Fix the latex representation of crystals tableaux

[kwankyu]

Fixes #38745

📝 Checklist

• The title is concise and informative.
• The description explains in detail what this PR is about.
• I have linked a relevant issue or discussion.
• I have created tests covering the changes.
• I have updated the documentation and checked the documentation preview.

⌛ Dependencies

#38339

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[tscrim]

It seems somewhat complicated to reuse s as a temporary variable compared to how it is used otherwise in the code. I think you should change the variable names around to avoid this.

[kwankyu]

The dependency is only there for me and for reviewers on mac.

After review, I may remove it.

[kwankyu]

It seems somewhat complicated to reuse s as a temporary variable compared to how it is used otherwise in the code. I think you should change the variable names around to avoid this.

OK. Done.

[tscrim]

LGTM. I am not sure about “a tex box” being correct (text?). Feel free to push a quick fix if this is indeed a typo. Afterwards (or if correct), please set to a positive review.

[kwankyu]

It is "TeX box": https://en.wikibooks.org/wiki/LaTeX/Boxes

Thanks!

[dcoudert]

With 10.5.beta7 on both macOS and fedora 39

sage -t --long --warn-long 25.9 --random-seed=223186311287983376594073409832509046315 src/sage/graphs/graph_latex.py
**********************************************************************
File "src/sage/graphs/graph_latex.py", line 1569, in sage.graphs.graph_latex.GraphLatex.tkz_picture
Failed example:
    latex(B)
Expected:
    \begin{tikzpicture}
    ...
    \newsavebox{\vertex}
    \sbox{\vertex}{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
    \raisebox{-.6ex}{$\begin{array}[b]{*{1}c}\cline{1-1}
    \lr{1}\\\cline{1-1}
    \end{array}$}
    }$}\Vertex[style={minimum size=1.0cm,draw=cv0,fill=cfv0,text=clv0,shape=circle},LabelOut=false,L=\usebox{\vertex},x=...,y=...]{v0}
    ...
    \end{tikzpicture}
Got:
    \begin{tikzpicture}[>=latex,line join=bevel,]
    %%
    \node (node_0) at (8.4845bp,299.68bp) [draw,draw=none] {${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}\raisebox{-.6ex}{$\begin{array}[b]{*{1}c}\cline{1-1}\lr{1}\\\cline{1-1}\end{array}$}}$};
      \node (node_1) at (8.4845bp,227.09bp) [draw,draw=none] {${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}\raisebox{-.6ex}{$\begin{array}[b]{*{1}c}\cline{1-1}\lr{2}\\\cline{1-1}\end{array}$}}$};
      \node (node_2) at (8.4845bp,154.49bp) [draw,draw=none] {${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}\raisebox{-.6ex}{$\begin{array}[b]{*{1}c}\cline{1-1}\lr{0}\\\cline{1-1}\end{array}$}}$};
      \node (node_3) at (8.4845bp,81.894bp) [draw,draw=none] {${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}\raisebox{-.6ex}{$\begin{array}[b]{*{1}c}\cline{1-1}\lr{\overline{2}}\\\cline{1-1}\end{array}$}}$};
      \node (node_4) at (8.4845bp,9.2981bp) [draw,draw=none] {${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}\raisebox{-.6ex}{$\begin{array}[b]{*{1}c}\cline{1-1}\lr{\overline{1}}\\\cline{1-1}\end{array}$}}$};
      \draw [blue,->] (node_0) ..controls (8.4845bp,280.16bp) and (8.4845bp,261.7bp)  .. (node_1);
      \definecolor{strokecol}{rgb}{0.0,0.0,0.0};
      \pgfsetstrokecolor{strokecol}
      \draw (16.985bp,263.38bp) node {$1$};
      \draw [red,->] (node_1) ..controls (8.4845bp,207.56bp) and (8.4845bp,189.1bp)  .. (node_2);
      \draw (16.985bp,190.79bp) node {$2$};
      \draw [red,->] (node_2) ..controls (8.4845bp,134.97bp) and (8.4845bp,116.51bp)  .. (node_3);
      \draw (16.985bp,118.19bp) node {$2$};
      \draw [blue,->] (node_3) ..controls (8.4845bp,62.37bp) and (8.4845bp,43.911bp)  .. (node_4);
      \draw (16.985bp,45.596bp) node {$1$};
    %
    \end{tikzpicture}

[kwankyu]

You must have installed the optional package dot2tex to your systems. That changes the behavior of the graph drawing mechanism. There is nothing wrong with the doctests.

Perhaps we need doctesting mechanism that negates # optional - dot2tex...

[kwankyu]

@dcoudert your issue is "fixed" by #38810 with # optional - !dot2tex