letterswitharrows.dtx

% \iffalse meta-comment
%
%% File: letterswitharrows.dtx
%% Copyright 2019-2024 J. Maximilian Teegen
%%
%% 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 J. M. Teegen.
%%
%% This work consists of the file letterswitharrows.dtx and its
%% derived files letterswitharrows.sty and letterswitharrows.pdf.
%
%<*batch>
%<*gobble>
\ifx\jobname\relax\let\documentclass\undefined\fi
\ifx\documentclass\undefined
\csname fi\endcsname
%</gobble>
\input l3docstrip.tex
\keepsilent
\preamble
\endpreamble
\generate{\file{letterswitharrows.sty}{\from{letterswitharrows.dtx}{package}}}
\endbatchfile
%</batch>
%<*gobble>
\fi
\expandafter\ifx\csname @currname\endcsname\empty
\csname fi\endcsname
%</gobble>
%<*driver>
\documentclass[full]{l3doc}
\usepackage[presets={abc,ABC,cAcBcC,vec-cev},tweaks=false]{letterswitharrows}
\usepackage{amssymb}
\usepackage{hyperref}
\begin{document}
\DocInput{\jobname.dtx}
%% \PrintIndex
\PrintChanges
\end{document}
%</driver>
%<*gobble>
\fi
%</gobble>
% \fi

% \title{The \pkg{letterswitharrows} package}
% \author{Max Teegen\\ \href{mailto:tex@jmteegen.eu}{tex@jmteegen.eu}}
% \date{Released 2024-10-31}

% \maketitle

% \begin{documentation}
% This package provides math-mode commands for setting left and right arrows over mathematical symbols, so that the arrows dynamically scale with the symbols.
% Here is a sample: {\large\[ 
%   \vs \le \tv \in \vec{U_{\mathrlap\vrv}} \qquad \left\vert \vec{AB} \right\vert = \left\vert \cev{AB} \right\vert \qquad A \mathrel{\arrowoverset*[-2mu]{\between}} B
% \]}
% \iffalse Somehow embellishments don't work in the documentation!? \fi
% While it is possible to set arrows over longer strings of symbols, the focus lies on single characters.
%
% Only \textsc{pdf} output is supported. Output to \textsc{ps} is implemented, but rarely tested.
% For a wider range of formats there is \pkg{pgf}-based output.

% \section{Usage}
% The package provides the general-purpose \tn{arrowoverset} command, as well as some sets of predefined shorthand commands.

% \subsection{Presets}
% The presets are selected by passing them as options to the \verb|presets| package option.
% For instance, to define the \verb|abc| and the \verb|vec-cev| sets of commands you would load the package like so:
% \begin{verbatim}
%   \usepackage[presets={abc,vec-cev}]{letterswitharrows}
% \end{verbatim}
% By default, the \verb|abc|, \verb|ABC| and \verb|cAcBcC| presets are loaded.

% \DescribeOption{abc}
%   Passing \verb|abc| to the \verb|presets| option allows you to use the \tn{v\meta{char}}, \tn{\meta{char}v}, and \tn{v\meta{char}v} commands for all the lower-case letters \verb|a| through \verb|z| except for \verb|v|.
% \begin{function}{\v<char>,\<char>v,\vleft,\vright,\v<char>v}
%   For the letter \verb|v| the commands \tn{vleft} and \tn{vright} are provided.
%    \[ \va, \vb, \vc, \dv, \vmv, F_\tv \]
% \begin{verbatim}
%    \[ \va, \vb, \vc, \dv, \vmv, F_\tv \]
% \end{verbatim}
% \end{function}

% \DescribeOption{ABC}
%   Passing \verb|ABC| to the \verb|presets| option allows you to use the \tn{v\meta{CHAR}}, \tn{\meta{CHAR}v}, and \tn{v\meta{CHAR}v} commands for all the upper-case letters \verb|A| through \verb|Z|.
% \begin{function}{\v<CHAR>,\<CHAR>v}
%    \[ \vA, \vB, \vC, \Dv, \vEv, F_\Gv \]
% \begin{verbatim}
%   \[ \vA, \vB, \vC, \Dv, \vEv, F_\Gv \]
% \end{verbatim}
% \end{function}

