330 lines
11 KiB
Lua
330 lines
11 KiB
Lua
local remap_comb = require'luamml-data-combining'
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local stretchy = require'luamml-data-stretchy'
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local properties = node.get_properties_table()
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local kern_t, glue_t = node.id'kern', node.id'glue'
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local noad_t, accent_t, style_t, choice_t = node.id'noad', node.id'accent', node.id'style', node.id'choice'
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local radical_t, fraction_t, fence_t = node.id'radical', node.id'fraction', node.id'fence'
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local math_char_t, sub_box_t, sub_mlist_t = node.id'math_char', node.id'sub_box', node.id'sub_mlist'
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local noad_sub = node.subtypes'noad'
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local radical_sub = node.subtypes'radical'
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local fence_sub = node.subtypes'fence'
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local remap_lookup = setmetatable({}, {__index = function(t, k)
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local ch = utf8.char(k & 0x1FFFFF)
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t[k] = ch
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return ch
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end})
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local digit_map = {["0"] = true, ["1"] = true,
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["2"] = true, ["3"] = true, ["4"] = true,
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["5"] = true, ["6"] = true, ["7"] = true,
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["8"] = true, ["9"] = true,}
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-- Two marker tables. They are used instead of an embellished operator to mark space-like or user provided constructs
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local user_provided, space_like = {}, {}
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local nodes_to_table
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local function sub_style(s) return s//4*2+5 end
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local function sup_style(s) return s//4*2+4+s%2 end
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-- The _to_table functions generally return a second argument which is
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-- could be (if it were a <mo>) a core operator of the embellishe operator
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-- or space_like/user_provided
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-- The delim_to_table and acc_to_table are special since their return value should
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-- always be considered a core operator
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-- We ignore large_... since they aren't used for modern fonts
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local function delim_to_table(delim)
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if not delim then return end
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local props = properties[delim] props = props and props.mathml_table
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if props then return props end
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local fam = delim.small_fam
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local char = remap_lookup[fam << 21 | delim.small_char]
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return {[0] = 'mo', char, ['tex:family'] = fam ~= 0 and fam or nil, stretchy = not stretchy[char] or nil }
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end
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-- Like kernel_to_table but always a math_char_t. Also creating a mo and potentially remapping to handle combining chars
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local function acc_to_table(acc, cur_style, stretch)
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if not acc then return end
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local props = properties[acc] props = props and props.mathml_table
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if props then return props end
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if acc.id ~= math_char_t then
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error'confusion'
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end
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local fam = acc.fam
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local char = remap_lookup[fam << 21 | acc.char]
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char = remap_comb[char] or char
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if stretch ~= not stretchy[char] then -- Handle nil gracefully in stretchy
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stretch = nil
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end
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return {[0] = 'mo', char, ['tex:family'] = fam ~= 0 and fam or nil, stretchy = stretch}
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end
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local function kernel_to_table(kernel, cur_style)
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if not kernel then return end
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local props = properties[kernel] props = props and props.mathml_table
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if props then return props, user_provided end
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local id = kernel.id
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if id == math_char_t then
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local fam = kernel.fam
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local char = remap_lookup[fam << 21 | kernel.char]
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local elem = digit_map[char] and 'mn' or 'mi'
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local result = {[0] = elem,
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char,
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['tex:family'] = fam ~= 0 and fam or nil,
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mathvariant = #char == 1 and utf8.codepoint(char) < 0x10000 and 'normal' or nil
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}
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return result, result
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elseif id == sub_box_t then
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local result = {[0] = 'mi', {[0] = 'mglyph', ['tex:box'] = kernel.list}}
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return result, result
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elseif id == sub_mlist_t then
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return nodes_to_table(kernel.list, cur_style)
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else
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error'confusion'
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end
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end
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local function do_sub_sup(t, core, n, cur_style)
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local sub = kernel_to_table(n.sub, sub_style(cur_style))
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local sup = kernel_to_table(n.sup, sup_style(cur_style))
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if sub then
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if sup then
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return {[0] = 'msubsup', t, sub, sup}, core
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else
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return {[0] = 'msub', t, sub}, core
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end
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elseif sup then
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return {[0] = 'msup', t, sup}, core
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else
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return t, core
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end
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end
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local function noad_to_table(noad, sub, cur_style)
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local class = noad_sub[sub]
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local nucleus, core = kernel_to_table(noad.nucleus, class == 'over' and cur_style//2*2+1 or cur_style)
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if class == 'ord' then
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elseif class == 'opdisplaylimits' or class == 'oplimits' or class == 'opnolimits' or class == 'bin' or class == 'rel' or class == 'open'
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or class == 'close' or class == 'punct' or class == 'inner' then
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if not core or not core[0] then
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-- TODO
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else
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core[0] = 'mo'
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if stretchy[core[1]] then core.stretchy = false end
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if core.mathvariant == 'normal' then core.mathvariant = nil end
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end
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nucleus['tex:class'] = class
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if (noad.sup or noad.sub) and (class == 'opdisplaylimits' or class == 'oplimits') then
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nucleus.movablelimits = class == 'opdisplaylimits'
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local sub = kernel_to_table(noad.sub, sub_style(cur_style))
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local sup = kernel_to_table(noad.sup, sup_style(cur_style))
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return {[0] = sup and (sub and 'munderover' or 'mover') or 'munder',
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nucleus,
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sub or sup,
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sub and sup,
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}, core
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end
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elseif class == 'under' then
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return {[0] = 'munder',
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nucleus,
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{[0] = 'mo', '_',},
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}, core
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elseif class == 'over' then
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return {[0] = 'mover',
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nucleus,
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{[0] = 'mo', '\u{203E}',},
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}, core
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elseif class == 'vcenter' then
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nucleus['tex:TODO'] = class
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else
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error[[confusion]]
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end
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return do_sub_sup(nucleus, core, noad, cur_style)
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end
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local function accent_to_table(accent, sub, cur_style)
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local nucleus, core = kernel_to_table(accent.nucleus, cur_style//2*2+1)
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local top_acc = acc_to_table(accent.accent, cur_style, sub & 1 == 1)
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local bot_acc = acc_to_table(accent.bot_accent, cur_style, sub & 2 == 2)
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return {[0] = top_acc and (bot_acc and 'munderover' or 'mover') or 'munder',
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nucleus,
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bot_acc or top_acc,
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bot_acc and top_acc,
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}, core
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end
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local style_table = {
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display = {displaystyle = "true", scriptlevel = "0"},
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text = {displaystyle = "false", scriptlevel = "0"},
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script = {displaystyle = "false", scriptlevel = "1"},
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scriptscript = {displaystyle = "false", scriptlevel = "2"},
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}
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style_table.crampeddisplay, style_table.crampedtext,
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style_table.crampedscript, style_table.crampedscriptscript =
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style_table.display, style_table.text,
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style_table.script, style_table.scriptscript
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local function radical_to_table(radical, sub, cur_style)
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local kind = radical_sub[sub]
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local nucleus, core = kernel_to_table(radical.nucleus, cur_style//2*2+1)
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local left = delim_to_table(radical.left)
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local elem
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if kind == 'radical' or kind == 'uradical' then
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-- FIXME: Check that this is really a square root
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elem, core = {[0] = 'msqrt', nucleus}, nil
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elseif kind == 'uroot' then
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-- FIXME: Check that this is really a root
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elem, core = {[0] = 'msqrt', nucleus, kernel_to_table(radical.degree)}, nil
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elseif kind == 'uunderdelimiter' then
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elem, core = {[0] = 'munder', left, nucleus}, left
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elseif kind == 'uoverdelimiter' then
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elem, core = {[0] = 'mover', left, nucleus}, left
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elseif kind == 'udelimiterunder' then
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elem = {[0] = 'munder', nucleus, left}
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elseif kind == 'udelimiterover' then
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elem = {[0] = 'mover', nucleus, left}
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else
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error[[confusion]]
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end
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return do_sub_sup(elem, core, radical, cur_style)
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end
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local function fraction_to_table(fraction, sub, cur_style)
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local num, core = kernel_to_table(fraction.num, sup_style(cur_style))
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local denom = kernel_to_table(fraction.denom, sub_style(cur_style))
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local left = delim_to_table(fraction.left)
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local right = delim_to_table(fraction.right)
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local mfrac = {[0] = 'mfrac',
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linethickness = fraction.width and fraction.width == 0 and 0 or nil,
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bevelled = fraction.middle and "true" or nil,
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num,
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denom,
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}
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if left then
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return {[0] = 'mrow',
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left,
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mfrac,
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right, -- might be nil
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}
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elseif right then
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return {[0] = 'mrow',
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mfrac,
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right,
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}
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else
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return mfrac, core
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end
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end
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local function fence_to_table(fence, sub, cur_style)
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local delim = delim_to_table(fence.delimiter)
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delim.fence = 'true'
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return delim, delim
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end
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local function space_to_table(amount, sub, cur_style)
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if amount == 0 then return end
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if sub == 99 then -- TODO magic number
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-- 18*2^16=1179648
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return {[0] = 'mspace', width = string.format("%.2fem", amount/1179648)}, space_like
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else
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-- 65781.76=tex.sp'100bp'/100
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return {[0] = 'mspace', width = string.format("%.2fpt", amount/65781.76)}, space_like
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end
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end
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function nodes_to_table(head, cur_style)
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local t = {[0] = "mrow"}
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local result = t
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local nonscript
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local core = space_like
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for n, id, sub in node.traverse(head) do
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local new_core
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local props = properties[n] props = props and props.mathml_table
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if props then
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t[#t+1], new_core = props, user_provided
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elseif id == noad_t then
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t[#t+1], new_core = noad_to_table(n, sub, cur_style)
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elseif id == accent_t then
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t[#t+1], new_core = accent_to_table(n, sub, cur_style)
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elseif id == style_t then
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if #t ~= 0 then
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local new_t = {[0] = 'mstyle'}
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t[#t+1] = new_t
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t = new_t
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end
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if sub < 2 then
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t.displaystyle, t.scriptlevel = true, 0
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else
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t.displaystyle, t.scriptlevel = false, sub//2 - 1
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end
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cur_style = sub
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new_core = space_like
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elseif id == choice_t then
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local size = cur_style//2
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t[#t+1], new_core = nodes_to_table(n[size == 0 and 'display'
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or size == 1 and 'text'
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or size == 2 and 'script'
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or size == 3 and 'scriptscript'
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or assert(false)], 2*size), space_like
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elseif id == radical_t then
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t[#t+1], new_core = radical_to_table(n, sub, cur_style)
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elseif id == fraction_t then
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t[#t+1], new_core = fraction_to_table(n, sub, cur_style)
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elseif id == fence_t then
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t[#t+1], new_core = fence_to_table(n, sub, cur_style)
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elseif id == kern_t then
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if not nonscript then
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t[#t+1], new_core = space_to_table(n.kern, sub, cur_style)
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end
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elseif id == glue_t then
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if cur_style >= 4 or not nonscript then
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if sub == 98 then -- TODO magic number
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nonscript = true
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else
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t[#t+1], new_core = space_to_table(n.width, sub, cur_style)
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end
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end
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else
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new_core = {[0] = 'tex:TODO', other = n}
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t[#t+1] = new_core
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end
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nonscript = nil
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if core and new_core ~= space_like then
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core = new_core
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end
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end
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return result, core
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end
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local function register_remap(family, mapping)
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family = family << 21
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for from, to in next, mapping do
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remap_lookup[family | from] = utf8.char(to)
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end
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end
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local function to_mml(head, style)
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local result = nodes_to_table(head, style or 0)
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result[0] = 'math'
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result.xmlns = 'http://www.w3.org/1998/Math/MathML'
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result['xmlns:tex'] = 'http://typesetting.eu/2021/LuaMathML'
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if style == 2 then
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result.display = 'block'
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end
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return result
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end
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return {
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register_family = register_remap,
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process = to_mml,
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}
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