diff options
Diffstat (limited to 'Master/texmf-dist/tex/latex/dynkin-diagrams')
| -rw-r--r-- | Master/texmf-dist/tex/latex/dynkin-diagrams/dynkin-diagrams.sty | 402 |
1 files changed, 206 insertions, 196 deletions
diff --git a/Master/texmf-dist/tex/latex/dynkin-diagrams/dynkin-diagrams.sty b/Master/texmf-dist/tex/latex/dynkin-diagrams/dynkin-diagrams.sty index 7cb271cf539..0a6191599fa 100644 --- a/Master/texmf-dist/tex/latex/dynkin-diagrams/dynkin-diagrams.sty +++ b/Master/texmf-dist/tex/latex/dynkin-diagrams/dynkin-diagrams.sty @@ -1,6 +1,6 @@ % The Dynkin Diagrams package. % -% Version 3.1415926535897 +% Version 3.14159265358979 % % This package draws Dynkin diagrams in LaTeX % documents, using the TikZ package. @@ -13,8 +13,7 @@ % Released under the LaTeX Project Public License v1.3c or later, see % http://www.latex-project.org/lppl.txt \NeedsTeXFormat{LaTeX2e}[1994/06/01] -\ProvidesPackage{dynkin-diagrams}[2020/03/19 Dynkin diagrams] -\RequirePackage{etex} +\ProvidesPackage{dynkin-diagrams}[2020/04/30 Dynkin diagrams] \RequirePackage{tikz} \RequirePackage{xstring} \RequirePackage{xparse} @@ -40,7 +39,7 @@ %%% Application programming interface: %%% See dynkin-diagrams.tex file for examples of use. %%% -\ifx\draw@lie@hasse@root\undefined +\ifx\draw@lie@hasse@root\undefined\relax \pgfdeclarelayer{background} \pgfdeclarelayer{Dynkin behind} \pgfsetlayers{background,Dynkin behind,main} @@ -94,10 +93,13 @@ \dynkin@restore{}% }% +\NewDocumentCommand\dynkin@check@if@in@tikZ{}% +{\ifdefined\filldraw\relax\else\dynkin@error@not@in@tikz\fi} + \NewDocumentCommand\dynkin{O{}mO{0}m}% {% \dynkin@save{}% -\ifdefined\filldraw% +\ifdefined\filldraw\relax% \@dynkin[vertical shift=0,#1]{#2}[#3]{#4}% \else% \tikz[baseline=(origin.base)]{\@dynkin[#1]{#2}[#3]{#4}}% @@ -208,7 +210,7 @@ \NewDocumentCommand\dynkinRefreshRoots{}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% +??? \dynkin@override@label@directions{}% \dynkin@draw@all@roots{}% \ifdynkin@label@the@roots% @@ -285,8 +287,8 @@ %% Starred form uses the alternate label location. \NewDocumentCommand\dynkinLabelRoot{smm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% - \ifnum\dynkin@nodes<#2% + \dynkin@check@if@in@tikZ% + \ifnum\dynkin@nodes<#2\relax% \ClassError{Dynkin diagrams}% {Unrecognized root: ``#2'' found when labelling Dynkin diagram @@ -345,41 +347,41 @@ \NewDocumentCommand\dynkinBrace{somm}%[text]{start}{end} {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% + \IfBooleanTF{#1}% + {% + \xdef\braceYshift{1mm}% + }% + {% + \xdef\braceYshift{-1mm}% + }% + \draw[% + decoration=% + {% + brace, + \IfBooleanF{#1}{mirror}, + raise=0.05cm, + },% + decorate]% + ($(root #3)-({\dynkin@root@radius}, \IfBooleanTF{#1}% - {% - \xdef\braceYshift{1mm}% - }% - {% - \xdef\braceYshift{-1mm}% - }% - \draw[% - decoration=% - {% - brace, - \IfBooleanF{#1}{mirror}, - raise=0.05cm, - },% - decorate]% - ($(root #3)-({\dynkin@root@radius}, - \IfBooleanTF{#1}% - {{-\dynkin@root@radius}}% - {{\dynkin@root@radius}}% - )$) - -- - ($(root #4)+({\dynkin@root@radius}, - \IfBooleanTF{#1}% - {{\dynkin@root@radius}}% - {{-\dynkin@root@radius}}% - )$) - node% - [% - pos=0.5,% - anchor=\IfBooleanTF{#1}{south}{north},% - yshift=\braceYshift,% - /Dynkin diagram/text style% - ]% - {\IfValueT{#2}{\(#2\)}};% + {{-\dynkin@root@radius}}% + {{\dynkin@root@radius}}% + )$) + -- + ($(root #4)+({\dynkin@root@radius}, + \IfBooleanTF{#1}% + {{\dynkin@root@radius}}% + {{-\dynkin@root@radius}}% + )$) + node% + [% + pos=0.5,% + anchor=\IfBooleanTF{#1}{south}{north},% + yshift=\braceYshift,% + /Dynkin diagram/text style% + ]% + {\IfValueT{#2}{\(#2\)}};% }% \NewDocumentCommand\dynkin@involution{somD<>{}om}% @@ -458,7 +460,7 @@ %% Prints the labels on the Dynkin diagram,in the given ordering. Uses the default labels if ``label'' is set without a list of ``labels'' being set. \newcommand{\dynkinPrintLabels}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfStrEq{\dynkin@label@list}{}{% \foreach \i in {1,...,\the\dynkin@nodes}{\dynkinLabelRoot{\i}{\i}}% \ifdynkin@is@extended% @@ -499,7 +501,7 @@ % Print alternate location labels. \newcommand{\dynkinPrintLabelsStar}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfStrEq{\dynkin@label@list@star}{}{% \foreach \i in {1,...,\the\dynkin@nodes}{\dynkinLabelRoot*{\i}{\i}}% \ifdynkin@is@extended% @@ -571,7 +573,7 @@ %% The starred form accepts <n> in the Bourbaki ordering. \NewDocumentCommand\dynkinCrossRootMark{sO{}m}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootNumber{#3}% @@ -587,7 +589,7 @@ %% The starred form accepts <n> in the Bourbaki ordering. \NewDocumentCommand\dynkinHeavyCrossRootMark{sO{}m}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootNumber{#3}% @@ -611,7 +613,7 @@ %% The starred form accepts <n> in the Bourbaki ordering. \NewDocumentCommand\dynkinHollowRootMark{sO{}m}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootNumber{#3}% @@ -627,7 +629,7 @@ %% The starred form accepts <n> in the Bourbaki ordering. \NewDocumentCommand\dynkinDoubleHollowRootMark{sO{}m}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootNumber{#3}% @@ -641,7 +643,7 @@ \NewDocumentCommand\dynkinDrawSolidRootMark{O{}m}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \fill[/Dynkin diagram,*,#1] (#2) circle (\dynkin@root@radius);% }% @@ -650,7 +652,7 @@ %% The starred form accepts <n> in the Bourbaki ordering. \NewDocumentCommand\dynkinSolidRootMark{sO{}m}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootNumber{#3}% @@ -667,7 +669,7 @@ %% The starred form accepts <n> in the Bourbaki ordering. \NewDocumentCommand\dynkinTensorRootMark{sO{}m}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootNumber{#3}% @@ -692,7 +694,7 @@ % The starred form accepts <n> in the Bourbaki ordering. \NewDocumentCommand\dynkinRootMark{smm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \IfStrEqCase{#2}% @@ -731,7 +733,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteSingleEdge{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -754,7 +756,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinIndefiniteSingleEdge{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -784,7 +786,7 @@ %%% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinRightFold{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \dynkinFold*[/Dynkin diagram,fold right style,#2]{#3}{#4}% @@ -799,7 +801,7 @@ %%% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinLeftFold{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \dynkinFold*[/Dynkin diagram,fold left style,#2]{#3}{#4}% @@ -814,7 +816,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinFold{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -838,7 +840,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteRightDownArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -859,7 +861,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinIndefiniteRightDownArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -890,7 +892,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteRightUpArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -911,7 +913,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinIndefiniteRightUpArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -943,7 +945,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteLeftDownArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -964,7 +966,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinIndefiniteLeftDownArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -995,7 +997,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteLeftUpArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1016,7 +1018,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinIndefiniteLeftUpArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1048,7 +1050,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteSemiCircle{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1069,7 +1071,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinIndefiniteSemiCircle{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1101,7 +1103,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteDoubleRightDownArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1139,7 +1141,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteDoubleUpRightArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1177,7 +1179,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteDoubleUpLeftArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1217,7 +1219,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteDoubleDownRightArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1257,7 +1259,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteDoubleRightUpArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1294,7 +1296,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteDoubleLeftDownArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1332,7 +1334,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteDoubleDownLeftArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1371,7 +1373,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteDoubleLeftUpArc{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1409,7 +1411,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteDoubleDownRightSemiCircle{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1449,7 +1451,7 @@ %%% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteTripleDownRightSemiCircle{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1498,7 +1500,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteDoubleUpRightSemiCircle{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1536,7 +1538,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinEdge{sO{}mmm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#4}{#5}% @@ -1564,7 +1566,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinEdgeArrow{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \ifdynkin@arrows% \IfBooleanTF{#1}% {% @@ -1576,24 +1578,32 @@ }% \begin{pgfonlayer}{Dynkin behind}%% \ifdynkin@reverse@arrows% - \path[ - /Dynkin diagram/arrow shape, - tips] - ($(\dynkin@root@name \the\@dynkin@to@root)$) - -- - ($.5*(\dynkin@root@name \the\@dynkin@to@root)% - +.5*(\dynkin@root@name \the\@dynkin@from@root) - -(.5*\dynkin@arrow@width,0)$);% + \node (from-arrow-node) + at + ($(\dynkin@root@name \the\@dynkin@to@root)$){};% + \node (to-arrow-node) + at + ($(\dynkin@root@name \the\@dynkin@from@root)$){};% \else% - \path[ + \node (from-arrow-node) + at + ($(\dynkin@root@name \the\@dynkin@from@root)$){};% + \node (to-arrow-node) + at + ($(\dynkin@root@name \the\@dynkin@to@root)$){};% + \fi% + \node (middle-node) + at + ($.5*(from-arrow-node)+.5*(to-arrow-node)$){};% + \node (arrow-node) + at + ($(middle-node)!.5*\dynkin@arrow@width!