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%% This is part of the OpTeX project, see http://petr.olsak.net/optex

\_codedecl \_ncharrmA {Uni math codes <2021-03-11>} % preloaded on demand by \loadmath

   \_doc -----------------------------
   The control sequences for `\alpha`, `\beta` etc are redefined here.
   The `\alpha` expands to the character with Unicode `"03B1`, this is a normal
   character $α$. You can type it directly in your editor if you know how
   to do this.
   \_cod -----------------------------

\_umathnumB="0391
\_greekdef \Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Eta \Theta \Iota \Kappa
   \Lambda \Mu \Nu \Xi \Omicron \Pi \Rho \varTheta \Sigma \Tau \Upsilon \Phi
   \Chi \Psi \Omega \_relax

\_umathnumB="03B1
\_greekdef \alpha \beta \gamma \delta \varepsilon \zeta \eta \theta \iota \kappa
   \lambda \mu \nu \xi \omicron \pi \rho \varsigma \sigma \tau \upsilon
   \varphi \chi \psi \omega \vardelta \epsilon \vartheta \varkappa \phi
   \varrho \varpi \_relax

   \_doc -----------------------------
   The math alphabets are declared here using the
   \^`\_umathrange {<range>}<class><family><starting-code>` macro.
   \_cod -----------------------------

\_chardef\_ncharrmA=`A       \_chardef\_ncharrma=`a
\_chardef\_ncharbfA="1D400   \_chardef\_ncharbfa="1D41A
\_chardef\_ncharitA="1D434   \_chardef\_ncharita="1D44E
\_chardef\_ncharbiA="1D468   \_chardef\_ncharbia="1D482
\_chardef\_ncharclA="1D49C   \_chardef\_ncharcla="1D4B6
\_chardef\_ncharbcA="1D4D0   \_chardef\_ncharbca="1D4EA
\_chardef\_ncharfrA="1D504   \_chardef\_ncharfra="1D51E
\_chardef\_ncharbrA="1D56C   \_chardef\_ncharbra="1D586
\_chardef\_ncharbbA="1D538   \_chardef\_ncharbba="1D552
\_chardef\_ncharsnA="1D5A0   \_chardef\_ncharsna="1D5BA
\_chardef\_ncharbsA="1D5D4   \_chardef\_ncharbsa="1D5EE
\_chardef\_ncharsiA="1D608   \_chardef\_ncharsia="1D622
\_chardef\_ncharsxA="1D63C   \_chardef\_ncharsxa="1D656
\_chardef\_ncharttA="1D670   \_chardef\_nchartta="1D68A

\_protected\_def\_rmvariables     {\_umathrange{A-Z}71\_ncharrmA \_umathrange{a-z}71\_ncharrma}
\_protected\_def\_bfvariables     {\_umathrange{A-Z}71\_ncharbfA \_umathrange{a-z}71\_ncharbfa}
\_protected\_def\_itvariables     {\_umathrange{A-Z}71\_ncharitA \_umathrange{a-z}71\_ncharita}
\_protected\_def\_bivariables     {\_umathrange{A-Z}71\_ncharbiA \_umathrange{a-z}71\_ncharbia}
\_protected\_def\_calvariables    {\_umathrange{A-Z}71\_ncharclA \_umathrange{a-z}71\_ncharcla}
\_protected\_def\_bcalvariables   {\_umathrange{A-Z}71\_ncharbcA \_umathrange{a-z}71\_ncharbca}
\_protected\_def\_frakvariables   {\_umathrange{A-Z}71\_ncharfrA \_umathrange{a-z}71\_ncharfra}
\_protected\_def\_bfrakvariables  {\_umathrange{A-Z}71\_ncharbrA \_umathrange{a-z}71\_ncharbra}
\_protected\_def\_bbvariables     {\_umathrange{A-Z}71\_ncharbbA \_umathrange{a-z}71\_ncharbba}
\_protected\_def\_sansvariables   {\_umathrange{A-Z}71\_ncharsnA \_umathrange{a-z}71\_ncharsna}
\_protected\_def\_bsansvariables  {\_umathrange{A-Z}71\_ncharbsA \_umathrange{a-z}71\_ncharbsa}
\_protected\_def\_isansvariables  {\_umathrange{A-Z}71\_ncharsiA \_umathrange{a-z}71\_ncharsia}
\_protected\_def\_bisansvariables {\_umathrange{A-Z}71\_ncharsxA \_umathrange{a-z}71\_ncharsxa}
\_protected\_def\_ttvariables     {\_umathrange{A-Z}71\_ncharttA \_umathrange{a-z}71\_nchartta}

