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\documentclass[a4paper,12pt]{scrartcl}

\usepackage{mathtools, array, varioref}
\usepackage[british]{babel}
\usepackage{fourier-orns}
\usepackage{euler-math}
\setmainfont{cmunorm.otf}
    [BoldFont =       cmunobx.otf ,
     ItalicFont =     cmunoti.otf ,
     BoldItalicFont = cmunobi.otf
    ]
\setsansfont{Cabin}[Scale=MatchLowercase]
\setmonofont{Inconsolatazi4}[Scale=MatchLowercase,StylisticSet={2,3}]
\usepackage{subfig}
\captionsetup[subtable]{position=top}
\usepackage{realscripts}
\usepackage{microtype}
\usepackage{hyperref}
\hypersetup{pdftitle={Euler-Math Userâ€™s Guide},
            pdfauthor={Daniel FLIPO},
            bookmarksopen,
            colorlinks
            }
\newcommand*{\hlabel}[1]{\phantomsection\label{#1}}

\newcommand*{\NEOTF}{Euler~Math}
\newcommand*{\pkg}[1]{\texttt{#1}}
\newcommand*{\file}[1]{\texttt{#1}}
\newcommand*{\opt}[1]{\texttt{#1}}
\newcommand*{\cmd}[1]{\texttt{\textbackslash #1}}\newcommand*{\showtchar}[1]{\cmd{#1}~\csname #1\endcsname}
\newcommand*{\showmchar}[1]{\cmd{#1}~$(\csname #1\endcsname)$}
\newcommand*{\showmchardollar}[1]{\texttt{\$\cmd{#1}\$}~$(\csname #1\endcsname)$}

\renewcommand{\labelitemi}{\lefthand}

\title{Euler Math font, OTF version}
\author{Daniel Flipo \\ \texttt{daniel.flipo@free.fr}}

\newcommand*{\version}{0.63}

\begin{document}
\maketitle

\section{What is \NEOTF{}?}

\NEOTF{} is a fork of the Euler project initiated by Khaled Hosny in 2009
and abandoned in 2016%
\footnote{See \url{https://github.com/aliftype/euler-otf}}.
The original font name `Neo~Eulerâ€™, has been changed to `Euler~Mathâ€™, the file
name is now \file{Euler-Math.otf}.

\file{Euler-Math.otf} is an OpenType version of Hermann Zapfâ€™s Euler maths
font, as the original font it contains three alphabets $Euler Roman$,
$\symscr{SCRIPT}$ and $\symfrak{Euler Fraktur}$ (none of them being suitable
for typesetting text) and has some specificities:
\begin{itemize}
\item it is an \emph{upright} maths font, Latin and Greek letters are
  \emph{not available} in italic or bold italic shape (only upright and bold) ;
\item integral symbols are upright too;
\item all inequalities symbols are \emph{slanted}, so \cmd{leq} and geq are
  printed as $\leq$ and $\geq$ (same as \cmd{leqslant} and \cmd{geqslant}).
\end{itemize}

\NEOTF{} requires LuaTeX or XeTeX as engine and the \pkg{unicode-math} package%
\footnote{Please read the documentation \file{unicode-math.pdf}.}.

Coverage: currently, all Plain, LaTeX and AMS maths symbols are provided;
sans-serif (Latin, Greek, digits) and typewriter (Latin, digits) defaults
are included.

Please note that the current version (\version) is \emph{experimental,
do expect metrics and glyphs to change} until version 1.0 is reached.
Comments, suggestions and bug reports are welcome!

\pagebreak[4]
\section{Usage}

\subsection{Calling \cmd{setmathfont}}

A basic call for \NEOTF{} would be:
\begin{verbatim}
\usepackage[math-style=upright]{unicode-math}
\setmathfont{Euler-Math.otf} % Call by file name or
\setmathfont{Euler Math}     % Call by font name or
\end{verbatim}
this loads \NEOTF{} as maths font%
\footnote{Both calls work equally well with LuaTeX; with XeTeX a call by font
  name will fail unless the font is declared as a \emph{system font}.}
 with the default options, see subsections~\ref{ssection-cv},
 \ref{ssection-ss} and~\ref{ssec-other-features} for customisation.

