%  \iffalse
%
%  Copyright (C) 2024 by Ch. L. Spiel
%
%  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
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  pdfauthor={Dr. Christoph L. Spiel},
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  pdfkeywords={LaTeX, font, italic, oblique, slant, upright},
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              S\hspace{-.06em}\synthslantbox{.15}{y}\hspace{.04em}nth%
              \hspace{-.02em}%
              Slant}}

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\begin{document}
  \DocInput{synthslant.dtx}
\end{document}
%</driver>
%<*index-style>
actual            '='
heading_prefix    "\\pagebreak[3]\\smallskip\n\n{\\sffamily\\bfseries\\large "
heading_suffix    "}\\nopagebreak\n"
headings_flag     1
level             '>'
quote             '!'
%</index-style>
%  \fi
%
%
%  \DoNotIndex{\-}
%  \DoNotIndex{\begingroup,\bool,\box}
%  \DoNotIndex{\DeclareOptionX,\def,\dim,\dimen,\discretionary,\draw}
%  \DoNotIndex{\edef,\else}
%  \DoNotIndex{\endgroup,\endmicrotypecontext,\endnegslantenvironment,\endslantenvironment}
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%  \DoNotIndex{\fi,\font,\fontdimen,\fontspec,\fp}
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%  \DoNotIndex{\relax,\RequirePackage}
%  \DoNotIndex{\sbox,\skip,\space}
%  \DoNotIndex{\tikz}
%  \DoNotIndex{\upshape,\usebox}
%  \DoNotIndex{\wd}
%
%
%  \changes{v0.1}{2024-2-12}{Initial version}
%
%
%  \pagenumbering{roman}
%
%  \title{\synthslantlogo{} -- Synthetically Slanted Glyphs}
%  \author{Ch.~L.~Spiel\footnote{\quarterspace\texttt{cspiel@users.sourceforge.org}}}
%  \date{\fileversion\qquad \filedate}
%  \maketitle
%  \thispagestyle{empty}
%
%
%  \begingroup
%    \let\small=\normalsize
%    \begin{abstract}
%      \noindent
%      Package~\packagename{synthslant} provides macros to slant arbitrary glyphs in both
%      directions.  It can be used to fake a real slanted font for \emph{short} pieces of text
%      and it can generate startling effects, like, for example, upright italics.
%    \end{abstract}
%  \endgroup
%
%
%  \iffalse
%<*title>
prologues := 3;

string roman_font;
roman_font := "pplr8r";         % URW Palladio L - Roman

string italics_font;
italics_font := "pplri8r";      % URW Palladio L - Italic

string sample_text;
sample_text := "fga";

u := 70;

font_scale := 7;

color light_gray;
light_gray := .8 white;

color original_color, slanted_color;
original_color := light_gray;
slanted_color := black;

pair loc[];
loc[1] := (0, 0);               % roman
loc[2] := (1.9u, 0);            % italics
loc[3] := (2.03u, 1.1u);        % slanted roman
loc[4] := (-.1u, -1.1u);       % upright italics

picture roman;
roman := thelabel.rt(sample_text infont roman_font scaled font_scale, loc[1]);

picture italics;
italics := thelabel.rt(sample_text infont italics_font scaled font_scale, loc[2]);

picture slanted_roman;
slanted_roman := thelabel.rt(sample_text infont roman_font scaled font_scale slanted .2, loc[3]);

picture upright_italics;
upright_italics := thelabel.rt(sample_text infont italics_font scaled font_scale slanted -.2, loc[4]);


beginfig(1);
  draw roman withcolor original_color;
  draw italics withcolor original_color;
  draw slanted_roman withcolor slanted_color;
  draw upright_italics withcolor slanted_color;
endfig;
end
%</title>
%  \fi
%
%
%  \begin{center}
%    \includegraphics{title.mps}
%  \end{center}
%
%  \vfill
%
%  \begingroup
%    \footnotesize
%    \noindent
%    This package is copyright \textcopyright~2024 Ch.~L.~Spiel.  It may be distributed and/or
%    modified under the conditions of the \LaTeX{} Project Public License \acronym{(LPPL)},
%    either version~1.3c of this license or --~at your option~-- any later version.  This work
%    has the \acronym{LPPL} maintenance status \doublequotes{author-maintained}.\par
%  \endgroup
%
%
%  \clearpage
%  \thispagestyle{pagenumberonly}
%  \tableofcontents
%
%  \vspace{\fill}
%
%  \begingroup
%    \footnotesize
%    \singlespacing
%    \noindent
%    The font samples~\singlequotes{fga} on the title page
%    were generated with the help of \MP{} using \doublequotes{\acronym{URW} Palladio~L}
%    in styles~\singlequotes{roman} and~\singlequotes{italic}.
%    The affine transformations were \code{slanted .2} for the slanted roman and
%    \code{slanted -.2} for the upright italics.\par
%  \endgroup
%
%
%  \clearpage
%  \thispagestyle{pagenumberonly}
%  \listoftables
%  \bigskip
%  \listoffigures
%
%
%  \clearpage
%  \pagenumbering{arabic}
%  \section{Introduction}\label{sec:introduction}
%
%  The \packagename{synthslant} package provides a translator (e.\,g.~\LaTeX, \pdfLaTeX, or
%  \LuaLaTeX) independent interface to shearing glyphs.  It implements a generic operation where
%  a short piece of text gets slanted forward or backward.  Moreover, specialized macros for the
%  two most important use cases are provided, namely slanting an upright font forward and making
%  an italics font upright.  Unbeknown to some users, \pdfTeX{} performs a similar operation
%  under the hood: of the 40\thousandsseparator210~map lines in my \filesystem{pdftex.map}
%  currently 1\thousandsseparator236 instruct \pdfTeX{} to artificially slant a font.  This
%  means some three percent of the shapes are generated this way.
%
%  Similar transformations can be achieved by other means.  I elaborate on one of the
%  alternatives in \cref{sec:alternative} on \cpageref{sec:alternative}.
%  Package~\packagename{synthslant} however focuses on ease of use and strict locality of the
%  glyph manipulation.
%
%
%  \subsection{Appeal for Artificially Slanted Type}\label{sec:appleal-for-artificially-slanted}
%
%  Artificially slanted type have a bad reputation.  Whenever there is an order to round up the
%  usual font suspects synthetically slanted, bolded\footnote{Package~\packagename{amsbsy}
%  defines a \doublequotes{Poor Man's Bold} macro~\cs{pmb} that works by
%  \singlequotes{overprinting}.  The authors of \packagename{amsbsy} recommend to prefer
%  package~\packagename{bm} for bold mathematical symbols, though.}, and condensed type along
%  with artificial small-caps swiftly are stuffed into the black Maria.\footnote{See for example
%  Ref.~\citenum{strizver:2014}, p.~97, but compare p.~142 and also
%  Ref.~\citenum{middendorp:2014}, p.~68n, for a more nuanced assessment.}  I can retrace this
%  condescension for synthetic bold and condensed variants.  They spoil the glyphs' outline
%  because they do not (and cannot) conserve the necessary proportions.  For small-caps the
%  problems are somewhat minor and I wonder how far one could get with an
%  \propername{OpenType}~font that supports a \code{size}~axis\index{font>axis>size=\code{size}}
%  as well as an \code{opsz}~axis\index{font>axis>opsz=\code{opsz}} in the necessary ranges to
%  construct convincing small-caps out of the multiple-master font.
%
%  In my view artificial slanting keeps much of the font's character intact.  In fact one
%  accusation of synthetically slanted type is that is creates less contrast than a proper
%  italic~\cite[p.~141]{strizver:2014} to which I object that less contrast can in fact be
%  enough contrast in a particular setting.  Moreover, small contrast with respect to the main
%  type is a problem of second order.  It does not devalue the shape \foreignphrase{per se} as
%  is true for artificial bold and condensed fonts.
%
%  What seems to have gotten lost in the discussion is the shapes of true italics that were
%  designed alongside with the roman type.  If we have an unbiased look at it --~for example at
%  the title~page of this manual~-- the italic versions of the upright characters are so
%  markedly different that I would like to ask whether they match the upright shape in a strict
%  sense.  For the double-storey~\sample{a} becomes single-storey, the start of the loop
%  of~\sample{g} moves from the far left into the middle.  Alongside, the aspect ratio of both
%  of the counters change.  These defy the common guidelines~\cite[Ch.~6]{stamm:2020} of font
%  pairing.  We can make sense of the seeming contradiction by recognizing that the italics
%  shape is not simply slanted, but creates tension in respect to the upright type by a variety
%  of additional design features.  A famous quote of \propername{Zuzana Li\v{c}ko} applies once
%  again:
%
%  \begin{quote}
%    The most popular typefaces are the easiest to read; their popularity has made them
%    disappear from conscious cognition.  It becomes impossible to tell if they are easy to read
%    because they are commonly used, or if they are commonly used because they are easy to read.
%  \end{quote}
%
%
%  \subsection{Some History}\label{sec:history}
%
%  Italics accompanying a roman font date back to one of the earliest print shops, namely that
%  of \href{https://it.wikipedia.org/wiki/Aldo_Manuzio}{\propername{Aldus Manutius}} around
%  1500\:A.\,C\@.  Artificially slanted, also known as \singlequotes{oblique}, versions of
%  upright fonts appear in the twentieth century, when type designers and foundries start to
%  save time and money by automatically constructing a slanted version of a given roman
%  type~\cite[p.~68n]{middendorp:2014}.  \packagename{Synthslant} closely follows on their
%  steps.
%
%  Some fonts in current \LaTeX{} distributions offer slanted series right out of the box.
%  \foreignphrase{Eureka!}  In particular the oldest (and once upon a time the only) font family
%  shipping with \TeX, \href{https://tug.org/FontCatalogue/cmrfonts.html}{Computer Modern
%  Roman}\index{font>Computer Modern Roman} --~nowadays member of the \acronym{CM}-Super
%  family~-- is available in a deluge of almost thirty shapes.  It covers not just slanted roman
%  or slanted smallcaps but also slanted typewriter and somewhat surprisingly upright italics.
%  Furthermore, the \LaTeXe{} font selection scheme provisions \singlequotes{\code{sl}} for
%  slanted shapes and \singlequotes{\code{ui}} for upright italics~\cite{fntguide}.  The former
%  is accompanied by the macros~\cs{slshape} and~\cs{textsl}.
%
%  \begin{wraptable}{r}{.382\textwidth}
%    \renewcommand*{\floatcaptionwidth}{\textwidth}
%    \small
%    \centering
%    \caption[Variable fonts with slant-axis]
%            {A short list of some variable fonts with a slant axis (\code{slnt}).}
%    \label{tab:open-type-slant-feature}
%
%    \begin{tabular}{@{}l@{}}
%      \toprule
%      Font Name  \\
%      \midrule
%      Cairo\index{font>Cairo}  \\
%      Commissioner\index{font>Commissioner}  \\
%      Geologica\index{font>Geologica}  \\
%      Gluten\index{font>Gluten}  \\
%      Inter\index{font>Inter}  \\
%      Recursive\index{font>Recursive}   \\
%      Roboto Flex\index{font>Roboto Flex}  \\
%      \bottomrule
%    \end{tabular}
%  \end{wraptable}
%
%  Refer to \cref{tab:open-type-slant-feature} on the right for a brief list of variable
%  fonts\footnote{See also the \LaTeX~Font Catalogue for
%  \href{https://tug.org/FontCatalogue/opentypefonts.html}%
%       {Fonts with \propername{OpenType} or \propername{TrueType}~Support}
%  and search \href{https://fonts.google.com/}{Google Fonts} for families of
%  \href{https://fonts.google.com/variablefonts?vfaxis=slnt}{variable fonts with a
%  \code{slnt}-axis} or fonts with an \href{https://v-fonts.com/tags/C5}{unusual variation} at
%  \href{https://v-fonts.com/}{Variable Fonts}.}  that offer a slant-axis\footnote{The
%  registered axis is called \code{slnt} and it is not to be confused with the
%  \code{ital}~axis.}\index{font>axis>slant=\code{slant}}\index{font>axis>ital=\code{ital}} that
%  can be controlled with \packagename{fontspec}'s\index{package>\packagename{fontspec}}
%  \code{Slant}\footnote{Since \packagename{fontspec} version~2.9a as of 2024/2/13.}~key and
%  \cref{tab:slanted-series-fonts} for a rather incomplete list of fonts that are shipped with
%  slanted shapes.  For these fonts \packagename{synthslant} is largely superfluous unless
%  e.\,g.~they also come with an italics shape that is to be typeset upright.
%
%  \begin{table}
%    \small
%    \centering
%    \caption[Fonts with slanted series]
%            {Selected fonts that come with their own slanted series.~\visualpar{} The table on
%             the left-hand side shows serif fonts, the one on the right-hand side sans-serif
%             fonts.}
%    \label{tab:slanted-series-fonts}
%
%    \newcommand*{\itshapemark}{\tablenotemark{\dag}}%
%
%    \begin{tabular}[t]{@{}p{12em}@{}}
%      \toprule
%      Font Name  \\
%      \midrule
%      Arvo\index{font>Arvo}  \\
%      Computer Modern Roman\index{font>Computer Modern Roman}  \\
%      Domitian\index{font>Domitian}  \\
%      Droid Serif\index{font>Droid Serif}  \\
%      Erewhon\index{font>Erewhon}  \\
%      Extended Charter\index{font>Extended Charter}  \\
%      \acronym{GFS} Artemisia\index{font>GFS Artemisia=\acronym{GFS} Artemisia}  \\
%      \acronym{GFS} Bodoni\index{font>GFS Bodoni=\acronym{GFS} Bodoni} \\
%      \acronym{GFS} Didot\index{font>GFSDidot=\acronym{GFS} Didot}  \\
%      \\
%      \bottomrule
%    \end{tabular}
%    \qquad
%    \begin{tabular}[t]{@{}p{12em}@{}}
%      \toprule
%      Font Name  \\
%      \midrule
%      Cabin\index{font>Cabin}  \\
%      Clear Sans\index{font>Clear Sans}  \\
%      Cuprum\index{font>Cuprum}  \\
%      Fira Sans\index{font>Fira Sans}  \\
%      Gandhi Sans\index{font>Gandhi Sans}  \\
%      \acronym{Inria} Sans\index{font>Inria Sans=\acronym{Inria} Sans}  \\
%      Lato\index{font>Lato}\itshapemark  \\
%      Montserrat\index{font>Montserrat}  \\
%      \acronym{PT} Sans\index{font>PT Sans=\acronym{PT} Sans}  \\
%      Source Sans Pro\index{font>Source Sans Pro}  \\
%      \bottomrule
%    \end{tabular}
%
%    \begin{tablenotes}
%      \itshapemark\enspace The shape is activated with \cs{itshape}.
%    \end{tablenotes}
%  \end{table}
%
%  It seems that the original idea of automatically shearing text in \LaTeX{} to simulate a
%  slanted shape goes back to \propername{David Carlisle} who suggested to use the
%  \pdfTeX-primitive \cs{pdfliteral} for shearing~\cite{tex-stackexchange-2013-12-7}.  Shortly
%  thereafter \propername{Bruno Le Floch} pointed to another \pdfTeX-primitive, namely
%  \cs{pdfsetmatrix}, available with (in 2013) more recent
%  \pdfTeX~versions~\cite{pdftex}.\footnote{The user-level manipulation of the transformation
%  matrix has been part of the \acronym{PDF}-standard since its initial publication in
%  1993~\cite[Secs.~3.8 and~3.9]{adobe-pdf-1.0} in the form of operator~\code{cm}
%  (\singlequotes{concat}~-- concatenate matrix to current transformation matrix).~\visualpar{}
%  The primitive~\cs{pdfliteral} was implemented already in the first release of \pdfTeX{}
%  in~1998~\cite{baskerville-pdftex-8-1:1998} and the primitive~\cs{pdfsetmatrix} joined 2007 in
%  \pdfTeX~version~1.40.0~\cite{schroeder:2007}.}  With the help of the latter affine
%  transformations of arbitrary content can be coded directly by setting the transformation
%  matrix.  A slight variant of his code is used in this package for the \acronym{PDF}- and
%  \packagename{l3draw}\index{package>\packagename{l3draw}}-slant~engines.  The implementations
%  for \pstrickslogo, \tikzlogo{}, and \packagename{fontspec}\packagename{fontspec} are trivial
%  as they build upon shear~functions supplied by the respective packages.
%
%
%  \subsection{Shear Transformation, Slant, and Angle}\label{sec:shear-transformation}
%
%  \index{slant>operation}
%  \index{shear>transformation}
%  Mathematically the slant operation is a shear transformation, which can be expressed with the
%  equation
%  \begin{equation}\label{equ:shear-transformation}
%    \begin{pmatrix}
%      x'  \\
%      y'
%    \end{pmatrix}
%    =
%    \begin{pmatrix}
%      1  &  \sin\alpha  \\
%      0  &  1
%    \end{pmatrix}
%    \mathbin{}
%    \begin{pmatrix}
%      x  \\
%      y
%    \end{pmatrix},
%  \end{equation}
%
%  \noindent
%  where the vector~\(\transpose{(x, y)}\) is mapped to \(\transpose{(x'\!, y')}\) and both are
%  elements of the two-dimensional drawing plane~\(\numberset{E}^2\)\!.  Compare with
%  \Cref{fig:shear-transform}.
%
%
%  \iffalse
%<*shear-transform>
verbatimtex
%&latex
\documentclass{amsart}
\usepackage[default, lining, proportional, regular, semibold]{sourceserifpro}
\usepackage[lining, proportional, semibold]{sourcesanspro}
\usepackage[semibold]{sourcecodepro}
\usepackage[xcharter]{newtxmath}
\newcommand*{\numberset}[1]{\mathbb{#1}}
\newcommand*{\transpose}[1]{{#1}^{\text{T}}}
\begin{document}
etex


