\DocumentMetadata{pdfstandard=A-2b, lang=en-GB}
\documentclass[a4paper,12pt]{scrartcl}
\usepackage{mathtools, array, varioref}
\usepackage[british]{babel}
\usepackage{concmath-otf}
\usepackage{subfig}
\captionsetup[subtable]{position=top}
\usepackage{realscripts}
\usepackage{microtype}
\usepackage{hyperref}
\hypersetup{pdftitle={Concrete Math OpenType User’s Guide},
pdfauthor={Daniel FLIPO},
bookmarksopen,
colorlinks
}
\newcommand*{\hlabel}[1]{\phantomsection\label{#1}}
\newcommand*{\CCM}{\pkg{concmath-otf}}
\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}\$}~$(\csname #1\endcsname)$}
\title{Concrete-Math font, OTF version}
\author{Daniel Flipo \\ \texttt{daniel.flipo@free.fr}}
\newcommand*{\version}{0.65}
\begin{document}
\maketitle
\section{What is \CCM{}?}
The \CCM{} package offers an OpenType version of the Concrete Math font
created by Ulrik Vieth in MetaFont. \file{concmath-otf.sty} is a replacement
for the original \file{concmath.sty} package.
It requires LuaTeX or XeTeX as engine and the \pkg{unicode-math} package%
\footnote{Please read the documentation \file{unicode-math.pdf}.}.
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!
\section{Usage}
\subsection{Calling \cmd{setmathfont}}
A basic call for \CCM{} would be:
\begin{verbatim}
\usepackage{unicode-math}
\setmathfont{Concrete-Math.otf} % Call by file name or
\setmathfont{Concrete Math} % Call by file name
\end{verbatim}
this loads \CCM{} 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~\vref{ssection-um},
\vref{ssection-cv} and~\vref{ssection-ss} for customisation.
Please note that the three sets of text fonts have to be chosen separately,
f.i. if you want the Concrete text fonts%
\footnote{They are part of the \pkg{cm-unicode} package.}
as Roman font:%\\[.25\baselineskip]
\pagebreak[4]\noindent
\verb+\setmainfont{cmunorm.otf} +\\
\verb+ [BoldFont = cmunobx.otf ,+\\
\verb+ ItalicFont = cmunoti.otf ,+\\
\verb+ BoldItalicFont = cmunobi.otf ]+\\[.25\baselineskip]
otherwise you would get Latin Modern for text fonts (rm, sf and tt).
\subsection{Calling \pkg{concmat-otf.sty}}
A (recommended) alternative is:\\[.5\baselineskip]
\verb+\usepackage[ +\textit{options}
\footnote{Possible \textit{options} are \opt{loose}, \opt{no-text}, \opt{Scale=}
or any of the options described in sections \ref{ssection-um},
\ref{ssection-cv} and \ref{ssection-ss}.}%
\verb+ ]{concmath-otf}+\\[.5\baselineskip]
it loads \pkg{unicode-math} with the default options, sets Concrete-Math
as maths font and Concrete text fonts as Roman fonts
(families \textit{sf} and \textit{tt} left unchanged) 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 reduces spacing in maths mode: \cmd{thinmuskip}, \cmd{medmuskip}
and \cmd{thickmuskip} are reduced as in \file{fourier.sty}.
% \verb+\thinmuskip=2mu+,\\
% \verb+\medmuskip=2.5mu plus 1mu minus 2.5mu+,\\
% \verb+\thickmuskip=3.5mu plus 2.5mu+.\\
The option \opt{loose} disables these settings.
\end{enumerate}
Apart from the \opt{loose} option mentioned above, \pkg{concmath-otf.sty}
provides an option \opt{no-text} to be used for loading the \CCM{} font
together with roman text fonts other than Concrete.
\section{What is provided?}
\CCM{} provides all glyphs available in the \pkg{concmath}, \pkg{amssymb} and
\pkg{latexsym} packages and more.
Therefore, the latter two packages \emph{should not} be loaded as they might
override \CCM{} glyphs.
A full list of available glyphs is shown in file \file{unimath-concrete.pdf}.
See in section~\vref{ssec-math-alphabets} how to choose
from other maths fonts for these styles.