\_chardef\_greekrmA="0391   \_chardef\_greekrma="03B1
\_chardef\_greekbfA="1D6A8  \_chardef\_greekbfa="1D6C2
\_chardef\_greekitA="1D6E2  \_chardef\_greekita="1D6FC
\_chardef\_greekbiA="1D71C  \_chardef\_greekbia="1D736
\_chardef\_greeksnA="1D756  \_chardef\_greeksna="1D770
\_chardef\_greeksiA="1D790  \_chardef\_greeksia="1D7AA

\_protected\_def\_itgreek    {\_umathrangegreek71\_greekita}
\_protected\_def\_rmgreek    {\_umathrangegreek71\_greekrma}
\_protected\_def\_bfgreek    {\_umathrangegreek71\_greekbfa}
\_protected\_def\_bigreek    {\_umathrangegreek71\_greekbia}
\_protected\_def\_bsansgreek {\_umathrangegreek71\_greeksna}
\_protected\_def\_bisansgreek{\_umathrangegreek71\_greeksia}
\_protected\_def\_itGreek    {\_umathrangeGREEK71\_greekitA}
\_protected\_def\_rmGreek    {\_umathrangeGREEK71\_greekrmA}
\_protected\_def\_bfGreek    {\_umathrangeGREEK71\_greekbfA}
\_protected\_def\_biGreek    {\_umathrangeGREEK71\_greekbiA}
\_protected\_def\_bsansGreek {\_umathrangeGREEK71\_greeksnA}
\_protected\_def\_bisansGreek{\_umathrangeGREEK71\_greeksiA}

\_chardef\_digitrmO=`0
\_chardef\_digitbfO="1D7CE
\_chardef\_digitbbO="1D7D8
\_chardef\_digitsnO="1D7E2
\_chardef\_digitbsO="1D7EC
\_chardef\_digitttO="1D7F6

\_protected\_def\_rmdigits    {\_umathrange{0-9}71\_digitrmO}
\_protected\_def\_bfdigits    {\_umathrange{0-9}71\_digitbfO}
\_protected\_def\_bbdigits    {\_umathrange{0-9}71\_digitbbO}
\_protected\_def\_sansdigits  {\_umathrange{0-9}71\_digitsnO}
\_protected\_def\_bsansdigits {\_umathrange{0-9}71\_digitbsO}
\_protected\_def\_ttdigits    {\_umathrange{0-9}71\_digitttO}

   \_doc -----------------------------
   The  \`\cal`, \`\bbchar`, \`\frak`, \`\script`
   and
   the \`\rm`, \`\bf`, \`\it`, \`\bi`, \`\tt` are defined here.
   Their \"8bit definitions" from the file `math-preload.opm`
   (section~\ref[math-preload]) are removed.\nl
   You can redefine them again if you need different behavior (for example
   you don't want to use sans serif bold in math). What to do:
   \begtt \advance\hsize by2em
   \_protected\_def\_bf
      {\_tryloadbf\_tenbf \_inmath{\_bfvariables\_bfgreek\_bfGreek\_bfdigits}}
   \_protected\_def\_bi
      {\_tryloadbi\_tenbi \_inmath{\_bivariables\_bigreek\_bfGreek\_bfdigits}}
   \_public \bf \bi ;
   \endtt
   \`\_inmath` `{<cmds>}` applies `<cmds>` only in math mode.
   \_cod -----------------------------

\_protected\_def\_inmath#1{\_relax \_ifmmode#1\_fi} % to keep off \loop processing in text mode

% You can redefine these macros to follow your wishes.
% For example, you need upright lowercase greek letters, you don't need
% \bf and \bi behave as sans serif in math, ...