prologues := 3;


phi := .618;

u := 80;


numeric line_thickness[];
line_thickness[1] := .25 * 72/25.4;
line_thickness[2] := .35 * 72/25.4;
line_thickness[3] := .5  * 72/25.4;
line_thickness[4] := .7  * 72/25.4;

narrow_width := line_thickness[1];
medium_width := line_thickness[2];
wide_width := line_thickness[3];


%%  / x' \     / 1   slant \  / x \
%%  |    |  =  |           |  |   |
%%  \ y' /     \ 0     1   /  \ y /
def slant_point(expr a_point, a_slant) =
  (xpart a_point + ypart a_point * a_slant, ypart a_point)
enddef;


pair original_rectangle[];
original_rectangle[1] := (0, 0);
original_rectangle[2] := (u, 0);
original_rectangle[3] := (u, phi * u);
original_rectangle[4] := (0, phi * u);

slant := .2;

pair slanted_rectangle[];
slanted_rectangle[1] := slant_point(original_rectangle[1], slant);
slanted_rectangle[2] := slant_point(original_rectangle[2], slant);
slanted_rectangle[3] := slant_point(original_rectangle[3], slant);
slanted_rectangle[4] := slant_point(original_rectangle[4], slant);

pair offset[];
offset[0] := (0, 0);
offset[1] := (1.75u, 0);


beginfig(1);
  drawarrow (-.2u, 0) + offset[0] -- (1.25u, 0) + offset[0]
       withpen pencircle scaled narrow_width;
  drawarrow (0, -.2u) + offset[0] -- (0, u) + offset[0]
       withpen pencircle scaled narrow_width;

  label.llft(btex \(\numberset{E}^2\) etex, offset[0]);
  label.llft(btex \(x\) etex, (1.25u, 0) + offset[0] + (0, -2));
  label.lft(btex \(y\) etex, (0, u) + offset[0]);

  draw original_rectangle[1] + offset[0] --
       original_rectangle[2] + offset[0] --
       original_rectangle[3] + offset[0] --
       original_rectangle[4] + offset[0] --
       cycle
       withpen pencircle scaled wide_width;
  drawdot original_rectangle[4] + offset[0] withpen pencircle scaled 4pt;
  label.urt(btex \(\transpose{(x, y)}\) etex, original_rectangle[4] + offset[0] + (1, 1));


  drawarrow (-.2u, 0) + offset[1] -- (1.25u, 0) + offset[1]
       withpen pencircle scaled narrow_width;
  drawarrow (0, -.2u) + offset[1] -- (0, u) + offset[1]
       withpen pencircle scaled narrow_width;

  label.llft(btex \(\numberset{E}^2\) etex, offset[1]);
  label.llft(btex \(x\) etex, (1.25u, 0) + offset[1] + (0, -2));
  label.lft(btex \(y\) etex, (0, u) + offset[1]);

  draw slanted_rectangle[1] + offset[1] --
       slanted_rectangle[2] + offset[1] --
       slanted_rectangle[3] + offset[1] --
       slanted_rectangle[4] + offset[1] --
       cycle
       withpen pencircle scaled wide_width;
  drawdot slanted_rectangle[4] + offset[1] withpen pencircle scaled 4pt;
  label.urt(btex \(\transpose{(x'\!, y')}\) etex, slanted_rectangle[4] + offset[1] + (3, 1));


  pair p;
  p := slanted_rectangle[1] + offset[1];
  draw p -- (1.5slanted_rectangle[4] + offset[1])
       withpen pencircle scaled narrow_width;

