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if not modules then modules = { } end modules ['math-fbk'] = {
version = 1.001,
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"
}
local trace_fallbacks = false trackers.register("math.fallbacks", function(v) trace_fallbacks = v end)
local report_fallbacks = logs.reporter("math","fallbacks")
local formatters = string.formatters
local fastcopy = table.fastcopy
local fallbacks = { }
mathematics.fallbacks = fallbacks
local virtualcharacters = { }
local identifiers = fonts.hashes.identifiers
local lastmathids = fonts.hashes.lastmathids
-- we need a trick (todo): if we define scriptscript, script and text in
-- that order we could use their id's .. i.e. we could always add a font
-- table with those id's .. in fact, we could also add a whole lot more
-- as it doesn't hurt
--
-- todo: use index 'true when luatex provides that feature (on the agenda)
function fallbacks.apply(target,original)
local mathparameters = target.mathparameters -- why not hasmath
if mathparameters then
local characters = target.characters
local parameters = target.parameters
local mathsize = parameters.mathsize
local size = parameters.size
local usedfonts = target.fonts
if not usedfonts then
usedfonts = { }
target.fonts = usedfonts
end
-- This is not okay yet ... we have no proper way to refer to 'self'
-- otherwise I will make my own id allocator).
local self = #usedfonts == 0 and font.nextid() or nil -- will be true
local textid, scriptid, scriptscriptid
local textindex, scriptindex, scriptscriptindex
local textdata, scriptdata, scriptscriptdata
if mathsize == 3 then
-- scriptscriptsize
-- textid = nil -- self
-- scriptid = nil -- no smaller
-- scriptscriptid = nil -- no smaller
textid = self
scriptid = self
scriptscriptid = self
elseif mathsize == 2 then
-- scriptsize
-- textid = nil -- self
textid = self
scriptid = lastmathids[3]
scriptscriptid = lastmathids[3]
else
-- textsize
-- textid = nil -- self
textid = self
scriptid = lastmathids[2]
scriptscriptid = lastmathids[3]
end
if textid then
textindex = #usedfonts + 1
usedfonts[textindex] = { id = textid }
textdata = identifiers[textid]
else
textdata = target
end
if scriptid then
scriptindex = #usedfonts + 1
usedfonts[scriptindex] = { id = scriptid }
scriptdata = identifiers[scriptid]
else
scriptindex = textindex
scriptdata = textdata
end
if scriptscriptid then
scriptscriptindex = #usedfonts + 1
usedfonts[scriptscriptindex] = { id = scriptscriptid }
scriptscriptdata = identifiers[scriptscriptid]
else
scriptscriptindex = scriptindex
scriptscriptdata = scriptdata
end
-- report_fallbacks("used textid: %S, used script id: %S, used scriptscript id: %S",textid,scriptid,scriptscriptid)
local data = {
textdata = textdata,
scriptdata = scriptdata,
scriptscriptdata = scriptscriptdata,
textindex = textindex,
scriptindex = scriptindex,
scriptscriptindex = scriptscriptindex,
characters = characters,
unicode = k,
target = target,
original = original,
size = size,
mathsize = mathsize,
}
-- inspect(usedfonts)
for k, v in next, virtualcharacters do
if not characters[k] then
local tv = type(v)
if tv == "table" then
characters[k] = v
elseif tv == "number" then
characters[k] = characters[v]
elseif tv == "function" then
characters[k] = v(data)
end
if trace_fallbacks then
if characters[k] then
report_fallbacks("extending font %a with %U",target.properties.fullname,k)
end
end
end
end
end
end
utilities.sequencers.appendaction("aftercopyingcharacters","system","mathematics.fallbacks.apply")
function fallbacks.install(unicode,value)
virtualcharacters[unicode] = value
end
-- a few examples:
local function reference(index,char)
if index then
return { "slot", index, char }
else
return { "char", char }
end
end
local function raised(data,down)
local replacement = data.replacement
local character = data.scriptdata.characters[replacement]
if character then
return {
width = character.width,
height = character.height,
depth = character.depth,
commands = {
{ "down", down and data.size/4 or -data.size/2 }, -- maybe exheight
reference(data.scriptindex,replacement)
}
}
end
end
-- virtualcharacters[0x207A] = 0x2212
-- virtualcharacters[0x207B] = 0x002B
-- virtualcharacters[0x208A] = 0x2212
-- virtualcharacters[0x208B] = 0x002B
virtualcharacters[0x207A] = function(data)
data.replacement = 0x2212
return raised(data)
end
virtualcharacters[0x207B] = function(data)
data.replacement = 0x002B
return raised(data)
end
virtualcharacters[0x208A] = function(data)
data.replacement = 0x2212
return raised(data,true)
end
virtualcharacters[0x208B] = function(data)
data.replacement = 0x002B
return raised(data,true)
end
-- local function repeated(data,char,n,fraction)
-- local character = data.characters[char]
-- if character then
-- local width = character.width
-- local delta = width - character.italic -- width * fraction
-- local c = { "char", char }
-- local r = { "right", right }
-- local commands = { }
-- for i=1,n-1 do
-- width = width + delta
-- commands[#commands+1] = c
-- commands[#commands+1] = -delta
-- end
-- commands[#commands+1] = c
-- return {
-- width = width,
-- height = character.height,
-- depth = character.depth,
-- commands = commands,
-- }
-- end
-- end
-- virtualcharacters[0x222C] = function(data)
-- return repeated(data,0x222B,2,1/8)
-- end
-- virtualcharacters[0x222D] = function(data)
-- return repeated(data,0x222B,3,1/8)
-- end
local addextra = mathematics.extras.add
addextra(0xFE350, {
category="sm",
description="MATHEMATICAL DOUBLE ARROW LEFT END",
mathclass="relation",
mathname="ctxdoublearrowfillleftend",
unicodeslot=0xFE350,
} )
addextra(0xFE351, {
category="sm",
description="MATHEMATICAL DOUBLE ARROW MIDDLE PART",
mathclass="relation",
mathname="ctxdoublearrowfillmiddlepart",
unicodeslot=0xFE351,
} )
addextra(0xFE352, {
category="sm",
description="MATHEMATICAL DOUBLE ARROW RIGHT END",
mathclass="relation",
mathname="ctxdoublearrowfillrightend",
unicodeslot=0xFE352,
} )
local push = { "push" }
local pop = { "pop" }
local leftarrow = { "char", 0x2190 }
local relbar = { "char", 0x2212 }
local rightarrow = { "char", 0x2192 }
virtualcharacters[0xFE350] = function(data)
-- return combined(data,0x2190,0x2212) -- leftarrow relbar
local charone = data.characters[0x2190]
local chartwo = data.characters[0x2212]
if charone and chartwo then
local size = data.size/2
return {
width = chartwo.width,
height = size,
depth = size,
commands = {
push,
{ "down", size/2 },
leftarrow,
pop,
{ "down", -size/2 },
relbar,
}
}
end
end
virtualcharacters[0xFE351] = function(data)
-- return combined(data,0x2212,0x2212) -- relbar, relbar (isn't that just equal)
local char = data.characters[0x2212]
if char then
local size = data.size/2
return {
width = char.width,
height = size,
depth = size,
commands = {
push,
{ "down", size/2 },
relbar,
pop,
{ "down", -size/2 },
relbar,
}
}
end
end
virtualcharacters[0xFE352] = function(data)
-- return combined(data,0x2192,0x2212) -- rightarrow relbar
local charone = data.characters[0x2192]
local chartwo = data.characters[0x2212]
if charone and chartwo then
local size = data.size/2
return {
width = chartwo.width,
height = size,
depth = size,
commands = {
push,
{ "down", size/2 },
relbar,
pop,
{ "right", chartwo.width - charone.width },
{ "down", -size/2 },
rightarrow,
}
}
end
end
-- we could move the defs from math-act here
local function accent_to_extensible(target,newchr,original,oldchr,height,depth,swap,offset)
local characters = target.characters
local addprivate = fonts.helpers.addprivate
local olddata = characters[oldchr]
if olddata then
if swap then
swap = characters[swap]
height = swap.depth
depth = 0
else
height = height or 0
depth = depth or 0
end
local correction = swap and { "down", (olddata.height or 0) - height } or { "down", olddata.height + (offset or 0)}
local newdata = {
commands = { correction, { "slot", 1, oldchr } },
width = olddata.width,
height = height,
depth = depth,
}
local glyphdata = newdata
local nextglyph = olddata.next
while nextglyph do
local oldnextdata = characters[nextglyph]
local newnextdata = {
commands = { correction, { "slot", 1, nextglyph } },
width = oldnextdata.width,
height = height,
depth = depth,
}
local newnextglyph = addprivate(target,formatters["original-%H"](nextglyph),newnextdata)
newdata.next = newnextglyph
local nextnextglyph = oldnextdata.next
if nextnextglyph == nextglyph then
break
else
olddata = oldnextdata
newdata = newnextdata
nextglyph = nextnextglyph
end
end
local hv = olddata.horiz_variants
if hv then
hv = fastcopy(hv)
newdata.horiz_variants = hv
for i=1,#hv do
local hvi = hv[i]
local oldglyph = hvi.glyph
local olddata = characters[oldglyph]
local newdata = {
commands = { correction, { "slot", 1, oldglyph } },
width = olddata.width,
height = height,
depth = depth,
}
hvi.glyph = addprivate(target,formatters["original-%H"](oldglyph),newdata)
end
end
return glyphdata
end
end
virtualcharacters[0x203E] = function(data) -- could be FE33E instead
local target = data.target
local height, depth = 0, 0
local mathparameters = target.mathparameters
if mathparameters then
height = mathparameters.OverbarVerticalGap
depth = mathparameters.UnderbarVerticalGap
else
height = target.parameters.xheight/4
depth = height
end
return accent_to_extensible(target,0x203E,data.original,0x0305,height,depth)
end
virtualcharacters[0xFE33E] = virtualcharacters[0x203E] -- convenient
virtualcharacters[0xFE33F] = virtualcharacters[0x203E] -- convenient
local function smashed(data,unicode,swap,private)
local target = data.target
local original = data.original
local chardata = target.characters[unicode]
if chardata and chardata.height > target.parameters.xheight then
return accent_to_extensible(target,private,original,unicode,0,0,swap)
else
return original.characters[unicode]
end
end
addextra(0xFE3DE, { description="EXTENSIBLE OF 0x03DE", unicodeslot=0xFE3DE, mathextensible = "r", mathstretch = "h" } )
addextra(0xFE3DC, { description="EXTENSIBLE OF 0x03DC", unicodeslot=0xFE3DC, mathextensible = "r", mathstretch = "h" } )
addextra(0xFE3B4, { description="EXTENSIBLE OF 0x03B4", unicodeslot=0xFE3B4, mathextensible = "r", mathstretch = "h" } )
virtualcharacters[0xFE3DE] = function(data) return smashed(data,0x23DE,0x23DF,0xFE3DE) end
virtualcharacters[0xFE3DC] = function(data) return smashed(data,0x23DC,0x23DD,0xFE3DC) end
virtualcharacters[0xFE3B4] = function(data) return smashed(data,0x23B4,0x23B5,0xFE3B4) end
addextra(0xFE3DF, { description="EXTENSIBLE OF 0x03DF", unicodeslot=0xFE3DF, mathextensible = "r", mathstretch = "h" } )
addextra(0xFE3DD, { description="EXTENSIBLE OF 0x03DD", unicodeslot=0xFE3DD, mathextensible = "r", mathstretch = "h" } )
addextra(0xFE3B5, { description="EXTENSIBLE OF 0x03B5", unicodeslot=0xFE3B5, mathextensible = "r", mathstretch = "h" } )
virtualcharacters[0xFE3DF] = function(data) return data.original.characters[0x23DF] end
virtualcharacters[0xFE3DD] = function(data) return data.original.characters[0x23DD] end
virtualcharacters[0xFE3B5] = function(data) return data.original.characters[0x23B5] end
-- todo: add some more .. numbers might change
addextra(0xFE302, { description="EXTENSIBLE OF 0x0302", unicodeslot=0xFE302, mathstretch = "h" } )
addextra(0xFE303, { description="EXTENSIBLE OF 0x0303", unicodeslot=0xFE303, mathstretch = "h" } )
local function smashed(data,unicode,private)
local target = data.target
local height = target.parameters.xheight / 2
local c = accent_to_extensible(target,private,data.original,unicode,height,0,nil,-height)
c.top_accent = nil
return c
end
virtualcharacters[0xFE302] = function(data) return smashed(data,0x0302,0xFE302) end
virtualcharacters[0xFE303] = function(data) return smashed(data,0x0303,0xFE303) end
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