\_protected\_def\_rm {\_tryloadrm \_tenrm \_inmath{\_rmvariables \_rmdigits}}
\_protected\_def\_it {\_tryloadit \_tenit \_inmath{\_itvariables}}
\_protected\_def\_bf
   {\_tryloadbf \_tenbf \_inmath{\_bsansvariables \_bsansgreek \_bsansGreek \_bsansdigits}}
\_protected\_def\_bi
   {\_tryloadbi \_tenbi \_inmath{\_bisansvariables \_bisansgreek \_bsansGreek \_bsansdigits}}
\_protected\_def\_tt {\_tryloadtt \_tentt \_inmath{\_ttvariables \_ttdigits}}
\_protected\_def\_bbchar  {\_bbvariables \_bbdigits}
\_protected\_def\_cal     {\_calvariables}
\_protected\_def\_frak    {\_frakvariables}
\_protected\_def\_misans  {\_isansvariables \_sansdigits}
\_protected\_def\_mbisans {\_bisansvariables \_bisansgreek \_bsansGreek \_bsansdigits}
\_protected\_def\_script  {\_rmvariables \_fam4 }
\_protected\_def\_mit     {\_itvariables \_rmdigits \_itgreek \_rmGreek }

\_public \rm \it \bf \bi \tt \bbchar \cal \frak \misans \mbisans \script \mit ;

   \_doc -----------------------------
   Each Unicode slot carries information about math type. This is saved in
   the file `mathclass.txt` which is copied to `mathclass.opm` The file
   has the following format:
   {\vitt{mathclass.opm}\verbinput (70-85) mathclass.opm }
   We have to read this information and convert it to the `\Umathcode`s.
   \_cod -----------------------------

\_begingroup  % \input mathclass.opm  (which is a copy of MathClass.txt):
   \_def\_p#1;#2{\_edef\_tmp{\_pB#2}\_ifx\_tmp\_empty \_else\_pA#1....\_end#2\_fi}
   \_def\_pA#1..#2..#3\_end#4{%
      \_ifx\_relax#2\_relax \_pset{"#1}{#4}\_else
         \_umathnumA="#1
         \_loop
            \_pset{\_umathnumA}{#4}%
            \_ifnum\_umathnumA<"#2 \_advance\_umathnumA by1
         \_repeat
      \_fi
   }
   \_def\_pB#1{\_if#1L1\_fi \_if#1B2\_fi \_if#1V2\_fi \_if#1R3\_fi \_if#1N0\_fi \_if#1U0\_fi
             \_if#1F0\_fi \_if#1O4\_fi \_if#1C5\_fi \_if#1P6\_fi \_if#1A7\_fi}
   \_def\_pset#1#2{\_global\_Umathcode#1=\_tmp\_space 1 #1\_relax
      \_if#2O\_global\_Udelcode#1=1 #1\_relax\_fi
      \_if#2C\_global\_Udelcode#1=1 #1\_relax\_fi
      \_if#2F\_global\_Udelcode#1=1 #1\_relax\_fi
   }
   \_catcode`#=14
   \_everypar={\_setbox0=\_lastbox \_par \_p}
   \_setbox0=\_vbox{\_input mathclass.opm }
\_endgroup

   \_doc -----------------------------
   Each math symbol has its declaration in the file `unicode-math-table.tex`
   which is copied to `unimath-table.opm`. The file has the following format:
   {\vitt{unimath-table.opm}\verbinput (70-85) unimath-table.opm }
   We have to read this information and convert it to the Unicode math codes.
   \_cod -----------------------------

\_begingroup  % \input unimath-table.opm (it is a copy of unicode-math-table.tex):
   \_def\UnicodeMathSymbol #1#2#3#4{%
      \_ifnum#1=\_Umathcodenum#1 % the code isn't set by mathclass.opm
          \_global\_Umathchardef#2=0 1 #1 \_global\_Umathcode#1=0 1 #1
      \_else \_global\_Umathcharnumdef#2=\_Umathcodenum#1 \_fi
      \_ifx#3\_mathopen   \_gdef#2{\_Udelimiter 4 1 #1 }\_fi
      \_ifx#3\_mathclose  \_gdef#2{\_Udelimiter 5 1 #1 }\_fi
      \_ifx#3\_mathaccent \_gdef#2{\_Umathaccent fixed 7 1 #1 }\_fi
   }
   \_input unimath-table.opm
\_endgroup

   \_doc -----------------------------
   Many special characters must be declared with care...
   \_cod -----------------------------

\_global\_Udelcode`<=1 "027E8 % these characters have different meaning
\_global\_Udelcode`>=1 "027E9 % as normal and as delimeter

\_mit % default math alphabets setting

% hyphen character is transformed to minus:
\_Umathcode `- = 2 1 "2212

% mathclass defines : as Punct, plain.tex as Rel, we keep mathclass,
% i.e. there is difference from plain.tex, you can use $f:A\to B$.