  path angle_indicator;
  angle_indicator := fullcircle scaled 1.6u shifted offset[1];
  draw angle_indicator
       cutbefore (p -- (1.5slanted_rectangle[4] + offset[1]))
       cutafter (offset[1] -- (0, u) + offset[1]);
  label.rt(btex \(\alpha\) etex, 1.4original_rectangle[4] + offset[1] + (1, 0));
endfig;
end
%</shear-transform>
%  \fi
%
%
%  \begin{figure}
%    \centering
%    \includegraphics{shear-transform.mps}
%
%    \caption[Shear transform]
%            {Shear transform of a rectangle by the angle~\(\alpha\).  The left-hand side shows
%             the original figure the right-hand side the one sheared by~\(\alpha\).  The
%             \(x\)-axis can be identified with the baseline of the
%             text.}\label{fig:shear-transform}
%  \end{figure}
%
%
%  For \(\alpha = 0\) the shear matrix becomes the identity matrix.  Throughout of
%  \packagename{synthslant} we work with the \meta{slant} which is \(\sin \alpha\) in
%  \cref{equ:shear-transformation} and avoid converting back and forth to the
%  \index{shear>angle}shear angle~\(\alpha\).\footnote{At least one slant engine currently
%  requires such a conversion, namely~\pstrickslogo.  The math is hidden from the user, though.}
%  Some values for orientation: \mbox{\(\sin 5.74\degree \approx .1\)}, \mbox{\(\sin 11.5\degree
%  \approx .2\)}, and \mbox{\(\sin 17.5\degree \approx .3\)}.\footnote{For small
%  angles~\(\lvert\alpha\rvert\) measured in radians the sine is approximately linear: \(\sin
%  \alpha \approx \alpha\).}  For real-life serif fonts \meta{slant} is in the range of~\(.1\)
%  to~\(.45\) and a value of~\(.2\) seems to be quite common.  My \filesystem{pdftex.map} lists
%  negative \meta{slant} values in the range~\(-.4\) to~\(-.05\) and positive \meta{slant}
%  values in the range~\(.14\) up to~\(.45\).  See \Cref{tab:slant-values} on
%  \cpageref{tab:slant-values} for some actual values of serif fonts in \LaTeX.
%
%
%  \subsection{Usage Ideas}\label{sec:usage-ideas}
%
%  Automatic slanting both forward and reverse can be applied in a variety of typographic
%  occasions.  Here are some ideas.
%
%  \begin{enumerate}
%  \item\label{it:no-italics}
%    Generate a slanted serif in the unfortunate situation when a serif font comes without
%    italics such as \singlequotes{\acronym{URW}~Antiqua}\index{font>URW Antiqua=\acronym{URW}
%    Antiqua}.
%
%    Here, the user is relatively free to choose a \meta{slant}, for there are no italics whose
%    angle must be matched.  \packagename{Synthslant}'s default of~.2 should be a good starting
%    point.
%
%  \item\label{it:upright-italics}
%    Augment a serif font that features an italics shape with upright italics.
%
%    In nearly all cases it is desirable not to remove all forward-slant of the italics but
%    retain some 1\textdegree{} to~2\textdegree{} of residual angle.
%
%  \item\label{it:correct-italics-angle}
%    An italics shape that has an excessive slant angle, as
%    e.\,g.~\singlequotes{Libre~Caslon}\index{font>Libre Caslon} may be corrected, i.\,e.,
%    partially un-slanted.
%
%    In this case, and generally if a font as a whole needs to be corrected, an alternative
%    approach like the one sketched in \cref{sec:alternative} on \cpageref{sec:alternative} may
%    be warranted.
%
%  \item\label{it:generate-sole-obliques}
%    Generate an oblique sans-serif if a sans-serif font comes without an oblique shape as,
%    e.\,g., \singlequotes{\acronym{URW}~Grotesk}.\index{font>URW Grotesk=\acronym{URW} Grotesk}
%
%  \item\label{it:generate-extra-obliques}
%    Supply a slanted sans-serif shape for sans-serif fonts with designed, this is \emph{true}
%    obliques as e.\,g.~\singlequotes{Open Sans}.\index{font>Open Sans}
%
%  \item\label{it:slant-typewriter}
%    Fixed-width --~also called \singlequotes{typewriter} or \singlequotes{teletype}~-- fonts
%    without obliques (Yes, I am looking at you, Inconsolata!)\index{font>Inconsolata} finally
%    get an oblique shape.
%
%  \item\label{it:slanted-small-caps}
%    Small caps without accompanying italics can be slanted, too.
%
%  \item\label{it:slant-in-math-mode}
%    As \packagename{synthslant} also works in \TeX's math-mode, it is possible to give
%    math-italics even more of a heeling.
%
%  \item\label{it:correct-math-script}
%    If the slant of the math script font is at odds with the slant of the usual math italics,
%    it may be possible to apply \packagename{synthslant} on the script symbols for matching
%    angles.
%
%  \item\label{it:slant-big-math-operators}
%    Big mathematical operators like the sigma can be slanted and others, like the integral
%    sign, can have their inclination adjusted.
%  \end{enumerate}
%
%  It is possible to obtain slants that run against the reading direction, so called
%  \singlequotes{backslanted} glyphs, but I have rarely seen an
%  \href{https://fontsinuse.com/tags/2044/left-leaning-italics-backslanted}{example} where the
%  typography of a document could benefit from that.
%
%
%  \clearpage
%  \section{Package Options}\label{sec:package-options}
%
%  \begin{synopsis}
%    |\usepackage[|\meta{option}\dots|]{synthslant}|
%  \end{synopsis}
%
%  This is a list of \meta{option}s that \packagename{synthslant} understands.  The package
%  options allow to predefine the forward and backward slant angles as well as the selection of
%  a particular slanting engine.
%
%  \begingroup
%  \newcommand*{\indexpackageoption}[1]
%              {\index{package option>#1=\code{#1}}\index{#1=\code{#1}~(option)}\ignorespaces}
%  \begin{description}
%        [before={\let\oldmakelabel=\makelabel
%                 \renewcommand{\makelabel}[1]
%                              {\oldmakelabel{\termparbox{##1}}\phantomsection}},
%         font=\normalfont,
%         style=nextline]
%  \item[|auto|]\label{item:auto}
%    \indexpackageoption{auto}
%    Let the package choose a slant engine.  This is the default.
%
%    For \pdfLaTeX{} package \packagename{synthslant} selects the \acronym{PDF}-engine, for
%    \LuaLaTeX{} the \packagename{fontspec}-engine, and in all other cases the
%    \packagename{l3draw}-layer handles the shear transformation.
%
%  \item[|disable|]\label{item:disable}
%    \indexpackageoption{disable}
%    Disable slanting completely.
%
%  \item[|fontspec|]\label{item:fontspec}
%    \indexpackageoption{fontspec}
%    Use \packagename{fontspec}\index{package>\packagename{fontspec}} as slanting
%    back-end.\footnote{Requires \filesystem{fontspec.sty.}}
%
%  \item[|l3draw|]\label{item:l3draw}
%    \indexpackageoption{l3draw}
%    Select the \singlequotes{draw} layer\index{package>\packagename{l3draw}} of \LaTeXIII{} as
%    base for the slanting engine.\footnote{This option requires \filesystem{l3draw.sty.}}
%
%    \begin{caution}
%      This engine is experimental and the \singlequotes{draw} layer of \LaTeXIII{} itself is
%      still experimental, too.  See \cref{sec:limitations} on \cpageref{sec:limitations} for
%      details.
%    \end{caution}
%
%  \item[|negslant=|\meta{slant-expr}]\label{item:negslant}
%    \indexpackageoption{negslant}
%    Set the default value for \hyperref[syn:synthnegslant]{\cs{synthnegslant}} \emph{only.}
%    The argument \meta{slant-expr} is a floating-point expression.  Note that for this option
%    \meta{slant-expr} must evaluate to a non-positive value.
%
%  \item[|PDF|, |pdf|]\label{item:pdf}
%    \indexpackageoption{pdf}
%    Select the \acronym{PDF}-slant engine.  This requires the document is translated with
%    \pdfLaTeX{} or a compatible program.
%
%  \item[|posslant=|\meta{slant-expr}]\label{item:posslant}
%    \indexpackageoption{posslant}
%    Set the default value for \hyperref[syn:synthslant]{\cs{synthslant}} \emph{only.}  The
%    argument \meta{slant-expr} is a floating-point expression.  Note that for this option
%    \meta{slant-expr} must evaluate to a non-negative value.
%
%  \item[|PS|, |ps|]\label{item:postscript}
%    \index{ps}
%    Use \pstrickslogo\index{package>\packagename{pstricks}} to delegate slanting to the
%    PostScript\index{PostScript} interpreter.  Obviously requires \pstrickslogo\footnote{The
%    package actually required is \filesystem{pst-3d.sty.}} and \acronym{DVI}-to-PostScript
%    translation.
%
%    \begin{caution}
%      This engine is still experimental and produces low-quality output!  See
%      \cref{sec:limitations} on \cpageref{sec:limitations} for details.
%    \end{caution}
%
%  \item[|slant=|\meta{slant-expr}]\label{item:slant}
%    \indexpackageoption{slant}
%    Set the default values for both \hyperref[syn:synthslant]{\cs{synthslant}} and
%    \hyperref[syn:synthnegslant]{\cs{synthnegslant}}, this is, behave as if the two package
%    options \(\code{posslant} = \meta{slant-expr}\) and \(\code{negslant} =
%    -(\meta{slant-expr})\) have been given.  The argument \meta{slant-expr} is a floating-point
%    expression.
%
%    If omitted \packagename{synthslant} assumes \(.2\) and \(-.2\), respectively.
%
%  \item[|TikZ|, |tikz|]\label{item:tikz}
%    \indexpackageoption{tikz}
%    Use \packagename{TikZ}\index{package>\packagename{TikZ}} for slanting.\footnote{Requires
%    \filesystem{tikz.sty.}}
%
%    \begin{caution}
%      This engine is still experimental and produces low-quality output!  See
%      \cref{sec:limitations} on \cpageref{sec:limitations} for details.
%    \end{caution}
%  \end{description}
%  \endgroup
%
%  The package options \code{slant}, \code{posslant}, and \code{negslant} all accept
%  floating-point \emph{expressions} as their arguments not just plain floating-point literals.
%  See Ref.~\citenum{latex3-interfaces}, Ch.~29, \doublequotes{The \textsf{l3fp}~module~--
%  Floating points} for a description of the floating-point expression syntax and the available
%  functions.
%
%
%  \clearpage
%  \section{Macros and Environments}\label{sec:macros-and-environments}
%
%  This section describes how to actually apply the functionality of \packagename{synthslant} to
%  some text.  If the \meta{slant}~value matching a given font is known this is about it.  To
%  figure out an unknown \meta{slant}~value check out \cref{sec:determine-slant}.
%
%
%  \subsection{Variable-Like Macros}\label{sec:variables}
%
%  The amount of slanting forward (positive slant angles) and backward (negative slant angles)
%  is controlled by two macros.  They are set during package initialization.  However, they can
%  be changed at any time to accommodate for different fonts or special needs.
%
%  \DescribeMacro{\synthslant}
%  Control the slant applied by \hyperref[syn:textsynthslant]{\cs{textsynthslant}}.
%  This value is non-negative.
%
%  \begin{synopsis}\label{syn:synthslant}
%    \cs{synthslant}
%  \end{synopsis}
%
%  To change the slant value to \(.24\) say
%
%  \begin{codeexample}
%    \cs{renewcommand}*\{\cs{synthslant}\}\{.24\}
%  \end{codeexample}
%
%  \Cref{tab:slant-values} summarizes some suggested slant values for selected fonts.
%
%  \begin{table}
%    \small
%    \centering
%    \caption[Suggested slant values]
%            {Suggested slant values for selected \emph{serif} fonts.  The \meta{slant} shown in
%             the tables is not necessarily the one closest to the font's italics.  Also compare
%             with the left-hand table of \cref{tab:slanted-series-fonts}.}
%    \label{tab:slant-values}
%
%    \fullwidthsetup{skipabove=0pt, skipbelow=0pt}
%    \begin{maxipage}
%      \begin{minipage}{\textwidth}
%        \flushright
%        \begin{tabfigures}
%          \begin{tabular}[t]{@{}p{9.5em}l@{}}
%            \toprule
%            Font Name  &  Slant  \\
%            \midrule
%            \acronym{ADF} Accanthis\index{font>ADF Accanthis=\acronym{ADF} Accanthis}  &  .26  \\
%            \acronym{ADF} Baskervald\index{font>ADF Baskervald=\acronym{ADF} Baskervald}  &  .32  \\
%            \acronym{ADF} Berenis\index{font>ADF Berenis=\acronym{ADF} Berenis}  &  .2  \\
%            \acronym{ADF} Venturis\index{font>ADF Venturis=\acronym{ADF} Venturis}  &  .2  \\
%            Alegreya\index{font>Alegreya}                                      &  .2  \\
%            Arvo\index{font>Arvo}                                              &  .2  \\
%            BaskervilleF\index{font>BaskervilleF}                              &  .2  \\
%            Bera Serif\index{font>Bera Serif}                                  &  .2  \\
%            Bitter\index{font>Bitter}                                          &  .16  \\
%            Caladea\index{font>Caladea}                                        &  .14  \\
%            Clara\index{font>Clara}                                            &  .24  \\
%            Cochineal\index{font>Cochineal}                                    &  .2  \\
%            Coelacanth\index{font>Coelacanth}                                  &  .2  \\
%            Crimson Pro\index{font>Crimson Pro}                                &  .2  \\
%            Crimson Text\index{font>Crimson Text}                              &  .2  \\
%            \bottomrule
%          \end{tabular}%
%          \qquad
%          \begin{tabular}[t]{@{}p{9.5em}l@{}}
%            \toprule
%            Font Name  &  Slant  \\
%            \midrule
%            Day Roman\index{font>Day Roman}                                    &  .2  \\
%            \acronym{EB} Garamond\index{font>EB Garamond=\acronym{EB} Garamond}  &  .3  \\
%            etbb\index{font>etbb}                                              &  .2  \\
%            fbb\index{font>fbb}                                                &  .2  \\
%            Garamond Expert\index{font>Garamond Expert}                        &  .2  \\
%            Gandhi Serif\index{font>Gandhi Serif}                              &  .2  \\
%            Gentium\index{font>Gentium}                                        &  .2  \\
%            Ibarra Real Nova\index{font>Ibarra Real Nova}                      &  .2  \\
%            \acronym{IBM} Plex Serif\index{font>IBM Plex Serif=\acronym{IBM} Plex Serif}  &  .24  \\
%            \acronym{Inria} Serif\index{font>Inria Serif=\acronym{Inria} Serif}  &  .2  \\
%            Libertinus Serif\index{font>Libertinus Serif}                      &  .2  \\
%            Libre Baskerville\index{font>Libre Baskerville}                    &  .3  \\
%            Libre Caslon\index{font>Libre Caslon}                              &  .38  \\
%                                                                               &  \\
%                                                                               &  \\
%            \bottomrule
%          \end{tabular}%
%          \qquad
%          \begin{tabular}[t]{@{}p{9.5em}l@{}}
%            \toprule
%            Font Name  &  Slant  \\
%            \midrule
%            Merriweather\index{font>Merriweather}                              &  .14  \\
%            MLModern\index{font>MLModern}                                      &  .23  \\
%            Noto Serif\index{font>Noto Serif}                                  &  .22  \\
%            \acronym{PT} Serif\index{font>PT Serif=\acronym{PT} Serif}         &  .2  \\
%            Roboto Slab\index{font>Roboto Slab}                                &  .2  \\
%            Quattrocento\index{font>Quattrocento}                              &  .2  \\
%            Source Serif Pro\index{font>Source Serif Pro}                      &  .18  \\
%            Spectral\index{font>Spectral}                                      &  .18  \\
%            \acronym{STIX}\index{font>STIX=\acronym{STIX}}                     &  .2  \\
%            \TeX{} Gyre Pagella\index{font>TeX Gyre Pagella=\TeX{} Gyre Pagella}  &  .16  \\
%            \acronym{TX} Fonts Serif\index{font>TX Fonts Serif=\acronym{TX} Fonts Serif}  &  .2  \\
%            \acronym{URW} Antiqua\index{font>URW Antiqua=\acronym{URW} Antiqua}  &  .2  \\
%            \acronym{URW} Nimbus Roman\index{font>URW Nimbus Roman=\acronym{URW} Nimbus Roman}  &  .2  \\
%            Utopia\index{font>Utopia}                                          &  .2  \\
%                                                                               &  \\
%            \bottomrule
%          \end{tabular}
%        \end{tabfigures}
%      \end{minipage}
%    \end{maxipage}
%  \end{table}
%
%  \DescribeMacro{\synthnegslant}
%  Control the slant applied by
%  \hyperref[syn:textsynthuprightitalic]{\cs{textsynthuprightitalic}}.  This value is
%  non-positive.
%
%  \begin{synopsis}\label{syn:synthnegslant}
%    \cs{synthnegslant}
%  \end{synopsis}
%
%
%  \subsection{Basic Interface}\label{sec:basic-interface}
%
%  Package \packagename{synthslant} provides two easy-to-use macros for slanting glyphs.  For a
%  more flexible and powerful interface, see~\cref{sec:advanced-interface}.
%
%  \begin{note}
%    The following restrictions and workarounds to get line-breaking and automatic hyphenation
%    working again do \emph{not} apply to the
%    \packagename{fontspec}\index{package>\packagename{fontspec}} back-end.
%  \end{note}
%
%  \noindent
%  Both macros provide \emph{simplistic} support for slanting hyphenatable
%  words and space-separated phrases for a given \meta{text}.  The fundamental shear
%  transformation would produce an single unbreakable horizontal box.  So we have added two
%  provisions to re-enable at least some breakability.
%
%  \begin{enumerate}
%  \item Spaces introduce breakpoint,\index{breakpoint at space} e.\,g.
%    \begin{codeexample}
%      \cs{textsynthslant}\{topological dual space\}
%    \end{codeexample}
%    slants the first word (producing a horizontal box) inserts a space and then slants the
%    second word (producing another horizontal box).  \TeX{} sees two (unbreakable) boxes and a
%    discardable space when it comes to linebreaking.
%
%  \item Discretionary hyphens\index{discretionary hyphen} in the form of \singlequotes{\cs{-}}
%    get propagated.  So, we could improve on our above example by saying
%    \begin{codeexample}
%      \cs{textsynthslant}\{topo\cs{-}log\cs{-}i\cs{-}cal dual space\}
%    \end{codeexample}
%    to \singlequotes{recover} hyphenation of the first word.
%  \end{enumerate}
%
%  \noindent
%  This neither is a complete nor an elegant solution but it will take us quite far.
%
%  \medskip
%
%  \DescribeMacro{\textsynthslant}
%  Forward slant some upright glyphs.
%
%  \begin{synopsis}\label{syn:textsynthslant}
%    \cs{textsynthslant}\marg{text}
%  \end{synopsis}
%
%  In horizontal mode switch to an upright shape, slant \meta{text} with the slant value stored
%  in \hyperref[syn:synthslant]{\cs{synthslant}} and apply \doublequotes{slant
%  correction}\index{slant>correction} --~the equivalent of italics correction~-- at the
%  right-hand side of~\meta{text}.
%
%  In math mode just slant \meta{text} with the slant value stored in
%  \hyperref[syn:synthslant]{\cs{synthslant}}.
%
%  \begin{usecases}
%    If italics seem to be too intrusive in the body we can substitute slanted text for example
%    for foreign phrases like \singlequotes{et.\,al.} and \singlequotes{etc.}:
%
%    \begin{codeexample}
%      \cs{newcommand*}\=\{\cs{foreignphrase}\}[2][USenglish]  \\
%                      \>\{\cs{foreignlanguage}\{\#1\}\{\cs{textsynthslant}\{\#2\}\}\}
%    \end{codeexample}
%
%    \noindent
%    where we show the font modification in conjunction with the
%    \packagename{babel}~macro\index{package>\packagename{babel}}
%    \cs{foreignlanguage}~\cite{package:babel}.~\visualpar
%
%    In math-mode you cannot have enough fonts, symbols, and most of the gizmos over there!  I
%    like to mark up automorphism groups associated with a given group with a slanted-roman
%    typeface, though my macro has a more general name.
%
%    \begin{codeexample}
%      \cs{newcommand*}\=\{\cs{functionspace}\}[1]  \\
%                      \>\{\cs{mbox}\{\cs{textsynthslant}\{\#1\}\}\}\specialsectionendhere
%    \end{codeexample}
%  \end{usecases}
%
%  \DescribeMacro{\textsynthuprightitalic}
%  Backward slant some italics or oblique glyphs.
%
%  \begin{synopsis}\label{syn:textsynthuprightitalic}
%    \cs{textsynthuprightitalic}\marg{text}
%  \end{synopsis}
%
%  In horizontal mode switch to an italics shape,
%  slant \meta{text} with the slant value stored in \cs{synthnegslant}.
%
%  In math mode just un-slant \meta{text} with the slant value stored in \cs{synthnegslant}.
%
%  \begin{example}
%    To set apart operators in an algebra like, e.\,g., the radical, we could use upright
%    italics
%
%    \begin{codeexample}
%      \cs{newcommand*}\=\{\cs{algebraoperator}\}[1]  \\
%                      \>\{\cs{mbox}\{\cs{textsynthuprightitalic}\{\#1\}\}\}
%    \end{codeexample}
%
%    \noindent
%    and follow up with
%
%    \begin{codeexample}
%      \cs{DeclareMathOperator}\{\cs{rad}\}\{\cs{algebraoperator}\{rad\}\}
%    \end{codeexample}
%
%    \noindent
%    where we have assumed that \packagename{amsmath} has been loaded to bring
%    \cs{DeclareMathOperator} into scope.
%  \end{example}
%
%
%  \subsection{Advanced Interface}\label{sec:advanced-interface}
%
%  \DescribeMacro{\synthslantbox}
%  Slant \meta{text} with an amount of \meta{slant} that can be positive, negative or zero.
%
%  \begin{synopsis}\label{syn:synthslantbox}
%    \cs{synthslantbox}\marg{slant}\marg{text}
%  \end{synopsis}
%
%  This is the unadorned call to the chosen slanting engine.  In particular, neither the values
%  of \hyperref[syn:synthslant]{\cs{synthslant}} nor of
%  \hyperref[syn:synthnegslant]{\cs{synthnegslant}} enter its expansion!  No corrections or
