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-rw-r--r--tex/context/base/mkiv/math-act.lua661
1 files changed, 661 insertions, 0 deletions
diff --git a/tex/context/base/mkiv/math-act.lua b/tex/context/base/mkiv/math-act.lua
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index 000000000..d0ea78990
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+++ b/tex/context/base/mkiv/math-act.lua
@@ -0,0 +1,661 @@
+if not modules then modules = { } end modules ['math-act'] = {
+ 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"
+}
+
+-- Here we tweak some font properties (if needed).
+
+local type, next = type, next
+local fastcopy = table.fastcopy
+local formatters = string.formatters
+
+local trace_defining = false trackers.register("math.defining", function(v) trace_defining = v end)
+local trace_collecting = false trackers.register("math.collecting", function(v) trace_collecting = v end)
+
+local report_math = logs.reporter("mathematics","initializing")
+
+local context = context
+local commands = commands
+local mathematics = mathematics
+local texsetdimen = tex.setdimen
+local abs = math.abs
+
+local sequencers = utilities.sequencers
+local appendgroup = sequencers.appendgroup
+local appendaction = sequencers.appendaction
+
+local fontchars = fonts.hashes.characters
+
+local mathfontparameteractions = sequencers.new {
+ name = "mathparameters",
+ arguments = "target,original",
+}
+
+appendgroup("mathparameters","before") -- user
+appendgroup("mathparameters","system") -- private
+appendgroup("mathparameters","after" ) -- user
+
+function fonts.constructors.assignmathparameters(original,target)
+ local runner = mathfontparameteractions.runner
+ if runner then
+ runner(original,target)
+ end
+end
+
+function mathematics.initializeparameters(target,original)
+ local mathparameters = original.mathparameters
+ if mathparameters and next(mathparameters) then
+ target.mathparameters = mathematics.dimensions(mathparameters)
+ end
+end
+
+sequencers.appendaction("mathparameters","system","mathematics.initializeparameters")
+
+local how = {
+ -- RadicalKernBeforeDegree = "horizontal",
+ -- RadicalKernAfterDegree = "horizontal",
+ ScriptPercentScaleDown = "unscaled",
+ ScriptScriptPercentScaleDown = "unscaled",
+ RadicalDegreeBottomRaisePercent = "unscaled"
+}
+
+function mathematics.scaleparameters(target,original)
+ if not target.properties.math_is_scaled then
+ local mathparameters = target.mathparameters
+ if mathparameters and next(mathparameters) then
+ local parameters = target.parameters
+ local factor = parameters.factor
+ local hfactor = parameters.hfactor
+ local vfactor = parameters.vfactor
+ for name, value in next, mathparameters do
+ local h = how[name]
+ if h == "unscaled" then
+ -- kept
+ elseif h == "horizontal" then
+ value = value * hfactor
+ elseif h == "vertical"then
+ value = value * vfactor
+ else
+ value = value * factor
+ end
+ mathparameters[name] = value
+ end
+ end
+ target.properties.math_is_scaled = true
+ end
+end
+
+sequencers.appendaction("mathparameters","system","mathematics.scaleparameters")
+
+-- AccentBaseHeight vs FlattenedAccentBaseHeight
+
+function mathematics.checkaccentbaseheight(target,original)
+ local mathparameters = target.mathparameters
+ if mathparameters and mathparameters.AccentBaseHeight == 0 then
+ mathparameters.AccentBaseHeight = target.parameters.x_height -- needs checking
+ end
+end
+
+sequencers.appendaction("mathparameters","system","mathematics.checkaccentbaseheight") -- should go in lfg instead
+
+function mathematics.checkprivateparameters(target,original)
+ local mathparameters = target.mathparameters
+ if mathparameters then
+ local parameters = target.parameters
+ local properties = target.properties
+ if parameters then
+ local size = parameters.size
+ if size then
+ if not mathparameters.FractionDelimiterSize then
+ mathparameters.FractionDelimiterSize = 1.01 * size
+ end
+ if not mathparameters.FractionDelimiterDisplayStyleSize then
+ mathparameters.FractionDelimiterDisplayStyleSize = 2.40 * size
+ end
+ elseif properties then
+ report_math("invalid parameters in font %a",properties.fullname or "?")
+ else
+ report_math("invalid parameters in font")
+ end
+ elseif properties then
+ report_math("no parameters in font %a",properties.fullname or "?")
+ else
+ report_math("no parameters and properties in font")
+ end
+ end
+end
+
+sequencers.appendaction("mathparameters","system","mathematics.checkprivateparameters")
+
+function mathematics.overloadparameters(target,original)
+ local mathparameters = target.mathparameters
+ if mathparameters and next(mathparameters) then
+ local goodies = target.goodies
+ if goodies then
+ for i=1,#goodies do
+ local goodie = goodies[i]
+ local mathematics = goodie.mathematics
+ local parameters = mathematics and mathematics.parameters
+ if parameters then
+ if trace_defining then
+ report_math("overloading math parameters in %a @ %p",target.properties.fullname,target.parameters.size)
+ end
+ for name, value in next, parameters do
+ local tvalue = type(value)
+ if tvalue == "string" then
+ report_math("comment for math parameter %a: %s",name,value)
+ else
+ local oldvalue = mathparameters[name]
+ local newvalue = oldvalue
+ if oldvalue then
+ if tvalue == "number" then
+ newvalue = value
+ elseif tvalue == "function" then
+ newvalue = value(oldvalue,target,original)
+ elseif not tvalue then
+ newvalue = nil
+ end
+ if trace_defining and oldvalue ~= newvalue then
+ report_math("overloading math parameter %a: %S => %S",name,oldvalue,newvalue)
+ end
+ else
+ report_math("invalid math parameter %a",name)
+ end
+ mathparameters[name] = newvalue
+ end
+ end
+ end
+ end
+ end
+ end
+end
+
+sequencers.appendaction("mathparameters","system","mathematics.overloadparameters")
+
+local function applytweaks(when,target,original)
+ local goodies = original.goodies
+ if goodies then
+ for i=1,#goodies do
+ local goodie = goodies[i]
+ local mathematics = goodie.mathematics
+ local tweaks = mathematics and mathematics.tweaks
+ if tweaks then
+ tweaks = tweaks[when]
+ if tweaks then
+ if trace_defining then
+ report_math("tweaking math of %a @ %p (%s)",target.properties.fullname,target.parameters.size,when)
+ end
+ for i=1,#tweaks do
+ local tweak= tweaks[i]
+ local tvalue = type(tweak)
+ if tvalue == "function" then
+ tweak(target,original)
+ end
+ end
+ end
+ end
+ end
+ end
+end
+
+function mathematics.tweakbeforecopyingfont(target,original)
+ local mathparameters = target.mathparameters -- why not hasmath
+ if mathparameters then
+ applytweaks("beforecopying",target,original)
+ end
+end
+
+function mathematics.tweakaftercopyingfont(target,original)
+ local mathparameters = target.mathparameters -- why not hasmath
+ if mathparameters then
+ applytweaks("aftercopying",target,original)
+ end
+end
+
+sequencers.appendaction("beforecopyingcharacters","system","mathematics.tweakbeforecopyingfont")
+sequencers.appendaction("aftercopyingcharacters", "system","mathematics.tweakaftercopyingfont")
+
+function mathematics.overloaddimensions(target,original,set)
+ local goodies = target.goodies
+ if goodies then
+ for i=1,#goodies do
+ local goodie = goodies[i]
+ local mathematics = goodie.mathematics
+ local dimensions = mathematics and mathematics.dimensions
+ if dimensions then
+ if trace_defining then
+ report_math("overloading dimensions in %a @ %p",target.properties.fullname,target.parameters.size)
+ end
+ local characters = target.characters
+ local parameters = target.parameters
+ local factor = parameters.factor
+ local hfactor = parameters.hfactor
+ local vfactor = parameters.vfactor
+ local addprivate = fonts.helpers.addprivate
+ local function overload(dimensions)
+ for unicode, data in next, dimensions do
+ local character = characters[unicode]
+ if character then
+ --
+ local width = data.width
+ local height = data.height
+ local depth = data.depth
+ if trace_defining and (width or height or depth) then
+ report_math("overloading dimensions of %C, width %a, height %a, depth %a",unicode,width,height,depth)
+ end
+ if width then character.width = width * hfactor end
+ if height then character.height = height * vfactor end
+ if depth then character.depth = depth * vfactor end
+ --
+ local xoffset = data.xoffset
+ local yoffset = data.yoffset
+ if xoffset then
+ xoffset = { "right", xoffset * hfactor }
+ end
+ if yoffset then
+ yoffset = { "down", -yoffset * vfactor }
+ end
+ if xoffset or yoffset then
+ local slot = { "slot", 1, addprivate(target,nil,fastcopy(character)) }
+ if xoffset and yoffset then
+ character.commands = { xoffset, yoffset, slot }
+ elseif xoffset then
+ character.commands = { xoffset, slot }
+ else
+ character.commands = { yoffset, slot }
+ end
+ character.index = nil
+ end
+ elseif trace_defining then
+ report_math("no overloading dimensions of %C, not in font",unicode)
+ end
+ end
+ end
+ if set == nil then
+ set = { "default" }
+ end
+ if set == "all" or set == true then
+ for name, set in next, dimensions do
+ overload(set)
+ end
+ else
+ if type(set) == "string" then
+ set = utilities.parsers.settings_to_array(set)
+ end
+ if type(set) == "table" then
+ for i=1,#set do
+ local d = dimensions[set[i]]
+ if d then
+ overload(d)
+ end
+ end
+ end
+ end
+ end
+ end
+ end
+end
+
+sequencers.appendaction("aftercopyingcharacters", "system","mathematics.overloaddimensions")
+
+-- a couple of predefined tweaks:
+
+local tweaks = { }
+mathematics.tweaks = tweaks
+
+-- function tweaks.fixbadprime(target,original)
+-- target.characters[0xFE325] = target.characters[0x2032]
+-- end
+
+-- these could go to math-fbk
+
+-- local function accent_to_extensible(target,newchr,original,oldchr,height,depth,swap)
+-- local characters = target.characters
+-- -- if not characters[newchr] then -- xits needs an enforce
+-- 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 }
+-- local newdata = {
+-- commands = { correction, { "slot", 1, oldchr } },
+-- width = olddata.width,
+-- height = height,
+-- depth = depth,
+-- }
+-- characters[newchr] = 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
+-- end
+-- -- end
+-- end
+
+-- function tweaks.fixoverline(target,original)
+-- 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
+-- accent_to_extensible(target,0x203E,original,0x0305,height,depth)
+-- -- also crappy spacing for our purpose: push to top of baseline
+-- accent_to_extensible(target,0xFE3DE,original,0x23DE,height,depth,0x23DF)
+-- accent_to_extensible(target,0xFE3DC,original,0x23DC,height,depth,0x23DD)
+-- accent_to_extensible(target,0xFE3B4,original,0x23B4,height,depth,0x23B5)
+-- -- for symmetry
+-- target.characters[0xFE3DF] = original.characters[0x23DF]
+-- target.characters[0xFE3DD] = original.characters[0x23DD]
+-- target.characters[0xFE3B5] = original.characters[0x23B5]
+-- -- inspect(fonts.helpers.expandglyph(target.characters,0x203E))
+-- -- inspect(fonts.helpers.expandglyph(target.characters,0x23DE))
+-- end
+
+-- sequencers.appendaction("aftercopyingcharacters", "system","mathematics.tweaks.fixoverline") -- for the moment always
+
+-- helpers
+
+local setmetatableindex = table.setmetatableindex
+local family_font = node.family_font
+
+local fontcharacters = fonts.hashes.characters
+local fontdescriptions = fonts.hashes.descriptions
+local extensibles = utilities.storage.allocate()
+fonts.hashes.extensibles = extensibles
+
+local chardata = characters.data
+local extensibles = mathematics.extensibles
+
+-- we use numbers at the tex end (otherwise we could stick to chars)
+
+local e_left = extensibles.left
+local e_right = extensibles.right
+local e_horizontal = extensibles.horizontal
+local e_vertical = extensibles.vertical
+local e_mixed = extensibles.mixed
+local e_unknown = extensibles.unknown
+
+local unknown = { e_unknown, false, false }
+
+local function extensiblecode(font,unicode)
+ local characters = fontcharacters[font]
+ local character = characters[unicode]
+ if not character then
+ return unknown
+ end
+ local first = character.next
+ local code = unicode
+ local next = first
+ while next do
+ code = next
+ character = characters[next]
+ next = character.next
+ end
+ local char = chardata[unicode]
+ if not char then
+ return unknown
+ end
+ if character.horiz_variants then
+ if character.vert_variants then
+ return { e_mixed, code, character }
+ else
+ local m = char.mathextensible
+ local e = m and extensibles[m]
+ return e and { e, code, character } or unknown
+ end
+ elseif character.vert_variants then
+ local m = char.mathextensible
+ local e = m and extensibles[m]
+ return e and { e, code, character } or unknown
+ elseif first then
+ -- assume accent (they seldom stretch .. sizes)
+ local m = char.mathextensible or char.mathstretch
+ local e = m and extensibles[m]
+ return e and { e, code, character } or unknown
+ else
+ return unknown
+ end
+end
+
+setmetatableindex(extensibles,function(extensibles,font)
+ local codes = { }
+ setmetatableindex(codes, function(codes,unicode)
+ local status = extensiblecode(font,unicode)
+ codes[unicode] = status
+ return status
+ end)
+ extensibles[font] = codes
+ return codes
+end)
+
+local function extensiblecode(family,unicode)
+ return extensibles[family_font(family or 0)][unicode][1]
+end
+
+-- left : [head] ...
+-- right : ... [head]
+-- horizontal : [head] ... [head]
+--
+-- abs(right["start"] - right["end"]) | right.advance | characters[right.glyph].width
+
+local function horizontalcode(family,unicode)
+ local font = family_font(family or 0)
+ local data = extensibles[font][unicode]
+ local kind = data[1]
+ local loffset = 0
+ local roffset = 0
+ if kind == e_left then
+ local charlist = data[3].horiz_variants
+ if charlist then
+ local left = charlist[1]
+ loffset = abs((left["start"] or 0) - (left["end"] or 0))
+ end
+ elseif kind == e_right then
+ local charlist = data[3].horiz_variants
+ local right = charlist[#charlist]
+ roffset = abs((right["start"] or 0) - (right["end"] or 0))
+ elseif kind == e_horizontal then
+ local charlist = data[3].horiz_variants
+ if charlist then
+ local left = charlist[1]
+ local right = charlist[#charlist]
+ loffset = abs((left ["start"] or 0) - (left ["end"] or 0))
+ roffset = abs((right["start"] or 0) - (right["end"] or 0))
+ end
+ end
+ return kind, loffset, roffset
+end
+
+mathematics.extensiblecode = extensiblecode
+mathematics.horizontalcode = horizontalcode
+
+interfaces.implement {
+ name = "extensiblecode",
+ arguments = { "integer", "integer" },
+ actions = { extensiblecode, context }
+}
+
+interfaces.implement {
+ name = "horizontalcode",
+ arguments = { "integer", "integer" },
+ actions = function(family,unicode)
+ local kind, loffset, roffset = horizontalcode(family,unicode)
+ texsetdimen("scratchleftoffset", loffset)
+ texsetdimen("scratchrightoffset",roffset)
+ context(kind)
+ end
+}
+
+-- experiment
+
+-- check: when true, only set when present in font
+-- force: when false, then not set when already set
+
+local blocks = characters.blocks -- this will move to char-ini
+
+-- operators : 0x02200
+-- symbolsa : 0x02701
+-- symbolsb : 0x02901
+-- supplemental : 0x02A00
+
+-- from mathematics.gaps:
+
+blocks["lowercaseitalic"].gaps = {
+ [0x1D455] = 0x0210E, -- ℎ h
+}
+
+blocks["uppercasescript"].gaps = {
+ [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
+}
+
+blocks["lowercasescript"].gaps = {
+ [0x1D4BA] = 0x0212F, -- ℯ script e
+ [0x1D4BC] = 0x0210A, -- ℊ script g
+ [0x1D4C4] = 0x02134, -- ℴ script o
+}
+
+blocks["uppercasefraktur"].gaps = {
+ [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
+}
+
+blocks["uppercasedoublestruck"].gaps = {
+ [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
+}
+
+-- todo: tounicode
+
+function mathematics.injectfallbacks(target,original)
+ local properties = original.properties
+ if properties and properties.hasmath then
+ local specification = target.specification
+ if specification then
+ local fallbacks = specification.fallbacks
+ if fallbacks then
+ local definitions = fonts.collections.definitions[fallbacks]
+ if definitions then
+ if trace_collecting then
+ report_math("adding fallback characters to font %a",specification.hash)
+ end
+ local definedfont = fonts.definers.internal
+ local copiedglyph = fonts.handlers.vf.math.copy_glyph
+ local fonts = target.fonts
+ local size = specification.size -- target.size
+ local characters = target.characters
+ if not fonts then
+ fonts = { }
+ target.fonts = fonts
+ target.type = "virtual"
+ target.properties.virtualized = true
+ end
+ if #fonts == 0 then
+ fonts[1] = { id = 0, size = size } -- sel, will be resolved later
+ end
+ local done = { }
+ for i=1,#definitions do
+ local definition = definitions[i]
+ local name = definition.font
+ local start = definition.start
+ local stop = definition.stop
+ local gaps = definition.gaps
+ local check = definition.check
+ local force = definition.force
+ local rscale = definition.rscale or 1
+ local offset = definition.offset or start
+ local id = definedfont { name = name, size = size * rscale }
+ local index = #fonts + 1
+ fonts[index] = { id = id, size = size }
+ local chars = fontchars[id]
+ local function remap(unic,unicode,gap)
+ local unic = unicode + offset - start
+ if check and not chars[unicode] then
+ -- not in font
+ elseif force or (not done[unic] and not characters[unic]) then
+ if trace_collecting then
+ report_math("remapping math character, vector %a, font %a, character %C%s%s",
+ fallbacks,name,unic,check and ", checked",gap and ", gap plugged")
+ end
+ characters[unic] = copiedglyph(target,characters,chars,unicode,index)
+ done[unic] = true
+ end
+ end
+ for unicode = start, stop do
+ local unic = unicode + offset - start
+ remap(unic,unicode,false)
+ end
+ if gaps then
+ for unic, unicode in next, gaps do
+ remap(unic,unicode,true)
+ end
+ end
+ end
+ end
+ end
+ end
+ end
+end
+
+sequencers.appendaction("aftercopyingcharacters", "system","mathematics.injectfallbacks")