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Modulo:Convert/makeunits

Da Wikipedia, l'enciclopedia libera.

Questo modulo serve a preparare i dati usati dal Modulo:Convert per permettere la conversione tra unità di misura.

Uso: Inserire una delle due linee sotto (senza nient'altro) in una sandbox:

  • {{#invoke:convert/makeunits|makeunits}}
  • {{subst:#invoke:convert/makeunits|makeunits}}

L'anteprima della sandbox dovrebbe mostrae il codice che deve essere copiato e incollato in Modulo:Convert/data. Se si verifica un problema comparirà un messaggio di errore che indicherà un problema da correggere.

Per default il modulo legge la definizione da Template:Converti/Man/Conversion data. Allo scopo di test è possibile specificare che la definizione deve essere letta da un'altra pagina, specificando il titolo desiderato. Per esempio, User:Johnuniq/sandbox2:

  • {{#invoke:convert/makeunits|makeunits|User:Johnuniq/sandbox2}}
  • {{subst:#invoke:convert/makeunits|makeunits|User:Johnuniq/sandbox2}}

Il modulo contiene la tabella specials che viene usata per inserire un insieme limitato di dati predefiniti che non sono al momento definiti nel wikitex in input.

Il modulo legge anche il contenuto di Modulo:Convert/text per permettere l'localizzazione delle tabelle delle unità di misura per l'uso su altre wiki.


-- This module generates the wikitext required at Module:Convert/data
-- by reading and processing the wikitext of the master list of units
-- (see conversion_data for the page title).
--
-- Script method:
-- * Read lines, ignoring everything before "== Conversions ==".
-- * Process the following lines:
--   * Find next level-3 heading like "=== Length ===".
--   * Parse each following line starting with "|"
--     (but ignore lines starting with "|-" or "|}".
--   * Split such lines into fields (delimiter "||") and trim
--     leading/trailing whitespace from each field.
--     Remove any "colspan" at front of second field (symbol).
--   * Remove thousand separators (commas) from the scale field.
--     If the scale is a number, do not change it.
--     Otherwise, it should be an expression like "5/9", in
--     which case it is replaced by the value of the expression.
--   * Remove wiki formatting '[[...]]' from the link field.
--   * Remove redundant fields from the unit to reduce size of data table.
--   * Create alternative forms of a unit such as an alias or a combination.
-- * Stop processing when encounter end of text or a line starting
--   with a level-2 heading ("==" but not "===").
-- * Repeat above for each heading listed at prepare_data().
-- * Output Lua source for the units table.
--
-- -- Output has the following form.
-- local all_units = {
--     ["unitcode"] = {                        -- standard format
--         name1    = "singular name",         -- omitted if redundant
--         name1_us = "singular name sp=us",   -- omitted if redundant
--         name2    = "plural name",           -- omitted if redundant
--         name2_us = "plural name sp=us",     -- omitted if redundant
--         symbol   = "symbol",
--         sym_us   = "symbol sp=us",          -- omitted if redundant
--         usename  = 1,                       -- omitted if empty
--         utype    = "unit type",             -- from level-3 heading
--         scale    = 1,                       -- a value, if necessary from evaluating an expression
--         subdivs  = { ["ft"] = { 5280, default = "km" }, ["yd"] = { 1760 } }  -- composite input; omitted if empty
--         link     = "title of article for wikilink",  -- omitted if empty or redundant
--         ...                                 -- other values
--     },
--     ["unitcode"] = {        -- alternative format to generate an alias
--         target   = "unit code",
--         ...                                 -- optional values to override those of target
--     },
--     ["unitcode"] = {        -- alternative format to generate a "per" unit like $/acre or BTU/h
--         per      = {u1, u2},                -- numbered table of unitcodes (u1 may be a currency symbol)
--         ...                                 -- optional values
--     },
--     ["unitcode"] = {        -- alternative format to generate an error message
--         shouldbe = "message that some other unit code should be used",
--     },
--     ["unitcode"] = {        -- alternative format for combination outputs (like 'm ft')
--         combination = {u1, u2, ...},        -- numbered table of unitcodes
--         utype    = "unit type",             -- as for standard format
--     },
--     ["unitcode"] = {        -- alternative format for output multiples (like 'ftin')
--         combination = {u1, u2, ...},        -- numbered table of unitcodes
--         multiple = {f1, f2, ...},           -- numbered table of integer factors
--         utype    = "unit type",             -- as for standard format
--     },
--     ...
-- }

local ulower = mw.ustring.lower
local usub = mw.ustring.sub
local text_code

local specials = {
	-- This table is used to add extra fields when defining some units which
	-- require exceptions to normal processing.
	-- Each key is in the local language, while each value is fixed text.
	-- However, this script should NOT be edited.
	-- Instead, the translation_table in Module:Convert/text can be edited,
	-- and this script will replace sections of the following with localized
	-- definitions from Module:Convert/text, if given.
	-- Ask for assistance at [[:en:Module talk:Convert]].
	-- LATER: It would be better if this was defined in the conversion data.
	utype = {
		-- ["unit type in local language"] = "name_used_in_this_script"
		["fuel efficiency"] = "type_fuel_efficiency",
		["length"] = "type_length",
		["temperature"] = "type_temperature",
		["volume"] = "type_volume",
	},
	ucode = {
		exception = {
			-- ["unit code in local language"] = "name_used_in_module_convert"
			["ft"] = "integer_more_precision",
			["in"] = "subunit_more_precision",
			["lb"] = "integer_more_precision",
		},
		istemperature = {
			-- Common temperature scales (not keVT or MK).
			-- ["unit code in local language"] = 1
			["C"] = true,
			["F"] = true,
			["K"] = true,
			["R"] = true,
		},
		usesymbol = {
			-- Use unit symbol not name if abbr not specified.
			-- ["unit code in local language"] = 1
			["C"] = 1,
			["F"] = 1,
			["K"] = 1,
			["R"] = 1,
			["C-change"] = 1,
			["F-change"] = 1,
			["K-change"] = 1,
		},
		alttype = {
			-- Unit has an alternate type that is a valid conversion.
			-- ["unit code in local language"] = "alternate type in local language"
			["Nm"] = "energy",
			["ftlb"] = "torque",
			["ftlb-f"] = "torque",
			["ftlbf"] = "torque",
			["inlb"] = "torque",
			["inlb-f"] = "torque",
			["inlbf"] = "torque",
			["inoz-f"] = "torque",
			["inozf"] = "torque",
		},
	},
}