(to-arrow-node)$) {};% + \path[ /Dynkin diagram/arrow shape, tips] - ($(\dynkin@root@name \the\@dynkin@from@root)$) - -- - ($.5*(\dynkin@root@name \the\@dynkin@from@root)+% - .5*(\dynkin@root@name \the\@dynkin@to@root) - +(.5*\dynkin@arrow@width,0)$);% - \fi% + ($(from-arrow-node)$) + -- + ($(arrow-node)$);% \end{pgfonlayer}%% \fi% }% @@ -1678,7 +1688,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinDefiniteDoubleEdge{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1764,7 +1774,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinTripleEdge{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -1859,7 +1869,7 @@ %% The starred form accepts <p> and <q> in the Bourbaki ordering. \NewDocumentCommand\dynkinQuadrupleEdge{sO{}mm}% {% - \ifdefined\filldraw\else\dynkin@error@not@in@tikz\fi% + \dynkin@check@if@in@tikZ% \IfBooleanTF{#1}% {% \convertRootPair{#3}{#4}% @@ -2616,7 +2626,7 @@ {% \dynkin@first@root@no=#1\relax% \dynkin@second@root@no=#2\relax% - \ifnum\the\dynkin@first@root@no<\the\dynkin@second@root@no% + \ifnum\the\dynkin@first@root@no<\the\dynkin@second@root@no\relax% \listxadd\dynkin@indefinite@edge@list{\the\dynkin@first@root@no,\the\dynkin@second@root@no}% \else% \listxadd\dynkin@indefinite@edge@list{\the\dynkin@second@root@no,\the\dynkin@first@root@no}% @@ -2652,7 +2662,7 @@ % Next we sort the order, since edges are stored as undirected edges. \global\dynkin@first@root@no=\@dynkin@from@root\relax% \global\dynkin@second@root@no=\@dynkin@to@root\relax% - \ifnum\the\dynkin@second@root@no<\the\dynkin@first@root@no% + \ifnum\the\dynkin@second@root@no<\the\dynkin@first@root@no\relax% \global\dynkin@first@root@no=\@dynkin@to@root\relax% \global\dynkin@second@root@no=\@dynkin@from@root\relax% \fi% @@ -2680,7 +2690,7 @@ {% \dynkin@Root@Numbrpo=\dynkin@Root@Numbr\relax% \advance\dynkin@Root@Numbrpo by 1\relax% - \ifnum\the\dynkin@Root@Numbr<\the\dynkin@nodes% + \ifnum\the\dynkin@Root@Numbr<\the\dynkin@nodes\relax% \dynkin@set@edge@indefinite{\dynkin@Root@Numbr}{\dynkin@Root@Numbrpo}% \fi% }% @@ -2848,7 +2858,7 @@ \NewDocumentCommand\dynkin@grok@series{}% {% \StrLen{\dynkin@series}[\dynkin@lenny] - \ifnum\dynkin@lenny>1% + \ifnum\dynkin@lenny>1\relax% \dynkin@error@series% \fi% \edef\series{\dynkin@series}% @@ -2982,7 +2992,7 @@ {}{% \global\dynkin@Satake@diagramfalse% \ifdynkin@is@extended% - \ifnum\dynkin@ply=4% + \ifnum\dynkin@ply=4\relax% \gdef\dynkin@string{dddd.d.ddddd} \else% \gdef\dynkin@string{ddd.dddd}% @@ -3171,8 +3181,8 @@ {D}{}% {E}% {% - \ifnum\dynkin@nodes=5% - \ifnum\dynkin@rank=6% + \ifnum\dynkin@nodes=5\relax% + \ifnum\dynkin@rank=6\relax% \IfStrEq{\dynkin@twisted@series}{2}% {% }% @@ -3183,11 +3193,11 @@ \dynkin@error@rank% \fi% \else - \ifnum\dynkin@rank=6% + \ifnum\dynkin@rank=6\relax% \else% - \ifnum\dynkin@rank=7% + \ifnum\dynkin@rank=7\relax% \else% - \ifnum\dynkin@rank=8% + \ifnum\dynkin@rank=8\relax% \else% \IfStrEq{\dynkin@ordering}{Kac}{}{\dynkin@error@rank}% \fi% @@ -3197,14 +3207,14 @@ }% {F}% {% - \ifnum\dynkin@rank=4% + \ifnum\dynkin@rank=4\relax% \else% \dynkin@error@rank% \fi% }% {G}% {% - \ifnum\dynkin@rank=2% + \ifnum\dynkin@rank=2\relax% \else% \dynkin@error@rank% \fi% @@ -3228,11 +3238,11 @@ %% let \dynkin@Root@Number be <r>. \NewDocumentCommand\swapRootIfInLastTwoRoots{m}% {% - \ifnum\dynkin@rank>1% - \ifnum\dynkin@rank=#1% + \ifnum\dynkin@rank>1\relax% + \ifnum\dynkin@rank=#1\relax% \global\dynkin@Root@Number=\the\dynkin@rank@minus@one\relax% \else% - \ifnum\dynkin@rank@minus@one=#1% + \ifnum\dynkin@rank@minus@one=#1\relax% \global\dynkin@Root@Number=\the\dynkin@rank\relax% \else% \global\dynkin@Root@Number=#1\relax% @@ -3246,11 +3256,11 @@ \NewDocumentCommand\swap@if@in@last@two{mm}% {% \global\dynkin@r=#2\relax% - \ifnum\dynkin@r=#1% + \ifnum\dynkin@r=#1\relax% \global\advance \dynkin@r by -1\relax% \else% \global\advance \dynkin@r by 1\relax% - \ifnum\dynkin@r=#1% + \ifnum\dynkin@r=#1\relax% \else% \global\advance \dynkin@r by -1\relax% \fi% @@ -3304,7 +3314,7 @@ }% {E}% {% - \ifnum#2=6% + \ifnum#2=6\relax% \IfStrEqCase{#3}% {% {Adams}% @@ -3337,7 +3347,7 @@ }% [\global#5=#4\relax]% \else% - \ifnum#2=7% + \ifnum#2=7\relax% \IfStrEqCase{#3}% {% {Adams}% @@ -3371,7 +3381,7 @@ }% [\global#5=#4\relax]% \else% - \ifnum#2=8% + \ifnum#2=8\relax% \IfStrEqCase{#3}% {% {Adams}% @@ -3483,7 +3493,7 @@ }% {E}% {% - \ifnum#2=6% + \ifnum#2=6\relax% \IfStrEqCase{#4}% {% {Adams}% @@ -3517,7 +3527,7 @@ }% [\global#5=#3\relax]% \else% - \ifnum#2=7% + \ifnum#2=7\relax% \IfStrEqCase{#4}% {% {Adams}% @@ -3547,7 +3557,7 @@ }% [\global#5=#3\relax]% \else% - \ifnum#2=8% + \ifnum#2=8\relax% \IfStrEqCase{#4}% {% {Adams}% @@ -3661,7 +3671,7 @@ {% \global\dynkin@Root@Number=#1\relax% \global\advance\dynkin@Root@Number by 1\relax% - \ifnum\dynkin@Root@Number>\the\dynkin@rank% + \ifnum\dynkin@Root@Number>\the\dynkin@rank\relax% \global\dynkin@Root@Number=1\relax% \fi% }% @@ -3692,7 +3702,7 @@ \ifdynkin@is@twisted% \global\dynkin@Root@Number=#1\relax% \else% - \ifnum\dynkin@rank=6% + \ifnum\dynkin@rank=6\relax% \IfStrEqCase{\dynkin@ordering}% {% {Adams}{\global\dynkin@Root@Number=\stringCharacterInPosition{152436}{#1}\relax}% @@ -3702,7 +3712,7 @@ }% [\global\dynkin@Root@Number=#1\relax]% \else% - \ifnum\dynkin@rank=7% + \ifnum\dynkin@rank=7\relax% \IfStrEqCase{\dynkin@ordering}% {% {Adams}{\global\dynkin@Root@Number=\stringCharacterInPosition{6354217}{#1}\relax}% @@ -3712,7 +3722,7 @@ }% [\global\dynkin@Root@Number=#1\relax]% \else% - \ifnum\dynkin@rank=8% + \ifnum\dynkin@rank=8\relax% \IfStrEqCase{\dynkin@ordering}% {% {Adams}{\global\dynkin@Root@Number=\stringCharacterInPosition{13245678}{#1}\relax}% @@ -3769,7 +3779,7 @@ {% \test@bit@a#1\relax% \test@bit@b#2\relax% - \ifnum\test@bit@a=0% + \ifnum\test@bit@a=0\relax% \global\bitfalse% \else% \global\test@bit@moretrue% @@ -3797,11 +3807,11 @@ \xdef\replacementRightString{} \NewDocumentCommand\replaceNthChar{mmm}% {% - \ifnum#2<1 + \ifnum#2<1\relax% \else% \StrLen{#1}[\thatreplaceNthCounter]% \replaceNthCounter\thatreplaceNthCounter\relax% - \ifnum\replaceNthCounter<#2 + \ifnum\replaceNthCounter<#2\relax% \else% \replacementN#2\relax% \advance\replacementN by -1\relax% @@ -4265,19 +4275,19 @@ %% Draws an A series Dynkin diagram. \NewDocumentCommand\Adynkin{}% {% - \ifnum\dynkin@rank=1% + \ifnum\dynkin@rank=1\relax% \global\dynkin@ply=1\relax% \fi% % % Create the roots. - \ifnum\dynkin@ply>1% - \ifnum\dynkin@ply=2% + \ifnum\dynkin@ply>1\relax% + \ifnum\dynkin@ply=2\relax% \dynkin@jump{1}% \fi% \dynkinPlaceRootHere*{1}{above}{below