% \DescribeOption{cAcBcC}
%   Passing \verb|cAcBcC| to the \verb|presets| option allows you to use the \tn{vc\meta{CHAR}}, \tn{c\meta{CHAR}v}, and \tn{vc\meta{CHAR}v} commands for all the upper-case letters \verb|A| through \verb|Z| to set arrows over \tn{mathcal}-letters.
% \begin{function}{\vc<CHAR>,\c<CHAR>v}
%    \[ \vcA, \vcB, \vcC, \cDv, \vcEv, F_\cGv \]
% \begin{verbatim}
%   \[ \vcA, \vcB, \vcC, \cDv, \vcEv, F_\cGv \]
% \end{verbatim}
% \end{function}

% \DescribeOption{vec-cev}
%   Passing \verb|vec-cev| to the \verb|presets| option (re)defines the \tn{vec}, \tn{cev}, and  \tn{vecev} commands.
% \begin{function}{\vec,\cev}
%   Unlike the other commands these do not automatically consume subsequent subscripts or \verb|'| tokens.
%   \[ \vec{\mathbf{x}} := \cev{AB}\]
% \begin{verbatim}
%   \[ \vec{\mathbf{x}} := \cev{AB}\]
% \end{verbatim}
% \end{function}

% \subsection{The \tn{arrowoverset} command}
% \begin{function}{\arrowoverset,\arrowoverset*}
% \begin{syntax}
%   |\arrowoverset | [\meta{xoffset}] [\meta{xscale}] [\meta{yoffset}] \Arg{math}
%   |\arrowoverset*| [\meta{xoffset}] [\meta{xscale}] [\meta{yoffset}] \Arg{math}
% \end{syntax}
% This command sets a right (or left if \tn{arrowoverset*} is used) arrow over \meta{math}.
% The base length of the arrow is the width of the \meta{math} multiplied by \meta{xscale}, which must be specified as a fraction \meta{num}\verb|/|\meta{denom}.
% The arrow is offset by \meta{xoffset} to the right, which must be a math skip expression, and by \meta{yoffset} to the top, which must be a skip expression.

% This command consumes subsequent subscripts or up to two primes \verb|'|. The former does not affect the length of the arrow.
% \end{function}

% \subsection{Other package options}
% \DescribeOption{pgf}
% If you specify the \verb|pgf| option, every arrow is drawn as a \verb|pgfpicture|. This requires the \pkg{pgf} package.
% Double arrows are not implemented in pgf mode.
% \begin{texnote}
%   You can set up custom arrow drawing code by redefining \cs{__jmt_lwa_arrow_draw:nnn}.
%   The command is expected to draw an arrow with its head at the current position. Its length should be \verb|#1| and it should be drawn at a font size of \verb|#2|pt.
%   If \verb|#3| is \verb|-| if the arrow should point rightwards and empty otherwise.
% \end{texnote}

% \DescribeOption{linewidth}
% Specifying \verb|linewidth=<value>| as a package option allows you to adjust the line width of the arrows to adjust for the weigth of the maths font you are using.
% The default value is \verb|linewidth=0.3|.


% \DescribeOption{tweaks}
% Specifying the \verb|tweaks| option applies per-letter scaling adjustments to some of the single-letter shorthands. This is enabled by default.
% These are specific to Latin Modern Math and subject to be changed on a whim. If you wish a more stable behaviour specify \verb|tweaks=false|.
% This documentation uses \verb|tweaks=false|.

% \end{documentation}
% \begin{implementation}
% \section{Implementation}

% \changes{2019/11/21}{2019/11/21}{Require \pkg{expl3} before \tn{ProvidesExplPackage}.}
%    \begin{macrocode}
\NeedsTeXFormat{LaTeX2e}
\RequirePackage{expl3}
\ProvidesExplPackage {letterswitharrows} {2024/10/31} {} {Draw arrows over math letters.}
\RequirePackage{xparse,l3keys2e,mathtools}
% TODO: I just use mathtools for mathrlap; replace.

%<@@=jmt_lwa>
\msg_new:nnn {letterswitharrows} {pdf-only} {Only~pdf~output~is~supported.}
\AtBeginDocument{
  \sys_if_output_pdf:F {
    \msg_warning:nn {letterswitharrows} {pdf-only}
  }
}
%    \end{macrocode}
% The drawing code.
% \changes{2021/07/10}{2021/07/19}{Implement adjustable linewidth.}
% \changes{2024/10/31}{2023/03/11}{Add double arrows.}
% \begin{macro}{\__@@_arrow_draw_special:nnn,\__@@_arrow_draw_double:nn,\__@@_arrow_draw_pgf:nnn,\__@@_arrow_left:nn,\__@@_arrow_right:nn,\__@@_arrow_double:nn}
%    \begin{macrocode}
\cs_new:Nn \__@@_arrow_draw_special:nnn % length, font size, sign
{
  \sys_if_output_pdf:TF {
    \tex_special:D {pdf:~
      q~
      1~J~1~j~
      1~0~0~\dim_to_decimal:n{#3#2pt/10}~0~0~cm~
      \fp_use:c{g_@@_line_width}~w~
      q~
      \dim_to_decimal:n{#3#2pt/10}~0~0~1~0~0~cm~
      1~0~0~1~-1~0~cm~
      0~1~m~
      .25~0~1~0~1~0~c~
      1~0~.25~0~0~-1~c~
      S~
      Q~
      Q~
      q~
      0~0~m~
      -1~0~0~1~0~0~cm~
      \fp_use:c{g_@@_line_width}~w~
      \dim_to_decimal:n{#3#1}~0~l~S~
      Q
    }
  } {
    \tex_special:D {"~
      1~setlinecap~1~setlinejoin~
      1~0~0~\dim_to_decimal:n{#3#2pt/10}~0~0~6~array~astore~concat~
      \fp_use:c{g_@@_line_width}~setlinewidth~
      gsave~
      \dim_to_decimal:n{#3#2pt/10}~0~0~1~0~0~6~array~astore~concat~
      1~0~0~1~-1~0~6~array~astore~concat~
      0~1~moveto~
      .25~0~1~0~1~0~curveto~
      1~0~.25~0~0~-1~curveto~
      stroke~
      grestore~
      0~0~moveto~
      -1~0~0~1~0~0~6~array~astore~concat~
      \dim_to_decimal:n{#3#1}~0~lineto~stroke
    }
  }
}


% TODO
% \tl_new:N \g_@@_pgf_arrow_style_tl
% \tl_set:Nn \g_@@_pgf_arrow_style_tl 
%  {Computer~Modern~Rightarrow[width=#2pt*2/10,length=#2pt/10,sharp]}

\cs_new:Nn \__@@_arrow_draw_pgf:nnn {
  \begin{pgfpicture}
    \pgfsetlinewidth{#2pt*\fp_use:c{g_@@_line_width}/10}
    \pgfsetarrowsstart
      {Computer~Modern~Rightarrow[width=#2pt*2/10,length=#2pt/10,sharp]}
    % \pgfsetarrowsstart{\tl_use:N \g_@@_pgf_arrow_style_tl}
    \pgfpathmoveto{\pgfpointorigin}
    \pgfpathlineto{\pgfpoint{-#3#1}{0cm}}
    \pgfusepath{stroke}
    \pgfresetboundingbox
  \end{pgfpicture}
}

\cs_new_eq:NN \__@@_arrow_draw:nnn \use_none:nnn


\cs_new:Nn \__@@_arrow_draw_double:nn
{
    \tex_special:D {pdf:~
        q~
        1~J~1~j~
        1~0~0~\dim_to_decimal:n{#2pt/10}~0~0~cm~
        \fp_use:c{g__@@_line_width}~w~
        q~
        \dim_to_decimal:n{#2pt/10}~0~0~1~0~0~cm~
        1~0~0~1~-1~0~cm~
        0~1~m~
        .25~0~1~0~1~0~c~
        1~0~.25~0~0~-1~c~
        S~
        Q~
        0~0~m~
        -1~0~0~1~0~0~cm~
        \dim_to_decimal:n{#1}~0~l~S~
        \dim_to_decimal:n{#2pt/10}~0~0~1~\dim_to_decimal:n{#1}~0~cm~
        1~0~0~1~-1~0~cm~
        0~1~m~
        .25~0~1~0~1~0~c~
        1~0~.25~0~0~-1~c~
        S~
        Q
    }
}


\cs_new:Nn \__@@_arrow_right:nn {
  \skip_horizontal:n {#1}
  \__@@_arrow_draw:nnn {#1} {#2} {}
}

\cs_new:Nn \__@@_arrow_left:nn {
  \__@@_arrow_draw:nnn {#1} {#2} {-}
  \skip_horizontal:n {#1}
}

\cs_new:Nn \__@@_arrow_double:nn {
  \skip_horizontal:n {#1}
  \__@@_arrow_draw_double:nn {#1} {#2}
}