\subsection{Upright or slanted?}
\label{ssection-um}
Package \pkg{unicode-math} follows \TeX{} conventions for Latin and Greek
letters: in math mode, the default option (\opt{math-style=TeX}) prints
Latin letters $a$…$z$ $A$…$Z$ and lowercase Greek letters $\alpha$…$\omega$
slanted (italic) while uppercase Greek letters $\Alpha \Beta \Gamma$…$\Omega$
are printed upright.
This can be changed by option \opt{math-style} as shown in
table~\vref{math-style}.
\begin{table}[ht]
\centering
\caption{Effects of the \opt{math-style} package option.}
\hlabel{math-style}
\begin{tabular}{@{}>{\ttfamily}lcc@{}}
\hline
\rmfamily Package option & Latin & Greek \\
\hline
math-style=ISO & $(a,z,B,X)$ & $\symit{(\alpha,\beta,\Gamma,\Xi)}$ \\
math-style=TeX & $(a,z,B,X)$ & $(\symit\alpha,\symit\beta,\symup\Gamma,\symup\Xi)$ \\
math-style=french & $(a,z,\symup B,\symup X)$ & $(\symup\alpha,\symup\beta,\symup\Gamma,\symup\Xi)$ \\
math-style=upright & $(\symup a,\symup z,\symup B,\symup X)$ & $(\symup\alpha,\symup\beta,\symup\Gamma,\symup\Xi)$ \\
\hline
\end{tabular}
\end{table}
Bold letters are printed upright except lowercase Greek letters
which are slanted (the default option is \opt{bold-style=TeX}). This can be
changed by option \opt{bold-style} as shown in table~\vref{bold-style}.
\begin{table}[ht]
\centering
\caption{Effects of the \opt{bold-style} package option.}
\hlabel{bold-style}
\begin{tabular}{@{}>{\ttfamily}lcc@{}}
\hline
\rmfamily Package option & Latin & Greek \\
\hline
bold-style=ISO & $(\symbfit a, \symbfit z, \symbfit B, \symbfit X)$ & $(\symbfit\alpha, \symbfit\beta, \symbfit\Gamma, \symbfit\Xi)$ \\
bold-style=TeX & $(\symbfup a,\symbfup z,\symbfup B,\symbfup X)$ & $(\symbfit\alpha, \symbfit\beta,\symbfup \Gamma,\symbfup \Xi)$ \\
bold-style=upright & $(\symbfup a,\symbfup z,\symbfup B,\symbfup X)$ & $(\symbfup \alpha,\symbfup \beta,\symbfup \Gamma,\symbfup \Xi)$ \\
\hline
\end{tabular}
\end{table}
Other possible customisation: $\nabla$ is printed upright and $\partial$ is
printed slanted by default, but \opt{nabla=italic} and
\opt{partial=upright} can change this.
All these options are offered by the \pkg{unicode-math} package, they can
be added to the \cmd{setmathfont} call as well%
\footnote{IMHO it is easier to add \emph{all options} to the \cmd{setmathfont}
command.}, for example:
\verb+\setmathfont{Concrete-Math.otf}[math-style=french,partial=upright]+\\
will print for the code
\begin{verbatim}
\[ \frac{\partial f}{\partial x} = \alpha \symbf{V} + a\nabla\Gamma
+ \symbf{\beta}\symbf{M} \]
\end{verbatim}
\setmathfont{Concrete-Math.otf}[math-style=french,partial=upright]
\[\frac{\partial f}{\partial x} = \alpha \symbf{V} + a\nabla\Gamma +
\symbf{\beta}\symbf{M} \]
while the default settings would print
\setmathfont{Concrete-Math.otf}[math-style=TeX,partial=italic]
\[\frac{\partial f}{\partial x} = \alpha \symbf{V} + a\nabla\Gamma +
\symbf{\beta}\symbf{M} \]
Both shapes remain available anytime: \verb+$\muppi,\mitpi$+
prints $\uppi, \itpi$.
If your text editor is able to handle Greek letters or maths symbols, they can
be entered in the code instead control sequences (i.e.
$\symup{α}$, $\symup{β}$, $\symup{Γ}$,… for \cmd{alpha}, \cmd{beta},
\cmd{Gamma},…).