%  \TeX-mode adjustments are made.
%
%  \begin{example}
%    Generate a substitute for a missing solidus character:
%
%    \begin{codeexample}
%      12\=\kill
%      \cs{renewcommand*}\{\cs{textfractionsolidus}\}[1]  \\
%          \>\{\=\cs{kern}-.125em  \\
%          \>  \>\cs{raisebox}\=\{.125em\}  \\
%          \>  \>             \>\{\=\cs{smaller}  \\
%          \>  \>             \>  \>\cs{synthslantbox}\{.3\}\{\cs{char}`/\}\}\%  \\
%          \>  \>\cs{kern.1em}\}
%    \end{codeexample}
%
%    \noindent
%    where the \cs{smaller} macro is from the
%    \packagename{relsize}~package~\cite{package:relsize}.
%  \end{example}
%
%  The following two environments are responsible for setting up everything before the actual
%  slant or un-slant code runs and what happens after the slant-engine finishes.  They can be
%  redefined or patched to meet different users' needs.
%
%  \DescribeEnv{slantenvironment}
%  Wrapper around \hyperref[syn:synthslantbox]{\cs{synthslantbox}} that is called for every
%  forward-slanting operation with~\hyperref[syn:textsynthslant]{\cs{textsynthslant}}.
%
%  \begin{synopsis}\label{syn:slantenvironment}
%    \cs{begin}|{slantenvironment}|  \\
%    \hspace*{1em}\dots  \\
%    \cs{end}|{slantenvironment}|
%  \end{synopsis}
%
%  Switch to an upright font shape and --~if
%  package~\packagename{microtype}~\cite{package:microtype}\index{package>\packagename{microtype}}
%  has been loaded~-- enter the Microtype-context defined by
%  macro~\hyperref[syn:slantcontext]{\cs{slantcontext}}.  At the end add some slant correction,
%  which is the equivalent of italics correction.
%
%  \begin{usecases}[\doublequotes{Patch Cases}]
%    Left-italics correction.~\visualpar{}
%    Simultaneous left-italics and right-italics correction for a shift-left effect.
%  \end{usecases}
%
%  \DescribeEnv{negslantenvironment}
%  Wrapper around \hyperref[syn:synthslantbox]{\cs{synthslantbox}} that is called for every
%  backward-slanting operation
%  with~\hyperref[syn:textsynthuprightitalic]{\cs{textsynthuprightitalic}}.
%
%  \begin{synopsis}\label{syn:negslantenvironment}
%    \cs{begin}|{negslantenvironment}|  \\
%    \hspace*{1em}\dots  \\
%    \cs{end}|{negslantenvironment}|
%  \end{synopsis}
%
%  Switch to an italics font shape and --~if
%  package~\packagename{microtype}~\cite{package:microtype} has been loaded~-- enter the
%  Microtype-context defined by macro~\hyperref[syn:negslantcontext]{\cs{negslantcontext}}.
%
%  \DescribeMacro{\slantcontext}
%  Microtype context used when typesetting slanted text.
%
%  \begin{synopsis}\label{syn:slantcontext}
%    \cs{slantcontext}
%  \end{synopsis}
%
%  The expansion of this macro may be empty.
%  The package's default is
%
%  \begin{codeexample}
%    tracking = synthslant
%  \end{codeexample}
%
%  \begin{note}
%    The tracking context~\code{synthslant} is \emph{not} defined by \packagename{synthslant}.
%    And \packagename{microtype} ignores undefined contexts.
%  \end{note}
%
%  \DescribeMacro{\negslantcontext}
%  Microtype context used when typesetting un-slanted text.
%
%  \begin{synopsis}\label{syn:negslantcontext}
%    \cs{negslantcontext}
%  \end{synopsis}
%
%  The expansion of this macro may be empty.
%  The package's default is
%
%  \begin{codeexample}
%    tracking = synthnegslant
%  \end{codeexample}
%
%  \begin{note}
%    The tracking context~\code{synthnegslant} is \emph{not} defined by
%    \packagename{synthslant}.  And \packagename{microtype} ignores undefined contexts.
%  \end{note}
%
%  \begin{example}
%    Upright italics often look somewhat tight.  I like to add some extra tracking to them.  So,
%    I simply define the context~\code{synthnegslant}:
%
%    \begin{codeexample}
%      \cs{SetTracking}\=[context = synthnegslant]  \\
%                      \>\{encoding = *, shape = it\}  \\
%                      \>\{10\}\specialsectionendhere
%    \end{codeexample}
%  \end{example}
%
%  \begin{tip}
%    When the tracking of upright italics is changed
%    it may be advisable
%
%    \begin{itemize}[notopsep]
%    \item to break ligatures, e.\,g.~\code{no ligatures = \{f\}},
%    \item to adjust the outer kerning, e.\,g.~\code{outer~kerning = \{0, 0\}} and
%    \item to adapt the inter-word spacing, e.\,g.~\code{spacing = \{100,,\}}.
%    \end{itemize}
%
%    The document \filesystem{synthslant-gauge.tex}, which comes with
%    package~\packagename{synthslant}, has sample texts and tracking variations already set up
%    for experimentation.
%  \end{tip}
%
%
%  \clearpage
%  \section{Determining Slant}\label{sec:determine-slant}
%
%  If a synthetically slanted piece of text needs to match to an existing italics or oblique
%  font the question arises how to determine the slant angle~\(\alpha\) or~\meta{slant}.
%
%  \begin{note}
%    The slant angles of different glyphs in the same font may slightly differ from each other.
%    We look for a representative \meta{slant}, a kind of average that achieves a visual match
%    with the italics or obliques of the font family.
%  \end{note}
%
%
%  \subsection{Direct Measurement}\label{sec:direct-meansurement}
%
%  Measure the angle of some reference glyphs with a graphics program.
%
%  \begin{enumerate}[itemsep=.5\itemsep, parsep=.5\parsep]
%  \item Prepare a page with some sample glyphs of the font shape to be matched.
%
%  \item Render it as PostScript or in~\acronym{PDF}.
%
%  \item Load the file at a resolution of 1200\,dpi or higher into your favourite graphics
%    editor that supports measuring angles.
%
%  \item In the graphics editor center the interesting letters and set the zoom to one hundred
%    percent or more.
%
%  \item Measure some letters and write down the angles.
%
%  \item Convert the desired angle~\(\alpha\) to a \meta{slant} by calculating \(\sin \alpha\).
%
%    If no computer is available, the following formula might help:
%    \begin{equation*}
%        \meta{slant} = \sin \alpha \approx \frac{11}{630\degree} \: \alpha,
%    \end{equation*}
%
%    where \(\alpha\) is given in degrees.
%  \end{enumerate}
%
%
%  \subsection{Comparison of Shapes}\label{sec:shape-comparison}
%
%  Compare some reference glyphs with a differently slanted versions.
%
%  \begin{enumerate}[itemsep=.5\itemsep, parsep=.5\parsep]
%  \item In file~\filesystem{synthslant-gauge.tex} which comes with the
%    \packagename{synthslant}~package insert the code to load your font-of-interest.
%
%  \item Render the document as PostScript or as~\acronym{PDF}.
%
%  \item Load the first page at a resolution of 600\,dpi to~900\,dpi into your favourite
%    graphics editor.
%
%  \item Cut the italics sample at the top allowing for generous white-space around it as a
%    rectangle
%
%  \item Paste the rectangle in a new layer called e.\,g.~\singlequotes{sample}.
%
%  \item On layer \singlequotes{sample} move the rectangle down the list of different slant
%    values until it match best.
%
%  \item Switch the layer mode of \singlequotes{sample} to \singlequotes{difference} and
%    fine-position the rectangle over the slanted sample.  Compare different letters in that
%    way.  Change line until the best match is found.
%
%  \item Read the slant value at the left-hand side of the line.  See
%    \Cref{fig:compare-with-the-gimp}.
%  \end{enumerate}
%
%  \begin{figure}
%    \centering
%    \includegraphics[keepaspectratio=true, width=\linewidth]
%                    {compare-with-the-gimp}
%
%    \caption[Compare slant angles]
%            {Compare italics and slanted samples with \application{The Gimp}.~\visualpar{} For
%             this screendump I loaded the samples on the first page of
%             \filesystem{synthslant-gauge.pdf} at a resolution of~600\,dpi into
%             \application{The Gimp}.  The \singlequotes{sample}~layer is aligned to the
%             letter~\singlequotes{t} in the word~\singlequotes{White}.  Note that accidentally
%             the letter~\singlequotes{H} of the next word~\singlequotes{Handgloves} confirms
%             the good match.}\label{fig:compare-with-the-gimp}
%  \end{figure}
%
%
%  \subsection{Exploring Further}\label{sec:exploring-further}
%
%  Once a usable slant value has been found it can be fed into \filesystem{synthslant-gauge.tex}
%  and --~after recompiling with the appropriate \LaTeX-engine~-- used to examine the details of
%  the slant operations.
%
%  Page~2, Sec.~3.1, \singlequotes{Copy}, shows wild mixes of different font shapes, native al
%  well as synthesized ones.  Here, the slanted glyphs as well as the upright italics should
%  blend well with the native italics/obliques and the normal font, respectively.
%
%  Page~3, Sec.~3.2 and following sub-sections, examines the coupling of
%  \packagename{synthslant} with the \TeX-system and some of its extensions.  If a slant engine
%  malfunctions, it will become evident on this page.
%
%
%  \clearpage
%  \section{Limitations and Known Problems}\label{sec:limitations}
%
%  Here I list some of the known problems of \packagename{syntslant}.  Conceivably there are
%  more.
%
%  \begin{description}
%  \item[All except \packagename{fontspec}.]
%    \packagename{Syntslant}~manipulations may not survive
%    (pre-)\discretionary{}{}{}processing by \MP.
%
%  \item[\packagename{l3draw} engine.]\index{package>\packagename{l3draw}}\mbox{}
%    \begin{itemize}
%    \item Depending of the shear direction the \packagename{l3draw} engine may generate some
%      extra positive or negative space at the ends of the text.
%
%    \item Any box sheared looses its depth; technically \cs{dp} becomes~0pt.
%
%    \item Markedly slower than the \acronym{PDF}-implementation!
%    \end{itemize}
%
%  \item[\pstrickslogo{} engine.]\index{package>\packagename{pstricks}}
%    The \pstrickslogo{} engine produces some extra space at the ends of the text.
%
%  \item[\tikzlogo{} engine.]\index{package>\packagename{tikz}}
%    The \tikzlogo{} engine produces some extra space at the ends of the text.
%  \end{description}
%
%
%  \clearpage
%  \section{Alternative Solution}\label{sec:alternative}
%
%  Here is an alternative to \packagename{synthslant} that I am aware of.  It changes the slant
%  of a font as a whole and it is impossible to undo the change within the document.
%
%
%  \subsection{Using \pdfTeX}\label{sec:alternative-pdftex}
%
%  In \pdfTeX{} fonts can be re-mapped in the document preamble with the
%  primitive~\cs{pdfmapline}; see the \pdfTeX{} Reference Manual~\cite[Sec.~6.1]{pdftex} for a
%  description of the syntax.  This possibility renders possible to splice in a slanting
%  operation on the fly.
%
%  Here is a simplified syntax of a font map line, which does not indicate any of the optional
%  parts for better readability:
%
%  \begin{multilinecodeexample}
%    \meta{tfm-name} \meta{ps-name} \meta{font-flags}  \\
%    \pushright "\meta{special}" <\meta{encoding-file} <\meta{font-file}
%  \end{multilinecodeexample}
%
%  \noindent where
%
%  \begin{itemize}[notopsep]
%  \item \meta{tfm-name} is the basename of the \TeX{} font-metric file~(\filesystem{*.tfm}),
%
%  \item \meta{ps-name} is the name the font will acquire inside of \TeX,
%
%  \item \meta{font-flags} optionally specify some characteristics of the font,
%
%  \item \meta{special} prescribes font manipulations in the same way as
%    \command{dvips}~\cite[Sec.~6.3]{dvips} does,
%
%  \item \meta{encoding-file} is the filename~(\filesystem{*.enc}) where the encoding to be used
%    with \meta{font-file} is stored, and
%
%  \item \meta{font-file} sets the filename of the font's definition.  It is given without path
%    but includes an extension, which typically is \filesystem{otf,} \filesystem{pfb,}
%    or~\filesystem{ttf.}
%  \end{itemize}
%
%  \noindent
%  We are particularly interested in the \meta{special}~part that allows us to slant the whole
%  font with a single instruction.
%
%  I want to elaborate the example given in \cref{sec:usage-ideas},
%  \cref{it:correct-italics-angle} and generate less-angled italics for
%  Libre~Caslon.\index{font>Libre Caslon} Here is a suitable map line taken from
%  \filesystem{pdftex.map} on my system:
%
%  \begin{multilinecodeexample}
%    LibreCsln-Italic-osf-t1--base LibreCsln-Italic  \\
%    \indent "\textvisiblespace AutoEnc\ttdots\textvisiblespace ReEncodeFont\textvisiblespace"  \\
%    \pushright <[lcsln\ttdots.enc <LibreCsln-Italic.pfb
%  \end{multilinecodeexample}
%
%  \smallskip
%
%  \noindent
%  which I had to break into three lines to make it fit this page.  The
%  \singlequotes{{\ttfamily\ttdots\,}} indicate parts of the identifiers that I left out beyond
%  that.  There are in fact four map lines for \code{T1}-encoded Libre~Caslon italics, those for
%  lining figures~\singlequotes{\code{lf}}, oldstyle figures~\singlequotes{\code{osf}}, tabular
%  lining figures~\singlequotes{\code{tlf}}, and tabular oldstyle
%  figures~\singlequotes{\code{osf}}.
%
%  The slant operation I want to add to the \meta{special}~part has the format:
%
%  \begin{codeexample}
%    \meta{slant}~SlantFont
%  \end{codeexample}
%
%  \noindent
%  so for a shear to the left, for example, \(\meta{slant} = -.12\), which means the font gets
%  slanted by~\(-8\degree\) the \meta{special}~part becomes
%
%  \begin{codeexample}
%    "\textvisiblespace -0.12\textvisiblespace SlantFont\textvisiblespace
%    AutoEnc\ttdots\textvisiblespace ReEncodeFont\textvisiblespace"
%  \end{codeexample}
%
%  \noindent
%  Finally, I select the modified font e.\,g.~with macro
%
%  \begin{codeexample}
%    \cs{usefont}\{\meta{encoding}\}\{\meta{family}\}\{\meta{series}\}\{\meta{shape}\}
%  \end{codeexample}
%
%  \noindent
%  See Ref.~\citenum{latex-unofficial-refman} for details.
%  In our case the call to \cs{usefont} is
%
%  \begin{codeexample}
%    \char`\\usefont\{T1\}\{LibreCsln-OsF\}\{regular\}\{it\}
%  \end{codeexample}
%
%  \begin{example}
%    Here is all the talk of above put into action as this very document contains exactly the
%    \cs{pdfmapline} just described.
%
%    \begin{center}
%      \def\sample{White Handgloves}
%      \begin{tabular}{@{}ll@{}}
%        Uncorrected, original italics  &  {\usefont{T1}{LibreCsln-LF}{regular}{it}\sample}  \\
%        Less angled version  &  {\usefont{T1}{LibreCsln-OsF}{regular}{it}\sample}
%      \end{tabular}
%    \end{center}
%
%    \noindent
%    The only trick I have to reveal is that for the \doublequotes{original italics} I used the
%    lining figures~\singlequotes{\code{lf}} version of the font, whereas the \doublequotes{less
%    angled} version shows the oldstyle figures~\singlequotes{\code{osf}} version.
%
%    The \TeX{} Font Metrics file (\acronym{TFM}) for this particular variant of Libre~Caslon
%    was not touched.
%  \end{example}
%
%
%  \subsection{Combining \LaTeX{} and \command{dvipdfmx}}\label{sec:alternative-latex}
%
%  The alternative when using \LaTeX{} is similar the one elaborated in the previous section.
%  The font mapline gets modified by \cs{special} primitive
%
%  \begin{codeexample}
%    \cs{special}\{pdf:mapline \meta{font-mapline}\}
%  \end{codeexample}
%
%  \noindent
%  that forwards the task of re-mapping the font, e.\,g.~to \command{dvipdfmx}.  Our running
%  example becomes
%
%  \begin{multilinecodeexample}
%    \cs{special}\{pdf:mapline  \\
%    \indent LibreCsln-Italic-osf-t1--base LibreCsln-Italic  \\
%    \indent "\textvisiblespace -0.12\textvisiblespace SlantFont\textvisiblespace
%    AutoEnc\ttdots\textvisiblespace
%    ReEncodeFont\textvisiblespace"  \\
%    \pushright <[lcsln\ttdots.enc <LibreCsln-Italic.pfb\}
%  \end{multilinecodeexample}
%
%  \noindent
%  The mapline contains \command{dvips}~options for special font effects; see
%  Ref.~\citenum{dvips}, Sec.~6.3.  Note that there is no \singlequotes{\code{=}}-sign at the
%  beginning of the \code{pdf:mapline} in contrast to \cs{pdfmapline}.
%
%  The font is activated in the same way as in the \acronym{PDF}-path
%  (\cref{sec:alternative-pdftex}).  The further translation of the resulting \acronym{DVI}-file
%  must be performed with an application that is aware of the \cs{special}~primitive as for
%  example~\command{dvipdfmx}~\cite{dvipdfmx} is.
%
%  \begin{note}
%    Despite the option syntax originates with \command{dvips} it is not able to interpret any
%    \code{\cs{special}\{pdf:mapline \ttdots\}}.
%  \end{note}
%
%
%  \clearpage
%  \appendix
%
%
%
%  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%
%  \MaybeStop{
%    \clearpage
%    \phantomsection
%    \resetfancyhead
%    \addcontentsline{toc}{section}{Change History}
%    \PrintChanges
%
%    \clearpage
%    \phantomsection
%    \addcontentsline{toc}{section}{References}
%    \begin{RaggedRight}
%      \begin{thebibliography}{88}
%      \bibitem{package:relsize}
%          \bibauthor{Arseneau, Donald}.
%          \bibtitle{The \textsf{relsize} package}.
%          2013,
%          \biburl{https://ctan.org/pkg/relsize}.
%
%      \bibitem{adobe-pdf-1.0}
%             \bibauthor{Bienz, Tim} and \bibauthor{Richard Cohn}.
%             \bibtitle{Portable Document Format Reference Manual}.
%             Addison-Wesley Publishing Company, Reading/MA,
%             1993,
%             \biburl{https://opensource.adobe.com/dc-acrobat-sdk-docs/pdfstandards/pdfreference1.0.pdf}.
%
%      \bibitem{package:babel}
%              \bibauthor{Bezos, Javier}.
%              \bibtitle{Package~\packagename{babel}}.
%              2021,
%              \biburl{https://ctan.org/pkg/babel}.
%              The original author of \packagename{babel} was \bibauthor{J. L. Braams}.
%
%      \bibitem{tex-stackexchange-2013-12-7}
%              \bibauthor{Carlisle, David}.
%              \bibtitle{Shear Transform a Box}.
%              2013-12-7,
%              \biburl{https://tex.stackexchange.com/questions/63179/shear-transform-a-box/63188}.
%
%      \bibitem{dvipdfmx}
%              \bibauthor{Dvipdfmx Project Team,} ed.
%              \bibtitle{\command{dvipdfmx}}.
%              2020,
%              \biburl{https://ctan.org/pkg/dvipdfmx}.
%
%      \bibitem{fntguide}
%              \bibauthor{\LaTeXIII{} Project Team,} ed.
%              \bibtitle{\LaTeXe{} font selection}.
%              2023,
%              \biburl{https://www.latex-project.org/help/documentation/fntguide.pdf}.
%
%      \bibitem{latex3-interfaces}
%              \bibauthor{\LaTeXIII{} Project,}
%              \bibtitle{The \LaTeXIII{} Interfaces}.
%              2024,
%              \biburl{https://texdoc.org/serve/interface3/0}.
%
%      \bibitem{latex-unofficial-refman}
%              \bibauthor{latexref.xyz}.
%              \bibtitle{\LaTeXe: An unofficial reference manual}.
%              2023,
%              \biburl{https://latexref.xyz/dev/latex2e.pdf}.
%
%      \bibitem{middendorp:2014}
%              \bibauthor{Middendorp, Jan}.
%              \bibtitle{Shaping Text}.
%              \acronym{BIS}~publishers, Amsterdam,
%              2014.
%
%      \bibitem{dvips}
%              \bibauthor{Rokicki, Tomas}.
%              \bibtitle{\command{dvips}}.
%              2022,
%              \biburl{https://tug.org/texlive/Contents/live/texmf-dist/doc/dvips/dvips.pdf}.
%
%      \bibitem{package:microtype}
%              \bibauthor{Schlicht, Robert}.
%              \bibtitle{Package~\packagename{microtype}}.
%              2020,
%              \biburl{https://ctan.org/pkg/microtype}.
%
%      \bibitem{schroeder:2007}
%              \bibauthor{Schr\"oder, Martin}.
%              \bibtitle{pdftex 1.40}.
%              2007,
%              \biburl{https://tug.org/mail-archives/pdftex/2007-January/006910.html}.
%
%     \bibitem{stamm:2020}
%              \bibauthor{Stamm, Philipp}.
%              \bibtitle{Schrifttypen -- Verstehen Kombinieren:
%                        Schriftmischung als Reiz in der Typografie}.
%              Birkhäuser, Basel,
%              2020.
%
%      \bibitem{strizver:2014}
%              \bibauthor{Strizver, Ilene}.
%              \bibtitle{Type rules!: the designer's guide to professional typography},
%              4\textsuperior{th}~ed.
%              John Wiley~\& Sons, Hoboken/NJ,
%              2014.
%
%      \bibitem{baskerville-pdftex-8-1:1998}
%              \bibauthor{Th\`anh, Han The}.
%              \bibtitle{The \pdfTeX{} user manual}.
%              Baskerville, 8(1), 9--14 (1998),
%              \biburl{http://uk-tug-archive.tug.org/wp-installed-content/uploads/2008/12/81.pdf}.
%
%      \bibitem{pdftex}
%              \bibauthor{Th\`anh, Han The} et al.
%              \bibtitle{\pdfTeX}.
%              2023,
%              \biburl{http://mirrors.ctan.org/systems/doc/pdftex/manual/pdftex-a.pdf}.
%      \end{thebibliography}
%    \end{RaggedRight}
%
%
%    \clearpage
%    \begin{RaggedRight}
%      \setcounter{IndexColumns}{2}
%      \setlength{\columnsep}{30pt}
%      \label{sec:index}
%      \phantomsection
%      \addcontentsline{toc}{section}{Index}
%      \PrintIndex
%    \end{RaggedRight}
%  }
%
%
%  \clearpage
%  \section{Package Code}\label{sec:package-code}
%  \addtocontents{toc}{\begingroup\small}
%  \addtocontents{toc}{\protect\begin{multicols}{2}}
%  \addtocontents{toc}{\protect\raggedcolumns}
%
%  This is the \doublequotes{Reference Manual} section of the documentation
%  where we describe the package's code
%  and explain its implementation details.
%
%
%    \begin{macrocode}
%<*package>
\NeedsTeXFormat{LaTeX2e}[2005/12/01]
\ProvidesPackage{synthslant}
                [2024/05/07  v0.1  Synthetically Slant glyphs]