-- Module text for the local language (localization).
-- A default table of text for enwiki is provided here.
-- If needed for another wiki, wanted sections from the table can be
-- copied into translation_table in Module:Convert/text.
-- For example, copying and modifying only the titles section may give:
--
--   local translation_table = {
--       ...             -- other items
--       mtext = {
--           titles = {
--               -- name_used_in_this_script = 'Title of page'
--               conversion_data = 'Modul:Convert/documentation/conversion data/dok',
--           },
--       },
--   }
local mtext = {
	section_names = {
		-- name_used_in_this_script = 'Section title used in conversion data'
		overrides    = 'Overrides',
		conversions  = 'Conversions',
		outmultiples = 'Output multiples',
		combinations = 'Combinations',
		inmultiples  = 'Input multiples',
		defaults     = 'Defaults',
		links        = 'Links',
		perunits     = 'Automatic per units',
		varnames     = 'Variable names',
	},
	titles = {
		-- name_used_in_this_script = 'Title of page'
		conversion_data = 'Module:Convert/documentation/conversion data/doc',
	},
	messages = {
		-- name_used_in_this_script = 'Error message ($1 = first parameter, $2 = second)'
		m_als_bad   = 'Alias has invalid text in field "$1".',
		m_als_dup   = 'Alias "$1" already defined.',
		m_als_link  = 'Alias "$1" must include a wikilink ("[[...]]") in the symlink text.',
		m_als_mul   = 'Alias "$1" has multiplier "$2" which is not a number.',
		m_als_same  = 'Should omit "$1" for alias "$2" because it is the same as its target.',
		m_als_type  = 'Target of alias "$1" has wrong type.',
		m_als_undef = 'Primary unit must be defined before alias "=$1"',
		m_cmb_miss  = 'Missing unit code for a combination.',
		m_cmb_none  = 'No units specified for combination "$1"',
		m_cmb_one   = 'Only one unit specified for combination "$1"',
		m_cmb_type  = 'Unit "$1" in combination "$2" has wrong type.',
		m_cmb_undef = 'Unit "$1" in combination "$2" not defined.',
		m_cmp_def   = 'Composite "$1" must specify a default unit code.',
		m_cmp_int   = 'Composite "$1" has components where scale ratios are not integers.',
		m_cmp_inval = 'Composite "$1" has a component with an invalid scale, "$2".',
		m_cmp_many  = 'Composite "$1" has too many fields.',
		m_cmp_miss  = 'Missing unit code for a composite.',
		m_cmp_order = 'Composite "$1" has components in wrong order or with invalid scales.',
		m_cmp_scale = 'Alternate unit "$1" in composite "$2" has wrong scale.',
		m_cmp_two   = 'Composite "$1" must specify exactly two unit codes.',
		m_cmp_type  = 'Unit "$1" in composite "$2" has wrong type.',
		m_cmp_undef = 'Unit "$1" in composite "$2" not defined.',
		m_def_cond  = 'Invalid condition in default "$1" for unit "$2".',
		m_def_fmt   = 'Default output "$1" for unit "$2" should have 2 or 3 "!".',
		m_def_rpt   = 'Default output "$1" for unit "$2" is repeated.',
		m_def_same  = 'Default output for unit "$1" is the same unit.',
		m_def_type  = 'Default output "$1" for unit "$2" has wrong type.',
		m_def_undef = 'Default output "$1" for unit "$2" is not defined.',
		m_dfs_code  = 'Defaults section: no unit code specified.',
		m_dfs_dup   = 'Defaults section: unit "$1" has already been specified.',
		m_dfs_none  = 'Defaults section: unit "$1" has no default specified.',
		m_dfs_sym   = 'Defaults section: unit "$1" must have a symbol.',
		m_dfs_two   = 'Defaults section: unit "$1" should have two fields only.',
		m_dfs_undef = 'Defaults section: unit "$1" is not defined.',
		m_dup_code  = 'Unit code "$1" has already been defined.',
		m_error     = 'Error:',
		m_ftl_read  = 'Could not read wikitext from "[[$1]]".',
		m_ftl_table = '[[$1]] should export table "$2".',
		m_ftl_type  = 'Fatal error: unknown data type for "$1"',
		m_hdg_lev2  = 'Level 2 heading "$1" not found.',
		m_hdg_lev3  = 'No level 3 heading before: $1',
		m_line_num  = ' (line $1).',
		m_lnk_brack = 'Link "$1" has wrong number of brackets.',
		m_lnk_dup   = 'Link exception "$1" is already defined.',
		m_lnk_miss  = 'Missing unit code for a link.',
		m_lnk_none  = 'No link defined for unit "$1".',
		m_lnk_sym   = 'Unit code "$1" for a link must have a symbol.',
		m_lnk_two   = 'Row for unit "$1" link should have two fields only.',
		m_lnk_type  = 'Link exception "$1" has wrong type.',
		m_lnk_undef = 'Unit code "$1" for a link is not defined.',
		m_miss_code = 'Missing unit code.',
		m_miss_sym  = 'Missing symbol.',
		m_miss_type = 'Missing unit type.',
		m_mul_int   = 'Multiple "$1" has components where scale ratios are not integers.',
		m_mul_miss  = 'Missing unit code for a multiple.',
		m_mul_none  = 'No units specified for multiple "$1"',
		m_mul_one   = 'Only one unit specified for multiple "$1"',
		m_mul_order = 'Multiple "$1" has components in wrong order or with invalid scales.',
		m_mul_scale = 'Multiple "$1" has a component with an invalid scale, "$2".',
		m_mul_std   = 'Unit "$1" in multiple "$2" must be a standard unit.',
		m_mul_type  = 'Unit "$1" in multiple "$2" has wrong type.',
		m_mul_undef = 'Unit "$1" in multiple "$2" not defined.',
		m_no_title  = 'Need title of page with unit definitions.',
		m_ovr_dup   = 'Override "$1" is already defined.',
		m_ovr_miss  = 'Missing unit code for an override.',
		m_per_dup   = 'Per unit "$1" already defined.',
		m_per_empty = 'Unit "$1" has an empty field in the "per".',
		m_per_fuel  = 'Unit "$1" has invalid unit types for fuel efficiency.',
		m_per_inv   = 'Invalid field for a "per".',
		m_per_two   = 'Unit "$1" does not have exactly 2 fields in the "per".',
		m_per_undef = 'Unit "$1" has undefined unit code "$2" in the "per".',
		m_percent_s = 'Field "$1" must not contain "%s".',
		m_pfx_bad   = 'Unknown prefix: "$1".',
		m_pfx_name  = 'Unit with Prefix set must include Name.',
		m_scl_bad   = 'Scale expression is invalid: "$1".',
		m_scl_miss  = 'Missing scale.',
		m_scl_oflow = 'Scale expression gives an invalid value: "$1".',
		m_var_cnt   = 'Variable names section: each row must have five fields.',
		m_var_dup   = 'Unit "$1" already has a variable name.',
		m_var_miss  = 'Missing field for a variable name.',
		m_var_undef = 'Unit "$1" in variable names is not defined.',
		m_warning   = 'Warning:',
		m_wrn_more  = '  (and more not shown)',
		m_wrn_nbsp  = 'Line $1 contains a nonbreaking space.',
		m_wrn_nodef = 'Units with the following unit codes have no default output.',
		m_wrn_ucode = '  $1',
	},
}

local function message(key, ...)
	-- Return a message from the message table, which can be localized.
	-- '$1', '$2', ... are replaced with the first, second, ... parameters,
	-- each of which must be a string or a number.
	-- The global variable is_test_run can be set by a testing program to
	-- check the messages generated by this program.
	local rep = {}
	for i, v in ipairs({...}) do
		rep['$' .. i] = v
	end
	key = key or '???'
	local extra
	if is_test_run and key ~= 'm_line_num' then
		extra = key .. ': '
	else
		extra = ''
	end
	return extra .. string.gsub(mtext.messages[key] or key, '$%d+', rep)
end

local function quit(key, ...)
	-- Use error() to pass an error message to the surrounding pcall().
	error(message(key, ...), 0)
end

local function quit_no_message()
	-- Throw an error.
	-- This is used in some functions which can throw an error with a message,
	-- but where the message is in fact never displayed because the calling
	-- function uses pcall to catch errors, and any message is ignored.
	-- Using this function documents that the message (which may be useful in
	-- some other application) does not need translation as it never appears.
	error('this message is not displayed', 0)
end

local function collection()
	-- Return a table to hold items.
	return {
		n = 0,
		add = function (self, item)
			self.n = self.n + 1
			self[self.n] = item
		end,
		pop = function (self, item)
			if self.n > 0 then
				local top = self[self.n]
				self.n = self.n - 1
				return top
			end
		end,
		join = function (self, sep)
			return table.concat(self, sep or '\n')
		end,
	}
end

local warnings = collection()
local function add_warning(key, ...)
	-- Add a warning that will be inserted before the final result.
	warnings:add(message(key, ...))
end

---Begin code to evaluate expressions-----------------------------------
-- This is needed because Lua's loadstring() is not available in Scribunto,
-- and each scale value can be specifed as an expression such as "5/9".
-- More complex expressions are supported, including use of parentheses
-- and the binary operators: + - * / ^

local operators = {
	['+'] = { precedence = 1, associativity = 1, func = function (a, b) return a + b end },
	['-'] = { precedence = 1, associativity = 1, func = function (a, b) return a - b end },
	['*'] = { precedence = 2, associativity = 1, func = function (a, b) return a * b end },
	['/'] = { precedence = 2, associativity = 1, func = function (a, b) return a / b end },
	['^'] = { precedence = 3, associativity = 2, func = function (a, b) return a ^ b end },
	['('] = '(',
	[')'] = ')',
}

local function tokenizer(text)
	-- Function 'next' returns the next token which is one of:
	--     number
	--     table (operator)
	--     string ('(' or ')')
	--     nil (end of text)
	-- If invalid, an error is thrown.
	-- The number is unsigned (unary operators are not supported).
	return {
		pos = 1,
		maxpos = #text,
		text = text,
		next = function(self)
			if self.pos <= self.maxpos then
				local p1, p2, hit = self.text:find('^%s*([+%-*/^()])', self.pos)
				if hit then
					self.pos = p2 + 1
					return operators[hit]
				end
				p1, p2, hit = self.text:find('^%s*(%d*%.?%d*[eE][+-]?%d*)', self.pos)
				if not hit then
					p1, p2, hit = self.text:find('^%s*(%d*%.?%d*)', self.pos)
				end
				local value = tonumber(hit)
				if value then
					self.pos = p2 + 1
					return value
				end
				quit_no_message('invalid number "' .. self.text:sub(self.pos) .. '"')
			end
		end
	}
end

local function evaluate_tokens(tokens, inparens)
	-- Return the value from evaluating tokenized expression, or throw an error.
	local numstack, opstack = collection(), collection()
	local function perform_ops(precedence, associativity)
		while opstack.n > 0 and (opstack[opstack.n].precedence > precedence or
			(opstack[opstack.n].precedence == precedence and associativity == 1)) do
			local rhs = numstack:pop()
			local lhs = numstack:pop()
			if not (rhs and lhs) then quit_no_message('missing number') end
			local op = opstack:pop()
			numstack:add(op.func(lhs, rhs))
		end
	end
	local token_last
	local function set_state(token_type)
		if token_last == token_type then
			local missing = (token_type == 'number') and 'operator' or 'number'
			quit_no_message('missing ' .. missing)
		end
		token_last = token_type
	end
	while true do
		local token = tokens:next()
		if type(token) == 'number' then
			set_state('number')
			numstack:add(token)
		elseif type(token) == 'table' then
			set_state('operator')
			perform_ops(token.precedence, token.associativity)
			opstack:add(token)
		elseif token == '(' then
			set_state('number')
			numstack:add(evaluate_tokens(tokens, true))
		elseif token == ')' then
			if inparens then
				break
			end
			quit_no_message('unbalanced parentheses')
		else
			break
		end
	end
	perform_ops(0)
	if numstack.n > 1 then quit_no_message('missing operator') end
	if numstack.n < 1 then quit_no_message('missing number') end
	return numstack:pop()
end