\subsection{Character variants}
\label{ssection-cv}
\CCM{} provides ten ``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}{@{}>{\ttfamily}lccl@{}}
\hline
& Default & Variant & Name\\
\hline
cv01 & $\hslash$ & $\mithbar$ & \cmd{hslash} \\
cv02 & $\emptyset$ & $\varemptyset$ & \cmd{emptyset} \\
cv03 & $\epsilon$ & $\varepsilon$ & \cmd{epsilon} \\
cv04 & $\kappa$ & $\varkappa$ & \cmd{kappa} \\
cv05 & $\pi$ & $\varpi$ & \cmd{pi} \\
cv06 & $\phi$ & $\varphi$ & \cmd{phi} \\
cv07 & $\rho$ & $\varrho$ & \cmd{rho} \\
cv08 & $\sigma$ & $\varsigma$ & \cmd{sigma} \\
cv09 & $\theta$ & $\vartheta$ & \cmd{theta} \\
cv10 & $\Theta$ & $\varTheta$ & \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 $\phi$, you can add option
\verb+CharacterVariant={3,6}+ to the \cmd{setmathfont} call:
\begin{verbatim}
\setmathfont{Concrete-Math.otf}[CharacterVariant={3,6}]
\end{verbatim}
This works for all shapes and weights of these characters: f.i.\ %
\verb+$\symbf{\epsilon}$+, \verb+$\symbf{\phi}$+ are output as
\setmathfont{Concrete-Math.otf}[CharacterVariant={3,6}]$\symbf{\epsilon}$,
$\symbf{\phi}$ instead of
\setmathfont{Concrete-Math.otf}$\symbf{\epsilon}$, $\symbf{\phi}$.
Similarly with \opt{math-style=french}, \verb+\epsilon+ and \verb+\phi+
are output as $\symup{\varepsilon}$ and $\symup{\varphi}$ (upright).
Please note that curly braces are mandatory whenever more than one
``Character Variant'' is selected.
Note: \pkg{unicode-math} defines \cmd{hbar} as
\cmd{hslash} (U+210F) while \pkg{amsmath} provides two different glyphs
(italic $h$ with horizontal or diagonal stroke).\\
\pkg{concmath-otf} follows \pkg{unicode-math}; the italic $h$ with horizontal
stroke can be printed using \cmd{hslash} or \cmd{hbar} together with character
variant \opt{cv01} or with \cmd{mithbar} (replacement for AMS’ command
\cmd{hbar}).
\subsection{Stylistic sets}
\label{ssection-ss}
\CCM{} provides four ``Stylistic Sets'' options to choose between different
glyphs for families of maths symbols.
\verb+StylisticSet=4+, alias%
\footnote{These \opt{Style} aliases are provided by \file{concmath-otf.sty}.}
\verb+Style=leqslant+, converts (large) inequalities into their slanted
variants as shown by table~\vref{ss04}.
\verb+StylisticSet=5+, alias \verb+Style=smaller+, converts some symbols into
their smaller variants as shown by table~\vref{ss05}.
\begin{table}[ht]
\centering
\caption{Stylistic Sets 4 and 5}
\subfloat[\texttt{Style=leqslant\quad (+ss04)}]{\hlabel{ss04}%
\begin{tabular}[t]{@{}lcc@{}}
\hline
Command & Default & Variant \\
\hline
\cmd{leq} & $\leq$ & $\leqslant$ \\
\cmd{geq} & $\geq$ & $\geqslant$ \\
\cmd{nleq} & $\nleq$ & $\nleqslant$ \\
\cmd{ngeq} & $\ngeq$ & $\ngeqslant$ \\
\cmd{leqq} & $\leqq$ & $\leqqslant$ \\
\cmd{geqq} & $\geqq$ & $\geqqslant$ \\
\cmd{nleqq} & $\nleqq$ & $\nleqqslant$ \\
\cmd{ngeqq} & $\ngeqq$ & $\ngeqqslant$ \\
\cmd{eqless} & $\eqless$ & $\eqslantless$ \\
\cmd{eqgtr} & $\eqgtr$ & $\eqslantgtr$ \\
\cmd{lesseqgtr} & $\lesseqgtr$ & $\lesseqslantgtr$ \\
\cmd{gtreqless} & $\gtreqless$ & $\gtreqslantless$ \\
\cmd{lesseqqgtr} & $\lesseqqgtr$ & $\lesseqqslantgtr$ \\
\cmd{gtreqqless} & $\gtreqqless$ & $\gtreqqslantless$ \\
\hline
\end{tabular}
}\hspace{10mm} % eof subfloat
\subfloat[\texttt{Style=smaller\quad (+ss05)}]{\hlabel{ss05}%
\begin{tabular}[t]{@{}lcc@{}}
\hline
Command & Default & Variant \\
\hline
\cmd{in} & $\in$ & $\smallin$ \\
\cmd{ni} & $\ni$ & $\smallni$ \\
\cmd{mid} & $\mid$ & $\shortmid$ \\
\cmd{nmid} & $\nmid$ & $\nshortmid$ \\
\cmd{parallel} & $\parallel$ & $\shortparallel$ \\
\cmd{nparallel} & $\nparallel$ & $\nshortparallel$ \\
\hline
\end{tabular}
}% eof subfloat
\end{table}
\verb+StylisticSet=6+, alias \verb+Style=subsetneq+, converts some inclusion
symbols as shown by table~\vref{ss06}.