\RequirePackage{iftex}
\RequirePackage{xkeyval}

%    \end{macrocode}
%
%
%  \subsection{Declaration of Default Slants}
%
%  \begin{macro}{\synthslant}
%    Introduce a reasonable default for the slant.  Let the user override it if she knows
%    better.
%
%    Remember that the slant is not an angle (with respect to the \(y\)-axis), but the sine of
%    it; The value~\(.2\) approximately corresponds to a slant-angle of 12\textdegree\!.
%
%    \begin{macrocode}
\providecommand*{\synthslant}{.2}
%    \end{macrocode}
%  \end{macro}
%
%
%  \begin{macro}{\synthnegslant}
%    Also introduce a reasonable default for the negative slant, which is used for upright
%    italics.
%
%    \begin{macrocode}
\providecommand*{\synthnegslant}{-.2}

%    \end{macrocode}
%  \end{macro}
%
%
%  \subsection{Selection of Slant-Engine}
%
%  We provide several methods to slant glyphs.  The actual slanting is delegated to a
%  \singlequotes{slant-engine} which shears the glyphs.
%
%  \begin{macro}{\synthslant@engine}
%    Default to automatic selection of the slant engine.
%
%    \begin{macrocode}
\def\synthslant@engine{-1}

%    \end{macrocode}
%  \end{macro}
%
%  Expose default forward and backward slant values as package options.
%
%    \begin{macrocode}
\DeclareOptionX{slant}{%
  \xdef\synthslant{\fpeval{#1}}%
  \xdef\synthnegslant{\fpeval{-(#1)}}}
\DeclareOptionX{negslant}{\xdef\synthnegslant{\fpeval{#1}}}
\DeclareOptionX{posslant}{\xdef\synthslant{\fpeval{#1}}}

%    \end{macrocode}
%
%  Make slant-engine selection configurable.
%
%    \begin{macrocode}
\DeclareOptionX{auto}{\def\synthslant@engine{-1}}
\DeclareOptionX{PDF}{\def\synthslant@engine{0}}
\DeclareOptionX{pdf}{\def\synthslant@engine{0}}
\DeclareOptionX{l3draw}{\def\synthslant@engine{1}}
\DeclareOptionX{ps}{\def\synthslant@engine{2}}
\DeclareOptionX{PS}{\def\synthslant@engine{2}}
\DeclareOptionX{tikz}{\def\synthslant@engine{3}}
\DeclareOptionX{TikZ}{\def\synthslant@engine{3}}
\DeclareOptionX{fontspec}{\def\synthslant@engine{4}}
\DeclareOptionX{disable}{\def\synthslant@engine{10000}}

\ProcessOptionsX\relax

%    \end{macrocode}
%
%  Require sane parameter values.
%
%    \begin{macrocode}
\ExplSyntaxOn
\fp_compare:nNnTF {\synthslant} < {.0}
  {\PackageError{synthslant}{\string\synthslant\space <\space 0}
                {Pass\space a\space value\space that\space is\space non-negative.}}
  {}
\fp_compare:nNnTF {\synthnegslant} > {.0}
  {\PackageError{synthslant}{\string\synthnegslant\space >\space 0}
                {Pass\space a\space value\space that\space is\space non-positive.}}
  {}
\ExplSyntaxOff

%    \end{macrocode}
%
%  Announce the positive and negative slant values now that we are sure they are ok.  This may
%  be useful information if the user passed a (complicated) floating-point expression and wants
%  to know how \LaTeX{} did evaluate it.
%
%    \begin{macrocode}
\PackageInfo{synthslant}{\string\synthslant=\synthslant}
\PackageInfo{synthslant}{\string\synthnegslant=\synthnegslant}


%    \end{macrocode}
%
%
%  \subsection{Slant Engines}
%
%  The auto-selection code is pretty trivial.  If we identify \pdfTeX{} running we select the
%  \acronym{PDF}-engine, for \LuaLaTeX{} we select the \packagename{fontspec}-engine, and in all
%  other cases we let the \packagename{l3draw}-layer handle the shearing.
%
%    \begin{macrocode}
\ifnum\synthslant@engine<0
  \PackageInfo{synthslant}{auto-selecting slant engine}

  \ifpdftex
    \ifnum\pdfoutput>0
      \def\synthslant@engine{0}
    \else
      \def\synthslant@engine{1}
    \fi
  \else
    \ifluatex
      \def\synthslant@engine{4}
    \else
      \def\synthslant@engine{1}
    \fi
  \fi
\fi


%    \end{macrocode}
%
%
%  \begin{macro}{\synthslant@shear@box}
%    The various slant engine macros are all subsumed under \cs{synthslant@\-shear@\-box}.  So
%    the higher-level code becomes (almost) engine independent.
%  \end{macro}
%
%
%  \begin{macro}{\synthslant@engine@name}
%    Sometimes we would like to recover the (printable) name of the selected slant engine.
%
%    \begin{macrocode}
\newcommand*{\synthslant@engine@name}{%
  \ifcase\synthslant@engine
    PDF%
  \or% 1
    l3draw%
  \or% 2
    PSTricks%
  \or% 3
    TikZ%
  \or% 4
    fontspec%
  \else
    null-implementation%
  \fi
}

%    \end{macrocode}
%  \end{macro}
%
%
%  \subsubsection{\acronym{PDF} Slant Engine}
%
%  The \acronym{PDF}-engine works well and it is the best tested alternative.
%
%    \begin{macrocode}
\ifcase\synthslant@engine%  0: PDF
  \PackageInfo{synthslant}{shearing done by PDF}

