:Module:Convert

-- Convert a value from one unit of measurement to another.

-- Example: {{convert|123|lb|kg}} --> 123 pounds (56 kg)

-- See :en:Template:Convert/Transwiki guide if copying to another wiki.

local MINUS = '−' -- Unicode U+2212 MINUS SIGN (UTF-8: e2 88 92)

local abs = math.abs

local floor = math.floor

local format = string.format

local log10 = math.log10

local ustring = mw.ustring

local ulen = ustring.len

local usub = ustring.sub

-- Configuration options to keep magic values in one location.

-- Conversion data and message text are defined in separate modules.

local config, maxsigfig

local numdot -- must be '.' or ',' or a character which works in a regex

local numsep, numsep_remove, numsep_remove2

local data_code, all_units

local text_code

local varname -- can be a code to use variable names that depend on value

local from_en_table -- to translate an output string of en digits to local language

local to_en_table -- to translate an input string of digits in local language to en

-- Use translation_table in convert/text to change the following.

local en_default -- true uses lang=en unless convert has lang=local or local digits

local group_method = 3 -- code for how many digits are in a group

local per_word = 'per' -- for units like "liters per kilometer"

local plural_suffix = 's' -- only other useful value is probably '' to disable plural unit names

local omitsep -- true to omit separator before local symbol/name

-- All units should be defined in the data module. However, to cater for quick changes

-- and experiments, any unknown unit is looked up in an extra data module, if it exists.

-- That module would be transcluded in only a small number of pages, so there should be

-- little server overhead from making changes, and changes should propagate quickly.

local extra_module -- name of module with extra units

local extra_units -- nil or table of extra units from extra_module

-- Some options in the invoking template can set variables used later in the module.

local currency_text -- for a user-defined currency symbol: {{convert|12|$/ha|$=€}} (euro replaces dollar)

local function from_en(text)

-- Input is a string representing a number in en digits with '.' decimal mark,

-- without digit grouping (which is done just after calling this).

-- Return the translation of the string with numdot and digits in local language.

if numdot ~= '.' then

text = text:gsub('%.', numdot)

end

if from_en_table then

text = text:gsub('%d', from_en_table)

end

return text

end

local function to_en(text)

-- Input is a string representing a number in the local language with

-- an optional numdot decimal mark and numsep digit grouping.

-- Return the translation of the string with '.' mark and en digits,

-- and no separators (they have to be removed here to handle cases like

-- numsep = '.' and numdot = ',' with input "1.234.567,8").

if to_en_table then

text = ustring.gsub(text, '%d', to_en_table)

end

if numsep_remove then

text = text:gsub(numsep_remove, '')

end

if numsep_remove2 then

text = text:gsub(numsep_remove2, '')

end

if numdot ~= '.' then

text = text:gsub(numdot, '.')

end

return text

end

local function decimal_mark(text)

-- Return ',' if text probably is using comma for decimal mark, or has no decimal mark.

-- Return '.' if text probably is using dot for decimal mark.

-- Otherwise return nothing (decimal mark not known).

if not text:find('[.,]') then return ',' end

text = text:gsub('^%-', ):gsub('%+%d+/%d+$', ):gsub('[Ee]%-?%d+$', '')

local decimal =

text:match('^0?([.,])%d+$') or

text:match('%d([.,])%d?%d?$') or

text:match('%d([.,])%d%d%d%d+$')

if decimal then return decimal end

if text:match('%.%d+%.') then return ',' end

if text:match('%,%d+,') then return '.' end

end

local add_warning, with_separator -- forward declarations

local function to_en_with_check(text, parms)

-- Version of to_en() for a wiki using numdot = ',' and numsep = '.' to check

-- text (an input number as a string) which might have been copied from enwiki.

-- For example, in '1.234' the '.' could be a decimal mark or a group separator.

-- From viwiki.

if to_en_table then

text = ustring.gsub(text, '%d', to_en_table)

end

if decimal_mark(text) == '.' then

local original = text

text = text:gsub(',', '') -- for example, interpret "1,234.5" as an enwiki value

if parms then

add_warning(parms, 0, 'cvt_enwiki_num', original, with_separator({}, text))

end

else

if numsep_remove then

text = text:gsub(numsep_remove, '')

end

if numsep_remove2 then

text = text:gsub(numsep_remove2, '')

end

if numdot ~= '.' then

text = text:gsub(numdot, '.')

end

end

return text

end

local function omit_separator(id)

-- Return true if there should be no separator before id (a unit symbol or name).

-- For zhwiki, there should be no separator if id uses local characters.

-- The following kludge should be a sufficient test.

if omitsep then

if id:sub(1, 2) == '-{' then -- for "-{...}-" content language variant

return true

end

if id:byte() > 127 then

local first = usub(id, 1, 1)

if first ~= 'Å' and first ~= '°' and first ~= 'µ' then

return true

end

end

end

return id:sub(1, 1) == '/' -- no separator before units like "/ha"

end

local spell_module -- name of module that can spell numbers

local speller -- function from that module to handle spelling (set if needed)

local wikidata_module, wikidata_data_module -- names of Wikidata modules

local wikidata_code, wikidata_data -- exported tables from those modules (set if needed)

local function set_config(args)

-- Set configuration options from template #invoke or defaults.

config = args

maxsigfig = config.maxsigfig or 14 -- maximum number of significant figures

local data_module, text_module

local sandbox = config.sandbox and ('/' .. config.sandbox) or ''

data_module = "Module:Convert/data" .. sandbox

text_module = "Module:Convert/text" .. sandbox

extra_module = "Module:Convert/extra" .. sandbox

wikidata_module = "Module:Convert/wikidata" .. sandbox

wikidata_data_module = "Module:Convert/wikidata/data" .. sandbox

spell_module = "Module:ConvertNumeric"

data_code = mw.loadData(data_module)

text_code = mw.loadData(text_module)

all_units = data_code.all_units

local translation = text_code.translation_table

if translation then

numdot = translation.numdot

numsep = translation.numsep

if numdot == ',' and numsep == '.' then

if text_code.all_messages.cvt_enwiki_num then

to_en = to_en_with_check

end

end

if translation.group then

group_method = translation.group

end

if translation.per_word then

per_word = translation.per_word

end

if translation.plural_suffix then

plural_suffix = translation.plural_suffix

end

varname = translation.varname

from_en_table = translation.from_en

local use_workaround = true

if use_workaround then

-- 2013-07-05 workaround bug by making a copy of the required table.

-- mw.ustring.gsub fails with a table (to_en_table) as the replacement,

-- if the table is accessed via mw.loadData.

local source = translation.to_en

if source then

to_en_table = {}

for k, v in pairs(source) do

to_en_table[k] = v

end

end

else

to_en_table = translation.to_en

end

if translation.lang == 'en default' then

en_default = true -- for hiwiki

end

omitsep = translation.omitsep -- for zhwiki

end

numdot = config.numdot or numdot or '.' -- decimal mark before fractional digits

numsep = config.numsep or numsep or ',' -- group separator for numbers

-- numsep should be ',' or '.' or '' or ' ' or a Unicode character.

-- numsep_remove must work in a regex to identify separators to be removed.

if numsep ~= '' then

numsep_remove = (numsep == '.') and '%.' or numsep

end

if numsep ~= ',' and numdot ~= ',' then

numsep_remove2 = ',' -- so numbers copied from enwiki will work

end

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,

}

end

local function divide(numerator, denominator)

-- Return integers quotient, remainder resulting from dividing the two

-- given numbers, which should be unsigned integers.

local quotient, remainder = floor(numerator / denominator), numerator % denominator

if not (0 <= remainder and remainder < denominator) then

-- Floating point limits may need this, as in {{convert|160.02|Ym|ydftin}}.

remainder = 0

end

return quotient, remainder

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 function strip(text)

-- If text is a string, return its content with no leading/trailing

-- whitespace. Otherwise return nil (a nil argument gives a nil result).

if type(text) == 'string' then

return text:match("^%s*(.-)%s*$")

end

end

local function table_len(t)

-- Return length (<100) of a numbered table to replace #t which is

-- documented to not work if t is accessed via mw.loadData().

for i = 1, 100 do

if t[i] == nil then

return i - 1

end

end

end

local function wanted_category(catkey, catsort, want_warning)

-- Return message category if it is wanted in current namespace,

-- otherwise return ''.

local cat

local title = mw.title.getCurrentTitle()

if title then

local nsdefault = '0' -- default namespace: '0' = article; '0,10' = article and template

local namespace = title.namespace

for _, v in ipairs(split(config.nscat or nsdefault, ',')) do

if namespace == tonumber(v) then

cat = text_code.all_categories[want_warning and 'warning' or catkey]

if catsort and catsort ~= '' and cat:sub(-2) == ']]' then

cat = cat:sub(1, -3) .. '|' .. mw.text.nowiki(usub(catsort, 1, 20)) .. ']]'

end

break

end

end

end

return cat or ''

end

local function message(parms, mcode, is_warning)

-- Return wikitext for an error message, including category if specified

-- for the message type.

