Modul:number list

This module generates navigation boxes for number words, such as three, third, thrice, and triple. It is used by {{number box}}, {{cardinalbox}}, {{ordinalbox}}, and {{adverbialbox}}. The language-specific submodules are used by {{number box}}.
Language-specific submodules

local export = {}

local m_links = require("Module:links")

local form_types = {
	{key = "cardinal", display = "[[tőszámnév]]"},
	{key = "ordinal", display = "[[sorszámnév]]"},
	{key = "adverbial", display = "[[határozói]]"},
	{key = "multiplier", display = "[[szorzó]]"},
	{key = "distributive", display = "[[disztributív]]"},
	{key = "collective", display = "[[kollektív]]"},
	{key = "fractional", display = "[[tört]]"},
}

local function index_of_number_type(t, type)
	for i, subtable in ipairs(t) do
		if subtable.key == type then
			return i
		end
	end
end

-- additional_types is an array of tables like form_types,
-- but each table can contain the keys "before" or "after", which specify
-- the numeral type that the form should appear before or after.
-- The transformations are applied in order.
local function add_form_types(additional_types)
	local types = require "Module:table".deepcopy(form_types)
	for _, type in ipairs(additional_types) do
		type = require "Module:table".shallowcopy(type)
		local i
		if type.before or type.after then
			i = index_of_number_type(types, type.before or type.after)
		end
		-- For now, simply log an error message
		-- if the "before" or "after" number type was not found,
		-- and insert the number type at the end.
		if i then
			if type.before then
				table.insert(types, i - 1, type)
			else
				table.insert(types, i + 1, type)
			end
		else
			table.insert(types, type)
			if type.before or type.after then
				mw.log("Number type "
					.. (type.before or type.after)
					.. " was not found.")
			end
		end
		type.before, type.after = nil, nil
	end
	return types
end

function export.get_number_types(language_code)
	local m_data = require("Module:number list/data/" .. language_code)
	local final_form_types = form_types
	if m_data.additional_number_types then
		final_form_types = add_form_types(m_data.additional_number_types)
	end
	return final_form_types
end

function export.display_number_type(number_type)
	if number_type.display then
		return number_type.display
	else
		return (number_type.key:gsub("^.", string.upper):gsub("_", " "))
	end
end

local a = ("a"):byte()
local function multiple_num_links(terms, lang)
	local links = {}
	for i, term in ipairs(terms) do
		links[i] = m_links.language_link{lang = lang, term = term, alt = "[" .. string.char(a + i - 1) .. "]", tr = "-"}
	end
	return "<sup>" .. table.concat(links, ", ") .. "</sup>"
end

function map(func, array)
	local new_array = {}
	for i,v in ipairs(array) do
		new_array[i] = func(v)
	end
	return new_array
end

local function unsuffix(term)
	if type(term) == "table" then
		return map(unsuffix, term)
	end
	if term:find("^-a ") ~= nil then
		return term:sub(4)
	end
	if term:sub(1, 1) == "-" then
		return term:sub(2)
	end
	return term
end

-- See [[w:Digit grouping]].
local function add_separator(number, separator, group, start)
	number = tostring(number)
	start = start or group
	if start >= #number then
		return number
	end
	
	local parts = { number:sub(-start) }
	for i = start + 1, #number, group do
		table.insert(parts, 1, number:sub(-(i + group - 1), -i))
	end
	
	return table.concat(parts, separator)
end

local function add_thousands_separator(number, separator)
	return add_separator(number, separator, 3)
end

local function add_Indic_separator(number, separator)
	return add_separator(number, separator, 2, 3)
end

local function format_Hungarian_number(number)
	-- Prevent large numbers, such as 100 trillion ([[རབ་བཀྲམ་ཆེན་པོ]]) from being
	-- displayed in scientific notation (1+e14).
	local display = ("%i"):format(number)
	if number >= 10000 then
		-- add non-breaking spaces
		display = add_thousands_separator(display, mw.ustring.char(0xa0))
	end
	return display
end

function export.generate_decimal_numeral(numeral_config, number)
	if type(number) ~= "number" then
		return nil
	end
	
	if numeral_config.module and numeral_config.func then
		return require("Module:" .. numeral_config.module)[numeral_config.func](number)
	end
	
	local thousands_separator, Indic_separator, zero_codepoint =
		numeral_config.thousands_separator,
		numeral_config.Indic_separator,
		numeral_config.zero_codepoint
	
	if not zero_codepoint then
		return nil
	end
	
	local number_string = tostring(number)
	
	if thousands_separator then
		number_string = add_thousands_separator(number_string, thousands_separator)
	elseif Indic_separator then
		number_string = add_Indic_separator(number_string, Indic_separator)
	end
	
	return number_string:gsub("[0-9]", function (digit)
		return mw.ustring.char(zero_codepoint + tonumber(digit))
	end)
end


local function remove_duplicate_entry_names(lang, terms)
	local entries = require "Module:fun".map(
		function(term) return lang:makeEntryName(term) end,
		terms)
	local entry_set = {}
	return require "Module:fun".filter(
		function(entry)
			local already_seen = entry_set[entry]
			entry_set[entry] = true
			return not already_seen
		end,
		entries)
end


function export.show_box(frame)
	local full_link = m_links.full_link
	
	local params = {
		[1] = {required = true},
		[2] = {required = true},
		[3] = {},
		[4] = {},
		["type"] = {},
	}
	
	local args = require("Module:parameters").process(frame:getParent().args, params)
	
	local lang = args[1] or "und"
	local cur_num = args[2] or 2
	local cur_type = args.type
	if not (type(cur_num) == "number" or cur_num:find "^%d+$") then
		error("Extraneous characters in parameter 2: should be decimal number (integer).")
	end
	local alt_pagename = args[3] or false
	local remove_suffix = args[4] or false
	lang = require("Module:languages").getByCode(lang) or error("The language code \"" .. lang .. "\" is not valid.")
	
	-- Get the data from the data module.
	-- [[Module:number list/data/en]] has to be loaded with require because its
	-- exported numbers table has a metatable.
	local module_name = "Module:number list/data/" .. lang:getCode()
	local m_data = require(module_name)
	
	-- Numbers that can't be represented exactly as a Lua number
	-- must be stored as a string. The first power of 10 that cannot be
	-- represented exactly is 10^22 (ten sextillion in short scale,
	-- ten thousand trillion in long scale), but the first power of ten whose
	-- neighboring numbers cannot be represented exactly
	-- is 10^16 (ten quadrillion or ten thousand billion).
	-- The number data must be looked up using the string, but after that
	-- the number string must be converted to a number, because some code
	-- after this point requires a number. This might cause bugs!
	-- Ideally we would use a big integer library of some kind.
	local cur_data = m_data.numbers[cur_num] or m_data.numbers[tonumber(cur_num)]
	
	if not cur_data then
		error('The number "' .. cur_num .. '" is not found in the "numbers" table in [[' .. module_name .. ']].')
	end
	-- Save original cur_num if it is a string, for use below.
	orig_cur_num = cur_num
	cur_num = tonumber(cur_num)
	
	-- Go over each number and make links
	local forms = {}
	local full_pagename = (mw.title.getCurrentTitle().nsText=="Reconstruction" and "*" or "") .. mw.title.getCurrentTitle().subpageText
	if alt_pagename then full_pagename = alt_pagename end
	
	if cur_type and not cur_data[cur_type] then
		error("The numeral type " .. cur_type .. " for " .. orig_cur_num
			.. " is not found in [[" .. module_name .. "]].")
	end
	
	for _, form_type in ipairs(export.get_number_types(lang:getCode())) do
		local numeral = cur_data[form_type.key]
		if numeral then
			local form = {}
			local numerals
			if type(numeral) == "string" then
				numerals = {numeral}
			elseif type(numeral) == "table" then
				numerals = numeral
			end
			
			for _, numeral in ipairs(numerals) do
				-- If this number is the current page, then store the key for later use
				if not cur_type and lang:makeEntryName(numeral) == full_pagename then
					cur_type = form_type.key
				end
				
				table.insert(form, full_link({lang = lang, term = remove_suffix and unsuffix(numeral) or numeral, alt = numeral }))
			end
			
			local displayed_number_type = export.display_number_type(form_type)
			if form_type.key == cur_type then
				displayed_number_type = "'''" .. displayed_number_type .. "'''"
			end
				
			table.insert(forms, " &nbsp;&nbsp;&nbsp; ''" .. displayed_number_type .. "'': " .. table.concat(form, ", "))
		end
	end
	
	if not cur_type and mw.title.getCurrentTitle().nsText ~= "Sablon" then
		error("The current page name does not match any of the numbers listed in [[" .. module_name .. "]] for " .. cur_num .. ". Check the data module or the spelling of the page.")
	end
	
	-- Current number in header
	local cur_display = format_Hungarian_number(cur_num)
	
	local numeral
	if m_data.numeral_config then
		numeral = export.generate_decimal_numeral(m_data.numeral_config, cur_num)
	elseif cur_data["numeral"] then
		numeral = tostring(cur_data["numeral"])
	end
	
	if numeral then
		cur_display = full_link({lang = lang, alt = numeral, tr = "-"}) .. "<br/><span style=\"font-size: smaller;\">" .. cur_display .. "</span>"
	end
	
	-- Link to previous number
	local prev_data = m_data.numbers[cur_num - 1]
	local prev_display = ""
	
	--	Current format:
	--		if multiple entries:
	--			<sup>[a], [b], ...</sup> ← <numeral>
	--		else
	--			← <numeral>
	local prev_num = prev_data and prev_data[cur_type]
	if prev_num then
		local entries
		if type(prev_num) == "table" then
			entries = remove_duplicate_entry_names(lang, prev_num)
		else
			entries = { prev_num }
		end
		
		mw.logObject(prev_num, 'prev_num')
		mw.logObject(entries, 'entries')
		
		if #entries > 1 then
			prev_display = multiple_num_links(remove_suffix and unsuffix(entries) or entries, lang)
				.. "&nbsp;←&nbsp;&nbsp;" .. format_Hungarian_number(cur_num - 1)
		else
			prev_display = m_links.language_link {
				lang = lang,
				term = remove_suffix and unsuffix(entries[1]) or entries[1],
				alt = "&nbsp;←&nbsp;&nbsp;" .. format_Hungarian_number(cur_num - 1),
				tr = "-",
			}
		end
	end
	
	-- Link to next number
	local next_data = m_data.numbers[cur_num + 1]
	local next_display = ""
	
	--	Current format:
	--		if multiple entries:
	--			<numeral> → <sup>[a], [b], ...</sup>
	--		else
	--			<numeral> →
	local next_num = next_data and next_data[cur_type]
	if next_num then
		local entries
		if type(next_num) == "table" then
			entries = remove_duplicate_entry_names(lang, next_num)
		else
			entries = { next_num }
		end
		
		if #entries > 1 then
			next_display = format_Hungarian_number(cur_num + 1) .. "&nbsp;&nbsp;→&nbsp;"
				.. multiple_num_links(remove_suffix and unsuffix(entries) or entries, lang)
		else
			next_display = m_links.language_link {
				lang = lang,
				term = remove_suffix and unsuffix(entries[1]) or entries[1],
				alt = format_Hungarian_number(cur_num + 1) .. "&nbsp;&nbsp;→&nbsp;",
				tr = "-",
			}
		end
	end
	
	-- Link to number times ten and divided by ten
	-- Show this only if the number is a power of ten times a number 1-9 (that is, of the form x000...)
	local up_display
	local down_display
	
	-- This test *could* be done numerically, but this is nice and simple and it works.
	if tostring(cur_num):find("^[1-9]0*$") then
		up_num = cur_num * 10
		local up_data = m_data.numbers[up_num]
		
		if up_data and up_data[cur_type] then
			if type(up_data[cur_type]) == "table" then
				up_display = format_Hungarian_number(up_num) .. multiple_num_links(remove_suffix and unsuffix(up_data[cur_type]) or up_data[cur_type], lang)
			else
				up_display = full_link({lang = lang, term = remove_suffix and unsuffix(up_data[cur_type]) or up_data[cur_type], alt = format_Hungarian_number(up_num), tr = "-"})
			end
		end
		
		-- Only divide by 10 if the number is at least 10
		if cur_num >= 10 then
			local down_num = cur_num / 10
			local down_data = m_data.numbers[down_num]
			
			if down_data and down_data[cur_type] then
				if type(down_data[cur_type]) == "table" then
					down_display = format_Hungarian_number(down_num) .. multiple_num_links(remove_suffix and unsuffix(down_data[cur_type]) or down_data[cur_type], lang)
				else
					down_display = full_link({lang = lang, term = remove_suffix and unsuffix(down_data[cur_type]) or down_data[cur_type], alt = format_Hungarian_number(down_num), tr = "-"})
				end
			end
		end
	end
	
	local canonical_name = lang:getCanonicalName()
	local appendix1 = canonical_name .. ' számnevek'
	local appendix2 = canonical_name .. ' számok'
	local appendix
	local title
	
	if appendix then
		title = '[[Függelék:' .. appendix .. '|' .. appendix2 .. ']]'
	else
		title = appendix2
	end
	
	local edit_link = ' <sup>(<span class="plainlinks">[' ..
		tostring(mw.uri.fullUrl(module_name, { action = "edit" })) ..
		" szerkesztés]</span>)</sup>"
	
	return [=[{| class="floatright" cellpadding="5" cellspacing="0" style="background: #ffffff; border: 1px #aaa solid; border-collapse: collapse; margin-top: .5em;" rules="all" 
|+ ''']=] .. title .. edit_link .. "'''" ..
(up_display and [=[

|- style="text-align: center; background:#dddddd;"
|
| style="font-size:smaller;" | ]=] .. up_display .. [=[

|
]=] or "\n") .. [=[|- style="text-align: center;"
| style="min-width: 6em; font-size:smaller; background:#dddddd;" | ]=] .. prev_display .. [=[

! style="min-width: 6em; font-size:larger;" | ]=] .. cur_display .. [=[

| style="min-width: 6em; font-size:smaller; background:#dddddd;" | ]=] .. next_display .. [=[

]=] .. (down_display and [=[|- style="text-align: center; background:#dddddd;"
|
| style="font-size:smaller;" | ]=] .. down_display .. [=[

|
]=] or "") .. [=[|-
| colspan="3" | ]=] .. table.concat(forms, "<br/>") .. [=[

|}]=]	
end


local trim = mw.text.trim

-- Assumes string or nil (or false), the types that can be found in an args table.
local function if_not_empty(val)
	if val and trim(val) == "" then
		return nil
	else
		return val
	end
end


function export.show_box_manual(frame)
	local m_links = require("Module:links")
	local num_type = frame.args["type"]
	
	local args = {}
	--cloning parent's args while also assigning nil to empty strings
	for pname, param in pairs(frame:getParent().args) do
		args[pname] = if_not_empty(param)
	end
	
	local lang = args[1] or (mw.title.getCurrentTitle().nsText == "Sablon" and "und") or error("Language code has not been specified. Please pass parameter 1 to the template.")
	local sc = args["sc"]; 
	local headlink = args["headlink"]
	local wplink = args["wplink"]
	local alt = args["alt"]
	local tr = args["tr"]
	
	local prev_symbol = if_not_empty(args[2])
	local cur_symbol = if_not_empty(args[3]);
	local next_symbol = if_not_empty(args[4])
	
	local prev_term = if_not_empty(args[5])
	local next_term = if_not_empty(args[6])	

	local cardinal_term = args["card"]; local cardinal_alt = args["cardalt"]; local cardinal_tr = args["cardtr"]
	
	local ordinal_term = args["ord"]; local ordinal_alt = args["ordalt"]; local ordinal_tr = args["ordtr"]
	
	local adverbial_term = args["adv"]; local adverbial_alt = args["advalt"]; local adverbial_tr = args["advtr"]
	
	local multiplier_term = args["mult"]; local multiplier_alt = args["multalt"]; local multiplier_tr = args["multtr"]
	
	local distributive_term = args["dis"]; local distributive_alt = args["disalt"]; local distributive_tr = args["distr"]
	
	local collective_term = args["coll"]; local collective_alt = args["collalt"]; local collective_tr = args["colltr"]
	
	local fractional_term = args["frac"]; local fractional_alt = args["fracalt"]; local fractional_tr = args["fractr"]
	
	local optional1_title = args["opt"]
	local optional1_term = args["optx"]; local optional1_alt = args["optxalt"]; local optional1_tr = args["optxtr"]
	
	local optional2_title = args["opt2"]
	local optional2_term = args["opt2x"]; local optional2_alt = args["opt2xalt"]; local optional2_tr = args["opt2xtr"]
	

	lang = require("Module:languages").getByCode(lang) or error("The language code \"" .. lang .. "\" is not valid.")
	sc = (sc and (require("Module:scripts").getByCode(sc) or error("The script code \"" .. sc .. "\" is not valid.")) or nil)
	
	require("Module:debug").track("number list/" .. lang:getCode())
	
	if sc then
		require("Module:debug").track("number list/sc")
	end
	
	if headlink then
		require("Module:debug").track("number list/headlink")
	end
	
	if wplink then
		require("Module:debug").track("number list/wplink")
	end
	
	if alt then
		require("Module:debug").track("number list/alt")
	end
	
	if cardinal_alt or ordinal_alt or adverbial_alt or multiplier_alt or distributive_alt or collective_alt or fractional_alt or optional1_alt or optional2_alt then
		require("Module:debug").track("number list/xalt")
	end
	
	local lang_type = lang:getType()
	local subpage = mw.title.getCurrentTitle().subpageText
	local is_reconstructed = lang_type == "reconstructed" or mw.title.getCurrentTitle().nsText == "Reconstruction"
	alt = alt or (is_reconstructed and "*" or "") .. subpage
	
	if num_type == "cardinal" then
		cardinal_term = (is_reconstructed and "*" or "") .. subpage
		cardinal_alt = alt
		cardinal_tr = tr
	elseif num_type == "ordinal" then
		ordinal_term = (is_reconstructed and "*" or "") .. subpage
		ordinal_alt = alt
		ordinal_tr = tr
	end
	
	local header = lang:getCanonicalName() .. " számok"
	
	if headlink then
		header = "[[" .. headlink .. "|" .. header .. "]]"
	end
	
	local previous = ""
	
	if prev_term or prev_symbol then
		previous = m_links.full_link({lang = lang, sc = sc, term = prev_term, alt = "&nbsp;&lt;&nbsp;&nbsp;" .. prev_symbol, tr = "-"})
	end
	
	local current = m_links.full_link({lang = lang, sc = sc, alt = cur_symbol, tr = "-"})
	
	local next = ""
	
	if next_term or next_symbol then
		next = m_links.full_link({lang = lang, sc = sc, term = next_term, alt = next_symbol .. "&nbsp;&nbsp;&gt;&nbsp;", tr = "-"})
	end
	
	local forms = {}
	
	if cardinal_term then
		table.insert(forms, " &nbsp;&nbsp;&nbsp; ''[[tőszámnév]]'' : " .. m_links.full_link({lang = lang, sc = sc, term = cardinal_term, alt = cardinal_alt, tr = cardinal_tr}))
	end
	
	if ordinal_term then
		table.insert(forms, " &nbsp;&nbsp;&nbsp; ''[[sorszámnév]]'' : " .. m_links.full_link({lang = lang, sc = sc, term = ordinal_term, alt = ordinal_alt, tr = ordinal_tr}))
	end
	
	if adverbial_term then
		table.insert(forms, " &nbsp;&nbsp;&nbsp; ''[[adverbial number|Adverbial]]'' : " .. m_links.full_link({lang = lang, sc = sc, term = adverbial_term, alt = adverbial_alt, tr = adverbial_tr}))
	end
	
	if multiplier_term then
		table.insert(forms, " &nbsp;&nbsp;&nbsp; ''[[multiplier|Multiplier]]'' : " .. m_links.full_link({lang = lang, sc = sc, term = multiplier_term, alt = multiplier_alt, tr = multiplier_tr}))
	end
	
	if distributive_term then
		table.insert(forms, " &nbsp;&nbsp;&nbsp; ''[[distributive number|Distributive]]'' : " .. m_links.full_link({lang = lang, sc = sc, term = distributive_term, alt = distributive_alt, tr = distributive_tr}))
	end
	
	if collective_term then
		table.insert(forms, " &nbsp;&nbsp;&nbsp; ''[[collective number|Collective]]'' : " .. m_links.full_link({lang = lang, sc = sc, term = collective_term, alt = collective_alt, tr = collective_tr}))
	end
	
	if fractional_term then
		table.insert(forms, " &nbsp;&nbsp;&nbsp; ''[[fractional|Fractional]]'' : " .. m_links.full_link({lang = lang, sc = sc, term = fractional_term, alt = fractional_alt, tr = fractional_tr}))
	end
	
	if optional1_title then
		table.insert(forms, " &nbsp;&nbsp;&nbsp; ''" .. optional1_title .. "'' : " .. m_links.full_link({lang = lang, sc = sc, term = optional1_term, alt = optional1_alt, tr = optional1_tr}))
	end
	
	if optional2_title then
		table.insert(forms, " &nbsp;&nbsp;&nbsp; ''" .. optional2_title .. "'' : " .. m_links.full_link({lang = lang, sc = sc, term = optional2_term, alt = optional2_alt, tr = optional2_tr}))
	end
	
	local footer = ""
	
	if wplink then
		footer =
			"[[w:" .. lang:getCode() .. ":Main Page|" .. lang:getCanonicalName() .. " Wikipedia]] article on " ..
			m_links.full_link({lang = lang, sc = sc, term = "w:" .. lang:getCode() .. ":" .. wplink, alt = alt, tr = tr})
	end
	
	return [=[{| width="20%" class="floatright" cellpadding="5" cellspacing="0" style="background: #ffffff; border: 1px #aaa solid; border-collapse: collapse; margin-top: .5em;" rules="all" 
|+ ''']=] .. header .. [=['''
|-
| style="width: 64px; background:#dddddd; text-align: center; font-size:smaller;" | ]=] .. previous .. [=[

! style="width: 98px; text-align: center; font-size:larger;" | ]=] .. current .. [=[

| style="width: 64px; text-align: center; background:#dddddd; font-size:smaller;" | ]=] .. next .. [=[

|-
| colspan="3" | ]=] .. table.concat(forms, "<br/>") .. [=[

|-
| colspan="3" style="text-align: center; background: #dddddd;" | ]=] .. footer .. [=[

|}]=]
end

return export