],\[email protected]) 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 (\[email protected],\[email protected])
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 }
}