%    \end{macrocode}
% \end{macro}

% The core functions.
% \changes{2020/05/08}{2020/05/08}{Reset tabskip. Fixes spacing in aligned environments}
% \begin{macro}{\__@@_arrow_overset_style:Nnncnnn,\__@@_arrow_overset:nnnnn}
%    \begin{macrocode}
\cs_new:Npn \__@@_arrow_overset_style:Nnncnnn #1#2#3#4#5#6#7 {
  \hbox_set:Nn \l_tmpa_box {$\m@th#1#3$}
  \dim_set:Nn \l_tmpa_dim {#2 pt/10}
  \vbox:n {
    \tex_lineskiplimit:D = \maxdimen
    \tex_baselineskip:D = 0pt
    \tex_tabskip:D = 0pt
    \tex_lineskip:D = \dim_eval:n {\l_tmpa_dim * 3/2 + #7}
    \tex_halign:D { ## \tex_cr:D
      \skip_horizontal:n {\l_tmpa_dim / 2}
      $
        \m@th
        #1
        \tex_mskip:D \muskip_eval:n {#5}
        \use:c {#4} {\dim_eval:n{\box_wd:N \l_tmpa_box * #6}} {#2}
      $
      \tex_cr:D
      \box_use_drop:N \l_tmpa_box
      \tex_cr:D
    }
  }
}

\cs_new:Nn \__@@_arrow_overset:nnnnn { % content, direction, xoffset, scale, yoffset
  \mathchoice {
    \__@@_arrow_overset_style:Nnncnnn 
      \displaystyle {\tf@size} {#1} {__@@_arrow_#2:nn} {#3} {#4} {#5}
  } {
    \__@@_arrow_overset_style:Nnncnnn 
      \textstyle {\tf@size} {#1} {__@@_arrow_#2:nn} {#3} {#4} {#5}
  } {
    \__@@_arrow_overset_style:Nnncnnn 
      \scriptstyle {\sf@size} {#1} {__@@_arrow_#2:nn} {#3} {#4} {#5}
  } {
    \__@@_arrow_overset_style:Nnncnnn 
      \scriptscriptstyle {\ssf@size} {#1} {__@@_arrow_#2:nn} {#3} {#4} {#5}
  }
}
%    \end{macrocode}
% \end{macro}

% \begin{macro}{\@@_arrow_overset:w,\arrowoverset}
% \changes{2019/02/04}{2019/02/04}{Subscript spacing adjustments}
%    \begin{macrocode}
\cs_new_protected:Npn \@@_arrow_overset:w {
  \c_group_begin_token
  \__@@_arrow_overset_aux:w
}

\cs_new:Nn \__@@_bool_convert:n {
    \IfBooleanTF {#1} {\c_true_bool} {\c_false_bool}
}

% This exp_args is necessary because _ generates the wrong token in expl3 syntax
\exp_args:NNx \NewDocumentCommand \__@@_arrow_overset_aux:w
  {s s O{0mu} O{1} O{0ex} m t' e{\char_generate:nn {95}{8}} t'} {
  \__@@_arrow_overset:nnnnn 
    {
      #6
      \exp_args:Nf\bool_if:nT{\__@@_bool_convert:n{#7} || \__@@_bool_convert:n{#9}} {
          \c_math_superscript_token {
            \scriptscriptstyle\IfBooleanT{#7}{\prime}\IfBooleanT{#9}{\prime}
        }
      } % TODO: Better positioning etc?
      \exp_args:Nf\IfValueT{\use:n#8} {
        \c_math_subscript_token {
          \mathrlap{#8}
        }
      }
    }
    {\IfBooleanTF{#1}{\IfBooleanTF{#2}{double}{left}}{right}}
    {#3} {#4} {#5}

  \exp_args:Nf\IfValueTF{\use:n#8}{ 
    % TODO: Better way to do this? This is all kinds of wrong.
    \hphantom{\c_math_subscript_token{#8}}
  } {}
  \c_group_end_token
}
\cs_set_eq:NN \arrowoverset \@@_arrow_overset:w
%    \end{macrocode}
% Replacements for \pkg{hyperref} bookmarks.
%    \begin{macrocode}
\AtBeginDocument{
  \@ifpackageloaded{hyperref}{
    \pdfstringdefDisableCommands{
      % Why does this only work with Expandable?
      \DeclareExpandableDocumentCommand \@@_arrow_overset:w {s o o o m} {
      \ifpdfstringunicode
        {#5 \IfBooleanTF{#1}{\unichar{"20D6}}{\unichar{"20D7}}}
        {#5}
      }
    }
  }{}
}
%    \end{macrocode}
% \end{macro}

