%% tikzlibrarycd.code.tex [2021/05/04 v1.0 Commutative diagrams with TikZ]
%% Copyright 2011, 2012, 2014, 2018, 2021 Augusto Stoffel
%
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
% The latest version of this license is in
%
http://www.latex-project.org/lppl.txt
% and version 1.3 or later is part of all distributions of LaTeX
% version 2005/12/01 or later.
%
% This work has the LPPL maintenance status `maintained'.
%
% The Current Maintainer of this work is Augusto Stoffel.
%
% This work consists of the files tikzlibrarycd.code.tex, tikz-cd.sty
% and tikz-cd-doc.tex.
\usetikzlibrary{matrix,quotes,arrows.meta}
\newif\iftikzcd@mathmode
\def\tikzcdset{\pgfqkeys{/tikz/commutative diagrams}}
\tikzcdset{
arrows/.code={\tikzcdset{every arrow/.append style={#1}}},
labels/.code={\tikzcdset{every label/.append style={#1}}},
cells/.code={\tikzcdset{every cell/.append style={#1}}},
diagrams/.code={\tikzcdset{every diagram/.append style={#1}}},
execute before arrows/.code={%
\expandafter\def%
\expandafter\tikzcd@before@paths@hook%
\expandafter{\tikzcd@before@paths@hook#1}},
to/.code={\tikzcd@setarrowend\tikzcd@ar@target{#1}},
from/.code={\tikzcd@setarrowend\tikzcd@ar@start{#1}},
shorten/.style={
/tikz/shorten <=#1,
/tikz/shorten >=#1},
description/.style={
/tikz/anchor=center,
/tikz/fill=\pgfkeysvalueof{/tikz/commutative diagrams/background color}},
marking/.style={
/tikz/font=,
/tikz/sloped,
/tikz/shape=asymmetrical rectangle,
/tikz/anchor=center},
phantom/.style={
/tikz/draw=none,
/tikz/commutative diagrams/labels={
/tikz/font=,
/tikz/anchor=center}},
crossing over/.style={
/tikz/preaction={
/tikz/draw=\pgfkeysvalueof{/tikz/commutative diagrams/background color},
/tikz/arrows=-,
/tikz/line width=\pgfkeysvalueof{/tikz/commutative diagrams/crossing over clearance}}},
cramped/.code={\tikzcdset{
every matrix/.append style={inner sep=+-0.3em},
every cell/.append style={inner sep=+0.3em}}},
row sep/.code={\tikzcd@sep{row}{#1}},
column sep/.code={\tikzcd@sep{column}{#1}},
sep/.code={\tikzcdset{row sep={#1},column sep={#1}}},
math mode/.is if=tikzcd@mathmode,
arrow style/.is choice}
\def\tikzcd@sep#1#2{%
\pgfkeysifdefined{/tikz/commutative diagrams/#1 sep/#2}%
{\pgfkeysgetvalue{/tikz/commutative diagrams/#1 sep/#2}\tikzcd@temp%
\pgfkeysalso{/tikz/#1 sep/.expand once=\tikzcd@temp}}%
{\pgfkeysalso{/tikz/#1 sep={#2}}}}
\def\tikzcd@setarrowend#1#2{%
\pgfutil@ifundefined{pgf@sh@ns@\tikzcdmatrixname-#2}%
{%
\c@pgf@counta=0%
\c@pgf@countb=0%
\let\tikzcd@temp=\tikzcd@parse%
\expandafter\tikzcd@temp#2\relax%
\ifx\tikzcd@temp\pgfutil@empty% true if it was a direction parameter
\advance\c@pgf@counta by\tikzcd@currentrow%
