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|
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). The commented sections
-- have been removed (no longer viable) but can be found in the .lua variant.
-- The tweaks here evolved from experiments with, discussions about and upgrades of
-- the math subsystem, a project that Mikael Sundvist and I started end 2021 and
-- that is still ongoing in 2023 (and probably beyond as we find new challenges as
-- we go).
local type, next, tonumber = type, next, tonumber
local fastcopy, copytable, insert, remove, concat = table.fastcopy, table.copy, table.insert, table.remove, table.concat
local formatters = string.formatters
local byte = string.byte
local max = math.max
local setmetatableindex, sortedkeys, sortedhash = table.setmetatableindex, table.sortedkeys, table.sortedhash
local lpegmatch = lpeg.match
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 trace_tweaking = false trackers.register("math.tweaks", function(v) trace_tweaking = v end)
local report_math = logs.reporter("mathematics","initializing")
local report_mathtweak = logs.reporter("mathematics","tweak")
local getfontoffamily = tex.getfontoffamily
local texget = tex.get
local fontcharacters = fonts.hashes.characters
local chardata = characters.data
local extensibles = mathematics.extensibles
local context = context
local commands = commands
local mathematics = mathematics
local texsetdimen = tex.setdimen
local texisdimen = tex.isdimen
local abs = math.abs
local blocks = characters.blocks
local stepper = utilities.parsers.stepper
local helpers = fonts.helpers
local prependcommands = helpers.prependcommands
local vfcommands = helpers.commands
local upcommand = vfcommands.up
local downcommand = vfcommands.down
local rightcommand = vfcommands.right
local leftcommand = vfcommands.left
local slotcommand = vfcommands.slot
local charcommand = vfcommands.char
local push = vfcommands.push
local pop = vfcommands.pop
local sequencers = utilities.sequencers
local appendgroup = sequencers.appendgroup
local appendaction = sequencers.appendaction
local fontchars = fonts.hashes.characters
local fontproperties = fonts.hashes.properties
local mathgaps = mathematics.gaps
local d_scratchleftoffset = texisdimen("scratchleftoffset")
local d_scratchrightoffset = texisdimen("scratchrightoffset")
local use_math_goodies = true directives.register("math.nogoodies", function(v) use_math_goodies = not v end)
local checkitalics = false trackers .register("math.checkitalics", function(v) checkitalics = v end)
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) -- wrong way around
local runner = mathfontparameteractions.runner
if runner then
runner(original,target)
end
end
-- we need a better reset because the following will scale
local undefined <const> = 0x3FFFFFFF -- maxdimen or undefined_math_parameter
function mathematics.initializeparameters(target,original,nodimensions)
local mathparameters = original.mathparameters
if mathparameters and next(mathparameters) then
if nodimensions ~= "noscale" then
mathparameters = mathematics.dimensions(mathparameters)
end
--
-- if not mathparameters.MinConnectorOverlap then mathparameters.MinConnectorOverlap = undefined end
if not mathparameters.SubscriptShiftDownWithSuperscript then mathparameters.SubscriptShiftDownWithSuperscript = mathparameters.SubscriptShiftDown * 1.5 end
-- if not mathparameters.FractionDelimiterSize then mathparameters.FractionDelimiterSize = undefined end
-- if not mathparameters.FractionDelimiterDisplayStyleSize then mathparameters.FractionDelimiterDisplayStyleSize = undefined end
-- if not mathparameters.SkewedDelimiterTolerance then mathparameters.SkewedDelimiterTolerance = undefined end
-- some more can be undefined:
if not mathparameters.PrimeRaisePercent then mathparameters.PrimeRaisePercent = 0 end
if not mathparameters.PrimeRaiseComposedPercent then mathparameters.PrimeRaiseComposedPercent = 0 end
if not mathparameters.PrimeShiftUp then mathparameters.PrimeShiftUp = mathparameters.SuperscriptShiftUp end
if not mathparameters.PrimeBaselineDropMax then mathparameters.PrimeBaselineDropMax = mathparameters.SuperscriptBaselineDropMax end
if not mathparameters.PrimeShiftUpCramped then mathparameters.PrimeShiftUpCramped = mathparameters.SuperscriptShiftUpCramped end
if not mathparameters.PrimeSpaceAfter then mathparameters.PrimeSpaceAfter = 0 end
if not mathparameters.PrimeWidthPercent then mathparameters.PrimeWidthPercent = 50 end
if not mathparameters.SpaceBeforeScript then mathparameters.SpaceBeforeScript = mathparameters.SpaceAfterScript end
if not mathparameters.NoLimitSupFactor then mathparameters.NoLimitSupFactor = 0 end
if not mathparameters.NoLimitSubFactor then mathparameters.NoLimitSubFactor = 0 end
if not mathparameters.AccentTopShiftUp then mathparameters.AccentTopShiftUp = 0 end
if not mathparameters.AccentBottomShiftDown then mathparameters.AccentBottomShiftDown = 0 end
if not mathparameters.FlattenedAccentTopShiftUp then mathparameters.AccentTopShiftUp = 0 end
if not mathparameters.FlattenedAccentBottomShiftDown then mathparameters.AccentBottomShiftDown = 0 end
if not mathparameters.AccentBaseDepth then mathparameters.AccentBaseDepth = 0 end
if not mathparameters.AccentFlattenedBaseDepth then mathparameters.AccentFlattenedBaseDepth = 0 end
if not mathparameters.AccentTopOvershoot then mathparameters.AccentTopOvershoot = 0 end
if not mathparameters.AccentBottomOvershoot then mathparameters.AccentBottomOvershoot = 0 end
if not mathparameters.AccentSuperscriptDrop then mathparameters.AccentSuperscriptDrop = 0 end
if not mathparameters.AccentSuperscriptPercent then mathparameters.AccentSuperscriptPercent = 0 end
if not mathparameters.AccentExtendMargin then mathparameters.AccentExtendMargin = 50 end
if not mathparameters.DelimiterPercent then mathparameters.DelimiterPercent = 100 end
if not mathparameters.DelimiterShortfall then mathparameters.DelimiterShortfall = 0 end
if not mathparameters.RadicalKernAfterExtensible then mathparameters.RadicalKernAfterExtensible = 0 end
if not mathparameters.RadicalKernBeforeExtensible then mathparameters.RadicalKernBeforeExtensible = 0 end
--
target.mathparameters = mathparameters
end
end
sequencers.appendaction("mathparameters","system","mathematics.initializeparameters")
local how = {
-- RadicalKernBeforeDegree = "horizontal",
-- RadicalKernAfterDegree = "horizontal",
ScriptPercentScaleDown = "unscaled",
ScriptScriptPercentScaleDown = "unscaled",
RadicalDegreeBottomRaisePercent = "unscaled",
NoLimitSupFactor = "unscaled",
NoLimitSubFactor = "unscaled",
PrimeRaisePercent = "unscaled",
PrimeRaiseComposedPercent = "unscaled",
PrimeWidthPercent = "unscaled",
AccentTopOvershoot = "unscaled",
AccentBottomOvershoot = "unscaled",
AccentSuperscriptPercent = "unscaled",
DelimiterPercent = "unscaled",
--
RadicalRuleThickness = "vertical",
OverbarRuleThickness = "vertical",
FractionRuleThickness = "vertical",
UnderbarRuleThickness = "vertical",
}
local function scaleparameters(mathparameters,parameters)
if mathparameters and next(mathparameters) and parameters then
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
end
function mathematics.scaleparameters(target,original)
if not target.properties.math_is_scaled then
scaleparameters(target.mathparameters,target.parameters)
target.properties.math_is_scaled = true
end
end
-- AccentBaseHeight vs FlattenedAccentBaseHeight
-- function mathematics.checkaccentbaseheight(target,original)
-- local mathparameters = target.mathparameters
-- if mathparameters and mathparameters.AccentBaseHeight == 0 then
-- if trace_defining then
-- report_math("zero AccentBaseHeight corrected %a @ %p",target.properties.fullname,target.parameters.size)
-- end
-- mathparameters.AccentBaseHeight = target.parameters.xheight -- needs checking
-- end
-- end
function mathematics.overloadparameters(target,original)
if use_math_goodies then
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
if mathematics then
local parameters = mathematics.parameters
local bigslots = mathematics.bigslots or mathematics.bigs
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)
local oldvalue = mathparameters[name]
local newvalue = oldvalue
if tvalue == "number" then
newvalue = value
elseif tvalue == "string" then
-- delay till all set
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 or 0,newvalue)
end
mathparameters[name] = newvalue
end
for name, value in next, parameters do
local tvalue = type(value)
if tvalue == "string" then
local newvalue = mathparameters[value]
if not newvalue then
local code = loadstring("return " .. value,"","t",mathparameters)
if type(code) == "function" then
local okay, v = pcall(code)
if okay then
newvalue = v
end
end
end
if newvalue then
-- split in number and string
mathparameters[name] = newvalue
elseif trace_defining then
report_math("ignoring math parameter %a: %S",name,value)
end
end
end
end
if bigslots then
target.bigslots = bigslots
end
end
end
end
end
end
end
-- a couple of predefined tweaks:
local datasets = { }
local mathtweaks = { datasets = datasets }
mathematics.tweaks = mathtweaks
-- can be a common helper:
local f_u = formatters["%U"]
local function unicodecharlist(t)
local r = { }
local n = 0
for u in sortedhash(t) do
n = n + 1 ; r[n] = f_u(u)
end
return concat(r," ")
end
local function report_tweak(fmt,target,original,...)
if fmt then
local metadata = (original and original.shared.rawdata.metadata) or
(target and target .shared.rawdata.metadata)
local parameters = target.parameters
if parameters then
report_mathtweak(
"%a, size %P, math size %i, %s",
metadata and metadata.fontname or "unknown",
parameters.size or 655360,
parameters.mathsize or 1,
formatters[fmt](...)
)
else
print("something is wrong")
end
else
report_mathtweak("")
end
end
local function feedback_tweak(tweak,target,original,done)
if not done or (type(done) == "table" and not next(done)) then
if trace_tweaking then -- for now
report_tweak("no need for %a",target,original,tweak)
end
elseif trace_tweaking then
report_tweak("tweak %a applied to: %s",target,original,tweak,unicodecharlist(done))
end
end
mathtweaks.subsets = {
acenorsuvxz = { 0x1D44E, 0x1D450, 0x1D452, 0x1D45B, 0x1D45C, 0x1D45F, 0x1D460, 0x1D462, 0x1D463, 0x1D465, 0x1D467 },
bhklt = { 0x1D44F, 0x1D455, 0x1D458, 0x1D459, 0x1D461 },
d = { 0x1D451 },
f = { 0x1D453 },
gjqy = { 0x1D454, 0x1D457, 0x1D45E, 0x1D466 },
i = { 0x1D456 },
mw = { 0x1D45A, 0x1D464 },
p = { 0x1D45D },
dotless = { 0x00049, 0x0004A, 0x00131, 0x00237, 0x1D6A4, 0x1D6A5 },
integrals = { 0x0222B, 0x0222C, 0x0222D, 0x0222E, 0x0222F, 0x02230, 0x02231, 0x02232, 0x02233, 0x02A0B, 0x02A0C, 0x02A0D, 0x02A0E, 0x02A0F, 0x02A10, 0x02A11, 0x02A12, 0x02A13, 0x02A14, 0x02A15, 0x02A16, 0x02A17, 0x02A18, 0x02A19, 0x02A1A, 0x02A1B, 0x02A1C, 0x02320, 0x02321 },
horizontalfences = { 0x0203E, 0x023B4, 0x023B5, 0x023DC, 0x023DD, 0x023DE, 0x023DF, 0x023E0, 0x023E1 }, -- not really used
}
local function getalso(target,original)
local also = target.tweakalso -- maybe
if not also then
also = { }
-- for k, v in sortedhash(target.characters) do
for k, v in next, target.characters do
local u = v.unicode
if u and k ~= u then
local a = also[u]
if a then
a[#a+1] = k
else
also[u] = { k }
end
end
end
target.tweakalso = also
end
return also
end
-- {
-- tweak = "dimensions",
-- list = {
-- ["lowercasegreeksansserifbolditalic"] = {
-- -- delta = 0x003B1 - 0x1D7AA,
-- slant = -0.2,
-- line = 0.1,
-- mode = 1,
-- width = 0.675,
-- -- scale = 0.975,
-- squeeze = 0.975,
-- extend = .7,
-- },
-- },
-- },
-- ["0x7C.variants.*"] = { squeeze = 0.10, height = 0.10, depth = 0.10 },
local detail do
local splitter = lpeg.tsplitat(".")
detail = function(characters,k)
if type(k) == "string" then
local t = lpegmatch(splitter,k)
local n = #t
if n > 0 then
local base = tonumber(t[1]) or tonumber(t[1],16)
if base then
local c = characters[base]
if c and n > 1 then
local list = t[2]
if list == "parts" then
local nxt = c.next
while nxt do
c = characters[nxt]
nxt = c.next
end
c = c.parts
if c then
local index = t[3]
if index == "*" then
return t
else
if index == "top" then
index = #c
elseif index == "bottom" then
index = 1
else
index = tonumber(index)
end
if index then
c = c[index]
if c then
return c.glyph
end
end
end
end
elseif list == "variants" then
local index = t[3]
if index == "*" then
local t = { }
local nxt = c.next
while nxt do
t[#t+1] = nxt
c = characters[nxt]
nxt = c.next
end
return t
else
index = tonumber(index)
if index then
local nxt = c.next
while nxt and index > 1 do
c = characters[nxt]
nxt = c.next
index = index - 1
end
return nxt
end
end
elseif list == "flataccent" then
return c.flataccent
end
end
end
end
else
return k
end
end
end
-- This temporary tweak was used when we (MS & HH) were fixing the Latin Modern
-- parameters that relate to script placement. We started from the original cmr
-- ratios combined with the formal specification and ended up with the following
-- values. In the end we rejected this tweak and setteled for checking and fixing:
--
-- SubscriptShiftDown
-- SubscriptShiftDownWithSuperscript
-- SuperscriptShiftUp
-- SuperscriptShiftUpCramped
--
-- because it looks a bit arbitrary what values are set. We keep the code below
-- as documentation.
-- do
-- -- modern
-- --
-- -- local factors = {
-- -- scripts = {
-- -- SubscriptBaselineDropMin = 0.116,
-- -- SubscriptShiftDown = 0.348,
-- -- SubscriptShiftDownWithSuperscript = 0.573,
-- -- SubscriptTopMax = 0.800,
-- -- SuperscriptBaselineDropMax = 0.896,
-- -- SuperscriptBottomMaxWithSubscript = 0.800,
-- -- SuperscriptBottomMin = 0.250,
-- -- SuperscriptShiftUp = 0.958,
-- -- SuperscriptShiftUpCramped = 0.958,
-- -- }
-- -- }
--
-- -- -- cambria
-- --
-- -- local factors = {
-- -- scripts = {
-- -- SubscriptBaselineDropMin = 0.279,
-- -- SubscriptShiftDown = 0.364,
-- -- SubscriptShiftDownWithSuperscript = 0.547,
-- -- SubscriptTopMax = 0.662,
-- -- SuperscriptBaselineDropMax = 0.401,
-- -- SuperscriptBottomMaxWithSubscript = 0.667,
-- -- SuperscriptBottomMin = 0.208,
-- -- SuperscriptShiftUp = 0.654,
-- -- SuperscriptShiftUpCramped = 0.654,
-- -- }
-- -- }
--
-- -- after some tests and inspection
-- --
--
-- local factors = {
-- scripts = {
-- SubscriptBaselineDropMin = 0.100, -- harmless but small (seldom triggered)
-- SubscriptShiftDown = 0.400, -- by inspection in several files
-- SubscriptShiftDownWithSuperscript = 0.400, -- as above
-- SubscriptTopMax = 0.800, -- Microsoft recommendation
-- SuperscriptBaselineDropMax = 0.100, -- see SubscriptBaselineDropMin
-- SuperscriptBottomMaxWithSubscript = 0.800, -- Microsoft recommendation
-- SuperscriptBottomMin = 0.250, -- Microsoft recommendation
-- SuperscriptShiftUp = 0.650, -- by inspection, but also a bit gamble
-- SuperscriptShiftUpCramped = 0.650, -- see above, non-TeX
-- }
-- }
--
-- datasets.fixparameters = factors
--
-- function mathtweaks.fixparameters(target,original,parameters)
-- local mathparameters = target.mathparameters
-- if mathparameters and next(mathparameters) then
-- local xheight = target.parameters.xheight
-- -- todo : options
-- for k, v in next, factors.scripts do
-- mathparameters[k] = v * xheight
-- end
-- end
-- end
--
-- end
do
local stepper = utilities.parsers.stepper
local count = 0
local toeffect = fonts.toeffect
local privateslot = fonts.helpers.privateslot
local function adapt(list,target,original,targetcharacters,originalcharacters,k,v,compact,n)
k = mathgaps[k] or k
local character = targetcharacters[k]
if character then
-- if not character.tweaked then -- todo: add a force
local t = type(v)
if t == "number" then
v = list[v]
t = type(v)
end
if t == "table" and next(v) then
local axis = tonumber(v.axis)
if axis then
axis = target.mathparameters.AxisHeight * axis
end
local factor = v.factor
if factor then
local m = v
v = setmetatableindex({
width = factor,
height = factor,
depth = factor,
squeeze = factor,
extend = factor,
}, v)
end
local originalslot = v.original
if not originalslot then
local delta = v.delta
if delta then
originalslot = k + delta
end
end
if originalslot then
originalslot = mathgaps[originalslot] or originalslot
local data = targetcharacters[originalslot]
if data then
data = copytable(data)
data.unicode = originalslot
targetcharacters[k] = data
character = data
else
report_mathtweak("no slot %U",originalslot)
return
end
end
--
local width = character.width
local height = character.height
local depth = character.depth
local italic = character.italic
local topanchor = character.topanchor
local bottomanchor = character.bottomanchor
--
local widthfactor = v.width
local heightfactor = v.height
local depthfactor = v.depth
local italicfactor = v.italic
local anchorfactor = v.anchor
local advancefactor = v.advance
local xoffsetfactor = v.xoffset
local yoffsetfactor = v.yoffset
local scalefactor = v.scale
local total = (height or 0) + (depth or 0)
if scalefactor ~= 1 then
character.scale = scalefactor
end
if width and width ~= 0 then
if advancefactor then
character.advance = advancefactor * width
else
character.advance = character.advance or width -- so advance is oldwidth
end
if widthfactor then
character.width = widthfactor * width
end
if xoffsetfactor then
character.xoffset = xoffsetfactor * width
end
end
if height and height ~= 0 then
if heightfactor then
character.height = heightfactor * height
end
end
if depth and depthfactor then
character.depth = depthfactor * depth
end
if yoffsetfactor then
character.yoffset = yoffsetfactor * total
end
if axis then
character.height = (character.height or 0) - axis
character.depth = (character.depth or 0) + axis
character.yoffset = (character.yoffset or 0) + axis
end
if italicfactor then
if italic then
character.italic = italicfactor * italic
elseif width and italicfactor ~= 1 then
character.italic = italicfactor * width
end
end
if anchorfactor then
character.topanchor = anchorfactor * (topanchor or width)
end
-- if anchorfactor then
-- character.bottomaccent = anchorfactor * (bottomanchor or width)
-- end
-- begin experiment
local line = v.wline
if line then
local parameters = target.parameters
v.line = parameters.hfactor * line / parameters.units
end
-- end experiment
character.effect = toeffect(v) -- todo: move wline test inside here
-- begin experiment
v.line = line
-- end experiment
if trace_tweaking then
report_tweak("adapting dimensions of %U ",target,original,k)
end
-- missing when private
local originaldata = originalcharacters[k] -- or targetcharacters[k]
local smaller = originaldata and originaldata.smaller
if compact and smaller and smaller ~= k then
adapt(list,target,original,targetcharacters,originalcharacters,smaller,v,compact,n+1)
end
count = count + 1
else
report_mathtweak("invalid dimension entry %U",k)
end
-- character.tweaked = true
if v.all then
local nxt = character.next
if nxt then
adapt(list,target,original,targetcharacters,originalcharacters,nxt,v,compact,n)
else
local parts = character.parts
if parts then
for i=1,#parts do
adapt(list,target,original,targetcharacters,originalcharacters,parts[i],v,compact,n)
end
end
end
end
-- end
else
report_tweak("no character %U",target,original,k)
end
end
function mathtweaks.dimensions(target,original,parameters)
local list = parameters.list
if list then
local targetcharacters = target.characters
local originalcharacters = original.characters
local compact = target.parameters.textscale and true or false
count = 0
for k, v in sortedhash(list) do
local t = type(k)
if t == "number" then
adapt(list,target,original,targetcharacters,originalcharacters,k,v,compact,1)
elseif t == "string" then
local d = privateslot(k) or detail(targetcharacters,k) -- watch the private here
local t = type(d)
if t == "table" then
for i=1,#d do
adapt(list,target,original,targetcharacters,originalcharacters,d[i],v,compact,1)
end
elseif t == "number" then
adapt(list,target,original,targetcharacters,originalcharacters,d,v,compact,1)
elseif d then
-- some kind of error
else
local r = blocks[k]
if r then
local done = false
for i=r.first,r.last do
adapt(list,target,original,targetcharacters,originalcharacters,i,v,compact,1)
end
else
stepper(k,function(n)
adapt(list,target,original,targetcharacters,originalcharacters,n,v,compact,1)
end)
end
end
-- elseif t == "table" then
-- for i=1,#t do
-- adapt(list,target,original,targetcharacters,originalcharacters,t[i],v,compact,1)
-- end
end
end
if trace_tweaking and count > 0 then
report_mathtweak("%i dimensions adapted",count)
end
end
end
end
do
function mathtweaks.message(target,original,parameters)
report_mathtweak(parameters.text or "no message")
end
function mathtweaks.showinfo(target,original,parameters)
local mathparameters = target.mathparameters
for k, v in sortedhash(mathparameters) do
report_mathtweak("%s : %s",k,v)
end
end
end
do
function mathtweaks.wipevariants(target,original,parameters)
local list = parameters.list
if list then
local targetcharacters = target.characters
-- local originalcharacters = original.characters
local count = 0
-- local also = getalso(target,original)
local done = false
for k, v in sortedhash(list) do
local ori = targetcharacters[k]
local nxt = ori.next
local cnt = v
if nxt then
local prt = nil
local lst = { }
while nxt do
local chr = targetcharacters[nxt]
lst[#lst+1] = chr
nxt = chr.next
if not nxt then
prt = chr.parts
break
end
end
if prt then
count = count + 1
if cnt ~= "*" then
if #lst < cnt then
cnt = #lst
end
ori = lst[cnt]
end
ori.parts = prt
end
if not trace_tweaking then
done = true
elseif done then
done[k] = true
else
done = { [k] = true }
end
end
end
feedback_tweak("wipevariants",target,original,done)
end
end
end
do
function mathtweaks.replace(target,original,parameters)
local list = parameters.list
if list then
local targetcharacters = target.characters
local originalcharacters = original.characters
local unicodes = original.resources.unicodes
if unicodes then
local count = 0
for k, v in sortedhash(list) do
if type(v) == "string" then
v = unicodes[v]
end
if type(v) == "number" then
targetcharacters[mathgaps[k] or k] = targetcharacters[mathgaps[v] or v]
count = count + 1
end
end
if trace_tweaking and count > 0 then
report_tweak("%i permanent replacements",target,original,count)
end
end
end
end
function mathtweaks.substitute(target,original,parameters)
local list = parameters.list
if list then
local targetcharacters = target.characters
local originalcharacters = original.characters
local getsubstitution = fonts.handlers.otf.getsubstitution
local count = 0
for k, v in next, list do -- no need for sortedhash(list) unless we report
local sub = getsubstitution(original,k,v,true)
if sub then
targetcharacters[mathgaps[k] or k] = targetcharacters[mathgaps[sub] or sub]
count = count + 1
end
end
if trace_tweaking and count > 0 then
report_tweak("%i permanent substitutions",target,original,count)
end
end
end
end
do
-- maybe we'll have a different name
function mathtweaks.kernpairs(target,original,parameters)
local list = parameters.list
if list then
local targetcharacters = target.characters
local originalcharacters = original.characters
local done = false
local function add(v,n)
local chardata = targetcharacters[mathgaps[n] or n]
if chardata then
local width = chardata.width
if width then
local kerns = chardata.kerns or { }
for kk, vv in next, v do
-- for kk, vv in sortedhash(v) do
stepper(kk,function(nn) -- todo: also make stepper accept a table
local t = mathgaps[nn] or nn
if t then
kerns[t] = vv * width
if not trace_tweaking then
done = true
elseif done then
done[t] = true
else
done = { [t] = true }
end
end
end)
end
chardata.kerns = kerns
end
end
end
for k, v in next, list do -- no need for sortedhash(list) unless we report
stepper(k,function(n) -- todo: also make stepper accept a table
add(v,n)
end)
end
-- for k, v in next, list do -- no need for sortedhash(list) unless we report
-- local chardata = targetcharacters[mathgaps[k] or k]
-- if chardata then
-- local width = chardata.width
-- if width then
-- local kerns = chardata.kerns or { }
-- for kk, vv in next, v do
-- local t = mathgaps[kk] or kk
-- if t then
-- kerns[t] = vv * width
-- count = count + 1
-- end
-- end
-- chardata.kerns = kerns
-- end
-- end
-- end
feedback_tweak("kernpairs",target,original,done)
end
end
end
do
local nps = fonts.helpers.newprivateslot
local list = {
{ 0x2032, nps("delimited ghost 0x2032"), 1 },
{ 0x2033, nps("delimited ghost 0x2033"), 2, 0x2032 },
{ 0x2034, nps("delimited ghost 0x2034"), 3, 0x2032 },
{ 0x2057, nps("delimited ghost 0x2057"), 4, 0x2032 },
{ 0x2035, nps("delimited ghost 0x2035"), 1 },
{ 0x2036, nps("delimited ghost 0x2036"), 2, 0x2035 },
{ 0x2037, nps("delimited ghost 0x2037"), 3, 0x2035 },
}
datasets.fixprimes = list
function mathtweaks.fixprimes(target,original,parameters)
local targetcharacters = target.characters
local factor = parameters.factor or 1
local fake = tonumber(parameters.fake)
for i=1,#list do
local entry = list[i]
local unicode = entry[1]
local count = entry[3]
local used = fonts.handlers.otf.getsubstitution(target,unicode,"ssty",true,"math","dflt") or unicode
local data = targetcharacters[used]
if data then
targetcharacters[unicode] = data
local oldheight = data.height or 0
local newheight = factor * oldheight
data.yoffset = newheight - (oldheight or 0)
data.height = newheight
data.smaller = nil
elseif not fake then
report_tweak("missing %i prime %U",target,original,count,unicode)
end
end
if fake then
for i=1,#list do
local entry = list[i]
local count = entry[3]
if count > 1 then
local unicode = entry[1]
local original = entry[4]
local data = targetcharacters[original]
if data then
local oldwidth = data.width
local xoffset = fake * oldwidth
local newwidth = oldwidth + (count - 1) * xoffset
targetcharacters[unicode] = {
width = newwidth,
height = data.height,
unicode = unicode,
commands = {
{ "offset", 0, 0, original },
{ "offset", xoffset, 0, original },
count > 2 and { "offset", 2 * xoffset, 0, original } or nil,
count > 3 and { "offset", 3 * xoffset, 0, original } or nil,
},
}
end
end
end
end
end
function mathtweaks.addprimed(target,original,parameters)
local characters = target.characters
for i=1,#list do
local entry = list[i]
local basecode = entry[1]
local movecode = entry[2]
local basedata = characters[basecode]
if basedata then
local baseheight = basedata.height or 0
local basewidth = basedata.width or 0
local used = baseheight
local total = baseheight
characters[movecode] = { -- todo:share
width = basewidth,
height = used,
unicode = basecode, -- 0xFFFD or space or so
-- callback = "devirtualize",
commands = {
downcommand[used],
{ "rule", used, 0 },
},
}
basedata.partsorientation = "vertical"
basedata.parts = {
{
advance = used,
["end"] = used,
extender = 1,
glyph = movecode,
start = used,
},
{
advance = total,
["end"] = 0,
glyph = basecode,
start = total,
},
}
if trace_tweaking then
report_tweak("primed %U added",target,original,basecode)
end
end
end
end
end
do
local nps = fonts.helpers.newprivateslot
local privates = {
[0x2212] = nps("unary minus"),
[0x002B] = nps("unary plus"),
[0x00B1] = nps("unary plus minus"),
[0x2213] = nps("unary minus plus"),
}
-- these are the values tested with texgyre-bonum
local predefined = {
["unary minus"] = {
original = 0x2212,
extend = .5,
width = .5,
unicode = 0x002D, -- hyphen minus
},
["unary plus"] = {
original = 0x002B,
extend = .5,
squeeze = .5,
width = .5,
height = .5,
yoffset = .2,
mode = 2,
wline = .5,
unicode = 0x002B,
},
["unary plus minus"] = {
original = 0x00B1,
extend = .5,
squeeze = .5,
width = .5,
height = .5,
yoffset = .2,
mode = 2,
wline = .5,
},
["unary minus plus"] = {
original = 0x2213,
extend = .5,
squeeze = .5,
width = .5,
height = .5,
yoffset = .2,
mode = 2,
wline = .5,
},
}
-- {
-- tweak = "addprivates",
-- list = {
-- -- for specific parameters see act file
-- ["unary minus"] = { preset = "unary minus" },
-- ["unary plus"] = { preset = "unary plus" },
-- ["unary plus minus"] = { preset = "unary plus minus" },
-- ["unary minus plus"] = { preset = "unary minus plus" },
-- },
-- },
function mathtweaks.addprivates(target,original,parameters)
local list = parameters.list or predefined
if list then
local targetcharacters = target.characters
local targetparameters = target.parameters
local originalcharacters = original.characters
local processedprivates = { }
for name, v in sortedhash(list) do
if type(v) == "table" then
local preset = v.preset
if preset then
local p = predefined[preset]
if p then
v = table.combine(p,v)
p.preset = nil
else
goto next
end
end
local charslot = v.original
if charslot then
local chardata = targetcharacters[charslot]
if chardata then
local clonedata = copytable(chardata)
local cloneslot = nps(name)
local unicode = v.unicode or clonedata.unicode
clonedata.uncode = unicode
targetcharacters[cloneslot] = clonedata
if trace_tweaking then
report_tweak("cloning %a from %C into %U with tounicode %U",target,original,name,charslot,cloneslot,unicode)
end
end
processedprivates[name] = v
end
::next::
end
end
mathtweaks.dimensions(target,original,{
tweak = parameters.tweak,
list = processedprivates,
})
end
end
end
-- do
--
-- function mathtweaks.fixanchors(target,original,parameters)
-- local targetcharacters= target.characters
-- local factor = tonumber(parameters.factor) or 0
-- if factor ~= 0 then
-- local done = false
-- for k, v in next, targetcharacters do
-- local a = v.topanchor
-- if a and a > 0 then
-- v.topanchor = a * factor
-- count = count + 1
-- if not trace_tweaking then
-- done = true
-- elseif done then
-- done[u] = true
-- else
-- done = { [u] = true }
-- end
-- end
-- end
-- end
-- feedback_tweak("fixanchors",target,original,done)
-- end
--
-- end
-- do
--
-- -- actually this should be a an engine feature driven by category because we don't
-- -- want this in display mode .. only a test for MS and HH
--
-- local issymbol = characters.is_symbol
--
-- function mathtweaks.oldstylemath(target,original,parameters)
-- local chardata = characters.data
-- local characters = target.characters
-- local axis = target.mathparameters.AxisHeight
-- local delta = (parameters.factor or .1) * axis
-- target.mathparameters.AxisHeight = (axis - delta)
-- for k, v in sortedhash(characters) do
-- if issymbol[k] then -- quick hack, engine knows
-- v.yoffset = -delta
-- v.height = (v.height or 0) - delta
-- v.depth = (v.depth or 0) - delta
-- end
-- end
-- end
--
-- function mathtweaks.oldstylemath(target,original,parameters)
-- -- not relevant
-- end
--
-- end
do
function mathtweaks.simplifykerns(target,original,parameters)
local characters = target.characters
local done = false
-- for u, v in sortedhash(characters) do
for u, v in next, characters do
local mathkerns = v.mathkerns
if mathkerns then
local k = mathkerns.topleft
if k then
k = k[#k].kern
if k then
v.topleft = k
end
end
local k = mathkerns.topright
if k then
k = k[#k].kern
if k then
v.topright = k
end
end
local k = mathkerns.bottomleft
if k then
k = k[1].kern -- todo get value at baseline
if k then
v.bottomleft = k
end
end
local k = mathkerns.bottomright
if k then
k = k[1].kern -- todo get value at baseline
if k then
v.bottomright = k
end
end
v.mathkerns = nil
if not trace_tweaking then
done = true
elseif done then
done[u] = true
else
done = { [u] = true }
end
end
end
feedback_tweak("simplifykerns",target,original,done)
end
end
do
local function wipe(whatever,target,original,parameters,field,move,integrals)
local targetcharacters = target.characters
local targetdescriptions = target.descriptions
local factor = target.parameters.factor
local correct = parameters.correct
local done = false
local function getllx(u)
local d = targetdescriptions[u]
if d then
local b = d.boundingbox
if b then
local llx = b[1]
if llx < 0 then
return - llx
end
end
end
return false
end
local function step(s)
while s do
local u = mathgaps[s] or s
local c = targetcharacters[u]
if c then
if field == "topanchor" then
if c.topanchor then
c.topanchor = nil
else
goto smaller
end
else
local okay = false
local italic = c.italic
if move and not c.advance then -- advance check prevents double move
local width = c.width or 0
c.advance = width
if correct then
local llx = getllx(u)
if llx then
local topanchor = c.topanchor
llx = llx * factor
width = width + llx
c.xoffset = llx
if topanchor then
c.topanchor = topanchor + llx
end
-- too bad (schola e^x):
-- c.bottomleft = (c.bottomleft or 0) - llx
-- c.topleft = (c.topleft or 0) - llx
okay = true
end
end
if italic and italic ~= 0 then
c.width = width + italic
c.bottomright = - italic
okay = true
else
c.width = width
end
c.bottomanchor = width/2 -- maybe optional
end
if italic then
c.italic = nil
okay = true
end
if okay then
if not trace_tweaking then
done = true
elseif done then
done[u] = true
else
done = { [u] = true }
end
else
goto smaller
end
end
goto smaller
::smaller::
s = c.smaller
::variants::
-- no italics here anyway but we could check them some day
else
break
end
end
end
local list = parameters.list -- todo: ranges
if list == "letters" or parameters.letters then
local chardata = characters.data
-- for k, v in sortedhash(targetcharacters) do
for k, v in next, targetcharacters do
if v.italic then
local d = chardata[v.unicode]
local c = d and d.category
if c == "ll" or c == "lu" then
step(k)
end
end
end
goto done
end
if not list or list == "all" or list == true or parameters.all then
list = sortedkeys(targetcharacters)
elseif type(list) == "string" then
list = { list }
end
for i=1,#list do
local l = list[i]
local t = type(l)
if not l then
-- can be false
elseif t == "table" then
for i=1,#l do
step(l[i])
end
elseif t == "number" then
step(l)
else
local r = blocks[l]
if r then
for i=r.first,r.last do
step(i)
end
else
stepper(l,step)
end
end
end
::done::
feedback_tweak(whatever,target,original,done)
end
function mathtweaks.wipeanchors(target,original,parameters)
wipe("wipeanchors",target,original,parameters,"topanchor")
end
function mathtweaks.wipeitalics(target,original,parameters)
if not checkitalics then
wipe("wipeitalics",target,original,parameters,"italic")
end
end
function mathtweaks.moveitalics(target,original,parameters)
wipe("moveitalics",target,original,parameters,"italic",true)
end
-- function mathtweaks.fixdigits(target,original,parameters)
-- mathtweaks.fixanchors(target,original,{ list = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 } })
-- end
end
do
function mathtweaks.topanchors(target,original,parameters)
local characters = target.characters
local list = parameters.list
if list then
local done = false
for u, v in sortedhash(list) do
local c = characters[k]
if c then
local w = c.width
if w and w ~= 0 then
c.topanchor = v * w
if trace_tweaking then
-- todo
end
if not trace_tweaking then
done = true
elseif done then
done[u] = true
else
done = { [u] = true }
end
end
end
end
feedback_tweak("topanchors",target,original,done)
end
end
function mathtweaks.movelimits(target,original,parameters)
local characters = target.characters
local list = parameters.list
if list then
local factor = parameters.factor or 1
local also = getalso(target,original)
local done = { }
local function relocate(u,factor)
if done[u] then
return
end
done[u] = true
local c = characters[u]
if c then
local italic = c.italic
if italic then
if italic ~= 0 then
local width = c.width or 0
local half = (italic/2) * factor
c.topanchor = width + half
c.bottomanchor = width - half
c.bottomright = - italic * (parameters.icfactor or 1)
if trace_tweaking then
-- todo
end
end
c.italic = nil
end
local s = c.smaller
if s then
relocate(s,factor)
end
local n = c.next
if n then
relocate(n,factor)
end
-- Kind of tricky: we configure the engine to use the vitalic
-- so when we tweak we need to set that to zero.
local parts = c.parts
local italic = c.partsitalic
if parts and italic then
if italic ~= 0 then
local tchar = characters[parts[#parts].glyph]
local bchar = characters[parts[1].glyph]
local width = tchar.width or 0
local half = (italic/2) * factor
tchar.topanchor = width + half
bchar.bottomanchor = width - half
bchar.bottomright = - italic
if trace_tweaking then
-- todo
end
tchar.italic = nil
bchar.italic = nil
end
c.vitalic = nil
end
if also then
local a = also[u]
if a then
for i=1,#a do
relocate(a[i],factor)
end
end
end
end
end
if #list > 0 then
for i=1,#list do
relocate(list[i],factor)
end
else
for k, v in sortedhash(list) do
relocate(k,tonumber(v) or factor)
end
end
feedback_tweak("movelimits",target,original,done)
end
end
end
do
-- musical timestamp: March 2022, Antonio Sanches (Bad Hombre), live performance in NL
function mathtweaks.kerns(target,original,parameters)
local kerns = parameters.list
if kerns then
local characters = target.characters
local done = false
local function setone(uc,data)
local function set(unicode)
unicode = mathgaps[unicode] or unicode
local chardata = characters[unicode]
if chardata then
local width = chardata.width or 0
local k = data.topleft ; if k and k ~= 0 then chardata.topleft = k * width end
local k = data.topright ; if k and k ~= 0 then chardata.topright = k * width end
local k = data.bottomleft ; if k and k ~= 0 then chardata.bottomleft = k * width end
local k = data.bottomright ; if k and k ~= 0 then chardata.bottomright = k * width end
if not trace_tweaking then
done = true
elseif done then
done[unicode] = true
else
done = { [unicode] = true }
end
end
end
local unicode = detail(characters,uc)
if type(unicode) == "table" then
for i=1,#unicode do
set(unicode[i])
end
elseif unicode then
set(unicode)
end
end
for unicode, data in next, kerns do
setone(unicode,data) -- withscriptcode(tfmdata,unicode,data,kernone)
-- also smaller
end
feedback_tweak("kerns",target,original,done)
end
end
end
do
function mathtweaks.margins(target,original,parameters)
local margins = parameters.list
if margins then
local characters = target.characters
local done = false
local function setone(unicode,data)
unicode = mathgaps[unicode] or unicode
local chardata = characters[unicode]
if chardata then
local width = chardata.width or 0
local total = (chardata.height or 0) + (chardata.depth or 0)
local k = data.left ; if k and k ~= 0 then chardata.leftmargin = k * width end
local k = data.right ; if k and k ~= 0 then chardata.rightmargin = k * width end
local k = data.top ; if k and k ~= 0 then chardata.topmargin = k * total end
local k = data.bottom ; if k and k ~= 0 then chardata.bottommargin = k * total end
if not trace_tweaking then
done = true
elseif done then
done[unicode] = true
else
done = { [unicode] = true }
end
end
end
for unicode, data in next, margins do
setone(unicode,data) -- withscriptcode(tfmdata,unicode,data,kernone)
-- also smaller
end
feedback_tweak("margins",target,original,done)
end
end
end
do
-- musical timestamp: June 2022, Porcupine Tree - Rats Return
-- we can actually share these and flag them as being tweaked
local function scale(t,width,total)
local r = { }
for i=1,#t do
local ti = t[i]
local kern = ti.kern
local height = ti.height
if kern then
kern = width * kern
end
if height then
height = total * height
end
r[i] = {
kern = kern or 0,
height = height or 0,
}
end
return r
end
function mathtweaks.staircase(target,original,parameters)
local kerns = parameters.list
if kerns then
local characters = target.characters
local function kernone(unicode,data)
local chardata = characters[mathgaps[unicode] or unicode]
local total = (chardata.height or 0) + (chardata.depth or 0)
local width = chardata.width or 0
if data then
local tl = data.topleft ; if tl then tl = scale(tl,width,total) end
local tr = data.topright ; if tr then tr = scale(tr,width,total) end
local bl = data.bottomleft ; if bl then bl = scale(bl,width,total) end
local br = data.bottomright ; if br then br = scale(br,width,total) end
chardata.mathkerns = {
topleft = tl,
ropright = tr,
bottomleft = bl,
bottomright = br,
}
else
chardata.mathkerns = nil
end
end
for unicode, data in next, kerns do
kernone(unicode,data) -- withscriptcode(tfmdata,unicode,data,kernone)
-- also smaller
end
end
end
end
do
-- local list = {
-- [0x203E] = { factor = .4 }, -- overbar
-- [0x203E] = { factor = .7 }, -- underbar
-- [0x23DE] = { factor = .4 }, -- overbrace
-- [0x23DF] = { factor = .7 }, -- underbrace
-- [0x23DC] = { factor = .4 }, -- overparent
-- [0x23DD] = { factor = .7 }, -- underparent
-- [0x23B4] = { factor = .4 }, -- overbracket
-- [0x23B5] = { factor = .7 }, -- underbracket
-- }
-- We can patch the dimensions in-place or we can use additional characters in
-- the private namespace.
-- local addprivate = fonts.helpers.addprivate
-- local newnextglyph = addprivate(target,formatters["M-N-%H"](nextglyph),newnextdata)
local nps = fonts.helpers.newprivateslot
local umbracepiece = nps("um brace piece") -- will be created
local lmbracepiece = nps("lm brace piece") -- will be created
local cmbracepiece = nps("cm brace piece") -- will be created : center piece for brace builder hack
local ulbracepiece = nps("ul brace piece")
local urbracepiece = nps("ur brace piece")
local llbracepiece = nps("ll brace piece")
local lrbracepiece = nps("lr brace piece")
local over = { factor = "over" }
local under = { factor = "under" }
local candidates = {
over = {
[0x203E] = over, -- overbar
[0x23DE] = over, -- overbrace
[0x23DC] = over, -- overparent
[0x23B4] = over, -- overbracket
},
under = {
[0x23DF] = under, -- underbrace
[0x23DD] = under, -- underparent
[0x23B5] = under, -- underbracket
},
accent = {
[0x0300] = over, -- widegrave
[0x0308] = over, -- wideddot
[0x0304] = over, -- macron (bar)
[0x0305] = over, -- widebar
[0x0301] = over, -- wideacute
[0x0302] = over, -- widehat
[0x030C] = over, -- widecheck
[0x0306] = over, -- widebreve
[0x0307] = over, -- widedot
[0x030A] = over, -- widering
[0x0303] = over, -- widetilde
[0x20DB] = over, -- widedddot
},
}
datasets.accentdimensions = candidates
local function adapt(c,factor,baseheight,basedepth)
if not c.tweaked then
local height = c.height or 0
local depth = c.depth or 0
local yoffset = 0
if factor == "over" then
local h = height - baseheight
yoffset = h - height
height = h
depth = depth - baseheight
elseif factor == "under" then
local d = depth - basedepth
yoffset = depth - d
depth = d
height = height - baseheight
elseif height > 0 then
local h = tonumber(factor) * height
yoffset = h - height
height = h
elseif depth > 0 then
local d = tonumber(factor) * depth
yoffset = depth - d
depth = d
end
c.yoffset = yoffset ~= 0 and yoffset or nil
c.height = height > 0 and height or nil
c.depth = depth > 0 and depth or nil
c.tweaked = true
end
end
local function process(target,original,characters,list,baseheight,basedepth)
if list then
for k, v in sortedhash(list) do -- sort for tracing
local c = characters[k]
if c and not c.yoffset then
local factor = v.factor
if factor then
adapt(c,factor,baseheight,basedepth)
local nc = c.next
local nv = 0
local ns = 0
while nc do
local c = characters[nc]
if c then
adapt(c,factor,baseheight,basedepth)
nv = nv + 1
nc = c.next
if not nc then
local hv = c.parts
if hv then
for i=1,#hv do
local c = characters[hv[i].glyph]
if c then
adapt(c,factor,baseheight,basedepth)
ns = ns + 1
end
end
end
break
end
else
break
end
end
if trace_tweaking then
report_tweak("adapting extensible (%i sizes, %i parts) %U",target,original,k,nv,ns)
end
end
end
end
end
end
function mathtweaks.accentdimensions(target,original,parameters)
local list = parameters.list or { "over", "under" }
if list then
local characters = target.characters
local baseheight = target.mathparameters.AccentBaseHeight or 0
local basedepth = target.mathparameters.AccentBaseDepth or 0
for k, v in sortedhash(list) do -- sort for tracing
local t = type(v)
if t == "string" then
v = candidates[v]
t = type(v)
end
if t == "table" then
process(target,original,characters,v,baseheight,basedepth)
end
end
end
end
end
do
local addprivate = fonts.helpers.addprivate
local privateslot = fonts.helpers.privateslot
local newprivateslot = fonts.helpers.newprivateslot
function mathtweaks.addrules(target,original,parameters)
local characters = target.characters
local thickness = target.mathparameters.OverbarRuleThickness
local width = target.parameters.emwidth / 2
local width = target.parameters.emwidth / 3
-- local step = 0.8 * width
local step = 0.5 * width
characters[0x203E] = { -- middle used for all kind
width = width,
height = thickness / 2,
depth = thickness / 2,
yoffset = - thickness / 2,
unicode = 0x203E,
commands = { { "rule", thickness, width } },
parts = {
{ advance = width, ["end"] = step, glyph = 0x203E, start = 0 },
{ advance = width, ["end"] = 0, glyph = 0x203E, start = step, extender = 1 },
},
partsorientation = "horizontal",
}
local function build(target,leftarrow,rightarrow)
if leftarrow and rightarrow then
-- actually the same sort of code as we have for antykwa
local left = leftarrow.parts
local right = rightarrow.parts
if left and right then
local leftline = right[1].glyph
local rightline = left [#left].glyph
local leftdata = characters[leftline]
local rightdata = characters[rightline]
local leftwidth = leftdata.width
local rightwidth = rightdata.width
local result = characters[target] -- copytable(leftdata)
if not result or result.width == 0 then
result = {
height = leftdata.height,
depth = leftdata.depth,
width = 0.9*leftwidth + rightwidth,
unicode = target,
commands = {
slotcommand[0][leftline],
leftcommand[0.1*leftwidth],
slotcommand[0][rightline],
},
}
characters[target] = result
end
result.parts = {
{ advance = leftwidth, glyph = leftline, ["end"] = .9*leftwidth, start = 0 },
{ advance = rightwidth, glyph = rightline, ["end"] = .1*leftwidth, start = .9*rightwidth, extender = 1 },
}
result.partsorientation = "horizontal"
end
end
end
build(0x305,characters[0x20D6],characters[0x20D7]) -- overbar accent
build(0x332,characters[0x20EE],characters[0x20EF]) -- underbar accent
--
-- lucida lacks them ...
--
local half = thickness / 2
local double = thickness * 2
--
if not characters[0x23B4] then
local tpiece = addprivate(target,"bracket-piece-top",{
width = thickness,
height = half,
depth = double,
yoffset = - double,
commands = { { "rule", thickness * 2.5, thickness } },
})
characters[0x23B4] = { -- over
-- width = width,
width = 2*thickness+width,
height = half,
depth = double,
unicode = 0x23B4,
commands = {
slotcommand[0][tpiece],
slotcommand[0][0x203E],
slotcommand[0][tpiece],
},
parts = {
{ advance = thickness, glyph = tpiece, ["end"] = 0, start = half },
{ advance = width, glyph = 0x203E, ["end"] = step, start = step, extender = 1 },
{ advance = thickness, glyph = tpiece, ["end"] = half, start = 0 },
},
partsorientation = "horizontal",
}
end
if not characters[0x23B5] then
local bpiece = addprivate(target,"bracket-piece-bottom",{
width = thickness,
height = double,
depth = half,
yoffset = - half,
commands = { { "rule", thickness * 2.5, thickness } },
})
characters[0x23B5] = { -- under
width = 2*thickness+width,
height = double,
depth = half,
unicode = 0x23B5,
commands = {
slotcommand[0][bpiece],
slotcommand[0][0x203E],
slotcommand[0][bpiece],
},
parts = {
{ advance = thickness, glyph = bpiece, ["end"] = 0, start = half },
{ advance = width, glyph = 0x203E, ["end"] = step, start = step, extender = 1 },
{ advance = thickness, glyph = bpiece, ["end"] = half, start = 0 },
},
partsorientation = "horizontal",
}
end
--
end
-- vfmath.builders.extension(target)
local rbe = newprivateslot("radical bar extender")
local fbe = newprivateslot("fraction bar extender")
local frp = {
newprivateslot("flat rule left piece"),
newprivateslot("flat rule middle piece"),
newprivateslot("flat rule right piece"),
}
local rrp = {
newprivateslot("radical rule left piece"),
newprivateslot("radical rule middle piece"),
newprivateslot("radical rule right piece"),
}
local mrp = {
newprivateslot("minus rule left piece"),
newprivateslot("minus rule middle piece"),
newprivateslot("minus rule right piece"),
}
local function useminus(target,unicode,characters,parameters,skipfirst,what,tounicode)
local minus = characters[0x2212]
local parts = minus.parts
if parameters == true then
parameters = { }
end
if parts then
what = copytable(what)
parts = copytable(parts)
local xscale = parameters.xscale or 1 -- why not applied to width ?
local yscale = parameters.yscale or 1
local mwidth = minus.width
local mheight = minus.height
local height = (parameters.height or 1) * mheight
local yshift = (parameters.yoffset or 0) * mheight
local loverlap = parameters.leftoverlap or 0
local roverlap = parameters.rightoverlap or 0
local loffset = parameters.leftoffset or 0
local roffset = parameters.rightoffset or 0
if skipfirst then
remove(parts,1)
remove(what,1)
end
height = height / 2
yshift = yshift + height
for i=1,#parts do
local part = parts[i]
local glyph = part.glyph
local gdata = characters[glyph]
local width = gdata.width
local xshift = 0
if i == 1 and loverlap ~= 0 then
xshift = loverlap * width
width = width - xshift
elseif i == #parts and roverlap ~= 0 then
width = width + roverlap * width
end
characters[what[i]] = {
height = height,
depth = height,
width = width,
advance = gdata.width,
commands = {
leftcommand[xshift],
downcommand[yshift],
{ "slot", 0, glyph, xscale, yscale },
},
}
if part["start"] >= width then
part["start"] = width
end
if part["end"] >= width then
part["end"] = width
end
part.advance = width
part.glyph = what[i]
end
xshift = loffset * mwidth + loverlap * mwidth
width = mwidth - xshift - roffset * mwidth - roverlap * mwidth
characters[unicode] = {
-- base character
height = height,
depth = height,
width = width,
commands = {
leftcommand[xshift],
downcommand[yshift],
{ "slot", 0, 0x2212, xscale, yscale },
},
unicode = tounicode or unicode,
-- extensibles
parts = parts,
partsorientation = "horizontal",
}
end
end
-- add minus parts of not there and create clipped clone
local function checkminus(target,unicode,characters,parameters,skipfirst,what,tounicode)
local minus = characters[unicode]
local parts = minus.parts
if parameters == true then
parameters = { }
end
local p_normal = 0
local p_flat = 0
local mwidth = minus.width
local height = minus.height
local depth = minus.depth
local loffset = parameters.leftoffset or 0
local roffset = parameters.rightoffset or 0
local lshift = mwidth * loffset
local rshift = mwidth * roffset
local width = mwidth - lshift - rshift
if parts then
-- print("minus has parts")
if lshift ~= 0 or width ~= mwidth then
parts = copytable(parts)
for i=1,#parts do
local part = parts[i]
local glyph = part.glyph
local gdata = characters[glyph]
local width = gdata.width
local advance = part.advance
local lshift = 0
if i == 1 and left ~= 0 then
lshift = loffset * width
width = width - lshift
advance = advance - lshift
elseif i == #parts and roffset ~= 0 then
width = width - rshift
advance = advance - rshift
end
characters[what[i]] = {
height = height,
depth = depth,
width = width,
commands = {
leftcommand[lshift],
slotcommand[0][glyph],
-- { "offset", lshift, 0, glyph },
},
}
part.glyph = what[i]
part.advance = advance
end
minus.parts = parts
minus.partsorientation = "horizontal"
end
else
local f_normal = formatters["M-NORMAL-%H"](unicode)
-- local p_normal = hasprivate(main,f_normal)
p_normal = addprivate(target,f_normal,{
height = height,
width = width,
commands = {
push,
leftcommand[lshift],
slotcommand[0][unicode],
pop,
-- { "offset", lshift, 0, unicode },
},
})
-- local step = width/2
local step = .8*width
minus.parts = {
{ extender = 0, glyph = p_normal, ["end"] = step, start = 0, advance = width },
{ extender = 1, glyph = p_normal, ["end"] = step, start = step, advance = width },
{ extender = 0, glyph = p_normal, ["end"] = 0, start = step, advance = width },
}
minus.partsorientation = "horizontal"
end
minus.unicode = tounicode or unicode
end
function mathtweaks.replacerules(target,original,parameters)
local characters = target.characters
local minus = parameters.minus
local fraction = parameters.fraction
local radical = parameters.radical
local stacker = parameters.stacker
if minus then
checkminus(target,0x2212,characters,minus,false,mrp)
end
if fraction then
useminus(target,fbe,characters,fraction,false,frp,0x2044) -- division slash
end
if radical then
if not characters[rbe] then
local skipfirst = true
if radical.skipfirst == false then -- explicit
skipfirst = false
end
useminus(target,rbe,characters,radical,skipfirst,rrp,0x2061) -- apply function
end
end
if stacker then
useminus(target,0x203E,characters,stacker,false,frp)
end
end
local force = false experiments.register("math.arrows", function(v) force = v end)
local function tighten(target,unicode,left,right,squeeze,yoffset)
local name = formatters["math tightened %U %.3N %.3N %.3N %.3N"](unicode,left,right,squeeze,yoffset)
local slot = privateslot(target,name)
if not slot then
local characters = target.characters
local data = copytable(characters[unicode])
local width = data.width
data.advance = width
data.width = width * (1-left-right)
data.xoffset = width * -left
if squeeze ~= 1 then
data.effect = { squeeze = squeeze }
end
if yoffset ~= 0 then
data.yoffset = (data.height or 0) * yoffset
end
slot = addprivate(target,name,data)
end
return slot
end
local function create(target,unicode,list,overloads)
local characters = target.characters
local chardata = characters[unicode]
if chardata then
local endpoint = unicode
while chardata.next do
chardata = characters[chardata.next]
end
if chardata and (force or overloads[unicode] == false or not chardata.parts) then
if not list then
-- chardata.parts = nil -- when we test
-- chardata.parts = { { glyph = unicode } }
else
local overload = overloads[unicode]
local parts = { }
for i=1,#list do
local part = list[i]
local glyph = part.glyph or unicode
local check = overloads[glyph]
local left = (check and check.left ) or part.left or 0
local right = (check and check.right ) or part.right or 0
local squeeze = check and check.squeeze or 1
local yoffset = check and check.yoffset or 0
if left~= 0 or right ~= 0 or squeeze ~= 1 or yoffset ~= 0 then
glyph = tighten(target,glyph,left,right,squeeze,yoffset)
end
local width = characters[glyph].width
local step = width/2
if part.extensible then
parts[#parts+1] = {
advance = width,
glyph = glyph,
["end"] = step,
start = step,
extender = 1,
}
else
parts[#parts+1] = {
advance = width,
glyph = glyph,
["end"] = 0,
start = step,
}
end
end
if #parts == #list then
chardata.parts = parts
chardata.partsorientation = "horizontal"
end
end
end
end
end
-- Unicode math lacks the arrow snippet while it does have fence snippets. Also, some
-- fonts have a relbar that doesn't match the double arrow.
--
-- {
-- tweak = "addarrows",
-- list = { [0x3D] = { squeeze = .85, yoffset = .0975 } }
-- },
--
-- We have no begin and end snippet, so I played with centering and rules at the edges
--
-- [0x21A9] = { -- hookleftarrow
-- { glyph = 0x2212, left = slack, extensible = true },
-- { glyph = 0x21A9, right = slack },
-- { glyph = 0x2212, right = slack, extensible = true },
-- }
--
-- but in the end rejected it.
local function initialize(left, right, slack)
-- We save some space with locals. When no glyph is given the unicode itself is
-- used which also saves some.
local single = { glyph = 0x2212, left = slack, right = slack, extensible = true }
local double = { glyph = 0x003D, left = slack, right = slack, extensible = true }
local triple = { glyph = 0x2261, left = slack, right = slack, extensible = true }
----- spacer = { glyph = 0x0020, left = slack, right = slack, extensible = true }
local slackslack = { left = slack, right = slack }
local leftslack = { left = left, right = slack }
local slackright = { left = slack, right = right }
----- centered = { spacer, { }, spacer }
local centered = false -- the luametatex engine does this
local singleright = { single, slackright }
local leftsingle = { leftslack, single }
return {
--
[0x002D] = { { left = slack, right = slack, glyph = 0x2212 }, single }, -- rel
-- [0x2212] = { { left = slack, right = slack, glyph = 0x2212 }, single }, -- rel
--
[0x2190] = leftsingle, -- leftarrow
[0x219E] = leftsingle, -- twoheadleftarrow
[0x21BC] = leftsingle, -- leftharpoonup
[0x21BD] = leftsingle, -- leftharpoondown
--
[0x2192] = singleright, -- rightarrow
[0x21A0] = singleright, -- twoheadrightarrow
[0x21C0] = singleright, -- rightharpoonup
[0x21C1] = singleright, -- rightharpoondown
--
[0x003D] = { slackslack, double }, -- equaltext
[0x2261] = { slackslack, triple }, -- triplerel
[0x27F8] = { leftslack, double }, -- Leftarrow
[0x27F9] = { double, slackright }, -- Rightarrow
--
[0x21A9] = centered, -- hookleftarrow
[0x21AA] = centered, -- hookrightarrow
[0x21CB] = centered, -- leftrightharpoons
[0x21CC] = centered, -- rightleftharpoons
[0x21C4] = centered, -- rightoverleftarrow
[0x21C6] = centered, -- leftoverrightarrow
[0x21A6] = centered, -- mapsto
--
[0x203E] = { slackslack, { left = slack, right = slack, extensible = true } }, -- bar
--
[0x27F7] = { { glyph = 0x2190, left = left, right = slack }, single, { glyph = 0x2192, left = slack, right = right } }, -- leftrightarrow rightleftarrow
[0x27FA] = { { glyph = 0x27F8, left = left, right = slack }, double, { glyph = 0x27F9, left = slack, right = right } }, -- Leftrightarrow Rightleftarrow
}
end
datasets.addarrows = { }
function mathtweaks.addarrows(target,original,parameters)
local overloads = parameters.list or { } -- { [unicode] = { left = .1, right = .1 } }
local left = parameters.left or 0.05
local right = parameters.right or 0.05
local slack = parameters.slack or 0.1
local arrows = initialize(left,right,slack)
-- inspect(arrows)
for unicode, list in sortedhash(arrows) do
create(target,unicode,list,overloads)
end
datasets.addarrows = sortedkeys(arrows)
if trace_tweaking then
report_tweak("arrows added",target,original)
end
end
end
do -- this could be combined with the previous
function mathtweaks.addparts(target,original,parameters)
local characters = target.characters
local list = parameters.list
if list then
for unicode, data in sortedhash(list) do
local template = data.template
if template then
local source = characters[template]
local target = characters[unicode]
if source and target then
local sequence = data.sequence
if sequence then
local parts = source.parts
if parts then
local p = { }
for i=1,#sequence do
local step = sequence[i]
local glyph = step.glyph
if glyph == "first" or glyph == "last" then
local g = glyph == "first" and 1 or #parts
local c = fastcopy(parts[g])
local f = step.factor
if f then
c["end"] = f * (c["end"] or 0)
c.start = f * (c.start or 0)
end
p[#p+1] = c
else
local c = characters[glyph]
if c then
p[#p+1] = {
glyph = glyph,
advance = c.width,
start = 0,
["end"] = 0,
}
end
end
end
if #p > 0 then
target.parts = p
if not data.horizontal then
target.partsorientation = "vertical"
end
end
end
end
end
end
end
end
end
end
function mathtweaks.action(target,original,parameters)
local action = parameters.action
if type(action) == "function" then
action(target,original,parameters)
end
end
do
local list = {
{ 0x00A0, "s", 1 }, -- nbsp
{ 0x2000, "q", 1/2 }, -- enquad
{ 0x2001, "q", 1 }, -- emquad
{ 0x2002, "q", 1/2 }, -- enspace
{ 0x2003, "q", 1 }, -- emspace
{ 0x2004, "q", 1/3 }, -- threeperemspace
{ 0x2005, "q", 1/4 }, -- fourperemspace
{ 0x2006, "q", 1/6 }, -- sixperemspace
{ 0x2007, "c", byte('0') }, -- figurespace
{ 0x2008, "c", byte('.') }, -- punctuationspace
{ 0x2009, "q", 1/8 }, -- breakablethinspace
{ 0x200A, "q", 1/8 }, -- hairspace
{ 0x200B, "q", 0 }, -- zerowidthspace
{ 0x202F, "q", 1/8 }, -- narrownobreakspace
{ 0x205F, "s", 1/2 }, -- math thinspace
}
datasets.checkspacing = list
function mathtweaks.checkspacing(target,original,parameters)
local characters = target.characters
local parameters = target.parameters
for i=1,#list do
local entry = list[i]
local unicode = entry[1]
local data = characters[unicode]
if not data then
local method = entry[2]
local fraction = entry[3]
local width = 0
local height = 0
-- local depth = 0
if method == "c" then
local template = characters[fraction]
width = template.width
height = template.height
-- depth = template.depth
elseif method == "s" then
width = fraction * parameters.space -- space
height = 0
-- depth = 0
else
width = fraction * parameters.quad -- quad
height = 0
-- depth = 0
end
if trace_tweaking then
report_tweak("setting width of %U to %p",target,original,unicode,width)
end
characters[unicode] = {
width = width,
-- advance = width,
height = height,
-- depth = depth,
unicode = unicode,
commands = {
-- { "slot", 0, 32 },
},
}
end
end
end
end
do
-- mirror
-- smaller
local nps = fonts.helpers.newprivateslot
local radicalbarextender = nps("radical bar extender") -- we reserve it here
local list = {
0x221A,
}
local function fix(target,original,characters,unicode)
local data = characters[unicode]
if data then
local height = data.height or 0
local depth = data.depth or 0
if depth > height then
if trace_tweaking then
report_tweak("swapping height and depth of radical %U",target,original,unicode)
end
data.height = depth
data.depth = height
if data.rorrim then
-- the original does the magic
else
data.yoffset = depth - height
end
end
local smaller = data.smaller
if smaller then
fix(target,original,characters,smaller)
end
local mirror = data.mirror
if mirror then
fix(target,original,characters,mirror)
end
end
end
function mathtweaks.fixradicals(target,original,parameters)
local characters = target.characters
for i=1,#list do
local unicode = list[i]
fix(target,original,characters,unicode)
end
end
local function fix(target,original,characters,u,l)
local data = characters[u]
if data then
-- data.innerlocation = l.location == "right" and 2 or 1
data.innerlocation = l.location == "right" and "right" or "left"
data.innerxoffset = (l.hfactor or 1) * (data.width or 0)
data.inneryoffset = (l.vfactor or 1) * ((data.height or 0) + (data.depth or 0))
end
end
function mathtweaks.radicaldegreeanchors(target,original,parameters)
local list = parameters.list
if list then
local characters = target.characters
for unicode, l in sortedhash(list) do -- resolve variants
local u = detail(characters,unicode) or unicode
if type(u) == "table" then
for i=1,#u do
fix(target,original,characters,u[i],l)
end
else
fix(target,original,characters,u,l)
end
end
end
end
end
do
local done = nil
local function fix(target,original,characters,unicode,axis)
if done[unicode] then
return
end
done[unicode] = true
local data = characters[unicode]
if data then
local height = data.height or 0
local depth = data.depth or 0
if trace_tweaking then
report_tweak("swapping height and depth of %U",target,original,unicode)
end
local half = (height + depth)/2
if data.rorrim then
-- the original does the magic
else
data.yoffset = depth - (half - axis)
end
height = half + axis
depth = half - axis
data.height = height
data.depth = depth
local smaller = data.smaller
if smaller then
fix(target,original,characters,smaller,axis)
end
local mirror = data.mirror
if mirror then
fix(target,original,characters,mirror,axis)
end
local next = data.next
if next then
fix(target,original,characters,next,axis)
end
end
end
function mathtweaks.fixoldschool(target,original,parameters)
local characters = target.characters
local list = mathtweaks.subsets.integrals
local also = getalso(target,original)
local axis = target.mathparameters.AxisHeight
done = { }
for i=1,#list do
local unicode = list[i]
fix(target,original,characters,unicode,axis)
end
if also then
local a = also[u]
if a then
for i=1,#a do
fix(target,original,characters,a[i],axis)
end
end
end
done = nil
end
-- After the next one I rewarded myself by (again) watching Joe Parrish interpretation
-- of Shostakovich 10 Mvmt. II - Metal several times (video on yt, track on bandcamp)
-- ... timestamp: awaiting the new Albion (Official) single; their work comes in parts.
function mathtweaks.fixintegrals(target,original,parameters)
local characters = target.characters
local integral = characters[0x222B]
if integral and not integral.parts then
local top = characters[0x2320]
local mid = characters[0x23AE]
local bot = characters[0x2321]
if top and mid and bot then
top = top.height
mid = mid.height
bot = bot.height
integral.partsitalic = integral.italic
integral.parts = {
{ advance = bot, ["end"] = bot/3, glyph = 0x2321, start = bot/3 },
{ advance = mid, ["end"] = mid/2, glyph = 0x23AE, start = mid/2, extender = 1 },
{ advance = top, ["end"] = top/3, glyph = 0x2320, start = top/3 },
}
integral.partsorientation = "vertical"
if trace_tweaking then
report_tweak("fixing the integral extensible",target,original)
end
end
else
report_tweak("no need to fix the integral extensible",target,original)
end
end
end
do
local list = { 0x2061, 0x2062, 0x2063, 0x2064 }
datasets.wipecues = list
function mathtweaks.wipecues(target,original,parameters)
local characters = target.characters
local tobewiped = parameters.list or list
local done = false
for i=1,#tobewiped do
local unicode = tobewiped[i]
characters[unicode] = {
width = 0,
height = 0,
depth = 0,
unicode = unicode,
}
if not trace_tweaking then
done = true
elseif done then
done[unicode] = true
else
done = { [unicode] = true }
end
end
feedback_tweak("wipecues",target,original,done)
end
end
do
local mapping = {
[0x002F] = 0x2044,
}
datasets.fixslashes = mapping
function mathtweaks.fixslashes(target,original,parameters)
local characters = target.characters
-- local done = false
for normal, weird in sortedhash(mapping) do
local normalone = characters[normal]
local weirdone = characters[weird]
if normalone and weirdone and not normalone.next then
normalone.next = weirdone.next
-- if not trace_tweaking then
-- done = true
-- elseif done then
-- done[normal] = true
-- else
-- done = { [normal] = true }
-- end
end
weirdone = copytable(normalone)
characters[weird] = weirdone
weirdone.unicode = weird
end
-- feedback_tweak("fixslashes",target,original,done)
if trace_tweaking then
report_tweak("slashes fixed",target,original)
end
end
end
do -- see pagella for an extensive example
local nps = fonts.helpers.newprivateslot
local mapping = {
[0x0300] = { 0x0060, false },
[0x0308] = { 0x00A8, false },
[0x0304] = { 0x00AF, false }, -- 305
[0x0301] = { 0x00B4, false },
[0x0302] = { 0x02C6, true },
[0x030C] = { 0x02C7, true },
[0x0306] = { 0x02D8, false },
[0x0307] = { 0x02D9, false },
[0x030A] = { 0x02DA, false },
[0x0303] = { 0x02DC, true },
[0x20DB] = { 0x20DB, false },
-- [0x20EF] = { 0x20EF, false },
}
datasets.fixaccents = mapping
datasets.extendaccents = mapping
datasets.flattenaccents = mapping
datasets.copyaccents = mapping
-- local flat = stretchingdata.flataccent
-- if flat then
-- -- Nasty! xoffset needed. Check this when we patch vf.
-- local flatdata = characters[flat]
-- flatdata.width = width
-- flatdata.advance = 0
-- flatdata.topanchor = topanchor
-- flatdata.xoffset = width + topanchor
-- end
local cdata = characters.data
function mathtweaks.fixaccents(target,original,parameters)
local characters = target.characters
local done = false
for stretching, entry in sortedhash(mapping) do
local alias = entry[1]
local stretchingdata = characters[stretching]
if stretchingdata and stretchingdata.width == 0 then
if false then
local b = target.descriptions[stretching].boundingbox
if b then
local llx = b[1] * target.parameters.hfactor
local urx = b[3] * target.parameters.hfactor
width = urx - llx
stretchingdata.width = width
stretchingdata.xoffset = - llx
stretchingdata.advance = urx
stretchingdata.topanchor = width/2
stretchingdata.bottomanchor = width/2
end
else
local topanchor = stretchingdata.topanchor or 0
local width = -topanchor
topanchor = width/2
stretchingdata.width = width
stretchingdata.advance = 0
stretchingdata.topanchor = topanchor
stretchingdata.commands = { rightcommand[width + topanchor], charcommand[stretching] }
end
if not trace_tweaking then
done = true
elseif done then
done[stretching] = true
else
done = { [stretching] = true }
end
end
end
feedback_tweak("fixaccents",target,original,done)
end
function mathtweaks.checkaccents(target,original,parameters)
local characters = target.characters
local done = false
local factor = target.parameters.hfactor
for unicode, data in sortedhash(characters) do
local width = data.width
if width == 0 then
local d = chardata[data.unicode or unicode]
local c = d and d.category
if c == "mn" or c == "sk" or c == "lm" then -- we can probably can go
local b = target.descriptions[unicode].boundingbox
if b then
local topanchor = data.topanchor or 0
local llx = b[1] * factor
local urx = b[3] * factor
-- if topanchor < 0 then
if true then
-- width = - topanchor
width = 2 * (topanchor - llx)
-- data.commands = {
-- -- rightcommand[width+width/2],
-- rightcommand[-llx],
-- slotcommand[0][unicode]
-- }
data.xoffset = -llx
else
width = urx - llx
-- data.advance = urx
data.commands = {
leftcommand[llx],
slotcommand[0][unicode]
}
end
data.width = width
data.topanchor = width/2
data.bottomanchor = width/2
end
if not trace_tweaking then
done = true
elseif done then
done[unicode] = true
else
done = { [unicode] = true }
end
end
end
end
feedback_tweak("checkaccents",target,original,done)
end
-- all true|number false
function mathtweaks.extendaccents(target,original,parameters)
local characters = target.characters
local all = parameters.all
local count = tonumber(all)
local done = false
for stretching, entry in sortedhash(mapping) do
local extend = entry[2]
if extend then
local last = characters[stretching]
local cnt = 1
local okay = false
while last do
if all or (count and cnt > count) then
last.extensible = true
local flataccent = last.flataccent
if flataccent then
characters[flataccent].extensible = true
okay = true
end
end
local n = last.next
if n then
last = characters[n]
else
last.extensible = true
local flataccent = last.flataccent
if flataccent then
characters[flataccent].extensible = true
okay = true
end
break
end
cnt = cnt + 1
end
if okay then
if not trace_tweaking then
done = true
elseif done then
done[stretching] = true
else
done = { [stretching] = true }
end
end
end
end
feedback_tweak("extendaccents",target,original,done)
end
-- force true false
-- height factor 0.8
-- offset factor 0.9|calculated
-- squeeze factor 0.1|calculated
local f_flat = formatters["flat accent %05X"]
function mathtweaks.flattenaccents(target,original,parameters)
local characters = target.characters
local force = parameters.force
local squeeze = parameters.squeeze or 0.85
local ofactor = parameters.offset or (squeeze/8.5)
local hfactor = parameters.height or 0.95 -- (1 - ofactor)
local done = false
for stretching, entry in sortedhash(mapping) do
local code = stretching
local last = characters[stretching]
while last do
if force or not last.flataccent then
local slot = nps(f_flat(code))
local height = last.height or 0
-- print(last.width/65536,code,slot)
-- data.effect = { squeeze = squeeze }
characters[slot] = {
width = last.width,
depth = last.depth,
height = last.height * hfactor,
topanchor = last.topanchor,
bottomanchor = last.bottomanchor,
commands = { { "offset", 0, ofactor * height, code, 1, squeeze } },
-- commands = { slotcommand[0][code] },
-- effect = { squeeze = squeeze },
-- next = last.next,
unicode = last.unicode,
}
-- if code == 770 then
-- inspect(last)
-- end
last.flataccent = slot
if not trace_tweaking then
done = true
elseif done then
done[stretching] = true
else
done = { [stretching] = true }
end
end
code = last.next
if code then
last = characters[code]
else
break
end
end
end
feedback_tweak("flattenaccents",target,original,done)
end
function mathtweaks.copyaccents(target,original,parameters)
local characters = target.characters
local done = false
for stretching, entry in sortedhash(mapping) do
local alias = entry[1]
if alias ~= stretching then
local stretchingdata = characters[stretching]
if stretchingdata then
-- we need to nil [x|y]offsets
characters[alias] = {
width = stretchingdata.width,
height = stretchingdata.height,
depth = stretchingdata.depth,
next = stretchingdata.next,
-- commands = { charcommand[stretching] },
commands = stretchingdata.commands or { charcommand[stretching] },
topanchor = stretchingdata.topanchor,
-- unicode = stretching, -- when we alias to combiners
unicode = alias, -- when we keep the original
}
if not trace_tweaking then
done = true
elseif done then
done[stretching] = true
else
done = { [stretching] = true }
end
end
end
end
feedback_tweak("copyaccents",target,original,done)
end
function mathtweaks.keepbases(target,original,parameters)
local characters = target.characters
local done = false
local list = parameters.list
if list == "default" then
list = sortedkeys(mapping)
end
if list and #list > 0 then
for i=1,#list do -- assumes sorting
local unicode = list[i]
local chardata = characters[unicode]
if chardata then
chardata.keepbase = true
if not trace_tweaking then
done = true
elseif done then
done[unicode] = true
else
done = { [unicode] = true }
end
end
end
else
-- maybe also hash
end
feedback_tweak("keepbases",target,original,done)
end
end
do
function mathtweaks.inspect(target,original,parameters)
local characters = target.characters
local slot = parameters.slot or parameters.unicode
if slot then
-- todo: show unicode
report_math(formatters["%C data:"](slot))
inspect(characters[slot])
end
end
end
-- do
--
-- local single <const> = 0x003D
-- local double <const> = 0x2A75
-- local triple <const> = 0x2A76
--
-- function mathtweaks.addequals(target,original,parameters)
-- local characters = target.characters
-- local basechar = characters[single]
-- local width = basechar.width
-- local height = basechar.height
-- local depth = basechar.depth
-- local advance = (parameters.advance or 1/20) * width
-- local char = charcommand[single]
-- local left = leftcommand[advance]
-- characters[double] = {
-- unicode = double,
-- width = 2*width - 1*advance,
-- height = height,
-- depth = depth,
-- commands = { char, left, char },
-- }
-- characters[triple] = {
-- unicode = triple,
-- width = 3*width - 2*advance,
-- height = height,
-- depth = depth,
-- commands = { char, left, char, left, char },
-- }
-- if trace_tweaking then
-- report_tweak("double %U and triple %U equals added",target,original,double,triple)
-- end
-- end
--
-- end
do
local function jointwo(characters,force,unicode,ds,u1,d12,u2)
if force or not characters[unicode] then
local c1 = characters[u1]
local c2 = characters[u2]
if c1 and c2 then
local w1 = c1.width
local w2 = c2.width
local width
if d12 == false then
d12 = 0
width = w2
elseif d12 < 0 then
d12 = d12 * w2
width = w2
else
d12 = d12 * ds
width = w1 + w2 - d12
end
characters[unicode] = {
unicode = unicode,
width = width,
height = max(c1.height or 0, c2.height or 0),
depth = max(c1.depth or 0, c2.depth or 0),
keepvirtual = true,
commands = {
-- { "inspect" },
-- { "trace" },
slotcommand[0][u1],
-- { "trace" },
d12 ~= 0 and leftcommand[d12] or false,
slotcommand[0][u2],
-- { "trace" },
},
}
end
end
end
local function jointhree(characters,force,unicode,ds,u1,d12,u2,d23,u3)
if force or not characters[unicode] then
local c1 = characters[u1]
local c2 = characters[u2]
local c3 = characters[u3]
if c1 and c2 and c3 then
local w1 = c1.width
local w2 = c2.width
local w3 = c3.width
d12 = d12 * ds
d23 = d23 * ds
characters[unicode] = {
unicode = unicode,
width = w1 + w2 + w3 - d12 - d23,
height = max(c1.height or 0, c2.height or 0, c3.height or 0),
depth = max(c1.depth or 0, c2.depth or 0, c3.depth or 0),
commands = {
slotcommand[0][u1],
d12 ~= 0 and leftcommand[d12] or false,
slotcommand[0][u2],
d23 ~= 0 and leftcommand[d23] or false,
slotcommand[0][u3],
}
}
end
end
end
function mathtweaks.addequals(target,original,parameters)
local characters = target.characters
local step = target.parameters.size/18
local force = parameters.force
force = true
jointwo (characters,force,0x2254,step,0x03A,0,0x03D) -- :=
jointhree(characters,force,0x2A74,step,0x03A,0,0x03A,0,0x03D) -- ::=
jointwo (characters,force,0x2A75,step,0x03D,0,0x03D) -- ==
jointhree(characters,force,0x2A76,step,0x03D,0,0x03D,0,0x03D) -- ===
end
end
do
-- If we really want, we can have variants that also match radicals but in practice
-- radicals and actuarians are never seen together. We could also have a smaller
-- extender.
local nps = fonts.helpers.newprivateslot
local radical <const> = 0x0221A
local actuarian <const> = nps("delimited right annuity") -- 0x020E7
local nairautca <const> = nps("delimited left annuity" )
local placehold <const> = nps("delimited ghost annuity")
function mathtweaks.addactuarian(target,original,parameters)
local characters = target.characters
local parameters = target.parameters
local linewidth = target.MathConstants.RadicalRuleThickness -- make option
local basechar = characters[radical]
local baseheight = (basechar.height or 0)/2
local basedepth = (basechar.depth or 0)/2
local basetotal = baseheight + basedepth
local used = baseheight
--
characters[0x020E7] = {
width = 6*linewidth,
height = baseheight,
depth = basedepth,
unicode = actuarian,
callback = "devirtualize",
commands = {
upcommand[baseheight-4*linewidth],
{ "rule", linewidth, 4*linewidth },
downcommand[basetotal/2-linewidth],
{ "rule", basetotal/2, linewidth },
},
}
--
characters[actuarian] = {
width = 2*linewidth,
height = baseheight,
depth = basedepth,
unicode = actuarian,
callback = "devirtualize",
commands = {
downcommand[basedepth],
{ "rule", basetotal, linewidth },
},
parts = {
{
advance = basetotal,
["end"] = used,
glyph = actuarian,
start = 0,
},
{
advance = basetotal,
["end"] = 0,
extender = 1,
glyph = actuarian,
start = used,
},
}
}
characters[placehold] = {
width = 2*linewidth,
height = baseheight,
depth = basedepth,
unicode = actuarian, -- whatever
callback = "devirtualize",
commands = {
rightcommand[linewidth],
downcommand[basedepth],
{ "rule", basetotal, 0 },
},
}
characters[nairautca] = {
width = 2*linewidth,
height = baseheight,
depth = basedepth,
unicode = actuarian, -- whatever
callback = "devirtualize",
-- commands = {
-- rightcommand[linewidth],
-- downcommand[basedepth],
-- { "rule", basetotal, linewidth },
-- },
commands = {
rightcommand[linewidth],
upcommand[baseheight-4*linewidth],
{ "rule", 4*linewidth, linewidth },
},
parts = {
{
advance = basetotal,
["end"] = used,
extender = 1,
glyph = placehold,
start = 0,
},
{
advance = basetotal,
["end"] = 0,
glyph = nairautca,
start = used,
},
}
}
if trace_tweaking then
report_tweak("actuarian %U added",target,original,actuarian)
end
end
end
do
-- todo: make callback because we can delay it but then we need to stack
-- callbacks
local nps = fonts.helpers.newprivateslot
local list = {
-- { 0x0300, nps("delimited right grave"), nps("delimited ghost grave") },
{ 0x0308, nps("delimited right ddot"), nps("delimited ghost ddot") },
{ 0x0304, nps("delimited right bar"), nps("delimited ghost bar") },
-- { 0x0301, nps("delimited right acute"), nps("delimited ghost acute") },
{ 0x0302, nps("delimited right hat"), nps("delimited ghost hat") },
{ 0x030C, nps("delimited right check"), nps("delimited ghost check") },
{ 0x0306, nps("delimited right breve"), nps("delimited ghost breve") },
{ 0x0307, nps("delimited right dot"), nps("delimited ghost dot") },
{ 0x030A, nps("delimited right ring"), nps("delimited ghost ring") },
{ 0x0303, nps("delimited right tilde"), nps("delimited ghost tilde") },
{ 0x20DB, nps("delimited right dddot"), nps("delimited ghost dddot") },
{ 0x231C, nps("delimited left upper corner"), nps("delimited ghost upper corner") },
{ 0x231D, nps("delimited right upper corner"), nps("delimited ghost upper corner") },
{ 0x231E, nps("delimited left lower corner"), nps("delimited ghost lower corner"), true },
{ 0x231F, nps("delimited right lower corner"), nps("delimited ghost lower corner"), true },
-- If needed we can have an installer:
{ 0x2020, nps("delimited right dagger"), nps("delimited ghost dagger") },
{ 0x2021, nps("delimited right ddagger"), nps("delimited ghost ddagger") },
{ 0x2217, nps("delimited right ast"), nps("delimited ghost ast") },
{ 0x22C6, nps("delimited right star"), nps("delimited ghost star") },
{ 0x2020, nps("delimited right dagger 1"), nps("delimited ghost dagger 1"), false, 1 },
{ 0x2021, nps("delimited right ddagger 1"), nps("delimited ghost ddagger 1"), false, 1 },
{ 0x2217, nps("delimited right ast 1"), nps("delimited ghost ast 1"), false, 1 },
{ 0x22C6, nps("delimited right star 1"), nps("delimited ghost star 1"), false, 1 },
}
function mathtweaks.addfourier(target,original,parameters)
local characters = target.characters
for i=1,#list do
local entry = list[i]
local basecode = entry[1]
local fouriercode = entry[2]
local movecode = entry[3]
local reverse = entry[4]
local size = entry[5] or 0
local basechar = characters[basecode]
local compactscale = 1
if basechar and target.properties.compactmath and size > 0 then
compactscale = target.parameters[size > 1 and "scriptscriptscale" or "scriptscale"] / 1000
for i=1,size do
basecode = basechar.smaller or basecode
basechar = characters[basecode]
end
end
if basechar then
local scale = (parameters.scale or 1) * compactscale
local variant = parameters.variant
if variant then
for i=1,variant do
local okay = basechar.next
if okay then
basecode = okay
basechar = characters[basecode]
else
break
end
end
end
local baseheight = scale * (basechar.height or 0)
local basedepth = scale * (basechar.depth or 0)
local basewidth = scale * (basechar.width or 0)
local used = baseheight/2
local total = baseheight + basedepth
if reverse then
used = total / 2 -- basedepth / 2
end
characters[movecode] = {
width = basewidth,
height = used,
unicode = basecode,
-- callback = "devirtualize",
commands = {
downcommand[used],
{ "rule", used, 0 },
},
}
local parts = {
{
advance = used,
["end"] = used,
extender = 1,
glyph = movecode,
start = used,
},
{
advance = total,
["end"] = 0,
glyph = fouriercode,
start = total,
},
}
if reverse then
parts[1], parts[2] = parts[2], parts[1]
end
characters[fouriercode] = {
width = basewidth,
height = baseheight,
depth = basedepth,
unicode = basecode,
-- callback = "devirtualize",
commands = {
scale == 1 and charcommand[basecode] or { "slot", 0, basecode, scale, scale },
},
partsorientation = "vertical",
parts = parts,
}
if trace_tweaking then
report_tweak("fourier %U added using %U",target,original,basecode,fouriercode)
end
end
end
end
end
do
-- \im{\left\Uchar"007C \frac{1}{2} \right\Uchar"007C}
-- \im{\left\Uchar"2016 \frac{1}{2} \right\Uchar"2016}
-- \im{\left\Uchar"2980 \frac{1}{2} \right\Uchar"2980}
local single <const> = 0x007C
local double <const> = 0x2016
local triple <const> = 0x2980
local function variantlist(unicode,chardata,total,used)
chardata.varianttemplate = 0x0028
chardata.parts = {
{
advance = total,
["end"] = used,
glyph = unicode,
start = 0,
-- start = used/5,
},
{
advance = total,
-- ["end"] = 0,
["end"] = used/5, -- prevents small gap with inward curved endpoints
extender = 1,
glyph = unicode,
start = used,
},
}
chardata.partsorientation = "vertical"
end
function mathtweaks.addbars(target,original,parameters)
local characters = target.characters
local basechar = characters[single]
local width = basechar.width
local height = basechar.height
local depth = basechar.depth
local advance = (parameters.advance or 1/10) * width
local used = 1.2*height -- large overlap because no smaller pieces
local total = height + depth
--
-- variantlist(characters,single,basechar,"single bar",total,used)
variantlist(single,basechar,total,used)
--
basechar = {
unicode = double,
width = 2*width - 1*advance,
height = height,
depth = depth,
-- callback = "devirtualize",
commands = {
charcommand[single],
leftcommand[advance],
charcommand[single],
},
}
characters[double] = basechar
-- variantlist(characters,double,basechar,"double bar",total,used)
variantlist(double,basechar,total,used)
--
basechar = {
unicode = triple,
width = 3*width - 2*advance,
height = height,
depth = depth,
-- callback = "devirtualize",
commands = {
charcommand[single],
leftcommand[advance],
charcommand[single],
leftcommand[advance],
charcommand[single],
},
}
characters[triple] = basechar
-- variantlist(characters,triple,basechar,"triple bar",total,used)
variantlist(triple,basechar,total,used)
--
if trace_tweaking then
report_tweak("single, double and triple bars added",target,original)
end
end
end
do
-- lucida: \im{\cdot \ldot \cdots \ldots}
local snormal <const> = 0x002E
local sraised <const> = 0x22C5
local tnormal <const> = 0x2026
local traised <const> = 0x22EF
function mathtweaks.fixellipses(target,original,parameters)
local characters = target.characters
local function fix(normal,raised)
local normaldata = characters[normal]
if normaldata then
local raiseddata = copytable(normaldata)
characters[raised] = raiseddata
raiseddata.unicode = raised
local height = raiseddata.height
local yoffset = (parameters.yoffset or 2) * height
raiseddata.yoffset = yoffset
raiseddata.height = height + yoffset
if trace_tweaking then
report_tweak("taking %U from %U",target,original,raised,normal)
end
end
end
fix(snormal,sraised)
fix(tnormal,traised)
end
end
do
-- For Ton, who needs the high minus and plus for calculator signs in Dutch
-- school math books.
local list = {
{ 0x207A, 0x002B, true },
{ 0x207B, 0x2212, true },
{ 0x208A, 0x002B, false },
{ 0x208B, 0x2212, false },
}
datasets.addscripts = list
local function add(target,original,characters,unicode,template,super,baseheight,scale)
if not characters[unicode] then
local origdata = characters[template]
if origdata then
local width = scale * (origdata.width or 0)
local height = scale * (origdata.height or 0)
local depth = scale * (origdata.depth or 0)
local half = - (height + depth) / 2
local offset = super and baseheight/2 or -baseheight/4
characters[unicode] = {
width = width,
height = height + offset,
depth = depth - offset,
unicode = unicode,
commands = {
{ "offset", 0, offset, template, scale, scale }
},
}
if trace_tweaking then
report_tweak("adding script %U scaled %0.3f",target,original,unicode,scale)
end
-- no need for smaller
end
end
end
function mathtweaks.addscripts(target,original,parameters)
local characters = target.characters
local baseheight = target.mathparameters.AccentBaseHeight
local scaledown = parameters.scale or target.mathparameters.ScriptScriptPercentScaleDown / 100
for i=1,#list do
local entry = list[i]
if entry then
add(target,original,characters,entry[1],entry[2],entry[3],baseheight,scaledown)
end
end
end
end
do
function mathtweaks.sortvariants(target,original,parameters)
local list = parameters.list
if list then
local characters = target.characters
local horizontal = parameters.orientation == "horizontal"
for i=1,#list do
local u = list[i]
local c = characters[u]
if c then
local t = { }
while true do
local n = c.next
if n then
c = characters[n]
end
if c and not c.parts then
if horizontal then
t[c.width or 0] = n
else
t[(c.height or 0) + (c.depth or 0)] = n
end
else
break
end
end
local c = characters[u]
for k, v in sortedhash(t) do
c.next = v
c = characters[v]
end
end
end
end
end
end
do
-- We started with the list that xits has in rtlm but most of them can be derived from
-- the database, and others need to be added.
-- Checked while watching/listening to Dave Matthews Band: The Central Park Concert
-- (with superb solos by Warren Haynes), a DVD I bought around when we started with the
-- LUATEX advanture.
local mirrors = {
[0x0002F] = true, -- slashes
[0x0005C] = true,
[0x000F7] = true,
[0x02044] = true,
[0x02215] = true,
[0x02032] = true, -- primes
[0x02033] = true,
[0x02034] = true,
[0x02057] = true,
[0x02035] = true,
[0x02036] = true,
[0x02037] = true,
[0x0221A] = true, -- radicals
[0x0221B] = true,
[0x0221C] = true,
[0x0221D] = true,
[0x0222B] = true, -- integrals
[0x0222C] = true,
[0x0222D] = true,
[0x0222E] = true,
[0x0222F] = true,
[0x02230] = true,
[0x02231] = true,
[0x02232] = true,
[0x02233] = true,
[0x02A0A] = true, -- seen in xits (to be checked)
[0x02A0B] = true,
[0x02A0C] = true,
[0x02A0D] = true,
[0x02A0E] = true,
[0x02140] = true,
[0x02201] = true,
[0x02202] = true,
[0x02203] = true,
[0x02204] = true,
[0x02211] = true,
[0x02239] = true,
[0x0225F] = true,
[0x0228C] = true,
[0x022A7] = true,
[0x022AA] = true,
[0x022AC] = true,
[0x022AD] = true,
[0x022AE] = true,
[0x022AF] = true,
[0x022F5] = true,
[0x022F8] = true,
[0x022F9] = true,
[0x022FF] = true,
[0x02320] = true,
[0x02321] = true,
[0x027C0] = true,
[0x029DC] = true,
[0x029F4] = true,
[0x02A0F] = true,
[0x02A10] = true,
[0x02A11] = true,
[0x02A12] = true,
[0x02A13] = true,
[0x02A14] = true,
[0x02A15] = true,
[0x02A16] = true,
[0x02A17] = true,
[0x02A18] = true,
[0x02A19] = true,
[0x02A1A] = true,
[0x02A1B] = true,
[0x02A1C] = true,
[0x02A20] = true,
[0x02A74] = true,
[0x02AA3] = true,
[0x02AE2] = true,
[0x02AE6] = true,
[0x1D715] = true,
}
local new = fonts.helpers.newprivateslot
local function add(target,original,characters,unicode,what)
local data = characters[unicode]
if data then
if not data.mirror then
local slot = new("mirror."..unicode)
local mirror = copytable(data)
data.mirror = slot
mirror.rorrim = unicode -- so we can check later
mirror.commands = {
{ "offset", data.width, 0, unicode, -1, 1 }
}
if trace_tweaking then
report_tweak("adding mirror %U (%s)",target,original,unicode,what)
end
characters[slot] = mirror
elseif trace_tweaking then
report_tweak("skipping mirror %U (%s)",target,original,unicode,what)
end
local parts = data.parts
if parts then
for i=1,#parts do
add(target,original,characters,parts[i],"hpart")
end
end
local smaller = data.smaller
if smaller then
add(target,original,characters,"smaller")
end
local next = data.next
if next then
if next == unicode then
report_tweak("skipping cyclic %U (%s)",target,original,unicode,"next")
else
add(target,original,characters,next,"next")
end
end
end
end
-- todo: also check the rtlm table if present
function mathtweaks.addmirrors(target,original,parameters)
local characters = target.characters
-- for unicode, detail in sortedhash(characters) do
for unicode, detail in next, characters do
local data = chardata[unicode]
if data and data.mirror then
add(target,original,characters,unicode,"mirror")
end
end
for unicode, detail in sortedhash(mirrors) do
if characters[unicode] then
add(target,original,characters,unicode,"character")
elseif trace_tweaking then
report_tweak("ignoring mirror %U (%s)",target,original,unicode,what)
end
end
end
end
do
local reported = { }
function mathtweaks.version(target,original,parameters)
local metadata = original.shared.rawdata.metadata
if metadata then
local version = string.strip(metadata.version or "") -- some have trailing spaces
if version then
local expected = parameters.expected
local fontname = metadata.fontname or false
local message = parameters.message
-- version = tonumber(string.match(version,"%d+.%d+"))
if version ~= expected and not reported[fontname] then
report_tweak("version %a found, version %a expected",target,original,version,expected)
elseif trace_tweaking then
report_tweak("version %a found",target,original,version)
end
if message and message ~= "" and not reported[fontname] then
report_tweak()
report_tweak("%s",target,original,message)
report_tweak()
end
reported[fontname] = true
target.tweakversion = version
end
end
end
end
do
function mathtweaks.parameters(target,original,parameters)
local newparameters = parameters.list
local oldparameters = target.mathparameters
if newparameters and oldparameters then
newparameters = copytable(newparameters)
scaleparameters(newparameters,target.parameters)
for name, newvalue in next, newparameters do
oldparameters[name] = newvalue
end
end
end
function mathtweaks.bigslots(target,original,parameters)
local list = parameters.list
if list then
target.bigslots = list
end
end
end
-- do
--
-- function mathtweaks.diagnose(target,original,parameters)
-- local characters = target.characters
-- for k, v in sortedhash(characters) do
-- local italic = v.italic
-- if italic then
-- report_tweak("italics: %C %p",target,original,k,italic)
-- end
-- end
-- end
--
-- end
do
function mathtweaks.setoptions(target,original,parameters)
local setlist = parameters.set or parameters.list
local resetlist = parameters.reset
if setlist or resetlist then
local properties = target.properties
local codes = tex.mathcontrolcodes
local oldcontrol = texget("mathfontcontrol")
local newcontrol = oldcontrol
-- todo: reset
if resetlist then
for i=1,#resetlist do
local v = tonumber(codes[resetlist[i]])
if v then
newcontrol = newcontrol & (not v)
end
end
end
if setlist then
for i=1,#setlist do
local v = tonumber(codes[setlist[i]])
if v then
newcontrol = newcontrol | v
end
end
end
newcontrol = newcontrol | codes.usefontcontrol
properties.mathcontrol = newcontrol
target.mathcontrol = newcontrol
if trace_tweaking then
report_tweak("forcing math font options 0x%08X instead of 0x%08X",target,original,newcontrol,oldcontrol)
end
end
end
end
do
function mathtweaks.setovershoots(target,original,parameters)
local list = parameters.list
if list then
local characters = target.characters
local emwidth = target.parameters.quad
local done = false
for i=1,#list do
local entry = list[i]
local target = entry.target
local top = entry.topovershoot
local quad = entry.quad
if target and top then
local range = blocks[target]
if range then
if quad then
quad = emwidth
end
for r = range.first, range.last do
local unicode = mathgaps[r] or r
local data = characters[unicode]
if data then
data.topovershoot = top * (quad or data.width or 0)
if not trace_tweaking then
done = true
elseif done then
done[r] = true
else
done = { [r] = true }
end
end
end
end
end
end
feedback_tweak("setovershoots",target,original,done)
end
end
-- there is no real need for this but let's play nice with memory anyway
local efindex = 0
local effects = setmetatableindex (function (t,k)
efindex = efindex + 1
local v = "tweakreplacealphabets" .. efindex
local e = fonts.specifiers.presetcontext(v,"",k)
-- print(k,v,e)
t[k] = v
return v
end)
function mathtweaks.replacealphabets(target,original,parameters)
local list = parameters.list
if list then
local features = target.specification.features.normal
local definedfont = fonts.definers.internal
local copiedglyph = fonts.handlers.vf.math.copy_glyph
-- does a deep copy, including parts and so
local getsubstitution = fonts.handlers.otf.getsubstitution
local fontdata = fonts.hashes.identifiers
--
local fonts = target.fonts
local size = target.size
local characters = target.characters
if not fonts then
fonts = { }
target.fonts = fonts
end
if #fonts == 0 then
fonts[1] = { id = 0, size = size } -- self, will be resolved later
end
for i=1,#list do
local entry = list[i]
local filename = entry.filename or parameters.filename
local feature = entry.feature
local thesource = entry.source
local thetarget = entry.target or thesource
local keep = (entry.keep == true) or (parameters.keep == true)
if thesource and thetarget then
local sourcerange = type(thesource) == "table" and thesource or blocks[thesource] -- .gaps
local targetrange = type(thetarget) == "table" and thetarget or blocks[thetarget] -- .gaps
if sourcerange and targetrange then
local firsttarget = targetrange.first
local firstsource = sourcerange.first
local lastsource = sourcerange.last or firstsource
if firstsource and firsttarget then
local offset = firsttarget - firstsource
if filename then
local rscale = entry.rscale or 1 -- todo
size = size * rscale -- maybe use scale in vf command
-- load font, todo: set language and script, the effect hack is ugly
local fullname = filename
local effect = features.effect
if effect then
fullname = fullname .. "*" .. effects["effect={"..effect.."}"]
end
local id = definedfont {
name = fullname,
size = size,
}
local chars = fontchars[id]
local dropin = fontdata[id]
local index = false
for i=1,#fonts do
local f = fonts[i]
if f.id == id and f.size == size then
index = i
break
end
end
if not index then
index = #fonts + 1
fonts[index] = { id = id, size = size }
end
-- copy characters
for s=firstsource,lastsource do
local t = s + offset
local sourceunicode = mathgaps[s] or s
if chars[sourceunicode] then
local targetunicode = mathgaps[t] or t
if keep and characters[targetunicode] then
-- okay
else
if feature then
sourceunicode = getsubstitution(dropin,sourceunicode,feature,true,"math","dflt") or sourceunicode
end
-- if trace_tweaking then
-- report_tweak("copying %s %U from file %a to %s %U",target,original,thesource,sourceunicode,filename,thetarget,targetunicode)
-- end
characters[targetunicode] = copiedglyph(target,characters,chars,sourceunicode,index)
end
end
end
--
local inherit = entry.inherit
if inherit then
local mathparameters = target.mathparameters
local dropparameters = fontdata[id].mathparameters
if dropparameters then
for name in sortedhash(inherit) do
local value = dropparameters[name]
if value then
mathparameters[name] = value
end
end
end
end
--
elseif feature then
for s=firstsource,lastsource do
local t = s + offset
local sourceunicode = mathgaps[s] or s
local targetunicode = mathgaps[t] or t
local variant = getsubstitution(original,sourceunicode,feature,true,"math","dflt")
local data = characters[variant]
if data then
-- if trace_tweaking then
-- report_tweak("copying %s %U from feature %a to %s %U",target,original,thesource,sourceunicode,feature,thetarget,targetunicode)
-- end
characters[targetunicode] = copytable(data)
end
end
else
for s=firstsource,lastsource do
local t = s + offset
local sourceunicode = mathgaps[s] or s
local targetunicode = mathgaps[t] or t
if sourceunicode ~= targetunicode then
local data = characters[sourceunicode]
if data then
-- if trace_tweaking then
-- report_tweak("copying %s %U to %s %U",target,original,thesource,sourceunicode,thetarget,targetunicode)
-- end
characters[targetunicode] = copytable(data)
end
end
end
end
else
-- error
end
end
end
end
end
end
function mathtweaks.fallbacks(target,original,parameters)
local fallbacks = target.specification.fallbacks
if fallbacks then
local definitions = fonts.collections.definitions[fallbacks]
if definitions then
local list = { }
for i=1,#definitions do
local definition = definitions[i]
-- local check = definition.check
-- local force = definition.force
local first = definition.start
local last = definition.stop
local offset = definition.offset or first
list[#list+1] = {
filename = definition.font,
rscale = definition.rscale or 1,
source = { first = first, last = last },
target = { first = offset, last = offset + (last - first) },
}
end
mathtweaks.replacealphabets(target,original,{
tweak = "replacealphabets",
list = list,
} )
end
end
end
end
local apply_tweaks = true directives.register("math.applytweaks", function(v) apply_tweaks = v end)
local applied_tweaks = 0
local function tweaklist(target,original,tweaks)
if type(tweaks) == "table" then
for i=1,#tweaks do
local tweak = tweaks[i]
if type(tweak) == "table" then
local action = mathtweaks[tweak.tweak or ""]
if action then
local feature = tweak.feature
local features = target.specification.features.normal
if feature == nil or features[feature] then
local version = tweak.version
if version and version ~= target.tweakversion then
report_math("skipping tweak %a version %a",tweak.tweak,version)
elseif original then
action(target,original,tweak)
else
action(target,tweak)
end
end
end
end
end
end
end
function mathtweaks.tweaks(target,original,parameters)
tweaklist(target,original,parameters.list)
end
local function applytweaks(when,target,original)
if apply_tweaks then
local goodies = original.goodies
if goodies then
local tweaked = target.tweaked or { }
if tweaked[when] then
if trace_defining then
report_math("tweaking math of %a @ %p (%s: %s)",target.properties.fullname,target.parameters.size,when,"done")
end
else
for i=1,#goodies do
local goodie = goodies[i]
local mathematics = goodie.mathematics
local tweaks = mathematics and mathematics.tweaks
if type(tweaks) == "table" then
statistics.starttiming(mathtweaks)
applied_tweaks = applied_tweaks + 1
tweaks = tweaks[when]
if trace_defining then
report_math("tweaking math of %a @ %p (%s: %s)",target.properties.fullname,target.parameters.size,when,"okay")
end
tweaklist(target,original,tweaks)
end
statistics.stoptiming(mathtweaks)
end
tweaked[when] = true
target.tweaked = tweaked
end
end
else
report_math("not tweaking math of %a @ %p (%s)",target.properties.fullname,target.parameters.size,when)
end
end
local function tweakable(target)
local mathparameters = target.mathparameters
-- local features = target.specification.features
-- local mathscript = features and features.normal and features.normal.script == "math"
-- return mathparameters and mathscript -- and target,properties.hasmath
return mathparameters
end
function mathematics.tweakbeforecopyingfont(target,original)
if use_math_goodies and tweakable(target) then
applytweaks("beforecopying",target,original)
end
end
function mathematics.tweakaftercopyingfont(target,original)
if use_math_goodies and tweakable(target) then
applytweaks("aftercopying",target,original)
end
end
statistics.register("math tweaking time",function()
if applied_tweaks > 0 then
return string.format("%s seconds, %s math goodie tables", statistics.elapsedtime(mathtweaks),applied_tweaks)
end
end)
do
local defaults = {
{
source = "uppercasescript",
target = "uppercasecalligraphic",
},
{
source = "lowercasescript",
target = "lowercasecalligraphic",
},
{
source = "uppercaseboldscript",
target = "uppercaseboldcalligraphic",
},
{
source = "lowercaseboldscript",
target = "lowercaseboldcalligraphic",
},
}
local reported = table.setmetatableindex("table")
function mathematics.checkaftercopyingfont(target,original)
if tweakable(target) then
local chardata = characters.data
local characters = target.characters
--
for i=1,#defaults do
-- we assume no ssty here yet .. todo
local default = defaults[i]
local block = blocks[default.target]
local first = block.first
local last = block.last
if not characters[mathgaps[first] or last] then
mathtweaks.replacealphabets(target,original,{
tweak = "replacealphabets",
list = { default }
})
end
end
--
local addvariant = mathematics.addvariant
local function register(old,new)
for i, cold in next, old do
local cnew = new[i]
addvariant(target,cold,cold,0xFE00)
addvariant(target,cnew,cnew,0xFE01)
addvariant(target,cnew,cold,0xFE00)
addvariant(target,cold,cnew,0xFE01)
end
end
local sr = mathematics.alphabets.sr.tf
local ca = mathematics.alphabets.ca.tf
register(sr.ucletters,ca.ucletters)
register(sr.lcletters,ca.lcletters)
--
if checkitalics then
local italics = 0
local metadata = original.shared.rawdata.metadata
local fontname = metadata and metadata.fontname or false
-- for k, v in sortedhash(characters) do
for k, v in next, characters do
local italic = v.italic
if italic then
local unicode = v.unicode
if unicode and not reported[fontname][unicode] then -- there can be variants
local data = chardata[unicode]
local description = data.description or ""
local category = data.category or "--"
report_tweak("italics: %C %p %s %s",target,original,k,italic,category,description)
reported[fontname][unicode] = true
end
italics = italics + 1
end
end
if italics > 0 then
report_tweak("still has %i italics",target,original,italics)
goto NEXTSTEP
end
end
target.properties.mathitalics = false
target.properties.textitalics = false
::NEXTSTEP::
-- more to come
end
end
end
function mathematics.beforepassingfonttotex(target)
if tweakable(target) then
applytweaks("beforepassing",target,target)
end
end
sequencers.appendaction("mathparameters","system","mathematics.overloadparameters")
sequencers.appendaction("mathparameters","system","mathematics.scaleparameters")
----------.appendaction("mathparameters","system","mathematics.checkaccentbaseheight") -- should go in lfg instead
----------.appendaction("mathparameters","system","mathematics.checkprivateparameters") -- after scaling !
sequencers.appendaction("beforecopyingcharacters","system","mathematics.tweakbeforecopyingfont")
sequencers.appendaction("aftercopyingcharacters", "system","mathematics.tweakaftercopyingfont")
sequencers.appendaction("aftercopyingcharacters", "system","mathematics.checkaftercopyingfont")
sequencers.appendaction("beforepassingfonttotex", "system","mathematics.beforepassingfonttotex")
-- no, it's a feature now (see good-mth):
--
-- sequencers.appendaction("aftercopyingcharacters", "system","mathematics.overloaddimensions")
-- 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_mixed = extensibles.mixed
local e_unknown = extensibles.unknown
local unknown = { e_unknown, false, false }
-- top curly bracket: 23DE
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.parts 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[getfontoffamily(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 = getfontoffamily(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].parts
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].parts
if charlist then
local right = charlist[#charlist]
roffset = abs((right["start"] or 0) - (right["end"] or 0))
end
elseif kind == e_horizontal then
local charlist = data[3].parts
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 { -- can be public with two times "integerargument"
name = "extensiblecode",
arguments = "2 integers",
actions = { extensiblecode, context }
}
interfaces.implement { -- can be public with two times "integerargument"
name = "horizontalcode",
arguments = "2 integers",
actions = function(family,unicode)
local kind, loffset, roffset = horizontalcode(family,unicode)
texsetdimen(d_scratchleftoffset, loffset)
texsetdimen(d_scratchrightoffset,roffset)
context(kind)
end
}
function mathematics.variantcode(unicode,variant)
local data = fontcharacters[getfontoffamily(texget("fam"))]
local char = data and data[unicode]
if char then
for i=1,variant do
local next = char.next
if next then
unicode = next
char = data[next]
else
break
end
end
end
return unicode
end
function mathematics.variantcount(unicode)
local data = fontcharacters[getfontoffamily(texget("fam"))]
local char = data and data[unicode]
local count = 0
if char then
while true do
local next = char.next
if next then
count = count + 1
char = data[next]
else
break
end
end
end
return count
end
interfaces.implement {
name = "mathvariantcode",
public = true,
arguments = "2 integers",
actions = { mathematics.variantcode, context },
}
interfaces.implement {
name = "mathvariantcount",
public = true,
arguments = "integer",
actions = { mathematics.variantcount, context },
}
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