  \newbox{\synthslant@box}

%    \end{macrocode}
%  \begin{macro}{\synthslant@pdf@shear@box}
%    \begin{macrocode}
  \newcommand*{\synthslant@pdf@shear@box}[2]{%
    \mbox{\sbox{\synthslant@box}{#2}%
          \hskip\wd\synthslant@box
          \pdfsave
          \pdfsetmatrix{1 0 #1 1}%
          \llap{\usebox{\synthslant@box}}%
          \pdfrestore}%
  }

%    \end{macrocode}
%  \end{macro}
%    \begin{macrocode}
  \let\synthslant@shear@box=\synthslant@pdf@shear@box
%    \end{macrocode}
%
%
%  \subsubsection{\packagename{l3draw} Slant Engine}
%
%  Using \LaTeXIII{} may be like cheating on a very high level as the draw subsystem may
%  delegate to the \acronym{PDF}-engine itself.  \acronym{LOL!}
%
%    \begin{macrocode}
\or%  1: LaTeX3 draw subsystem
  \PackageInfo{synthslant}{shearing delegated to l3draw}

  \RequirePackage{l3draw}

  \ExplSyntaxOn
%    \end{macrocode}
% \begin{macro}{\synthslant@latex@shear@box}
%   Slanting implemented with the experimental l3draw subsystem.
%
%   \begin{anticipatedchange}
%     As soon as the l3kernel offers an x-shear operation (\cs{box\_xshear:Nn}?) we shall ditch
%     this implementation and switch to the one that is tailored to \emph{text} instead of the
%     current one for graphics.
%   \end{anticipatedchange}
%
%    \begin{macrocode}
  \NewDocumentCommand{\synthslant@latex@shear@box}{mm}{
    \hbox_set:Nn \l_tmpa_box {#2}
    \dim_set:Nn \l_tmpa_dim {\box_wd:N \l_tmpa_box}
    \dim_set:Nn \l_tmpb_dim {\box_ht:N \l_tmpa_box}
    \draw_begin:
      \draw_transform_xslant:n {#1}
%    \end{macrocode}
%
%   Force the baseline of the payload (\#2) to coincide with the baseline of the surrounding
%   text.  This --~of course~-- screws up our bounding box at least vertically.
%
%    \begin{macrocode}
      \box_set_dp:Nn \l_tmpa_box {\z@}
%    \end{macrocode}
%
%   Here comes a fudge because the l3draw bounding boxes are way too loose.  For positive
%   slants: shrink the box-width by the box-height times~\meta{slant}.  For negative slants:
%   shrink the box-width as for positive slants and in addition shift the payload to the left by
%   the box-height times~\meta{slant}.
%
%    \begin{macrocode}
      \fp_compare:nNnTF {#1} >= {.0}
        {
          \box_set_wd:Nn \l_tmpa_box {\l_tmpa_dim - #1\l_tmpb_dim}
        }
        {
          \draw_suspend_begin:
            \kern#1\l_tmpb_dim
          \draw_suspend_end:
          \box_set_wd:Nn \l_tmpa_box {\l_tmpa_dim + #1\l_tmpb_dim}
        }
%    \end{macrocode}
%
%   Now typeset the box.
%
%    \begin{macrocode}
      \draw_box_use:N \l_tmpa_box
    \draw_end:
  }
%    \end{macrocode}
%  \end{macro}
%    \begin{macrocode}
  \ExplSyntaxOff

  \let\synthslant@shear@box=\synthslant@latex@shear@box
%    \end{macrocode}
%
%
%  \subsubsection{\pstrickslogo{} Slant Engine}
%
%  Shearing via \pstrickslogo{} works, but exhibits a weird interface.
%
%    \begin{macrocode}
\or%  2: PSTricks
  \PackageInfo{synthslant}
              {shearing deferred to PostScript via PSTricks}

  \RequirePackage{pst-3d}% \pstilt

%    \end{macrocode}
%
%  Package~\packagename{pstricks} offers \cs{pstilt} and \cs{psTilt} both with typographically
%  sub-optimal outcomes.
%
%  \begin{macro}{\synthslant@pstricks@shear@box}
%    \begin{macrocode}
  \newcommand*{\synthslant@pstricks@shear@box}[2]{%
    \pstilt{\fpeval{57.2958 * acos(#1)}}{#2}%
  }

%    \end{macrocode}
%  \end{macro}
%    \begin{macrocode}
  \let\synthslant@shear@box=\synthslant@pstricks@shear@box
%    \end{macrocode}
%
%
%  \subsubsection{\tikzlogo{} Slant Engine}
%
%  The \tikzlogo{} code has not been tested thoroughly yet, but it looks like it could work
%  after some tweaking.
%
%    \begin{macrocode}
\or%  3: TikZ
  \PackageInfo{synthslant}{shearing by TikZ}

  \RequirePackage{tikz}

%    \end{macrocode}
%  \begin{macro}{\synthslant@tikz@shear@box}
%    \begin{macrocode}
  \newcommand*{\synthslant@tikz@shear@box}[2]{%
    \tikz[baseline = (ANCHOR.base), xslant = #1]
    \node[inner sep = 0pt, xslant = #1] (ANCHOR) {#2};
  }

%    \end{macrocode}
%  \end{macro}
%    \begin{macrocode}
  \let\synthslant@shear@box=\synthslant@tikz@shear@box
%    \end{macrocode}
%
%
%  \subsubsection{\packagename{fontspec}}
%
%  The \packagename{fontspec} works particularly well, but it does not jibe with \pdfTeX.
%
%    \begin{macrocode}
\or%  4: fontspec
  \PackageInfo{synthslant}
              {use fontspec's artificial font transformations}

  \RequirePackage{fontspec}

  \ExplSyntaxOn
%    \end{macrocode}
%  \begin{macro}{\synthslantbox@fontspect@shear@box}
%    \begin{macrocode}
  \newcommand*{\synthslantbox@fontspect@shear@box}[2]{
    \begingroup
    \expandafter\fontspec[FakeSlant = #1]{\l_fontspec_family_tl}
    #2
    \endgroup
  }
%    \end{macrocode}
%  \end{macro}
%    \begin{macrocode}
  \ExplSyntaxOff

  \let\synthslant@shear@box=\synthslantbox@fontspect@shear@box
%    \end{macrocode}
%
%
%  \subsubsection{Null Implementation}
%
%  The null implementation --~which does exactly what its name implies~-- can be useful for
%  debugging or to get rid of the effect temporarily.
%
%    \begin{macrocode}
\else%  >=5: Null implementation
  \PackageWarning{synthslant}{shearing disabled}

%    \end{macrocode}
%  \begin{macro}{\synthslant@identity@shear@box}
%    \begin{macrocode}
  \newcommand*{\synthslant@identity@shear@box}[2]{#2}

%    \end{macrocode}
%  \end{macro}
%    \begin{macrocode}
  \let\synthslant@shear@box=\synthslant@identity@shear@box
\fi


%    \end{macrocode}
%
%
%  \subsection{Generic Slant Code}
%
%  Here comes the engine-independent code.
%
%  \begin{macro}{\synthslant@nolinebreak}
%    The \LaTeXIII{} and \tikzlogo{} engines break lines at \singlequotes{unexpected} points.
%    Here is a duct-tape solution for them that concretes together the adajacent parts.
%
%    \begin{macrocode}
\def\synthslant@nolinebreak{%
  \ifnum\synthslant@engine=1% l3draw
    \nolinebreak
  \else
    \ifnum\synthslant@engine=3% TikZ
      \nolinebreak
    \fi
  \fi
}

%    \end{macrocode}
%  \end{macro}
%
%
%  \begin{macro}{\synthslantbox@soft@hyphen}
%    Allow for line breaks at hyphenation opportunities~(\singlequotes{\cs{-}}).
%
%    \begin{macrocode}
\def\synthslantbox@soft@hyphen#1\-#2\relax{%
  \synthslant@shear@box{\synthslant@slant@value}{#1}%
  \ifx\relax#2%
    \relax
  \else
    \synthslant@nolinebreak
    \discretionary{-}{}{}%
    \synthslantbox@soft@hyphen#2\relax
  \fi
}

%    \end{macrocode}
%  \end{macro}
%
%  \begin{macro}{\synthslantbox@hard@hyphen}
%    Allow for line breaks at embedded, explicit hyphens~(\singlequotes{-}).
%
%    \begin{macrocode}
\def\synthslantbox@hard@hyphen#1-#2\relax{%
  \synthslantbox@soft@hyphen#1\-\relax
  \ifx\relax#2%
    \relax
  \else
    \synthslant@nolinebreak
    \synthslant@shear@box{\synthslant@slant@value}{-}%
    \synthslant@nolinebreak
    \discretionary{}{}{}%
    \synthslantbox@hard@hyphen#2\relax
  \fi
}

%    \end{macrocode}
%  \end{macro}
%
%  \begin{macro}{\synthslantbox@space}
%    Allow for line breaks at embedded spaces~(\singlequotes{\textvisiblespace}).
%
%    \begin{macrocode}
\def\synthslantbox@space#1 #2\relax{%
  \synthslantbox@hard@hyphen#1-\relax
  \ifx\relax#2%
    \relax
  \else
    \space
    \synthslantbox@space#2\relax
  \fi
}

%    \end{macrocode}
%  \end{macro}
%
%  \begin{macro}{\synthslantbox}
%    We define two completely different implementations depending on the request for
%    \packagename{fontspec} doing the slanting or any other package.
%
%    Macro~1: Immediately call the \packagename{fontspec}-specific macro.  Bypass the hierarchy
%    needed for the other slant engines.
%
%    \begin{macrocode}
\ifnum\synthslant@engine=4% fontspec
  \newrobustcmd*{\synthslantbox}[2]{%
    \edef\synthslant@slant@value{#1}% definition for compatibility of both branches
    \synthslantbox@fontspect@shear@box{\synthslant@slant@value}{#2}%
  }
%    \end{macrocode}
%
%    Macro~2: This is the firestarter for the processing of all different kinds breakpoints
%    until we reach unbreakable chunks to be passed on to the selected slant engine.
%
%    Normally, a user wants to call \cs{text\-synth\-slant} or
%    \cs{text\-synth\-up\-right\-italic}, however \LaTeX~wizards may have other ideas.
%
%    \begin{macrocode}
\else
  \newrobustcmd*{\synthslantbox}[2]{%
    \edef\synthslant@slant@value{#1}%
    \expandafter\synthslantbox@space#2 \relax\relax
  }
\fi

%    \end{macrocode}
%  \end{macro}
%
%  \begin{macro}{\synthslantbox@right@slant@correction}
%    This is a simple yet surprisingly effective heuristic for slant correction on the
%    right-hand side if the slanted text.  The value~\cs{synthslant} is \(\sin \alpha\), where
%    \(\alpha\) is the slant angle; see \cref{equ:shear-transformation} on
%    \cpageref{equ:shear-transformation}.  Multiplied with the ex-height of the current font,
%    \cs{fontdimen5}, this is a good approximation of the necessary slant correction.
%
%    \begin{macrocode}
\newcommand*{\synthslantbox@right@slant@correction}{%
  \dimen0=\fontdimen5\font
  \kern\synthslant\dimen0\relax
}

%    \end{macrocode}
%  \end{macro}
%
%  \begin{macro}{\slantcontext}
%    If we have \packagename{microtype} support we enter the context defined by this macro in
%    |slantenvironment|.
%
%    \begin{macrocode}
\newcommand*{\slantcontext}{tracking=synthslant}

%    \end{macrocode}
%  \end{macro}
%
%  \begin{environment}{slantenvironment}
%    We use this environment as a pair of hooks that are called right before and right after the
%    actual slanting code runs.  The default sets up an upright type shape before and adds some
%    italic correction after slanting.
%
%    \begin{macrocode}
\NewDocumentEnvironment{slantenvironment}{}
  {\upshape
   \ifcsdef{microtypecontext}
           {\expandafter\microtypecontext\expandafter{\slantcontext}}
           {}}
  {\ifcsdef{endmicrotypecontext}
           {\endmicrotypecontext}
           {}%
   \synthslantbox@right@slant@correction}

%    \end{macrocode}
%  \end{environment}
%
%  \begin{macro}{\textsynthslant}
%    User-level macro to slant some text.
%
%    \begin{macrocode}
\NewDocumentCommand{\textsynthslant}{m}
  {\ifmmode
     \synthslantbox{\synthslant}{#1}%
   \else
     {\slantenvironment
      \synthslantbox{\synthslant}{#1}%
      \endslantenvironment}%
   \fi}

%    \end{macrocode}
%  \end{macro}
%
%  \begin{macro}{\synthslantbox@right@negslant@correction}
%    We could play the same trick here as in \cs{synthslantbox@right@slant@correction} and use
%    \cs{synthnegslant} instead of \cs{synthslant}.  But my experiments show no need for a
%    correction.  Anyhow, this macro may be convenient to override someday.
%
%    \begin{macrocode}
\newcommand*{\synthslantbox@right@negslant@correction}{}

%    \end{macrocode}
%  \end{macro}
%
%  \begin{macro}{\negslantcontext}
%    If we have \packagename{microtype} support we enter the context defined by this macro in
%    |negslantenvironment|.
%
%    \begin{macrocode}
\newcommand*{\negslantcontext}{tracking=synthnegslant}

%    \end{macrocode}
%  \end{macro}
%
%  \begin{environment}{negslantenvironment}
%    We use this environment as a pair of hooks that are called right before and right after the
%    actual un-slanting code runs.
%
%    The default sets up an italics shape before un-slanting and adds some negative italic
%    correction after un-slanting.
%
%    \begin{macrocode}
\NewDocumentEnvironment{negslantenvironment}{}
  {\itshape
   \ifcsdef{microtypecontext}
           {\expandafter\microtypecontext\expandafter{\negslantcontext}}
           {}}
  {\ifcsdef{endmicrotypecontext}
           {\endmicrotypecontext}
           {}%
   \synthslantbox@right@negslant@correction}

%    \end{macrocode}
%  \end{environment}
%
%  \begin{macro}{\textsynthuprightitalic}
%    User-level macro to un-slant some italics or oblique text.
%
%    \begin{macrocode}
\NewDocumentCommand{\textsynthuprightitalic}{m}
  {\ifmmode
     \synthslantbox{\synthnegslant}{#1}%
   \else
     {\negslantenvironment
      \synthslantbox{\synthnegslant}{#1}%
      \endnegslantenvironment}%
   \fi}