Please note that the three sets of text fonts have to be chosen separately.

\subsection{Calling \pkg{euler-math.sty} (recommended)}

As an alternative to load \NEOTF{} you can type:\\[.5\baselineskip]
\verb+\usepackage{euler-math}+\\[.5\baselineskip]
\verb+\usepackage[ +\textit{options}
\footnote{Possible \textit{options} are \opt{Scale=} or any of the options
  described in sections \ref{ssection-cv}, \ref{ssection-ss} and
  \ref{ssec-other-features}.}%
\verb+ ]{euler-math}+\\[.5\baselineskip]
it loads \pkg{unicode-math} with the \opt{math-style=upright} option and
sets \NEOTF{} as maths font and does a bit more:
\begin{enumerate}
\item it checks at \verb+\begin{document}+ if packages \pkg{amssymb} or
  \pkg{latexsym} are loaded and issues warnings in case they are;
\item it provides aliases for glyphs named differently in Unicode, so that
  \pkg{latexsym} or AMS names are also available;
\item it defines some specific maths characters \showmchar{varemptyset}, etc.
\end{enumerate}

The \pkg{euler-math.sty} package is meant to replace the \pkg{eulervm.sty}
package for users switching from pdfLaTeX to LuaLaTeX or XeLaTeX.
It does not interfere with text fonts which have to be chosen separately.

\section{What is provided?}

\NEOTF{} provides all glyphs available in the \pkg{amssymb} and \pkg{latexsym}
packages and many more, f.i. lots of extensible accents and arrows.
Therefore, the latter two packages \emph{should not} be loaded as they might
override \NEOTF{} glyphs.

As mentioned above, there is neither italic nor bold italic shapes; for userâ€™s
convenience, these slots are filled with their upright analogs.
Sans-serif (Latin, Greek, digits) and typewriter (Latin, digits) alphabets,
Fraktur and Blackboard Bold styles are included.

A full list of available glyphs is shown in file \file{unimath-euler.pdf}.

\subsection{Character variants}
\label{ssection-cv}

\NEOTF{} provides fourteen ``Character Variants'' options, listed on
table~\vref{cv}, to choose between different glyphs for Greek characters
and some others.
\begin{table}[ht]
  \centering  \caption{Character variants.}
  \hlabel{cv}
  \begin{tabular}{@{}&gt;{\ttfamily}lccl@{}}
    \hline
           &amp; Default       &amp; Variant          &amp; Name\\
    \hline
      cv01 &amp; $\hslash$     &amp; $\hbar$          &amp; \cmd{hslash} \\
      cv02 &amp; $\emptyset$   &amp; $\varemptyset$   &amp; \cmd{emptyset} \\
      cv03 &amp; $\epsilon$    &amp; $\varepsilon$    &amp; \cmd{epsilon} \\
      cv04 &amp; $\kappa$      &amp; $\varkappa$      &amp; \cmd{kappa} \\
      cv05 &amp; $\pi$         &amp; $\varpi$         &amp; \cmd{pi} \\
      cv06 &amp; $\phi$        &amp; $\varphi$        &amp; \cmd{phi} \\
      cv09 &amp; $\theta$      &amp; $\vartheta$      &amp; \cmd{theta} \\
      cv10 &amp; $\Theta$      &amp; $\varTheta$      &amp; \cmd{Theta}\\
    \hline
  \end{tabular}
\end{table}

For instance, to get \cmd{epsilon} and \cmd{phi} typeset as $\varepsilon$
and $\varphi$ instead of $\epsilon$ and $\phi$ (with matching bold variants
$\symbf{\varepsilon}$ and $\symbf{\varphi}$), you can
add option \verb+CharacterVariant={3,6}+ to the \cmd{setmathfont} call:
\begin{verbatim}
\setmathfont{Euler-Math.otf}[CharacterVariant={3,6}]
\end{verbatim}

Please note that curly braces are mandatory whenever more than one
``Character Variant'' is selected.

Note about \cmd{hbar}: \pkg{unicode-math} defines \cmd{hbar} as
\cmd{hslash} (U+210F) while \pkg{amsmath} provides two different glyphs
($h$ with horizontal or diagonal stroke).\\
\pkg{euler-math} follows \pkg{unicode-math}; the $h$ with horizontal stroke
can be printed using \cmd{hslash} or \cmd{hbar} together with character
variant \opt{cv01} or with \cmd{muphbar} (replacement for AMSâ€™ command
\cmd{hbar}).

\subsection{Stylistic sets}
\label{ssection-ss}

\NEOTF{} provides two ``Stylistic Sets'' options to choose between different
glyphs for families of maths symbols.

\verb+StylisticSet=5+, alias \verb+Style=smaller+, converts some symbols into
their smaller variants, see table~\vref{ss05}.

\verb+StylisticSet=6+, alias \verb+Style=subsetneq+, converts some inclusion
symbols, see table~\vref{ss06}.
\begin{table}[ht]
  \centering
  \caption{Stylistic Sets 5 and 6}
  \subfloat[\opt{Style=smaller\quad (+ss05)}]{\hlabel{ss05}%
  \begin{tabular}[t]{@{}lcc@{}}
    \hline
      Command           &amp; Default         &amp; Variant \\
    \hline
      \cmd{in}               &amp; $\in$               &amp; $\smallin$ \\
      \cmd{ni}               &amp; $\ni$               &amp; $\smallni$ \\
      \cmd{mid}              &amp; $\mid$              &amp; $\shortmid$ \\
      \cmd{nmid}             &amp; $\nmid$             &amp; $\nshortmid$ \\
      \cmd{parallel}         &amp; $\parallel$         &amp; $\shortparallel$ \\
      \cmd{nparallel}        &amp; $\nparallel$        &amp; $\nshortparallel$ \\
    \hline
  \end{tabular}
  }\hspace{10mm} % eof subfloat
  \subfloat[\opt{Style=subsetneq\quad (+ss06)}]{\hlabel{ss06}%
  \begin{tabular}[t]{@{}lcc@{}}
    \hline
      Command                &amp; Default             &amp; Variant \\
    \hline
      \cmd{subsetneq}   &amp; $\subsetneq$    &amp; $\varsubsetneq$ \\
      \cmd{supsetneq}   &amp; $\supsetneq$    &amp; $\varsupsetneq$ \\
      \cmd{subsetneqq}  &amp; $\subsetneqq$   &amp; $\varsubsetneqq$ \\
      \cmd{supsetneqq}  &amp; $\supsetneqq$   &amp; $\varsupsetneqq$ \\
    \hline
  \end{tabular}
  }% eof subfloat
\end{table}


To enable Stylistic Sets 5 and 6 for \NEOTF{}, you should enter
\begin{verbatim}
\setmathfont{Euler-Math.otf}[StylisticSet={5,6}]  or
\usepackage[Style={smaller,subsetneq}]{Euler-Math.otf}
\end{verbatim}
{\samepage then, \verb+\[A \subsetneq B\quad x \in E \quad D \parallel D' \]+
will print as
\setmathfont{Euler-Math.otf}[StylisticSet={5,6}]
\[A \subsetneq B\quad x \in E \quad D \parallel D' \]
instead of
\setmathfont{Euler-Math.otf}
\[A \subsetneq B\quad x \in E \quad D \parallel D' \]
}

\subsection{Other font features}
\label{ssec-other-features}

To get oldstyle numbers in maths, the feature \opt{+onum} is available:
\begin{verbatim}
\setmathfont{Euler-Math.otf}[Numbers=OldStyle]  or
\usepackage[Style={fulloldstyle}]{euler-math}
\end{verbatim}

\setmathfont{Euler-Math.otf}[Numbers=OldStyle]
$0123456789, \symbf{0123456789}$
\setmathfont{Euler-Math.otf}

\subsection{Standard LaTeX math commands}
\label{ssec-math-commands}

All standard LaTeX maths commands, all \pkg{amssymb} commands and all
\pkg{latexsym} commands are supported by \NEOTF{}, for some of them loading
\pkg{euler-math.sty} is required.

Various wide accents are also supported:
\begin{itemize}
\item \cmd{wideoverbar} and \cmd{mathunderbar}%
  \footnote{\cmd{overline} and \cmd{underline} are not font related,
     they are based on \cmd{rule}.}
  \[\wideoverbar{x}\quad \wideoverbar{xy}\quad \wideoverbar{xyz}\quad
    \wideoverbar{A\cup B}\quad \wideoverbar{A\cup (B\cap C)\cup D}\quad
    \mathunderbar{m+n+p}\]

\item \cmd{widehat} and \cmd{widetilde}
\[\widehat{x}\; \widehat{xx} \;\widehat{xxx} \;\widehat{xxxx}\;
  \widehat{xxxxx} \;\widehat{xxxxxx} \;\widetilde{x}\; \widetilde{xx}\;
  \widetilde{xxx} \;\widetilde{xxxx} \;\widetilde{xxxxx}\;
  \widetilde{xxxxxx}\]

\item \cmd{widecheck}  and \cmd{widebreve}
  \[\widecheck{x}\quad \widecheck{xxxx}\quad \widecheck{xxxxxx}\quad
    \widebreve{x}\quad \widebreve{xxxx}\quad \widebreve{xxxxxx}\]

\item \cmd{overparen} and \cmd{underparen}
  \[\overparen{x}\quad \overparen{xy}\quad \overparen{xyz}\quad
    \mathring{\overparen{A\cup B}}\quad
    \overparen{A\cup (B\cap C)\cup D}^{\smwhtcircle}\quad
    \overparen{x+y}^{2}\quad \overparen{a+b+...+z}^{26}\]
\vspace{-\baselineskip}
\[\underparen{x}\quad \underparen{xz} \quad \underparen{xyz}
  \quad \underparen{x+z}_{2}\quad \underparen{a+b+...+z}_{26}\]

\item \cmd{overbrace} and \cmd{underbrace}
  \[\overbrace{a}\quad \overbrace{ab}\quad \overbrace{abc}\quad
  \overbrace{abcd}\quad \overbrace{abcde}\quad
  \overbrace{a+b+c}^{3}\quad \overbrace{ a+b+. . . +z }^{26}\]
  \vspace{-\baselineskip}
  \[\underbrace{a}\quad\underbrace{ab}\quad\underbrace{abc}\quad
  \underbrace{abcd}\quad \underbrace{abcde}\quad
  \underbrace{a+b+c}_{3}  \quad \underbrace{ a+b+...+z }_{26}\]

\item \cmd{overbracket} and \cmd{underbracket}
  \[\overbracket{a}\quad \overbracket{ab}\quad \overbracket{abc}\quad
  \overbracket{abcd}\quad \overbracket{abcde}\quad
  \overbracket{a+b+c}^{3}\quad \overbracket{ a+b+. . . +z }^{26}\]
  \vspace{-\baselineskip}
  \[\underbracket{a}\quad\underbracket{ab}\quad\underbracket{abc}\quad
  \underbracket{abcd}\quad \underbracket{abcde}\quad
  \underbracket{a+b+c}_{3}  \quad \underbracket{ a+b+...+z }_{26}\]