-- mcode = numbered table specifying the message:

-- mcode[1] = 'cvt_xxx' (string used as a key to get message info)

-- mcode[2] = 'parm1' (string to replace '$1' if any in message)

-- mcode[3] = 'parm2' (string to replace '$2' if any in message)

-- mcode[4] = 'parm3' (string to replace '$3' if any in message)

local msg

if type(mcode) == 'table' then

if mcode[1] == 'cvt_no_output' then

-- Some errors should cause convert to output an empty string,

-- for example, for an optional field in an infobox.

return ''

end

msg = text_code.all_messages[mcode[1]]

end

parms.have_problem = true

local function subparm(fmt, ...)

local rep = {}

for i, v in ipairs({...}) do

rep['$' .. i] = v

end

return (fmt:gsub('$%d+', rep))

end

if msg then

local parts = {}

local regex, replace = msg.regex, msg.replace

for i = 1, 3 do

local limit = 40

local s = mcode[i + 1]

if s then

if regex and replace then

s = s:gsub(regex, replace)

limit = nil -- allow long "should be" messages

end

-- Escape user input so it does not break the message.

-- To avoid tags (like {{convert|123|m}}) breaking

-- the mouseover title, any strip marker starting with char(127) is

-- replaced with '...' (text not needing i18n).

local append

local pos = s:find(string.char(127), 1, true)

if pos then

append = '...'

s = s:sub(1, pos - 1)

end

if limit and ulen(s) > limit then

s = usub(s, 1, limit)

append = '...'

end

s = mw.text.nowiki(s) .. (append or '')

else

s = '?'

end

parts['$' .. i] = s

end

local function ispreview()

-- Return true if a prominent message should be shown.

if parms.test == 'preview' or parms.test == 'nopreview' then

-- For testing, can preview a real message or simulate a preview

-- when running automated tests.

return parms.test == 'preview'

end

local success, revid = pcall(function ()

return (parms.frame):preprocess('{{REVISIONID}}') end)

return success and (revid == '')

end

local want_warning = is_warning and

not config.warnings and -- show unobtrusive warnings if config.warnings not configured

not msg.nowarn -- but use msg settings, not standard warning, if specified

local title = string.gsub(msg[1] or 'Missing message', '$%d+', parts)

local text = want_warning and '*' or msg[2] or 'Missing message'

local cat = wanted_category(msg[3], mcode[2], want_warning)

local anchor = msg[4] or ''

local fmtkey = ispreview() and 'cvt_format_preview' or

(want_warning and 'cvt_format2' or msg.format or 'cvt_format')

local fmt = text_code.all_messages[fmtkey] or 'convert: bug'

return subparm(fmt, title:gsub('"', '"'), text, cat, anchor)

end

return 'Convert internal error: unknown message'

end

function add_warning(parms, level, key, text1, text2) -- for forward declaration above

-- If enabled, add a warning that will be displayed after the convert result.

-- A higher level is more verbose: more kinds of warnings are displayed.

-- To reduce output noise, only the first warning is displayed.

if level <= (tonumber(config.warnings) or 1) then

if parms.warnings == nil then

parms.warnings = message(parms, { key, text1, text2 }, true)

end

end

end

local function spell_number(parms, inout, number, numerator, denominator)

-- Return result of spelling (number, numerator, denominator), or

-- return nil if spelling is not available or not supported for given text.

-- Examples (each value must be a string or nil):

-- number numerator denominator output

-- ------ --------- ----------- -------------------

-- "1.23" nil nil one point two three

-- "1" "2" "3" one and two thirds

-- nil "2" "3" two thirds

if not speller then

local function get_speller(module)

return require(module).spell_number

end

local success

success, speller = pcall(get_speller, spell_module)

if not success or type(speller) ~= 'function' then

add_warning(parms, 1, 'cvt_no_spell', 'spell')

return nil

end

end

local case

if parms.spell_upper == inout then

case = true

parms.spell_upper = nil -- only uppercase first word in a multiple unit

end

local sp = not parms.opt_sp_us

local adj = parms.opt_adjectival

return speller(number, numerator, denominator, case, sp, adj)

end

------------------------------------------------------------------------

-- BEGIN: Code required only for built-in units.

-- LATER: If need much more code, move to another module to simplify this module.

local function speed_of_sound(altitude)

-- This is for the Mach built-in unit of speed.

-- Return speed of sound in metres per second at given altitude in feet.

-- If no altitude given, use default (zero altitude = sea level).

-- Table gives speed of sound in miles per hour at various altitudes:

-- altitude = -17,499 to 402,499 feet

-- mach_table[a + 4] = s where

-- a = (altitude / 5000) rounded to nearest integer (-3 to 80)

-- s = speed of sound (mph) at that altitude

-- LATER: Should calculate result from an interpolation between the next

-- lower and higher altitudes in table, rather than rounding to nearest.

-- From: http://www.aerospaceweb.org/question/atmosphere/q0112.shtml

local mach_table = { -- a =

799.5, 787.0, 774.2, 761.207051, -- -3 to 0

748.0, 734.6, 721.0, 707.0, 692.8, 678.3, 663.5, 660.1, 660.1, 660.1, -- 1 to 10

660.1, 660.1, 660.1, 662.0, 664.3, 666.5, 668.9, 671.1, 673.4, 675.6, -- 11 to 20

677.9, 683.7, 689.9, 696.0, 702.1, 708.1, 714.0, 719.9, 725.8, 731.6, -- 21 to 30

737.3, 737.7, 737.7, 736.2, 730.5, 724.6, 718.8, 712.9, 707.0, 701.0, -- 31 to 40

695.0, 688.9, 682.8, 676.6, 670.4, 664.1, 657.8, 652.9, 648.3, 643.7, -- 41 to 50

639.1, 634.4, 629.6, 624.8, 620.0, 615.2, 613.2, 613.2, 613.2, 613.5, -- 51 to 60

614.4, 615.3, 616.7, 619.8, 623.4, 629.7, 635.0, 641.1, 650.6, 660.0, -- 61 to 70

672.5, 674.3, 676.1, 677.9, 679.7, 681.5, 683.3, 685.1, 686.8, 688.6, -- 71 to 80

}

altitude = altitude or 0

local a = (altitude < 0) and -altitude or altitude

a = floor(a / 5000 + 0.5)

if altitude < 0 then

a = -a

end

if a < -3 then

a = -3

elseif a > 80 then

a = 80

end

return mach_table[a + 4] * 0.44704 -- mph converted to m/s

end

-- END: Code required only for built-in units.

------------------------------------------------------------------------

local function add_style(parms, class)

-- Add selected template style to parms if not already present.

parms.templatestyles = parms.templatestyles or {}

if not parms.templatestyles[class] then

parms.templatestyles[class] = parms.frame:extensionTag({

name = 'templatestyles', args = { src = text_code.titles[class] }

})

end

end

local function get_styles(parms)

-- Return string of required template styles, empty if none.

if parms.templatestyles then

local t = {}

for _, v in pairs(parms.templatestyles) do

table.insert(t, v)

end

return table.concat(t)

end

return ''

end

local function get_range(word)

-- Return a range (string or table) corresponding to word (like "to"),

-- or return nil if not a range word.

local ranges = text_code.ranges

return ranges.types[word] or ranges.types[ranges.aliases[word]]

end

local function check_mismatch(unit1, unit2)

-- If unit1 cannot be converted to unit2, return an error message table.

-- This allows conversion between units of the same type, and between

-- Nm (normally torque) and ftlb (energy), as in gun-related articles.

-- This works because Nm is the base unit (scale = 1) for both the

-- primary type (torque), and the alternate type (energy, where Nm = J).

-- A match occurs if the primary types are the same, or if unit1 matches

-- the alternate type of unit2, and vice versa. That provides a whitelist

-- of which conversions are permitted between normally incompatible types.

if unit1.utype == unit2.utype or

(unit1.utype == unit2.alttype and unit1.alttype == unit2.utype) then

return nil

end

return { 'cvt_mismatch', unit1.utype, unit2.utype }

end

local function override_from(out_table, in_table, fields)

-- Copy the specified fields from in_table to out_table, but do not

-- copy nil fields (keep any corresponding field in out_table).

for _, field in ipairs(fields) do

if in_table[field] then

out_table[field] = in_table[field]

end

end

end

local function shallow_copy(t)

-- Return a shallow copy of table t.

-- Do not need the features and overhead of the Scribunto mw.clone().

local result = {}

for k, v in pairs(t) do

result[k] = v

end

return result

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

if value == 'l' then value = 'L' end

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 unit_per_mt = {

-- Metatable to get values for a per unit of form "x/y".

-- This is never called to determine a unit name or link because per units

-- are handled as a special case.

-- Similarly, the default output is handled elsewhere, and for a symbol

-- this is only called from get_default() for default_exceptions.