%    \end{macrocode}
%  \end{macro}
%
%
%
%  \iffalse
%</package>
%  \fi
%
%
%  \addtocontents{toc}{\protect\end{multicols}}
%  \addtocontents{toc}{\endgroup}
%
%
%  \Finale
%
%
%
%
%  \iffalse
%  <DISABLE-SPELL-CHECK>
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%</compare-with-the-gimp>
%  </DISABLE-SPELL-CHECK>
%  \fi
%
%
%  \iffalse
%<*gauge>
\documentclass[a4paper]{article}

\usepackage{booktabs}
\usepackage[tracking=alltext, letterspace=0, verbose]{microtype}
\usepackage{multicol}
\usepackage{parskip}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%%  Setup SyntSlant and Load Font
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\usepackage[]{synthslant}% auto/disable; fontspec/l3draw/pdf/ps/tikz
%--\usepackage[fontspec, posslant = .16, negslant = -.14]{synthslant}

%%
%%  All LaTeX Variants
%%
\usepackage[T1]{fontenc}
%%--\usepackage{ebgaramond}\def\synthslant{.3}\def\synthnegslant{-.27}
%%--\usepackage{librecaslon}\def\synthslant{.38}\def\synthnegslant{-.33}
%%--\usepackage{merriweather}\def\synthslant{.14}\def\synthnegslant{-.12}
\usepackage{mlmodern}\def\synthslant{.23}\def\synthnegslant{-.21}
%%--\usepackage{spectral}\def\synthslant{.18}\def\synthnegslant{-.15}

%%
%%  Requires e.g. LuaLaTeX
%%
%%--\usepackage{CharisSIL}% say: `make LATEX=lualatex gauge'

%%
%%  Preload a reasonable font (triple?) if we work with fontspec
%%  and have not already done so, e.g., by saying `\usepackage{...}'.
%%
\ExplSyntaxOn
\sys_if_engine_luatex:T
  {
    \cs_if_exist:NTF \l_fontspec_font
      {}
      {
        \setmainfont{TeX Gyre Pagella}
        \def\synthslant{.16}
        \def\synthnegslant{-.14}
      }
  }
\ExplSyntaxOff


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%
%%  End Setup/Load Font
%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


\renewcommand*{\arraystretch}{1.12}

\newcommand*{\code}[1]{\texttt{#1}}

\newcommand*{\cs}[1]{\texttt{\char`\\#1}}

\newcommand*{\doublealphabet}
            {ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789}
\newcommand*{\doublealphabethyp}
            {A\-B\-C\-D\-E\-F\-G\-H\-I\-J\-K\-L\-M\-N\-O\-P\-Q\-R\-S\-T\-U\-V\-W\-X\-Y\-Z\-%
              a\-b\-c\-d\-e\-f\-g\-h\-i\-j\-k\-l\-m\-n\-o\-p\-q\-r\-s\-t\-u\-v\-w\-x\-y\-z\-%
              0\-1\-2\-3\-4\-5\-6\-7\-8\-9}

\newcommand*{\fontsample}{aefgiv}
\newcommand*{\FontSample}{White Handgloves}
\newcommand*{\FONTSAMPLE}{H\AA{}MB\"URG\'EF\O{}\~N\v{S}}

\newcommand*{\generictextfraction}[2]
            {\mbox{\raisebox{.4em}[0pt]{\scriptsize #1}%
                   \hspace*{-.1em}\textfractionsolidus\hspace*{-.1em}%
                   \raisebox{-.1em}[0pt][0pt]{\scriptsize #2}}}

\newcommand*{\longfontsample}{The quick brown fox jumps over the lazy dog.}

\newcommand*{\measurewidth}[1]{\setbox0=\hbox{#1}\the\wd0\space}

\newcommand*{\packagename}[1]{\mbox{\textsf{#1}}}

\newcommand*{\showbaseline}{\space\rule{.5em}{.4pt}\space}

\newcommand*{\showboundingbox}[1]{
  {\setlength{\fboxsep}{0pt}
   \setlength{\fboxrule}{.4pt}
   \framebox{#1}}
}

\let\slbox=\synthslantbox

\makeatletter
\newcommand*{\thewidthdiffof}[2]
            {\setbox0=\hbox{#2}
             \dimen0=\dimexpr\wd0 - #1\relax
             \strip@pt\dimen0}
\newcommand*{\thewidthof}[1]
            {\setbox0=\hbox{#1}
             \dimen0=\dimexpr\numexpr\dimexpr\wd0 * 10\relax/65536\relax pt / 10\relax
             \strip@pt\dimen0}
\makeatother


\addtolength{\textheight}{\headheight}
\addtolength{\textheight}{\headsep}
\setlength{\headheight}{0pt}
\setlength{\headsep}{0pt}

\setlength{\overfullrule}{3pt}


\pagestyle{plain}


\begin{document}
{\huge\sf\bfseries SyntSlant Calibration Sheet\par\bigskip}

Selected slant engine: \makeatletter\synthslant@engine@name\makeatother.
Font name: \fontname\font.


\section{Shapes of Selected Font}

\begin{center}
  \begin{tabular}{@{}lllll@{}}
    \toprule
    Shape  &  Code Seq.  &  L.case  &  Mixed Case   &  Uppercase  \\
    \midrule
    Normal  &
    \cs{normalfont}  &  {\normalfont\fontsample}  &  {\normalfont\FontSample}  &  {\normalfont\FONTSAMPLE}  \\
    Italics  &
    \cs{itshape}  &  {\itshape\fontsample}  &  {\itshape\FontSample}  &  {\itshape\FONTSAMPLE}  \\
    \bottomrule
  \end{tabular}
\end{center}


\section{Slanted Samples}

\begin{center}
  \begin{tabular}{@{}llll@{}}
    \toprule
    Slant  &  L.case  &  Mixed Case  &  Uppercase  \\
    \midrule
    .10  &  \slbox{.10}{\fontsample}  &  \slbox{.10}{\FontSample}  &  \slbox{.10}{\FONTSAMPLE}  \\
    .11  &  \slbox{.11}{\fontsample}  &  \slbox{.11}{\FontSample}  &  \slbox{.11}{\FONTSAMPLE}  \\
    .12  &  \slbox{.12}{\fontsample}  &  \slbox{.12}{\FontSample}  &  \slbox{.12}{\FONTSAMPLE}  \\
    .13  &  \slbox{.13}{\fontsample}  &  \slbox{.13}{\FontSample}  &  \slbox{.13}{\FONTSAMPLE}  \\
    .14  &  \slbox{.14}{\fontsample}  &  \slbox{.14}{\FontSample}  &  \slbox{.14}{\FONTSAMPLE}  \\
    .15  &  \slbox{.15}{\fontsample}  &  \slbox{.15}{\FontSample}  &  \slbox{.15}{\FONTSAMPLE}  \\
    .16  &  \slbox{.16}{\fontsample}  &  \slbox{.16}{\FontSample}  &  \slbox{.16}{\FONTSAMPLE}  \\
    .17  &  \slbox{.17}{\fontsample}  &  \slbox{.17}{\FontSample}  &  \slbox{.17}{\FONTSAMPLE}  \\
    .18  &  \slbox{.18}{\fontsample}  &  \slbox{.18}{\FontSample}  &  \slbox{.18}{\FONTSAMPLE}  \\
    .19  &  \slbox{.19}{\fontsample}  &  \slbox{.19}{\FontSample}  &  \slbox{.19}{\FONTSAMPLE}  \\[.25em]
    .20  &  \slbox{.20}{\fontsample}  &  \slbox{.20}{\FontSample}  &  \slbox{.20}{\FONTSAMPLE}  \\
    .21  &  \slbox{.21}{\fontsample}  &  \slbox{.21}{\FontSample}  &  \slbox{.21}{\FONTSAMPLE}  \\
    .22  &  \slbox{.22}{\fontsample}  &  \slbox{.22}{\FontSample}  &  \slbox{.22}{\FONTSAMPLE}  \\
    .23  &  \slbox{.23}{\fontsample}  &  \slbox{.23}{\FontSample}  &  \slbox{.23}{\FONTSAMPLE}  \\
    .24  &  \slbox{.24}{\fontsample}  &  \slbox{.24}{\FontSample}  &  \slbox{.24}{\FONTSAMPLE}  \\
    .25  &  \slbox{.25}{\fontsample}  &  \slbox{.25}{\FontSample}  &  \slbox{.25}{\FONTSAMPLE}  \\
    .26  &  \slbox{.26}{\fontsample}  &  \slbox{.26}{\FontSample}  &  \slbox{.26}{\FONTSAMPLE}  \\
    .27  &  \slbox{.27}{\fontsample}  &  \slbox{.27}{\FontSample}  &  \slbox{.27}{\FONTSAMPLE}  \\
    .28  &  \slbox{.28}{\fontsample}  &  \slbox{.28}{\FontSample}  &  \slbox{.28}{\FONTSAMPLE}  \\
    .29  &  \slbox{.29}{\fontsample}  &  \slbox{.29}{\FontSample}  &  \slbox{.29}{\FONTSAMPLE}  \\[.25em]
    .30  &  \slbox{.30}{\fontsample}  &  \slbox{.30}{\FontSample}  &  \slbox{.30}{\FONTSAMPLE}  \\
    .31  &  \slbox{.31}{\fontsample}  &  \slbox{.31}{\FontSample}  &  \slbox{.31}{\FONTSAMPLE}  \\
    .32  &  \slbox{.32}{\fontsample}  &  \slbox{.32}{\FontSample}  &  \slbox{.32}{\FONTSAMPLE}  \\
    .33  &  \slbox{.33}{\fontsample}  &  \slbox{.33}{\FontSample}  &  \slbox{.33}{\FONTSAMPLE}  \\
    .34  &  \slbox{.34}{\fontsample}  &  \slbox{.34}{\FontSample}  &  \slbox{.34}{\FONTSAMPLE}  \\
    .35  &  \slbox{.35}{\fontsample}  &  \slbox{.35}{\FontSample}  &  \slbox{.35}{\FONTSAMPLE}  \\
    .36  &  \slbox{.36}{\fontsample}  &  \slbox{.36}{\FontSample}  &  \slbox{.36}{\FONTSAMPLE}  \\
    .37  &  \slbox{.37}{\fontsample}  &  \slbox{.37}{\FontSample}  &  \slbox{.37}{\FONTSAMPLE}  \\
    .38  &  \slbox{.38}{\fontsample}  &  \slbox{.38}{\FontSample}  &  \slbox{.38}{\FONTSAMPLE}  \\
    .39  &  \slbox{.39}{\fontsample}  &  \slbox{.39}{\FontSample}  &  \slbox{.39}{\FONTSAMPLE}  \\
    \bottomrule
  \end{tabular}
\end{center}


\clearpage
\section{Examples}

\let\r=\textrm
\let\i=\textit
\let\u=\textsynthuprightitalic
\let\y=\textsynthslant

The current slant values are
\mbox{\cs{synthslant}\:=\:\synthslant} and
\mbox{\cs{synthnegslant}\:=\:\synthnegslant}.


\subsection{Copy}

We mix different shapes to gauge the homogeneity of slant angles and
overall gray values.  Some overfull horizontal boxes are possible even with
package~\packagename{microtype} being active.

\setlength{\columnsep}{20pt}
\begin{multicols}{2}\fussy
  \setlength{\overfullrule}{3pt}
  \paragraph{Roman/Italics.}\leavevmode

  \r{Grumpy} \i{wizards} \r{make} \i{toxic} \r{brew} \i{for} \r{the} \i{evil} \r{Queen} \i{and} \r{Jack.}
  \r{One} \i{morning,} \r{when} \i{Gregor} \r{Samsa} \i{woke} \r{from} \i{troubled} \r{dreams,}
  \r{he} \i{found} \r{himself} \i{transformed} \r{in} \i{his} \r{bed} \i{into} \r{a} \i{horrible} \r{vermin.}
  \r{He} \i{lay} \r{on} \i{his} \r{armour-like} \i{back,}
  \r{and} \i{if} \r{he} \i{lifted} \i{his} \r{head}
  \r{a} \i{little} \r{he} \i{could} \r{see} \i{his} \r{brown} \i{belly,}
  \r{slightly} \i{domed} \r{and} \i{divided} \r{by} \i{arches} \r{into} \i{stiff} \r{sections.}
  \r{The} \i{bedding} \r{was} \i{hardly} \r{able} \i{to}
  \r{cover} \i{it} \r{and} \i{seemed} \r{ready} \i{to} \r{slide} \i{off} \r{any} \i{moment.}
  \r{His} \i{many} \r{legs,}
  \r{pitifully} \i{thin} \r{compared} \i{with} \r{the} \i{size} \r{of} \i{the} \r{rest} \i{of} \r{him,}
  \r{waved} \i{about} \r{helplessly} \i{as} \r{he} \i{looked.}


  \paragraph{Roman/Slanted Roman.}\leavevmode

  \r{Grumpy} \y{wizards} \r{make} \y{toxic} \r{brew} \y{for} \r{the} \y{evil} \r{Queen} \y{and} \r{Jack.}
  \r{One} \y{morn\-ing,} \r{when} \y{Gregor} \r{Samsa} \y{woke} \r{from} \y{trou\-bled} \r{dreams,}
  \r{he} \y{found} \r{himself} \y{trans\-formed} \r{in} \y{his} \r{bed} \y{into} \r{a} \y{hor\-ri\-ble} \r{vermin.}
  \r{He} \y{lay} \r{on} \y{his} \r{armour-like} \y{back,}
  \r{and} \y{if} \r{he} \y{lifted} \y{his} \r{head}
  \r{a} \y{little} \r{he} \y{could} \r{see} \y{his} \r{brown} \y{belly,}
  \r{slightly} \y{domed} \r{and} \y{divided} \r{by} \y{arches} \r{into} \y{stiff} \r{sections.}
  \r{The} \y{bedding} \r{was} \y{hardly} \r{able} \y{to}
  \r{cover} \y{it} \r{and} \y{seemed} \r{ready} \y{to} \r{slide} \y{off} \r{any} \y{mo\-ment.}
  \r{His} \y{many} \r{legs,}
  \r{pitifully} \y{thin} \r{compared} \y{with} \r{the} \y{size} \r{of} \y{the} \r{rest} \y{of} \r{him,}
  \r{waved} \y{about} \r{helplessly} \y{as} \r{he} \y{looked.}


