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+%D \module
+%D [ file=syst-con,
+%D version=2006.09.16, % real old stuff ... 2000.12.10
+%D title=\CONTEXT\ System Macros,
+%D subtitle=Conversions,
+%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.
+
+\registerctxluafile{syst-con}{1.001}
+
+\unprotect
+
+%D When the number of conversions grew, it did no longer make
+%D sense to spread them over multiple files. So, instead of
+%D defining these in \type {font-ini}, we now have a dedicated
+%D module.
+
+%D \macros
+%D {lchexnumber,uchexnumber,lchexnumbers,uchexnumbers}
+%D
+%D In addition to the uppercase hex conversion, as needed in
+%D math families, we occasionally need a lowercase one, for
+%D instance when we want to compose gbsong fontnames.
+%D
+%D The ugly indirectness is needed to get rid of \TEX\
+%D induced spaces and \type {\relax}'s.
+%D
+%D \starttyping
+%D [\uchexnumber{0}]
+%D [\uchexnumber\scratchcounter]
+%D [\uchexnumber\zerocount]
+%D [\uchexnumber{\number0}]
+%D [\uchexnumber{\number\scratchcounter}]
+%D [\uchexnumber{\number\zerocount}]
+%D [\uchexnumber{\the\scratchcounter}]
+%D [\uchexnumber{\the\zerocount}]
+%D [\expandafter\uchexnumber\expandafter{\number0}]
+%D [\expandafter\uchexnumber\expandafter{\number\scratchcounter}]
+%D [\expandafter\uchexnumber\expandafter{\number\zerocount}]
+%D [\expandafter\uchexnumber\expandafter{\the\scratchcounter}]
+%D [\expandafter\uchexnumber\expandafter{\the\zerocount}]
+%D \stoptyping
+
+\def\lchexnumber #1{\clf_lchexnumber \numexpr#1\relax}
+\def\uchexnumber #1{\clf_uchexnumber \numexpr#1\relax}
+\def\lchexnumbers#1{\clf_lchexnumbers\numexpr#1\relax}
+\def\uchexnumbers#1{\clf_uchexnumbers\numexpr#1\relax}
+
+\let\hexnumber\uchexnumber
+
+%D \macros
+%D {octnumber}
+%D
+%D For unicode remapping purposes, we need octal numbers.
+
+\def\octnumber#1{\clf_octnumber\numexpr#1\relax}
+
+%D \macros
+%D {hexstringtonumber,octstringtonumber}
+%D
+%D This macro converts a two character hexadecimal number into
+%D a decimal number, thereby taking care of lowercase characters
+%D as well.
+
+\def\hexstringtonumber#1{\clf_hexstringtonumber\numexpr#1\relax}
+\def\octstringtonumber#1{\clf_octstringtonumber\numexpr#1\relax}
+
+%D \macros
+%D {rawcharacter}
+%D
+%D This macro can be used to produce proper 8 bit characters
+%D that we sometimes need in backends and round||trips.
+
+\def\rawcharacter#1{\clf_rawcharacter\numexpr#1\relax}
+
+%D \macros
+%D {twodigits, threedigits}
+%D
+%D These macros provides two or three digits always:
+
+\def\twodigits #1{\ifnum #1<10 0\fi\number#1}
+\def\threedigits#1{\ifnum#1<100 \ifnum#1<10 0\fi0\fi\number#1}
+
+%D \macros{modulonumber}
+%D
+%D In the conversion macros described in \type {core-con} we
+%D need a wrap||around method. The following solution is
+%D provided by Taco.
+%D
+%D The \type {modulonumber} macro expands to the mathematical
+%D modulo of a positive integer. It is crucial for it's
+%D application that this macro is fully exandable.
+%D
+%D The expression inside the \type {\numexpr} itself is
+%D somewhat bizarre because \ETEX\ uses a rounding
+%D division instead of truncation. If \ETEX's division
+%D would have behaved like \TEX's normal\type{\divide}, then
+%D the expression could have been somewhat simpler, like
+%D \type {#2-(#2/#1)*#1}. This works just as well, but a bit
+%D more complex.
+
+\def\modulonumber#1#2%
+ {\the\numexpr#2-((((#2+(#1/2))/#1)-1)*#1)\relax}
+
+%D \macros{modulatednumber}
+%D
+%D Modulo numbers run from zero to one less than the limit,
+%D but for conversion sets, we need a value between 1 and the
+%D limit. The \type{\modulatednumber} arranges that. This
+%D macro also needs to be fully expandable, resulting in
+%D two \type{\numexpr}s.
+
+\def\modulatednumber#1#2%
+ {\ifnum\the\numexpr\modulonumber{#1}{#2}\relax=0 #1%
+ \else \the\numexpr\modulonumber{#1}{#2}\relax \fi}
+
+%D \macros
+%D {realnumber} % used?
+
+\def\realnumber#1{\withoutpt\the\dimexpr#1\s!pt\relax} % brrr
+
+%D \macros
+%D {setcalculatedsin,setcalculatedcos,setcalculatedtan}
+
+\def\setcalculatedsin#1#2{\edef#1{\clf_sind#2}}
+\def\setcalculatedcos#1#2{\edef#1{\clf_cosd#2}}
+\def\setcalculatedtan#1#2{\edef#1{\clf_tand#2}}
+
+ \def\formatted#1{\ctxcommand{format(#1)}} % not clf
+\unexpanded\def\format #1{\ctxcommand{format(#1)}} % not clf
+
+\protect \endinput