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if not modules then modules = { } end modules ['math-ini'] = {
version = 1.001,
comment = "companion to math-ini.tex",
author = "Hans Hagen, PRAGMA-ADE, Hasselt NL",
copyright = "PRAGMA ADE / ConTeXt Development Team",
license = "see context related readme files"
}
--[[ldx--
<p>Math definitions. This code may move.</p>
--ldx]]--
-- if needed we can use the info here to set up xetex definition files
-- the "8000 hackery influences direct characters (utf) as indirect \char's
mathematics = mathematics or { }
mathematics.data = mathematics.data or { }
mathematics.slots = mathematics.slots or { }
mathematics.classes = {
ord = 0, -- mathordcomm mathord
op = 1, -- mathopcomm mathop
bin = 2, -- mathbincomm mathbin
rel = 3, -- mathrelcomm mathrel
open = 4, -- mathopencomm mathopen
close = 5, -- mathclosecomm mathclose
punct = 6, -- mathpunctcomm mathpunct
alpha = 7, -- mathalphacomm firstofoneargument
accent = 8,
radical = 9,
inner = 0, -- mathinnercomm mathinner
nothing = 0, -- mathnothingcomm firstofoneargument
choice = 0, -- mathchoicecomm @@mathchoicecomm
box = 0, -- mathboxcomm @@mathboxcomm
limop = 1, -- mathlimopcomm @@mathlimopcomm
nolop = 1, -- mathnolopcomm @@mathnolopcomm
}
mathematics.classes.alphabetic = mathematics.classes.alpha
mathematics.classes.unknown = mathematics.classes.nothing
mathematics.classes.punctuation = mathematics.classes.punct
mathematics.classes.normal = mathematics.classes.nothing
mathematics.classes.opening = mathematics.classes.open
mathematics.classes.closing = mathematics.classes.close
mathematics.classes.binary = mathematics.classes.bin
mathematics.classes.relation = mathematics.classes.rel
mathematics.classes.fence = mathematics.classes.unknown
mathematics.classes.diacritic = mathematics.classes.accent
mathematics.classes.large = mathematics.classes.op
mathematics.classes.variable = mathematics.classes.alphabetic
mathematics.classes.number = mathematics.classes.nothing
mathematics.families = {
mr = 0, bs = 8,
mi = 1, bi = 9,
sy = 2, sc = 10,
ex = 3, tf = 11,
it = 4, ma = 12,
sl = 5, mb = 13,
bf = 6, mc = 14,
nn = 7, md = 15,
}
mathematics.families.letters = mathematics.families.mr
mathematics.families.numbers = mathematics.families.mr
mathematics.families.variables = mathematics.families.mi
mathematics.families.operators = mathematics.families.sy
mathematics.families.lcgreek = mathematics.families.mi
mathematics.families.ucgreek = mathematics.families.mr
mathematics.families.vargreek = mathematics.families.mi
mathematics.families.mitfamily = mathematics.families.mi
mathematics.families.calfamily = mathematics.families.sy
mathematics.families[0] = mathematics.families.mr
mathematics.families[1] = mathematics.families.mi
mathematics.families[2] = mathematics.families.sy
mathematics.families[3] = mathematics.families.ex
function mathematics.mathcode(target,class,family,slot)
return ("\\omathcode%s=\"%X%02X%04X"):format(target,class,family,slot)
end
function mathematics.delcode(target,small_family,small_slot,large_family,large_slot)
return ("\\odelcode%s=\"%02X%04X\"%02X%04X"):format(target,small_family,small_slot,large_family,large_slot)
end
function mathematics.radical(small_family,small_slot,large_family,large_slot)
return ("\\radical%s=\"%02X%04X%\"02X%04X"):format(target,small_family,small_slot,large_family,large_slot)
end
function mathematics.mathchar(class,family,slot)
return ("\\omathchar\"%X%02X%04X"):format(class,family,slot)
end
function mathematics.mathaccent(class,family,slot)
return ("\\omathaccent\"%X%02X%04X"):format(class,family,slot)
end
function mathematics.delimiter(class,family,slot,largefamily,largeslot)
return ("\\odelimiter\"%X%02X%04X\"%02X%04X"):format(class,family,slot,largefamily,largeslot)
end
function mathematics.mathchardef(name,class,family,slot) -- we can avoid this one
return ("\\omathchardef\\%s\"%X%02X%04X"):format(name,class,family,slot)
end
function mathematics.setmathsymbol(name,class,family,slot,largefamily,largeslot,unicode)
class = mathematics.classes[class] or class -- no real checks needed
family = mathematics.families[family] or family
-- \unexpanded ? \relax needed for the codes?
local classes = mathematics.classes
if largefamily and largeslot then
largefamily = mathematics.families[largefamily] or largefamily
if class == classes.radical then
tex.sprint(("\\xdef\\%s{%s\\relax}"):format(name,mathematics.radical(class,family,slot,largefamily,largeslot)))
elseif class == classes.open or class == classes.close then
tex.sprint(("\\xdef\\%s{%s\\relax}"):format(name,mathematics.delimiter(class,family,slot,largefamily,largeslot)))
end
elseif class == classes.accent then
tex.sprint(("\\xdef\\%s{%s\\relax}"):format(name,mathematics.mathaccent(class,family,slot)))
elseif unicode then
tex.sprint(("\\xdef\\%s{%s}"):format(name,utf.char(unicode)))
else
tex.sprint(mathematics.mathchardef(name,class,family,slot))
end
end
-- direct sub call
function mathematics.setmathcharacter(target,class,family,slot,largefamily,largeslot)
class = mathematics.classes[class] or class -- no real checks needed
family = mathematics.families[family] or family
if largefamily and largeslot then
largefamily = mathematics.families[largefamily] or largefamily
tex.sprint(mathematics.delcode(target,family,slot,largefamily,largeslot))
else
tex.sprint(mathematics.mathcode(target,class,family,slot))
end
end
-- definitions (todo: expand commands to utf instead of codes)
mathematics.trace = false
function mathematics.define()
local slots = mathematics.slots.current
local setmathcharacter = mathematics.setmathcharacter
local setmathsymbol = mathematics.setmathsymbol
local trace = mathematics.trace
local function report(k,c,f,i,fe,ie)
if fe then
logs.report("mathematics",string.format("a - symbol 0x%05X -> %s -> %s %s (%s %s)",k,c,f,i,fe,ie))
elseif c then
logs.report("mathematics",string.format("b - symbol 0x%05X -> %s -> %s %s",k,c,f,i))
else
logs.report("mathematics",string.format("c - symbol 0x%05X -> %s %s",k,f,i))
end
end
for k,v in pairs(characters.data) do
local m = v.mathclass
-- i need to clean this up a bit
if m then
local c = v.mathname
if c == false then
-- no command
local s = slots[k]
if s then
local f, i, fe, ie = s[1], s[2], s[3], s[4]
if trace then
report(k,c,f,i,fe,ie)
end
setmathcharacter(k,m,f,i,fe,ie)
end
elseif c then
local s = slots[k]
if s then
local f, i, fe, ie = s[1], s[2], s[3], s[4]
if trace then
report(k,c,f,i,fe,ie)
end
setmathsymbol(c,m,f,i,fe,ie,k)
setmathcharacter(k,m,f,i,fe,ie)
end
elseif v.contextname then
local s = slots[k]
local c = v.contextname
if s then
local f, i, fe, ie = s[1], s[2], s[3], s[4]
if trace then
report(k,c,f,i,fe,ie)
end
-- todo: mathortext
-- setmathsymbol(c,m,f,i,fe,ie,k)
setmathcharacter(k,m,f,i,fe,ie)
end
else
local a = v.adobename
if a and m then
local s, f, i, fe, ie = slots[k], nil, nil, nil, nil
if s then
f, i, fe, ie = s[1], s[2], s[3], s[4]
elseif m == "variable" then
f, i = mathematics.families.variables, k
elseif m == "number" then
f, i = mathematics.families.numbers, k
end
if trace then
report(k,a,f,i,fe,ie)
end
setmathcharacter(k,m,f,i,fe,ie)
end
end
end
end
end
-- temporary here: will become separate
-- maybe we should define a nice virtual font so that we have
-- just the base n families repeated for diferent styles
mathematics.slots.traditional = {
[0x03B1] = { "lcgreek", 0x0B },
[0x03B2] = { "lcgreek", 0x0C },
[0x03B3] = { "lcgreek", 0x0D },
[0x03B4] = { "lcgreek", 0x0E },
[0x03B5] = { "lcgreek", 0x0F }, -- epsilon
[0x03B6] = { "lcgreek", 0x10 },
[0x03B7] = { "lcgreek", 0x11 },
[0x03B8] = { "lcgreek", 0x12 },
[0x03B9] = { "lcgreek", 0x13 },
[0x03BA] = { "lcgreek", 0x14 },
[0x03BB] = { "lcgreek", 0x15 },
[0x03BC] = { "lcgreek", 0x16 },
[0x03BD] = { "lcgreek", 0x17 },
[0x03BE] = { "lcgreek", 0x18 },
[0x03BF] = { "lcgreek", 0x6F },
[0x03C0] = { "lcgreek", 0x19 },
[0x03C1] = { "lcgreek", 0x1A },
-- [0x03C2] = { "lcgreek", 0x00 }, -- varsigma
[0x03C3] = { "lcgreek", 0x1B },
[0x03C4] = { "lcgreek", 0x1C },
[0x03C5] = { "lcgreek", 0x1D },
-- [0x03C6] = { "lcgreek", 0x1E }, -- varphi
[0x03C7] = { "lcgreek", 0x1F },
[0x03C8] = { "lcgreek", 0x20 },
[0x03C9] = { "lcgreek", 0x21 },
[0x0391] = { "ucgreek", 0x41 },
[0x0392] = { "ucgreek", 0x42 },
[0x0393] = { "ucgreek", 0x00 },
[0x0394] = { "ucgreek", 0x01 },
[0x0395] = { "ucgreek", 0x45 },
[0x0396] = { "ucgreek", 0x5A },
[0x0397] = { "ucgreek", 0x48 },
[0x0398] = { "ucgreek", 0x02 },
[0x0399] = { "ucgreek", 0x49 },
[0x039A] = { "ucgreek", 0x4B },
[0x039B] = { "ucgreek", 0x03 },
[0x039C] = { "ucgreek", 0x4D },
[0x039D] = { "ucgreek", 0x4E },
[0x039E] = { "ucgreek", 0x04 },
[0x039F] = { "ucgreek", 0x4F },
[0x03A0] = { "ucgreek", 0x05 },
[0x03A1] = { "ucgreek", 0x52 },
[0x03A3] = { "ucgreek", 0x06 },
[0x03A4] = { "ucgreek", 0x54 },
[0x03A5] = { "ucgreek", 0x07 },
[0x03A6] = { "ucgreek", 0x08 },
[0x03A7] = { "ucgreek", 0x58 },
[0x03A8] = { "ucgreek", 0x09 },
[0x03A9] = { "ucgreek", 0x0A },
[0x03F5] = { "vargreek", 0x22 }, -- varepsilon
[0x03D1] = { "vargreek", 0x23 }, -- vartheta
[0x03D6] = { "vargreek", 0x24 }, -- varpi
[0x03F1] = { "vargreek", 0x25 }, -- varrho
[0x03C2] = { "vargreek", 0x26 }, -- varsigma
-- varphi is part of the alphabet, contrary to the other var*s'
[0x03C6] = { "vargreek", 0x27 }, -- varphi
[0x03D5] = { "lcgreek", 0x1E }, -- phi
[0x03F0] = { "lcgreek", 0x14 }, -- varkappa, not in tex fonts
[0x0021] = { "mr", 0x21 }, -- !
[0x0028] = { "mr", 0x28 }, -- (
[0x0029] = { "mr", 0x29 }, -- )
[0x002A] = { "sy", 0x03 }, -- *
[0x002B] = { "mr", 0x2B }, -- +
[0x002C] = { "mi", 0x3B }, -- ,
[0x002D] = { "sy", 0x00 }, -- -
[0x2212] = { "sy", 0x00 }, -- -
[0x002E] = { "mi", 0x3A }, -- .
[0x002F] = { "mi", 0x3D }, -- /
[0x003A] = { "mr", 0x3A }, -- :
[0x003B] = { "mr", 0x3B }, -- ;
[0x003C] = { "mi", 0x3C }, -- <
[0x003D] = { "mr", 0x3D }, -- =
[0x003E] = { "mi", 0x3E }, -- >
[0x003F] = { "mr", 0x3F }, -- ?
[0x005C] = { "sy", 0x6E }, -- \
[0x007B] = { "sy", 0x66 }, -- {
[0x007C] = { "sy", 0x6A }, -- |
[0x007D] = { "sy", 0x67 }, -- }
[0x00B1] = { "sy", 0x06 }, -- pm
[0x00B7] = { "sy", 0x01 }, -- cdot
[0x00D7] = { "sy", 0x02 }, -- times
[0x2022] = { "sy", 0x0F }, -- bullet
[0x2190] = { "sy", 0x20 }, -- leftarrow
[0x2192] = { "sy", 0x21 }, -- rightarrow
[0x2194] = { "sy", 0x24 }, -- leftrightarrow
[0x21D0] = { "sy", 0x28 }, -- Leftarrow
[0x21D2] = { "sy", 0x29 }, -- Rightarrow
[0x21D4] = { "sy", 0x2C }, -- Leftrightarrow
[0x2135] = { "sy", 0x40 }, -- aleph
[0x2113] = { "mi", 0x60 }, -- ell
[0x22C5] = { "sy", 0x01 }, -- cdot
[0x25B3] = { "sy", 0x34 }, -- triangle up
[0x1D6A4] = { "mi", 0x7B }, -- imath
[0x1D6A5] = { "mi", 0x7C }, -- jmath
[0x0028] = { "mr", 0x28, "ex", 0x00 }, -- (
[0x0029] = { "mr", 0x29, "ex", 0x01 }, -- )
[0x002F] = { "mr", 0x2F, "ex", 0x0E }, -- /
[0x003C] = { "sy", 0x3C, "ex", 0x0A }, -- <
[0x003E] = { "sy", 0x3E, "ex", 0x0B }, -- >
[0x005B] = { "mr", 0x5B, "ex", 0x02 }, -- [
[0x005D] = { "mr", 0x5D, "ex", 0x03 }, -- ]
[0x007C] = { "sy", 0x6A, "ex", 0x0C }, -- |
[0x005C] = { "sy", 0x6E, "ex", 0x0F }, -- \
[0x220F] = { "ex", 0x51 }, -- prod
[0x2211] = { "ex", 0x50 }, -- sum
[0x222B] = { "ex", 0x52 }, -- intop
[0x005E] = { "mr", 0x5E, "ex", 0x62 }, -- widehat
[0x007E] = { "mr", 0x7E, "ex", 0x65 }, -- widetilde
}
mathematics.slots.current = mathematics.slots.traditional
--~ already obsolete
--~
--~ do
--~ local template = "\\catcode%s=13\\gdef %s{\\%s}\\global\\mathcode%s=\"8000\\relax"
--~ function mathematics.traditional()
--~ tex.sprint(tex.ctxcatcodes,"\\begingroup")
--~ for k, v in pairs(mathematics.data) do
--~ if not v.ignore then
--~ local c = v.contextname
--~ if c then
--~ tex.sprint(template:format(k,utf.char(k),c,k))
--~ end
--~ end
--~ end
--~ tex.sprint(tex.ctxcatcodes,"\\endgroup")
--~ end
--~ end
function mathematics.utfmathclass(chr, default)
local cd = characters.data[utf.byte(chr)]
return (cd and cd.mathclass) or default or "unknown"
end
function mathematics.utfmathcommand(chr, default)
local cd = characters.data[utf.byte(chr)]
return (cd and cd.mathname) or default or "unknown"
end
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