__index = function (self, key)

local value

if key == 'symbol' then

local per = self.per

local unit1, unit2 = per[1], per[2]

if unit1 then

value = unit1[key] .. '/' .. unit2[key]

else

value = '/' .. unit2[key]

end

elseif key == 'sym_us' then

value = self.symbol

elseif key == 'scale' then

local per = self.per

local unit1, unit2 = per[1], per[2]

value = (unit1 and unit1.scale or 1) * self.scalemultiplier / unit2.scale

else

value = false

end

rawset(self, key, value)

return value

end

}

local function make_per(unitcode, unit_table, ulookup)

-- Return true, t where t is a per unit with unit codes expanded to unit tables,

-- or return false, t where t is an error message table.

local result = {

unitcode = unitcode,

utype = unit_table.utype,

per = {}

}

override_from(result, unit_table, { 'invert', 'iscomplex', 'default', 'link', 'symbol', 'symlink' })

result.symbol_raw = (result.symbol or false) -- to distinguish between a defined exception and a metatable calculation

local prefix

for i, v in ipairs(unit_table.per) do

if i == 1 and v == '' then

-- First unit symbol can be empty; that gives a nil first unit table.

elseif i == 1 and text_code.currency[v] then

prefix = currency_text or v

else

local success, t = ulookup(v)

if not success then return false, t end

result.per[i] = t

end

end

local multiplier = unit_table.multiplier

if not result.utype then

-- Creating an automatic per unit.

local unit1 = result.per[1]

local utype = (unit1 and unit1.utype or prefix or '') .. '/' .. result.per[2].utype

local t = data_code.per_unit_fixups[utype]

if t then

if type(t) == 'table' then

utype = t.utype or utype

result.link = result.link or t.link

multiplier = multiplier or t.multiplier

else

utype = t

end

end

result.utype = utype

end

result.scalemultiplier = multiplier or 1

result.vprefix = prefix or false -- set to non-nil to avoid calling __index

return true, setmetatable(result, unit_per_mt)

end

local function lookup(parms, unitcode, what, utable, fails, depth)

-- Return true, t where t is a copy of the unit's converter table,

-- or return false, t where t is an error message table.

-- Parameter 'what' determines whether combination units are accepted:

-- 'no_combination' : single unit only

-- 'any_combination' : single unit or combination or output multiple

-- 'only_multiple' : single unit or output multiple only

-- Parameter unitcode is a symbol (like 'g'), with an optional SI prefix (like 'kg').

-- If, for example, 'kg' is in this table, that entry is used;

-- otherwise the prefix ('k') is applied to the base unit ('g').

-- If unitcode is a known combination code (and if allowed by what),

-- a table of output multiple unit tables is included in the result.

-- For compatibility with the old template, an underscore in a unitcode is

-- replaced with a space so usage like {{convert|350|board_feet}} works.

-- Wikignomes may also put two spaces or " " in combinations, so

-- replace underscore, " ", and multiple spaces with a single space.

utable = utable or parms.unittable or all_units

fails = fails or {}

depth = depth and depth + 1 or 1

if depth > 9 then

-- There are ways to mistakenly define units which result in infinite

-- recursion when lookup() is called. That gives a long delay and very

-- confusing error messages, so the depth parameter is used as a guard.

return false, { 'cvt_lookup', unitcode }

end

if unitcode == nil or unitcode == '' then

return false, { 'cvt_no_unit' }

end

unitcode = unitcode:gsub('_', ' '):gsub(' ', ' '):gsub(' +', ' ')

local function call_make_per(t)

return make_per(unitcode, t,

function (ucode) return lookup(parms, ucode, 'no_combination', utable, fails, depth) end

)

end

local t = utable[unitcode]

if t then

if t.shouldbe then

return false, { 'cvt_should_be', t.shouldbe }

end

if t.sp_us then

parms.opt_sp_us = true

end

local target = t.target -- nil, or unitcode is an alias for this target

if target then

local success, result = lookup(parms, target, what, utable, fails, depth)

if not success then return false, result end

override_from(result, t, { 'customary', 'default', 'link', 'symbol', 'symlink', 'usename' })

local multiplier = t.multiplier

if multiplier then

result.multiplier = tostring(multiplier)

result.scale = result.scale * multiplier

end

return true, result

end

if t.per then

return call_make_per(t)

end

local combo = t.combination -- nil or a table of unitcodes

if combo then

local multiple = t.multiple

if what == 'no_combination' or (what == 'only_multiple' and not multiple) then

return false, { 'cvt_bad_unit', unitcode }

end

-- Recursively create a combination table containing the

-- converter table of each unitcode.

local result = { utype = t.utype, multiple = multiple, combination = {} }

local cvt = result.combination

for i, v in ipairs(combo) do

local success, t = lookup(parms, v, multiple and 'no_combination' or 'only_multiple', utable, fails, depth)

if not success then return false, t end

cvt[i] = t

end

return true, result

end

local result = shallow_copy(t)

result.unitcode = unitcode

if result.prefixes then

result.si_name = ''

result.si_prefix = ''

return true, setmetatable(result, unit_prefixed_mt)

end

return true, 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 = utable[usub(unitcode, plen+1)]

if t and t.prefixes then

local result = shallow_copy(t)

result.unitcode = unitcode

result.si_name = parms.opt_sp_us and si.name_us or si.name

result.si_prefix = si.prefix or prefix

result.scale = t.scale * 10 ^ (si.exponent * t.prefixes)

return true, setmetatable(result, unit_prefixed_mt)

end

end

end

-- Accept user-defined combinations like "acre+m2+ha" or "acre m2 ha" for output.

-- If '+' is used, each unit code can include a space, and any error is fatal.

-- If ' ' is used and if each space-separated word is a unit code, it is a combo,

-- but errors are not fatal so the unit code can be looked up as an extra unit.

local err_is_fatal

local combo = collection()

if unitcode:find('+', 1, true) then

err_is_fatal = true

for item in (unitcode .. '+'):gmatch('%s*(.-)%s*%+') do

if item ~= '' then

combo:add(item)

end

end

elseif unitcode:find('%s') then

for item in unitcode:gmatch('%S+') do

combo:add(item)

end

end

if combo.n > 1 then

local function lookup_combo()

if what == 'no_combination' or what == 'only_multiple' then

return false, { 'cvt_bad_unit', unitcode }

end

local result = { combination = {} }

local cvt = result.combination

for i, v in ipairs(combo) do

local success, t = lookup(parms, v, 'only_multiple', utable, fails, depth)

if not success then return false, t end

if i == 1 then

result.utype = t.utype

else

local mismatch = check_mismatch(result, t)

if mismatch then

return false, mismatch

end

end

cvt[i] = t

end

return true, result

end

local success, result = lookup_combo()

if success or err_is_fatal then

return success, result

end

end

-- Accept any unit with an engineering notation prefix like "e6cuft"

-- (million cubic feet), but not chained prefixes like "e3e6cuft",

-- and not if the unit is a combination or multiple,

-- and not if the unit has an offset or is a built-in.

-- Only en digits are accepted.

local e, exponent, baseunit = unitcode:match('^([Ee])(%d+)(.*)')

if exponent then

local engscale = text_code.eng_scales[exponent]

if engscale then

local success, result = lookup(parms, baseunit, 'no_combination', utable, fails, depth)

if success and not (result.offset or result.builtin or result.engscale) then

if e == 'E' then

result.this_number_word = true

unitcode = 'e' .. unitcode:sub(2)

end

result.unitcode = unitcode -- 'e6cuft' not 'cuft'

result.defkey = unitcode -- key to lookup default exception

result.engscale = engscale

result.scale = result.scale * 10 ^ tonumber(exponent)

return true, result

end

end

end

-- Look for x/y; split on right-most slash to get scale correct (x/y/z is x/y per z).

local top, bottom = unitcode:match('^(.-)/([^/]+)$')

if top and not unitcode:find('e%d') then

-- If valid, create an automatic per unit for an "x/y" unit code.

-- The unitcode must not include extraneous spaces.

-- Engineering notation (apart from at start and which has been stripped before here),

-- is not supported so do not make a per unit if find text like 'e3' in unitcode.

local success, result = call_make_per({ per = {top, bottom} })

if success then

return true, result

end

end

if not parms.opt_ignore_error and not get_range(unitcode) then

-- Want the "what links here" list for the extra_module to show only cases

-- where an extra unit is used, so do not require it if invoked from {{val}}

-- or if looking up a range word which cannot be a unit.

if not extra_units then

local success, extra = pcall(function () return require(extra_module).extra_units end)

if success and type(extra) == 'table' then

extra_units = extra

end

end

if extra_units then

-- A unit in one data table might refer to a unit in the other table, so

-- switch between them, relying on fails or depth to terminate loops.

if not fails[unitcode] then

fails[unitcode] = true

local other = (utable == all_units) and extra_units or all_units

local success, result = lookup(parms, unitcode, what, other, fails, depth)

if success then

return true, result

end

end

end

end

if to_en_table then

-- At fawiki it is common to translate all digits so a unit like "km2" becomes "km۲".

local en_code = ustring.gsub(unitcode, '%d', to_en_table)

if en_code ~= unitcode then

return lookup(parms, en_code, what, utable, fails, depth)

end

end

return false, { 'cvt_unknown', unitcode }

end

local function valid_number(num)

-- Return true if num is a valid number.