\_let\{=\lbrace \_let\}=\rbrace

% mathclas defines ! as Ord, plain.tex as Close
\_Umathcode `! = 5 1 `!  % keep plain.tex declaration
\_Umathchardef \mathexclam = 5 1 `!
% mathclas defines ? as Punct, plain.tex as Close
\_Umathcode `? = 5 1 `?  % keep plain.tex declaration
\_Umathchardef \mathquestion = 5 1 `?

\_Umathcode `* = 2 1 "02217  % equivalent to \ast, like in plain TeX

\_protected\_def \_sqrt       {\_Uradical 1 "0221A }
\_protected\_def \_cuberoot   {\_Uradical 1 "0221B }
\_protected\_def \_fourthroot {\_Uradical 1 "0221C }

\_public \sqrt \cuberoot \fourthroot ;

\_def\_intwithnolimits#1#2 {\_ifx#1\_relax \_else
   \_ea\_let\_csname\_csstring#1op\_endcsname=#1%
   \_ea\_def\_ea #1\_ea{\_csname\_csstring#1op\_endcsname \_nolimits}%
   \_bgroup \_lccode`\~=#2 \_lowercase{\_egroup \_mathcode`~="8000 \_let ~=#1}%
   \_ea \_intwithnolimits \_fi
}
\_intwithnolimits \int "0222B \iint "0222C \iiint "0222D
   \oint "0222E \oiint "0222F \oiiint "02230
   \intclockwise "02231 \varointclockwise "02232 \ointctrclockwise "02233
   \sumint "02A0B \iiiint "02A0C \intbar "02A0D \intBar "02A0E \fint "02A0F
   \pointint "02A15 \sqint "02A16 \intlarhk "02A17 \intx "02A18
   \intcap "02A19 \intcup "02A1A \upint "02A1B \lowint "02A1C \_relax "0

\_protected\_def \vert  {\_Udelimiter 0 1 "07C }
\_protected\_def \Vert  {\_Udelimiter 0 1 "02016 }
\_protected\_def \Vvert {\_Udelimiter 0 1 "02980 }

\_protected\_def \_overbrace    #1{\mathop {\Umathaccent  7 1 "023DE{#1}}\limits}
\_protected\_def \_underbrace   #1{\mathop {\Umathaccent bottom 7 1 "023DF{#1}}\limits}
\_protected\_def \_overparen    #1{\mathop {\Umathaccent  7 1 "023DC{#1}}\limits}
\_protected\_def \_underparen   #1{\mathop {\Umathaccent bottom 7 1 "023DD{#1}}\limits}
\_protected\_def \_overbracket  #1{\mathop {\Umathaccent  7 1 "023B4{#1}}\limits}
\_protected\_def \_underbracket #1{\mathop {\Umathaccent bottom 7 1 "023B5{#1}}\limits}

\_public \overbrace \underbrace \overparen \underparen \overbracket \underbracket ;

\_protected\def \widehat            {\Umathaccent 7 1 "00302 }
\_protected\def \widetilde          {\Umathaccent 7 1 "00303 }
\_protected\def \overleftharpoon    {\Umathaccent 7 1 "020D0 }
\_protected\def \overrightharpoon   {\Umathaccent 7 1 "020D1 }
\_protected\def \overleftarrow      {\Umathaccent 7 1 "020D6 }
\_protected\def \overrightarrow     {\Umathaccent 7 1 "020D7 }
\_protected\def \overleftrightarrow {\Umathaccent 7 1 "020E1 }

\_mathchardef\ldotp="612E
\_let\|=\Vert
\_mathcode`\_="8000

\_global\_Umathcode    "22EF         = 0 1 "22EF % mathclass says that it is Rel
\_global\_Umathcode    "002E         = 0 1 "002E % mathclass says that dot is Punct
\_global\_Umathchardef \unicodecdots = 0 1 "22EF

\_global\_Umathcode `/ = 0 1 `/  % mathclass says that / is Bin, Plain TeX says that it is Ord.