\begin{table}[ht]
\centering
\caption{Stylistic Sets 6}\hlabel{ss06}
\begin{tabular}[t]{@{}lcc@{}}
\hline
Command & Default & Variant \\
\hline
\cmd{subsetneq} & $\subsetneq$ & $\varsubsetneq$ \\
\cmd{supsetneq} & $\supsetneq$ & $\varsupsetneq$ \\
\cmd{subsetneqq} & $\subsetneqq$ & $\varsubsetneqq$ \\
\cmd{supsetneqq} & $\supsetneqq$ & $\varsupsetneqq$ \\
\hline
\end{tabular}
\end{table}
To enable Stylistic Sets 4 and 6 for \CCM{}, you should enter
\begin{verbatim}
\setmathfont{Concrete-Math.otf}[StylisticSet={4,6}] or
\usepackage[Style={leqslant,subsetneq}]{concmath-otf}
\end{verbatim}
then, \verb+\[x\leq y \quad A \subsetneq B\]+
will print as\\
\setmathfont{Concrete-Math.otf}[StylisticSet={4,6}]
$x\leq y \quad A \subsetneq B$\qquad
instead of\qquad
\setmathfont{Concrete-Math.otf}%
$x\leq y \quad A \subsetneq B$
\verb+StylisticSet=3+, alias%
\footnote{These \texttt{Style} aliases are provided by \file{concmath-otf.sty}.}
\verb+Style=upint+, converts integrals signs into their upright
variants, see table~\vref{ss03}.
\begin{table}[ht]
\let\DS\displaystyle
\centering
\caption{Style=upint\quad (+ss03)}\hlabel{ss03}
\begin{tabular}[t]{@{}l*{8}c@{}}
\hline
Command &\cmd{int} &\cmd{iint} &\cmd{iiint} &\cmd{iiiint}
&\cmd{oint} &\cmd{oiint} &\cmd{oiiint} \\
\hline
Default\rule[-15pt]{0pt}{35pt} &$\DS\int$ &$\DS\iint$ &$\DS\iiint$ &$\DS\iiiint$
&$\DS\oint$ &$\DS\oiint$ &$\DS\oiint$ &$\DS\oiiint$
\\[\baselineskip]
\setmathfont{Concrete-Math.otf}[Style=upint]
Upright\rule[-15pt]{0pt}{30pt} &$\DS\int$ &$\DS\iint$ &$\DS\iiint$ &$\DS\iiiint$
&$\DS\oint$ &$\DS\oiint$ &$\DS\oiint$ &$\DS\oiiint$ \\
\hline
\end{tabular}\\[\baselineskip]
\setmathfont{Concrete-Math.otf}
\begin{tabular}[t]{@{}l*{4}c@{}}
\hline
Command &\cmd{intclockwise} &\cmd{awint}
&\cmd{varointclockwise} &\cmd{ointctrclockwise} \\
\hline
Default\rule[-15pt]{0pt}{35pt} &$\DS\intclockwise$ &$\DS\awint$
&$\DS\varointclockwise$ &$\DS\ointctrclockwise$ \\
\setmathfont{Concrete-Math.otf}[Style=upint]
Upright\rule[-15pt]{0pt}{30pt} &$\DS\intclockwise$ &$\DS\awint$
&$\DS\varointclockwise$ &$\DS\ointctrclockwise$ \\
\hline
\end{tabular}
\end{table}
\setmathfont{Concrete-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 \CCM{}, for some of them loading
\pkg{concmath-otf.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}
\[\overparen{x}\quad \overparen{xy}\quad \overparen{xyz}\quad
\mathring{\overparen{A\cup B}}\quad
\overparen{A\cup (B\cap C)\cup D}^{\smwhtcircle}\quad
\overparen{x+y}^{2}\quad \overparen{a+b+...+z}^{26}\]