local function evaluate(expression)
	-- Return value (a number) from evaluating expression (a string),
	-- or throw an error if invalid.
	-- This is not bullet proof, but it should support the expressions used.
	return evaluate_tokens(tokenizer(expression))
end
---End code to evaluate expressions-------------------------------------
---Begin code adapted from Module:Convert-------------------------------

local plural_suffix = 's'  -- may be changed from translation.plural_suffix below

local function shallow_copy(t)
	-- Return a shallow copy of t.
	-- Do not need the features and overhead of mw.clone() provided by Scribunto.
	local result = {}
	for k, v in pairs(t) do
		result[k] = v
	end
	return result
end

local function split(text, delimiter)
	-- Return a numbered table with fields from splitting text.
	-- The delimiter is used in a regex without escaping (for example, '.' would fail).
	-- Each field has any leading/trailing whitespace removed.
	local t = {}
	text = text .. delimiter  -- to get last item
	for item in text:gmatch('%s*(.-)%s*' .. delimiter) do
		table.insert(t, item)
	end
	return t
end

local unit_mt = {
	-- Metatable to get missing values for a unit that does not accept SI prefixes.
	-- Warning: The boolean value 'false' is returned for any missing field
	-- so __index is not called twice for the same field in a given unit.
	__index = function (self, key)
		local value
		if key == 'name1' or key == 'sym_us' then
			value = self.symbol
		elseif key == 'name2' then
			value = self.name1 .. plural_suffix
		elseif key == 'name1_us' then
			value = self.name1
			if not rawget(self, 'name2_us') then
				-- If name1_us is 'foot', do not make name2_us by appending plural_suffix.
				self.name2_us = self.name2
			end
		elseif key == 'name2_us' then
			local raw1_us = rawget(self, 'name1_us')
			if raw1_us then
				value = raw1_us .. plural_suffix
			else
				value = self.name2
			end
		elseif key == 'link' then
			value = self.name1
		else
			value = false
		end
		rawset(self, key, value)
		return value
	end
}

local function prefixed_name(unit, name, index)
	-- Return unit name with SI prefix inserted at correct position.
	-- index = 1 (name1), 2 (name2), 3 (name1_us), 4 (name2_us).
	-- The position is a byte (not character) index, so use Lua's sub().
	local pos = rawget(unit, 'prefix_position')
	if type(pos) == 'string' then
		pos = tonumber(split(pos, ',')[index])
	end
	if pos then
		return name:sub(1, pos - 1) .. unit.si_name .. name:sub(pos)
	end
	return unit.si_name .. name
end

local unit_prefixed_mt = {
	-- Metatable to get missing values for a unit that accepts SI prefixes.
	-- Before use, fields si_name, si_prefix must be defined.
	-- The unit must define _symbol, _name1 and
	-- may define _sym_us, _name1_us, _name2_us
	-- (_sym_us, _name2_us may be defined for a language using sp=us
	-- to refer to a variant unrelated to U.S. units).
	__index = function (self, key)
		local value
		if key == 'symbol' then
			value = self.si_prefix .. self._symbol
		elseif key == 'sym_us' then
			value = rawget(self, '_sym_us')
			if value then
				value = self.si_prefix .. value
			else
				value = self.symbol
			end
		elseif key == 'name1' then
			value = prefixed_name(self, self._name1, 1)
		elseif key == 'name2' then
			value = rawget(self, '_name2')
			if value then
				value = prefixed_name(self, value, 2)
			else
				value = self.name1 .. plural_suffix
			end
		elseif key == 'name1_us' then
			value = rawget(self, '_name1_us')
			if value then
				value = prefixed_name(self, value, 3)
			else
				value = self.name1
			end
		elseif key == 'name2_us' then
			value = rawget(self, '_name2_us')
			if value then
				value = prefixed_name(self, value, 4)
			elseif rawget(self, '_name1_us') then
				value = self.name1_us .. plural_suffix
			else
				value = self.name2
			end
		elseif key == 'link' then
			value = self.name1
		else
			value = false
		end
		rawset(self, key, value)
		return value
	end
}

local function lookup(units, unitcode, sp, what)
	-- Return a copy of the unit if found, or return nil.
	-- In this cut-down code, sp is always nil, and what is ignored.
	local t = units[unitcode]
	if t then
		if t.shouldbe then
			return nil
		end
		local result = shallow_copy(t)
		if result.prefixes then
			result.si_name = ''
			result.si_prefix = ''
			return setmetatable(result, unit_prefixed_mt)
		end
		return setmetatable(result, unit_mt)
	end
	local SIprefixes = text_code.SIprefixes
	for plen = SIprefixes[1] or 2, 1, -1 do
		-- Look for an SI prefix; should never occur with an alias.
		-- Check for longer prefix first ('dam' is decametre).
		-- SIprefixes[1] = prefix maximum #characters (as seen by mw.ustring.sub).
		local prefix = usub(unitcode, 1, plen)
		local si = SIprefixes[prefix]
		if si then
			local t = units[usub(unitcode, plen+1)]
			if t and t.prefixes then
				local result = shallow_copy(t)
				if (sp == 'us' or t.sp_us) and si.name_us then
					result.si_name = si.name_us
				else
					result.si_name = si.name
				end
				result.si_prefix = si.prefix or prefix
				-- In this script, each scale is a string.
				result.scale = tostring(tonumber(t.scale) * 10 ^ (si.exponent * t.prefixes))
				result.prefixes = nil  -- a prefixed unit does not take more prefixes (in this script, the returned unit may be added to the list of units)
				return setmetatable(result, unit_prefixed_mt)
			end
		end
	end
	local exponent, baseunit = unitcode:match('^e(%d+)(.*)')
	if exponent then
		local engscale = text_code.eng_scales[exponent]
		if engscale then
			local result = lookup(units, baseunit, sp, 'no_combination')
			if not result then return nil end
			if not (result.offset or result.builtin or result.engscale) then
				result.defkey = unitcode  -- key to lookup default exception
				result.engscale = engscale
				-- Do not set result.scale as this code is called for units where that is not set.
				return result
			end
		end
	end
	return nil
end

local function evaluate_condition(value, condition)
	-- Return true or false from applying a conditional expression to value,
	-- or throw an error if invalid.
	-- A very limited set of expressions is supported:
	--    v < 9
	--    v * 9 < 9
	-- where
	--    'v' is replaced with value
	--    9 is any number (as defined by Lua tonumber)
	--    '<' can also be '<=' or '>' or '>='
	-- In addition, the following form is supported:
	--    LHS and RHS
	-- where
	--    LHS, RHS = any of above expressions.
	local function compare(value, text)
		local arithop, factor, compop, limit = text:match('^%s*v%s*([*]?)(.-)([<>]=?)(.*)$')
		if arithop == nil then
			quit_no_message('Invalid default expression.')
		elseif arithop == '*' then
			factor = tonumber(factor)
			if factor == nil then
				quit_no_message('Invalid default expression.')
			end
			value = value * factor
		end
		limit = tonumber(limit)
		if limit == nil then
			quit_no_message('Invalid default expression.')
		end
		if compop == '<' then
			return value < limit
		elseif compop == '<=' then
			return value <= limit
		elseif compop == '>' then
			return value > limit
		elseif compop == '>=' then
			return value >= limit
		end
		quit_no_message('Invalid default expression.')  -- should not occur
	end
	local lhs, rhs = condition:match('^(.-%W)and(%W.*)')
	if lhs == nil then
		return compare(value, condition)
	end
	return compare(value, lhs) and compare(value, rhs)
end

---End adapted code-----------------------------------------------------

local function strip(text)
	-- Return text with no leading/trailing whitespace.
	return text:match("^%s*(.-)%s*$")
end

local function empty(text)
	-- Return true if text is nil or empty (assuming a string).
	return text == nil or text == ''
end

-- Tables of units: k = unit code, v = unit table.
local units_index = {}  -- all units: normal, alias, per, combination, or multiple
local alias_index = {}  -- all aliases (to detect attempts to define more than once)
local per_index = {}    -- all "per" units (to detect attempts to define more than once)

local function get_unit(ucode, utype)
	-- Look up unit code in our cache of units.
	-- If utype == nil, the unit should already have been defined.
	-- Otherwise, ucode may represent an automatically generated combination
	-- where each component must have the given utype; a dummy unit is returned.
	if empty(ucode) then
		return nil
	end
	local unit = lookup(units_index, ucode)
	if unit or not utype then
		return unit
	end
	local combo = collection()
	if ucode:find('+', 1, true) then
		for item in (ucode .. '+'):gmatch('%s*(.-)%s*%+') do
			if item ~= '' then
				combo:add(item)
			end
		end
	elseif ucode:find('%s') then
		for item in ucode:gmatch('%S+') do
			combo:add(item)
		end
	end
	if combo.n > 1 then
		local result = setmetatable({ utype = utype }, {
			__index = function (self, key)
				error('Bug: invalid use of automatically generated unit')
			end })
		for _, v in ipairs(combo) do
			local component = lookup(units_index, v)
			if not component or component.shouldbe or component.combination then
				return nil
			end
			if utype ~= component.utype then
				result.utype = component.utype  -- set wrong type which caller will detect
				break
			end
		end
		return result
	end
end

local overrides = {}  -- read from input for unit codes that should not be checked for a duplicate

