%!TEX TS-program = LuaLaTeX

%%%%%%%%%%%%%%%%%%%%%%%
% SYMBOLS DEFINED BY UNICODE-MATH
%%%%%%%%%%%%%%%%%%%%%%%

\documentclass[final]{article}
\makeatletter

\usepackage{ragged2e,setspace,booktabs,catchfile,shortvrb,geometry,metalogo,textcomp,longtable,tabu,hyperref}

\geometry{margin=3cm}
\hypersetup{colorlinks,linkcolor=black}

\def\cmd#1{\texttt{\textbackslash\expandafter\@gobble\string#1}}

\usepackage{fontspec}
\setmainfont{texgyrepagella}%
 [
  Extension = .otf ,
  UprightFont = *-regular,
  ItalicFont = *-italic,
  BoldFont = *-bold,
  BoldItalicFont = *-bolditalic,
  Ligatures=TeX,
  Numbers={Lowercase,Monospaced},
 ]
\usepackage[math-style=literal,bold-style=literal]{unicode-math}

\ExplSyntaxOn
\cs_generate_variant:Nn \fontspec_set_fontface:NNnn {c}

\def\defmathfont#1#2#3{
  \newcounter{#1}
  \setcounter{#1}{-1}
  \setmathfont[version=#1,SizeFeatures={
      {Size=-10, Colour=999999},
      {Size=10-, Colour=#3}}]{#2}
  \fontspec_set_fontface:cNnn {#1} \x {ItalicFont={},BoldFont={}} {#2}
}
\ExplSyntaxOff

\defmathfont{lm}{latinmodern-math.otf}{CC6666}
\defmathfont{xits}{xits-math.otf}{CCCC66}
\defmathfont{stix}{STIXMath-Regular.otf}{AA66CC}
\defmathfont{cambria}{Cambria Math}{66CCCC}
\defmathfont{asana}{Asana-Math.otf}{6666CC}
\defmathfont{pagella}{texgyrepagella-math.otf}{AA6666}
\defmathfont{dejavu}{texgyredejavu-math.otf}{AACC66}
\defmathfont{euler}{euler.otf}{CC66CC}

\def\INPUT{\input{unicode-math-table.tex}}
\def\TABLE{%
\par\noindent
\begin{longtabu}[l]{@{}lcccccccclX[l]@{}}
  \toprule
  \textsc{usv} & M & X & S & C & A & P & D & E & Macro & Description \\
  \midrule \endhead
  \INPUT\\
  \bottomrule
\end{longtabu}
}
\makeatletter
\def\USV#1{\footnotesize\scshape\MakeLowercase{u+\@gobble#1}}
\makeatother
\def\CMD#1{\footnotesize\cmd#1}
\def\DESC#1{%
  \begin{spacing}{0.5}
    \RaggedRight\scriptsize #1%
  \end{spacing}
}

\newcommand\SHOW[1]{%
  \def\UnicodeMathSymbol##1##2##3##4{%
    \def\1{#1}\def\2{##3}%
    \ifx\1\2\PRINTLINE{##1}{##2}{##4}\fi
  }%
  \TABLE
}
\ExplSyntaxOn
\def\PRINTLINE#1#2#3{
    \def\tempa{
      \USV{#1} &
      \SYMB{#2}{lm}{#1} &
      \SYMB{#2}{xits}{#1} &
      \SYMB{#2}{stix}{#1} &
      \SYMB{#2}{cambria}{#1} &
      \SYMB{#2}{asana}{#1} &
      \SYMB{#2}{pagella}{#1} &
      \SYMB{#2}{dejavu}{#1} &
      \SYMB{#2}{euler}{#1} &
      \CMD{#2}
      \tl_if_in:NnT \PLAIN {#2}
        {
          \makebox[0pt][l]
            { \color[gray]{0.7} \textsuperscript{\sffamily (p)} }
        }
      \tl_if_in:NnT \LTXSYM {#2}
        {
          \makebox[0pt][l]
            { \color[gray]{0.7} \textsuperscript{\sffamily (l)} }
        }
      \tl_if_in:NnT \AMSSYMB {#2}
        {
          \makebox[0pt][l]
            { \color[gray]{0.7} \textsuperscript{\sffamily (a)} }
        }
      &
      \DESC{#3} \\
    }%
    \expandafter\tempa
}
\ExplSyntaxOff
\def\SYMB#1#2#3{%
  \expandafter\iffontchar\csname#2\endcsname #3\relax
    \refstepcounter{#2}%
    \mathversion{#2}%
    $\displaystyle#1$%
  \fi
}

\def\PLAIN{\alpha\beta\gamma\delta\epsilon\zeta\eta\theta\iota\kappa\lambda\mu\nu\xi\pi\rho\sigma\tau\upsilon\phi\chi\psi\omega\varepsilon\vartheta\varpi\varrho\varsigma\varphi\Gamma\Delta\Theta\Lambda\Xi\Pi\Sigma\Upsilon\Phi\Psi\Omega
%
\aleph\hbar\imath\jmath\ell\wp\Re\Im\partial\infty\prime\emptyset\nabla\surd\top\bot\angle\triangle\forall\exists\neg\flat\natural\sharp\clubsuit\diamondsuit\heartsuit\spadesuit
%
\coprod\bigvee\bigwedge\biguplus\bigcap\bigcup\int\prod\sum\bigotimes\bigoplus\bigodot\oint\bigsqcup\smallint
%
\triangleleft\triangleright\bigtriangleup\bigtriangledown\wedge\land\vee\lor\cap\cup\ddagger\dagger\sqcap\sqcup\uplus\amalg\diamond\bullet\wr\div\odot\oslash\otimes\ominus\oplus\mp\pm\circ\bigcirc\setminus\cdot\ast\times\star\propto\sqsubseteq\sqsupseteq\parallel\mid\dashv\vdash\nearrow\searrow\nwarrow\swarrow\Leftrightarrow\Leftarrow\Rightarrow\neq\ne\lnot\leq\le\geq\ge\succ\prec\approx\succeq\preceq\supset\subset\supseteq\subseteq\in\ni\owns\gg\ll\not\leftrightarrow\leftarrow\gets\rightarrow\to\mapstochar\mapsto\sim\simeq\perp\equiv\asymp\smile\frown\leftharpoonup\leftharpoondown\rightharpoonup\rightharpoondown
%
\joinrel\relbar\Relbar\lhook\hookrightarrow\rhook\hookleftarrow\bowtie\models\Longrightarrow\longrightarrow\longleftarrow\Longleftarrow\longmapsto\longleftrightarrow\Longleftrightarrow\iff
%
\ldotp\cdotp\colon\ldots\cdots\vdots\ddots
%
\acute\grave\ddot\tilde\bar\breve\check\hat\vec\dot\widetilde\widehat
%
\overrightarrow\overleftarrow\overbrace\underbrace\lmoustache\rmoustache\lgroup\rgroup\arrowvert\Arrowvert\bracevert\Vert\vert\uparrow\downarrow\updownarrow\Uparrow\Downarrow\Updownarrow\backslash\rangle\langle\rbrace\lbrace\rceil\lceil\rfloor\lfloor\sqrt}