\[\underparen{x}\quad \underparen{xz} \quad \underparen{xyz}
\quad \underparen{x+z}_{2}\quad \underparen{a+b+...+z}_{26}\]
\item \cmd{overbrace} and \cmd{underbrace}
\[\overbrace{a}\quad \overbrace{ab}\quad \overbrace{abc}\quad
\overbrace{abcd}\quad \overbrace{abcde}\quad
\overbrace{a+b+c}^{3}\quad \overbrace{ a+b+. . . +z }^{26}\]
\[\underbrace{a}\quad\underbrace{ab}\quad\underbrace{abc}\quad
\underbrace{abcd}\quad \underbrace{abcde}\quad
\underbrace{a+b+c}_{3} \quad \underbrace{ a+b+...+z }_{26}\]
\item \cmd{overbracket} and \cmd{underbracket}
\[\overbracket{a}\quad \overbracket{ab}\quad \overbracket{abc}\quad
\overbracket{abcd}\quad \overbracket{abcde}\quad
\overbracket{a+b+c}^{3}\quad \overbracket{ a+b+. . . +z }^{26}\]
\[\underbracket{a}\quad\underbracket{ab}\quad\underbracket{abc}\quad
\underbracket{abcd}\quad \underbracket{abcde}\quad
\underbracket{a+b+c}_{3} \quad \underbracket{ a+b+...+z }_{26}\]
\item \cmd{overrightarrow} and \cmd{overleftarrow}
\[\overrightarrow{v}\quad \overrightarrow{M}\quad \overrightarrow{vv}
\quad \overrightarrow{AB}\quad \overrightarrow{ABC}
\quad \overrightarrow{ABCD} \quad \overrightarrow{ABCDEFGH}.
\]
\[\overleftarrow{v}\quad \overleftarrow{M}\quad \overleftarrow{vv}
\quad \overleftarrow{AB}\quad \overleftarrow{ABC}
\quad \overleftarrow{ABCD} \quad \overleftarrow{ABCDEFGH}\]
\item \cmd{overrightharpoon} and \cmd{overleftharpoon}
\[\overrightharpoon{v}\quad \overrightharpoon{M}\quad \overrightharpoon{vv}
\quad \overrightharpoon{AB}\quad \overrightharpoon{ABC}
\quad \overrightharpoon{ABCD} \quad \overrightharpoon{ABCDEFGH}.
\]
\[\overleftharpoon{v}\quad \overleftharpoon{M}\quad \overleftharpoon{vv}
\quad \overleftharpoon{AB}\quad \overleftharpoon{ABC}
\quad \overleftharpoon{ABCD} \quad \overleftharpoon{ABCDEFGH}\]
\item \cmd{underrightarrow} and \cmd{underleftarrow}
\[\underrightarrow{v}\quad \underrightarrow{M}\quad \underrightarrow{vv}
\quad \underrightarrow{AB}\quad \underrightarrow{ABC}
\quad \underrightarrow{ABCD} \quad \underrightarrow{ABCDEFGH}.
\]
\[\underleftarrow{v}\quad \underleftarrow{M}\quad \underleftarrow{vv}
\quad \underleftarrow{AB}\quad \underleftarrow{ABC}
\quad \underleftarrow{ABCD} \quad \underleftarrow{ABCDEFGH}\]
\item \cmd{underrightharpoon} and \cmd{underleftharpoondown}
\[\underrightharpoondown{v}\quad \underrightharpoondown{M}\quad
\underrightharpoondown{vv}\quad \underrightharpoondown{AB}\quad
\underrightharpoondown{ABC}\quad \underrightharpoondown{ABCD}\quad
\underrightharpoondown{ABCDEFGH}.
