summaryrefslogtreecommitdiff
path: root/fonts/concmath-otf/concmath-otf.ltx
blob: e1370c02b7d35ac3288f0aa0468c87490739858e (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
\RequirePackage{pdfmanagement-testphase}
\DeclareDocumentMetadata{pdfstandard=A-2b, lang=en-GB}
\documentclass[a4paper,12pt]{scrartcl}

\usepackage{amsmath, 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}{0.21}

\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 font name
\end{verbatim}
this loads \CCM{} as math font with the default options, see
subsections~\vref{ssection-um}, \vref{ssection-cv} and~\vref{ssection-ss}
for customisation.

\enlargethispage*{\baselineskip}
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]
\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 Math font and Concrete Text fonts as Roman fonts
(families \textit{sf} and \textit{tt} left unchanged) but 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 math 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 mentionned 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, these two packages \emph{should not} be loaded as they might
override \CCM{} glyphs.

Sans-serif, typewriter glyphs are not supplied.
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 Math 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 but they can
be added to the \cmd{setmathfont} call%
\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+$\uppi,\itpi$+
prints $\uppi, \itpi$.

If your text editor is able to handle greek letters or math 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 \texttt{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 mathematical symbols.

\verb+StylisticSet=4+, alias%
\footnote{These \texttt{Style} aliases are provided by \file{concmath-otf.sty}.}
\verb+Style=leqslant+, converts (large) inequalites 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{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{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}%
$x\leq y \quad A \subsetneq B$

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

All standard \LaTeX{} math 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 acccents are also supported:
\begin{itemize}
\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{overline} and \cmd{underline}
  \[\overline{x}\quad \overline{xy}\quad \overline{xyz}\quad
    \overline{A\cup B}\quad \overline{A\cup (B\cap C)\cup D}\quad
    \underline{m+n+p}\]

\item \cmd{wideoverbar}:\quad
  $\wideoverbar{x}\quad \wideoverbar{xy}\quad \wideoverbar{xyz}$

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

\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 (\cmd{symscr} or \cmd{symcal} or
  \cmd{mathcal} command), uppercase:

  $\symscr{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$

\item Blackboard-bold alphabet (\cmd{symbb} or \cmd{mathbb} command),
  uppercase only except lowercase \verb+\Bbbk+ (AMS)

  $\symbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}\quad \Bbbk$

\item Fraktur alphabet, borrowed from Latin Modern

  $\symfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz}$

  but this 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 and Typewriter alphabets have to be imported, i.e.
\begin{verbatim}
\setmathfont{STIXTwoMath-Regular.otf}[range={sfup,sfit},
                            Scale=MatchUppercase]
$\symsfup{ABCD...klm}\quad\symsfit{NOPQ...xyz}$
\end{verbatim}
\setmathfont{STIXTwoMath-Regular.otf}[range={sfup,sfit},Scale=MatchUppercase]
$\symsfup{ABCDEFGHIJKLM abcdefghijklm}\quad
    \symsfit{NOPQRSTUVWXYZ nopqrstuvwxyz}$

\begin{verbatim}
\setmathfont{STIXTwoMath-Regular.otf}[range=tt,Scale=MatchUppercase]
$\symtt{ABCDE...XYZ abcde...xyz}$
\end{verbatim}
\setmathfont{STIXTwoMath-Regular.otf}[range=tt,Scale=MatchUppercase]
$\symtt{ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz}$
\end{itemize}

\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 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 }$⥤$%
\texttt{ (U+2964) in font ErewhonMath}

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 Open Type Math.

\end{document}

%%% Local Variables:
%%% mode: latex
%%% TeX-engine: luatex
%%% TeX-master: t
%%% coding: utf-8
%%% End: