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+%D \module
+%D [ file=font-mat,
+%D version=2011.01.13, % (copied fron font-ini)
+%D title=\CONTEXT\ Font Macros,
+%D subtitle=Math,
+%D author=Hans Hagen,
+%D date=\currentdate,
+%D copyright={PRAGMA ADE \& \CONTEXT\ Development Team}]
+%C
+%C This module is part of the \CONTEXT\ macro||package and is
+%C therefore copyrighted by \PRAGMA. See mreadme.pdf for
+%C details.
+
+\writestatus{loading}{ConTeXt Font Macros / Math}
+
+\unprotect
+
+%D Be nice:
+
+\ifdefined\??fontinstanceready \else \installcorenamespace{fontinstanceready} \fi
+\ifdefined\??fontinstancebasic \else \installcorenamespace{fontinstancebasic} \fi
+\ifdefined\??fontinstanceclass \else \installcorenamespace{fontinstanceclass} \fi
+
+%D \macros
+%D {textonly}
+%D
+%D Traditionally math has a big impact on font definitions, mainly
+%D because we need to define alphabet variants using families and
+%D fonts. This means that one can easily get 10 fonts loaded per
+%D math size. In \MKIV\ we use a different approach: one family
+%D which has either a virtual font made of traditional fonts, or
+%D an \OPENTYPE\ font that has it all.
+%D
+%D We currently use only one math family but in the future we
+%D might consider using a second one for bold math. For the
+%D moment we keep the \MKII\ method of using a token register
+%D for definitions but we already dropped the text and symbols
+%D ones since they now live in the same family.
+
+\newtoks \t_font_math_strategies
+\newconditional\c_font_synchronize_math_fonts \settrue\c_font_synchronize_math_fonts
+
+\unexpanded\def\font_helpers_synchronize_math % math stuff in mmode
+ {\ifconditional\c_font_synchronize_math_fonts\the\t_font_math_strategies\fi}
+
+\unexpanded\def\textonly{\setfalse\c_font_synchronize_math_fonts} % document this
+
+%D The main math font definer. We have removed some optimized
+%D code simply because we now always have a fontclass. We could
+%D check for fontclass being default or empty and save a few
+%D tests but it does not help us when no math is defined.
+
+%D Because we want to keep mr=.. and mb=... settings (read: not
+%D break downward compatibility by enforcing mrlr etc) we need a
+%D bit more code that optimal.
+
+% todo: \c_font_fam_mr
+
+\let\c_font_fam_mr \zerocount % math regular
+\let\c_font_fam_mr_lr\plusone % math regular l2r
+\let\c_font_fam_mr_rl\plustwo % math regular r2l
+
+\let\c_font_fam_mb \plusthree % math bold
+\let\c_font_fam_mb_lr\plusfour % math bold l2r
+\let\c_font_fam_mb_rl\plusfive % math bold r2l
+
+\definesystemattribute[mathfamily][public]
+
+\newconditional\c_font_bidirectional_math_strategy % can be default, not that much overhead: \settrue\c_font_bidirectional_math_strategy
+\newconditional\c_font_complete_bold_math_strategy \settrue\c_font_complete_bold_math_strategy
+
+\def\mathtextsuffix {-text}
+\def\mathscriptsuffix {-script}
+\def\mathscriptscriptsuffix{-scriptscript}
+
+\def\mathsizesuffix{\ifcase\fontface\or\mathtextsuffix\or\mathscriptsuffix\or\mathscriptscriptsuffix\fi}
+
+% Beware: truefontname also does a fallback on defaultfontclass so there
+% can be some interference here, which is why we use a different method
+% for bold.
