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--

Math definitions. This code may move.

--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(("\\unexpanded\\xdef\\%s{%s }"):format(name,mathematics.radical(class,family,slot,largefamily,largeslot))) elseif class == classes.open or class == classes.close then tex.sprint(("\\unexpanded\\xdef\\%s{%s}"):format(name,mathematics.delimiter(class,family,slot,largefamily,largeslot))) end elseif class == classes.accent then tex.sprint(("\\unexpanded\\xdef\\%s{%s }"):format(name,mathematics.mathaccent(class,family,slot))) elseif unicode then -- beware, open/close and other specials should not end up here local ch = utf.char(unicode) if characters.filters.utf.private.escapes[ch] then tex.sprint(("\\xdef\\%s{\\char%s }"):format(name,unicode)) else tex.sprint(("\\xdef\\%s{%s}"):format(name,ch)) end 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 }, -- alpha [0x03B2] = { "lcgreek", 0x0C }, -- beta [0x03B3] = { "lcgreek", 0x0D }, -- gamma [0x03B4] = { "lcgreek", 0x0E }, -- delta [0x03B5] = { "lcgreek", 0x0F }, -- epsilon [0x03B6] = { "lcgreek", 0x10 }, -- zeta [0x03B7] = { "lcgreek", 0x11 }, -- eta [0x03B8] = { "lcgreek", 0x12 }, -- theta [0x03B9] = { "lcgreek", 0x13 }, -- iota [0x03BA] = { "lcgreek", 0x14 }, -- kappa [0x03BB] = { "lcgreek", 0x15 }, -- lambda [0x03BC] = { "lcgreek", 0x16 }, -- mu [0x03BD] = { "lcgreek", 0x17 }, -- nu [0x03BE] = { "lcgreek", 0x18 }, -- xi [0x03BF] = { "lcgreek", 0x6F }, -- omicron [0x03C0] = { "lcgreek", 0x19 }, -- po [0x03C1] = { "lcgreek", 0x1A }, -- rho -- [0x03C2] = { "lcgreek", 0x00 }, -- varsigma [0x03C3] = { "lcgreek", 0x1B }, -- sigma [0x03C4] = { "lcgreek", 0x1C }, -- tau [0x03C5] = { "lcgreek", 0x1D }, -- upsilon -- [0x03C6] = { "lcgreek", 0x1E }, -- varphi [0x03C7] = { "lcgreek", 0x1F }, -- chi [0x03C8] = { "lcgreek", 0x20 }, -- psi [0x03C9] = { "lcgreek", 0x21 }, -- omega [0x0391] = { "ucgreek", 0x41 }, -- Alpha [0x0392] = { "ucgreek", 0x42 }, -- Beta [0x0393] = { "ucgreek", 0x00 }, -- Gamma [0x0394] = { "ucgreek", 0x01 }, -- Delta [0x0395] = { "ucgreek", 0x45 }, -- Epsilon [0x0396] = { "ucgreek", 0x5A }, -- Zeta [0x0397] = { "ucgreek", 0x48 }, -- Eta [0x0398] = { "ucgreek", 0x02 }, -- Theta [0x0399] = { "ucgreek", 0x49 }, -- Iota [0x039A] = { "ucgreek", 0x4B }, -- Kappa [0x039B] = { "ucgreek", 0x03 }, -- Lambda [0x039C] = { "ucgreek", 0x4D }, -- Mu [0x039D] = { "ucgreek", 0x4E }, -- Nu [0x039E] = { "ucgreek", 0x04 }, -- Xi [0x039F] = { "ucgreek", 0x4F }, -- Omicron [0x03A0] = { "ucgreek", 0x05 }, -- Pi [0x03A1] = { "ucgreek", 0x52 }, -- Rho [0x03A3] = { "ucgreek", 0x06 }, -- Sigma [0x03A4] = { "ucgreek", 0x54 }, -- Tau [0x03A5] = { "ucgreek", 0x07 }, -- Upsilon [0x03A6] = { "ucgreek", 0x08 }, -- Phi [0x03A7] = { "ucgreek", 0x58 }, -- Chi [0x03A8] = { "ucgreek", 0x09 }, -- Psi [0x03A9] = { "ucgreek", 0x0A }, -- Omega [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 [0x2111] = { "sy", 0x3D }, -- Im [0x2118] = { "mi", 0x7D }, -- wp [0x211C] = { "sy", 0x3C }, -- Re [0x2190] = { "sy", 0x20 }, -- leftarrow [0x2191] = { "sy", 0x22, "ex", 0x78 }, -- uparrow [0x2192] = { "sy", 0x21 }, -- rightarrow [0x2193] = { "sy", 0x23, "ex", 0x79 }, -- downarrow [0x2194] = { "sy", 0x24 }, -- leftrightarrow [0x2195] = { "sy", 0x6C, "ex", 0x3F }, -- updownarrow [0x2196] = { "sy", 0x2D }, -- nwarrow [0x2197] = { "sy", 0x25 }, -- nearrow [0x2198] = { "sy", 0x2E }, -- swarrow [0x2199] = { "sy", 0x26 }, -- searrow [0x21D0] = { "sy", 0x28 }, -- Leftarrow [0x21D1] = { "sy", 0x6C, "ex", 0x7E }, -- Uparrow [0x21D2] = { "sy", 0x29 }, -- Rightarrow [0x21D3] = { "sy", 0x2B, "ex", 0x7F }, -- Downarrow [0x21D4] = { "sy", 0x2C }, -- Leftrightarrow [0x21D5] = { "sy", 0x6D, "ex", 0x77 }, -- Updownarrow [0x2135] = { "sy", 0x40 }, -- aleph [0x2113] = { "mi", 0x60 }, -- ell -- ... [0x2200] = { "sy", 0x38 }, -- forall -- [0x2201] = { "sy", 0x00 }, -- complement [0x2202] = { "mi", 0x40 }, -- partial [0x2203] = { "sy", 0x39 }, -- exists -- [0x2204] = { "sy", 0x00 }, -- not exists [0x2205] = { "sy", 0x3B }, -- empty set -- [0x2206] = { "sy", 0x00 }, -- increment [0x2207] = { "sy", 0x72 }, -- nabla [0x2208] = { "sy", 0x32 }, -- in [0x2209] = { "sy", 0x33 }, -- ni [0x220F] = { "ex", 0x51 }, -- prod [0x2210] = { "ex", 0x60 }, -- coprod [0x2211] = { "ex", 0x50 }, -- sum -- [0x2212] = { "sy", 0x00 }, -- - [0x2213] = { "sy", 0x07 }, -- mp [0x2215] = { "sy", 0x3D }, -- / AM: Not sure [0x2216] = { "sy", 0x6E }, -- setminus [0x2217] = { "sy", 0x03 }, -- * [0x2218] = { "sy", 0x0E }, -- circ [0x2219] = { "sy", 0x0F }, -- bullet -- [0x221A] = { "sy", 0x70, "ex", 0x70 }, -- sqrt. AM: Check surd?? -- ... [0x221D] = { "sy", 0x2F }, -- propto [0x221E] = { "sy", 0x31 }, -- infty [0x2225] = { "sy", 0x6B }, -- parallel [0x2227] = { "sy", 0x5E }, -- wedge [0x2228] = { "sy", 0x5F }, -- vee [0x2229] = { "sy", 0x5C }, -- cap [0x222A] = { "sy", 0x5B }, -- cup [0x222B] = { "ex", 0x52 }, -- intop -- ... other integrals [0x2236] = { "mr", 0x3A }, -- colon [0x223C] = { "sy", 0x18 }, -- sim [0x2243] = { "sy", 0x27 }, -- simeq [0x2248] = { "sy", 0x19 }, -- approx [0x2261] = { "sy", 0x11 }, -- equiv [0x2264] = { "sy", 0x14 }, -- leq [0x2265] = { "sy", 0x15 }, -- geq [0x226A] = { "sy", 0x1C }, -- ll [0x226B] = { "sy", 0x1D }, -- gg [0x227A] = { "sy", 0x1E }, -- prec [0x227B] = { "sy", 0x1F }, -- succ -- [0x227C] = { "sy", 0x16 }, -- preceq, AM:No see 2AAF -- [0x227D] = { "sy", 0x17 }, -- succeq, AM:No see 2AB0 [0x2282] = { "sy", 0x1A }, -- subset [0x2283] = { "sy", 0x1B }, -- supset [0x2286] = { "sy", 0x12 }, -- subseteq [0x2287] = { "sy", 0x13 }, -- supseteq [0x2293] = { "sy", 0x75 }, -- sqcap [0x2294] = { "sy", 0x74 }, -- sqcup [0x2295] = { "sy", 0x08 }, -- oplus [0x2296] = { "sy", 0x09 }, -- ominus [0x2297] = { "sy", 0x0A }, -- otimes [0x2298] = { "sy", 0x0B }, -- oslash [0x2299] = { "sy", 0x0C }, -- odot [0x22A4] = { "sy", 0x3E }, -- top [0x22A5] = { "sy", 0x3F }, -- bop [0x22C0] = { "ex", 0x56 }, -- bigwedge [0x22C1] = { "ex", 0x57 }, -- bigvee [0x22C2] = { "ex", 0x54 }, -- bigcap [0x22C3] = { "ex", 0x53 }, -- bigcup [0x22C4] = { "sy", 0x05 }, -- diamond [0x22C5] = { "sy", 0x01 }, -- cdot [0x22C6] = { "sy", 0x3F }, -- star [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 }, -- \ [0x007B] = { "sy", 0x66, "ex", 0x08 }, -- { [0x007D] = { "sy", 0x67, "ex", 0x09 }, -- } [0x005E] = { "mr", 0x5E, "ex", 0x62 }, -- widehat [0x007E] = { "mr", 0x7E, "ex", 0x65 }, -- widetilde [0x2AAF] = { "sy", 0x16 }, -- preceq [0x2AB0] = { "sy", 0x17 }, -- succeq } mathematics.slots.current = mathematics.slots.traditional 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