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authorKarl Berry <karl@freefriends.org>2017-11-18 21:45:46 +0000
committerKarl Berry <karl@freefriends.org>2017-11-18 21:45:46 +0000
commit9746eec6f52784c17ea0fdd0c1d47e8deb9ca0f8 (patch)
tree093bb019d314b4b6e27f3f9dca5f69308ac68fb8 /Master/texmf-dist/source/latex/unicode-math/um-code-mathmap.dtx
parentff1a4fd0b6a85c7280ae498ad531d5397bedea87 (diff)
unicode-math (18nov17)
git-svn-id: svn://tug.org/texlive/trunk@45845 c570f23f-e606-0410-a88d-b1316a301751
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+%%^^A%% um-code-mathmap.dtx -- part of UNICODE-MATH <wspr.io/unicode-math>
+
+% \section{Mapping in maths alphabets}
+% \label{sec:mathmap}
+%
+% \begin{macrocode}
+%<*package>
+% \end{macrocode}
+%
+% Switching to a different style of alphabetic symbols was traditionally performed with
+% commands like \cmd\mathbf, which literally changes fonts to access alternate symbols.
+% This is not as simple with Unicode fonts.
+%
+% In traditional \TeX{} maths font setups, you simply switch between different `families' (\cmd\fam), which is analogous to changing from one font to another---a symbol such as `a' will be upright in one font, bold in another, and so on.
+% In pkg{unicode-math}, a different mechanism is used to switch between styles. For every letter (start with ascii a-zA-Z and numbers to keep things simple for now), they are assigned a `mathcode' with \cmd\Umathcode\ that maps from input letter to output font glyph slot. This is done with the equivalent of
+% \begin{Verbatim}
+% \Umathcode`\a = 7 1 "1D44E\relax
+% \Umathcode`\b = 7 1 "1D44F\relax
+% \Umathcode`\c = 7 1 "1D450\relax
+% ...
+% \end{Verbatim}
+% When switching from regular letters to, say, \cmd\mathrm, we now need to execute a new mapping:
+% \begin{Verbatim}
+% \Umathcode`\a = 7 1 `\a\relax
+% \Umathcode`\b = 7 1 `\b\relax
+% \Umathcode`\c = 7 1 `\c\relax
+% ...
+% \end{Verbatim}
+% This is fairly straightforward to perform when we're defining our own commands such as \cmd\symbf\ and so on. However, this means that `classical' \TeX\ font setups will break, because with the original mapping still in place, the engine will be attempting to insert unicode maths glyphs from a standard font.
+%
+% \subsection{Hooks into \LaTeXe}
+%
+% To overcome this, we patch \cs{use@mathgroup}.
+% (An alternative is to patch \cs{extract@alph@from@version}, which constructs the \cs{mathXYZ} commands, but this method fails if the command has been defined using \cs{DeclareSymbolFontAlphabet}.)
+% As far as I can tell, this is only used inside of commands such as \cs{mathXYZ}, so this shouldn't have any major side-effects.
+%
+% \begin{macrocode}
+\cs_set:Npn \use@mathgroup #1 #2
+ {
+ \mode_if_math:T % <- not sure if this is really necessary since we've just checked for mmode and raised an error if not!
+ {
+ \math@bgroup
+ \cs_if_eq:cNF {M@\f@encoding} #1 {#1}
+ \@@_switchto_literal:
+ \mathgroup #2 \relax
+ \math@egroup
+ }
+ }
+% \end{macrocode}
+%
+% In LaTeX maths, the command |\operator@font| is defined that switches to the |operator| mathgroup. The classic example is the |\sin| in |$\sin{x}$|; essentially we're using |\mathrm| to typeset the upright symbols, but the syntax is |{\operator@font sin}|.
+% I thought that hooking into |\operator@font| would be hard because all other maths font selection in 2e uses |\mathrm{...}| style.
+% Then reading source2e a little more I stumbled upon:
+% \begin{macro}{\operator@font}
+% \begin{macrocode}
+\cs_set:Npn \operator@font
+ {
+ \@@_switchto_literal:
+ \@fontswitch {} { \g_@@_operator_mathfont_tl }
+ }
+% \end{macrocode}
+% \end{macro}
+%
+%
+% \subsection{Setting styles}
+%
+% Algorithm for setting alphabet fonts.