-- In Scribunto (different from some standard Lua), when expressed as a string,

-- overflow or other problems are indicated with text like "inf" or "nan"

-- which are regarded as invalid here (each contains "n").

if type(num) == 'number' and tostring(num):find('n', 1, true) == nil then

return true

end

end

local function hyphenated(name, parts)

-- Return a hyphenated form of given name (for adjectival usage).

-- The name may be linked and the target of the link must not be changed.

-- Hypothetical examples:

-- tonton (no change)

-- long tonlong-ton

-- long tonlong-ton

-- long tonlong-ton

-- Input can also have multiple links in a single name like:

-- U.S. gallon

-- miles per U.S. quart

-- long tons per short ton

-- Assume that links cannot be nested (never like "abc[[defghi]]").

-- This uses a simple and efficient procedure that works for most cases.

-- Some units (if used) would require more, and can later think about

-- adding a method to handle exceptions.

-- The procedure is to replace each space with a hyphen, but

-- not a space after ')' [for "(pre-1954 US) nautical mile"], and

-- not spaces immediately before '(' or in '(...)' [for cases like

-- "British thermal unit (ISO)" and "Calorie (International Steam Table)"].

if name:find(' ', 1, true) then

if parts then

local pos

if name:sub(1, 1) == '(' then

pos = name:find(')', 1, true)

if pos then

return name:sub(1, pos+1) .. name:sub(pos+2):gsub(' ', '-')

end

elseif name:sub(-1) == ')' then

pos = name:find('(', 1, true)

if pos then

return name:sub(1, pos-2):gsub(' ', '-') .. name:sub(pos-1)

end

end

return name:gsub(' ', '-')

end

parts = collection()

for before, item, after in name:gmatch('([^[]*)(%[%[[^[]*%]%])([^[]*)') do

if item:find(' ', 1, true) then

local prefix

local plen = item:find('|', 1, true)

if plen then

prefix = item:sub(1, plen)

item = item:sub(plen + 1, -3)

else

prefix = item:sub(1, -3) .. '|'

item = item:sub(3, -3)

end

item = prefix .. hyphenated(item, parts) .. ']]'

end

parts:add(before:gsub(' ', '-') .. item .. after:gsub(' ', '-'))

end

if parts.n == 0 then

-- No link like "..." was found in the original name.

parts:add(hyphenated(name, parts))

end

return table.concat(parts)

end

return name

end

local function hyphenated_maybe(parms, want_name, sep, id, inout)

-- Return s, f where

-- s = id, possibly modified

-- f = true if hyphenated

-- Possible modifications: hyphenate; prepend '-'; append mid text.

if id == nil or id == '' then

return ''

end

local mid = (inout == (parms.opt_flip and 'out' or 'in')) and parms.mid or ''

if want_name then

if parms.opt_adjectival then

return '-' .. hyphenated(id) .. mid, true

end

if parms.opt_add_s and id:sub(-1) ~= 's' then

id = id .. 's' -- for nowiki

end

end

return sep .. id .. mid

end

local function use_minus(text)

-- Return text with Unicode minus instead of '-', if present.

if text:sub(1, 1) == '-' then

return MINUS .. text:sub(2)

end

return text

end

local function digit_groups(parms, text, method)

-- Return a numbered table of groups of digits (left-to-right, in local language).

-- Parameter method is a number or nil:

-- 3 for 3-digit grouping (default), or

-- 2 for 3-then-2 grouping (only for digits before decimal mark).

local len_right

local len_left = text:find('.', 1, true)

if len_left then

len_right = #text - len_left

len_left = len_left - 1

else

len_left = #text

end

local twos = method == 2 and len_left > 5

local groups = collection()

local run = len_left

local n

if run < 4 or (run == 4 and parms.opt_comma5) then

if parms.opt_gaps then

n = run

else

n = #text

end

elseif twos then

n = run % 2 == 0 and 1 or 2

else

n = run % 3 == 0 and 3 or run % 3

end

while run > 0 do

groups:add(n)

run = run - n

n = (twos and run > 3) and 2 or 3

end

if len_right then

if groups.n == 0 then

groups:add(0)

end

if parms.opt_gaps and len_right > 3 then

local want4 = not parms.opt_gaps3 -- true gives no gap before trailing single digit

local isfirst = true

run = len_right

while run > 0 do

n = (want4 and run == 4) and 4 or (run > 3 and 3 or run)

if isfirst then

isfirst = false

groups[groups.n] = groups[groups.n] + 1 + n

else

groups:add(n)

end

run = run - n

end

else

groups[groups.n] = groups[groups.n] + 1 + len_right

end

end

local pos = 1

for i, length in ipairs(groups) do

groups[i] = from_en(text:sub(pos, pos + length - 1))

pos = pos + length

end

return groups

end

function with_separator(parms, text) -- for forward declaration above

-- Input text is a number in en digits with optional '.' decimal mark.

-- Return an equivalent, formatted for display:

-- with a custom decimal mark instead of '.', if wanted

-- with thousand separators inserted, if wanted

-- digits in local language

-- The given text is like '123' or '123.' or '12345.6789'.

-- The text has no sign (caller inserts that later, if necessary).

-- When using gaps, they are inserted before and after the decimal mark.

-- Separators are inserted only before the decimal mark.

-- A trailing dot (as in '123.') is removed because their use appears to

-- be accidental, and such a number should be shown as '123' or '123.0'.

-- It is useful for convert to suppress the dot so, for example, '4000.'

-- is a simple way of indicating that all the digits are significant.

if text:sub(-1) == '.' then

text = text:sub(1, -2)

end

if #text < 4 or parms.opt_nocomma or numsep == '' then

return from_en(text)

end

local groups = digit_groups(parms, text, group_method)

if parms.opt_gaps then

if groups.n <= 1 then

return groups[1] or ''

end

local nowrap = ''

local gap = ''

local close = ''

return nowrap .. groups[1] .. gap .. table.concat(groups, close .. gap, 2, groups.n) .. close .. close

end

return table.concat(groups, numsep)

end

-- An input value like 1.23e12 is displayed using scientific notation (1.23×10¹²).

-- That also makes the output use scientific notation, except for small values.

-- In addition, very small or very large output values use scientific notation.

-- Use format(fmtpower, significand, '10', exponent) where each argument is a string.

local fmtpower = '%s×%s%s'

local function with_exponent(parms, show, exponent)

-- Return wikitext to display the implied value in scientific notation.

-- Input uses en digits; output uses digits in local language.

return format(fmtpower, with_separator(parms, show), from_en('10'), use_minus(from_en(tostring(exponent))))

end

local function make_sigfig(value, sigfig)

-- Return show, exponent that are equivalent to the result of

-- converting the number 'value' (where value >= 0) to a string,

-- rounded to 'sigfig' significant figures.

-- The returned items are:

-- show: a string of digits; no sign and no dot;

-- there is an implied dot before show.

-- exponent: a number (an integer) to shift the implied dot.

-- Resulting value = tonumber('.' .. show) * 10^exponent.

-- Examples:

-- make_sigfig(23.456, 3) returns '235', 2 (.235 * 10^2).

-- make_sigfig(0.0023456, 3) returns '235', -2 (.235 * 10^-2).

-- make_sigfig(0, 3) returns '000', 1 (.000 * 10^1).

if sigfig <= 0 then

sigfig = 1

elseif sigfig > maxsigfig then

sigfig = maxsigfig

end

if value == 0 then

return string.rep('0', sigfig), 1

end

local exp, fracpart = math.modf(log10(value))

if fracpart >= 0 then

fracpart = fracpart - 1

exp = exp + 1

end

local digits = format('%.0f', 10^(fracpart + sigfig))

if #digits > sigfig then

-- Overflow (for sigfig=3: like 0.9999 rounding to "1000"; need "100").

digits = digits:sub(1, sigfig)

exp = exp + 1

end

assert(#digits == sigfig, 'Bug: rounded number has wrong length')

return digits, exp

end

-- Fraction output format.

local fracfmt = {

{ -- Like {{frac}} (fraction slash).

'{SIGN}{NUM}{DEN}', -- 1/2

'{SIGN}{WHOLE}+{NUM}{DEN}', -- 1+2/3

style = 'frac',

},

{ -- Like {{sfrac}} (stacked fraction, that is, horizontal bar).

'{SIGN}{NUM}/{DEN}', -- 1//2

'{SIGN}{WHOLE}+{NUM}/{DEN}', -- 1+2//3

style = 'sfrac',

},

}

local function format_fraction(parms, inout, negative, wholestr, numstr, denstr, do_spell, style)

-- Return wikitext for a fraction, possibly spelled.

-- Inputs use en digits and have no sign; output uses digits in local language.

local wikitext

if not style then

style = parms.opt_fraction_horizontal and 2 or 1

end

if wholestr == '' then

wholestr = nil

end

local substitute = {

SIGN = negative and MINUS or '',

WHOLE = wholestr and with_separator(parms, wholestr),

NUM = from_en(numstr),

DEN = from_en(denstr),

}

wikitext = fracfmt[style][wholestr and 2 or 1]:gsub('{(%u+)}', substitute)

if do_spell then

if negative then

if wholestr then

wholestr = '-' .. wholestr

else

numstr = '-' .. numstr

end

end

local s = spell_number(parms, inout, wholestr, numstr, denstr)

if s then

return s

end

end

add_style(parms, fracfmt[style].style)

return wikitext

end

local function format_number(parms, show, exponent, isnegative)

-- Parameter show is a string or a table containing strings.