\item \cmd{overrightarrow}, \cmd{overleftarrow} and \cmd{overleftrightarrow}
  \[\overrightarrow{v}\quad \overrightarrow{M}\quad \overrightarrow{vv}
  \quad \overrightarrow{AB}\quad \overrightarrow{ABC}
  \quad \overrightarrow{ABCD} \quad \overrightarrow{ABCDEFGH}.
  \]
  \vspace{-\baselineskip}
  \[\overleftarrow{v}\quad \overleftarrow{M}\quad \overleftarrow{vv}
  \quad \overleftarrow{AB}\quad \overleftarrow{ABC}
  \quad \overleftarrow{ABCD} \quad \overleftarrow{ABCDEFGH}\]
  \vspace{-\baselineskip}
  \[\overleftrightarrow{v}\quad \overleftrightarrow{M}\quad
    \overleftrightarrow{vv}\quad
    \overleftrightarrow{AB}\quad \overleftrightarrow{ABC}\quad
    \overleftrightarrow{ABCD} \quad \overleftrightarrow{ABCDEFGH}\]

\item \cmd{overrightharpoon} and \cmd{overleftharpoon}
  \[\overrightharpoon{v}\quad \overrightharpoon{M}\quad \overrightharpoon{vv}
  \quad \overrightharpoon{AB}\quad \overrightharpoon{ABC}
  \quad \overrightharpoon{ABCD} \quad \overrightharpoon{ABCDEFGH}.
  \]
  \vspace{-\baselineskip}
  \[\overleftharpoon{v}\quad \overleftharpoon{M}\quad \overleftharpoon{vv}
  \quad \overleftharpoon{AB}\quad \overleftharpoon{ABC}
  \quad \overleftharpoon{ABCD} \quad \overleftharpoon{ABCDEFGH}\]

\item \cmd{underrightarrow}, \cmd{underleftarrow} and \cmd{underleftrightarrow}
  \[\underrightarrow{v}\quad \underrightarrow{M}\quad \underrightarrow{vv}
  \quad \underrightarrow{AB}\quad \underrightarrow{ABC}
  \quad \underrightarrow{ABCD} \quad \underrightarrow{ABCDEFGH}.
  \]
  \vspace{-\baselineskip}
  \[\underleftarrow{v}\quad \underleftarrow{M}\quad \underleftarrow{vv}
  \quad \underleftarrow{AB}\quad \underleftarrow{ABC}
  \quad \underleftarrow{ABCD} \quad \underleftarrow{ABCDEFGH}\]
  \vspace{-\baselineskip}
  \[\underleftrightarrow{v}\quad \underleftrightarrow{M}\quad
    \underleftrightarrow{vv}\quad
    \underleftrightarrow{AB}\quad \underleftrightarrow{ABC}\quad
    \underleftrightarrow{ABCD} \quad \underleftrightarrow{ABCDEFGH}\]

\item \cmd{underrightharpoondown} and \cmd{underleftharpoondown}
  \[\underrightharpoondown{v} \quad \underrightharpoondown{M}\quad
    \underrightharpoondown{vv}\quad \underrightharpoondown{AB}\quad
    \underrightharpoondown{ABC}\quad \underrightharpoondown{ABCD}
    \quad \underrightharpoondown{ABCDEFGH}.
  \]
  \vspace{-\baselineskip}
  \[\underleftharpoondown{v} \quad \underleftharpoondown{M}\quad
    \underleftharpoondown{vv}\quad \underleftharpoondown{AB}\quad
    \underleftharpoondown{ABC}\quad \underleftharpoondown{ABCD}
    \quad \underleftharpoondown{ABCDEFGH}.
  \]

\item Finally \cmd{widearc} and \cmd{overrightarc} (loading
  \pkg{euler-math.sty} is required)
\[\widearc{AMB}\quad \overrightarc{AMB}\]
\end{itemize}

All the extensible arrows provided by the \pkg{mathtools} package are
available in the \NEOTF{} font (loading \pkg{euler-math.sty} is required),
f.i.:
\[X \xLeftrightarrow{\text{above}} Y \xhookrightarrow[\text{under}]{}
  Z\xmapsto{\text{above}} W\]


\subsection{Mathematical alphabets}
\label{ssec-math-alphabets}

\begin{itemize}
\item  All Latin and Greek characters are available in upright
  and bold via the \verb+\symup{}+ and \verb+\symbf{}+ commands.