\advance\c@pgf@countb by\tikzcd@currentcolumn%
\edef#1{\tikzcdmatrixname-\the\c@pgf@counta-\the\c@pgf@countb}%
\else%
\def#1{#2}%
\fi%
}{%
\def#1{\tikzcdmatrixname-#2}%
}}
% The unknown key handler and direction argument parser
\tikzcdset{
.unknown/.code={%
\ifpgfkeysaddeddefaultpath%
\c@pgf@counta=0%
\c@pgf@countb=0%
\let\tikzcd@temp=\tikzcd@parse%
\expandafter\tikzcd@temp\pgfkeyscurrentname\relax%
\ifx\tikzcd@temp\pgfutil@empty% true if it was a direction parameter
\advance\c@pgf@counta by\tikzcd@currentrow%
\advance\c@pgf@countb by\tikzcd@currentcolumn%
\edef\tikzcd@ar@target{\tikzcdmatrixname-\the\c@pgf@counta-\the\c@pgf@countb}%
\else%
\pgfqkeys{/tikz}{\pgfkeyscurrentname={#1}}%
\fi%
\else%
\def\pgfutilnext{\pgfkeysvalueof{/handlers/.unknown/.@cmd}#1\pgfeov}\pgfutilnext%
\fi}}
\def\tikzcd@parse#1{% parser for arrow direction argument
\ifx#1r\advance\c@pgf@countb by1\else%
\ifx#1d\advance\c@pgf@counta by1\else%
\ifx#1l\advance\c@pgf@countb by-1\else%
\ifx#1u\advance\c@pgf@counta by-1\else%
\ifx#1\relax\let\tikzcd@temp\pgfutil@empty%
\else\let\tikzcd@temp\pgfutil@gobble@until@relax\fi\fi\fi\fi\fi%
\tikzcd@temp}
% The `tikzcd' environment
\def\tikzcd{%
\iffalse{\fi\ifnum0=`}\fi% standard trick to allow nesting of tabular-like environments (cf. the tabularx manual)
\pgfutil@ifnextchar&% if we get an & here, it will be returned with the wrong catcode to the input stream
{\expandafter\tikzcd@@\expandafter\pgfmatrixnextcell\pgfutil@gobble}%
{\tikzcd@@}}
\def\tikzcd@@{\pgfutil@ifnextchar[{\tikzcd@handle@shortcuts@next\tikzcd@}{\tikzcd@[]}}
\def\tikzcd@[#1]{%
\tikzpicture[/tikz/commutative diagrams/.cd,every diagram,#1]%
\ifx\arrow\tikzcd@arrow%
\pgfutil@packageerror{tikz-cd}{Diagrams cannot be nested}{}%
\fi%
\let\arrow\tikzcd@arrow%
\let\ar\tikzcd@arrow%
\def\rar{\tikzcd@xar{r}}%
\def\lar{\tikzcd@xar{l}}%
\def\dar{\tikzcd@xar{d}}%
\def\uar{\tikzcd@xar{u}}%
\def\urar{\tikzcd@xar{ur}}%
\def\ular{\tikzcd@xar{ul}}%
\def\drar{\tikzcd@xar{dr}}%
\def\dlar{\tikzcd@xar{dl}}%
\global\let\tikzcd@savedpaths\pgfutil@empty%
\matrix[%
/tikz/matrix of \iftikzcd@mathmode math \fi nodes,%
/tikz/every cell/.append code={\tikzcdset{every cell}},%
/tikz/commutative diagrams/.cd,every matrix]%
\bgroup}
\def\endtikzcd{%
\pgfmatrixendrow\egroup%
\pgfextra{\global\let\tikzcdmatrixname\tikzlastnode};%
\tikzcdset{\the\pgfmatrixcurrentrow-row diagram/.try}%
\begingroup%
\pgfkeys{% `quotes' library support
/handlers/first char syntax/the character "/.initial=\tikzcd@forward@quotes,%
/tikz/edge quotes mean={%
edge node={node [execute at begin node=\iftikzcd@mathmode$\fi,%$
execute at end node=\iftikzcd@mathmode$\fi,%$
/tikz/commutative diagrams/.cd,every label,##2]{##1}}}}%