-- Each string is a formatted number in en digits and optional '.' decimal mark.

-- A table represents a fraction: integer, numerator, denominator;

-- if a table is given, exponent must be nil.

-- Return t where t is a table with fields:

-- show = wikitext formatted to display implied value

-- (digits in local language)

-- is_scientific = true if show uses scientific notation

-- clean = unformatted show (possibly adjusted and with inserted '.')

-- (en digits)

-- sign = '' or MINUS

-- exponent = exponent (possibly adjusted)

-- The clean and exponent fields can be used to calculate the

-- rounded absolute value, if needed.

--

-- The value implied by the arguments is found from:

-- exponent is nil; and

-- show is a string of digits (no sign), with an optional dot;

-- show = '123.4' is value 123.4, '1234' is value 1234.0;

-- or:

-- exponent is an integer indicating where dot should be;

-- show is a string of digits (no sign and no dot);

-- there is an implied dot before show;

-- show does not start with '0';

-- show = '1234', exponent = 3 is value 0.1234*10^3 = 123.4.

--

-- The formatted result:

-- * Is for an output value and is spelled if wanted and possible.

-- * Includes a Unicode minus if isnegative and not spelled.

-- * Uses a custom decimal mark, if wanted.

-- * Has digits grouped where necessary, if wanted.

-- * Uses scientific notation if requested, or for very small or large values

-- (which forces result to not be spelled).

-- * Has no more than maxsigfig significant digits

-- (same as old template and {{#expr}}).

local xhi, xlo -- these control when scientific notation (exponent) is used

if parms.opt_scientific then

xhi, xlo = 4, 2 -- default for output if input uses e-notation

elseif parms.opt_scientific_always then

xhi, xlo = 0, 0 -- always use scientific notation (experimental)

else

xhi, xlo = 10, 4 -- default

end

local sign = isnegative and MINUS or ''

local maxlen = maxsigfig

local tfrac

if type(show) == 'table' then

tfrac = show

show = tfrac.wholestr

assert(exponent == nil, 'Bug: exponent given with fraction')

end

if not tfrac and not exponent then

local integer, dot, decimals = show:match('^(%d*)(%.?)(.*)')

if integer == '0' or integer == '' then

local zeros, figs = decimals:match('^(0*)([^0]?.*)')

if #figs == 0 then

if #zeros > maxlen then

show = '0.' .. zeros:sub(1, maxlen)

end

elseif #zeros >= xlo then

show = figs

exponent = -#zeros

elseif #figs > maxlen then

show = '0.' .. zeros .. figs:sub(1, maxlen)

end

elseif #integer >= xhi then

show = integer .. decimals

exponent = #integer

else

maxlen = maxlen + #dot

if #show > maxlen then

show = show:sub(1, maxlen)

end

end

end

if exponent then

local function zeros(n)

return string.rep('0', n)

end

if #show > maxlen then

show = show:sub(1, maxlen)

end

if exponent > xhi or exponent <= -xlo or (exponent == xhi and show ~= '1' .. zeros(xhi - 1)) then

-- When xhi, xlo = 10, 4 (the default), scientific notation is used if the

-- rounded value satisfies: value >= 1e9 or value < 1e-4 (1e9 = 0.1e10),

-- except if show is '1000000000' (1e9), for example:

-- {{convert|1000000000|m|m|sigfig=10}} → 1,000,000,000 metres (1,000,000,000 m)

local significand

if #show > 1 then

significand = show:sub(1, 1) .. '.' .. show:sub(2)

else

significand = show

end

return {

clean = '.' .. show,

exponent = exponent,

sign = sign,

show = sign .. with_exponent(parms, significand, exponent-1),

is_scientific = true,

}

end

if exponent >= #show then

show = show .. zeros(exponent - #show) -- result has no dot

elseif exponent <= 0 then

show = '0.' .. zeros(-exponent) .. show

else

show = show:sub(1, exponent) .. '.' .. show:sub(exponent+1)

end

end

local formatted_show

if tfrac then

show = tostring(tfrac.value) -- to set clean in returned table

formatted_show = format_fraction(parms, 'out', isnegative, tfrac.wholestr, tfrac.numstr, tfrac.denstr, parms.opt_spell_out)

else

if isnegative and show:match('^0.?0*$') then

sign = '' -- don't show minus if result is negative but rounds to zero

end

formatted_show = sign .. with_separator(parms, show)

if parms.opt_spell_out then

formatted_show = spell_number(parms, 'out', sign .. show) or formatted_show

end

end

return {

clean = show,

sign = sign,

show = formatted_show,

is_scientific = false, -- to avoid calling __index

}

end

local function extract_fraction(parms, text, negative)

-- If text represents a fraction, return

-- value, altvalue, show, denominator

-- where

-- value is a number (value of the fraction in argument text)

-- altvalue is an alternate interpretation of any fraction for the hands

-- unit where "12.1+3/4" means 12 hands 1.75 inches

-- show is a string (formatted text for display of an input value,

-- and is spelled if wanted and possible)

-- denominator is value of the denominator in the fraction

-- Otherwise, return nil.

-- Input uses en digits and '.' decimal mark (input has been translated).

-- Output uses digits in local language and local decimal mark, if any.

------------------------------------------------------------------------

-- Originally this function accepted x+y/z where x, y, z were any valid

-- numbers, possibly with a sign. For example '1.23e+2+1.2/2.4' = 123.5,

-- and '2-3/8' = 1.625. However, such usages were found to be errors or

-- misunderstandings, so since August 2014 the following restrictions apply:

-- x (if present) is an integer or has a single digit after decimal mark

-- y and z are unsigned integers

-- e-notation is not accepted

-- The overall number can start with '+' or '-' (so '12+3/4' and '+12+3/4'

-- and '-12-3/4' are valid).

-- Any leading negative sign is removed by the caller, so only inputs

-- like the following are accepted here (may have whitespace):

-- negative = false false true (there was a leading '-')

-- text = '2/3' '+2/3' '2/3'

-- text = '1+2/3' '+1+2/3' '1-2/3'

-- text = '12.3+1/2' '+12.3+1/2' '12.3-1/2'

-- Values like '12.3+1/2' are accepted, but are intended only for use

-- with the hands unit (not worth adding code to enforce that).

------------------------------------------------------------------------

local leading_plus, prefix, numstr, slashes, denstr =

text:match('^%s*(%+?)%s*(.-)%s*(%d+)%s*(/+)%s*(%d+)%s*$')

if not leading_plus then

-- Accept a single U+2044 fraction slash because that may be pasted.

leading_plus, prefix, numstr, denstr =

text:match('^%s*(%+?)%s*(.-)%s*(%d+)%s*⁄%s*(%d+)%s*$')

slashes = '/'

end

local numerator = tonumber(numstr)

local denominator = tonumber(denstr)

if numerator == nil or denominator == nil or (negative and leading_plus ~= '') then

return nil

end

local whole, wholestr

if prefix == '' then

wholestr = ''

whole = 0

else

-- Any prefix must be like '12+' or '12-' (whole number and fraction sign);

-- '12.3+' and '12.3-' are also accepted (single digit after decimal point)

-- because '12.3+1/2 hands' is valid (12 hands 3½ inches).

local num1, num2, frac_sign = prefix:match('^(%d+)(%.?%d?)%s*([+%-])$')

if num1 == nil then return nil end

if num2 == then -- num2 must be or like '.1' but not '.' or '.12'

wholestr = num1

else

if #num2 ~= 2 then return nil end

wholestr = num1 .. num2

end

if frac_sign ~= (negative and '-' or '+') then return nil end

whole = tonumber(wholestr)

if whole == nil then return nil end

end

local value = whole + numerator / denominator

if not valid_number(value) then return nil end

local altvalue = whole + numerator / (denominator * 10)

local style = #slashes -- kludge: 1 or 2 slashes can be used to select style

if style > 2 then style = 2 end

local wikitext = format_fraction(parms, 'in', negative, leading_plus .. wholestr, numstr, denstr, parms.opt_spell_in, style)

return value, altvalue, wikitext, denominator

end

local function extract_number(parms, text, another, no_fraction)

-- Return true, info if can extract a number from text,

-- where info is a table with the result,

-- or return false, t where t is an error message table.

-- Input can use en digits or digits in local language and can

-- have references at the end. Accepting references is intended

-- for use in infoboxes with a field for a value passed to convert.

-- Parameter another = true if the expected value is not the first.

-- Before processing, the input text is cleaned:

-- * Any thousand separators (valid or not) are removed.

-- * Any sign is replaced with '-' (if negative) or '' (otherwise).

-- That replaces Unicode minus with '-'.

-- If successful, the returned info table contains named fields:

-- value = a valid number

-- altvalue = a valid number, usually same as value but different

-- if fraction used (for hands unit)

-- singular = true if value is 1 or -1 (to use singular form of units)

-- clean = cleaned text with any separators and sign removed

-- (en digits and '.' decimal mark)

-- show = text formatted for output, possibly with ref strip markers

-- (digits in local language and custom decimal mark)

-- The resulting show:

-- * Is for an input value and is spelled if wanted and possible.

-- * Has a rounded value, if wanted.

-- * Has digits grouped where necessary, if wanted.

-- * If negative, a Unicode minus is used; otherwise the sign is

-- '+' (if the input text used '+'), or is '' (if no sign in input).

text = strip(text or '')

local reference

local pos = text:find('\127', 1, true)

if pos then

local before = text:sub(1, pos - 1)

local remainder = text:sub(pos)

local refs = {}

while #remainder > 0 do

local ref, spaces

ref, spaces, remainder = remainder:match('^(\127[^\127]*UNIQ[^\127]*%-ref[^\127]*\127)(%s*)(.*)')

if ref then

table.insert(refs, ref)

else

refs = {}

break

end

end

if #refs > 0 then

text = strip(before)

reference = table.concat(refs)

end

end

local clean = to_en(text, parms)

if clean == '' then

return false, { another and 'cvt_no_num2' or 'cvt_no_num' }

end

local isnegative, propersign = false, '' -- most common case

local singular, show, denominator

local value = tonumber(clean)

local altvalue

if value then

local sign = clean:sub(1, 1)

if sign == '+' or sign == '-' then

propersign = (sign == '+') and '+' or MINUS

clean = clean:sub(2)

end

if value < 0 then

isnegative = true

value = -value

end

else

local valstr

for _, prefix in ipairs({ '-', MINUS, '−' }) do

-- Including '-' sets isnegative in case input is a fraction like '-2-3/4'.

local plen = #prefix

if clean:sub(1, plen) == prefix then

valstr = clean:sub(plen + 1)

if valstr:match('^%s') then -- "- 1" is invalid but "-1 - 1/2" is ok

return false, { 'cvt_bad_num', text }

end

break

end

end

if valstr then

isnegative = true

propersign = MINUS

clean = valstr

value = tonumber(clean)

end

if value == nil then

if not no_fraction then

value, altvalue, show, denominator = extract_fraction(parms, clean, isnegative)

end

if value == nil then

return false, { 'cvt_bad_num', text }

end

if value <= 1 then

singular = true -- for example, "½ mile" or "one half mile" (singular unit)

end

end

end

if not valid_number(value) then -- for example, "1e310" may overflow

return false, { 'cvt_invalid_num' }

end

if show == nil then

-- clean is a non-empty string with no spaces, and does not represent a fraction,

-- and value = tonumber(clean) is a number >= 0.

-- If the input uses e-notation, show will be displayed using a power of ten, but

-- we use the number as given so it might not be normalized scientific notation.

-- The input value is spelled if specified so any e-notation is ignored;

-- that allows input like 2e6 to be spelled as "two million" which works

-- because the spell module converts '2e6' to '2000000' before spelling.

local function rounded(value, default, exponent)

local precision = parms.opt_ri

if precision then

local fmt = '%.' .. format('%d', precision) .. 'f'

local result = fmt:format(tonumber(value) + 2e-14) -- fudge for some common cases of bad rounding

if not exponent then

singular = (tonumber(result) == 1)

end

return result

end

return default

end

singular = (value == 1)

local scientific

local significand, exponent = clean:match('^([%d.]+)[Ee]([+%-]?%d+)')

if significand then

show = with_exponent(parms, rounded(significand, significand, exponent), exponent)

scientific = true

else

show = with_separator(parms, rounded(value, clean))

end

show = propersign .. show

if parms.opt_spell_in then

show = spell_number(parms, 'in', propersign .. rounded(value, clean)) or show

scientific = false

end

if scientific then

parms.opt_scientific = true

end

end

if isnegative and (value ~= 0) then

value = -value

altvalue = -(altvalue or value)

end

return true, {

value = value,

altvalue = altvalue or value,

singular = singular,

clean = clean,

show = show .. (reference or ''),

denominator = denominator,

}

end

local function get_number(text)

-- Return v, f where:

-- v = nil (text is not a number)

-- or

-- v = value of text (text is a number)

-- f = true if value is an integer

-- Input can use en digits or digits in local language or separators,

-- but no Unicode minus, and no fraction.

if text then

local number = tonumber(to_en(text))

if number then

local _, fracpart = math.modf(number)

return number, (fracpart == 0)

end

end

end

local function gcd(a, b)

-- Return the greatest common denominator for the given values,

-- which are known to be positive integers.

if a > b then

a, b = b, a

end

if a <= 0 then

return b

end

local r = b % a

if r <= 0 then

return a

end

if r == 1 then

return 1

end

return gcd(r, a)

end

local function fraction_table(value, denominator)

-- Return value as a string or a table:

-- * If result is a string, there is no fraction, and the result

-- is value formatted as a string of en digits.

-- * If result is a table, it represents a fraction with named fields:

-- wholestr, numstr, denstr (strings of en digits for integer, numerator, denominator).

-- The result is rounded to the nearest multiple of (1/denominator).

-- If the multiple is zero, no fraction is included.

-- No fraction is included if value is very large as the fraction would

-- be unhelpful, particularly if scientific notation is required.

-- Input value is a non-negative number.

-- Input denominator is a positive integer for the desired fraction.

if value <= 0 then

return '0'

end

if denominator <= 0 or value > 1e8 then

return format('%.2f', value)

end

local integer, decimals = math.modf(value)

local numerator = floor((decimals * denominator) +

0.5 + 2e-14) -- add fudge for some common cases of bad rounding

if numerator >= denominator then

integer = integer + 1

numerator = 0

end

local wholestr = tostring(integer)

if numerator > 0 then

local div = gcd(numerator, denominator)

if div > 1 then

numerator = numerator / div

denominator = denominator / div

end

return {

wholestr = (integer > 0) and wholestr or '',

numstr = tostring(numerator),

denstr = tostring(denominator),

value = value,

}

end

return wholestr

end

local function preunits(count, preunit1, preunit2)

-- If count is 1:

-- ignore preunit2

-- return p1

-- else:

-- preunit1 is used for preunit2 if the latter is empty

-- return p1, p2

-- where:

-- p1 is text to insert before the input unit

-- p2 is text to insert before the output unit

-- p1 or p2 may be nil to mean "no preunit"

-- Using '+' gives output like "5+ feet" (no space before, but space after).

local function withspace(text, wantboth)

-- Return text with space before and, if wantboth, after.

-- However, no space is added if there is a space or ' ' or '-'

-- at that position ('-' is for adjectival text).

-- There is also no space if text starts with '&'

-- (e.g. '°' would display a degree symbol with no preceding space).

local char = text:sub(1, 1)

if char == '&' then

return text -- an html entity can be used to specify the exact display

end

if not (char == ' ' or char == '-' or char == '+') then

text = ' ' .. text

end

if wantboth then

char = text:sub(-1, -1)

if not (char == ' ' or char == '-' or text:sub(-6, -1) == ' ') then

text = text .. ' '

end

end

return text

end

local PLUS = '+ '

preunit1 = preunit1 or ''

local trim1 = strip(preunit1)

if count == 1 then

if trim1 == '' then

return nil

end

if trim1 == '+' then

return PLUS

end

return withspace(preunit1, true)

end

preunit1 = withspace(preunit1)

preunit2 = preunit2 or ''

local trim2 = strip(preunit2)

if trim1 == '+' then

if trim2 == '' or trim2 == '+' then

return PLUS, PLUS

end

preunit1 = PLUS

end

if trim2 == '' then

if trim1 == '' then

return nil, nil

end

preunit2 = preunit1

elseif trim2 == '+' then

preunit2 = PLUS

elseif trim2 == ' ' then -- trick to make preunit2 empty

preunit2 = nil

else

preunit2 = withspace(preunit2)

end

return preunit1, preunit2

end

local function range_text(range, want_name, parms, before, after, inout, options)

-- Return before .. rtext .. after

-- where rtext is the text that separates two values in a range.

local rtext, adj_text, exception

options = options or {}

if type(range) == 'table' then

-- Table must specify range text for ('off' and 'on') or ('input' and 'output'),

-- and may specify range text for 'adj=on',

-- and may specify exception = true.

rtext = range[want_name and 'off' or 'on'] or

range[((inout == 'in') == (parms.opt_flip == true)) and 'output' or 'input']

adj_text = range['adj']

exception = range['exception']

else

rtext = range

end

if parms.opt_adjectival then

if want_name or (exception and parms.abbr_org == 'on') then

rtext = adj_text or rtext:gsub(' ', '-'):gsub(' ', '-')

end

end

if rtext == '–' and (options.spaced or after:sub(1, #MINUS) == MINUS) then

rtext = ' – '

end

return before .. rtext .. after

end

local function get_composite(parms, iparm, in_unit_table)

-- Look for a composite input unit. For example, {{convert|1|yd|2|ft|3|in}}

-- would result in a call to this function with

-- iparm = 3 (parms[iparm] = "2", just after the first unit)

-- in_unit_table = (unit table for "yd"; contains value 1 for number of yards)

-- Return true, iparm, unit where

-- iparm = index just after the composite units (7 in above example)

-- unit = composite unit table holding all input units,

-- or return true if no composite unit is present in parms,

-- or return false, t where t is an error message table.

local default, subinfo

local composite_units, count = { in_unit_table }, 1

local fixups = {}

local total = in_unit_table.valinfo[1].value

local subunit = in_unit_table

while subunit.subdivs do -- subdivs is nil or a table of allowed subdivisions

local subcode = strip(parms[iparm+1])

local subdiv = subunit.subdivs[subcode] or subunit.subdivs[(all_units[subcode] or {}).target]

if not subdiv then

break

end

local success

success, subunit = lookup(parms, subcode, 'no_combination')

if not success then return false, subunit end -- should never occur

success, subinfo = extract_number(parms, parms[iparm])

if not success then return false, subinfo end

iparm = iparm + 2

subunit.inout = 'in'

subunit.valinfo = { subinfo }

-- Recalculate total as a number of subdivisions.