local function insert_unique_unit(data, unit, index)
	-- After inserting any required built-in data, insert the unit into the
	-- data table and (if index not nil) add to index,
	-- but not if the unit code is already defined.
	local ucode = unit.unitcode
	local known = get_unit(ucode)
	if known and not overrides[ucode] then
		quit('m_dup_code', ucode)
	end
	for item, t in pairs(specials.ucode) do
		unit[item] = t[ucode]
	end
	if index then
		index[ucode] = unit
	end
	table.insert(data, unit)
end

local function check_condition(condition)
	-- Return true if condition appears to be valid; otherwise return false.
	for _, value in ipairs({ 0, 0.1, 1, 1.1, 10, 100, 1000, 1e4, 1e5 }) do
		local success, result = pcall(evaluate_condition, value, condition)
		if not success then
			return false
		end
	end
	return true
end

local function check_default_expression(default, ucode)
	-- Return a numbered table of names present in param default
	-- (two names if an expression, or one name (param default) otherwise).
	-- Throw an error if a problem occurs.
	-- An expression uses pipe-delimited fields with 'v' representing
	-- the input value for the conversion.
	-- Example (suffix is optional): 'v < 120 ! small ! big ! suffix'
	-- returns { 'smallsuffix', 'bigsuffix' }.
	if not default:find('!', 1, true) then
		return { default }
	end
	local t = {}
	for item in (default .. '!'):gmatch('%s*(.-)%s*!') do
		t[#t+1] = item  -- split on '!', removing leading/trailing whitespace
	end
	if not (#t == 3 or #t == 4) then
		quit('m_def_fmt', default, ucode)
	end
	local condition, default1, default2 = t[1], t[2], t[3]
	if #t == 4 then
		default1 = default1 .. t[4]
		default2 = default2 .. t[4]
	end
	if not check_condition(condition) then
		quit('m_def_cond', default, ucode)
	end
	return { default1, default2 }
end

local function check_default(default, ucode, utype, unit_table)
	-- Check the given name (or expression) of a default output.
	-- Normally a unit must not define itself as its default. However,
	-- some units are defined merely for use in per units, and they have
	-- the same ucode, utype and default.
	-- Example: unit cent which cannot be converted to anything other than
	-- a cent, but which can work, for example, in cent/km and cent/mi.
	-- Throw an error if a problem occurs.
	local done = {}
	for _, default in ipairs(check_default_expression(default, ucode)) do
		if done[default] then
			quit('m_def_rpt', default, ucode)
		end
		if default == ucode and ucode ~= utype then
			quit('m_def_same', ucode)
		end
		local default_table = get_unit(default, utype)
		if not default_table then
			quit('m_def_undef', default, ucode)
		end
		if not (utype == unit_table.utype and utype == default_table.utype) then
			quit('m_def_type', default, ucode)
		end
		done[default] = true
	end
end

local function check_all_defaults(units, maxerrors)
	-- Check each default in units and warn if needed.
	-- This is done after all input data has been processed.
	-- Throw an error if a problem occurs.
	local errors = collection()
	local missing = collection()  -- unitcodes with missing defaults
	for _, unit in ipairs(units) do
		if not unit.shouldbe and not unit.combination then
			-- This is a standard unit or an alias/per (not shouldbe, combo).
			-- An alias may have a default defined, but it is optional.
			local default = unit.default
			local ucode = unit.unitcode
			if empty(default) then
				if not unit.target then  -- unit should have a default
					missing:add(ucode)
				end
			else
				local ok, msg = pcall(check_default, default, ucode, unit.utype, unit)
				if not ok then
					errors:add(msg)
					if errors.n >= maxerrors then
						break
					end
				end
			end
		end
	end
	if errors.n > 0 then
		error(errors:join(), 0)
	end
	if missing.n > 0 then
		add_warning('m_wrn_nodef')
		local limit = maxerrors
		for _, v in ipairs(missing) do
			limit = limit - 1
			if limit < 0 then
				add_warning('m_wrn_more')
				break
			end
			add_warning('m_wrn_ucode', v)
		end
	end
end

local function check_all_pers(units, maxerrors)
	-- Check each component of each "per" unit and warn if needed.
	-- In addition, add any required extra fields for some types of units.
	-- This is done after all input data has been processed.
	-- Throw an error if a problem occurs.
	local errors = collection()
	local function errmsg(key, ...)
		errors:add(message(key, ...))
	end
	for _, unit in ipairs(units) do
		local per = unit.per
		if per then
			local ucode = unit.unitcode
			if #per ~= 2 then
				errmsg('m_per_two', ucode)
			else
				local types = {}
				for i, v in ipairs(per) do
					if empty(v) then
						errmsg('m_per_empty', ucode)
					end
					if not text_code.currency[v] then
						local t = get_unit(v)
						if t then
							types[i] = t.utype
						else
							errmsg('m_per_undef', ucode, v)
						end
					end
				end
				if specials.utype[unit.utype] == 'type_fuel_efficiency' then
					local expected = { type_volume = 1, type_length = 2 }
					local top_type = expected[specials.utype[types[1]]]
					local bot_type = expected[specials.utype[types[2]]]
					if top_type and bot_type and top_type ~= bot_type then
						unit.iscomplex = true
						if top_type == 1 then
							unit.invert = 1
						else
							unit.invert = -1
						end
					else
						errmsg('m_per_fuel', ucode)
					end
				end
			end
		end
		if errors.n >= maxerrors then
			break
		end
	end
	if errors.n > 0 then
		error(errors:join(), 0)
	end
end

local function update_units(units, composites, varnames)
	-- Update some unit definitions with extra data defined in other sections.
	-- This is done after all input data has been processed.
	for _, unit in ipairs(units) do
		local comp = composites[unit.unitcode]
		if comp then
			unit.subdivs = '{ ' .. table.concat(comp.subdivs, ', ') .. ' }'
		end
		local vn = varnames[unit.unitcode]
		if vn then
			unit.varname = vn
		end
	end
end

local function make_override(data)
	-- Return a function which, when called, stores a unit code that is not to be
	-- checked for a duplicate. The table is stored in data (also a table).
	return function (utype, fields)
		local ucode = fields[1]
		if empty(ucode) then
			quit('m_ovr_miss')
		end
		if data[ucode] then
			quit('m_ovr_dup', ucode)
		end
		data[ucode] = true
	end
end

local function make_default(data)
	-- Return a function which, when called, stores a table that defines a
	-- default output unit. The table is stored in data (also a table).
	local defaults_index = {}  -- to detect attempts to define a default twice
	return function (utype, fields)
		-- Store a table defining a unit.
		-- This is for a unit such as 'kg' that has a default output unit
		-- different from what is defined for the base unit ('g').
		-- Throw an error if a problem occurs.
		local ucode = fields[1]
		local default = fields[2]
		if empty(ucode) then
			quit('m_dfs_code')
		end
		if empty(default) then
			quit('m_dfs_none', ucode)
		end
		if #fields ~= 2 then
			quit('m_dfs_two', ucode)
		end
		local unit_table = get_unit(ucode)
		if not unit_table then
			quit('m_dfs_undef', ucode)
		end
		local symbol = unit_table.defkey or unit_table.symbol
		if empty(symbol) then
			quit('m_dfs_sym', ucode)
		end
		check_default(default, ucode, utype, unit_table)
		if defaults_index[ucode] then
			quit('m_dfs_dup', ucode)
		end
		defaults_index[ucode] = default
		table.insert(data, { symbol = symbol, default = default })
	end
end

local function clean_link(link, name)
	-- Return link, customary where:
	--   link = given link after removing any '[[...]]' wiki formatting
	--          and removing any leading '+' or '*' or '@';
	--   customary = 1 if leading '+', or 2 if '*' or 3 if '@', or nil
	--   (for extra "US" or "U.S." or "Imperial" customary units link).
	-- Result has leading/trailing whitespace removed, and is nil if empty
	-- or if link matches the name, if a name is specified.
	-- Exception: If the link is empty and the name starts with '[[',
	-- the link is stored as '' (for a unit name which is always linked).
	-- If the resulting link is nil, no link field is stored, and
	-- if a link is required, it will be set from the unit's name.
	local original = link
	if empty(link) then
		return (name and name:sub(1, 2) == '[[') and '' or nil
	end
	local prefixes = { ['+'] = 1, ['*'] = 2, ['@'] = 3 }
	local customary = prefixes[link:sub(1, 1)]
	if customary then
		link = strip(link:sub(2))
	end
	if link:sub(1, 2) == '[[' then
		link = link:sub(3)
	end
	if link:sub(-2) == ']]' then
		link = link:sub(1, -3)
	end
	link = strip(link)
	if link:sub(1, 1) == '[' or link:sub(-1) == ']' then
		quit('m_lnk_brack', original)
	end
	if link == '' then
		link = nil
	elseif name then
		local l = ulower(usub(link, 1, 1)) .. usub(link, 2)
		local n = ulower(usub(name, 1, 1)) .. usub(name, 2)
		if l == n then
			link = nil  -- link == name, ignoring case of first letter
		end
	end
	return link, customary
end

local function make_link(data)
	-- Return a function which, when called, stores a table that defines a
	-- link exception. The table is stored in data (also a table).
	local links_index = {}  -- to detect attempts to define a link twice
	return function (utype, fields)
		-- Store a table defining a unit.
		-- This is for a unit such as 'kg' that has a linked article
		-- different from what is defined for the base unit ('g').
		-- Throw an error if a problem occurs.
		local ucode = fields[1]
		local link = clean_link(fields[2])
		if empty(ucode) then
			quit('m_lnk_miss')
		end
		if empty(link) then
			quit('m_lnk_none', ucode)
		end
		if #fields ~= 2 then
			quit('m_lnk_two', ucode)
		end
		local unit_table = get_unit(ucode)
		if not unit_table then
			quit('m_lnk_undef', ucode)
		end
		if utype ~= unit_table.utype then
			quit('m_lnk_type', ucode)
		end
		local symbol = unit_table.symbol
		if empty(symbol) then
			quit('m_lnk_sym', ucode)
		end
		if links_index[ucode] then
			quit('m_lnk_dup', ucode)
		end
		links_index[ucode] = link
		table.insert(data, { symbol = symbol, link = link })
	end
end

local function clean_scale(scale)
	-- Return cleaned scale as a string, after evaluating any expression.
	-- It would be better to retain scale expressions like "5/9" so that
	-- the expression is evaluated on the server and maintains the full
	-- resolution of the server. However, there are many such expressions
	-- in the table of all units, and it seems pointless to require the
	-- server to evaluate all of them just to do one convert.
	if empty(scale) then
		quit('m_scl_miss')
	end
	assert(type(scale) == 'string', 'Bug: scale has an unexpected type')
	scale = string.gsub(scale, ',', '')  -- remove comma separators
	if tonumber(scale) then  -- not an expression
		return scale
	end
	local status, value = pcall(evaluate, scale)
	if not (status and type(value) == 'number') then
		quit('m_scl_bad', scale)
	end
	local result = string.format('%.17g', value)
	if result:find('[#n]') then
		-- Lua can give results like "#INF" while Scribunto gives "inf". Either is an error.
		quit('m_scl_oflow', scale)
	end
	-- Omit redundant zeros from results like '1.2e-005'.
	-- Do not bother looking for results like '1.2e+005' as none occur in practice.
	local lhs, zeros, rhs = result:match('^(.-e%-)(0+)(.*)')
	if zeros then
		result = lhs .. rhs
	end
	return result
end

local function add_alias_optional_fields(unit, start, fields, target)
	-- Inspect fields[i] for i = start, start+1 ..., and extract any
	-- definitions appropriate for an alias or "per", and add them to unit.
	-- For an alias, target is a valid unit; for a "per", target is nil.
	-- Throw error if encounter an invalid entry.
	for i = start, #fields do
		local field = fields[i]
		if not empty(field) then
			local lhs, rhs = field:match('^%s*(.-)%s*=%s*(.-)%s*$')
			local good
			if not empty(rhs) then
				for _, item in ipairs({ 'sp', 'default', 'link', 'multiplier', 'symbol', 'symlink' }) do
					if lhs == item then
						if item == 'sp' then
							if rhs == 'us' then
								unit.sp_us = true
								good = true
							end
						elseif item == 'link' then
							local tlink
							if target then
								tlink = target[item]
							end
							local link, customary = clean_link(rhs, tlink)
							if link then
								unit[item] = link
							end
							if customary then
								unit.customary = customary
							end
							good = true
						elseif item == 'symlink' then
							local pos1 = rhs:find('[[', 1, true)
							local pos2 = rhs:find(']]', 1, true)
							if not (pos1 and pos2 and (pos1 < pos2)) then
								quit('m_als_link', unit.unitcode)
							end
							unit.symlink = rhs
							good = true
						elseif item == 'multiplier' then
							if not tonumber(rhs) then
								quit('m_als_mul', unit.unitcode, rhs)
							end
							unit[item] = rhs
							good = true
						else
							if target and rhs == target[item] then
								quit('m_als_same', item, unit.unitcode)
							end
							unit[item] = rhs
							good = true
						end
						break
					end
				end
			end
			if not good then
				quit('m_als_bad', field)
			end
		end
	end
end

local function make_alias(fields, ucode, utype, symbol)
	-- Return a new alias unit, or return nil if symbol is not already
	-- defined as the unit code of the target unit.
	-- Throw an error if invalid.
	local target = get_unit(symbol)
	if not target then
		return nil
	end
	local unit = { unitcode = ucode, utype = utype, target = symbol }
	add_alias_optional_fields(unit, 3, fields, target)
	if alias_index[ucode] then
		quit('m_als_dup', ucode)
	else
		alias_index[ucode] = unit
	end
	if target.utype ~= utype then
		quit('m_als_type', ucode)
	end
	return unit
end

local function make_per(fields, ucode, utype, symbol)
	-- Return a new "per" unit, or return nil if symbol is not of form "x/y".
	-- Throw an error if invalid.
	-- The top, bottom unit codes are checked later, after all units are defined.
	local top, bottom = symbol:match('^(.-)/(.*)$')
	if not top then
		return nil
	end
	local unit = { unitcode = ucode, utype = utype, per = { strip(top), strip(bottom) } }
	add_alias_optional_fields(unit, 3, fields)
	if per_index[ucode] then
		quit('m_per_dup', ucode)
	else
		per_index[ucode] = unit
	end
	return unit
end

local function make_unit(data)
	-- Return a function which, when called, stores a table that defines a
	-- single unit. The table is stored in data (also a table).
	local fieldnames = {
		-- Fields in the Conversions section are assumed to be in the following order.
		'unitcode',
		'symbol',
		'sym_us',
		'scale',
		'extra',
		'name1',
		'name2',
		'name1_us',
		'name2_us',
		'prefixes',
		'default',
		'link',
	}
	return function (utype, fields)
		-- Store a table defining a unit.
		-- Throw an error if a problem occurs.
		local ucode, symbol = fields[1], fields[2]
		if empty(utype) then
			quit('m_miss_type')
		end
		if empty(ucode) then
			quit('m_miss_code')
		end
		if empty(symbol) then
			quit('m_miss_sym')
		end
		local prefix = symbol:sub(1, 1)
		if prefix == '~' or prefix == '=' or prefix == '!' or prefix == '*' then
			if symbol:sub(1, 2) == '==' then
				prefix = symbol:sub(1, 2)
			end
			symbol = strip(symbol:sub(#prefix + 1))  -- omit prefix and any following whitespace
			fields[2] = symbol
		else
			prefix = nil  -- not a valid prefix
		end
		if prefix == '=' or prefix == '==' then
			-- ucode is an alias (a fake unit code used in a convert template), or
			-- defines a "per" unit like "$/acre" or "BTU/h".
			-- For an alias, symbol is the unit code of the actual unit.
			-- For a "per", symbol is of form "x/y" where x and y are unit codes,
			-- or x is a recognized currency symbol and y is a unit code.
			-- Checking that x and y are valid is deferred until all units have
			-- been defined so, for example, "BTU/h" can be defined before "h".
			local unit
			if prefix == '=' then
				unit = make_alias(fields, ucode, utype, symbol)
			else
				unit = make_per(fields, ucode, utype, symbol)
			end
			if not unit then
				-- Do not define an alias in terms of another alias.
				quit('m_als_undef', symbol)
			end
			insert_unique_unit(data, unit, units_index)
			return
		elseif prefix == '!' then
			-- ucode may be incorrectly entered as a unit code.
			-- symbol is a message saying what unit code should be used.
			local unit = { unitcode = ucode, shouldbe = symbol }
			insert_unique_unit(data, unit, nil)
			return
		end
		-- Make the unit.
		local unit = { utype = utype }
		for i, name in ipairs(fieldnames) do
			if not empty(fields[i]) then
				unit[name] = fields[i]
			end
		end
		-- Remove redundancy from unit.
		if unit.sym_us == symbol then
			unit.sym_us = nil
		end
		local prefixes = unit.prefixes
		local name1, name2 = unit.name1, unit.name2
		if name1 then
			if name1 == symbol and not prefixes then
				-- A unit which takes an SI prefix must not have a nil name because,
				-- for example, the name for "kW" = "kilo" .. "watt" (name for "W").
				-- The "not prefixes" test is needed for bnwiki where the
				-- watt unit has the same name and symbol.
				unit.name1 = nil
			end
		else
			name1 = symbol
		end
		if name2 then
			if name2 == name1 .. plural_suffix then
				unit.name2 = nil
			end
		else
			name2 = name1 .. plural_suffix
		end
		local name1_us, name2_us = unit.name1_us, unit.name2_us
		if name1_us then
			if name1_us == name1 then
				unit.name1_us = nil
			end
		end
		if name2_us then
			if unit.name1_us then
				if name2_us == unit.name1_us .. plural_suffix then
					unit.name2_us = nil
				end
			elseif name2_us == name2 then
				unit.name2_us = nil
			end
		end
		-- Other changes to unit.
		unit.scale = clean_scale(unit.scale)
		local extra = unit.extra
		if not empty(extra) then
			-- Set appropriate fields for a unit that needs more than a simple
			-- multiplication by a ratio of unit scales to convert values.
			unit.iscomplex = true
			if extra == 'volume/length' then
				unit.invert = 1
			elseif extra == 'length/volume' then
				unit.invert = -1
			elseif specials.utype[utype] == 'type_temperature' then
				unit.offset = extra
			elseif extra == 'invert' then
				unit.invert = -1
			else
				unit.builtin = extra
			end
		end
		if prefix == '~' then
			-- Magic code for units like "acre" where the symbol is not really a
			-- symbol, and output should use the singular or plural name instead.
			unit.usename = 1
		elseif prefix == '*' then
			-- Magic code for units like "pitch" which have a symbol that is the same as
			-- another unit with entries defined in the default or link exceptions tables.
			unit.defkey = ucode  -- key for default exceptions
			unit.linkey = ucode  -- key for link exceptions
		end
		local name_for_link
		if prefixes then
			if prefixes == 'SI' then
				unit.prefixes = 1
			elseif prefixes == 'SI2' then
				unit.prefixes = 2
			elseif prefixes == 'SI3' then
				unit.prefixes = 3
			else
				quit('m_pfx_bad', prefixes)
			end
		else
			-- Only units which do not accept SI prefixes have name_for_link set.
			-- That is because, for example, if set name_for_link = name1 for unit g,
			-- then the link is "kilogram" for kg, and "yottagram" for Yg, and so on
			-- for all prefixes. That might be desirable for some units, but not all.
			name_for_link = name1
		end
		unit.link, unit.customary = clean_link(unit.link, name_for_link)
		if prefixes then
			-- The SI prefix is always at the start (position = 1) for symbol and sym_us.
			-- However, each name (name1, name2, name1_us, name2_us) can have the SI prefix
			-- at any position, and that position can be different for each name.
			-- For enwiki, the only units with names where the prefix is not at the start
			-- are "square metre" and "cubic metre" ("square meter" and "cubic meter" for sp=us).
			-- Some other wikis want the flexibility that the prefix position can be different
			-- so the position is stored as nil (if always 1), or N (an integer, if always N),
			-- or a string of four comma-separated numbers such as "5,7,9,11" which means the
			-- prefix position for (name1, name2, name1_us, name2_us) is (5, 7, 9, 11)
			-- respectively.
			local name1, name1_us = unit.name1, unit.name1_us  -- after redundancy removed
			if not name1 then
				quit('m_pfx_name')
			end
			local positions = collection()
			for i, k in ipairs({ 'name1', 'name2', 'name1_us', 'name2_us' }) do
				local name = unit[k]
				local pos
				if name then
					pos = name:find('%s', 1, true)
					if pos then
						unit[k] = name:sub(1, pos - 1) .. name:sub(pos + 2)
					end
				elseif i == 2 or i == 3 then
					pos = positions[1]
				elseif i == 4 then
					pos = positions[unit.name1_us and 3 or 2]
				end
				positions:add(pos or 1)
			end
			local pos = positions[1]
			for i = 2, positions.n do
				if pos ~= positions[i] then
					pos = '"' .. positions:join(',') .. '"'
					break
				end
			end
			if pos ~= 1 then
				unit.prefix_position = pos
			end
			for _, name in ipairs({ 'symbol', 'sym_us', 'name1', 'name1_us', 'name2', 'name2_us' }) do
				unit['_' .. name] = unit[name]
				unit[name] = nil  -- force call to __index metamethod so any SI prefix can be handled
			end
		end
		for name, v in pairs(unit) do
			-- Reject if a string field includes "%s" (should not occur after above).
			if type(v) == 'string' and v:find('%s', 1, true) then
				quit('m_percent_s', name)
			end
		end
		insert_unique_unit(data, unit, units_index)
	end
end

local function make_combination(data)
	-- Return a function which, when called, stores a table that defines a
	-- single combination unit. The table is stored in data (also a table).
	return function (utype, fields)
		-- Store a table defining a unit.
		-- This is for a combination unit that specifies more than one output.
		-- The target units must be defined first.
		-- Throw an error if a problem occurs.
		local unit = { utype = utype, combination = {} }
		for i, v in ipairs(fields) do
			if i == 1 then  -- unitcode
				if v == '' then
					quit('m_cmb_miss')
				end
				unit.unitcode = v
			elseif v == '' then
				-- Ignore empty fields.
			else
				local target = get_unit(v)
				if not target then
					quit('m_cmb_undef', v, unit.unitcode)
				end
				if target.utype ~= utype then
					quit('m_cmb_type', v, unit.unitcode)
				end
				table.insert(unit.combination, v)
			end
		end
		if #unit.combination < 2 then
			quit(#unit.combination == 0 and 'm_cmb_none' or 'm_cmb_one', unit.unitcode)
		end
		insert_unique_unit(data, unit, units_index)
	end
end

local function make_perunit(data)
	-- Return a function which, when called, stores a table that defines a
	-- fixup for an automatic per unit. The table is stored in data (also a table).
	local pertype_index = {}  -- to detect attempts to define a fixup twice
	return function (utype, fields)
		-- Store a table to define a fixup.
		-- Typos or other errors in the input are not detected!
		-- Parameter utype is ignored (it is nil).
		-- Throw an error if a problem occurs.
		local lhs, rhs, link, multiplier
		for i, v in ipairs(fields) do
			if v == '' then
				-- Ignore empty fields.
			elseif i == 1 then
				lhs = v  -- like "length/time"
			elseif i == 2 then
				rhs = v  -- like "speed"
			elseif i == 3 then
				link = v
			elseif i == 4 then
				if not tonumber(v) then
					quit('m_per_inv')
				end
				multiplier = v
			else
				quit('m_per_inv')
			end
		end
		if lhs and (rhs or link or multiplier) then
			if link or multiplier then
				local parts = collection()
				if rhs then
					parts:add('utype = "' .. rhs .. '"')
				end
				if link then
					parts:add('link = "' .. link .. '"')
				end
				if multiplier then
					parts:add('multiplier = ' .. multiplier)
				end
				rhs = '{ ' .. parts:join(', ') .. ' }'
			else
				rhs = '"' .. rhs .. '"'
			end
			if pertype_index[lhs] then
				quit('m_per_dup', lhs)
			end
			pertype_index[lhs] = rhs
			table.insert(data, { lhs = lhs, rhs = rhs })
		else
			quit('m_per_inv')
		end
	end
end

local function make_varname(data)
	-- Return a function which, when called, stores a table that defines a
	-- variable name for a unit. The table is stored in data (also a table).
	return function (utype, fields)
		-- Set or update an entry in the data table to record that a unit has a variable name.
		-- This is for slwiki where a unit name depends on the value.
		-- The target units must be defined first.
		-- Parameter utype is ignored (it is nil).
		-- Throw an error if a problem occurs.
		local count = #fields
		if count ~= 5 then
			quit('m_var_cnt')
		end
		local ucode
		local names = {}
		for i = 1, count do
			local v = fields[i]
			if empty(v) then
				quit('m_var_miss')
			end
			if i == 1 then  -- unitcode
				ucode = v
				if not get_unit(v) then
					quit('m_var_undef', v)
				end
			else
				table.insert(names, v)
			end
		end
		if data[ucode] then
			quit('m_var_dup', ucode)
		end
		data[ucode] = table.concat(names, '!')
	end
end

local function reversed(t)
	-- Return a numbered table in reverse order.
	local reversed, count = {}, #t
	for i = 1, count do
		reversed[i] = t[count + 1 - i]
	end
	return reversed
end

local function make_inputmultiple(data)
	-- Return a function which, when called, stores a table that defines a
	-- single composite (multiple input) unit. The table is stored in data (also a table).
	return function (utype, fields)
		-- Set or update an entry in the data table to record that a unit
		-- accepts subdivisions to make a composite input unit like '|2|ft|6|in'.
		-- The target units must be defined first.
		-- Throw an error if a problem occurs.
		local unitcode  -- dummy code required for simplicity, but which is not used in output
		local alternate_code  -- an alternative unit code can be specified to replace convert input
		local fixed_name  -- a fixed name can be specified to replace the unit's normal symbol/name
		local default_code
		local ucodes, scales = {}, {}
		for i, v in ipairs(fields) do
			-- 1=composite, 2=ucode1, 3=ucode2, 4=default, 5=alternate, 6=name
			if i == 1 then
				if v == '' then
					quit('m_cmp_miss')
				end
				unitcode = v
			elseif 2 <= i and i <= 5 then
				if not (i == 5 and v == '') then
					local target = get_unit(v, (i == 4) and utype or nil)  -- the default may be an auto combination
					if not target then
						quit('m_cmp_undef', v, unitcode)
					end
					if target.utype ~= utype then
						quit('m_cmp_type', v, unitcode)
					end
					if i < 4 then
						if not target.scale then
							quit('m_mul_std', v, unitcode)
						end
						table.insert(ucodes, v)
						table.insert(scales, target.scale)
					elseif i == 4 then
						default_code = v
					else
						if scales[#scales] ~= target.scale then
							quit('m_cmp_scale', v, unitcode)
						end
						alternate_code = v
					end
				end
			elseif i == 6 then
				if v ~= '' then
					fixed_name = v
				end
			else
				quit('m_cmp_many', unitcode)
			end
		end
		if #ucodes ~= 2 then
			quit('m_cmp_two', unitcode)
		end
		if not default_code then
			quit('m_cmp_def', unitcode)
		end
		-- Component units must be specified from most-significant to least-significant,
		-- and each ratio of a pair of scales must be very close to an integer.
		-- Currently, there will be exactly two scales and one ratio.
		local ratios, count = {}, #scales
		for i = 1, count do
			local scale = tonumber(scales[i])
			if scale == nil or scale <= 0 then
				quit('m_cmp_inval', unitcode, scales[i])
			end
			scales[i] = scale
		end
		for i = 1, count - 1 do
			local ratio = scales[i] / scales[i + 1]
			local rounded = math.floor(ratio + 0.5)
			if rounded < 2 then
				quit('m_cmp_order', unitcode)
			end
			if math.abs(ratio - rounded)/ratio > 1e-6 then
				quit('m_cmp_int', unitcode)
			end
			ratios[i] = rounded
		end
		local text = { tostring(ratios[1]) }
		local function add_text(key, value)
			table.insert(text, string.format('%s = %q', key, value))
		end
		if default_code then
			add_text('default', default_code)
		end
		if alternate_code then
			add_text('unit', alternate_code)
		end
		if fixed_name then
			add_text('name', fixed_name)
		end
		local subdiv = string.format('["%s"] = { %s }', ucodes[2], table.concat(text, ', '))
		local main_code = ucodes[1]
		local item = data[main_code]
		if item then
			table.insert(item.subdivs, subdiv)
		else
			data[main_code] = { subdivs = { subdiv } }
		end
	end
end

local function make_outputmultiple(data)
	-- Return a function which, when called, stores a table that defines a
	-- single multiple output unit. The table is stored in data (also a table).
	return function (utype, fields)
		-- Store a table defining a unit.
		-- This is for a multiple unit like 'ydftin' (result in yards, feet, inches).
		-- The target units must be defined first.
		-- Throw an error if a problem occurs.
		local unit = { utype = utype }
		local ucodes, scales = {}, {}
		for i, v in ipairs(fields) do
			if i == 1 then  -- unitcode
				if v == '' then
					quit('m_mul_miss')
				end
				unit.unitcode = v
			elseif v == '' then
				-- Ignore empty fields.
			else
				local target = get_unit(v)
				if not target then
					quit('m_mul_undef', v, unit.unitcode)
				end
				if target.utype ~= utype then
					quit('m_mul_type', v, unit.unitcode)
				end
				if not target.scale then
					quit('m_mul_std', v, unit.unitcode)
				end
				table.insert(ucodes, v)
				table.insert(scales, target.scale)
			end
		end
		if #ucodes < 2 then
			quit(#ucodes == 0 and 'm_mul_none' or 'm_mul_one', unit.unitcode)
		end
		-- Component units must be specified from most-significant to least-significant
		-- (so scale values will be in descending order),
		-- and each ratio of a pair of scales must be very close to an integer.
		-- The componenets and ratios are stored in reverse order (least significant first).
		-- This script stores a unit scale as a string (might be an expression like "5/9"),
		-- but scales in a multiple are handled as numbers (should never be expressions).
		local ratios, count = {}, #scales
		for i = 1, count do
			local scale = tonumber(scales[i])
			if scale == nil or scale <= 0 then
				quit('m_mul_scale', unit.unitcode, scales[i])
			end
			scales[i] = scale
		end
		for i = 1, count - 1 do
			local ratio = scales[i] / scales[i + 1]
			local rounded = math.floor(ratio + 0.5)
			if rounded < 2 then
				quit('m_mul_order', unit.unitcode)
			end
			if math.abs(ratio - rounded)/ratio > 1e-6 then
				quit('m_mul_int', unit.unitcode)
			end
			ratios[i] = rounded
		end
		unit.combination = reversed(ucodes)
		unit.multiple = reversed(ratios)
		insert_unique_unit(data, unit, units_index)
	end
end

-- To make updating the data module easier, this script inserts a preamble
-- and a postamble so the result can be used to replace the whole page.
local data_preamble = [=[
-- Conversion data used by [[Module:Convert]] which uses mw.loadData() for
-- read-only access to this module so that it is loaded only once per page.
-- See [[:en:Template:Convert/Transwiki guide]] if copying to another wiki.
--
-- These data tables follow:
--   all_units           all properties for a unit, including default output
--   default_exceptions  exceptions for default output ('kg' and 'g' have different defaults)
--   link_exceptions     exceptions for links ('kg' and 'g' have different links)
--
-- These tables are generated by a script which reads the wikitext of a page that
-- documents the required properties of each unit; see [[:en:Module:Convert/doc]].
]=]

local data_postamble = [=[
return {
	all_units = all_units,
	default_exceptions = default_exceptions,
	link_exceptions = link_exceptions,
	per_unit_fixups = per_unit_fixups,
}]=]

local out_unit_prefix = [[
---------------------------------------------------------------------------
-- Do not change the data in this table because it is created by running --
-- a script that reads the wikitext from a wiki page (see note above).   --
---------------------------------------------------------------------------
local all_units = {]]

local out_unit_suffix = [[
}
]]

local out_default_prefix = [[
---------------------------------------------------------------------------
-- Do not change the data in this table because it is created by running --
-- a script that reads the wikitext from a wiki page (see note above).   --
---------------------------------------------------------------------------
local default_exceptions = {
	-- Prefixed units with a default different from that of the base unit.
	-- Each key item is a prefixed symbol (unitcode for engineering notation).]]

local out_default_suffix = [[
}
]]

local out_default_item = [[
	["{symbol}"] = "{default}",]]

local out_link_prefix = [[
---------------------------------------------------------------------------
-- Do not change the data in this table because it is created by running --
-- a script that reads the wikitext from a wiki page (see note above).   --
---------------------------------------------------------------------------
local link_exceptions = {
	-- Prefixed units with a linked article different from that of the base unit.
	-- Each key item is a prefixed symbol (not unitcode).]]

local out_link_suffix = [[
}
]]

local out_link_item = [[
	["{symbol}"] = "{link}",]]

local out_perunit_prefix = [[
---------------------------------------------------------------------------
-- Do not change the data in this table because it is created by running --
-- a script that reads the wikitext from a wiki page (see note above).   --
---------------------------------------------------------------------------
local per_unit_fixups = {
	-- Automatically created per units of form "x/y" may have their unit type
	-- changed, for example, "length/time" is changed to "speed".
	-- Other adjustments can also be specified.]]

local out_perunit_suffix = [[
}
]]

local out_perunit_item = [[
	["{lhs}"] = {rhs},]]

local combination_specification = {     -- pure combination like 'm ft', or a multiple like 'ftin'
	'combination',
	'multiple',
	'utype',
}

local alias_specification = {
	'target',
	'symbol',
	'sp_us',
	'default',
	'link',
	'symlink',
	'customary',
	'multiplier',
}

local per_specification = {
	'per',
	'symbol',
	'sp_us',
	'utype',
	'invert',
	'iscomplex',
	'default',
	'link',
	'symlink',
	'customary',
	'multiplier',
}

local shouldbe_specification = {
	'shouldbe',
}

local unit_specification = {
	'_name1',
	'_name1_us',
	'_name2',
	'_name2_us',
	'_symbol',
	'_sym_us',
	'prefix_position',
	'name1',
	'name1_us',
	'name2',
	'name2_us',
	'varname',
	'symbol',
	'sym_us',
	'usename',
	'usesymbol',
	'utype',
	'alttype',
	'builtin',
	'scale',
	'offset',
	'invert',
	'iscomplex',
	'istemperature',
	'exception',
	'prefixes',
	'default',
	'subdivs',
	'defkey',
	'linkey',
	'link',
	'customary',
	'sp_us',
}

local no_quotes = {
	combination = true,
	customary = true,
	multiple = true,
	multiplier = true,
	offset = true,
	per = true,
	prefix_position = true,
	scale = true,
	subdivs = true,
}

local function add_unit_lines(results, unit, spec)
	-- Add lines of Lua source to define a unit to the results collection.
	local function add_line(line)
		-- Had planned to replace sequences of spaces with 4-column tabs here
		-- (because the CodeEditor now assumes the use of such tabs).
		-- However, 4-column tabs are only visible when editing a module
		-- with browser scripting and the CodeEditor enabled, and that is rare.
		-- A module is usually viewed (with 8-column tabs), and some indents
		-- would be messed up unless 8-column tabs are used. Therefore,
		-- have decided to simply replace 8 spaces at start of line with a single
		-- tab which reduces the size of the module, and is correct for viewing.
		if line:sub(1, 8) == string.rep(' ', 8) then
			line = '\t' .. line:sub(9)
		end
		results:add(line)
	end
	local first_item = '    ["' .. unit.unitcode .. '"] = {'
	local last_item  = '    },'
	add_line(first_item)
	for _, k in ipairs(spec) do
		local v = unit[k]
		if v then
			local want_quotes = (type(v) == 'string' and not no_quotes[k])
			if type(v) == 'boolean' then
				v = tostring(v)
			elseif type(v) == 'number' or k == 'scale' then
				-- Replace results like '1e-006' with '1e-6'.
				v = string.gsub(tostring(v), '(e[+-])0+([1-9].*)', '%1%2', 1)
			elseif type(v) ~= 'string' then
				quit('m_ftl_type', unit.unitcode)
			end
			local fmt = string.format('%8s%%-9s= %%%s,', '', want_quotes and 'q' or 's')
			add_line(fmt:format(k, v))
		end
	end
	add_line(last_item)
end

local function numbered_table_as_string(data, unit)
	local t = {}
	for _, v in ipairs(data) do
		if type(v) == 'string' then
			table.insert(t, '"' .. v .. '"')
		elseif type(v) == 'number' then
			table.insert(t, tostring(v))
		else
			quit('m_ftl_type', unit.unitcode)
		end
	end
	return '{ ' .. table.concat(t, ', ') .. ' }'
end

local function extract_heading(line)
	-- Return n, s where n = heading level number (nil if none), and
	-- s = heading text (with leading/trailing whitespace removed).
	local pattern = '^(==+)%s*(.-)%s*(==+)%s*$'
	local before, heading, after = line:match(pattern)
	if heading and #heading > 0 then
		-- Don't bother checking if before == after.
		return #before, heading
	end
end

local function fields(line)
	-- Return a numbered table of fields split from line.
	-- Items are delimited by "||".
	-- Each item has leading/trailing whitespace removed, and any encoded pipe
	-- characters are decoded.
	-- The second field (for symbol when processing units) is adjusted to
	-- remove any "colspan" at the front of lines like:
	-- "| unitcode || colspan="11" | !Text to display for an error message".
	local t = {}
	line = line .. "||"  -- to get last field
	for item in line:gmatch("%s*(.-)%s*||") do
		table.insert(t, (item:gsub('&#124;', '|')))
	end
	if t[2] then
		local cleaned = t[2]:match('^%s*colspan%s*=.-|%s*(.*)$')
		if cleaned then
			t[2] = cleaned
		end
	end
	return t
end

local function prepare_section(maker, lines, section, maxerrors, need_section, need_utype)
	-- Process the first level-two section with the given section name
	-- in the given table of lines of wikitext.
	-- If successful, maker inserts each item into a table.
	-- Otherwise, an error is thrown.
	local skip = true
	local errors = collection()
	local utype  -- unit type (from level-three heading)
	local nbsp = '\194\160'  -- nonbreaking space is utf-8 encoded as hex c2 a0
	for linenumber, line in ipairs(lines) do
		if skip then
			-- Skip down to and including the starting heading.
			local level, heading = extract_heading(line)
			if level == 2 and heading == section then
				skip = false
			end
		else
			-- Accummulate unit definitions.
			local c1 = line:sub(1, 1)
			local c2 = line:sub(2, 2)
			if c1 == '|' and not (c2 == '-' or c2 == '}') then
				if need_utype and empty(utype) then
					quit('m_hdg_lev3', line)
				end
				if line:find(nbsp, 1, true) then
					-- For example, "acre ft" does not work if it contains nbsp.
					add_warning('m_wrn_nbsp', linenumber)
				end
				local ok, msg = pcall(maker, utype, fields(line:sub(2)))
				if not ok then
					if msg:sub(-1) == '.' then msg = msg:sub(1, -2) end
					errors:add(msg .. message('m_line_num', linenumber))
					if errors.n >= maxerrors then
						break
					end
				end
			else
				local level, heading = extract_heading(line)
				if level == 3 then
					utype = ulower(heading)
				elseif level == 2 then
					break
				end
			end
		end
	end
	if skip and need_section then
		quit('m_hdg_lev2', section)
	end
	if errors.n > 0 then
		error(errors:join(), 0)
	end
end

local function get_page_lines(page_title)
	-- Read the wikitext of the page at the given title; split the text into
	-- lines with leading and trailing space removed from each line.
	-- Return a numbered table of the lines, or throw an error.
	if empty(page_title) then
		quit('m_no_title')
	end
	local t = mw.title.new(page_title)
	if t then
		local content = t:getContent()
		if content then
			if content:sub(-1) ~= '\n' then
				content = content .. '\n'
			end
			local lines = collection()
			for line in string.gmatch(content, '[\t ]*(.-)[\t\r ]*\n') do
				lines:add(line)
			end
			return lines
		end
	end
	quit('m_ftl_read', page_title)
end

local function prepare_data(conversion_data_title, maxerrors, is_sandbox)
	-- Read the page of conversion data, and process the wikitext
	-- in the sections with wanted level-two headings.
	-- Return units, defaults, links (three tables).
	-- Throw an error if a problem occurs.
	local composites, defaults, links, units, perunits, varnames = {}, {}, {}, {}, {}, {}
	local sections = {
		{ 'overrides'   , make_override      , overrides , 0 },
		{ 'conversions' , make_unit          , units     , 0 },
		{ 'outmultiples', make_outputmultiple, units     , 0 },
		{ 'combinations', make_combination   , units     , 0 },
		{ 'inmultiples' , make_inputmultiple , composites, 0 },  -- after all units defined so default will be defined
		{ 'defaults'    , make_default       , defaults  , 0 },
		{ 'links'       , make_link          , links     , 0 },
		{ 'perunits'    , make_perunit       , perunits  , 1 },
		{ 'varnames'    , make_varname       , varnames  , 1 },
	}
	local lines = get_page_lines(conversion_data_title)
	for _, section in ipairs(sections) do
		local heading = mtext.section_names[section[1]]
		local maker = section[2](section[3])
		local code = section[4]
		local need_section, need_utype
		if code == 0 and not is_sandbox then
			need_section = true
		end
		if code == 0 then
			need_utype = true
		end
		prepare_section(maker, lines, heading, maxerrors, need_section, need_utype)
	end
	check_all_defaults(units, maxerrors)
	check_all_pers(units, maxerrors)
	update_units(units, composites, varnames)
	return units, defaults, links, perunits
end

local function _makeunits(results, data_title, text_title)
	-- Read the wikitext for the conversion data.
	-- Append output to given results collection, or throw error if a problem.
	text_code = require(text_title)
	for _, name in ipairs({ 'SIprefixes', 'eng_scales', 'currency' }) do
		if type(text_code[name]) ~= 'table' then
			quit('m_ftl_table', text_title, name)
		end
	end
	local translation = text_code.translation_table
	if translation then
		if translation.plural_suffix then
			plural_suffix = translation.plural_suffix
		end
		local ts = translation.specials
		if ts then
			if ts.utype then
				specials.utype = ts.utype
			end
			if ts.ucode then
				specials.ucode = ts.ucode
			end
		end
		local tm = translation.mtext
		if tm then
			if tm.section_names then
				mtext.section_names = tm.section_names
			end
			if tm.titles then
				mtext.titles = tm.titles
			end
			if tm.messages then
				mtext.messages = tm.messages
			end
		end
	end
	local is_sandbox
	local conversion_data_title = mtext.titles.conversion_data
	if data_title and conversion_data_title ~= data_title then
		conversion_data_title = data_title
		if is_test_run then
			is_sandbox = true
			data_preamble = nil
			data_postamble = nil
			out_unit_prefix = 'local all_units = {'
			out_unit_suffix = '}'
			out_default_prefix = '\nlocal default_exceptions = {'
			out_default_suffix = '}'
			out_default_item = '\t["{symbol}"] = "{default}",'
			out_link_prefix = '\nlocal link_exceptions = {'
			out_link_suffix = '}'
			out_link_item = '\t["{symbol}"] = "{link}",'
			out_perunit_prefix = '\nlocal per_unit_fixups = {'
			out_perunit_suffix = '}'
			out_perunit_item = '\t["{lhs}"] = {rhs},'
		end
	end
	local units, defaults, links, perunits = prepare_data(conversion_data_title, 20, is_sandbox)
	if data_preamble then
		results:add(data_preamble)
	end
	results:add(out_unit_prefix)
	for _, unit in ipairs(units) do
		local spec
		if unit.target then
			spec = alias_specification
		elseif unit.per then
			spec = per_specification
			unit.per = numbered_table_as_string(unit.per, unit)
		elseif unit.shouldbe then
			spec = shouldbe_specification
		elseif unit.combination then
			spec = combination_specification
			unit.combination = numbered_table_as_string(unit.combination, unit)
			if unit.multiple then
				unit.multiple = numbered_table_as_string(unit.multiple, unit)
			end
		else
			spec = unit_specification
		end
		add_unit_lines(results, unit, spec)
	end
	results:add(out_unit_suffix)
	for _, t in ipairs({
		{ defaults, out_default_prefix, out_default_item, out_default_suffix },
		{ links   , out_link_prefix   , out_link_item   , out_link_suffix    },
		{ perunits, out_perunit_prefix, out_perunit_item, out_perunit_suffix } }) do
		local data, prefix, item, suffix = t[1], t[2], t[3], t[4]
		if #data > 0 or not is_sandbox then
			results:add(prefix)
			for _, unit in ipairs(data) do
				results:add((item:gsub('{([%w_]+)}', unit)))
			end
			results:add(suffix)
		end
	end
	if data_postamble then
		results:add(data_postamble)
	end
end

local function makeunits(frame)
	local args = frame.args
	local results = collection()
	local ok, msg = pcall(_makeunits, results, args[1], args[2] or 'Module:Convert/text')
	if not ok then
		results:add(message('m_error'))
		results:add('')
		results:add(msg)
	end
	local warn = ''
	if warnings.n > 0 then
		warn = message('m_warning') .. '\n\n' .. warnings:join() .. '\n\n'
	end
	-- Pre tags returned by a module are html tags, not like wikitext <pre>...</pre>.
	-- The following renders the text as is, and preserves tab characters.
	return '<pre>\n' .. mw.text.nowiki(warn .. results:join()) .. '\n</pre>\n'
end

return { makeunits = makeunits }