% Package option handling.
% \begin{variable}{\g_@@_tweak_shortcuts_bool,\g_@@_selected_presets_prop}
% \begin{macro}{\__@@_arrow_draw:nnn}
%    \begin{macrocode}
\bool_new:N \g_@@_tweak_shortcuts_bool
\prop_new:N \g_@@_selected_presets_prop
\keys_define:nn {letterswitharrows} {
  mode .choice:,
  mode / special .code:n = {
    \cs_set_eq:NN \__@@_arrow_draw:nnn \__@@_arrow_draw_special:nnn
  },
  mode / pgf .code:n = {
    \RequirePackage{pgf}
    \ExplSyntaxOff\usepgflibrary{arrows.meta}\ExplSyntaxOn
    \cs_set_eq:NN \__@@_arrow_draw:nnn \__@@_arrow_draw_pgf:nnn
  },
  mode .initial:n = {special},
  pgf .meta:n = {mode = pgf},
  presets .multichoices:nn = {abc, ABC, cAcBcC, vec-cev} {
    \int_compare:nNnTF \l_keys_choice_int = 1 {
      \prop_gclear:N \g_@@_selected_presets_prop
    } {}
    \prop_gput:NVn \g_@@_selected_presets_prop \l_keys_choice_tl {}
  },
  presets .initial:n = {abc, ABC, cAcBcC},
  tweaks .bool_set:N = \g_@@_tweak_shortcuts_bool,
  tweaks .initial:n = {true},
  linewidth .fp_set:N = \g_@@_line_width,
  linewidth .initial:n = {.3},
}
\ProcessKeysPackageOptions{letterswitharrows}
%    \end{macrocode}
% \end{macro}
% \end{variable}