\def\LTXSYM{
\cong
\notin
\rightleftharpoons
\doteq
\mathring
}

\def\AMSSYMB{\boxdot\boxplus\boxtimes\square\blacksquare\centerdot\lozenge\blacklozenge\circlearrowright\circlearrowleft\leftrightharpoons\boxminus\Vdash\Vvdash\vDash\twoheadrightarrow\twoheadleftarrow\leftleftarrows\rightrightarrows\upuparrows\downdownarrows\upharpoonright\restriction\downharpoonright\upharpoonleft\downharpoonleft\rightarrowtail\leftarrowtail\leftrightarrows\rightleftarrows\Lsh\Rsh\rightsquigarrow\leftrightsquigarrow\looparrowleft\looparrowright\circeq\succsim\gtrsim\gtrapprox\multimap\therefore\because\doteqdot\Doteq\triangleq\precsim\lesssim\lessapprox\eqslantless\eqslantgtr\curlyeqprec\curlyeqsucc\preccurlyeq\leqq\leqslant\lessgtr\backprime\risingdotseq\fallingdotseq\succcurlyeq\geqq\geqslant\gtrless\vartriangleright\vartriangleleft\trianglerighteq\trianglelefteq\bigstar\between\blacktriangledown\blacktriangleright\blacktriangleleft\vartriangle\blacktriangle\triangledown\eqcirc\lesseqgtr\gtreqless\lesseqqgtr\gtreqqless\Rrightarrow\Lleftarrow\veebar\barwedge\doublebarwedge\measuredangle\sphericalangle\varpropto\smallsmile\smallfrown\Subset\Supset\Cup\doublecup\Cap\doublecap\curlywedge\curlyvee\leftthreetimes\rightthreetimes\subseteqq\supseteqq\bumpeq\Bumpeq\lll\llless\ggg\gggtr\circledS\pitchfork\dotplus\backsim\backsimeq\complement\intercal\circledcirc\circledast\circleddash\lvertneqq\gvertneqq\nleq\ngeq\nless\ngtr\nprec\nsucc\lneqq\gneqq\nleqslant\ngeqslant\lneq\gneq\npreceq\nsucceq\precnsim\succnsim\lnsim\gnsim\nleqq\ngeqq\precneqq\succneqq\precnapprox\succnapprox\lnapprox\gnapprox\nsim\ncong\diagup\diagdown\varsubsetneq\varsupsetneq\nsubseteqq\nsupseteqq\subsetneqq\supsetneqq\varsubsetneqq\varsupsetneqq\subsetneq\supsetneq\nsubseteq\nsupseteq\nparallel\nmid\nshortmid\nshortparallel\nvdash\nVdash\nvDash\nVDash\ntrianglerighteq\ntrianglelefteq\ntriangleleft\ntriangleright\nleftarrow\nrightarrow\nLeftarrow\nRightarrow\nLeftrightarrow\nleftrightarrow\divideontimes\varnothing\nexists\Finv\Game\eth\eqsim\beth\gimel\daleth\lessdot\gtrdot\ltimes\rtimes\shortmid\shortparallel\smallsetminus\thicksim\thickapprox\approxeq\succapprox\precapprox\curvearrowleft\curvearrowright\digamma\varkappa\Bbbk\hslash\backepsilon}

\begin{document}
\MakeShortVerb\|
\title{Every symbol (most symbols) defined by \textsf{unicode-math}}
\author{Will Robertson\\\texttt{wspr81@gmail.com}}
\maketitle

This document uses the file \texttt{unicode-math-table.tex}
to print every symbol defined by the \textsf{unicode-math}
package.
Use this document to find the command name or the Unicode glyph slot for a symbol that you wish to use.
The following fonts are shown: (with approximate symbol counts)
\begin{itemize}
\item[M] \mathversion{lm} $\mathup{Latin\ Modern\ Math}$ (\ref{count:lm})
\item[X] \mathversion{xits} $\mathup{XITS\ Math}$ (\ref{count:xits})
\item[S] \mathversion{stix} $\mathup{STIX\ Math}$ (\ref{count:stix})
\item[C] \mathversion{cambria} $\mathup{Cambria\ Math}$ (\ref{count:cambria})
\item[A] \mathversion{asana} $\mathup{Asana\ Math}$ (\ref{count:asana})
\item[P] \mathversion{pagella} $\mathup{TeX\ Gyre\ Pagella\ Math}$ (\ref{count:pagella})
\item[D] \mathversion{dejavu} $\mathup{DejaVu\ Math\ TeX\ Gyre}$ (\ref{count:dejavu})
\item[E] \mathversion{euler} $\mathup{Neo\ Euler}$ (\ref{count:euler})
\end{itemize}
Note that there are addition maths fonts in the `\TeX\ Gyre' collection which aren't included here.

Symbols defined in Plain \TeX\ are indicated with {\color[gray]{0.6} \textsuperscript{\sffamily (p)}} after their macro name.
\LaTeX\ follows Plain \TeX, but defines a handful more, indicated with {\color[gray]{0.6} \textsuperscript{\sffamily (l)}}
Symbols defined in \textsf{amssymb} are indicated with {\color[gray]{0.6} \textsuperscript{\sffamily (a)}}.

\tableofcontents

\clearpage
\section{Opening symbols, \cmd\mathopen}
\begingroup
\def\sqrt{\sqrtsign{}}
\def\longdivision{\longdivisionsign{}}
\SHOW\mathopen
\endgroup

\clearpage
\section{Closing symbols, \cmd\mathclose}
\SHOW\mathclose

\clearpage
\section{Fence symbols, \cmd\mathfence}
\SHOW\mathfence

\section{Punctuation symbols, \cmd\mathpunct}
\SHOW\mathpunct

\section{`Over' symbols, \cmd\mathover}
\begingroup
\def\SYMB#1#2#3{%
  \expandafter\iffontchar\csname#2\endcsname #3\relax
    \refstepcounter{#2}%
    \mathversion{#2}%
    $\displaystyle #1{\mitx+\mity}$%
  \fi
}
\SHOW\mathover
\endgroup


\section{`Under' symbols, \cmd\mathunder}
\begingroup
\def\SYMB#1#2#3{%
  \expandafter\iffontchar\csname#2\endcsname #3\relax
    \refstepcounter{#2}%
    \mathversion{#2}%
    $\displaystyle #1{\mitx+\mity}$%
  \fi
}
\SHOW\mathunder
\endgroup

\clearpage
\section{Accents, \cmd\mathaccent}

Note that accents will only be properly placed if used with an OpenType font with the necessary information.

\begingroup
\def\SYMB#1#2#3{%
  \expandafter\iffontchar\csname#2\endcsname #3\relax
    \refstepcounter{#2}%
    \mathversion{#2}%
    $\displaystyle#1 \mitx$%
  \fi
}
\SHOW\mathaccent
\endgroup

\section{Bottom accents, \cmd\mathbotaccent}
\begingroup
\def\SYMB#1#2#3{%
  \expandafter\iffontchar\csname#2\endcsname #3\relax
    \refstepcounter{#2}%
    \mathversion{#2}%
    $\displaystyle#1 \mitx$%
  \fi
}
\SHOW\mathbotaccent
\endgroup

\clearpage
\section{Big operators, \cmd\mathop}

Of the operators shown below, a subset need to be flagged by \textsf{unicode-math} for \cmd\nolimits\ adjustments.
The limits behaviour as specified by \textsf{unicode-math} are shown with grey subscripts and superscripts.
\begingroup
\def\SYMB#1#2#3{%
  \expandafter\iffontchar\csname#2\endcsname #3\relax
    \stepcounter{#2}%
    \mathversion{#2}%
    $\displaystyle#1_0^1$%
  \fi
}
\SHOW\mathop
\endgroup

\section{Binary relations, \cmd\mathbin}
\SHOW\mathbin

\clearpage
\section{Ordinary symbols, \cmd\mathord}
\SHOW\mathord

\clearpage
\section{Relation symbols, \cmd\mathrel}
\SHOW\mathrel

\clearpage
\section{Alphabetical symbols, \cmd\mathalpha}

% first read in all \mathalpha symbols into a variable:
\ExplSyntaxOn
\cs_set:Npn \UnicodeMathSymbol #1#2#3#4 {
  \str_if_eq:nnT {\mathalpha} {#3} {
    \exp_not:n { \UnicodeMathSymbol {#1}{#2}{#3}{#4} }
  }
}
\CatchFileEdef
  \ALPHA{unicode-math-table.tex}
  {\char_set_catcode_space:N \ }

% now each time we print an alphabet we remove the slot;
% this ensures we won't miss anything

\def\INPUT{\ALPHA}
\cs_new:Npn \SLOTS #1#2 {
  \cs_set:Npn \UnicodeMathSymbol ##1##2##3##4 {
    \bool_lazy_and:nnT
      { \int_compare_p:n {##1 >= #1} }
      { \int_compare_p:n {##1 <= #2} }
      {
        \PRINTLINE{##1}{##2}{##4}
      }
  }
  \TABLE
  \cs_set:Npn \UnicodeMathSymbol ##1##2##3##4 {
    \bool_lazy_or:nnT
      { \int_compare_p:n {##1 > #2} }
      { \int_compare_p:n {##1 < #1} }
      {
        \exp_not:n { \UnicodeMathSymbol {##1}{##2}{##3}{##4} }
      }
  }
  \edef\ALPHA{\ALPHA}
}