+% By default, when |range| is empty, we are in \emph{implicit} mode.
+% If |range| contains the name of the math alphabet, we are in \emph{explicit}
+% mode and do things slightly differently.
+%
+% Implicit mode:
+% \begin{itemize}
+% \item Try and set all of the alphabet shapes.
+% \item Check for the first glyph of each alphabet to detect if the font supports each
+% alphabet shape.
+% \item For alphabets that do exist, overwrite whatever's already there.
+% \item For alphabets that are not supported, \emph{do nothing}.
+% (This includes leaving the old alphabet definition in place.)
+% \end{itemize}
+%
+% Explicit mode:
+% \begin{itemize}
+% \item Only set the alphabets specified.
+% \item Check for the first glyph of the alphabet to detect if the font contains
+% the alphabet shape in the Unicode math plane.
+% \item For Unicode math alphabets, overwrite whatever's already there.
+% \item Otherwise, use the \ascii\ glyph slots instead.
+% \end{itemize}
+%
+%
+%
+% \subsection{Defining the math style macros}
+%
+% We call the different shapes that a math alphabet can be a `math style'.
+% Note that different alphabets can exist within the same math style. E.g.,
+% we call `bold' the math style |bf| and within it there are upper and lower
+% case Greek and Roman alphabets and Arabic numerals.
+%
+% \begin{macro}{\@@_prepare_mathstyle:n}
+% \darg{math style name (e.g., \texttt{it} or \texttt{bb})}
+% Define the high level math alphabet macros (\cs{mathit}, etc.) in terms of
+% unicode-math definitions. Use \cs{bgroup}/\cs{egroup} so s'scripts scan the
+% whole thing.
+%
+% The flag \cs{l_@@_mathstyle_tl} is for other applications to query the
+% current math style.
+% \begin{macrocode}
+\cs_new:Nn \@@_prepare_mathstyle:n
+ {
+ \seq_put_right:Nn \g_@@_mathstyles_seq {#1}
+ \@@_init_alphabet:n {#1}
+ \cs_set:cpn {_@@_sym_#1_aux:n}
+ { \use:c {@@_switchto_#1:} \math@egroup }
+ \cs_set_protected:cpx {sym#1}
+ {
+ \exp_not:n
+ {
+ \math@bgroup
+ \mode_if_math:F
+ {
+ \egroup\expandafter
+ \non@alpherr\expandafter{\csname sym#1\endcsname\space}
+ }
+ \tl_set:Nn \l_@@_mathstyle_tl {#1}
+ }
+ \exp_not:c {_@@_sym_#1_aux:n}
+ }
+ }
+% \end{macrocode}
+% \end{macro}
+%
+%
+% \begin{macro}{\@@_init_alphabet:n}
+% \darg{math alphabet name (e.g., \texttt{it} or \texttt{bb})}
+% This macro initialises the macros used to set up a math alphabet.
+% First used when the math alphabet macro is first defined, but then used
+% later when redefining a particular maths alphabet.
+% \begin{macrocode}
+\cs_set:Nn \@@_init_alphabet:n
+ {
+ \@@_log:nx {alph-initialise} {#1}
+ \cs_set_eq:cN {@@_switchto_#1:} \prg_do_nothing:
+ }
+% \end{macrocode}
+% \end{macro}
+%
+% \subsection{Definition of alphabets and styles}
+%
+% First of all, we break up unicode into `named ranges', such as |up|, |bb|, |sfup|, and so on, which refer to specific blocks of unicode that contain various symbols (usually alphabetical symbols).
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_new_named_range:n
+ {
+ \prop_new:c {g_@@_named_range_#1_prop}
+ }
+\clist_set:Nn \g_@@_named_ranges_clist
+ {
+ up, it, tt, bfup, bfit, bb , bbit, scr, bfscr, cal, bfcal,
+ frak, bffrak, sfup, sfit, bfsfup, bfsfit, bfsf
+ }
+\clist_map_inline:Nn \g_@@_named_ranges_clist
+ { \@@_new_named_range:n {#1} }
+% \end{macrocode}
+%
+%
+% Each alphabet style needs to be configured.
+% This happens in Section~\ref{sec:setupalphabets}.
+% \begin{macrocode}
+\cs_new:Nn \@@_new_alphabet_config:nnn
+ {
+ \prop_if_exist:cF {g_@@_named_range_#1_prop}
+ { \@@_warning:nnn {no-named-range} {#1} {#2} }
+
+ \prop_gput:cnn {g_@@_named_range_#1_prop} { alpha_tl }
+ {
+ \prop_item:cn {g_@@_named_range_#1_prop} { alpha_tl }
+ {#2}
+ }
+ % Q: do I need to bother removing duplicates?
+
+ \cs_new:cn { @@_config_#1_#2:n } {#3}
+ }
+% \end{macrocode}
+% \begin{macrocode}
+\cs_new:Nn \@@_alphabet_config:nnn
+ {
+ \use:c {@@_config_#1_#2:n} {#3}
+ }
+% \end{macrocode}
+% \begin{macrocode}
+\prg_new_conditional:Nnn \@@_if_alphabet_exists:nn {T,TF}
+ {
+ \cs_if_exist:cTF {@@_config_#1_#2:n}
+ \prg_return_true: \prg_return_false:
+ }
+% \end{macrocode}
+%
+% The linking between named ranges and symbol style commands happens here.
+% It's currently not using all of the machinery we're in the process of setting up above.
+% Baby steps.
+% \begin{macrocode}
+\cs_new:Nn \@@_default_mathalph:nnn
+ {
+ \seq_put_right:Nx \g_@@_named_ranges_seq { \tl_to_str:n {#1} }
+ \seq_put_right:Nn \g_@@_default_mathalph_seq {{#1}{#2}{#3}}
+ \prop_gput:cnn { g_@@_named_range_#1_prop } { default-alpha } {#2}
+ }
+\@@_default_mathalph:nnn {up } {latin,Latin,greek,Greek,num,misc} {up }
+\@@_default_mathalph:nnn {it } {latin,Latin,greek,Greek,misc} {it }
+\@@_default_mathalph:nnn {bb } {latin,Latin,num,misc} {bb }
+\@@_default_mathalph:nnn {bbit } {misc} {bbit }
+\@@_default_mathalph:nnn {scr } {latin,Latin} {scr }
+\@@_default_mathalph:nnn {cal } {Latin} {scr }
+\@@_default_mathalph:nnn {bfcal } {Latin} {bfscr }
+\@@_default_mathalph:nnn {frak } {latin,Latin} {frak }
+\@@_default_mathalph:nnn {tt } {latin,Latin,num} {tt }
+\@@_default_mathalph:nnn {sfup } {latin,Latin,num} {sfup }
+\@@_default_mathalph:nnn {sfit } {latin,Latin} {sfit }
+\@@_default_mathalph:nnn {bfup } {latin,Latin,greek,Greek,num,misc} {bfup }
+\@@_default_mathalph:nnn {bfit } {latin,Latin,greek,Greek,misc} {bfit }
+\@@_default_mathalph:nnn {bfscr } {latin,Latin} {bfscr }
+\@@_default_mathalph:nnn {bffrak} {latin,Latin} {bffrak}
+\@@_default_mathalph:nnn {bfsfup} {latin,Latin,greek,Greek,num,misc} {bfsfup}
+\@@_default_mathalph:nnn {bfsfit} {latin,Latin,greek,Greek,misc} {bfsfit}
+% \end{macrocode}
+%
+% \subsubsection{Define symbol style commands}
+% Finally, all of the `symbol styles' commands are set up, which are the commands to access each of the named alphabet styles. There is not a one-to-one mapping between symbol style commands and named style ranges!
+% \begin{macrocode}
+\clist_map_inline:nn
+ {
+ up, it, bfup, bfit, sfup, sfit, bfsfup, bfsfit, bfsf,
+ tt, bb, bbit, scr, bfscr, cal, bfcal, frak, bffrak,
+ normal, literal, sf, bf,
+ }
+ { \@@_prepare_mathstyle:n {#1} }
+% \end{macrocode}
+%
+%
+% \subsubsection{New names for legacy textmath alphabet selection}
+% In case a package option overwrites, say, \cs{mathbf} with \cs{symbf}.
+% \begin{macrocode}
+\clist_map_inline:nn
+ { rm, it, bf, sf, tt }
+ { \cs_set_eq:cc { mathtext #1 } { math #1 } }
+% \end{macrocode}
+% Perhaps these should actually be defined using a hypothetical unicode-math interface to creating new such styles. To come.
+%
+%
+% \subsubsection{Replacing legacy pure-maths alphabets}
+% The following are alphabets which do not have a math/text ambiguity.
+% \begin{macrocode}
+\clist_map_inline:nn
+ {
+ normal, bb , bbit, scr, bfscr, cal, bfcal, frak, bffrak, tt,
+ bfup, bfit, sfup, sfit, bfsfup, bfsfit, bfsf
+ }
+ {
+ \cs_set:cpx { math #1 } { \exp_not:c { sym #1 } }
+ }
+% \end{macrocode}
+%
+%
+% \subsubsection{New commands for ambiguous alphabets}
+% \begin{macrocode}
+\AtBeginDocument{
+\clist_map_inline:nn
+ { rm, it, bf, sf, tt }
+ {
+ \cs_set_protected:cpx { math #1 }
+ {
+ \exp_not:n { \bool_if:NTF } \exp_not:c { g_@@_ math #1 _text_bool}
+ { \exp_not:c { mathtext #1 } }
+ { \exp_not:c { sym #1 } }
+ }
+ }}
+% \end{macrocode}
+%
+% \paragraph{Alias \cs{mathrm} as legacy name for \cs{mathup}}
+% \begin{macrocode}
+\cs_set_protected:Npn \mathup { \mathrm }
+\cs_set_protected:Npn \symrm { \symup }
+% \end{macrocode}
+%
+%
+%
+%
+% \subsection{Defining the math alphabets per style}
+%
+% \begin{macro}{\@@_setup_alphabets:}
+% This function is called within \cs{setmathfont} to configure the
+% mapping between characters inside math styles.
+% \begin{macrocode}
+\cs_new:Npn \@@_setup_alphabets:
+ {
+% \end{macrocode}
+% If |range=| has been used to configure styles, those choices will be in
+% |\l_@@_mathalph_seq|. If not, set up the styles implicitly:
+% \begin{macrocode}
+ \seq_if_empty:NTF \l_@@_mathalph_seq
+ {
+ \@@_log:n {setup-implicit}
+ \seq_set_eq:NN \l_@@_mathalph_seq \g_@@_default_mathalph_seq
+ \bool_set_true:N \l_@@_implicit_alph_bool
+ \@@_maybe_init_alphabet:n {sf}
+ \@@_maybe_init_alphabet:n {bf}
+ \@@_maybe_init_alphabet:n {bfsf}
+ }
+% \end{macrocode}
+% If |range=| has been used then we're in explicit mode:
+% \begin{macrocode}
+ {
+ \@@_log:n {setup-explicit}
+ \bool_set_false:N \l_@@_implicit_alph_bool
+ \cs_set_eq:NN \@@_set_mathalphabet_char:nnn \@@_mathmap_noparse:nnn
+ \cs_set_eq:NN \@@_map_char_single:nn \@@_map_char_noparse:nn
+ }
+
+ % Now perform the mapping:
+ \seq_map_inline:Nn \l_@@_mathalph_seq
+ {
+ \tl_set:No \l_@@_style_tl { \use_i:nnn ##1 }
+ \clist_set:No \l_@@_alphabet_clist { \use_ii:nnn ##1 }
+ \tl_set:No \l_@@_remap_style_tl { \use_iii:nnn ##1 }
+
+ % If no set of alphabets is defined:
+ \clist_if_empty:NT \l_@@_alphabet_clist
+ {
+ \cs_set_eq:NN \@@_maybe_init_alphabet:n \@@_init_alphabet:n
+ \prop_get:cnN { g_@@_named_range_ \l_@@_style_tl _prop }
+ { default-alpha } \l_@@_alphabet_clist
+ }
+
+ \@@_setup_math_alphabet:
+ }
+ \seq_if_empty:NF \l_@@_missing_alph_seq { \@@_log:n { missing-alphabets } }
+ }
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@@_setup_math_alphabet:}
+% \begin{macrocode}
+\cs_new:Nn \@@_setup_math_alphabet:
+ {
+% \end{macrocode}
+% First check that at least one of the alphabets for the font shape is defined
+% (this process is fast) \dots
+% \begin{macrocode}
+ \clist_map_inline:Nn \l_@@_alphabet_clist
+ {
+ \tl_set:Nn \l_@@_alphabet_tl {##1}
+ \@@_if_alphabet_exists:nnTF \l_@@_style_tl \l_@@_alphabet_tl
+ {
+ \str_if_eq_x:nnTF {\l_@@_alphabet_tl} {misc}
+ {
+ \@@_maybe_init_alphabet:n \l_@@_style_tl
+ \clist_map_break:
+ }
+ {
+ \@@_glyph_if_exist:NnT \l_@@_font { \@@_to_usv:nn {\l_@@_style_tl} {\l_@@_alphabet_tl} }
+ {
+ \@@_maybe_init_alphabet:n \l_@@_style_tl
+ \clist_map_break:
+ }
+ }
+ }
+ { \msg_warning:nnx {unicode-math} {no-alphabet} { \l_@@_style_tl / \l_@@_alphabet_tl } }
+ }
+% \end{macrocode}
+% \dots and then loop through them defining the individual ranges:
+% (currently this process is slow)
+% \begin{macrocode}
+%<debug> \csname TIC\endcsname
+ \clist_map_inline:Nn \l_@@_alphabet_clist
+ {
+ \tl_set:Nx \l_@@_alphabet_tl { \tl_trim_spaces:n {##1} }
+ \cs_if_exist:cT {@@_config_ \l_@@_style_tl _ \l_@@_alphabet_tl :n}
+ {
+ \exp_args:No \tl_if_eq:nnTF \l_@@_alphabet_tl {misc}
+ {
+ \@@_log:nx {setup-alph} {sym \l_@@_style_tl~(\l_@@_alphabet_tl)}
+ \@@_alphabet_config:nnn {\l_@@_style_tl} {\l_@@_alphabet_tl} {\l_@@_remap_style_tl}
+ }
+ {
+ \@@_glyph_if_exist:NnTF \l_@@_font { \@@_to_usv:nn {\l_@@_remap_style_tl} {\l_@@_alphabet_tl} }
+ {
+ \@@_log:nx {setup-alph} {sym \l_@@_style_tl~(\l_@@_alphabet_tl)}
+ \@@_alphabet_config:nnn {\l_@@_style_tl} {\l_@@_alphabet_tl} {\l_@@_remap_style_tl}
+ }
+ {
+ \bool_if:NTF \l_@@_implicit_alph_bool
+ {
+ \seq_put_right:Nx \l_@@_missing_alph_seq
+ {
+ \@backslashchar sym \l_@@_style_tl \space
+ (\tl_use:c{c_@@_math_alphabet_name_ \l_@@_alphabet_tl _tl})
+ }
+ }
+ {
+ \@@_alphabet_config:nnn {\l_@@_style_tl} {\l_@@_alphabet_tl} {up}
+ }
+ }
+ }
+ }
+ }
+%<debug> \csname TOC\endcsname
+ }
+% \end{macrocode}
+% \end{macro}
+%
+%
+% \subsection{Mapping `naked' math characters}
+%
+% Before we show the definitions of the alphabet mappings using the functions
+% |\@@_alphabet_config:nnn \l_@@_style_tl {##1} {...}|, we first want to define some functions
+% to be used inside them to actually perform the character mapping.
+%
+% \subsubsection{Functions}
+%
+% \begin{macro}{\@@_map_char_single:nn}
+% Wrapper for |\@@_map_char_noparse:nn| or |\@@_map_char_parse:nn|
+% depending on the context.
+%
+% \begin{macro}{\@@_map_char_noparse:nn}
+% \begin{macro}{\@@_map_char_parse:nn}
+% \begin{macrocode}
+\cs_new:Nn \@@_map_char_noparse:nn
+ { \@@_set_mathcode:nnnn {#1}{\mathalpha}{\l_@@_symfont_label_tl}{#2} }
+% \end{macrocode}
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_map_char_parse:nn
+ {
+ \@@_if_char_spec:nNNT {#1} {\@nil} {\mathalpha}
+ { \@@_map_char_noparse:nn {#1}{#2} }
+ }
+% \end{macrocode}
+% \end{macro}
+% \end{macro}
+% \end{macro}
+%
+% \begin{macro}{\@@_map_char_single:nnn}
+% \darg{char name (`dotlessi')}
+% \darg{from alphabet(s)}
+% \darg{to alphabet}
+% Logical interface to \cs{@@_map_char_single:nn}.
+% \begin{macrocode}
+\cs_new:Nn \@@_map_char_single:nnn
+ {
+ \@@_map_char_single:nn { \@@_to_usv:nn {#1}{#3} }
+ { \@@_to_usv:nn {#2}{#3} }
+ }
+% \end{macrocode}
+% \end{macro}
+%
+%
+% \begin{macro}{\@@_map_chars_range:nnnn}
+% \darg{Number of chars (26)}
+% \darg{From style, one or more (it)}
+% \darg{To style (up)}
+% \darg{Alphabet name (Latin)}
+% First the function with numbers:
+% \begin{macrocode}
+\cs_set:Nn \@@_map_chars_range:nnn
+ {
+ \int_step_inline:nnnn {0}{1}{#1-1}
+ { \@@_map_char_single:nn {#2+##1}{#3+##1} }
+ }
+% \end{macrocode}
+% And the wrapper with names:
+% \begin{macrocode}
+\cs_new:Nn \@@_map_chars_range:nnnn
+ {
+ \@@_map_chars_range:nnn {#1} { \@@_to_usv:nn {#2}{#4} }
+ { \@@_to_usv:nn {#3}{#4} }
+ }
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{Functions for `normal' alphabet symbols}
+%
+% \begin{macro}{\@@_set_normal_char:nnn}
+% \begin{macrocode}
+\cs_set:Nn \@@_set_normal_char:nnn
+ {
+ \@@_usv_if_exist:nnT {#3} {#1}
+ {
+ \clist_map_inline:nn {#2}
+ {
+ \@@_set_mathalphabet_pos:nnnn {normal} {#1} {##1} {#3}
+ \@@_map_char_single:nnn {##1} {#3} {#1}
+ }
+ }
+ }
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_set_normal_Latin:nn
+ {
+ \clist_map_inline:nn {#1}
+ {
+ \@@_set_mathalphabet_Latin:nnn {normal} {##1} {#2}
+ \@@_map_chars_range:nnnn {26} {##1} {#2} {Latin}
+ }
+ }
+% \end{macrocode}
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_set_normal_latin:nn
+ {
+ \clist_map_inline:nn {#1}
+ {
+ \@@_set_mathalphabet_latin:nnn {normal} {##1} {#2}
+ \@@_map_chars_range:nnnn {26} {##1} {#2} {latin}
+ }
+ }
+% \end{macrocode}
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_set_normal_greek:nn
+ {
+ \clist_map_inline:nn {#1}
+ {
+ \@@_set_mathalphabet_greek:nnn {normal} {##1} {#2}
+ \@@_map_chars_range:nnnn {25} {##1} {#2} {greek}
+ \@@_map_char_single:nnn {##1} {#2} {epsilon}
+ \@@_map_char_single:nnn {##1} {#2} {vartheta}
+ \@@_map_char_single:nnn {##1} {#2} {varkappa}
+ \@@_map_char_single:nnn {##1} {#2} {phi}
+ \@@_map_char_single:nnn {##1} {#2} {varrho}
+ \@@_map_char_single:nnn {##1} {#2} {varpi}
+ \@@_set_mathalphabet_pos:nnnn {normal} {epsilon} {##1} {#2}
+ \@@_set_mathalphabet_pos:nnnn {normal} {vartheta} {##1} {#2}
+ \@@_set_mathalphabet_pos:nnnn {normal} {varkappa} {##1} {#2}
+ \@@_set_mathalphabet_pos:nnnn {normal} {phi} {##1} {#2}
+ \@@_set_mathalphabet_pos:nnnn {normal} {varrho} {##1} {#2}
+ \@@_set_mathalphabet_pos:nnnn {normal} {varpi} {##1} {#2}
+ }
+ }
+% \end{macrocode}
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_set_normal_Greek:nn
+ {
+ \clist_map_inline:nn {#1}
+ {
+ \@@_set_mathalphabet_Greek:nnn {normal} {##1} {#2}
+ \@@_map_chars_range:nnnn {25} {##1} {#2} {Greek}
+ \@@_map_char_single:nnn {##1} {#2} {varTheta}
+ \@@_set_mathalphabet_pos:nnnn {normal} {varTheta} {##1} {#2}
+ }
+ }
+% \end{macrocode}
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_set_normal_numbers:nn
+ {
+ \@@_set_mathalphabet_numbers:nnn {normal} {#1} {#2}
+ \@@_map_chars_range:nnnn {10} {#1} {#2} {num}
+ }
+% \end{macrocode}
+%
+%
+% \subsection{Mapping chars inside a math style}
+%
+% \subsubsection{Functions for setting up the maths alphabets}
+%
+% \begin{macro}{\@@_set_mathalphabet_char:Nnn}
+% This is a wrapper for either |\@@_mathmap_noparse:nnn| or
+% |\@@_mathmap_parse:Nnn|, depending on the context.
+% \end{macro}
+%
+% \begin{macro}{\@@_mathmap_noparse:nnn}
+% \darg{Maths alphabet, \eg, `bb'}
+% \darg{Input slot(s), \eg, the slot for `A' (comma separated)}
+% \darg{Output slot, \eg, the slot for `$\mathbb{A}$'}
+% Adds \cs{@@_set_mathcode:nnnn} declarations to the specified maths alphabet's definition.
+% \begin{macrocode}
+\cs_new:Nn \@@_mathmap_noparse:nnn
+ {
+ \clist_map_inline:nn {#2}
+ {
+ \tl_put_right:cx {@@_switchto_#1:}
+ {
+ \@@_set_mathcode:nnnn {##1} {\mathalpha} {\l_@@_symfont_label_tl} {#3}
+ }
+ }
+ }
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@@_mathmap_parse:nnn}
+% \darg{Maths alphabet, \eg, `bb'}
+% \darg{Input slot(s), \eg, the slot for `A' (comma separated)}
+% \darg{Output slot, \eg, the slot for `$\mathbb{A}$'}
+% When \cmd\@@_if_char_spec:nNNT\ is executed, it populates the \cmd\l_@@_char_nrange_clist\
+% macro with slot numbers corresponding to the specified range. This range is used to
+% conditionally add \cs{@@_set_mathcode:nnnn} declaractions to the maths alphabet definition.
+% \begin{macrocode}
+\cs_new:Nn \@@_mathmap_parse:nnn
+ {
+ \clist_if_in:NnT \l_@@_char_nrange_clist {#3}
+ {
+ \@@_mathmap_noparse:nnn {#1}{#2}{#3}
+ }
+ }
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@@_set_mathalphabet_char:nnnn}
+% \darg{math style command}
+% \darg{input math alphabet name}
+% \darg{output math alphabet name}
+% \darg{char name to map}
+% \begin{macrocode}
+\cs_new:Nn \@@_set_mathalphabet_char:nnnn
+ {
+ \@@_set_mathalphabet_char:nnn {#1} { \@@_to_usv:nn {#2} {#4} }
+ { \@@_to_usv:nn {#3} {#4} }
+ }
+% \end{macrocode}
+% \end{macro}
+%
+% \begin{macro}{\@@_set_mathalph_range:nnnn}
+% \darg{Number of iterations}
+% \darg{Maths alphabet}
+% \darg{Starting input char (single)}
+% \darg{Starting output char}
+% Loops through character ranges setting \cmd\mathcode.
+% First the version that uses numbers:
+% \begin{macrocode}
+\cs_new:Nn \@@_set_mathalph_range:nnnn
+ {
+ \int_step_inline:nnnn {0} {1} {#1-1}
+ { \@@_set_mathalphabet_char:nnn {#2} { ##1 + #3 } { ##1 + #4 } }
+ }
+% \end{macrocode}
+% Then the wrapper version that uses names:
+% \begin{macrocode}
+\cs_new:Nn \@@_set_mathalph_range:nnnnn
+ {
+ \@@_set_mathalph_range:nnnn {#1} {#2} { \@@_to_usv:nn {#3} {#5} }
+ { \@@_to_usv:nn {#4} {#5} }
+ }
+% \end{macrocode}
+% \end{macro}
+%
+% \subsubsection{Individual mapping functions for different alphabets}
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_set_mathalphabet_pos:nnnn
+ {
+ \@@_usv_if_exist:nnT {#4} {#2}
+ {
+ \clist_map_inline:nn {#3}
+ { \@@_set_mathalphabet_char:nnnn {#1} {##1} {#4} {#2} }
+ }
+ }
+% \end{macrocode}
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_set_mathalphabet_numbers:nnn
+ {
+ \clist_map_inline:nn {#2}
+ { \@@_set_mathalph_range:nnnnn {10} {#1} {##1} {#3} {num} }
+ }
+% \end{macrocode}
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_set_mathalphabet_Latin:nnn
+ {
+ \clist_map_inline:nn {#2}
+ { \@@_set_mathalph_range:nnnnn {26} {#1} {##1} {#3} {Latin} }
+ }
+% \end{macrocode}
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_set_mathalphabet_latin:nnn
+ {
+ \clist_map_inline:nn {#2}
+ {
+ \@@_set_mathalph_range:nnnnn {26} {#1} {##1} {#3} {latin}
+ \@@_set_mathalphabet_char:nnnn {#1} {##1} {#3} {h}
+ }
+ }
+% \end{macrocode}
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_set_mathalphabet_Greek:nnn
+ {
+ \clist_map_inline:nn {#2}
+ {
+ \@@_set_mathalph_range:nnnnn {25} {#1} {##1} {#3} {Greek}
+ \@@_set_mathalphabet_char:nnnn {#1} {##1} {#3} {varTheta}
+ }
+ }
+% \end{macrocode}
+%
+% \begin{macrocode}
+\cs_new:Nn \@@_set_mathalphabet_greek:nnn
+ {
+ \clist_map_inline:nn {#2}
+ {
+ \@@_set_mathalph_range:nnnnn {25} {#1} {##1} {#3} {greek}
+ \@@_set_mathalphabet_char:nnnn {#1} {##1} {#3} {epsilon}
+ \@@_set_mathalphabet_char:nnnn {#1} {##1} {#3} {vartheta}
+ \@@_set_mathalphabet_char:nnnn {#1} {##1} {#3} {varkappa}
+ \@@_set_mathalphabet_char:nnnn {#1} {##1} {#3} {phi}
+ \@@_set_mathalphabet_char:nnnn {#1} {##1} {#3} {varrho}
+ \@@_set_mathalphabet_char:nnnn {#1} {##1} {#3} {varpi}
+ }
+ }
+% \end{macrocode}
+%
+% \begin{macrocode}
+%</package>
+% \end{macrocode}
+
+\endinput
+
+% /©
+%
+% ------------------------------------------------
+% The UNICODE-MATH package <wspr.io/unicode-math>
+% ------------------------------------------------
+% This package is free software and may be redistributed and/or modified under
+% the conditions of the LaTeX Project Public License, version 1.3c or higher
+% (your choice): <http://www.latex-project.org/lppl/>.
+% ------------------------------------------------
+% Copyright 2006-2017 Will Robertson, LPPL "maintainer"
+% Copyright 2010-2017 Philipp Stephani
+% Copyright 2011-2017 Joseph Wright
+% Copyright 2012-2015 Khaled Hosny
+% ------------------------------------------------
+%
+% ©/