\item Calligraphic alphabet (\cmd{symscr} or \cmd{symcal} command),
  uppercase only:\\
  $\symscr{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$\\
  also in boldface (\cmd{symbfscr},\cmd{symbfcal} or \cmd{mathbfcal} command):\\
  $\symbfscr{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$

\item Blackboard-bold alphabet (\cmd{symbb} command),
  uppercase, lowercase and digits:

  $\symbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$

  $\symbb{abcdefghijklmnopqrstuvwxyz\quad 0123456789}$

\item Fraktur alphabet medium and bold
  (\cmd{symfrak}, or \cmd{symbffrak} commands):

  $\symfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ\quad abcdefghijklmnopqrstuvwxyz}$\\
  $\symbffrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$\\
  \hphantom{$\symfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ\quad}$}%
    $\symbffrak{abcdefghijklmnopqrstuvwxyz}$

\item Sans-serif (Latin and Greek) and Typewriter (Latin) alphabets
  (commands \verb+\symsf{}+, \verb+\symbfsf{}+, \verb+\symtt{}+):

  $\symsf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\\
   \symsfit{abcdefghijklmnopqrstuvwxyz\quad 0123456789}$

  $\symbfsf{Î‘Î’Î“Î”Î•Î–Î—Î˜Î™ÎšÎ›ÎœÎÎžÎŸÎ&nbsp;Î¡Î£Î¤Î¥Î¦Î§Î¨Î©}\\
   \symbfsf{Î±Î²Î³Î´ÎµÎ¶Î·Î¸Î¹ÎºÎ»Î¼Î½Î¾Î¿Ï€ÏÏƒÏ‚Ï„Ï…Ï†Ï‡ÏˆÏ‰}$

  $\symtt{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\\
   \symtt{abcdefghijklmnopqrstuvwxyz\quad 0123456789}$

\end{itemize}


\subsection{Missing symbols}

\NEOTF{} does not aim at being as complete as \file{STIXTwoMath-Regular} or
\file{Cambria}, the current glyph coverage compares with TeXGyre math fonts.
In case some symbols do not show up in the output file, you will see warnings
in the \file{.log} file, for instance:

\setmathfont{STIXTwoMath-Regular.otf}[range={"2964}]
\texttt{Missing character: There is no }$â¥¤$%
\texttt{ (U+2964) in font Euler Math}

Borrowing them from a more complete font, say \file{Asana-Math},
is a possible workaround:
\verb+\setmathfont{Asana-Math.otf}[range={"2964},Scale=1.02]+\\
scaling is possible, multiple character ranges are separated with commas:\\
\verb+\setmathfont{Asana-Math.otf}[range={"294A-"2951,"2964,"2ABB-"2ABE}]+

Letâ€™s mention \pkg{albatross}, a useful tool to find out the list of fonts
providing a given glyph: f.i. type in a terminal
``\texttt{albatross -t U+2964}'',
see the manpage or \file{albatross-manual.pdf}.

\section{Acknowledgements}

Khaled Hosni achieved most of the portage of Hermann Zapfâ€™s Euler font to
Unicode between 2009 and 2016.  After Hermannâ€™s death in 2015, he decided to
stop the project but his \file{euler.otf} font, although not available on CTAN,
continued to be used, see
\href{https://tex.stackexchange.com/questions/425098/which-opentype-math-fonts-are-available}{https://tex.stackexchange.com/questions/425098/}.
I offered Khaled my help to finalise the font, we agreed I would try to
complete the font and maintain it on my own.

\bigskip
\begin{center}\Huge
\decotwo
\end{center}

\end{document}

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