\let\tikzcd@errmessage\errmessage% improve error messages
\def\errmessage##1{\tikzcd@errmessage{##1^^J...^^Jl.\tikzcd@lineno\space%
I think the culprit is a tikzcd arrow in cell \tikzcd@currentrow-\tikzcd@currentcolumn}}%
\tikzcd@before@paths@hook%
\tikzcd@savedpaths%
\endgroup%
\endtikzpicture%
\ifnum0=`{}\fi}
% The arrow commands
\def\tikzcd@arrow{%
\relax% this was added to avoid errors when a cell starts with \arrow, but it seems unnecessary now
\edef\tikzcd@temp{%
\noexpand\def\noexpand\tikzcd@currentcolumn{\the\pgfmatrixcurrentcolumn}%
\noexpand\def\noexpand\tikzcd@currentrow{\the\pgfmatrixcurrentrow}%
\noexpand\def\noexpand\tikzcd@lineno{\the\inputlineno}}%
\expandafter\pgfutil@g@addto@macro\expandafter\tikzcd@savedpaths\expandafter{\tikzcd@temp}%
\pgfutil@ifnextchar[{\tikzcd@handle@shortcuts@next\tikzcd@@arrow}{\tikzcd@ar@old[]}}
\def\tikzcd@@arrow[#1]{\pgfutil@ifnextchar\bgroup{\tikzcd@ar@old[#1]}{\tikzcd@ar@new[#1]}}
\def\tikzcd@ar@new[#1]{% new syntax
\pgfutil@g@addto@macro\tikzcd@savedpaths{%
\path[/tikz/commutative diagrams/.cd,every arrow,#1]%
(\tikzcd@ar@start\tikzcd@startanchor) to (\tikzcd@ar@target\tikzcd@endanchor); }}
\def\tikzcd@ar@old[#1]#2{% old syntax
\pgfutil@ifnextchar[%
{\tikzcd@handle@shortcuts@next\tikzcd@ar@getlabel{to={#2},#1}}%
{\pgfutil@ifnextchar\bgroup%
{\tikzcd@ar@getlabel{to={#2},#1}[]}%
{\tikzcd@ar@new[to={#2},#1]}}}
\def\tikzcd@ar@getlabel#1[#2]#3{%
\pgfutil@ifnextchar[%
{\tikzcd@handle@shortcuts@next\tikzcd@ar@getlabel{#1,"{#3}"{#2}}}%
{\pgfutil@ifnextchar\bgroup%
{\tikzcd@ar@getlabel{#1,"{#3}"{#2}}[]}%
{\tikzcd@ar@new[#1,"{#3}"{#2}]}}}
\def\tikzcd@xar#1{\relax\pgfutil@ifnextchar[{\tikzcd@handle@shortcuts@next\tikzcd@@xar{#1}}{\tikzcd@arrow[]{#1}}}
\def\tikzcd@@xar#1[#2]{\tikzcd@arrow[#2]{#1}}
\def\tikzcd@handle@shortcuts@next{% expand next macro using standard catcodes
\iftikz@handle@active@code%
\begingroup%
\tikz@switchoff@shorthands\expandafter%
\endgroup\expandafter%
\fi}
\def\tikzcd@ar@target{\tikzcdmatrixname-\tikzcd@currentrow-\tikzcd@currentcolumn}
\def\tikzcd@ar@start{\tikzcdmatrixname-\tikzcd@currentrow-\tikzcd@currentcolumn}
\def\tikzcd@forward@quotes#1{\tikzset{every to/.append style={#1}}}
\let\tikzcd@before@paths@hook\pgfutil@empty
% `start anchor', `end anchor', and `shift' keys
\def\tikzcd@setanchor#1[#2]#3\relax{%
\ifx\relax#2\relax\else%
\tikzcdset{@#1transform/.append style={#2},@shiftabletopath}%
\fi%
\ifx\relax#3\relax%
\pgfutil@namelet{tikzcd@#1anchor}{pgfutil@empty}%
\else%
\pgfutil@namedef{tikzcd@#1anchor}{.#3}%
\fi}
\tikzcdset{
@shiftabletopath/.style={
/tikz/execute at begin to={%
\begingroup%
\def\tikz@tonodes{coordinate[pos=0,commutative diagrams/@starttransform/.try](tikzcd@nodea) %