right}% \dynkin@fold{1}{\the\dynkin@rank}% \else% \dynkinPlaceRootHere*{1}{below}{above}% - \ifnum\dynkin@rank>1% + \ifnum\dynkin@rank>1\relax% \dynkin@pipe{1}% {\the\dynkin@rank}% {east}{below}{above}% @@ -4288,9 +4298,9 @@ %% Draw a B series Dynkin diagram. \NewDocumentCommand\Bdynkin{}% {% - \ifnum\dynkin@rank<2 - \Adynkin - \else + \ifnum\dynkin@rank<2\relax% + \Adynkin% + \else% \ifdynkin@Coxeter% \Adynkin% \dynkinEdgeLabel% @@ -4298,8 +4308,8 @@ {\the\dynkin@rank}{4}% \else % Create the roots. - \ifnum\dynkin@ply>1% - \ifnum\dynkin@rank>3% + \ifnum\dynkin@ply>1\relax% + \ifnum\dynkin@rank>3\relax% \dynkin@jump{1}% \dynkinPlaceRootHere*{1}{above}{below right}% \dynkinPlaceRootRelativeTo*% @@ -4313,7 +4323,7 @@ {\the\dynkin@rank@minus@one}{\the\dynkin@rank}% \dynkinEdge*{SingleEdge}{1}{2}% \else% - \ifnum\dynkin@rank=2% + \ifnum\dynkin@rank=2\relax% \dynkin@jump{1}% \dynkinPlaceRootHere*{1}{above}{below right}% \dynkinPlaceRootRelativeTo*{2}{1}% @@ -4342,7 +4352,7 @@ {\the\dynkin@rank}% \fi% \ifdynkin@arrows% - \ifnum\dynkin@ply>1% + \ifnum\dynkin@ply>1\relax% \dynkinLeftFold*{1}{\the\dynkin@rank}% \fi% \fi% @@ -4371,8 +4381,8 @@ { % Create the roots. \ifdynkin@is@extended% - \ifnum\dynkin@ply>1% - \ifnum\dynkin@rank=4% + \ifnum\dynkin@ply>1\relax% + \ifnum\dynkin@rank=4\relax% \dynkinPlaceRootRelativeTo*% {2}{0}% {southeastfold}% @@ -4389,7 +4399,7 @@ {left}{above left}% \else% \ifdynkin@left@fold% - \ifnum\dynkin@rank=4% + \ifnum\dynkin@rank=4\relax% \dynkinPlaceRootRelativeTo*% {2}{0}% {southeastfold}% @@ -4405,7 +4415,7 @@ {southwestfold}% {left}{above left}% \else% - \ifnum\dynkin@rank=4% + \ifnum\dynkin@rank=4\relax% \ifdynkin@right@fold% \dynkinPlaceRootRelativeTo*% {2}{0}% @@ -4432,13 +4442,13 @@ \dynkinMoveToRoot*{2}% \else \dynkinPlaceRootHere*{1}{below}{above} - \ifnum\dynkin@rank=4% + \ifnum\dynkin@rank=4\relax% \ifdynkin@right@fold% \dynkinPlaceRootRelativeTo*% {2}{1}% {east}{below}{above}% \else% - \ifnum\dynkin@ply>1% + \ifnum\dynkin@ply>1\relax% \dynkinPlaceRootRelativeTo*% {2}{1}% {east}% @@ -4457,17 +4467,17 @@ {below}{above}% \fi% \fi - \ifnum\dynkin@rank>2% - \ifnum\dynkin@rank>5% + \ifnum\dynkin@rank>2\relax% + \ifnum\dynkin@rank>5\relax% \dynkinPlaceRootRelativeTo*{3}{2}{east}{below}{above}% \else% - \ifnum\dynkin@ply>1% + \ifnum\dynkin@ply>1\relax% \dynkinPlaceRootRelativeTo*% {3}{2}% {east}% {below left}{above left}% \else% - \ifnum\dynkin@rank=5% + \ifnum\dynkin@rank=5\relax% \ifdynkin@right@fold% \dynkinPlaceRootRelativeTo*% {3}{2}% @@ -4487,14 +4497,14 @@ \fi% \fi% \fi% - \ifnum\dynkin@rank@minus@three>3% + \ifnum\dynkin@rank@minus@three>3\relax% \dynkin@pipe% {3}{\the\dynkin@rank@minus@three}% {east}% {below}{above}% \fi% - \ifnum\dynkin@rank@minus@two>3% - \ifnum\dynkin@ply>1% + \ifnum\dynkin@rank@minus@two>3\relax% + \ifnum\dynkin@ply>1\relax% \dynkinPlaceRootRelativeTo*% {\dynkin@rank@minus@two}% {\dynkin@rank@minus@three}% @@ -4519,7 +4529,7 @@ {\dynkin@rank@minus@two}% {\dynkin@rank@minus@three}% \fi% - \ifnum\dynkin@ply=1% + \ifnum\dynkin@ply=1\relax% \ifdynkin@right@fold% \dynkinPlaceRootRelativeTo*% {\the\dynkin@rank@minus@one}% @@ -4557,13 +4567,13 @@ \NewDocumentCommand\Ddynkin@edges{}% {% % Draw the edges. - \ifnum\dynkin@ply>1% + \ifnum\dynkin@ply>1\relax% \ifdynkin@is@extended% \dynkinEdge*{RightUpArc}{1}{2}% \else% \dynkinEdge*{SingleEdge}{1}{2}% \fi% - \ifnum\dynkin@rank>4% + \ifnum\dynkin@rank>4\relax% \dynkinEdge*{SingleEdge}{2}{3}% \fi% \dynkinEdge*{LeftDownArc}% @@ -4581,7 +4591,7 @@ \fi% \fi% \else% - \ifnum\dynkin@rank=4% + \ifnum\dynkin@rank=4\relax% \else% \dynkinEdge*{SingleEdge}{2}{3}% \fi% @@ -4685,9 +4695,9 @@ %% Draws a D series Dynkin diagram. \NewDocumentCommand\Ddynkin{}% {% - \ifnum\dynkin@rank>3% - \ifnum\dynkin@rank=4% - \ifnum\dynkin@ply=3% + \ifnum\dynkin@rank>3\relax% + \ifnum\dynkin@rank=4\relax% + \ifnum\dynkin@ply=3\relax% \DthreePly% \else% \Ddynkin@roots% @@ -4700,9 +4710,9 @@ \else% \gdef\dynkin@series{A}% \Adynkin% - \ifnum\dynkin@ply>1% + \ifnum\dynkin@ply>1\relax% \ifdynkin@arrows% - \ifnum\dynkin@rank=1% + \ifnum\dynkin@rank=1\relax% \else% \dynkinLeftFold*{1}{\the\dynkin@rank}% \fi% @@ -4725,7 +4735,7 @@ {east}% {below}{above right}% \ifdynkin@is@extended% - \ifnum\dynkin@rank=6% + \ifnum\dynkin@rank=6\relax% \dynkinPlaceRootRelativeTo*% {2}{4}% {north}% @@ -4756,11 +4766,11 @@ \dynkinEdge*{SingleEdge}{3}{4} \dynkinEdge*{SingleEdge}{4}{2} \ifdynkin@is@extended% - \ifnum\dynkin@rank=6% + \ifnum\dynkin@rank=6\relax% \dynkinPlaceRootRelativeTo*{0}{2}{north}{right}{above}% \dynkinEdge*{SingleEdge}{0}{2}% \else% - \ifnum\dynkin@rank=7% + \ifnum\dynkin@rank=7\relax% \dynkinPlaceRootRelativeTo*% {0}{1}% {west}% @@ -4780,10 +4790,10 @@ %% Draws an E series Dynkin diagram not folded. \newcommand*{\Edynkin@unfolded}% { - \ifnum\dynkin@rank>8% + \ifnum\dynkin@rank>8\relax% % We have to work in Kac ordering directly. \dynkinPlaceRootHere*{1}{below}{above}% - \ifnum\dynkin@rank>1% + \ifnum\dynkin@rank>1\relax% \dynkin@pipe% {1}{\the\dynkin@rank@minus@one}% {east}{below}% @@ -4802,8 +4812,8 @@ %% Draws a folded E6, affine E6 or affine E7 Dynkin diagram. \NewDocumentCommand\Edynkin@folded{}% {% - \ifnum\dynkin@rank=6% - \ifnum\dynkin@ply=2\ESixTwoPly\else\ESixThreePly\fi% + \ifnum\dynkin@rank=6\relax% + \ifnum\dynkin@ply=2\relax\ESixTwoPly\else\ESixThreePly\fi% \else% \extendedESevenFolded% \fi% @@ -4905,7 +4915,7 @@ \ifnum\dynkin@rank=6\relax% \Edynkin@folded% \else% - \ifnum\dynkin@rank=7 + \ifnum\dynkin@rank=7\relax \ifdynkin@is@extended \Edynkin@folded% \else% @@ -4994,7 +5004,7 @@ ($(\dynkin@root@name \the\dynkin@Root@Number)-(\dynkin@root@radius,0)$);% \end{pgfonlayer}%% \else% - \ifnum\dynkin@ply=4% + \ifnum\dynkin@ply=4\relax% \node (Dynkin current) at ($(Dynkin current)+(0,\dynkin@edge@length)$){};% \dynkinPlaceRootHere*{0}{left}{above}% \dynkinPlaceRootRelativeTo*{1}{0}{east}{right}{above}% @@ -5008,7 +5018,7 @@ \dynkinFold*{1}{3}% \else% \Adynkin{}% - \ifnum\dynkin@ply>1% + \ifnum\dynkin@ply>1\relax% \dynkinPlaceRootRelativeTo*{0}{1}{southwestfold}{left}{right}% \dynkinEdge*{LeftDownArc}{1}{0}% \dynkinEdge*{LeftUpArc}{\the\dynkin@rank}{0}% @@ -5019,7 +5029,7 @@ +.5*(\dynkin@root@name \the\dynkin@rank)$)% {};% \dynkinNorth% - \dynkinPlaceRootHere*{0}{below}{above}% + \dynkinPlaceRootHere*{0}{above}{below}% \dynkinEdge*{SingleEdge}{0}{1}% \dynkinEdge*{SingleEdge}{\the\dynkin@rank}{0}% \fi% @@ -5030,7 +5040,7 @@ \NewDocumentCommand\extendedBthreePly{}% {% - \ifnum\dynkin@rank=3% + \ifnum\dynkin@rank=3\relax% \else% \ClassError% {Dynkin diagrams}% @@ -5096,7 +5106,7 @@ \dynkinEdge*{SingleEdge}{1}{2}% \fi% \dynkin@bmo=2\relax% - \ifnum\dynkin@rank>3% + \ifnum\dynkin@rank>3\relax% \foreach \dynkin@b in {3,...,\the\dynkin@rank@minus@one}% {% \dynkinPlaceRootRelativeTo*% @@ -5107,7 +5117,7 @@ \global\advance\dynkin@bmo by 1\relax% }% \fi% - \ifnum\dynkin@ply<3% + \ifnum\dynkin@ply<3\relax% \dynkinPlaceRootRelativeTo*% {\the\dynkin@rank}% {\the\dynkin@rank@minus@one}% @@ -5121,7 +5131,7 @@ {\the\dynkin@rank@minus@one}% {\the\dynkin@rank}{4}% \else% - \ifnum\dynkin@ply<3% + \ifnum\dynkin@ply<3\relax% \dynkinEdge*{DoubleEdge}% {\the\dynkin@rank@minus@one}% {\the\dynkin@rank}% @@ -5249,26 +5259,26 @@ %% Draws an D series affine Dynkin/Coxeter diagram. \NewDocumentCommand\extendedDdynkin{}% {% - \ifnum\dynkin@ply=4% - \ifnum\dynkin@rank=4% + \ifnum\dynkin@ply=4\relax% + \ifnum\dynkin@rank=4\relax% \DOneFourFourPly% \else% \DfourPly% \fi% \else% - \ifnum\dynkin@ply=3% + \ifnum\dynkin@ply=3\relax% \extendedDthreePly% \else% - \ifnum\the\dynkin@rank=1% + \ifnum\the\dynkin@rank=1\relax% \extendedAdynkin% \else% - \ifnum\the\dynkin@rank=4% + \ifnum\the\dynkin@rank=4\relax% \global\dynkin@hex@gridfalse \fi \dynkin@hop{1}% \dynkinPlaceRootHere*{0}{left}{above left}% \Ddynkin% - \ifnum\dynkin@ply=2% + \ifnum\dynkin@ply=2\relax% \dynkinEdge*{RightDownArc}{0}{2}% \else% \ifdynkin@left@fold% @@ -5277,7 +5287,7 @@ \dynkinEdge*{SingleEdge}{0}{2}% \fi% \fi% - \ifnum\the\dynkin@rank=4% + \ifnum\the\dynkin@rank=4\relax% \global\dynkin@hex@gridtrue \fi \fi% @@ -5294,7 +5304,7 @@ %% Draws an F series affine Dynkin/Coxeter diagram. \newcommand*{\extendedFdynkin}% {% - \ifnum\dynkin@ply=1% + \ifnum\dynkin@ply=1\relax% \dynkinPlaceRootHere*{0}{below}{above}% \dynkinEast% \Fdynkin% @@ -5408,13 +5418,13 @@ \dynkinEdge*{DoubleEdge}% {\the\dynkin@nodes}% {\the\dynkin@height@minus@one}% - \ifnum\dynkin@ply>1% + \ifnum\dynkin@ply>1\relax% \dynkinLeftFold*{0}{1}% \fi% \else% - \ifnum\dynkin@nodes>1% - \ifnum\dynkin@ply>1% - \ifnum\dynkin@height@minus@one>1% + \ifnum\dynkin@nodes>1\relax% + \ifnum\dynkin@ply>1\relax% + \ifnum\dynkin@height@minus@one>1\relax% \dynkin@jump{1}% \fi% \dynkinPlaceRootHere*{0}{below}{above}% @@ -5423,7 +5433,7 @@ {east}% {below left}{above}% \dynkinEdge*{DoubleEdge}{1}{0}% - \ifnum\dynkin@height@minus@one>1% + \ifnum\dynkin@height@minus@one>1\relax% \dynkin@fold{1}{\the\dynkin@height@minus@one}% \fi% \dynkinPlaceRootRelativeTo*% @@ -5439,7 +5449,7 @@ {east}% {below right}{above}% \dynkinEdge*{DoubleEdge}{1}{0}% - \ifnum\dynkin@height@minus@one>1% + \ifnum\dynkin@height@minus@one>1\relax% \dynkin@pipe{1}{\the\dynkin@height@minus@one}% {east}{below}{above}% \fi% @@ -5474,7 +5484,7 @@ {2}{\twistedDTwo}% {3}% {% - \ifnum\dynkin@rank=4% + \ifnum\dynkin@rank=4\relax% \dynkinPlaceRootHere*{0}{below}{above}% \dynkinPlaceRootRelativeTo*{1}{0}{east}{below}{above}% \dynkinPlaceRootRelativeTo*{2}{1}{east}{below}{above}% @@ -5494,14 +5504,14 @@ {% \dynkin@nodes@minus@one\dynkin@nodes\relax% \advance\dynkin@nodes@minus@one by -1\relax% - \ifnum\dynkin@rank<3% + \ifnum\dynkin@rank<3\relax% \ClassError{Dynkin diagrams}{D2 series twisted diagrams cannot have rank \the\dynkin@rank}{}% \fi% - \ifnum\dynkin@ply=1% + \ifnum\dynkin@ply=1\relax% \dynkinPlaceRootHere*{0}{below}{above}% \dynkinPlaceRootRelativeTo*{1}{0}{east}{below}{above}% \else% - \ifnum\dynkin@rank=3% + \ifnum\dynkin@rank=3\relax% \dynkin@jump{1}% \dynkinPlaceRootHere*{0}{above}{right}% \dynkinPlaceRootRelativeTo*{1}{0}{southwestfold}{left}{right}% @@ -5511,7 +5521,7 @@ \dynkinPlaceRootRelativeTo*{1}{0}{east}{above}{below}% \fi% \fi% - \ifnum\dynkin@ply=2% + \ifnum\dynkin@ply=2\relax% \dynkinEdge*{DoubleUpRightArc}{1}{0}% \else \dynkinEdge*{DoubleEdge}{1}{0}% @@ -5528,7 +5538,7 @@ \dynkinFold*{0}{2}% \fi% \else% - \ifnum\dynkin@rank>2% + \ifnum\dynkin@rank>2\relax% \dynkin@pipe{1}{\the\dynkin@nodes@minus@one}{east}{below}{above}% \fi% \dynkinPlaceRootRelativeTo*% |