% compressed dots in S and SS styles (usable in \matrix when it is in T, S and SS style)
\_protected\_def \vdots {\_relax \_ifnum \_mathstyle>3 \_unicodevdots \_else \_vdots \_fi}
\_protected\_def \ddots {\_relax \_ifnum \_mathstyle>3 \_unicodeddots \_else \_ddots \_fi}
\_protected\_def \adots {\_relax \_ifnum \_mathstyle>3 \_unicodeadots \_else \_adots \_fi}

% Unicode superscripts (²) and subscripts as simple macros with \mathcode"8000
\_bgroup
   \_def\_tmp#1#2{\_global\_mathcode#1="8000 \_lccode`\~=#1 \_lowercase{\_gdef~}{#2}}
   \_fornum 0..1 \_do {\_tmp{"207#1}{{^#1}}}
   \_tmp{"B2}{{^2}}\_tmp{"B3}{{^3}}
   \_fornum 4..9 \_do {\_tmp{"207#1}{{^#1}}}
   \_fornum 0..9 \_do {\_tmp{"208#1}{{_#1}}}
\_egroup

   \_doc -----------------------------
   Aliases are declared here. They are names not mentioned in the `unimath-table.opm` file
   but commonly used in \TeX.
   \_cod -----------------------------

\_let \setminus=\smallsetminus
\_let \diamond=\smwhtdiamond
\_let \colon=\mathcolon
\_let \bullet=\smblkcircle
\_let \circ=\vysmwhtcircle
\_let \bigcirc=\mdlgwhtcircle
\_let \to=\rightarrow
\_let \le=\leq
\_let \ge=\geq
\_let \neq=\ne
\_protected\_def \triangle {\mathord{\bigtriangleup}}
\_let \emptyset=\varnothing
\_let \hbar=\hslash
\_let \land=\wedge
\_let \lor=\vee
\_let \owns=\ni
\_let \gets=\leftarrow
\_let \mathring=\ocirc
\_let \lnot=\neg
\_let \longdivisionsign=\longdivision
\_let \backepsilon=\upbackepsilon
\_let \eth=\matheth
\_let \dbkarow=\dbkarrow
\_let \drbkarow=\drbkarrow
\_let \hksearow=\hksearrow
\_let \hkswarow=\hkswarrow

\_let \upalpha=\mupalpha
\_let \upbeta=\mupbeta
\_let \upgamma=\mupgamma
\_let \updelta=\mupdelta
\_let \upepsilon=\mupvarepsilon
\_let \upvarepsilon=\mupvarepsilon
\_let \upzeta=\mupzeta
\_let \upeta=\mupeta
\_let \uptheta=\muptheta
\_let \upiota=\mupiota
\_let \upkappa=\mupkappa
\_let \uplambda=\muplambda
\_let \upmu=\mupmu
\_let \upnu=\mupnu
\_let \upxi=\mupxi
\_let \upomicron=\mupomicron
\_let \uppi=\muppi
\_let \uprho=\muprho
\_let \upvarrho=\mupvarrho
\_let \upvarsigma=\mupvarsigma
\_let \upsigma=\mupsigma
\_let \uptau=\muptau
\_let \upupsilon=\mupupsilon
\_let \upvarphi=\mupvarphi
\_let \upchi=\mupchi
\_let \uppsi=\muppsi
\_let \upomega=\mupomega
\_let \upvartheta=\mupvartheta
\_let \upphi=\mupphi
\_let \upvarpi=\mupvarpi

   \_doc -----------------------------
   The \`\not` macro is redefined here. If the `\_not!<char>` is defined
   (by \`\_negationof`)
   then this macro is used. Else centered / is printed over the <char>.
   \_cod -----------------------------

\_protected\_def\_not#1{%
  \_trycs{_not!\_csstring#1}{\_mathrel\_mathstyles{%
     \_setbox0=\_hbox{\_math$\_currstyle#1$}%
     \_hbox to\_wd0{\_hss$\_currstyle/$\_hss}\_kern-\_wd0 \_box0
}}}
\_def\_negationof #1#2{\_ea\_let \_csname _not!\_csstring#1\_endcsname =#2}