coordinate[pos=1,commutative diagrams/@endtransform/.try](tikzcd@nodeb)}%
\path (\tikztostart) \tikz@to@path;%
\endgroup%
\def\tikztostart{tikzcd@nodea}%
\def\tikztotarget{tikzcd@nodeb}%
\tikzset{insert path={(tikzcd@nodea)}}},
/tikz/commutative diagrams/@shiftabletopath/.code={}},
start anchor/.code={%
\pgfutil@ifnextchar[{\tikzcd@setanchor{start}}{\tikzcd@setanchor{start}[]}#1\relax},%]
end anchor/.code={%
\pgfutil@ifnextchar[{\tikzcd@setanchor{end}}{\tikzcd@setanchor{end}[]}#1\relax},%]
start anchor=,
end anchor=,
shift left/.style={
/tikz/commutative diagrams/@shiftabletopath,
/tikz/execute at begin to={%
\pgfpointnormalised{%
\pgfpointdiff{\pgfpointanchor{tikzcd@nodeb}{center}}{\pgfpointanchor{tikzcd@nodea}{center}}}%
\pgfgetlastxy{\tikzcd@x}{\tikzcd@y}%
\pgfmathparse{#1}%
\ifpgfmathunitsdeclared\else
\pgfmathparse{\pgfmathresult*\pgfkeysvalueof{/tikz/commutative diagrams/shift left/.@def}}
\fi
\coordinate (tikzcd@nodea) at ([shift={(\pgfmathresult*\tikzcd@y,-\pgfmathresult*\tikzcd@x)}]tikzcd@nodea);%
\coordinate (tikzcd@nodeb) at ([shift={(\pgfmathresult*\tikzcd@y,-\pgfmathresult*\tikzcd@x)}]tikzcd@nodeb);%
\tikzset{insert path={(tikzcd@nodea)}}}},
shift right/.style={
/tikz/commutative diagrams/shift left={-(#1)}},
transform nodes/.style={
/tikz/commutative diagrams/@shiftabletopath,
/tikz/commutative diagrams/@starttransform/.append style={#1},
/tikz/commutative diagrams/@endtransform/.append style={#1}},
shift/.style={
/tikz/shift={#1},% we need this for labels to receive a shift
/tikz/commutative diagrams/transform nodes={/tikz/shift={#1}}},
xshift/.style={
/tikz/xshift={#1},
/tikz/commutative diagrams/transform nodes={/tikz/xshift={#1}}},
yshift/.style={
/tikz/yshift={#1},
/tikz/commutative diagrams/transform nodes={/tikz/yshift={#1}}}}
% pgfmath functions to obtain math fontdimens
\pgfutil@ifluatex
\directlua{tex.enableprimitives('tikzcd@', {'Umathaxis', 'Umathfractionrule'})}
\pgfmathdeclarefunction{axis_height}{0}{%
\begingroup%
$\relax$% update fontdimens
\pgfmathreturn\the\tikzcd@Umathaxis\textstyle%
\endgroup}
\pgfmathdeclarefunction{rule_thickness}{0}{%
\begingroup%
$\relax$%
\pgfmathreturn\the\tikzcd@Umathfractionrule\textstyle%
\endgroup}
\else% if using (pdf)tex
\pgfmathdeclarefunction{axis_height}{0}{%
\begingroup%
$\relax$% update fontdimens
\pgfmathreturn\the\fontdimen22\textfont2%
\endgroup}
\pgfmathdeclarefunction{rule_thickness}{0}{%
\begingroup%
$\relax$%
\pgfmathreturn\the\fontdimen8\textfont3%
\endgroup}
\fi
% The shape used inside matrices
\pgfdeclareshape{asymmetrical rectangle} {
\inheritsavedanchors[from={rectangle}]
\inheritanchor[from={rectangle}]{base}