\]
\[\underleftharpoondown{v}\quad \underleftharpoondown{M}\quad
\underleftharpoondown{vv}\quad \underleftharpoondown{AB}\quad
\underleftharpoondown{ABC}\quad \underleftharpoondown{ABCD}
\quad \underleftharpoondown{ABCDEFGH}.
\]
\item Finally \cmd{widearc} and \cmd{overrightarc} (loading
\pkg{concmath-otf.sty} is required)
\[\widearc{AMB}\quad \overrightarc{AMB}\]
\end{itemize}
All the extensible arrows provided by the \pkg{mathtools} package are
available in the Concrete Math font (loading \pkg{concmath-otf.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 italic, upright, bold
and bold italic via the \verb+\symit{}+, \verb+\symup{}+, \verb+\symbf{}+
and \verb+\symbfit{}+ commands.
\item Calligraphic alphabet uppercase only (commands \cmd{symscr} or
\cmd{symcal}), also in Bold (commands \cmd{symbfscr} or \cmd{symbfcal}):
$\symscr{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$\\
$\symbfscr{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
\item Blackboard-bold alphabet (\cmd{symbb} or \cmd{mathbb} command):
$\symbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$\\
$\symbb{abcdefghijklmnopqrstuvwxyz}$ $\symbb{0123456789}$
\item Fraktur alphabet, borrowed from Latin Modern:
$\symfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz}$
any alphabet can overwritten, i.e.
\begin{verbatim}
\setmathfont{Asana-Math.otf}[range=frak,Scale=MatchUppercase]
$\symfrak{ABCDEFGHIJKL...XYZ abcdefghijkl...xyz}$
\end{verbatim}
\setmathfont{Asana-Math.otf}[range=frak,Scale=MatchUppercase]
$\symfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz}$
\item Sans-serif (Latin and Greek) and Typewriter (Latin) alphabets
(commands \verb+\symsfup{}+, \verb+\symsfit{}+, \verb+\symbfsfup{}+,
\verb+\symbfsfit{}+, \verb+\symtt{}+):
$\symsfup{ABCDEFGHIJKLM abcdefghijklm}\quad
\symsfit{NOPQRSTUVWXYZ nopqrstuvwxyz}$
$\symbfsfup{ΑΒΓΔΕΖΗΘΙΚΛΜαβγδεζηθικλμ}\quad
\symbfsfit{ÎΞΟΠΡΣΤΥΦΧΨΩνξοπÏσςτυφχψω}$
$\symtt{ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz}$
\end{itemize}
\subsection{Bold variant}
\setmathfont{Concrete-Math.otf}[BoldFont=Concrete-Math-Bold.otf]
In case short maths formulas have to be printed in section titles,
a \emph{limited} bold variant has been added in version~0.60.
Example of usage: \quad\textbf{\boldmath Einstein’s equation $E=mc^2$}\\
\verb+\setmathfont{Concrete-Math-Bold.otf}[version=bold, +\textit{options}\verb+]+
\\
\verb+\section{\mathversion{bold} Einstein’s equation $E=mc^2$}+
It is also possible to use the \verb+\boldmath+ command if the BoldFont has
been declared when defining Concrete-Math:\\
\verb+\setmathfont{Concrete-Math-Regular.otf}[BoldFont=Concrete-Math-Bold.otf]+\\
\verb+\section{\boldmath Einstein’s equation $E=mc^2$}+
\subsection{Missing symbols}
\CCM{} does not aim at being as complete as \file{STIXTwoMath-Regular} or
\file{Cambria}, the current glyph coverage compares with TeXGyre maths 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 }$⥤$%
\texttt{ (U+2964) in font ConcreteMath}
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}]+
Let’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 U+2964}'',
see the manpage or \file{albatross-manual.pdf}.
\section{Acknowledgements}
The original Metafont glyphs have been converted first to Type\,1 (pfa) using
\pkg{mftrace} and \pkg{fontforge}. The \pkg{cm-unicode} package has also
helped a lot while cleaning the glyphs.
I am grateful to George Williams and his co-workers for providing and
maintaining FontForge and to Ulrik Vieth for his illuminating paper published
in TUGboat~2009 Volume~30 about OpenType Math.
\end{document}
%%% Local Variables:
%%% mode: latex
%%% TeX-engine: luatex
%%% TeX-master: t
%%% coding: utf-8
%%% End: