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+if not modules then modules = { } end modules ['math-map'] = {
+ version = 1.001,
+ optimize = true,
+ comment = "companion to math-ini.mkiv",
+ author = "Hans Hagen, PRAGMA-ADE, Hasselt NL",
+ copyright = "PRAGMA ADE / ConTeXt Development Team",
+ license = "see context related readme files"
+}
+
+-- todo: make sparse .. if self
+
+--[[ldx--
+<p>Remapping mathematics alphabets.</p>
+--ldx]]--
+
+-- oldstyle: not really mathematics but happened to be part of
+-- the mathematics fonts in cmr
+--
+-- persian: we will also provide mappers for other
+-- scripts
+
+-- todo: alphabets namespace
+-- maybe: script/scriptscript dynamic,
+
+-- superscripped primes get unscripted !
+
+-- to be looked into once the fonts are ready (will become font
+-- goodie):
+--
+-- (U+2202,U+1D715) : upright
+-- (U+2202,U+1D715) : italic
+-- (U+2202,U+1D715) : upright
+--
+-- plus add them to the regular vectors below so that they honor \it etc
+
+local type, next = type, next
+local merged, sortedhash = table.merged, table.sortedhash
+
+local allocate = utilities.storage.allocate
+
+local otffeatures = fonts.constructors.features.otf
+local registerotffeature = otffeatures.register
+
+local setmetatableindex = table.setmetatableindex
+
+local texgetattribute = tex.getattribute
+local texsetattribute = tex.setattribute
+
+local trace_greek = false trackers.register("math.greek", function(v) trace_greek = v end)
+local report_remapping = logs.reporter("mathematics","remapping")
+
+mathematics = mathematics or { }
+local mathematics = mathematics
+
+local implement = interfaces.implement
+
+-- Unfortunately some alphabets have gaps (thereby troubling all applications that
+-- need to deal with math). Somewhat strange considering all those weird symbols that
+-- were added afterwards. The following trickery (and data) is only to be used for
+-- diagnostics and quick and dirty alphabet tracing (s-mat-10.mkiv) as we deal with
+-- it otherwise.
+
+-- todo: allocate
+
+mathematics.styles = allocate { "regular", "sansserif", "monospaced", "fraktur", "script", "blackboard" }
+mathematics.alternatives = allocate { "normal", "bold", "italic", "bolditalic" }
+mathematics.sets = allocate { "ucletters", "lcletters", "digits", "ucgreek", "lcgreek", "symbols" }
+
+mathematics.charactersets = allocate {
+ ucletters = {
+ 0x00041, 0x00042, 0x00043, 0x00044, 0x00045,
+ 0x00046, 0x00047, 0x00048, 0x00049, 0x0004A,
+ 0x0004B, 0x0004C, 0x0004D, 0x0004E, 0x0004F,
+ 0x00050, 0x00051, 0x00052, 0x00053, 0x00054,
+ 0x00055, 0x00056, 0x00057, 0x00058, 0x00059,
+ 0x0005A,
+ },
+ lcletters = {
+ 0x00061, 0x00062, 0x00063, 0x00064, 0x00065,
+ 0x00066, 0x00067, 0x00068, 0x00069, 0x0006A,
+ 0x0006B, 0x0006C, 0x0006D, 0x0006E, 0x0006F,
+ 0x00070, 0x00071, 0x00072, 0x00073, 0x00074,
+ 0x00075, 0x00076, 0x00077, 0x00078, 0x00079,
+ 0x0007A,
+ },
+ digits = {
+ 0x00030, 0x00031, 0x00032, 0x00033, 0x00034,
+ 0x00035, 0x00036, 0x00037, 0x00038, 0x00039,
+ },
+ ucgreek = {
+ 0x0391, 0x0392, 0x0393, 0x0394, 0x0395,
+ 0x0396, 0x0397, 0x0398, 0x0399, 0x039A,
+ 0x039B, 0x039C, 0x039D, 0x039E, 0x039F,
+ 0x03A0, 0x03A1, 0x03A3, 0x03A4, 0x03A5,
+ 0x03A6, 0x03A7, 0x03A8, 0x03A9
+ },
+ lcgreek = {
+ 0x03B1, 0x03B2, 0x03B3, 0x03B4, 0x03B5,
+ 0x03B6, 0x03B7, 0x03B8, 0x03B9, 0x03BA,
+ 0x03BB, 0x03BC, 0x03BD, 0x03BE, 0x03BF,
+ 0x03C0, 0x03C1, 0x03C2, 0x03C3, 0x03C4,
+ 0x03C5, 0x03C6, 0x03C7, 0x03C8, 0x03C9,
+ 0x03D1, 0x03D5, 0x03D6, 0x03F0, 0x03F1,
+ 0x03F4, 0x03F5
+ },
+}
+
+mathematics.gaps = allocate {
+ [0x1D455] = 0x0210E, -- ℎ h
+ [0x1D49D] = 0x0212C, -- ℬ script B
+ [0x1D4A0] = 0x02130, -- ℰ script E
+ [0x1D4A1] = 0x02131, -- ℱ script F
+ [0x1D4A3] = 0x0210B, -- ℋ script H
+ [0x1D4A4] = 0x02110, -- ℐ script I
+ [0x1D4A7] = 0x02112, -- ℒ script L
+ [0x1D4A8] = 0x02133, -- ℳ script M
+ [0x1D4AD] = 0x0211B, -- ℛ script R
+ [0x1D4BA] = 0x0212F, -- ℯ script e
+ [0x1D4BC] = 0x0210A, -- ℊ script g
+ -- [0x1D4C1] = 0x02113, -- exception: liter
+ [0x1D4C4] = 0x02134, -- ℴ script o
+ [0x1D506] = 0x0212D, -- ℭ fraktur C
+ [0x1D50B] = 0x0210C, -- ℌ fraktur H
+ [0x1D50C] = 0x02111, -- ℑ fraktur I
+ [0x1D515] = 0x0211C, -- ℜ fraktur R
+ [0x1D51D] = 0x02128, -- ℨ fraktur Z
+ [0x1D53A] = 0x02102, -- ℂ bb C
+ [0x1D53F] = 0x0210D, -- ℍ bb H
+ [0x1D545] = 0x02115, -- ℕ bb N
+ [0x1D547] = 0x02119, -- ℙ bb P
+ [0x1D548] = 0x0211A, -- ℚ bb Q
+ [0x1D549] = 0x0211D, -- ℝ bb R
+ [0x1D551] = 0x02124, -- ℤ bb Z
+}
+
+local function fillinmathgaps(tfmdata,key,value)
+ local mathgaps = mathematics.gaps
+ local characters = tfmdata.characters
+ local descriptions = tfmdata.descriptions
+ for gap, original in next, mathgaps do
+ if characters[original] and not characters[gap] then
+ characters [gap] = characters [original]
+ descriptions[gap] = descriptions[original]
+ end
+ end
+end
+
+registerotffeature {
+ name = "mathgaps",
+ description = "plug gaps in math alphabets",
+ comment = "regular document sources should not depend on this",
+ manipulators = {
+ base = fillinmathgaps,
+ node = fillinmathgaps,
+ }
+}
+
+-- we could use one level less and have tf etc be tables directly but the
+-- following approach permits easier remapping of a-a, A-Z and 0-9 to
+-- fallbacks; symbols is currently mostly greek
+
+local function todigit (n) local t = { } for i=0, 9 do t[0x00030+i] = n+i end return t end
+local function toupper (n) local t = { } for i=0,25 do t[0x00041+i] = n+i end return t end
+local function tolower (n) local t = { } for i=0,25 do t[0x00061+i] = n+i end return t end
+local function tovector(t) return t end
+
+-- how about 0x2A (ast) cq. 0x2217
+-- 0x2D (hyphen) cq. 0x2212
+-- 0x3A (colon) cq. 0x2236
+
+local regular_tf = {
+ digits = todigit(0x00030),
+ ucletters = toupper(0x00041),
+ lcletters = tolower(0x00061),
+ ucgreek = {
+ [0x0391]=0x0391, [0x0392]=0x0392, [0x0393]=0x0393, [0x0394]=0x0394, [0x0395]=0x0395,
+ [0x0396]=0x0396, [0x0397]=0x0397, [0x0398]=0x0398, [0x0399]=0x0399, [0x039A]=0x039A,
+ [0x039B]=0x039B, [0x039C]=0x039C, [0x039D]=0x039D, [0x039E]=0x039E, [0x039F]=0x039F,
+ [0x03A0]=0x03A0, [0x03A1]=0x03A1, [0x03A3]=0x03A3, [0x03A4]=0x03A4, [0x03A5]=0x03A5,
+ [0x03A6]=0x03A6, [0x03A7]=0x03A7, [0x03A8]=0x03A8, [0x03A9]=0x03A9,
+ },
+ lcgreek = {
+ [0x03B1]=0x03B1, [0x03B2]=0x03B2, [0x03B3]=0x03B3, [0x03B4]=0x03B4, [0x03B5]=0x03B5,
+ [0x03B6]=0x03B6, [0x03B7]=0x03B7, [0x03B8]=0x03B8, [0x03B9]=0x03B9, [0x03BA]=0x03BA,
+ [0x03BB]=0x03BB, [0x03BC]=0x03BC, [0x03BD]=0x03BD, [0x03BE]=0x03BE, [0x03BF]=0x03BF,
+ [0x03C0]=0x03C0, [0x03C1]=0x03C1, [0x03C2]=0x03C2, [0x03C3]=0x03C3, [0x03C4]=0x03C4,
+ [0x03C5]=0x03C5, [0x03C6]=0x03C6, [0x03C7]=0x03C7, [0x03C8]=0x03C8, [0x03C9]=0x03C9,
+ [0x03D1]=0x03D1, [0x03D5]=0x03D5, [0x03D6]=0x03D6, [0x03F0]=0x03F0, [0x03F1]=0x03F1,
+ [0x03F4]=0x03F4, [0x03F5]=0x03F5,
+ },
+ symbols = {
+ [0x2202]=0x2202, [0x2207]=0x2207,
+ [0x0027]=0x2032, -- prime
+ },
+}
+
+local regular_it = {
+ digits = tovector(regular_tf.digits),
+ ucletters = toupper(0x1D434),
+ lcletters = { -- H
+ [0x00061]=0x1D44E, [0x00062]=0x1D44F, [0x00063]=0x1D450, [0x00064]=0x1D451, [0x00065]=0x1D452,
+ [0x00066]=0x1D453, [0x00067]=0x1D454, [0x00068]=0x0210E, [0x00069]=0x1D456, [0x0006A]=0x1D457,
+ [0x0006B]=0x1D458, [0x0006C]=0x1D459, [0x0006D]=0x1D45A, [0x0006E]=0x1D45B, [0x0006F]=0x1D45C,
+ [0x00070]=0x1D45D, [0x00071]=0x1D45E, [0x00072]=0x1D45F, [0x00073]=0x1D460, [0x00074]=0x1D461,
+ [0x00075]=0x1D462, [0x00076]=0x1D463, [0x00077]=0x1D464, [0x00078]=0x1D465, [0x00079]=0x1D466,
+ [0x0007A]=0x1D467,
+ -- arabic
+ [0x00627] = 0x1EE00, [0x00628] = 0x1EE21, [0x0062A] = 0x1EE15, [0x0062B] = 0x1EE16,
+ [0x0062C] = 0x1EE22, [0x0062D] = 0x1EE07, [0x0062E] = 0x1EE17, [0x0062F] = 0x1EE03,
+ [0x00630] = 0x1EE18, [0x00631] = 0x1EE13, [0x00632] = 0x1EE06, [0x00633] = 0x1EE0E,
+ [0x00634] = 0x1EE14, [0x00635] = 0x1EE11, [0x00636] = 0x1EE19, [0x00637] = 0x1EE08,
+ [0x00638] = 0x1EE1A, [0x00639] = 0x1EE0F, [0x0063A] = 0x1EE1B, [0x00641] = 0x1EE10,
+ [0x00642] = 0x1EE12, [0x00643] = 0x1EE0A, [0x00644] = 0x1EE0B, [0x00645] = 0x1EE0C,
+ [0x00646] = 0x1EE0D, [0x00647] = 0x1EE24, [0x00648] = 0x1EE05, [0x0064A] = 0x1EE09,
+ [0x0066E] = 0x1EE1C, [0x0066F] = 0x1EE1F, [0x006A1] = 0x1EE1E, [0x006BA] = 0x1EE1D,
+ },
+ ucgreek = {
+ [0x0391]=0x1D6E2, [0x0392]=0x1D6E3, [0x0393]=0x1D6E4, [0x0394]=0x1D6E5, [0x0395]=0x1D6E6,
+ [0x0396]=0x1D6E7, [0x0397]=0x1D6E8, [0x0398]=0x1D6E9, [0x0399]=0x1D6EA, [0x039A]=0x1D6EB,
+ [0x039B]=0x1D6EC, [0x039C]=0x1D6ED, [0x039D]=0x1D6EE, [0x039E]=0x1D6EF, [0x039F]=0x1D6F0,
+ [0x03A0]=0x1D6F1, [0x03A1]=0x1D6F2, [0x03A3]=0x1D6F4, [0x03A4]=0x1D6F5, [0x03A5]=0x1D6F6,
+ [0x03A6]=0x1D6F7, [0x03A7]=0x1D6F8, [0x03A8]=0x1D6F9, [0x03A9]=0x1D6FA,
+ },
+ lcgreek = {
+ [0x03B1]=0x1D6FC, [0x03B2]=0x1D6FD, [0x03B3]=0x1D6FE, [0x03B4]=0x1D6FF, [0x03B5]=0x1D700,
+ [0x03B6]=0x1D701, [0x03B7]=0x1D702, [0x03B8]=0x1D703, [0x03B9]=0x1D704, [0x03BA]=0x1D705,
+ [0x03BB]=0x1D706, [0x03BC]=0x1D707, [0x03BD]=0x1D708, [0x03BE]=0x1D709, [0x03BF]=0x1D70A,
+ [0x03C0]=0x1D70B, [0x03C1]=0x1D70C, [0x03C2]=0x1D70D, [0x03C3]=0x1D70E, [0x03C4]=0x1D70F,
+ [0x03C5]=0x1D710, [0x03C6]=0x1D711, [0x03C7]=0x1D712, [0x03C8]=0x1D713, [0x03C9]=0x1D714,
+ [0x03D1]=0x1D717, [0x03D5]=0x1D719, [0x03D6]=0x1D71B, [0x03F0]=0x1D718, [0x03F1]=0x1D71A,
+ [0x03F4]=0x1D6F3, [0x03F5]=0x1D716,
+ },
+ symbols = {
+ [0x2202]=0x1D715, [0x2207]=0x1D6FB,
+ [0x0027]=0x2032, -- prime
+ },
+}
+
+local regular_bf= {
+ digits = todigit(0x1D7CE),
+ ucletters = toupper(0x1D400),
+ lcletters = tolower(0x1D41A),
+ ucgreek = {
+ [0x0391]=0x1D6A8, [0x0392]=0x1D6A9, [0x0393]=0x1D6AA, [0x0394]=0x1D6AB, [0x0395]=0x1D6AC,
+ [0x0396]=0x1D6AD, [0x0397]=0x1D6AE, [0x0398]=0x1D6AF, [0x0399]=0x1D6B0, [0x039A]=0x1D6B1,
+ [0x039B]=0x1D6B2, [0x039C]=0x1D6B3, [0x039D]=0x1D6B4, [0x039E]=0x1D6B5, [0x039F]=0x1D6B6,
+ [0x03A0]=0x1D6B7, [0x03A1]=0x1D6B8, [0x03A3]=0x1D6BA, [0x03A4]=0x1D6BB, [0x03A5]=0x1D6BC,
+ [0x03A6]=0x1D6BD, [0x03A7]=0x1D6BE, [0x03A8]=0x1D6BF, [0x03A9]=0x1D6C0,
+ },
+ lcgreek = {
+ [0x03B1]=0x1D6C2, [0x03B2]=0x1D6C3, [0x03B3]=0x1D6C4, [0x03B4]=0x1D6C5, [0x03B5]=0x1D6C6,
+ [0x03B6]=0x1D6C7, [0x03B7]=0x1D6C8, [0x03B8]=0x1D6C9, [0x03B9]=0x1D6CA, [0x03BA]=0x1D6CB,
+ [0x03BB]=0x1D6CC, [0x03BC]=0x1D6CD, [0x03BD]=0x1D6CE, [0x03BE]=0x1D6CF, [0x03BF]=0x1D6D0,
+ [0x03C0]=0x1D6D1, [0x03C1]=0x1D6D2, [0x03C2]=0x1D6D3, [0x03C3]=0x1D6D4, [0x03C4]=0x1D6D5,
+ [0x03C5]=0x1D6D6, [0x03C6]=0x1D6D7, [0x03C7]=0x1D6D8, [0x03C8]=0x1D6D9, [0x03C9]=0x1D6DA,
+ [0x03D1]=0x1D6DD, [0x03D5]=0x1D6DF, [0x03D6]=0x1D6E1, [0x03F0]=0x1D6DE, [0x03F1]=0x1D6E0,
+ [0x03F4]=0x1D6B9, [0x03F5]=0x1D6DC,
+ },
+ symbols = {
+ [0x2202]=0x1D6DB, [0x2207]=0x1D6C1,
+ [0x0027]=0x2032, -- prime
+ },
+}
+
+local regular_bi = {
+ digits = tovector(regular_bf.digits),
+ ucletters = toupper(0x1D468),
+ lcletters = tolower(0x1D482),
+ ucgreek = {
+ [0x0391]=0x1D71C, [0x0392]=0x1D71D, [0x0393]=0x1D71E, [0x0394]=0x1D71F, [0x0395]=0x1D720,
+ [0x0396]=0x1D721, [0x0397]=0x1D722, [0x0398]=0x1D723, [0x0399]=0x1D724, [0x039A]=0x1D725,
+ [0x039B]=0x1D726, [0x039C]=0x1D727, [0x039D]=0x1D728, [0x039E]=0x1D729, [0x039F]=0x1D72A,
+ [0x03A0]=0x1D72B, [0x03A1]=0x1D72C, [0x03A3]=0x1D72E, [0x03A4]=0x1D72F, [0x03A5]=0x1D730,
+ [0x03A6]=0x1D731, [0x03A7]=0x1D732, [0x03A8]=0x1D733, [0x03A9]=0x1D734,
+ },
+ lcgreek = {
+ [0x03B1]=0x1D736, [0x03B2]=0x1D737, [0x03B3]=0x1D738, [0x03B4]=0x1D739, [0x03B5]=0x1D73A,
+ [0x03B6]=0x1D73B, [0x03B7]=0x1D73C, [0x03B8]=0x1D73D, [0x03B9]=0x1D73E, [0x03BA]=0x1D73F,
+ [0x03BB]=0x1D740, [0x03BC]=0x1D741, [0x03BD]=0x1D742, [0x03BE]=0x1D743, [0x03BF]=0x1D744,
+ [0x03C0]=0x1D745, [0x03C1]=0x1D746, [0x03C2]=0x1D747, [0x03C3]=0x1D748, [0x03C4]=0x1D749,
+ [0x03C5]=0x1D74A, [0x03C6]=0x1D74B, [0x03C7]=0x1D74C, [0x03C8]=0x1D74D, [0x03C9]=0x1D74E,
+ [0x03D1]=0x1D751, [0x03D5]=0x1D753, [0x03D6]=0x1D755, [0x03F0]=0x1D752, [0x03F1]=0x1D754,
+ [0x03F4]=0x1D72D, [0x03F5]=0x1D750,
+ },
+ symbols = {
+ [0x2202]=0x1D74F, [0x2207]=0x1D735,
+ [0x0027]=0x2032, -- prime
+ },
+}
+
+local regular = {
+ tf = regular_tf,
+ it = regular_it,
+ bf = regular_bf,
+ bi = regular_bi,
+}
+
+local sansserif_tf = {
+ digits = todigit(0x1D7E2),
+ ucletters = toupper(0x1D5A0),
+ lcletters = tolower(0x1D5BA),
+ lcgreek = tovector(regular_tf.lcgreek),
+ ucgreek = tovector(regular_tf.ucgreek),
+ symbols = tovector(regular_tf.symbols),
+}
+
+local sansserif_it = {
+ digits = tovector(regular_tf.digits),
+ ucletters = toupper(0x1D608),
+ lcletters = tolower(0x1D622),
+ lcgreek = tovector(regular_tf.lcgreek),
+ ucgreek = tovector(regular_tf.ucgreek),
+ symbols = tovector(regular_tf.symbols),
+}
+
+local sansserif_bf = {
+ digits = todigit(0x1D7EC),
+ ucletters = toupper(0x1D5D4),
+ lcletters = tolower(0x1D5EE),
+ ucgreek = {
+ [0x0391]=0x1D756, [0x0392]=0x1D757, [0x0393]=0x1D758, [0x0394]=0x1D759, [0x0395]=0x1D75A,
+ [0x0396]=0x1D75B, [0x0397]=0x1D75C, [0x0398]=0x1D75D, [0x0399]=0x1D75E, [0x039A]=0x1D75F,
+ [0x039B]=0x1D760, [0x039C]=0x1D761, [0x039D]=0x1D762, [0x039E]=0x1D763, [0x039F]=0x1D764,
+ [0x03A0]=0x1D765, [0x03A1]=0x1D766, [0x03A3]=0x1D768, [0x03A4]=0x1D769, [0x03A5]=0x1D76A,
+ [0x03A6]=0x1D76B, [0x03A7]=0x1D76C, [0x03A8]=0x1D76D, [0x03A9]=0x1D76E,
+ },
+ lcgreek = {
+ [0x03B1]=0x1D770, [0x03B2]=0x1D771, [0x03B3]=0x1D772, [0x03B4]=0x1D773, [0x03B5]=0x1D774,
+ [0x03B6]=0x1D775, [0x03B7]=0x1D776, [0x03B8]=0x1D777, [0x03B9]=0x1D778, [0x03BA]=0x1D779,
+ [0x03BB]=0x1D77A, [0x03BC]=0x1D77B, [0x03BD]=0x1D77C, [0x03BE]=0x1D77D, [0x03BF]=0x1D77E,
+ [0x03C0]=0x1D77F, [0x03C1]=0x1D780, [0x03C2]=0x1D781, [0x03C3]=0x1D782, [0x03C4]=0x1D783,
+ [0x03C5]=0x1D784, [0x03C6]=0x1D785, [0x03C7]=0x1D786, [0x03C8]=0x1D787, [0x03C9]=0x1D788,
+ [0x03D1]=0x1D78B, [0x03D5]=0x1D78D, [0x03D6]=0x1D78F, [0x03F0]=0x1D78C, [0x03F1]=0x1D78E,
+ [0x03F4]=0x1D767, [0x03F5]=0x1D78A,
+ },
+ symbols = {
+ [0x2202]=0x1D789, [0x2207]=0x1D76F,
+ [0x0027]=0x2032, -- prime
+ },
+}
+
+local sansserif_bi = {
+ digits = tovector(sansserif_bf.digits),
+ ucletters = toupper(0x1D63C),
+ lcletters = tolower(0x1D656),
+ ucgreek = {
+ [0x0391]=0x1D790, [0x0392]=0x1D791, [0x0393]=0x1D792, [0x0394]=0x1D793, [0x0395]=0x1D794,
+ [0x0396]=0x1D795, [0x0397]=0x1D796, [0x0398]=0x1D797, [0x0399]=0x1D798, [0x039A]=0x1D799,
+ [0x039B]=0x1D79A, [0x039C]=0x1D79B, [0x039D]=0x1D79C, [0x039E]=0x1D79D, [0x039F]=0x1D79E,
+ [0x03A0]=0x1D79F, [0x03A1]=0x1D7A0, [0x03A3]=0x1D7A2, [0x03A4]=0x1D7A3, [0x03A5]=0x1D7A4,
+ [0x03A6]=0x1D7A5, [0x03A7]=0x1D7A6, [0x03A8]=0x1D7A7, [0x03A9]=0x1D7A8,
+ },
+ lcgreek = {
+ [0x03B1]=0x1D7AA, [0x03B2]=0x1D7AB, [0x03B3]=0x1D7AC, [0x03B4]=0x1D7AD, [0x03B5]=0x1D7AE,
+ [0x03B6]=0x1D7AF, [0x03B7]=0x1D7B0, [0x03B8]=0x1D7B1, [0x03B9]=0x1D7B2, [0x03BA]=0x1D7B3,
+ [0x03BB]=0x1D7B4, [0x03BC]=0x1D7B5, [0x03BD]=0x1D7B6, [0x03BE]=0x1D7B7, [0x03BF]=0x1D7B8,
+ [0x03C0]=0x1D7B9, [0x03C1]=0x1D7BA, [0x03C2]=0x1D7BB, [0x03C3]=0x1D7BC, [0x03C4]=0x1D7BD,
+ [0x03C5]=0x1D7BE, [0x03C6]=0x1D7BF, [0x03C7]=0x1D7C0, [0x03C8]=0x1D7C1, [0x03C9]=0x1D7C2,
+ [0x03D1]=0x1D7C5, [0x03D5]=0x1D7C7, [0x03D6]=0x1D7C9, [0x03F0]=0x1D7C6, [0x03F1]=0x1D7C8,
+ [0x03F4]=0x1D7A1, [0x03F5]=0x1D7C4,
+ },
+ symbols = {
+ [0x2202]=0x1D7C3, [0x2207]=0x1D7A9,
+ [0x0027]=0x2032, -- prime
+ },
+}
+
+local sansserif = {
+ tf = sansserif_tf,
+ it = sansserif_it,
+ bf = sansserif_bf,
+ bi = sansserif_bi,
+}
+
+local monospaced_tf = {
+ digits = todigit(0x1D7F6),
+ ucletters = toupper(0x1D670),
+ lcletters = tolower(0x1D68A),
+ lcgreek = tovector(sansserif_tf.lcgreek),
+ ucgreek = tovector(sansserif_tf.ucgreek),
+ symbols = tovector(sansserif_tf.symbols),
+}
+
+local monospaced_it = tovector(sansserif_it)
+local monospaced_bf = tovector(sansserif_bf)
+local monospaced_bi = tovector(sansserif_bi)
+
+local monospaced = {
+ tf = monospaced_tf,
+ it = monospaced_tf,
+ bf = monospaced_tf,
+ bi = monospaced_bf,
+}
+
+local blackboard_tf = {
+ digits = todigit(0x1D7D8),
+ ucletters = { -- C H N P Q R Z
+ [0x00041]=0x1D538, [0x00042]=0x1D539, [0x00043]=0x02102, [0x00044]=0x1D53B, [0x00045]=0x1D53C,
+ [0x00046]=0x1D53D, [0x00047]=0x1D53E, [0x00048]=0x0210D, [0x00049]=0x1D540, [0x0004A]=0x1D541,
+ [0x0004B]=0x1D542, [0x0004C]=0x1D543, [0x0004D]=0x1D544, [0x0004E]=0x02115, [0x0004F]=0x1D546,
+ [0x00050]=0x02119, [0x00051]=0x0211A, [0x00052]=0x0211D, [0x00053]=0x1D54A, [0x00054]=0x1D54B,
+ [0x00055]=0x1D54C, [0x00056]=0x1D54D, [0x00057]=0x1D54E, [0x00058]=0x1D54F, [0x00059]=0x1D550,
+ [0x0005A]=0x02124,
+ },
+ lcletters = {
+ -- tolower(0x1D552) :
+ [0x00061] = 0x1D552, [0x00062] = 0x1D553, [0x00063] = 0x1D554, [0x00064] = 0x1D555,
+ [0x00065] = 0x1D556, [0x00066] = 0x1D557, [0x00067] = 0x1D558, [0x00068] = 0x1D559,
+ [0x00069] = 0x1D55A, [0x0006A] = 0x1D55B, [0x0006B] = 0x1D55C, [0x0006C] = 0x1D55D,
+ [0x0006D] = 0x1D55E, [0x0006E] = 0x1D55F, [0x0006F] = 0x1D560, [0x00070] = 0x1D561,
+ [0x00071] = 0x1D562, [0x00072] = 0x1D563, [0x00073] = 0x1D564, [0x00074] = 0x1D565,
+ [0x00075] = 0x1D566, [0x00076] = 0x1D567, [0x00077] = 0x1D568, [0x00078] = 0x1D569,
+ [0x00079] = 0x1D56A, [0x0007A] = 0x1D56B,
+ -- arabic
+ [0x00628] = 0x1EEA1, [0x0062A] = 0x1EEB5, [0x0062B] = 0x1EEB6, [0x0062C] = 0x1EEA2,
+ [0x0062D] = 0x1EEA7, [0x0062E] = 0x1EEB7, [0x0062F] = 0x1EEA3, [0x00630] = 0x1EEB8,
+ [0x00631] = 0x1EEB3, [0x00632] = 0x1EEA6, [0x00633] = 0x1EEAE, [0x00634] = 0x1EEB4,
+ [0x00635] = 0x1EEB1, [0x00636] = 0x1EEB9, [0x00637] = 0x1EEA8, [0x00638] = 0x1EEBA,
+ [0x00639] = 0x1EEAF, [0x0063A] = 0x1EEBB, [0x00641] = 0x1EEB0, [0x00642] = 0x1EEB2,
+ [0x00644] = 0x1EEAB, [0x00645] = 0x1EEAC, [0x00646] = 0x1EEAD, [0x00648] = 0x1EEA5,
+ [0x0064A] = 0x1EEA9,
+ },
+ lcgreek = { -- gamma pi
+ [0x03B3]=0x0213C, [0x03C0]=0x0213D,
+ },
+ ucgreek = { -- Gamma pi
+ [0x0393]=0x0213E, [0x03A0]=0x0213F,
+ },
+ symbols = { -- sum
+ [0x2211]=0x02140,
+ [0x0027]=0x2032, -- prime
+ },
+}
+
+blackboard_tf.lcgreek = merged(regular_tf.lcgreek, blackboard_tf.lcgreek)
+blackboard_tf.ucgreek = merged(regular_tf.ucgreek, blackboard_tf.ucgreek)
+blackboard_tf.symbols = merged(regular_tf.symbols, blackboard_tf.symbols)
+
+local blackboard = {
+ tf = blackboard_tf,
+ it = blackboard_tf,
+ bf = blackboard_tf,
+ bi = blackboard_tf,
+}
+
+local fraktur_tf= {
+ digits = tovector(regular_tf.digits),
+ ucletters = { -- C H I R Z
+ [0x00041]=0x1D504, [0x00042]=0x1D505, [0x00043]=0x0212D, [0x00044]=0x1D507, [0x00045]=0x1D508,
+ [0x00046]=0x1D509, [0x00047]=0x1D50A, [0x00048]=0x0210C, [0x00049]=0x02111, [0x0004A]=0x1D50D,
+ [0x0004B]=0x1D50E, [0x0004C]=0x1D50F, [0x0004D]=0x1D510, [0x0004E]=0x1D511, [0x0004F]=0x1D512,
+ [0x00050]=0x1D513, [0x00051]=0x1D514, [0x00052]=0x0211C, [0x00053]=0x1D516, [0x00054]=0x1D517,
+ [0x00055]=0x1D518, [0x00056]=0x1D519, [0x00057]=0x1D51A, [0x00058]=0x1D51B, [0x00059]=0x1D51C,
+ [0x0005A]=0x02128,
+ },
+ lcletters = tolower(0x1D51E),
+ lcgreek = tovector(regular_tf.lcgreek),
+ ucgreek = tovector(regular_tf.ucgreek),
+ symbols = tovector(regular_tf.symbols),
+}
+
+local fraktur_bf = {
+ digits = tovector(regular_bf.digits),
+ ucletters = toupper(0x1D56C),
+ lcletters = tolower(0x1D586),
+ lcgreek = tovector(regular_bf.lcgreek),
+ ucgreek = tovector(regular_bf.ucgreek),
+ symbols = tovector(regular_bf.symbols),
+}
+
+local fraktur = { -- ok
+ tf = fraktur_tf,
+ bf = fraktur_bf,
+ it = fraktur_tf,
+ bi = fraktur_bf,
+}
+
+local script_tf = {
+ digits = tovector(regular_tf.digits),
+ ucletters = { -- B E F H I L M R -- P 2118
+ [0x00041]=0x1D49C, [0x00042]=0x0212C, [0x00043]=0x1D49E, [0x00044]=0x1D49F, [0x00045]=0x02130,
+ [0x00046]=0x02131, [0x00047]=0x1D4A2, [0x00048]=0x0210B, [0x00049]=0x02110, [0x0004A]=0x1D4A5,
+ [0x0004B]=0x1D4A6, [0x0004C]=0x02112, [0x0004D]=0x02133, [0x0004E]=0x1D4A9, [0x0004F]=0x1D4AA,
+ [0x00050]=0x1D4AB, [0x00051]=0x1D4AC, [0x00052]=0x0211B, [0x00053]=0x1D4AE, [0x00054]=0x1D4AF,
+ [0x00055]=0x1D4B0, [0x00056]=0x1D4B1, [0x00057]=0x1D4B2, [0x00058]=0x1D4B3, [0x00059]=0x1D4B4,
+ [0x0005A]=0x1D4B5,
+ },
+ lcletters = { -- E G O -- L 2113
+ [0x00061]=0x1D4B6, [0x00062]=0x1D4B7, [0x00063]=0x1D4B8, [0x00064]=0x1D4B9, [0x00065]=0x0212F,
+ [0x00066]=0x1D4BB, [0x00067]=0x0210A, [0x00068]=0x1D4BD, [0x00069]=0x1D4BE, [0x0006A]=0x1D4BF,
+ [0x0006B]=0x1D4C0, [0x0006C]=0x1D4C1, [0x0006D]=0x1D4C2, [0x0006E]=0x1D4C3, [0x0006F]=0x02134,
+ [0x00070]=0x1D4C5, [0x00071]=0x1D4C6, [0x00072]=0x1D4C7, [0x00073]=0x1D4C8, [0x00074]=0x1D4C9,
+ [0x00075]=0x1D4CA, [0x00076]=0x1D4CB, [0x00077]=0x1D4CC, [0x00078]=0x1D4CD, [0x00079]=0x1D4CE,
+ [0x0007A]=0x1D4CF,
+ },
+ lcgreek = tovector(regular_tf.lcgreek),
+ ucgreek = tovector(regular_tf.ucgreek),
+ symbols = tovector(regular_tf.symbols),
+}
+
+local script_bf = {
+ digits = tovector(regular_bf.digits),
+ ucletters = toupper(0x1D4D0),
+ lcletters = tolower(0x1D4EA),
+ lcgreek = tovector(regular_bf.lcgreek),
+ ucgreek = tovector(regular_bf.ucgreek),
+ symbols = tovector(regular_bf.symbols),
+}
+
+local script = {
+ tf = script_tf,
+ bf = script_bf,
+ it = script_tf,
+ bi = script_bf,
+}
+
+local alphabets = allocate {
+ regular = regular,
+ sansserif = sansserif,
+ monospaced = monospaced,
+ blackboard = blackboard,
+ fraktur = fraktur,
+ script = script,
+}
+
+alphabets.tt = tovector(monospaced)
+alphabets.ss = tovector(sansserif)
+alphabets.rm = tovector(regular)
+alphabets.bb = tovector(blackboard)
+alphabets.fr = tovector(fraktur)
+alphabets.sr = tovector(script)
+
+monospaced.normal = tovector(monospaced_tf)
+monospaced.italic = tovector(monospaced_it)
+monospaced.bold = tovector(monospaced_bf)
+monospaced.bolditalic = tovector(monospaced_bi)
+
+sansserif.normal = tovector(sansserif_tf)
+sansserif.italic = tovector(sansserif_it)
+sansserif.bold = tovector(sansserif_bf)
+sansserif.bolditalic = tovector(sansserif_bi)
+
+regular.normal = tovector(regular_tf)
+regular.italic = tovector(regular_it)
+regular.bold = tovector(regular_bf)
+regular.bolditalic = tovector(regular_bi)
+
+alphabets.serif = tovector(regular)
+alphabets.type = tovector(monospaced)
+alphabets.teletype = tovector(monospaced)
+
+mathematics.alphabets = alphabets
+
+local mathremap = allocate { }
+mathematics.mapremap = mathremap
+
+local boldmap = allocate { }
+mathematics.boldmap = boldmap
+
+-- all math (a bit of redundancy here) (sorted for tracing)
+
+for alphabet, styles in sortedhash(alphabets) do -- per 9/6/2011 we also have attr for missing
+ for style, data in sortedhash(styles) do
+ -- let's keep the long names (for tracing)
+ local n = #mathremap + 1
+ local d = {
+ attribute = n,
+ alphabet = alphabet,
+ style = style,
+ }
+ styles[style] = d
+ setmetatableindex(d,data) -- we could use a alphadata table
+ mathremap[n] = d
+ end
+end
+
+-- bold math
+
+local function remapbold(tf,bf)
+ local styles = mathematics.styles
+ local sets = mathematics.sets
+ for i=1,#styles do
+ for j=1,#sets do
+ local one = styles[i]
+ local two = sets[j]
+ local a = alphabets[one]
+ local tf = a[tf][two]
+ local bf = a[bf][two]
+ if tf and bf then
+ for k, v in next, tf do
+ boldmap[v] = bf[k]
+ end
+ end
+ end
+ end
+end
+
+remapbold("tf","bf")
+remapbold("it","bi")
+
+-- table.save("e:/tmp/a.lua",alphabets)
+-- table.save("e:/tmp/b.lua",boldmap)
+
+function mathematics.tostyle(attribute)
+ local r = mathremap[attribute]
+ return r and r.style or "tf"
+end
+
+function mathematics.toname(attribute)
+ local r = mathremap[attribute]
+ return r and r.alphabet or "regular"
+end
+
+-- of course we could do some div/mod trickery instead
+
+local mathalphabet = attributes.private("mathalphabet")
+
+function mathematics.getboth(alphabet,style)
+ local data = alphabet and alphabets[alphabet] or regular
+ data = data[style or "tf"] or data.tf
+ return data and data.attribute
+end
+
+function mathematics.getstyle(style)
+ local r = mathremap[texgetattribute(mathalphabet)]
+ local alphabet = r and r.alphabet or "regular"
+ local data = alphabets[alphabet][style]
+ return data and data.attribute
+end
+
+function mathematics.syncboth(alphabet,style)
+ local data = alphabet and alphabets[alphabet] or regular
+ data = style and data[style] or data.tf
+ texsetattribute(mathalphabet,data and data.attribute or texattribute[mathalphabet])
+end
+
+function mathematics.syncstyle(style)
+ local r = mathremap[texgetattribute(mathalphabet)]
+ local alphabet = r and r.alphabet or "regular"
+ local data = alphabets[alphabet][style]
+ texsetattribute(mathalphabet,data and data.attribute or texattribute[mathalphabet])
+end
+
+function mathematics.syncname(alphabet)
+ -- local r = mathremap[mathalphabet]
+ local r = mathremap[texgetattribute(mathalphabet)]
+ local style = r and r.style or "tf"
+ local data = alphabets[alphabet][style]
+ texsetattribute(mathalphabet,data and data.attribute or texattribute[mathalphabet])
+end
+
+implement {
+ name = "setmathattribute",
+ arguments = "2 strings",
+ actions = function(alphabet,style)
+ local data = alphabets[alphabet] or regular
+ data = data[style] or data.tf
+ texsetattribute(mathalphabet,data and data.attribute or texattribute[mathalphabet])
+ end
+}
+
+implement {
+ name = "setmathstyle",
+ arguments = "string",
+ actions = function(style)
+ local r = mathremap[texgetattribute(mathalphabet)]
+ local alphabet = r and r.alphabet or "regular"
+ local data = alphabets[alphabet][style]
+ texsetattribute(mathalphabet,data and data.attribute or texattribute[mathalphabet])
+ end
+}
+
+implement {
+ name = "setmathalphabet",
+ arguments = "string",
+ actions = function(alphabet)
+ -- local r = mathremap[mathalphabet]
+ local r = mathremap[texgetattribute(mathalphabet)]
+ local style = r and r.style or "tf"
+ local data = alphabets[alphabet][style]
+ texsetattribute(mathalphabet,data and data.attribute or texattribute[mathalphabet])
+ end
+}
+
+local islcgreek = regular_tf.lcgreek
+local isucgreek = regular_tf.ucgreek
+local issygreek = regular_tf.symbols
+local isgreek = merged(islcgreek,isucgreek,issygreek)
+
+local greekremapping = {
+ [1] = { what = "unchanged" }, -- upright
+ [2] = { what = "upright", it = "tf", bi = "bf" }, -- upright
+ [3] = { what = "italic", tf = "it", bf = "bi" }, -- italic
+}
+
+local usedremap = { }
+
+local function resolver(map)
+ return function (t,k)
+ local v =
+ map.digits [k] or
+ map.lcletters[k] or map.ucletters[k] or
+ map.lcgreek [k] or map.ucgreek [k] or
+ map.symbols [k] or k
+ t[k] = v
+ return v
+ end
+end
+
+for k, v in next, mathremap do
+ local t = { }
+ setmetatableindex(t,resolver(v))
+ usedremap[k] = t
+end
+
+local function remapgreek(mathalphabet,how,detail,char)
+ local r = mathremap[mathalphabet] -- what if 0
+ local alphabet = r and r.alphabet or "regular"
+ local style = r and r.style or "tf"
+ local remapping = greekremapping[how]
+ if trace_greek then
+ report_remapping("greek %s, %s char %C, alphabet %a %a, method %a","before",detail,char,alphabet,style,remapping.what)
+ end
+ local newstyle = remapping[style]
+ if newstyle then
+ local data = alphabets[alphabet][newstyle] -- always something
+ mathalphabet = data and data.attribute or mathalphabet
+ style = newstyle
+ end
+ if trace_greek then
+ report_remapping("greek %s, %s char %C, alphabet %a %a, method %a","after",detail,char,alphabet,style,remapping.what)
+ end
+ return mathalphabet, style
+end
+
+function mathematics.remapalphabets(char,mathalphabet,mathgreek)
+ if not mathalphabet then
+ return
+ end
+ if mathgreek and mathgreek > 0 then
+ if not isgreek[char] then
+ -- nothing needed
+ elseif islcgreek[char] then
+ local lc = (mathgreek >> 4) & 0x0F
+ if lc > 1 then
+ mathalphabet = remapgreek(mathalphabet,lc,"lowercase",char)
+ end
+ elseif isucgreek[char] then
+ local uc = (mathgreek >> 0) & 0x0F
+ if uc > 1 then
+ mathalphabet = remapgreek(mathalphabet,uc,"uppercase",char)
+ end
+ elseif issygreek[char] then
+ local sy = (mathgreek >> 8) & 0x0F
+ if sy > 1 then
+ mathalphabet = remapgreek(mathalphabet,sy,"symbol",char)
+ end
+ end
+ end
+ if mathalphabet > 0 then
+ local remap = usedremap[mathalphabet] -- redundant check
+ if remap then
+ local newchar = remap[char]
+ return newchar ~= char and newchar
+ end
+ end
+ -- return nil
+end
+
+-- begin of experiment
+
+local fallback = {
+ tf = "bf",
+ it = "bi",
+ bf = "tf",
+ bi = "it",
+}
+
+function mathematics.fallbackstyleattr(attribute)
+ local r = mathremap[attribute]
+ local alphabet = r.alphabet or "regular"
+ local style = r.style or "tf"
+ local fback = fallback[style]
+ if fback then
+ local data = alphabets[alphabet][fback]
+ if data then
+ local attr = data.attribute
+ return attribute ~= attr and attr
+ end
+ end
+end
+
+-- end of experiment
+
+local function checkedcopy(characters,child,parent)
+ for k, v in next, child do
+ if not characters[v] then
+ characters[v] = characters[parent[k]]
+ end
+ end
+end
+
+function mathematics.addfallbacks(main)
+ local characters = main.characters
+ checkedcopy(characters,regular.bf.ucgreek,regular.tf.ucgreek)
+ checkedcopy(characters,regular.bf.lcgreek,regular.tf.lcgreek)
+ checkedcopy(characters,regular.bi.ucgreek,regular.it.ucgreek)
+ checkedcopy(characters,regular.bi.lcgreek,regular.it.lcgreek)
+end