\inheritanchor[from={rectangle}]{north}
\inheritanchor[from={rectangle}]{south}
\inheritanchor[from={rectangle}]{base west}
\inheritanchor[from={rectangle}]{north west}
\inheritanchor[from={rectangle}]{south west}
\inheritanchor[from={rectangle}]{base east}
\inheritanchor[from={rectangle}]{north east}
\inheritanchor[from={rectangle}]{south east}
\inheritanchor[from={rectangle}]{mid}
\inheritanchor[from={rectangle}]{mid west}
\inheritanchor[from={rectangle}]{mid east}
\inheritbackgroundpath[from={rectangle}]
\anchor{center}{\pgf@anchor@rectangle@center\pgfmathsetlength\pgf@y%
{\pgfkeysvalueof{/tikz/commutative diagrams/center yshift}}}
\anchor{west}{\pgf@anchor@rectangle@west\pgfmathsetlength\pgf@y%
{\pgfkeysvalueof{/tikz/commutative diagrams/center yshift}}}
\anchor{east}{\pgf@anchor@rectangle@east\pgfmathsetlength\pgf@y%
{\pgfkeysvalueof{/tikz/commutative diagrams/center yshift}}}
\anchor{real center}{\pgf@anchor@rectangle@center}
\anchor{real west}{\pgf@anchor@rectangle@west}
\anchor{real east}{\pgf@anchor@rectangle@east}
\anchorborder{%
\pgfmathsetlength\pgfutil@tempdima%
{\pgfkeysvalueof{/tikz/commutative diagrams/center yshift}}%
\pgf@xb=\pgf@x% xb/yb is target
\pgf@yb=\pgf@y%
\southwest%
\pgf@xa=\pgf@x% xa/ya is se
\pgf@ya=\pgf@y%
\northeast%
\advance\pgf@x by-\pgf@xa%
\advance\pgf@y by-\pgf@ya%
\pgf@xc=.5\pgf@x% x/y is half width/height
\pgf@yc=.5\pgf@y%
\advance\pgf@xa by\pgf@xc% xa/ya becomes center
\advance\pgf@ya by\pgf@yc%
\ifdim\pgf@yb>0pt%
\northeast%
\pgf@yc=\pgf@y%
\advance\pgf@yc by-\pgfutil@tempdima%
\else%
\southwest%
\pgf@yc=-\pgf@y%
\advance\pgf@yc by\pgfutil@tempdima%
\fi
\edef\pgf@marshal{%
\noexpand\pgfpointborderrectangle
{\noexpand\pgfqpoint{\the\pgf@xb}{\the\pgf@yb}}
{\noexpand\pgfqpoint{\the\pgf@xc}{\the\pgf@yc}}%
}%
\pgf@process{\pgf@marshal}%
\advance\pgf@x by\pgf@xa%
\advance\pgf@y by\pgfutil@tempdima%
}%
}%
% Computer modern arrow tips
\pgfkeys{
cm to/.tip={Computer Modern Rightarrow[length=+0pt 6.2]},
cm bold to/.tip={cm to[scale=0.667]},
cm double to/.tip={cm to[sep=+0pt -2.6]cm to},
cm bar/.tip={Bar[width=+0pt 8.2 0.89,line cap=round]},
cm left hook/.tip={Hooks[width=+0pt 10.8,length=+0pt 3.6,harpoon,line cap=round]},
cm implies/.tip={Implies},
cm left to/.tip={cm to[left]},
cm right to/.tip={cm to[right]},
cm right hook/.tip={cm left hook[swap]},
cm to reversed/.tip={cm to[reversed]},
cm */.tip={Circle[length=+0pt 7.6]},
cm o/.tip={cm *[open]},
cm |/.tip={cm bar}}%|
% The `Glyph' meta arrow tip
\pgfqkeys{/pgf/arrow keys}{
glyph math command/.code={% if csname #1 is undefined, we want it to remain so
\pgfarrowsaddtooptions{\def\tikzcd@glyph{$\begingroup\expandafter\endgroup\csname #1\endcsname$}}},