+
+\def\font_helpers_set_math_family_a
+ {\ifcsname\??fontinstanceready\fontclass -\fontbody-\s!mm-\fontfamily-\fontsize\endcsname \setfalse\c_font_auto_size
+ \csname\??fontinstanceready\fontclass -\fontbody-\s!mm-\fontfamily-\fontsize\endcsname \else
+ \ifcsname\??fontinstanceready\fontclass -\fontbody-\s!mm-\fontfamily \endcsname \settrue \c_font_auto_size
+ \csname\??fontinstanceready\fontclass -\fontbody-\s!mm-\fontfamily \endcsname \else
+ \font_helpers_set_math_family_b
+ \fi\fi}
+
+\def\font_helpers_set_math_family_b
+ {\ifcsname\??fontinstanceready\defaultfontclass-\fontbody-\s!mm-\fontfamily-\fontsize\endcsname \setfalse\c_font_auto_size
+ \csname\??fontinstanceready\defaultfontclass-\fontbody-\s!mm-\fontfamily-\fontsize\endcsname \else
+ \ifcsname\??fontinstanceready\defaultfontclass-\fontbody-\s!mm-\fontfamily \endcsname \settrue \c_font_auto_size
+ \csname\??fontinstanceready\defaultfontclass-\fontbody-\s!mm-\fontfamily \endcsname \else
+ \font_helpers_set_math_family_c
+ \fi\fi}
+
+\def\font_helpers_set_math_family_c
+ {\ifcsname\??fontinstanceready \fontbody-\s!mm-\fontfamily-\fontsize\endcsname \setfalse\c_font_auto_size
+ \csname\??fontinstanceready \fontbody-\s!mm-\fontfamily-\fontsize\endcsname \else
+ \ifcsname\??fontinstanceready \fontbody-\s!mm-\fontfamily \endcsname \settrue \c_font_auto_size
+ \csname\??fontinstanceready \fontbody-\s!mm-\fontfamily \endcsname \else
+ \nullfont \settrue \c_font_auto_size
+ \fi\fi}
+
+\def\font_helpers_set_math_family_indeed#mrtag#family% \fontface etc are also used later on
+ {\let\savedfontbody\fontbody
+ \let\fontfamily#family%
+ \let\fontface\!!plusthree\font_helpers_set_math_family_a\scriptscriptfont#mrtag\font
+ \let\fontface\!!plustwo \font_helpers_set_math_family_a\scriptfont #mrtag\font
+ \let\fontface\!!plusone \font_helpers_set_math_family_a\textfont #mrtag\font
+ \let\fontface\!!zerocount
+ \let\fontbody\savedfontbody
+ \setfalse\c_font_auto_size}
+
+\def\font_helpers_set_math_family_bold_a#font#mbfam#mrfam%
+ {\ifcsname\??fontinstanceready\fontclass-\fontbody-\s!mm-\fontfamily-\fontsize\endcsname \setfalse\c_font_auto_size
+ \csname\??fontinstanceready\fontclass-\fontbody-\s!mm-\fontfamily-\fontsize\endcsname #font#mbfam\font \else
+ \ifcsname\??fontinstanceready\fontclass-\fontbody-\s!mm-\fontfamily \endcsname \settrue \c_font_auto_size
+ \csname\??fontinstanceready\fontclass-\fontbody-\s!mm-\fontfamily \endcsname #font#mbfam\font \else
+ #font#mbfam#font#mrfam%
+ \fi\fi}
+
+\def\font_helpers_set_math_family_bold_indeed#mbfam#familytag#mrfam% \c_font_fam_mb \s!mb \c_font_fam_mr
+ {\let\savedfontclass\defaultfontclass
+ \let\defaultfontclass\fontclass % else truefontname falls back on the wrong one
+ \let\savedfontbody\fontbody
+ \let\fontfamily#familytag%
+ \let\fontface\!!plusthree\font_helpers_set_math_family_bold_a\scriptscriptfont#mbfam#mrfam%
+ \let\fontface\!!plustwo \font_helpers_set_math_family_bold_a\scriptfont #mbfam#mrfam%
+ \let\fontface\!!plusone \font_helpers_set_math_family_bold_a\textfont #mbfam#mrfam%
+ \let\fontface\!!zerocount
+ \let\fontbody\savedfontbody
+ \let\defaultfontclass\savedfontclass
+ \setfalse\c_font_auto_size}
+
+% optimized: math fonts are never changed (10K \bfa $x$: 3.2 => 2.5 (baseline 1.0))
+%
+% sort of tricky: we cannot reset in \everybeforedefinetypeface as we don't know
+% all sizes so we postpone the optimization to the first starttext
+%
+% pitfall: we should reset 'm when a fontclass name is reused
+
+\newconditional\optimizemathfontdefinitions \settrue\optimizemathfontdefinitions
+
+\def\font_helpers_set_math_family#mrfam#familytag%
+ {\ifconditional\optimizemathfontdefinitions
+ \ifcsname\??fontinstanceclass\fontclass-\fontbody-\s!mm-#familytag-\fontsize-1\endcsname
+ % \writestatus{fonts}{math: reusing \fontclass\fontbody\s!mm#familytag\fontsize1}%
+ \font_helpers_preset_math_family_indeed#mrfam#familytag%
+ \else
+ % \writestatus{fonts}{math: defining \fontclass\fontbody\s!mm#familytag\fontsize1}%
+ \font_helpers_set_math_family_indeed#mrfam#familytag%
+ \fi
+ \else
+ \font_helpers_set_math_family_indeed#mrfam#familytag%
+ \fi}
+
+\def\font_helpers_set_math_family_bold#mbfam#familytag#mrfam%
+ {\ifconditional\optimizemathfontdefinitions
+ \ifcsname\??fontinstanceclass\fontclass-\textface-\s!mm-#familytag-\fontsize-1\endcsname
+ \font_helpers_preset_math_family_indeed#mbfam#familytag%
+ \else
+ \font_helpers_set_math_family_bold_indeed#mbfam#familytag#mrfam%
+ \fi
+ \else
+ \font_helpers_set_math_family_bold_indeed#mbfam#familytag#mrfam%
+ \fi}
+
+\def\font_helpers_preset_math_family_indeed#fam#familytag%
+ {\scriptscriptfont#fam\csname\??fontinstanceclass\fontclass-\fontbody-\s!mm-#familytag-\fontsize-3\endcsname
+ \scriptfont #fam\csname\??fontinstanceclass\fontclass-\fontbody-\s!mm-#familytag-\fontsize-2\endcsname
+ \textfont #fam\csname\??fontinstanceclass\fontclass-\fontbody-\s!mm-#familytag-\fontsize-1\endcsname}
+
+\let\font_helpers_reset_fontclass_math_families\gobbleoneargument
+
+% It would be nice if characters could be defined in a neutral way (say fam 255) and
+% be mapped to a real family during noad list construction. However, this changes
+% tex in critical places so for the moment we simulate this using manipulation.
+
+% For tracing purposes we use three families but in l2r mode 1 and 2 are copies of 0
+% while in rl mode 0 is a copy of 1. There is no real overhead involved in this. This
+% also permits different font definitions for normal and mixed.
+
+\let\m_font_class_direction\empty
+\let\m_font_class_features \empty
+\let\m_font_class_fallbacks\empty
+\let\m_font_class_goodies \empty
+
+\let\m_font_direction\empty
+\let\m_font_features \empty
+\let\m_font_fallbacks\empty
+\let\m_font_goodies \empty
+
+\appendtoks % can be analyzed once
+ % why here ..
+ \edef\m_font_class_direction{\ifcsname\??fontclass\fontclass\s!mm\s!direction\endcsname\csname\??fontclass\fontclass\s!mm\s!direction\endcsname\fi}%
+ % ...
+ \ifx\m_font_class_direction\v!both
+ \settrue\c_font_bidirectional_math_strategy
+ \else
+ \setfalse\c_font_bidirectional_math_strategy
+ \fi
+\to \t_font_math_strategies
+
+\def\font_helpers_bidirectional_mathstrategy_yes
+ {\font_helpers_set_math_family\c_font_fam_mr_lr\s!mrlr
+ \font_helpers_set_math_family\c_font_fam_mr_rl\s!mrrl
+ \textfont \c_font_fam_mr\textfont \c_font_fam_mr_lr
+ \scriptfont \c_font_fam_mr\scriptfont \c_font_fam_mr_lr
+ \scriptscriptfont\c_font_fam_mr\scriptscriptfont\c_font_fam_mr_lr}
+
+\def\font_helpers_bidirectional_mathstrategy_nop
+ {\font_helpers_set_math_family\c_font_fam_mr\s!mr
+ \textfont \c_font_fam_mr_rl\textfont \c_font_fam_mr
+ \scriptfont \c_font_fam_mr_rl\scriptfont \c_font_fam_mr
+ \scriptscriptfont\c_font_fam_mr_rl\scriptscriptfont\c_font_fam_mr
+ \textfont \c_font_fam_mr_lr\textfont \c_font_fam_mr
+ \scriptfont \c_font_fam_mr_lr\scriptfont \c_font_fam_mr
+ \scriptscriptfont\c_font_fam_mr_lr\scriptscriptfont\c_font_fam_mr}
+
+\appendtoks
+ \ifconditional\c_font_bidirectional_math_strategy
+ \font_helpers_bidirectional_mathstrategy_yes
+ \else
+ \font_helpers_bidirectional_mathstrategy_nop
+ \fi
+\to \t_font_math_strategies
+
+\def\font_helpers_complete_bold_math_strategy_yes_bidi
+ {\font_helpers_set_math_family_bold\c_font_fam_mb_lr\s!mblr\c_font_fam_mr_lr
+ \font_helpers_set_math_family_bold\c_font_fam_mb_rl\s!mbrl\c_font_fam_mr_rl
+ \textfont \c_font_fam_mb\textfont \c_font_fam_mb_lr
+ \scriptfont \c_font_fam_mb\scriptfont \c_font_fam_mb_lr
+ \scriptscriptfont\c_font_fam_mb\scriptscriptfont\c_font_fam_mb_lr}
+
+\def\font_helpers_complete_bold_math_strategy_yes
+ {\font_helpers_set_math_family_bold\c_font_fam_mb\s!mb\c_font_fam_mr
+ \textfont \c_font_fam_mb_rl\textfont \c_font_fam_mb
+ \scriptfont \c_font_fam_mb_rl\scriptfont \c_font_fam_mb
+ \scriptscriptfont\c_font_fam_mb_rl\scriptscriptfont\c_font_fam_mb
+ \textfont \c_font_fam_mb_lr\textfont \c_font_fam_mb
+ \scriptfont \c_font_fam_mb_lr\scriptfont \c_font_fam_mb
+ \scriptscriptfont\c_font_fam_mb_lr\scriptscriptfont\c_font_fam_mb}
+
+\def\font_helpers_complete_bold_math_strategy_nop
+ {\textfont \c_font_fam_mb \textfont \c_font_fam_mr
+ \scriptfont \c_font_fam_mb \scriptfont \c_font_fam_mr
+ \scriptscriptfont\c_font_fam_mb \scriptscriptfont\c_font_fam_mr
+ \textfont \c_font_fam_mb_rl\textfont \c_font_fam_mr_rl
+ \scriptfont \c_font_fam_mb_rl\scriptfont \c_font_fam_mr_rl
+ \scriptscriptfont\c_font_fam_mb_rl\scriptscriptfont\c_font_fam_mr_rl
+ \textfont \c_font_fam_mb_lr\textfont \c_font_fam_mr_lr
+ \scriptfont \c_font_fam_mb_lr\scriptfont \c_font_fam_mr_lr
+ \scriptscriptfont\c_font_fam_mb_lr\scriptscriptfont\c_font_fam_mr_lr}
+
+\def\font_helpers_apply_complete_bold_math_strategy
+ {\ifconditional\c_font_complete_bold_math_strategy
+ \ifconditional\c_font_bidirectional_math_strategy
+ \font_helpers_complete_bold_math_strategy_yes_bidi
+ \else
+ \font_helpers_complete_bold_math_strategy_yes
+ \fi
+ \else
+ \font_helpers_complete_bold_math_strategynop
+ \fi}
+
+\appendtoks
+ \font_helpers_apply_complete_bold_math_strategy
+\to \t_font_math_strategies
+
+\ifdefined\defaultmathfamily \else
+ \setnewconstant\defaultmathfamily\zerocount
+\fi
+
+\appendtoks
+ \fam\defaultmathfamily % all characters and symbols are in this family
+\to \everymathematics
+
+\unexpanded\def\font_helpers_synchronize_math_family_mr
+ {\attribute\mathfamilyattribute\ifconditional\c_font_bidirectional_math_strategy
+ \ifconditional\c_math_right_to_left
+ \plustwo
+ \else
+ \plusone
+ \fi
+ \else
+ \zerocount
+ \fi}
+
+\unexpanded\def\font_helpers_synchronize_math_family_mb
+ {\attribute\mathfamilyattribute\ifconditional\c_font_bidirectional_math_strategy
+ \ifconditional\c_math_right_to_left
+ \ifconditional\c_font_pseudo_bold_math_state\pluseight\else\plusfive\fi
+ \else
+ \ifconditional\c_font_pseudo_bold_math_state\plusseven\else\plusfour\fi
+ \fi
+ \else
+ \ifconditional\c_font_pseudo_bold_math_state\plussix\else\plusthree\fi
+ \fi}
+
+\installcorenamespace{fontmathsynchronizer}
+\installcorenamespace{fontmathstoredstrategy}
+
+\letvalue{\??fontmathsynchronizer\s!tf }\font_helpers_synchronize_math_family_mr
+\letvalue{\??fontmathsynchronizer\s!sl }\font_helpers_synchronize_math_family_mr
+\letvalue{\??fontmathsynchronizer\s!it }\font_helpers_synchronize_math_family_mr
+\letvalue{\??fontmathsynchronizer\s!bf }\font_helpers_synchronize_math_family_mb
+\letvalue{\??fontmathsynchronizer\s!bs }\font_helpers_synchronize_math_family_mb
+\letvalue{\??fontmathsynchronizer\s!bi }\font_helpers_synchronize_math_family_mb
+\letvalue{\??fontmathsynchronizer\empty}\font_helpers_synchronize_math_family_mr
+
+\def\font_helpers_synchronize_math_family
+ {\csname\??fontmathsynchronizer\ifcsname\??fontmathsynchronizer\fontalternative\endcsname\fontalternative\fi\endcsname}
+
+\ifdefined \fontid % we need to keep this test for a while
+ \appendtoks
+ \ifnum\fontid\textfont\zerocount=\fontid\textfont\plusthree
+ \letvalue{\??fontmathstoredstrategy\fontclass}\font_helpers_set_math_partial_bold_strategy
+ \else
+ \letvalue{\??fontmathstoredstrategy\fontclass}\font_helpers_set_math_full_bold_strategy
+ \fi
+ \to \t_font_math_strategies
+\else
+ \appendtoks
+ \edef\currentmathfontmr{\fontname\textfont\zerocount}%
+ \edef\currentmathfontmb{\fontname\textfont\plusthree}%
+ \ifx\currentmathfontmr\currentmathfontmb
+ \letvalue{\??fontmathstoredstrategy\fontclass}\font_helpers_set_math_partial_bold_strategy
+ \else
+ \letvalue{\??fontmathstoredstrategy\fontclass}\font_helpers_set_math_full_bold_strategy
+ \fi
+ \to \t_font_math_strategies
+\fi
+
+\def\font_helpers_synchronize_math_bold_strategy{\csname\??fontmathstoredstrategy\fontclass\endcsname}
+
+\newconditional\c_font_pseudo_bold_math_state
+
+\def\font_helpers_set_math_partial_bold_strategy{\settrue \c_font_pseudo_bold_math_state}
+\def\font_helpers_set_math_full_bold_strategy {\setfalse\c_font_pseudo_bold_math_state}
+
+\appendtoks
+ \font_helpers_synchronize_math_bold_strategy
+\to \everymathematics
+
+% Bold is somewhat special as we might want both full-bold-math mixed
+% regular-math, as well as automatic adaption to outer bold (in titles
+% and inline text bold) so we will need explicit switches as well as
+% an automatic one. (We will use lucida as an example.)
+
+\unexpanded\def\mr
+ {\ifmmode
+ \font_helpers_synchronize_math_family_mr
+ \else
+ \font_helpers_set_current_font_alternative\s!mr
+ \fi}
+
+\unexpanded\def\mb
+ {\ifmmode
+ \font_helpers_synchronize_math_family_mb
+ \else
+ \font_helpers_set_current_font_alternative\s!mb
+ \fi}
+
+\appendtoks
+ \font_helpers_synchronize_math_family % auto bold
+\to \everymathematics
+
+%D \macros
+%D {bigmath,nobigmath}
+%D
+%D We can inhibit this slow||downer with:
+
+% these can best be combined
+
+% 0=never 1=everymath 2=always
+
+\setnewconstant\synchronizebigmathflag\plusone
+
+\appendtoks
+ \ifcase\synchronizebigmathflag
+ % never
+ \or
+ \synchronizebigmath
+ \or
+ % always
+ \fi
+\to \everymathematics
+
+\unexpanded\def\nobigmath {\synchronizebigmathflag\zerocount}
+\unexpanded\def\autobigmath{\synchronizebigmathflag\plusone\synchronizebigmath}
+\unexpanded\def\bigmath {\synchronizebigmathflag\plustwo\synchronizebigmath}
+
+\let\bigmathfontsize\empty
+
+\unexpanded\def\synchronizebigmath
+ {\ifx\bigmathfontsize\fontsize
+ % already in sync
+ \else
+ \let\bigmathfontsize\fontsize
+ \font_helpers_synchronize_math
+ \fi}
+
+\unexpanded\def\font_helpers_check_big_math_synchronization
+ {\ifcase\synchronizebigmathflag
+ % never
+ \or
+ \ifmmode \synchronizebigmath \fi
+ \or
+ \synchronizebigmath
+ \fi}
+
+\protect \endinput