-- subdiv[1] = number of subdivisions per previous unit (integer > 1).

total = total * subdiv[1] + subinfo.value

if not default then -- set by the first subdiv with a default defined

default = subdiv.default

end

count = count + 1

composite_units[count] = subunit

if subdiv.unit or subdiv.name then

fixups[count] = { unit = subdiv.unit, name = subdiv.name, valinfo = subunit.valinfo }

end

end

if count == 1 then

return true -- no error and no composite unit

end

for i, fixup in pairs(fixups) do

local unit = fixup.unit

local name = fixup.name

if not unit or (count > 2 and name) then

composite_units[i].fixed_name = name

else

local success, alternate = lookup(parms, unit, 'no_combination')

if not success then return false, alternate end -- should never occur

alternate.inout = 'in'

alternate.valinfo = fixup.valinfo

composite_units[i] = alternate

end

end

return true, iparm, {

utype = in_unit_table.utype,

scale = subunit.scale, -- scale of last (least significant) unit

valinfo = { { value = total, clean = subinfo.clean, denominator = subinfo.denominator } },

composite = composite_units,

default = default or in_unit_table.default

}

end

local function translate_parms(parms, kv_pairs)

-- Update fields in parms by translating each key:value in kv_pairs to terms

-- used by this module (may involve translating from local language to English).

-- Also, checks are performed which may display warnings, if enabled.

-- Return true if successful or return false, t where t is an error message table.

currency_text = nil -- local testing can hold module in memory; must clear globals

if kv_pairs.adj and kv_pairs.sing then

-- For enwiki (before translation), warn if attempt to use adj and sing

-- as the latter is a deprecated alias for the former.

if kv_pairs.adj ~= kv_pairs.sing and kv_pairs.sing ~= '' then

add_warning(parms, 1, 'cvt_unknown_option', 'sing=' .. kv_pairs.sing)

end

kv_pairs.sing = nil

end

kv_pairs.comma = kv_pairs.comma or config.comma -- for plwiki who want default comma=5

for loc_name, loc_value in pairs(kv_pairs) do

local en_name = text_code.en_option_name[loc_name]

if en_name then

local en_value = text_code.en_option_value[en_name]

if en_value == 'INTEGER' then -- altitude_ft, altitude_m, frac, sigfig

en_value = nil

if loc_value == '' then

add_warning(parms, 2, 'cvt_empty_option', loc_name)

else

local minimum

local number, is_integer = get_number(loc_value)

if en_name == 'sigfig' then

minimum = 1

elseif en_name == 'frac' then

minimum = 2

if number and number < 0 then

parms.opt_fraction_horizontal = true

number = -number

end

else

minimum = -1e6

end

if number and is_integer and number >= minimum then

en_value = number

else

local m

if en_name == 'frac' then

m = 'cvt_bad_frac'

elseif en_name == 'sigfig' then

m = 'cvt_bad_sigfig'

else

m = 'cvt_bad_altitude'

end

add_warning(parms, 1, m, loc_name .. '=' .. loc_value)

end

end

elseif en_value == 'TEXT' then -- $, input, qid, qual, stylein, styleout, tracking

en_value = loc_value ~= '' and loc_value or nil -- accept non-empty user text with no validation

if not en_value and (en_name == '$' or en_name == 'qid' or en_name == 'qual') then

add_warning(parms, 2, 'cvt_empty_option', loc_name)

elseif en_name == '$' then

-- Value should be a single character like "€" for the euro currency symbol, but anything is accepted.

currency_text = (loc_value == 'euro') and '€' or loc_value

elseif en_name == 'input' then

-- May have something like {{convert|input=}} (empty input) if source is an infobox

-- with optional fields. In that case, want to output nothing rather than an error.

parms.input_text = loc_value -- keep input because parms.input is nil if loc_value == ''

end

else

en_value = en_value[loc_value]

if en_value and en_value:sub(-1) == '?' then

en_value = en_value:sub(1, -2)

add_warning(parms, -1, 'cvt_deprecated', loc_name .. '=' .. loc_value)

end

if en_value == nil then

if loc_value == '' then

add_warning(parms, 2, 'cvt_empty_option', loc_name)

else

add_warning(parms, 1, 'cvt_unknown_option', loc_name .. '=' .. loc_value)

end

elseif en_value == '' then

en_value = nil -- an ignored option like adj=off

elseif type(en_value) == 'string' and en_value:sub(1, 4) == 'opt_' then

for _, v in ipairs(split(en_value, ',')) do

local lhs, rhs = v:match('^(.-)=(.+)$')

if rhs then

parms[lhs] = tonumber(rhs) or rhs

else

parms[v] = true

end

end

en_value = nil

end

end

parms[en_name] = en_value

else

add_warning(parms, 1, 'cvt_unknown_option', loc_name .. '=' .. loc_value)

end

end

local abbr_entered = parms.abbr

local cfg_abbr = config.abbr

if cfg_abbr then

-- Don't warn if invalid because every convert would show that warning.

if cfg_abbr == 'on always' then

parms.abbr = 'on'

elseif cfg_abbr == 'off always' then

parms.abbr = 'off'

elseif parms.abbr == nil then

if cfg_abbr == 'on default' then

parms.abbr = 'on'

elseif cfg_abbr == 'off default' then

parms.abbr = 'off'

end

end

end

if parms.abbr then

if parms.abbr == 'unit' then

parms.abbr = 'on'

parms.number_word = true

end

parms.abbr_org = parms.abbr -- original abbr, before any flip

elseif parms.opt_hand_hh then

parms.abbr_org = 'on'

parms.abbr = 'on'

else

parms.abbr = 'out' -- default is to abbreviate output only (use symbol, not name)

end

if parms.opt_order_out then

-- Disable options that do not work in a useful way with order=out.

parms.opt_flip = nil -- override adj=flip

parms.opt_spell_in = nil

parms.opt_spell_out = nil

parms.opt_spell_upper = nil

end

if parms.opt_spell_out and not abbr_entered then

parms.abbr = 'off' -- should show unit name when spelling the output value

end

if parms.opt_flip then

local function swap_in_out(option)

local value = parms[option]

if value == 'in' then

parms[option] = 'out'

elseif value == 'out' then

parms[option] = 'in'

end

end

swap_in_out('abbr')

swap_in_out('lk')

if parms.opt_spell_in and not parms.opt_spell_out then

-- For simplicity, and because it does not appear to be needed,

-- user cannot set an option to spell the output only.

parms.opt_spell_in = nil

parms.opt_spell_out = true

end

end

if parms.opt_spell_upper then

parms.spell_upper = parms.opt_flip and 'out' or 'in'

end

if parms.opt_table or parms.opt_tablecen then

if abbr_entered == nil and parms.lk == nil then

parms.opt_values = true

end

parms.table_align = parms.opt_table and 'right' or 'center'

end

if parms.table_align or parms.opt_sortable_on then

parms.need_table_or_sort = true

end

local disp_joins = text_code.disp_joins

local default_joins = disp_joins['b']

parms.join_between = default_joins[3] or '; '

local disp = parms.disp

if disp == nil then -- special case for the most common setting

parms.joins = default_joins

elseif disp == 'x' then

-- Later, parms.joins is set from the input parameters.

else

-- Old template does this.

local abbr = parms.abbr

if disp == 'slash' then

if abbr_entered == nil then

disp = 'slash-nbsp'

elseif abbr == 'in' or abbr == 'out' then

disp = 'slash-sp'

else

disp = 'slash-nosp'

end

elseif disp == 'sqbr' then

if abbr == 'on' then

disp = 'sqbr-nbsp'

else

disp = 'sqbr-sp'

end

end

parms.joins = disp_joins[disp] or default_joins

parms.join_between = parms.joins[3] or parms.join_between

parms.wantname = parms.joins.wantname

end

if (en_default and not parms.opt_lang_local and (parms[1] or ''):find('%d')) or parms.opt_lang_en then

from_en_table = nil

end

if en_default and from_en_table then

-- For hiwiki: localized symbol/name is defined with the US symbol/name field,

-- and is used if output uses localized numbers.

parms.opt_sp_us = true

end

return true

end

local function get_values(parms)

-- If successful, update parms and return true, v, i where

-- v = table of input values

-- i = index to next entry in parms after those processed here

-- or return false, t where t is an error message table.

local valinfo = collection() -- numbered table of input values

local range = collection() -- numbered table of range items (having, for example, 2 range items requires 3 input values)

local had_nocomma -- true if removed "nocomma" kludge from second parameter (like "tonocomma")

local parm2 = strip(parms[2])

if parm2 and parm2:sub(-7, -1) == 'nocomma' then

parms[2] = strip(parm2:sub(1, -8))

parms.opt_nocomma = true

had_nocomma = true

end

local function extractor(i)

-- If the parameter is not a value, try unpacking it as a range ("1-23" for "1 to 23").