glyph axis/.code={\pgfarrowsaddtooptions{\pgfmathsetlengthmacro\tikzcd@glyph@axis{#1}}},
glyph length/.code={\pgfarrowsaddtooptions{\pgfmathsetlengthmacro\tikzcd@glyph@len{#1}}},
glyph shorten/.code={\pgfarrowsaddtooptions{\pgfmathsetlengthmacro\tikzcd@glyph@shorten{#1}}}}
\pgfdeclarearrow{
name=Glyph,
cache=false,
bending mode=none,
parameters={\tikzcd@glyph@len,\tikzcd@glyph@shorten},
setup code={%
\pgfarrowssettipend{\tikzcd@glyph@len\advance\pgf@x by\tikzcd@glyph@shorten}},
defaults={
glyph axis=axis_height,
glyph length=+0.9ex,
glyph shorten=+-0.1ex},
drawing code={%
\pgfpathrectangle{\pgfpoint{+0pt}{+-1ex}}{\pgfpoint{+\tikzcd@glyph@len}{+2ex}}%
\pgfusepathqclip%
\pgftransformxshift{+\tikzcd@glyph@len}%
\pgftransformyshift{+-\tikzcd@glyph@axis}%
\pgftext[right,base]{\tikzcd@glyph}}}
% Arrow tip selection styles
\tikzcdset{
double line/.code={\tikzset{%
double equal sign distance,
double=\pgfkeysvalueof{/tikz/commutative diagrams/background color}}},
dashed/.style={/tikz/dash pattern={on 7\pgflinewidth off 4\pgflinewidth}},
tikzcd to/.tip={cm to},
tikzcd bar/.tip={cm bar},
tikzcd left hook/.tip={cm left hook},
tikzcd double to/.tip={cm double to},
tikzcd implies/.tip={Implies},
tikzcd right hook/.tip={tikzcd left hook[swap]},
tikzcd left to/.tip={tikzcd to[harpoon]},
tikzcd right to/.tip={tikzcd left to[swap]},
tikzcd to reversed/.tip={tikzcd to[reversed]},
tikzcd cap/.tip={},
tikzcd implies cap/.tip={},
tikzcd implies bar/.tip={tikzcd bar},
no tail/.code={\pgfsetarrowsstart{tikzcd cap}},
to head/.code={\pgfsetarrowsend{tikzcd to}},
maps to/.code={\pgfsetarrowsstart{tikzcd bar}},
hook/.code={\pgfsetarrowsstart{tikzcd right hook}},
hook'/.code={\pgfsetarrowsstart{tikzcd left hook}},
harpoon/.code={\pgfsetarrowsend{tikzcd left to}},
harpoon'/.code={\pgfsetarrowsend{tikzcd right to}},
two heads/.code={\pgfsetarrowsend{tikzcd double to}},
tail/.code={\pgfsetarrowsstart{tikzcd to reversed}},
rightarrow/.code={\pgfsetarrows{tikzcd cap-tikzcd to}},
Rightarrow/.code={\tikzcdset{double line}\pgfsetarrows{tikzcd implies cap-tikzcd implies}},
leftarrow/.code={\pgfsetarrows{tikzcd to-tikzcd cap}},
Leftarrow/.code={\tikzcdset{double line}\pgfsetarrows{tikzcd implies-tikzcd implies cap}},
leftrightarrow/.code={\pgfsetarrows{tikzcd to-tikzcd to}},
Leftrightarrow/.code={\tikzcdset{double line}\pgfsetarrows{tikzcd implies-tikzcd implies}},
mapsto/.code={\pgfsetarrows{tikzcd bar-tikzcd to}},
mapsfrom/.code={\pgfsetarrows{tikzcd to-tikzcd bar}},
Mapsto/.code={\tikzcdset{double line}\pgfsetarrows{tikzcd implies bar-tikzcd implies}},
Mapsfrom/.code={\tikzcdset{double line}\pgfsetarrows{tikzcd implies-tikzcd implies bar}},