% \begin{macro}{\v<char>,\<char>v,\vleft,\vright,\v<char>v}
%    \begin{macrocode}
\prop_if_in:NnTF \g_@@_selected_presets_prop {abc} {
  \int_step_inline:nnn {1} {26} {
    \int_compare:nNnTF {#1} = {22} {
      \cs_new:cpx {vright} {
        \exp_not:N\@@_arrow_overset:w{v}
      }
      \cs_new:cpx {vleft} {
        \exp_not:N\@@_arrow_overset:w*{v}
      }
      \cs_new:cpx {vvv} {
        \exp_not:N\@@_arrow_overset:w**{v}
      }
    } {
      \cs_new:cpx {v\int_to_alph:n{#1}} {
        \exp_not:N\@@_arrow_overset:w{\int_to_alph:n{#1}}
      }
      \cs_new:cpx {\int_to_alph:n{#1}v} {
        \exp_not:N\@@_arrow_overset:w*{\int_to_alph:n{#1}}
      }
      \cs_new:cpx {v\int_to_alph:n{#1}v} {
        \exp_not:N\@@_arrow_overset:w**{\int_to_alph:n{#1}}
      }
    }
  }
} {}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\v<CHAR>,\<CHAR>v,\v<CHAR>v}
%    \begin{macrocode}
\prop_if_in:NnTF \g_@@_selected_presets_prop {ABC} {
  \int_step_inline:nnn {1} {26} {
    \cs_new:cpx {v\int_to_Alph:n{#1}} {
      \exp_not:N\@@_arrow_overset:w{\int_to_Alph:n{#1}}
    }
    \cs_new:cpx {\int_to_Alph:n{#1}v} {
      \exp_not:N\@@_arrow_overset:w*{\int_to_Alph:n{#1}}
    }
    \cs_new:cpx {v\int_to_Alph:n{#1}v} {
      \exp_not:N\@@_arrow_overset:w**{\int_to_Alph:n{#1}}
    }
  }
} {}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\vc<CHAR>,\c<CHAR>v,\vc<CHAR>v}
%    \begin{macrocode}
\prop_if_in:NnTF \g_@@_selected_presets_prop {cAcBcC} {
  \int_step_inline:nnn {1} {26} {
    \cs_new:cpx {vc\int_to_Alph:n{#1}} {
      \exp_not:N\@@_arrow_overset:w{\exp_not:N\mathcal{\int_to_Alph:n{#1}}}
    }
    \cs_new:cpx {c\int_to_Alph:n{#1}v} {
      \exp_not:N\@@_arrow_overset:w*{\exp_not:N\mathcal{\int_to_Alph:n{#1}}}
    }
    \cs_new:cpx {vc\int_to_Alph:n{#1}v} {
      \exp_not:N\@@_arrow_overset:w**{\exp_not:N\mathcal{\int_to_Alph:n{#1}}}
    }
  }
} {}
%    \end{macrocode}
% \end{macro}
% \begin{macro}{\vec,\cev,\vecev}
%    \begin{macrocode}
\prop_if_in:NnTF \g_@@_selected_presets_prop {vec-cev} {
  \RenewDocumentCommand \vec {m} {
    \@@_arrow_overset:w {#1} \scan_stop:
  }
  \DeclareDocumentCommand \cev {m} {
    \@@_arrow_overset:w* {#1} \scan_stop:
  }
  \DeclareDocumentCommand \vecev {m} {
    \@@_arrow_overset:w** {#1} \scan_stop:
  }
} {}
%    \end{macrocode}
% \end{macro}
% Some personal-preference tweaks.
% \changes{2019/02/04}{2019/02/04}{Tweaks for capital letters.}
%    \begin{macrocode}
\bool_if:NTF \g_@@_tweak_shortcuts_bool {
    \prop_if_in:NnTF \g_@@_selected_presets_prop {ABC} {
        \int_step_inline:nnn {1} {26} {
            \cs_set:cpx {v\int_to_Alph:n{#1}} {
                \exp_not:N\@@_arrow_overset:w[2.5mu][8/10]{\int_to_Alph:n{#1}}
            }
            \cs_set:cpx {\int_to_Alph:n{#1}v} {
                \exp_not:N\@@_arrow_overset:w*[2.5mu][7/10]{\int_to_Alph:n{#1}}
            }
            \cs_set:cpx {v\int_to_Alph:n{#1}v} {
                \exp_not:N\@@_arrow_overset:w**[1.5mu][9/10]{\int_to_Alph:n{#1}}
            }
        }
        \cs_set:cpn {vS} {
            \@@_arrow_overset:w[3mu][7/10]{S}
        }
        \cs_set:cpn {vSv} {
            \@@_arrow_overset:w**[2mu][9/10]{S}
        }
        \cs_set:cpn {vT} {
            \@@_arrow_overset:w[2mu][8/10]{T}
        }
        \cs_set:cpn {Tv} {
            \@@_arrow_overset:w*[1mu][8/10]{T}
        }
        \cs_set:cpn {vU} {
            \@@_arrow_overset:w[2mu][7/10]{U}
        }
        \cs_set:cpn {Uv} {
            \@@_arrow_overset:w*[2mu][7/10]{U}
        }
        \cs_set:cpn {vUv} {
            \@@_arrow_overset:w**[1.5mu][8/10]{U}
        }
        \cs_set:cpn {vV} {
            \@@_arrow_overset:w[2.5mu][7/10]{V}
        }
        \cs_set:cpn {Vv} {
            \@@_arrow_overset:w*[2mu][7/10]{V}
        }
        \cs_set:cpn {vX} {
            \@@_arrow_overset:w[3mu][7/10]{X}
        }
        \cs_set:cpn {vY} {
            \@@_arrow_overset:w[2mu][8/10]{Y}
        }
        \cs_set:cpn {Yv} {
            \@@_arrow_overset:w*[2mu][7/10]{Y}
        }
    } {}
    \prop_if_in:NnTF \g_@@_selected_presets_prop {cAcBcC} {
        \int_step_inline:nnn {1} {26} {
            \cs_set:cpx {vc\int_to_Alph:n{#1}} {
                \exp_not:N\@@_arrow_overset:w[1mu][9/10]{\exp_not:N\mathcal{\int_to_Alph:n{#1}}}
            }
            \cs_set:cpx {c\int_to_Alph:n{#1}v} {
                \exp_not:N\@@_arrow_overset:w*[1.5mu][8/10]{\exp_not:N\mathcal{\int_to_Alph:n{#1}}}
            }
        }
    } {}
    \prop_if_in:NnTF \g_@@_selected_presets_prop {abc} {
        \cs_new:cpn {vell} {
            \@@_arrow_overset:w{\ell}
        }
        \cs_new:cpn {ellv} {
            \@@_arrow_overset:w*{\ell}
        }
        \cs_new:cpn {vellv} {
            \@@_arrow_overset:w**{\ell}
        }
    } {}
} {}
%    \end{macrocode}
% \end{implementation}