\_negationof =         \neq
\_negationof <         \nless
\_negationof >         \ngtr
\_negationof \gets     \nleftarrow
\_negationof \simeq    \nsime
\_negationof \equal    \ne
\_negationof \le       \nleq
\_negationof \ge       \ngeq
\_negationof \greater  \ngtr
\_negationof \forksnot \forks
\_negationof \in       \notin
\_negationof \mid      \nmid
\_negationof \cong     \ncong
\_negationof \leftarrow \nleftarrow
\_negationof \rightarrow \nrightarrow
\_negationof \leftrightarrow \nleftrightarrow
\_negationof \Leftarrow \nLeftarrow
\_negationof \Leftrightarrow \nLeftrightarrow
\_negationof \Rightarrow \nRightarrow
\_negationof \exists  \nexists
\_negationof \ni      \nni
\_negationof \paralel \nparalel
\_negationof \sim     \nsim
\_negationof \approx  \napprox
\_negationof \equiv   \nequiv
\_negationof \asymp   \nasymp
\_negationof \lesssim \nlesssim
\_negationof \ngtrsim \ngtrsim
\_negationof \lessgtr \nlessgtr
\_negationof \gtrless \ngtrless
\_negationof \prec    \nprec
\_negationof \succ    \nsucc
\_negationof \subset  \nsubset
\_negationof \supset  \nsupset
\_negationof \subseteq \nsubseteq
\_negationof \supseteq \nsupseteq
\_negationof \vdash   \nvdash
\_negationof \vDash   \nvDash
\_negationof \Vdash  \nVdash
\_negationof \VDash  \nVDash
\_negationof \preccurlyeq \npreccurlyeq
\_negationof \succcurlyeq \nsucccurlyeq
\_negationof \sqsubseteq \nsqsubseteq
\_negationof \sqsupseteq \nsqsupseteq
\_negationof \vartriangleleft \nvartriangleleft
\_negationof \vartriangleright \nvartriangleright
\_negationof \trianglelefteq \ntrianglelefteq
\_negationof \trianglerighteq \ntrianglerighteq
\_negationof \vinfty \nvinfty

\_public \not ;

   \_doc -----------------------------
   Newly declared public control sequences are used in internal macros by
   \OpTeX/. We need to get new meanings for these control sequences in
   the private namespace.
   \_cod -----------------------------

\_private
   \ldotp \cdotp \bullet \triangleleft \trianglerigt \mapstochar \rightarrow
   \prime \lhook \rightarrow \leftarrow \rhook \triangleright \triangleleft
   \Relbar \Rightarrow \relbar \rightarrow \Leftarrow \mapstochar
   \longrightarrow \Longleftrightarrow \unicodevdots \unicodeddots \unicodeadots ;

\_endcode

\secc More Unicode-math examples

Example of using additional math font is in section 5.3 in the
\ulink[http://petr.olsak.net/ftp/olsak/optex/optex-math.pdf]{\tt optex-math.pdf} documentation

You can combine more Unicode math fonts in single formula simply
by the `\addUmathfont` macro, see
\ulink[http://petr.olsak.net/optex/optex-tricks.html#addumathfont]{\OpTeX/ trick 0030}.

See \url{http://tex.stackexchange.com/questions/308749}
for technical details about Unicode-math.

\_endinput

History:
2021-03-11  Umathcode `* declaed as \ast
2021-02-03  Unicode superscripts, subscripts declared
2021-01-31  Mathcode of ! ? set to Close, codes undeclared in mathclass set correctly
2021-01-23  Compressed \vdots, \ddots, \adots in script(script)style.
2020-11-13  Bug fix: \colon declared
2020-06-13  Umathcode of / declared as in Plain TeX
2020-06-07  \_itgreek \_itGreek, \_rmgreek \_rmGreek etc. introduced, names changed
2020-06-03  \not\mid = \nmid added, \not corrected
2020-04-30  Bug fix: \phi, \varpi etc. were bad encoded
2020-04-09  Bug fix: \Udelcode`<, \Udelcode`> added