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|
if not modules then modules = { } end modules ['math-vfu'] = {
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"
}
-- All these math vectors .. thanks to Aditya and Mojca they become
-- better and better. If you have problems with math fonts or miss
-- characters report it to the ConTeXt mailing list. Also thanks to
-- Boguslaw for finding a couple of errors.
--
-- This mechanism will stay around. Even when we've switched to the
-- real fonts, one can still say:
--
-- \enablemode[lmmath,pxmath,txmath]
--
-- to get the virtual counterparts. There are still areas where the
-- virtuals are better.
-- 20D6 -> 2190
-- 20D7 -> 2192
local type, next = type, next
local max = math.max
local format = string.format
local utfchar = utf.char
local fonts, nodes, mathematics = fonts, nodes, mathematics
local trace_virtual = false trackers.register("math.virtual", function(v) trace_virtual = v end)
local trace_timings = false trackers.register("math.timings", function(v) trace_timings = v end)
local add_optional = false directives.register("math.virtual.optional",function(v) add_optional = v end)
local report_virtual = logs.reporter("fonts","virtual math")
local allocate = utilities.storage.allocate
local setmetatableindex = table.setmetatableindex
local mathencodings = allocate()
fonts.encodings.math = mathencodings -- better is then: fonts.encodings.vectors
local vfmath = allocate()
fonts.handlers.vf.math = vfmath
local shared = { }
-- local push, pop, back = { "push" }, { "pop" }, { "slot", 1, 0x2215 }
--
-- local function negate(main,characters,id,size,unicode,basecode)
-- if not characters[unicode] then
-- local basechar = characters[basecode]
-- if basechar then
-- local ht, wd = basechar.height, basechar.width
-- characters[unicode] = {
-- width = wd,
-- height = ht,
-- depth = basechar.depth,
-- italic = basechar.italic,
-- kerns = basechar.kerns,
-- commands = {
-- { "slot", 1, basecode },
-- push,
-- { "down", ht/5},
-- { "right", - wd/2},
-- back,
-- push,
-- }
-- }
-- end
-- end
-- end
--
-- \Umathchardef\braceld="0 "1 "FF07A
-- \Umathchardef\bracerd="0 "1 "FF07B
-- \Umathchardef\bracelu="0 "1 "FF07C
-- \Umathchardef\braceru="0 "1 "FF07D
local function brace(main,characters,id,size,unicode,first,rule,left,right,rule,last)
if not characters[unicode] then
characters[unicode] = {
horiz_variants = {
{ extender = 0, glyph = first },
{ extender = 1, glyph = rule },
{ extender = 0, glyph = left },
{ extender = 0, glyph = right },
{ extender = 1, glyph = rule },
{ extender = 0, glyph = last },
}
}
end
end
local function extension(main,characters,id,size,unicode,first,middle,last)
local chr = characters[unicode]
if not chr then
return -- skip
end
local fw = characters[first]
if not fw then
return
end
local mw = characters[middle]
if not mw then
return
end
local lw = characters[last]
if not lw then
return
end
fw = fw.width
mw = mw.width
lw = lw.width
if fw == 0 then
fw = 1
end
if lw == 0 then
lw = 1
end
chr.horiz_variants = {
{ extender = 0, glyph = first, ["end"] = fw/2, start = 0, advance = fw },
{ extender = 1, glyph = middle, ["end"] = mw/2, start = mw/2, advance = mw },
{ extender = 0, glyph = last, ["end"] = 0, start = lw/2, advance = lw },
}
end
local function parent(main,characters,id,size,unicode,first,rule,last)
if not characters[unicode] then
characters[unicode] = {
horiz_variants = {
{ extender = 0, glyph = first },
{ extender = 1, glyph = rule },
{ extender = 0, glyph = last },
}
}
end
end
local push, pop, step = { "push" }, { "pop" }, 0.2 -- 0.1 is nicer but gives larger files
local function make(main,characters,id,size,n,m)
local old = 0xFF000 + n
local c = characters[old]
if c then
local upslot, dnslot, uprule, dnrule = 0xFF100 + n, 0xFF200 + n, 0xFF300 + m, 0xFF400 + m
local xu = main.parameters.x_height + 0.3*size
local xd = 0.3*size
local w, h, d = c.width, c.height, c.depth
local thickness = h - d
local rulewidth = step*size -- we could use an overlap
local slot = { "slot", id, old }
local rule = { "rule", thickness, rulewidth }
local up = { "down", -xu }
local dn = { "down", xd }
local ht, dp = xu + 3*thickness, 0
if not characters[uprule] then
characters[uprule] = { width = rulewidth, height = ht, depth = dp, commands = { push, up, rule, pop } }
end
characters[upslot] = { width = w, height = ht, depth = dp, commands = { push, up, slot, pop } }
local ht, dp = 0, xd + 3*thickness
if not characters[dnrule] then
characters[dnrule] = { width = rulewidth, height = ht, depth = dp, commands = { push, dn, rule, pop } }
end
characters[dnslot] = { width = w, height = ht, depth = dp, commands = { push, dn, slot, pop } }
end
end
local function clipped(main,characters,id,size,unicode,original) -- push/pop needed?
local minus = characters[original]
if minus then
local mu = size/18
local step = 3*mu
local width = minus.width
if width > step then
width = width - step
step = step / 2
else
width = width / 2
step = width
end
characters[unicode] = {
width = width,
height = minus.height,
depth = minus.depth,
commands = { push, { "right", -step }, { "slot", id, original }, pop }
}
end
end
-- fails: pdf:page: pdf:direct: ... some funny displacement
-- this does not yet work ... { "scale", 2, 0, 0, 3 } .. commented code
--
-- this does not work ... no interpretation going on here
--
-- local nodeinjections = backends.nodeinjections
-- { "node", nodeinjections.save() },
-- { "node", nodeinjections.transform(.7,0,0,.7) },
-- commands[#commands+1] = { "node", nodeinjections.restore() }
local done = { }
local function raise(main,characters,id,size,unicode,private,n) -- this is a real fake mess
local raised = characters[private]
if raised then
if not done[unicode] then
report_virtual("temporary too large %U due to issues in luatex backend",unicode)
done[unicode] = true
end
local up = 0.85 * main.parameters.x_height
local slot = { "slot", id, private }
local commands = {
push,
{ "down", - up },
-- { "scale", .7, 0, 0, .7 },
slot,
}
for i=2,n do
commands[#commands+1] = slot
end
commands[#commands+1] = pop
characters[unicode] = {
width = .7 * n * raised.width,
height = .7 * (raised.height + up),
depth = .7 * (raised.depth - up),
commands = commands,
}
end
end
local function dots(main,characters,id,size,unicode)
local c = characters[0x002E]
if c then
local w, h, d = c.width, c.height, c.depth
local mu = size/18
local right3mu = { "right", 3*mu }
local right1mu = { "right", 1*mu }
local up1size = { "down", -.1*size }
local up4size = { "down", -.4*size }
local up7size = { "down", -.7*size }
local right2muw = { "right", 2*mu + w }
local slot = { "slot", id, 0x002E }
if unicode == 0x22EF then
local c = characters[0x022C5]
if c then
local w, h, d = c.width, c.height, c.depth
local slot = { "slot", id, 0x022C5 }
characters[unicode] = {
width = 3*w + 2*3*mu, height = h, depth = d,
commands = { push, slot, right3mu, slot, right3mu, slot, pop }
}
end
elseif unicode == 0x22EE then
-- weird height !
characters[unicode] = {
width = w, height = h+(1.4)*size, depth = 0,
commands = { push, push, slot, pop, up4size, push, slot, pop, up4size, slot, pop }
}
elseif unicode == 0x22F1 then
characters[unicode] = {
width = 3*w + 6*size/18, height = 1.5*size, depth = 0,
commands = {
push,
right1mu,
push, up7size, slot, pop,
right2muw,
push, up4size, slot, pop,
right2muw,
push, up1size, slot, pop,
right1mu,
pop
}
}
elseif unicode == 0x22F0 then
characters[unicode] = {
width = 3*w + 6*size/18, height = 1.5*size, depth = 0,
commands = {
push,
right1mu,
push, up1size, slot, pop,
right2muw,
push, up4size, slot, pop,
right2muw,
push, up7size, slot, pop,
right1mu,
pop
}
}
else
characters[unicode] = {
width = 3*w + 2*3*mu, height = h, depth = d,
commands = { push, slot, right3mu, slot, right3mu, slot, pop }
}
end
end
end
local function vertbar(main,characters,id,size,parent,scale,unicode)
local cp = characters[parent]
if cp then
local sc = scale * size
local pc = { "slot", id, parent }
characters[unicode] = {
width = cp.width,
height = cp.height + sc,
depth = cp.depth + sc,
commands = {
push, { "down", -sc }, pc, pop,
push, { "down", sc }, pc, pop,
pc,
},
next = cp.next -- can be extensible
}
cp.next = unicode
end
end
local function jointwo(main,characters,id,size,unicode,u1,d12,u2,what)
local c1, c2 = characters[u1], characters[u2]
if c1 and c2 then
local w1, w2 = c1.width, c2.width
local mu = size/18
characters[unicode] = {
width = w1 + w2 - d12 * mu,
height = max(c1.height or 0, c2.height or 0),
depth = max(c1.depth or 0, c2.depth or 0),
commands = {
{ "slot", id, u1 },
{ "right", -d12*mu } ,
{ "slot", id, u2 },
},
}
end
end
local function jointhree(main,characters,id,size,unicode,u1,d12,u2,d23,u3)
local c1, c2, c3 = characters[u1], characters[u2], characters[u3]
if c1 and c2 and c3 then
local w1, w2, w3 = c1.width, c2.width, c3.width
local mu = size/18
characters[unicode] = {
width = w1 + w2 + w3 - d12*mu - d23*mu,
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 = {
{ "slot", id, u1 },
{ "right", - d12*mu } ,
{ "slot", id, u2 },
{ "right", - d23*mu },
{ "slot", id, u3 },
}
}
end
end
local function stack(main,characters,id,size,unicode,u1,d12,u2)
local c1, c2 = characters[u1], characters[u2]
if c1 and c2 then
local w1, w2 = c1.width, c2.width
local h1, h2 = c1.height, c2.height
local d1, d2 = c1.depth, c2.depth
local mu = size/18
characters[unicode] = {
width = w1,
height = h1 + h2 + d12,
depth = d1,
commands = {
{ "slot", id, u1 },
{ "right", - w1/2 - w2/2 } ,
{ "down", -h1 + d2 -d12*mu } ,
{ "slot", id, u2 },
}
}
end
end
local function repeated(main,characters,id,size,unicode,u,n,private,fraction) -- math-fbk.lua
local c = characters[u]
if c then
local width = c.width
local italic = fraction*width -- c.italic or 0 -- larger ones have funny italics
local tc = { "slot", id, u }
local tr = { "right", -italic } -- see hack elsewhere
local commands = { }
for i=1,n-1 do
commands[#commands+1] = tc
commands[#commands+1] = tr
end
commands[#commands+1] = tc
-- inspect(c)
-- inspect(commands)
local next = c.next
if next then
repeated(main,characters,id,size,private,next,n,private+1,fraction)
next = private
end
characters[unicode] = {
width = width + (n-1)*(width-italic),
height = c.height,
depth = c.depth,
italic = italic,
commands = commands,
next = next,
}
end
end
function vfmath.addmissing(main,id,size)
local characters = main.characters
local shared = main.shared
local variables = main.goodies.mathematics and main.goodies.mathematics.variables or { }
local joinrelfactor = variables.joinrelfactor or 3
for i=0x7A,0x7D do
make(main,characters,id,size,i,1)
end
brace (main,characters,id,size,0x23DE,0xFF17A,0xFF301,0xFF17D,0xFF17C,0xFF301,0xFF17B)
brace (main,characters,id,size,0x23DF,0xFF27C,0xFF401,0xFF27B,0xFF27A,0xFF401,0xFF27D)
parent (main,characters,id,size,0x23DC,0xFF17A,0xFF301,0xFF17B)
parent (main,characters,id,size,0x23DD,0xFF27C,0xFF401,0xFF27D)
-- negate (main,characters,id,size,0x2260,0x003D)
dots (main,characters,id,size,0x2026) -- ldots
dots (main,characters,id,size,0x22EE) -- vdots
dots (main,characters,id,size,0x22EF) -- cdots
dots (main,characters,id,size,0x22F1) -- ddots
dots (main,characters,id,size,0x22F0) -- udots
vertbar (main,characters,id,size,0x0007C,0.10,0xFF601) -- big : 0.85 bodyfontsize
vertbar (main,characters,id,size,0xFF601,0.30,0xFF602) -- Big : 1.15 bodyfontsize
vertbar (main,characters,id,size,0xFF602,0.30,0xFF603) -- bigg : 1.45 bodyfontsize
vertbar (main,characters,id,size,0xFF603,0.30,0xFF604) -- Bigg : 1.75 bodyfontsize
vertbar (main,characters,id,size,0x02016,0.10,0xFF605)
vertbar (main,characters,id,size,0xFF605,0.30,0xFF606)
vertbar (main,characters,id,size,0xFF606,0.30,0xFF607)
vertbar (main,characters,id,size,0xFF607,0.30,0xFF608)
clipped (main,characters,id,size,0xFF501,0x0002D) -- minus
clipped (main,characters,id,size,0xFF502,0x02190) -- lefthead
clipped (main,characters,id,size,0xFF503,0x02192) -- righthead
clipped (main,characters,id,size,0xFF504,0xFE321) -- mapsto
clipped (main,characters,id,size,0xFF505,0xFE322) -- lhook
clipped (main,characters,id,size,0xFF506,0xFE323) -- rhook
clipped (main,characters,id,size,0xFF507,0xFE324) -- mapsfrom
clipped (main,characters,id,size,0xFF508,0x021D0) -- double lefthead
clipped (main,characters,id,size,0xFF509,0x021D2) -- double righthead
clipped (main,characters,id,size,0xFF50A,0x0003D) -- equal
clipped (main,characters,id,size,0xFF50B,0x0219E) -- lefttwohead
clipped (main,characters,id,size,0xFF50C,0x021A0) -- righttwohead
clipped (main,characters,id,size,0xFF50D,0xFF350) -- lr arrow combi snippet
clipped (main,characters,id,size,0xFF50E,0xFF351) -- lr arrow combi snippet
clipped (main,characters,id,size,0xFF50F,0xFF352) -- lr arrow combi snippet
clipped (main,characters,id,size,0xFF510,0x02261) -- equiv
extension(main,characters,id,size,0x2190,0xFF502,0xFF501,0xFF501) -- \leftarrow
extension(main,characters,id,size,0x2192,0xFF501,0xFF501,0xFF503) -- \rightarrow
extension(main,characters,id,size,0x002D,0xFF501,0xFF501,0xFF501) -- \rel
extension(main,characters,id,size,0x003D,0xFF50A,0xFF50A,0xFF50A) -- \equal
extension(main,characters,id,size,0x2261,0xFF510,0xFF510,0xFF510) -- \equiv
jointwo (main,characters,id,size,0x21A6,0xFE321,0,0x02192) -- \mapstochar\rightarrow
jointwo (main,characters,id,size,0x21A9,0x02190,joinrelfactor,0xFE323) -- \leftarrow\joinrel\rhook
jointwo (main,characters,id,size,0x21AA,0xFE322,joinrelfactor,0x02192) -- \lhook\joinrel\rightarrow
jointwo (main,characters,id,size,0x27F5,0x02190,joinrelfactor,0x0002D) -- \leftarrow\joinrel\relbar
jointwo (main,characters,id,size,0x27F6,0x0002D,joinrelfactor,0x02192,2) -- \relbar\joinrel\rightarrow
jointwo (main,characters,id,size,0x27F7,0x02190,joinrelfactor,0x02192) -- \leftarrow\joinrel\rightarrow
jointwo (main,characters,id,size,0x27F8,0x021D0,joinrelfactor,0x0003D) -- \Leftarrow\joinrel\Relbar
jointwo (main,characters,id,size,0x27F9,0x0003D,joinrelfactor,0x021D2) -- \Relbar\joinrel\Rightarrow
jointwo (main,characters,id,size,0x27FA,0x021D0,joinrelfactor,0x021D2) -- \Leftarrow\joinrel\Rightarrow
jointhree(main,characters,id,size,0x27FB,0x02190,joinrelfactor,0x0002D,0,0xFE324) -- \leftarrow\joinrel\relbar\mapsfromchar
jointhree(main,characters,id,size,0x27FC,0xFE321,0,0x0002D,joinrelfactor,0x02192) -- \mapstochar\relbar\joinrel\rightarrow
extension(main,characters,id,size,0x21A6,0xFF504,0xFF501,0xFF503) -- \mapstochar\rightarrow
extension(main,characters,id,size,0x21A9,0xFF502,0xFF501,0xFF506) -- \leftarrow\joinrel\rhook
extension(main,characters,id,size,0x21AA,0xFF505,0xFF501,0xFF503) -- \lhook\joinrel\rightarrow
extension(main,characters,id,size,0x27F5,0xFF502,0xFF501,0xFF501) -- \leftarrow\joinrel\relbar
extension(main,characters,id,size,0x27F6,0xFF501,0xFF501,0xFF503) -- \relbar\joinrel\rightarrow
extension(main,characters,id,size,0x27F7,0xFF502,0xFF501,0xFF503) -- \leftarrow\joinrel\rightarrow
extension(main,characters,id,size,0x27F8,0xFF508,0xFF50A,0xFF50A) -- \Leftarrow\joinrel\Relbar
extension(main,characters,id,size,0x27F9,0xFF50A,0xFF50A,0xFF509) -- \Relbar\joinrel\Rightarrow
extension(main,characters,id,size,0x27FA,0xFF508,0xFF50A,0xFF509) -- \Leftarrow\joinrel\Rightarrow
extension(main,characters,id,size,0x27FB,0xFF502,0xFF501,0xFF507) -- \leftarrow\joinrel\relbar\mapsfromchar
extension(main,characters,id,size,0x27FC,0xFF504,0xFF501,0xFF503) -- \mapstochar\relbar\joinrel\rightarrow
extension(main,characters,id,size,0x219E,0xFF50B,0xFF501,0xFF501) -- \twoheadleftarrow\joinrel\relbar
extension(main,characters,id,size,0x21A0,0xFF501,0xFF501,0xFF50C) -- \relbar\joinrel\twoheadrightarrow
extension(main,characters,id,size,0x21C4,0xFF50D,0xFF50E,0xFF50F) -- leftoverright
-- 21CB leftrightharpoon
-- 21CC rightleftharpoon
stack (main,characters,id,size,0x2259,0x0003D,3,0x02227) -- \buildrel\wedge\over=
jointwo (main,characters,id,size,0x22C8,0x022B3,joinrelfactor,0x022B2) -- \mathrel\triangleright\joinrel\mathrel\triangleleft (4 looks better than 3)
jointwo (main,characters,id,size,0x22A7,0x0007C,joinrelfactor,0x0003D) -- \mathrel|\joinrel=
jointwo (main,characters,id,size,0x2260,0x00338,0,0x0003D) -- \not\equal
jointwo (main,characters,id,size,0x2284,0x00338,0,0x02282) -- \not\subset
jointwo (main,characters,id,size,0x2285,0x00338,0,0x02283) -- \not\supset
jointwo (main,characters,id,size,0x2209,0x00338,0,0x02208) -- \not\in
jointwo (main,characters,id,size,0x2254,0x03A,0,0x03D) -- := (≔)
repeated(main,characters,id,size,0x222C,0x222B,2,0xFF800,1/3)
repeated(main,characters,id,size,0x222D,0x222B,3,0xFF810,1/3)
-- raise (main,characters,id,size,0x02032,0xFE325,1) -- prime
-- raise (main,characters,id,size,0x02033,0xFE325,2) -- double prime
-- raise (main,characters,id,size,0x02034,0xFE325,3) -- triple prime
-- there are more (needs discussion first):
-- characters[0x20D6] = characters[0x2190]
-- characters[0x20D7] = characters[0x2192]
characters[0x02B9] = characters[0x2032] -- we're nice
end
local unique = 0 -- testcase: \startTEXpage \math{!\text{-}\text{-}\text{-}} \stopTEXpage
local reported = { }
local reverse = { } -- index -> unicode
setmetatableindex(reverse, function(t,name)
if trace_virtual then
report_virtual("initializing math vector %a",name)
end
local m, r = mathencodings[name], { }
for u, i in next, m do
r[i] = u
end
reverse[name] = r
return r
end)
function vfmath.define(specification,set,goodies)
local name = specification.name -- symbolic name
local size = specification.size -- given size
local loaded, fontlist, names, main = { }, { }, { }, nil
local start = (trace_virtual or trace_timings) and os.clock()
local okset, n = { }, 0
for s=1,#set do
local ss = set[s]
local ssname = ss.name
if add_optional and ss.optional then
if trace_virtual then
report_virtual("loading font %a subfont %s with name %a at %p is skipped",name,s,ssname,size)
end
else
if ss.features then
ssname = ssname .. "*" .. ss.features
end
if ss.main then
main = s
end
local alreadyloaded = names[ssname] -- for px we load one twice (saves .04 sec)
local f, id
if alreadyloaded then
f, id = alreadyloaded.f, alreadyloaded.id
if trace_virtual then
report_virtual("loading font %a subfont %s with name %a is reused",name,s,ssname)
end
else
f, id = fonts.constructors.readanddefine(ssname,size)
names[ssname] = { f = f, id = id }
end
if not f or id == 0 then
report_virtual("loading font %a subfont %s with name %a at %p is skipped, not found",name,s,ssname,size)
else
n = n + 1
okset[n] = ss
loaded[n] = f
fontlist[n] = { id = id, size = size }
if not shared[s] then
shared[n] = { }
end
if trace_virtual then
report_virtual("loading font %a subfont %s with name %a at %p as id %s using encoding %p",name,s,ssname,size,id,ss.vector)
end
if not ss.checked then
ss.checked = true
local vector = mathencodings[ss.vector]
if vector then
-- we resolve named glyphs only once as we can assume that vectors
-- are unique to a font set (when we read an afm we get those names
-- mapped onto the private area)
for unicode, index in next, vector do
if not tonumber(index) then
local u = f.unicodes
u = u and u[index]
if u then
if trace_virtual then
report_virtual("resolving name %a to %s",index,u) -- maybe more detail for u
end
else
report_virtual("unable to resolve name %a",index)
end
vector[unicode] = u
end
end
end
end
end
end
end
-- beware, loaded[1] is already passed to tex (we need to make a simple copy then .. todo)
local parent = loaded[1] or { } -- a text font
local characters = { }
local parameters = { }
local mathparameters = { }
local descriptions = { }
local metadata = { }
local properties = { }
local goodies = { }
local main = {
metadata = metadata,
properties = properties,
characters = characters,
descriptions = descriptions,
parameters = parameters,
mathparameters = mathparameters,
fonts = fontlist,
goodies = goodies,
}
--
--
for key, value in next, parent do
if type(value) ~= "table" then
main[key] = value
end
end
--
if parent.characters then
for unicode, character in next, parent.characters do
characters[unicode] = character
end
else
report_virtual("font %a has no characters",name)
end
--
if parent.parameters then
for key, value in next, parent.parameters do
parameters[key] = value
end
else
report_virtual("font %a has no parameters",name)
end
--
local description = { name = "<unset>" }
setmetatableindex(descriptions,function() return description end)
--
if parent.properties then
setmetatableindex(properties,parent.properties)
end
--
if parent.goodies then
setmetatableindex(goodies,parent.goodies)
end
--
properties.virtualized = true
properties.hasitalics = true
properties.hasmath = true
--
local fullname = properties.fullname -- parent via mt
if fullname then
unique = unique + 1
properties.fullname = fullname .. "-" .. unique
end
--
-- we need to set some values in main as well (still?)
--
main.fullname = properties.fullname
main.type = "virtual"
main.nomath = false
--
parameters.x_height = parameters.x_height or 0
--
local already_reported = false
for s=1,n do
local ss, fs = okset[s], loaded[s]
if not fs then
-- skip, error
elseif add_optional and ss.optional then
-- skip, redundant
else
local newparameters = fs.parameters
if not newparameters then
report_virtual("no parameters set in font %a",name)
elseif ss.extension then
mathparameters.math_x_height = newparameters.x_height or 0 -- math_x_height : height of x
mathparameters.default_rule_thickness = newparameters[ 8] or 0 -- default_rule_thickness : thickness of \over bars
mathparameters.big_op_spacing1 = newparameters[ 9] or 0 -- big_op_spacing1 : minimum clearance above a displayed op
mathparameters.big_op_spacing2 = newparameters[10] or 0 -- big_op_spacing2 : minimum clearance below a displayed op
mathparameters.big_op_spacing3 = newparameters[11] or 0 -- big_op_spacing3 : minimum baselineskip above displayed op
mathparameters.big_op_spacing4 = newparameters[12] or 0 -- big_op_spacing4 : minimum baselineskip below displayed op
mathparameters.big_op_spacing5 = newparameters[13] or 0 -- big_op_spacing5 : padding above and below displayed limits
-- report_virtual("loading and virtualizing font %a at size %p, setting ex parameters",name,size)
elseif ss.parameters then
mathparameters.x_height = newparameters.x_height or mathparameters.x_height
mathparameters.x_height = mathparameters.x_height or fp.x_height or 0 -- x_height : height of x
mathparameters.num1 = newparameters[ 8] or 0 -- num1 : numerator shift-up in display styles
mathparameters.num2 = newparameters[ 9] or 0 -- num2 : numerator shift-up in non-display, non-\atop
mathparameters.num3 = newparameters[10] or 0 -- num3 : numerator shift-up in non-display \atop
mathparameters.denom1 = newparameters[11] or 0 -- denom1 : denominator shift-down in display styles
mathparameters.denom2 = newparameters[12] or 0 -- denom2 : denominator shift-down in non-display styles
mathparameters.sup1 = newparameters[13] or 0 -- sup1 : superscript shift-up in uncramped display style
mathparameters.sup2 = newparameters[14] or 0 -- sup2 : superscript shift-up in uncramped non-display
mathparameters.sup3 = newparameters[15] or 0 -- sup3 : superscript shift-up in cramped styles
mathparameters.sub1 = newparameters[16] or 0 -- sub1 : subscript shift-down if superscript is absent
mathparameters.sub2 = newparameters[17] or 0 -- sub2 : subscript shift-down if superscript is present
mathparameters.sup_drop = newparameters[18] or 0 -- sup_drop : superscript baseline below top of large box
mathparameters.sub_drop = newparameters[19] or 0 -- sub_drop : subscript baseline below bottom of large box
mathparameters.delim1 = newparameters[20] or 0 -- delim1 : size of \atopwithdelims delimiters in display styles
mathparameters.delim2 = newparameters[21] or 0 -- delim2 : size of \atopwithdelims delimiters in non-displays
mathparameters.axis_height = newparameters[22] or 0 -- axis_height : height of fraction lines above the baseline
-- report_virtual("loading and virtualizing font %a at size %p, setting sy parameters",name,size)
end
local vectorname = ss.vector
if vectorname then
local offset = 0xFF000
local vector = mathencodings[vectorname]
local rotcev = reverse[vectorname]
local isextension = ss.extension
if vector and rotcev then
local fc, fd, si = fs.characters, fs.descriptions, shared[s]
local skewchar = ss.skewchar
for unicode, index in next, vector do
local fci = fc[index]
if not fci then
local fontname = fs.properties.name or "unknown"
local rf = reported[fontname]
if not rf then rf = { } reported[fontname] = rf end
local rv = rf[vectorname]
if not rv then rv = { } rf[vectorname] = rv end
local ru = rv[unicode]
if not ru then
if trace_virtual then
report_virtual("unicode slot %U has no index %H in vector %a for font %a",unicode,index,vectorname,fontname)
elseif not already_reported then
report_virtual("the mapping is incomplete for %a at %p",name,size)
already_reported = true
end
rv[unicode] = true
end
else
local ref = si[index]
if not ref then
ref = { { 'slot', s, index } }
si[index] = ref
end
local kerns = fci.kerns
local width = fci.width
local italic = fci.italic
if italic and italic > 0 then
-- int_a^b
if isextension then
width = width + italic -- for obscure reasons the integral as a width + italic correction
end
end
if kerns then
local krn = { }
for k, v in next, kerns do -- kerns is sparse
local rk = rotcev[k]
if rk then
krn[rk] = v -- kerns[k]
end
end
if not next(krn) then
krn = nil
end
local t = {
width = width,
height = fci.height,
depth = fci.depth,
italic = italic,
kerns = krn,
commands = ref,
}
if skewchar then
local k = kerns[skewchar]
if k then
t.top_accent = width/2 + k
end
end
characters[unicode] = t
else
characters[unicode] = {
width = width,
height = fci.height,
depth = fci.depth,
italic = italic,
commands = ref,
}
end
end
end
if isextension then
-- todo: if multiple ex, then 256 offsets per instance
local extension = mathencodings["large-to-small"]
local variants_done = fs.variants_done
for index, fci in next, fc do -- the raw ex file
if type(index) == "number" then
local ref = si[index]
if not ref then
ref = { { 'slot', s, index } }
si[index] = ref
end
local italic = fci.italic
local t = {
width = fci.width,
height = fci.height,
depth = fci.depth,
italic = italic,
commands = ref,
}
local n = fci.next
if n then
t.next = offset + n
elseif variants_done then
local vv = fci.vert_variants
if vv then
t.vert_variants = vv
end
local hv = fci.horiz_variants
if hv then
t.horiz_variants = hv
end
else
local vv = fci.vert_variants
if vv then
for i=1,#vv do
local vvi = vv[i]
vvi.glyph = vvi.glyph + offset
end
t.vert_variants = vv
end
local hv = fci.horiz_variants
if hv then
for i=1,#hv do
local hvi = hv[i]
hvi.glyph = hvi.glyph + offset
end
t.horiz_variants = hv
end
end
characters[offset + index] = t
end
end
fs.variants_done = true
for unicode, index in next, extension do
local cu = characters[unicode]
if cu then
cu.next = offset + index
else
local fci = fc[index]
if not fci then
-- do nothing
else
-- probably never entered
local ref = si[index]
if not ref then
ref = { { 'slot', s, index } }
si[index] = ref
end
local kerns = fci.kerns
if kerns then
local krn = { }
-- for k=1,#kerns do
-- krn[offset + k] = kerns[k]
-- end
for k, v in next, kerns do -- is kerns sparse?
krn[offset + k] = v
end
characters[unicode] = {
width = fci.width,
height = fci.height,
depth = fci.depth,
italic = fci.italic,
commands = ref,
kerns = krn,
next = offset + index,
}
else
characters[unicode] = {
width = fci.width,
height = fci.height,
depth = fci.depth,
italic = fci.italic,
commands = ref,
next = offset + index,
}
end
end
end
end
end
else
report_virtual("error in loading %a, problematic vector %a",name,vectorname)
end
end
mathematics.extras.copy(main) --not needed here (yet)
end
end
--
fontlist[#fontlist+1] = {
id = font.nextid(),
size = size,
}
--
--
main.mathparameters = mathparameters -- still traditional ones
vfmath.addmissing(main,#fontlist,size)
mathematics.addfallbacks(main)
--
main.properties.math_is_scaled = true -- signal
fonts.constructors.assignmathparameters(main,main)
--
main.MathConstants = main.mathparameters -- we directly pass it to TeX (bypasses the scaler) so this is needed
--
if trace_virtual or trace_timings then
report_virtual("loading and virtualizing font %a at size %p took %0.3f seconds",name,size,os.clock()-start)
end
--
return main
end
function mathematics.makefont(name,set,goodies)
fonts.definers.methods.variants[name] = function(specification)
return vfmath.define(specification,set,goodies)
end
end
-- helpers
function vfmath.setletters(font_encoding, name, uppercase, lowercase)
local enc = font_encoding[name]
for i = 0,25 do
enc[uppercase+i] = i + 0x41
enc[lowercase+i] = i + 0x61
end
end
function vfmath.setdigits(font_encoding, name, digits)
local enc = font_encoding[name]
for i = 0,9 do
enc[digits+i] = i + 0x30
end
end
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