\ExplSyntaxOff

\subsection{Normal weight}

\subsubsection{Upright Greek, uppercase}
\SLOTS{"00391}{"003A9}

\subsubsection{Upright Greek, lowercase}
\SLOTS{"003B1}{"003F5}

\subsubsection{Italic, Latin, uppercase}
\SLOTS{"1D434}{"1D44D}

\subsubsection{Italic, Latin, lowercase}
\SLOTS{"1D44E}{"1D467}

\subsubsection{Italic Greek, uppercase}
\SLOTS{"1D6E2}{"1D6FA}

\subsubsection{Italic Greek, lowercase}
\SLOTS{"1D6FC}{"1D71B}

\subsubsection{Script, Latin, uppercase}
\SLOTS{"1D49C}{"1D4B5}

\subsubsection{Script, Latin, lowercase}
\SLOTS{"1D4B6}{"1D4CF}

\subsubsection{Fraktur, Latin, uppercase}
\SLOTS{"1D504}{"1D51C}

\subsubsection{Fraktur, Latin, lowercase}
\SLOTS{"1D51E}{"1D537}

\subsubsection{Blackboard, Latin, uppercase}
\SLOTS{"1D538}{"1D550}

\subsubsection{Blackboard, Latin, lowercase}
\SLOTS{"1D552}{"1D56B}

\subsubsection{Sans serif, Latin, uppercase}
\SLOTS{"1D5A0}{"1D5B9}

\subsubsection{Sans serif, Latin, lowercase}
\SLOTS{"1D5BA}{"1D5D3}

\subsubsection{Italic sans serif, Latin, uppercase}
\SLOTS{"1D608}{"1D621}

\subsubsection{Italic sans serif, Latin, lowercase}
\SLOTS{"1D622}{"1D63B}

\subsubsection{Typewriter, Latin, uppercase}
\SLOTS{"1D670}{"1D689}

\subsubsection{Typewriter, Latin, lowercase}
\SLOTS{"1D68A}{"1D6A3}

\subsection{Bold}

\subsubsection{Bold, Latin, uppercase}
\SLOTS{"1D400}{"1D419}

\subsubsection{Bold, Latin, lowercase}
\SLOTS{"1D41A}{"1D433}

\subsubsection{Bold Greek, uppercase}
\SLOTS{"1D6A8}{"1D6C0}

\subsubsection{Bold Greek, lowercase}
\SLOTS{"1D6C2}{"1D6E1}

\subsubsection{Bold italic, Latin, uppercase}
\SLOTS{"1D468}{"1D481}

\subsubsection{Bold italic, Latin, lowercase}
\SLOTS{"1D482}{"1D49B}

\subsubsection{Bold italic Greek, uppercase}
\SLOTS{"1D71C}{"1D734}

\subsubsection{Bold italic Greek, lowercase}
\SLOTS{"1D736}{"1D755}

\subsubsection{Bold script, Latin, uppercase}
\SLOTS{"1D4D0}{"1D4E9}

\subsubsection{Bold script, Latin, lowercase}
\SLOTS{"1D4EA}{"1D503}

\subsubsection{Bold fraktur, Latin, uppercase}
\SLOTS{"1D56C}{"1D585}

\subsubsection{Bold fraktur, Latin, lowercase}
\SLOTS{"1D586}{"1D59F}

\subsubsection{Bold sans serif, Latin, uppercase}
\SLOTS{"1D5D4}{"1D5ED}

\subsubsection{Bold sans serif, Latin, lowercase}
\SLOTS{"1D5EE}{"1D607}

\subsubsection{Bold italic sans serif, Latin, uppercase}
\SLOTS{"1D63C}{"1D655}

\subsubsection{Bold italic sans serif, Latin, lowercase}
\SLOTS{"1D656}{"1D66F}

\subsubsection{Bold sans serif Greek, uppercase}
\SLOTS{"1D756}{"1D76E}

\subsubsection{Bold sans serif Greek, lowercase}
\SLOTS{"1D770}{"1D78F}

\subsubsection{Bold italic sans serif Greek, uppercase}
\SLOTS{"1D790}{"1D7A8}

\subsubsection{Bold italic sans serif Greek, lowercase}
\SLOTS{"1D7AA}{"1D7C9}

\subsection{Miscellaneous}
\def\UnicodeMathSymbol#1#2#3#4{\PRINTLINE{#1}{#2}{#4}}
\TABLE

\refstepcounter{lm}\label{count:lm}
\refstepcounter{xits}\label{count:xits}
\refstepcounter{stix}\label{count:stix}
\refstepcounter{cambria}\label{count:cambria}
\refstepcounter{asana}\label{count:asana}
\refstepcounter{pagella}\label{count:pagella}
\refstepcounter{euler}\label{count:euler}
\refstepcounter{dejavu}\label{count:dejavu}

\end{document}