hookrightarrow/.code={\pgfsetarrows{tikzcd right hook-tikzcd to}},
hookleftarrow/.code={\pgfsetarrows{tikzcd to-tikzcd left hook}},
rightharpoonup/.code={\pgfsetarrows{tikzcd cap-tikzcd left to}},
rightharpoondown/.code={\pgfsetarrows{tikzcd cap-tikzcd right to}},
leftharpoonup/.code={\pgfsetarrows{tikzcd right to-tikzcd cap}},
leftharpoondown/.code={\pgfsetarrows{tikzcd left to-tikzcd cap}},
rightarrowtail/.code={\pgfsetarrows{tikzcd to reversed-tikzcd to}},
leftarrowtail/.code={\pgfsetarrows{tikzcd to-tikzcd to reversed}},
twoheadrightarrow/.code={\pgfsetarrows{tikzcd cap-tikzcd double to}},
twoheadleftarrow/.code={\pgfsetarrows{tikzcd double to-tikzcd cap}},
no head/.code={\pgfsetarrowsend{tikzcd cap}},
dash/.code={\pgfsetarrows{tikzcd cap-tikzcd cap}},
dashrightarrow/.code={\tikzcdset{rightarrow,dashed}},
dashleftarrow/.code={\tikzcdset{leftarrow,dashed}},
equal/.code={\tikzcdset{double line}\pgfsetarrows{tikzcd implies cap-tikzcd implies cap}},
equals/.code={\tikzcdset{equal}},
rightsquigarrow/.code={\tikzcdset{rightarrow,squiggly}},
leftsquigarrow/.code={\tikzcdset{leftarrow,squiggly}},
leftrightsquigarrow/.code={\tikzcdset{leftrightarrow,squiggly}},
squiggly/.code={%
\pgfutil@ifundefined{tikz@
[email protected]@loaded}%
{\pgfutil@packageerror{tikz-cd}{You need to say %
\string\usetikzlibrary{decorations.pathmorphing} to use squiggly arrows}{}}{}%
\pgfkeysalso{
/tikz/decorate,
/tikz/decoration={
zigzag,
segment length=9.25\pgflinewidth,
amplitude=1.9\pgflinewidth,
post=lineto, post length=6\pgflinewidth,
pre=lineto, pre length=6\pgflinewidth,
#1}}}}
% The `Latin Modern' arrow style
\pgfkeysdef{/tikz/commutative diagrams/arrow style/Latin Modern}{%
\tikzcdset{
tikzcd bar/.tip={Bar[width=+0pt 12 .992,line cap=round]},
tikzcd left hook/.tip={Hooks[width=+0pt 15,length=+0pt 4.2,arc=190,harpoon,line cap=round]}}}
% The `tikz' arrow style
\pgfkeysdef{/tikz/commutative diagrams/arrow style/tikz}{%
\tikzcdset{
tikzcd to/.tip={>},
tikzcd bar/.tip={Bar[width=+3pt 4 0.9]},
tikzcd left hook/.tip={Hooks[harpoon]},
tikzcd double to/.tip={tikzcd to[]tikzcd to}}}
% The `math font' arrow style
%
% If your font does not define the command \mapsfrom, do so by saying
% \def\mapsfrom{\pgfpicture\pgfsetbaseline{+0pt}\pgftransformxscale{-1}\pgftext[base]{$\mapsto$}\endpgfpicture}
%
% The method used to guess the correct value of `double distance'
% inside the `double line' style is not robust at all. If it fails,
% set
% \tikzcdset{double line/.append style={double distance=2*rule_thickness}}
% and find the correct value for `double distance' by trial and error
% (or measure the distance between the \Rightarrow stems in a font
% editor).
%
\pgfkeysdef{/tikz/commutative diagrams/arrow style/math font}{%
\tikzcdset{
tikzcd to/.tip={Glyph[glyph math command=rightarrow]},
tikzcd cap/.tip={Glyph[glyph math command=leftarrow]},
tikzcd to reversed/.tip={Glyph[glyph math command=leftarrowtail]},
tikzcd bar/.tip={Glyph[glyph math command=mapsfrom]},
tikzcd left hook/.tip={Glyph[glyph math command=hookleftarrow]},
tikzcd right hook/.tip={Glyph[glyph math command=hookleftarrow, swap]},
tikzcd implies/.tip={Glyph[glyph math command=Rightarrow, glyph length=1.2ex]},
tikzcd implies cap/.tip={Glyph[glyph math command=Leftarrow]},
tikzcd implies bar/.tip={Glyph[glyph math command=Mapsfrom]},
tikzcd double to/.tip={Glyph[glyph math command=twoheadrightarrow, glyph length=1.4ex]},
tikzcd left to/.tip={Glyph[glyph math command=rightharpoonup]},
tikzcd right to/.tip={Glyph[glyph math command=rightharpoonup,swap]},
double line/.append code={\tikzset{double distance={2*(height("$=$")-axis_height-rule_thickness)}}},
dashed/.code={\tikzset{dash pattern=on 0.8ex off 0.4ex, dash phase=0.8ex}},
squiggly/.default={pre length=1ex, post length=1ex}}}
% Default settings
\tikzcdset{
every arrow/.style={
/tikz/draw,
/tikz/line width=rule_thickness,
/tikz/commutative diagrams/rightarrow},
every label/.style={
/tikz/auto,
/tikz/font=\everymath\expandafter{\the\everymath\scriptstyle},
/tikz/inner sep=+0.5ex},
every cell/.style={
/tikz/shape={asymmetrical rectangle},
/tikz/inner xsep=+1ex,
/tikz/inner ysep=+0.85ex},
every matrix/.style={/tikz/inner sep=+0pt},
every diagram/.style={
/tikz/commutative diagrams/row sep=normal,
/tikz/commutative diagrams/column sep=normal,
/tikz/baseline=+0pt},
1-row diagram/.style={/tikz/baseline/.expanded=(\tikzcdmatrixname.base)},
math mode=true,
center yshift/.initial=axis_height,
row sep/huge/.initial=+3.6em,
row sep/large/.initial=+2.7em,
row sep/normal/.initial=+1.8em,
row sep/scriptsize/.initial=+1.35em,
row sep/small/.initial=+0.9em,
row sep/tiny/.initial=+0.45em,
column sep/huge/.initial=+4.8em,
column sep/large/.initial=+3.6em,
column sep/normal/.initial=+2.4em,
column sep/scriptsize/.initial=+1.8em,
column sep/small/.initial=+1.2em,
column sep/tiny/.initial=+0.6em,
crossing over clearance/.initial=+1.5ex,
shift left/.default=+0.56ex,
shift right/.default=1,
background color/.initial=white}
% ConTeXt-specific stuff
\pgfutil@IfUndefined{starttikzpicture}{}{%
\def\starttikzcd{\tikzcd}
\def\stoptikzcd{\endtikzcd}
\tikzcdset{
every matrix/.append code={%
\def\NC{\pgfmatrixnextcell}%
\def\NR{\pgfmatrixendrow}}}
}
\endinput