  \paragraph{Italics/Slanted Roman.}\leavevmode

  \i{Grumpy} \y{wizards} \i{make} \y{toxic} \i{brew} \y{for} \i{the} \y{evil} \i{Queen} \y{and} \i{Jack.}
  \i{One} \y{morn\-ing,} \i{when} \y{Gregor} \i{Samsa} \y{woke} \i{from} \y{trou\-bled} \i{dreams,}
  \i{he} \y{found} \i{himself} \y{trans\-formed} \i{in} \y{his} \i{bed} \y{into} \i{a} \y{hor\-ri\-ble} \i{vermin.}
  \i{He} \y{lay} \i{on} \y{his} \i{armour-like} \y{back,}
  \i{and} \y{if} \i{he} \y{lifted} \y{his} \i{head}
  \i{a} \y{little} \i{he} \y{could} \i{see} \y{his} \i{brown} \y{belly,}
  \i{slightly} \y{domed} \i{and} \y{divided} \i{by} \y{arches} \i{into} \y{stiff} \i{sections.}
  \i{The} \y{bedding} \i{was} \y{hardly} \i{able} \y{to}
  \i{cover} \y{it} \i{and} \y{seemed} \i{ready} \y{to} \i{slide} \y{off} \i{any} \y{mo\-ment.}
  \i{His} \y{many} \i{legs,}
  \i{pitifully} \y{thin} \i{compared} \y{with} \i{the} \y{size} \i{of} \y{the} \i{rest} \y{of} \i{him,}
  \i{waved} \y{about} \i{helplessly} \y{as} \i{he} \y{looked.}


  \paragraph{Roman/Italics/Slanted Roman.}\leavevmode

  \r{Grumpy} \i{wizards} \y{make} \r{toxic} \i{brew} \y{for} \r{the} \i{evil} \y{Queen} \r{and} \i{Jack.}
  \r{One} \i{morning,} \y{when} \r{Gregor} \i{Samsa} \y{woke} \r{from} \i{troubled} \y{dreams,}
  \r{he} \i{found} \y{him\-self} \r{transformed} \i{in} \y{his} \r{bed} \i{into} \r{a} \i{horrible} \y{ver\-min.}
  \r{He} \i{lay} \y{on} \r{his} \i{armour-like} \y{back,}
  \r{and} \i{if} \y{he} \r{lifted} \i{his} \y{head}
  \r{a} \i{little} \y{he} \r{could} \i{see} \y{his} \r{brown} \i{belly,}
  \r{slightly} \i{domed} \y{and} \r{divided} \i{by} \y{arches} \r{into} \i{stiff} \y{sec\-tions.}
  \r{The} \i{bedding} \y{was} \r{hardly} \i{able} \y{to}
  \r{cover} \i{it} \y{and} \r{seemed} \i{ready} \y{to} \r{slide} \i{off} \y{any} \r{moment.}
  \r{His} \i{many} \y{legs,}
  \r{pitifully} \i{thin} \y{compared} \r{with} \i{the} \y{size} \r{of} \i{the} \y{rest} \r{of} \i{him,}
  \r{waved} \i{about} \y{helplessly} \r{as} \r{he} \y{looked.}


  \paragraph{Roman/Upright Italics.}\leavevmode

  \r{Grumpy} \u{wizards} \r{make} \u{toxic} \r{brew} \u{for} \r{the} \u{evil} \r{Queen} \u{and} \r{Jack.}
  \r{One} \u{morn\-ing,} \r{when} \u{Gregor} \r{Samsa} \u{woke} \r{from} \u{trou\-bled} \r{dreams,}
  \r{he} \u{found} \r{himself} \u{trans\-formed} \r{in} \u{his} \r{bed} \u{into} \r{a} \u{hor\-ri\-ble} \r{vermin.}
  \r{He} \u{lay} \r{on} \u{his} \r{armour-like} \u{back,}
  \r{and} \u{if} \r{he} \u{lifted} \u{his} \r{head}
  \r{a} \u{little} \r{he} \u{could} \r{see} \u{his} \r{brown} \u{belly,}
  \r{slightly} \u{domed} \r{and} \u{divided} \r{by} \u{arches} \r{into} \u{stiff} \r{sections.}
  \r{The} \u{bedding} \r{was} \u{hardly} \r{able} \u{to}
  \r{cover} \u{it} \r{and} \u{seemed} \r{ready} \u{to} \r{slide} \u{off} \r{any} \u{mo\-ment.}
  \r{His} \u{many} \r{legs,}
  \r{pitifully} \u{thin} \r{compared} \u{with} \r{the} \u{size} \r{of} \u{the} \r{rest} \u{of} \r{him,}
  \r{waved} \u{about} \r{helplessly} \u{as} \r{he} \u{looked.}
\end{multicols}


\clearpage
\subsection{Bounding Box}

Thin lines indicate the baseline.  All bounding boxes should be very tight.  A little piercing
into the box in the direction of the slant operation is acceptable.

\begin{center}
  \begin{tabular}{@{}l@{\showbaseline}l@{\showbaseline}l@{\showbaseline}}
    \cs{textrm}  &
    \showboundingbox{\textrm{\fontsample}}  &
    \showboundingbox{\textrm{\FONTSAMPLE}}  \\
    \cs{textit}  &
    \showboundingbox{\textit{\fontsample}}  &
    \showboundingbox{\textit{\FONTSAMPLE}}  \\
    \cs{synthslantbox}\code{\{\synthslant\}}  &
    \showboundingbox{\synthslantbox{\synthslant}{\fontsample}}  &
    \showboundingbox{\synthslantbox{\synthslant}{\FONTSAMPLE}}  \\
    \cs{synthslantbox}\code{\{\synthnegslant\}}  &
    \showboundingbox{\synthslantbox{\synthnegslant}{\itshape\fontsample}}  &
    \showboundingbox{\synthslantbox{\synthnegslant}{\itshape\FONTSAMPLE}}  \\
    \cs{textsynthslant}  &
    \showboundingbox{\textsynthslant{\fontsample}}  &
    \showboundingbox{\textsynthslant{\FONTSAMPLE}}  \\
    \cs{textsynthuprightitalic}  &
    \showboundingbox{\textsynthuprightitalic{\fontsample}}  &
    \showboundingbox{\textsynthuprightitalic{\FONTSAMPLE}}
  \end{tabular}
\end{center}


\subsection{Width Change with \cs{synthslantbox}?}

Widths of the alphabet in uppercase and lowercase letter plus the digits.  The ``hyp''~version
contains discretionary hyphens (\cs{-}) between each of the letters or digits.  The absolute
value of all deltas should be much less than 3pt.

\begin{center}
  \newlength{\abcplain}\settowidth{\abcplain}{\doublealphabet}
  \newlength{\abchyp}\settowidth{\abchyp}{\doublealphabethyp}
  \begin{tabular}[t]{@{}lrll@{}}
    \toprule
    \cs{upshape}  &  Slant  &  Width  &  Delta  \\
    {}  &  &  pt  &  pt  \\
    \midrule
    ABC  &  ---  &  \thewidthof{\doublealphabet}  &  ---  \\
    ABC hyp  &  ---  &  \thewidthof{\doublealphabethyp}  &  ---  \\
    %
    ABC  &  0  &
    \thewidthof{\synthslantbox{0}{\doublealphabet}}  &
    \thewidthdiffof{\abcplain}{\synthslantbox{0}{\doublealphabet}}  \\
    ABC hyp  &  0
    &  \thewidthof{\synthslantbox{0}{\doublealphabethyp}}  &
    \thewidthdiffof{\abchyp}{\synthslantbox{0}{\doublealphabethyp}}  \\
    %
    ABC  &  .1  &
    \thewidthof{\synthslantbox{.1}{\doublealphabet}}  &
    \thewidthdiffof{\abcplain}{\synthslantbox{.1}{\doublealphabet}}  \\
    ABC hyp  &  .1  &
    \thewidthof{\synthslantbox{.1}{\doublealphabethyp}}  &
    \thewidthdiffof{\abchyp}{\synthslantbox{.1}{\doublealphabethyp}}  \\
    %
    ABC  &  .2  &
    \thewidthof{\synthslantbox{.2}{\doublealphabet}}  &
    \thewidthdiffof{\abcplain}{\synthslantbox{.2}{\doublealphabet}}  \\
    ABC hyp  &  .2  &
    \thewidthof{\synthslantbox{.2}{\doublealphabethyp}}  &
    \thewidthdiffof{\abchyp}{\synthslantbox{.2}{\doublealphabethyp}}  \\
    %
    ABC  &  .3  &
    \thewidthof{\synthslantbox{.3}{\doublealphabet}}  &
    \thewidthdiffof{\abcplain}{\synthslantbox{.3}{\doublealphabet}}  \\
    ABC hyp  &  .3  &
    \thewidthof{\synthslantbox{.3}{\doublealphabethyp}}  &
    \thewidthdiffof{\abchyp}{\synthslantbox{.3}{\doublealphabethyp}}  \\
    \bottomrule
  \end{tabular}
  \qquad
  \newlength{\abcplainitalics}\settowidth{\abcplainitalics}{\itshape\doublealphabet}
  \newlength{\abchypitalics}\settowidth{\abchypitalics}{\itshape\doublealphabethyp}
  \begin{tabular}[t]{@{}lrll@{}}
    \toprule
    \cs{itshape}  &  Slant  &  Width  &  Delta  \\
    {}  &  &  pt  &  pt  \\
    \midrule
    ABC  &  ---  &  \thewidthof{\itshape\doublealphabet}  &  ---  \\
    ABC hyp  &  ---  &  \thewidthof{\itshape\doublealphabethyp}  &  ---  \\
    %
    ABC  &  0  &
    \thewidthof{\synthslantbox{0}{\itshape\doublealphabet}}  &
    \thewidthdiffof{\abcplainitalics}{\synthslantbox{0}{\itshape\doublealphabet}}  \\
    ABC hyp  &  0  &
    \thewidthof{\synthslantbox{0}{\itshape\doublealphabethyp}}  &
    \thewidthdiffof{\abchypitalics}{\synthslantbox{0}{\itshape\doublealphabethyp}}  \\
    %
    ABC  &  -.1  &
    \thewidthof{\synthslantbox{-.1}{\itshape\doublealphabet}}  &
    \thewidthdiffof{\abcplainitalics}{\synthslantbox{-.1}{\itshape\doublealphabet}}  \\
    ABC hyp  &  -.1  &
    \thewidthof{\synthslantbox{-.1}{\itshape\doublealphabethyp}}  &
    \thewidthdiffof{\abchypitalics}{\synthslantbox{-.1}{\itshape\doublealphabethyp}}  \\
    %
    ABC  &  -.2  &
    \thewidthof{\synthslantbox{-.2}{\itshape\doublealphabet}}  &
    \thewidthdiffof{\abcplainitalics}{\synthslantbox{-.2}{\itshape\doublealphabet}}  \\
    ABC hyp  &  -.2  &
    \thewidthof{\synthslantbox{-.2}{\itshape\doublealphabethyp}}  &
    \thewidthdiffof{\abchypitalics}{\synthslantbox{-.2}{\itshape\doublealphabethyp}}  \\
    %
    ABC  &  -.3  &
    \thewidthof{\synthslantbox{-.3}{\itshape\doublealphabet}}  &
    \thewidthdiffof{\abcplainitalics}{\synthslantbox{-.3}{\itshape\doublealphabet}}  \\
    ABC hyp  &  -.3  &
    \thewidthof{\synthslantbox{-.3}{\itshape\doublealphabethyp}}  &
    \thewidthdiffof{\abchypitalics}{\synthslantbox{-.3}{\itshape\doublealphabethyp}}  \\
    \bottomrule
  \end{tabular}
\end{center}


\subsection{Line-Breaking}

Left: plain text,  \\
right: \code{\cs{textsynthslant}\{Show line-break\cs{-}ing in a sen\cs{-}tence.\}}

\begin{center}
  \setlength{\overfullrule}{0pt}
  \begin{minipage}[t]{0pt}Show line-breaking with a sentence.\end{minipage}%
  \hspace*{100pt}%
  \begin{minipage}[t]{0pt}\textsynthslant{Show line-break\-ing in a sen\-tence.}\end{minipage}
\end{center}


\subsection{Microtype Enhancements}

\ifdefined\SetTracking
  Package \packagename{microtype} loaded.

  Test different trackings in the \code{synthnegslant}~context.

  \begin{center}
    \setlength{\overfullrule}{0pt}
    \newcommand*{\thinvrule}{\rule{.4pt}{.7em}}
    \newcommand{\settracking}[2]
               {\SetTracking[context=synthnegslant,
                             no ligatures={f},
                             outer kerning={0,0},
                             spacing={#2*,,}]
                            {encoding=*, shape=it}
                            {#1}}
    \newcommand*{\smallextratracking}{20}
    \newcommand*{\smallextraspacing}{150}
    \newcommand*{\bigextratracking}{250}
    \newcommand*{\bigextraspacing}{300}
    \begin{tabular}{@{}rrll@{}}
      \toprule
      Tracking  &
      Spacing  &
      \raisebox{-.5\normalbaselineskip}[0pt][0pt]{Sample}  &
      \raisebox{-.5\normalbaselineskip}[0pt][0pt]{Example sentence}  \\
      {\small\generictextfraction{1}{1000}}\:em  &  {\small\generictextfraction{dim}{1000}}  &  &  \\
      \midrule
      0  &  0  &
      \settracking{0}{0}\thinvrule\textsynthuprightitalic{\fontsample}\thinvrule  &
      \settracking{0}{0}\thinvrule\textsynthuprightitalic{\longfontsample}\thinvrule  \\
      \smallextratracking  &  \smallextraspacing  &
      \settracking{\smallextratracking}{\smallextraspacing}%
      \thinvrule\textsynthuprightitalic{\fontsample}\thinvrule  &
      \settracking{\smallextratracking}{\smallextraspacing}%
      \thinvrule\textsynthuprightitalic{\longfontsample}\thinvrule  \\
      \bigextratracking  &  \bigextraspacing  &
      \settracking{\bigextratracking}{\bigextraspacing}%
      \thinvrule\textsynthuprightitalic{\fontsample}\thinvrule  &
      \settracking{\bigextratracking}{\bigextraspacing}%
      \thinvrule\textsynthuprightitalic{\longfontsample}\thinvrule  \\
      \bottomrule
    \end{tabular}
    \settracking{0}{0}% reset extra tracking
  \end{center}

  \noindent All samples are tightly bracketed by thin horizontal rules
  to reveal possible outer spacing problems.
\else
  Package \packagename{microtype} not loaded.
  No Microtype effects to show.
\fi
\end{document}
%</gauge>
%  \fi
%
%
%
\endinput
%
%
%
%%%  Local Variables:
%%%  compile-command: "latex synthslant.dtx"
%%%  fill-column: 96
%%%  End: