모듈:Val

-- 틀:Val을 위한 숫자와 추가로 단위를 출력한다.
-- 형식은 과학적, 유효숫자 표기법을 포함한다.
local data_module  -- 단위를 지정하는 모듈의 이름
local function valerror(msg, nocat, iswarning)
	-- 오류나 경고를 위해 형식 지정된 메세지를 반환한다.
	-- 문제를 찾기 위해 문서에 페이지의 URL에 "#FormattingError"를 추가할 수 있다.
	local anchor = 
	local body, category
	if nocat or mw.title.getCurrentTitle():inNamespaces(1, 2, 3, 5) then
		-- 토론, 사용자, 사용자_토론, 또는 위키백과_토론에 문서가 없을 때.
		category = 
	else
		category = '분류:잘못된 틀 사용을 포함한 문서'
	end
--	iswarning = false  -- 문제가 잦지 않기 때문에 편집자가 알 수 있도록 큰 오류를 띄우려고 하는 것이다.
	if iswarning then
		body =  ..
			'warning'
	else
		body =  ..
			'에서 오류가 발생함: ' ..
			msg ..
			
	end
	return anchor .. body .. category
end
local range_types = {
	-- 모든 출력에 개행금지가 적용되어 있기 때문에 ' '가 필요하다.
	","   = ", ",
	"by"  = " by ",
	"-"   = "–",
	"–"   = "–",
	"and" = " and ",
	"or"  = " or " ,
	"to"  = " to " ,
	"x"   = " × ",
	"×"   = " × ",
	"/"   = "/",
}
local range_repeat_unit = {
	-- WP:UNIT wants unit repeated when a "multiply" range is used.
	"x"   = true,
	"×"   = true,
}
local function extract_item(index, numbers, arg)
	-- arg에서 원소를 추출하고 그 결과를  numbersindex에 저장한다.
	-- 만약 인자가 없거나, 유효하다면, nil (오류 없음)을 반환한다;
	-- 그렇지 않으면, 오류 메세지를 반환한다.
	-- 저장된 결과는 다음과 같다:
	-- * 숫자로 이루어진 표 (특정된 숫자가 없다면 비어있다); 또는
	-- * 범위를 지정하는 문자열
	-- 1e3과 같은 입력은 인수 1을 제외하고는 어느 곳에서든 유효하지 않은 것으로 간주된다.
	-- 왜냐하면 인수 1은 e 표기법을 인수 'e'로 입력된 것 처럼 받아들이기 때문이다.
	-- 입력의 쉼표는 생략되기 때문에 1,234는 1234와 동일하다.
	local which = index
	local function fail(msg)
		local description
		if which == 'e' then
			description = '지수 인수 (e)'
		else
			description = '인수 ' .. which
		end
		return description .. ' ' .. (msg or '은(는) 유효하지 않은 숫자입니다') .. '.'
	end
	local result = {}
	local range = range_typesarg
	if range then
		if type(index) == 'number' and (index % 2 == 0) then
			if index == 2 then
				if numbers1 and numbers1.exp then
					return fail('은(는) 첫 번째 인수에 "e"가 포함되어 있을 경우 범위로 사용할 수 없습니다')
				end
				numbers.has_ranges = true
			else
				if not numbers.has_ranges then
					return fail('은(는) 인수 2에서 범위가 필요합니다')
				end
			end
			numbersindex = range
			if range_repeat_unitarg then
				-- Any "repeat" range forces unit (if any) to be repeated for all items.
				numbers.isrepeat = true
			end
			return nil
		end
		return fail('은(는) 범위로 사용될 수 없습니다')
	end
	if numbers.has_ranges and type(index) == 'number' and (index % 2 == 0) then
		return fail('은(는) 범위여야 합니다')
	end
	if index == 'e' then
		local e = numbers1 and numbers1.exp
		if e then
			if arg then
				return fail('은(는) 첫 번째 인수에 "e"가 있을 경우 사용할 수 없습니다')
			end
			arg = e
			which = 1
		end
	end
	if arg and arg ~=  then
		arg = arg:gsub(',', )
		if arg:sub(1, 1) == '(' and arg:sub(-1) == ')' then
			result.parens = true
			arg = arg:sub(2, -2)
		end
		local a, b = arg:match('^(.+)Ee(.+)$')
		if a then
			if index == 1 then
				arg = a
				result.exp = b
			else
				return fail('은(는) e 표기법으로 쓸 수 없습니다')
			end
		end
		local isnegative, propersign, prefix
		local minus = '−'
		prefix, arg = arg:match('^(.-)(%d.+)$')
		local value = tonumber(arg)
		if not value then
			return fail()
		end
		if arg:sub(1, 1) == '.' then
			arg = '0' .. arg
		end
		if prefix ==  then
			-- Ignore.
		elseif prefix == '±' then
			-- Display for first number, ignore for others.
			if index == 1 then
				propersign = '±'
			end
		elseif prefix == '+' then
			propersign = '+'
		elseif prefix == '-' or prefix == minus then
			propersign = minus
			isnegative = true
		else
			return fail()
		end
		result.clean = arg
		result.sign = propersign or 
		result.value = isnegative and -value or value
	end
	numbersindex = result
	return nil  -- no error
end
local function get_args(numbers, args)
	-- Extract arguments and store the results in numbers.
	-- Return nothing (no error) if ok; otherwise, return an error message.
	for index = 1, 99 do
		local which = index
		local arg = argswhich  -- has been trimmed
		if not arg then
			which = 'e'
			arg = argswhich
		end
		local msg = extract_item(which, numbers, arg)
		if msg then
			return msg
		end
		if which == 'e' then
			break
		end
		if index > 19 then
			return '인수가 너무 많습니다'
		end
	end
	if numbers.has_ranges and (#numbers % 2 == 0) then
		return '마지막 인수 뒤에 범위가 될 숫자가 필요합니다.'
	end
end
local function get_scale(text, ucode)
	-- Return the value of text as a number, or throw an error.
	-- This supports extremely basic expressions of the form:
	--   a / b
	--   a ^ b
	-- where a and b are numbers or 'pi'.
	local n = tonumber(text)
	if n then
		return n
	end
	n = text:gsub('pi', math.pi)
	for _, op in ipairs({ '/', '^' }) do
		local a, b = n:match('^(.-)' .. op .. '(.*)$')
		if a then
			a = tonumber(a)
			b = tonumber(b)
			if a and b then
				if op == '/' then
					return a / b
				elseif op == '^' then
					return a ^ b
				end
			end
			break
		end
	end
	error('단위 "' .. ucode .. '" 은(는) 잘못된 단위입니다 "' .. text .. '"')
end
local function get_builtin_unit(ucode, definitions)
	-- Return table of information for the specified built-in unit, or nil if not known.
	-- Each defined unit code must be followed by two spaces (not tab characters).
	local _, pos = definitions:find('\n' .. ucode .. '  ', 1, true)
	if pos then
		local endline = definitions:find('%s*\n', pos)
		if endline then
			local result = {}
			local n = 0
			local text = definitions:sub(pos + 1, endline - 1):gsub('%s%s+', '\t')
			for item in (text .. '\t'):gmatch('(%S.-)\t') do
				if item == 'ALIAS' then
					result.alias = true
				elseif item == 'ANGLE' then
					result.isangle = true
					result.nospace = true
				elseif item == 'NOSPACE' then
					result.nospace = true
				elseif item == 'SI' then
					result.si = true
				else
					n = n + 1
					if n == 1 then
						local link, symbol = item:match('^%%(.+)%%$')
						if link then
							result.symbol = symbol
							result.link = link
							n = 2
						else
							result.symbol = item
						end
					elseif n == 2 then
						result.link = item
					elseif n == 3 then
						result.scale_text = item
						result.scale = get_scale(item, ucode)
					else
						result.more_ignored = item
						break
					end
				end
			end
			if result.si then
				local s = result.symbol
				if ucode == 'mc' .. s or ucode == 'mu' .. s then
					result.ucode = 'µ' .. s  -- unit code for convert should be this
				end
			end
			if n >= 2 or (n >= 1 and result.alias) then
				return result
			end
			-- Ignore invalid definition, treating it as a comment.
		end
	end
end
local function convert_lookup(ucode, value, scaled_top, want_link, si, options)
	local lookup = require('모듈:Convert')._unit
	return lookup(ucode, {
			value = value,
			scaled_top = scaled_top,
			link = want_link,
			si = si,
			sort = options.sortable,
		})
end
local function get_unit(ucode, value, scaled_top, options)
	local want_link = options.want_link
	if scaled_top then
		want_link = options.want_per_link
	end
	local data = mw.loadData(data_module)
	local result = options.want_longscale and
		get_builtin_unit(ucode, data.builtin_units_long_scale) or
		get_builtin_unit(ucode, data.builtin_units)
	local si, use_convert
	if result then
		if result.alias then
			ucode = result.symbol
			use_convert = true
		end
		if result.scale then
			-- Setting si means convert will use the unit as given, and the sort key
			-- will be calculated from the value without any extra scaling that may
			-- occur if convert found the unit code. For example, if val defines the
			-- unit 'year' with a scale and if si were not set, convert would also apply
			-- its own scale because convert knows that a year is 31,557,600 seconds.
			si = { result.symbol, result.link }
			value = value * result.scale
		end
		if result.si then
			ucode = result.ucode or ucode
			si = { result.symbol, result.link }
			use_convert = true
		end
	else
		result = {}
		use_convert = true
	end
	local convert_unit = convert_lookup(ucode, value, scaled_top, want_link, si, options)
	result.sortkey = convert_unit.sortspan
	if use_convert then
		result.text = convert_unit.text
		result.scaled_top = convert_unit.scaled_value
	else
		if want_link then
			result.text =  .. result.symbol .. 
		else
			result.text = result.symbol
		end
		result.scaled_top = value
	end
	return result
end
local function makeunit(value, options)
	-- Return table of information for the requested unit and options, or
	-- return nil if no unit.
	options = options or {}
	local unit
	local ucode = options.u
	local percode = options.per
	if ucode then
		unit = get_unit(ucode, value, nil, options)
	elseif percode then
		unit = { nospace = true, scaled_top = value }
	else
		return nil
	end
	local text = unit.text or 
	local sortkey = unit.sortkey
	if percode then
		local function bracketed(code, text)
			return code:find('*./') and '(' .. text .. ')' or text
		end
		local perunit = get_unit(percode, 1, unit.scaled_top, options)
		text = (ucode and bracketed(ucode, text) or ) ..
				'/' .. bracketed(percode, perunit.text)
		sortkey = perunit.sortkey
	end
	if not (unit.nospace or options.nospace) then
		text = ' ' .. text
	end
	return { text = text, isangle = unit.isangle, sortkey = sortkey }
end
local function list_units(mode)
	-- Return wikitext to list the built-in units.
	-- A unit code should not contain wikimarkup so don't bother escaping.
	local data = mw.loadData(data_module)
	local definitions = data.builtin_units .. data.builtin_units_long_scale
	local last_was_blank = true
	local n = 0
	local result = {}
	local function add(line)
		if line ==  then
			last_was_blank = true
		else
			if last_was_blank and n > 0 then
				n = n + 1
				resultn = 
			end
			last_was_blank = false
			n = n + 1
			resultn = line
		end
	end
	local si_prefixes = {
		-- These are the prefixes recognized by convert; u is accepted for micro.
		y = 'y',
		z = 'z',
		a = 'a',
		f = 'f',
		p = 'p',
		n = 'n',
		u = 'µ',
		'µ' = 'µ',
		m = 'm',
		c = 'c',
		d = 'd',
		da = 'da',
		h = 'h',
		k = 'k',
		M = 'M',
		G = 'G',
		T = 'T',
		P = 'P',
		E = 'E',
		Z = 'Z',
		Y = 'Y',
	}
	local function is_valid(ucode, unit)
		if unit and not unit.more_ignored then
			assert(type(unit.symbol) == 'string' and unit.symbol ~= )
			if unit.alias then
				if unit.link or unit.scale_text or unit.si then
					return false
				end
			end
			if unit.si then
				if unit.scale_text then
					return false
				end
				ucode = unit.ucode or ucode
				local base = unit.symbol
				if ucode == base then
					unit.display = base
					return true
				end
				local plen = #ucode - #base
				if plen > 0 then
					local prefix = si_prefixesucode:sub(1, plen)
					if prefix and ucode:sub(plen + 1) == base then
						unit.display = prefix .. base
						return true
					end
				end
			else
				unit.display = unit.symbol
				return true
			end
		end
		return false
	end
	local lookup = require('Module:Convert')._unit
	local function show_convert(ucode, unit)
		-- If a built-in unit defines a scale or sets the SI flag, any unit defined in
		-- convert is not used (the scale or SI prefix's scale is used for a sort key).
		-- If there is no scale or SI flag, and the unit is not defined in convert,
		-- the sort key may not be correct; this allows such units to be identified.
		if not (unit.si or unit.scale_text) then
			if mode == 'convert' then
				unit.show = not lookup(unit.alias and unit.symbol or ucode).unknown
				unit.show_text = 'CONVERT'
			elseif mode == 'unknown' then
				unit.show = lookup(unit.alias and unit.symbol or ucode).unknown
				unit.show_text = 'UNKNOWN'
			elseif not unit.alias then
				-- Show convert's scale in square brackets ('1' for an unknown unit).
				-- Don't show scale for an alias because it's misleading for temperature
				-- and an alias is probably not useful for anything else.
				local scale = lookup(ucode, {value=1, sort='on'}).scaled_value
				if type(scale) == 'number' then
					scale = string.format('%.5g', scale):gsub('e%+?(%-?)0*(%d+)', 'e%1%2')
				else
					scale = '?'
				end
				unit.show = true
				unit.show_text =  .. scale .. 
			end
		end
	end
	for line in definitions:gmatch('(^\n*)\n') do
		local pos, _ = line:find('  ', 1, true)
		if pos then
			local ucode = line:sub(1, pos - 1)
			local unit = get_builtin_unit(ucode, '\n' .. line .. '\n')
			if is_valid(ucode, unit) then
				show_convert(ucode, unit)
				local flags, text
				if unit.alias then
					text = unit.symbol
				else
					text =  .. unit.display .. 
				end
				if unit.isangle then
					unit.nospace = nil  -- don't show redundant flag
				end
				for _, f in ipairs({
						{ 'alias', 'ALIAS' },
						{ 'isangle', 'ANGLE' },
						{ 'nospace', 'NOSPACE' },
						{ 'si', 'SI' },
						{ 'scale_text', unit.scale_text },
						{ 'show', unit.show_text },
					}) do
					if unitf1 then
						local t = f2
						if t:match('^%u+$') then
							t =  .. t .. 
						end
						if flags then
							flags = flags .. ' ' .. t
						else
							flags = t
						end
					end
				end
				if flags then
					text = text .. ' • ' .. flags
				end
				add(ucode .. ' = ' .. text .. )
			else
				add(line .. ' ◆ invalid definition')
			end
		else
			add(line)
		end
	end
	return table.concat(result, '\n')
end
local delimit_groups = require('모듈:Gapnum').groups
local function delimit(sign, numstr, fmt)
	-- Return sign and numstr (unsigned digits or '.' only) after formatting.
	-- Four-digit integers are not formatted with gaps.
	fmt = (fmt or ):lower()
	if fmt == 'none' or (fmt ==  and #numstr == 4 and numstr:match('^%d+$')) then
		return sign .. numstr
	end
	-- Group number by integer and decimal parts.
	-- If there is no decimal part, delimit_groups returns only one table.
	local ipart, dpart = delimit_groups(numstr)
	local result
	if fmt == 'commas' then
		result = sign .. table.concat(ipart, ',')
		if dpart then
			result = result .. '.' .. table.concat(dpart)
		end
	else
		-- Delimit with a small gap by default.
		local groups = {}
		groups1 = table.remove(ipart, 1)
		for _, v in ipairs(ipart) do
			table.insert(groups,  .. v .. )
		end
		if dpart then
			table.insert(groups, '.' .. (table.remove(dpart, 1) or ))
			for _, v in ipairs(dpart) do
				table.insert(groups,  .. v .. )
			end
		end
		result = sign .. table.concat(groups)
	end
	return result
end
local function sup_sub(sup, sub, align)
	-- Return the same result as Module:Su except val defaults to align=right.
	if align == 'l' or align == 'left' then
		align = 'left'
	elseif align == 'c' or align == 'center' then
		align = 'center'
	else
		align = 'right'
	end
	return  .. sup ..  .. sub .. 
end
local function range_text(items, unit_table, options)
	local fmt = options.fmt
	local nend = items.nend or 
	if items.isrepeat or unit_table.isangle then
		nend = nend .. unit_table.text
	end
	local text = 
	for i = 1, #items do
		if i % 2 == 0 then
			text = text .. itemsi
		else
			text = text .. delimit(itemsi.sign, itemsi.clean, fmt) .. nend
		end
	end
	return text
end
local function uncertainty_text(uncertainty, unit_table, options)
	local angle, text, need_parens
	if unit_table.isangle then
		angle = unit_table.text
	end
	local upper = uncertainty.upper or {}
	local lower = uncertainty.lower or {}
	local uncU = upper.clean
	if uncU then
		local fmt = options.fmt
		local uncL = lower.clean
		if uncL then
			uncU = delimit('+', uncU, fmt) .. (upper.errend or )
			uncL = delimit('−', uncL, fmt) .. (lower.errend or )
			if angle then
				uncU = uncU .. angle
				uncL = uncL .. angle
			end
			text = (angle or ) ..
				 ..
				sup_sub(uncU, uncL, options.align) ..
				
		else
			if upper.parens then
				text = '(' .. uncU .. ')'  -- old template did not delimit
			else
				text = (angle or ) ..
					'±' ..
					delimit(, uncU, fmt)
				need_parens = true
			end
			if uncertainty.errend then
				text = text .. uncertainty.errend
			end
			if angle then
				text = text .. angle
			end
		end
	else
		if angle then
			text = angle
		end
	end
	return text, need_parens
end
local function _main(values, unit_spec, options)
	data_module = '모듈:Val/units' .. (options.sandbox and '/연습장' or )
	local action = options.action
	if action then
		if action == 'list' then
			-- Kludge: am using the align parameter (a=xxx) for type of list.
			return list_units(options.align)
		end
		return valerror('유효하지 않은 동작 "' .. action .. '".', options.nocat)
	end
	local number = values.number or (values.numbers and values.numbers1) or {}
	local e_10 = options.e or {}
	local novalue = (number.value == nil and e_10.clean == nil)
	local fmt = options.fmt
	local want_sort = true
	local sortable = options.sortable
	if sortable == 'off' or (sortable == nil and novalue) then
		want_sort = false
	elseif sortable == 'debug' then
		-- Same as sortable = 'on' but the sort key is displayed.
	else
		sortable = 'on'
	end
	local sort_value = 1
	if want_sort then
		sort_value = number.value or 1
		if e_10.value and sort_value ~= 0 then
			-- The 'if' avoids e=1234 giving an invalid sort_value due to overflow.
			sort_value = sort_value * 10^e_10.value
		end
	end
	local unit_table = makeunit(sort_value, {
						u = unit_spec.u,
						want_link = unit_spec.want_link,
						per = unit_spec.per,
						want_per_link = unit_spec.want_per_link,
						nospace = novalue,
						want_longscale = unit_spec.want_longscale,
						sortable = sortable,
					})
	local sortkey
	if unit_table then
		if want_sort then
			sortkey = unit_table.sortkey
		end
	else
		unit_table = { text =  }
		if want_sort then
			sortkey = convert_lookup('dummy', sort_value, nil, nil, nil, { sortable = sortable }).sortspan
		end
	end
	local final_unit = unit_table.isangle and  or unit_table.text
	local e_text, n_text, need_parens
	local uncertainty = values.uncertainty
	if uncertainty then
		if number.clean then
			n_text = delimit(number.sign, number.clean, fmt) .. (number.nend or )
			local text
			text, need_parens = uncertainty_text(uncertainty, unit_table, options)
			if text then
				n_text = n_text .. text
			end
		else
			n_text = 
		end
	else
		if values.numbers.isrepeat then
			final_unit = 
		end
		n_text = range_text(values.numbers, unit_table, options)
		need_parens = true
	end
	if e_10.clean then
		if need_parens then
			n_text = '(' .. n_text .. ')'
		end
		e_text = '10' .. delimit(e_10.sign, e_10.clean, fmt) .. 
		if number.clean then
			e_text = '×' .. e_text
		end
	else
		e_text = 
	end
	local result =
		(sortkey or ) ..
		(options.prefix or ) ..
		n_text ..
		e_text ..
		final_unit ..
		(options.suffix or )
	if result ~=  then
		result =  .. result .. 
	end
	return result .. (options.warning or )
end
local function check_parameters(args, has_ranges, nocat)
	-- Return warning text for the first problem parameter found, or nothing if ok.
	local whitelist = {
		a = true,
		action = true,
		debug = true,
		e = true,
		'end' = true,
		errend = true,
		'+errend' = true,
		'-errend' = true,
		fmt = true,
		'long scale' = true,
		long_scale = true,
		longscale = true,
		nocategory = true,
		p = true,
		s = true,
		sortable = true,
		u = true,
		ul = true,
		up = true,
		upl = true,
	}
	for k, v in pairs(args) do
		if type(k) == 'string' and not whitelistk then
			local warning = 'Val parameter "' .. k .. '=' .. v .. '" is not supported'
			return valerror(warning, nocat, true)
		end
	end
	if not has_ranges and args4 then
		return valerror('Val parameter 4 ignored', nocat, true)
	end
end
local function main(frame)
	local getArgs = require('모듈:Arguments').getArgs
	local args = getArgs(frame, {wrappers = { '틀:Val', '틀:Val/sandboxlua' }})
	local nocat = args.nocategory
	local numbers = {}  -- table of number tables, perhaps with range text
	local msg = get_args(numbers, args)
	if msg then
		return valerror(msg, nocat)
	end
	if args.u and args.ul then
		return valerror('단위 (u)와 링크가 있는 단위 (ul)가 둘 다 지정되었습니다. 둘 중 하나만 사용할 수 있습니다.', nocat)
	end
	if args.up and args.upl then
		return valerror('unit per (up) and unit per with link (upl) are both specified, only one is allowed.', nocat)
	end
	local values
	if numbers.has_ranges then
		-- Multiple values with range separators but no uncertainty.
		numbers.nend = args'end'
		values = {
			numbers = numbers,
		}
	else
		-- A single value with optional uncertainty.
		local function setfield(i, dst, src)
			local v = argssrc
			if v then
				if numbersi then
					numbersidst = v
				else
					numbersi = { dst = v }
				end
			end
		end
		setfield(1, 'nend', 'end')
		setfield(2, 'errend', '+errend')
		setfield(3, 'errend', '-errend')
		values = {
			number = numbers1,
			uncertainty = {
				upper = numbers2,
				lower = numbers3,
				errend = args.errend,
			}
		}
	end
	local unit_spec = {
			u = args.ul or args.u,
			want_link = args.ul ~= nil,
			per = args.upl or args.up,
			want_per_link = args.upl ~= nil,
			want_longscale = (args.longscale or args.long_scale or args'long scale') == 'on',
		}
	local options = {
			action = args.action,
			align = args.a,
			e = numbers.e,
			fmt = args.fmt,
			nocat = nocat,
			prefix = args.p,
			sandbox = string.find(frame:getTitle(), '연습장', 1, true) ~= nil,
			sortable = args.sortable or (args.debug == 'yes' and 'debug' or nil),
			suffix = args.s,
			warning = check_parameters(args, numbers.has_ranges, nocat),
		}
	return _main(values, unit_spec, options)
end
return { main = main, _main = _main }