-- However, "-1-2/3" is a negative fraction (-1⅔), so it must be extracted first.

-- Do not unpack a parameter if it is like "3-1/2" which is sometimes incorrectly

-- used instead of "3+1/2" (and which should not be interpreted as "3 to ½").

-- Unpacked items are inserted into the parms table.

-- The tail recursion allows combinations like "1x2 to 3x4".

local valstr = strip(parms[i]) -- trim so any '-' as a negative sign will be at start

local success, result = extract_number(parms, valstr, i > 1)

if not success and valstr and i < 20 then -- check i to limit abuse

local lhs, sep, rhs = valstr:match('^(%S+)%s+(%S+)%s+(%S.*)')

if lhs and not (sep == '-' and rhs:match('/')) then

if sep:find('%d') then

return success, result -- to reject {{convert|1 234 567|m}} with a decent message (en only)

end

parms[i] = rhs

table.insert(parms, i, sep)

table.insert(parms, i, lhs)

return extractor(i)

end

if not valstr:match('%-.*/') then

for _, sep in ipairs(text_code.ranges.words) do

local start, stop = valstr:find(sep, 2, true) -- start at 2 to skip any negative sign for range '-'

if start then

parms[i] = valstr:sub(stop + 1)

table.insert(parms, i, sep)

table.insert(parms, i, valstr:sub(1, start - 1))

return extractor(i)

end

end

end

end

return success, result

end

local i = 1

local is_change

while true do

local success, info = extractor(i) -- need to set parms.opt_nocomma before calling this

if not success then return false, info end

i = i + 1

if is_change then

info.is_change = true -- value is after "±" and so is a change (significant for range like {{convert|5|±|5|°C}})

is_change = nil

end

valinfo:add(info)

local range_item = get_range(strip(parms[i]))

if not range_item then

break

end

i = i + 1

range:add(range_item)

if type(range_item) == 'table' then

-- For range "x", if append unit to some values, append it to all.

parms.in_range_x = parms.in_range_x or range_item.in_range_x

parms.out_range_x = parms.out_range_x or range_item.out_range_x

parms.abbr_range_x = parms.abbr_range_x or range_item.abbr_range_x

is_change = range_item.is_range_change

end

end

if range.n > 0 then

if range.n > 30 then -- limit abuse, although 4 is a more likely upper limit

return false, { 'cvt_invalid_num' } -- misleading message but it will do

end

parms.range = range

elseif had_nocomma then

return false, { 'cvt_unknown', parm2 }

end

return true, valinfo, i

end

local function simple_get_values(parms)

-- If input is like "{{convert|valid_value|valid_unit|...}}",

-- return true, i, in_unit, in_unit_table

-- i = index in parms of what follows valid_unit, if anything.

-- The valid_value is not negative and does not use a fraction, and

-- no options requiring further processing of the input are used.

-- Otherwise, return nothing or return false, parm1 for caller to interpret.

-- Testing shows this function is successful for 96% of converts in articles,

-- and that on average it speeds up converts by 8%.

local clean = to_en(strip(parms[1] or ''), parms)

if parms.opt_ri or parms.opt_spell_in or #clean > 10 or not clean:match('^[0-9.]+$') then

return false, clean

end

local value = tonumber(clean)

if not value then return end

local info = {

value = value,

altvalue = value,

singular = (value == 1),

clean = clean,

show = with_separator(parms, clean),

}

local in_unit = strip(parms[2])

local success, in_unit_table = lookup(parms, in_unit, 'no_combination')

if not success then return end

in_unit_table.valinfo = { info }

return true, 3, in_unit, in_unit_table

end

local function wikidata_call(parms, operation, ...)

-- Return true, s where s is the result of a Wikidata operation,

-- or return false, t where t is an error message table.

local function worker(...)

wikidata_code = wikidata_code or require(wikidata_module)

wikidata_data = wikidata_data or mw.loadData(wikidata_data_module)

return wikidata_code[operation](wikidata_data, ...)

end

local success, status, result = pcall(worker, ...)

if success then

return status, result

end

if parms.opt_sortable_debug then

-- Use debug=yes to crash if an error while accessing Wikidata.

error('Error accessing Wikidata: ' .. status, 0)

end

return false, { 'cvt_wd_fail' }

end

local function get_parms(parms, args)

-- If successful, update parms and return true, unit where

-- parms is a table of all arguments passed to the template

-- converted to named arguments, and

-- unit is the input unit table;

-- or return false, t where t is an error message table.

-- For special processing (not a convert), can also return

-- true, wikitext where wikitext is the final result.

-- The returned input unit table may be for a fake unit using the specified

-- unit code as the symbol and name, and with bad_mcode = message code table.

-- MediaWiki removes leading and trailing whitespace from the values of

-- named arguments. However, the values of numbered arguments include any

-- whitespace entered in the template, and whitespace is used by some

-- parameters (example: the numbered parameters associated with "disp=x").

local kv_pairs = {} -- table of input key:value pairs where key is a name; needed because cannot iterate parms and add new fields to it

for k, v in pairs(args) do

if type(k) == 'number' or k == 'test' then -- parameter "test" is reserved for testing and is not translated

parms[k] = v

else

kv_pairs[k] = v

end

end

if parms.test == 'wikidata' then

local ulookup = function (ucode)

-- Use empty table for parms so it does not accumulate results when used repeatedly.

return lookup({}, ucode, 'no_combination')

end

return wikidata_call(parms, '_listunits', ulookup)

end

local success, msg = translate_parms(parms, kv_pairs)

if not success then return false, msg end

if parms.input then

success, msg = wikidata_call(parms, '_adjustparameters', parms, 1)

if not success then return false, msg end

end

local success, i, in_unit, in_unit_table = simple_get_values(parms)

if not success then

if type(i) == 'string' and i:match('^NNN+$') then

-- Some infoboxes have examples like {{convert|NNN|m}} (3 or more "N").

-- Output an empty string for these.

return false, { 'cvt_no_output' }

end

local valinfo

success, valinfo, i = get_values(parms)

if not success then return false, valinfo end

in_unit = strip(parms[i])

i = i + 1

success, in_unit_table = lookup(parms, in_unit, 'no_combination')

if not success then

in_unit = in_unit or ''

if parms.opt_ignore_error then -- display given unit code with no error (for use with {{val}})

in_unit_table = '' -- suppress error message and prevent processing of output unit

end

in_unit_table = setmetatable({

symbol = in_unit, name2 = in_unit, utype = in_unit,

scale = 1, default = , defkey = , linkey = '',

bad_mcode = in_unit_table }, unit_mt)

end

in_unit_table.valinfo = valinfo

end

if parms.test == 'msg' then

-- Am testing the messages produced when no output unit is specified, and

-- the input unit has a missing or invalid default.

-- Set two units for testing that.

-- LATER: Remove this code.

if in_unit == 'chain' then

in_unit_table.default = nil -- no default

elseif in_unit == 'rd' then

in_unit_table.default = "ft!X!m" -- an invalid expression

end

end

in_unit_table.inout = 'in' -- this is an input unit

if not parms.range then

local success, inext, composite_unit = get_composite(parms, i, in_unit_table)

if not success then return false, inext end

if composite_unit then

in_unit_table = composite_unit

i = inext

end

end

if in_unit_table.builtin == 'mach' then

-- As with old template, a number following Mach as the input unit is the altitude.

-- That is deprecated: should use altitude_ft=NUMBER or altitude_m=NUMBER.

local success, info

success = tonumber(parms[i]) -- this will often work and will give correct result for values like 2e4 without forcing output scientific notation

if success then

info = { value = success }

else

success, info = extract_number(parms, parms[i], false, true)

end

if success then

i = i + 1

in_unit_table.altitude = info.value

end

end

local word = strip(parms[i])

i = i + 1

local precision, is_bad_precision

local function set_precision(text)

local number, is_integer = get_number(text)

if number then

if is_integer then

precision = number

else

precision = text

is_bad_precision = true

end

return true -- text was used for precision, good or bad

end

end

if word and not set_precision(word) then

parms.out_unit = parms.out_unit or word

if set_precision(strip(parms[i])) then

i = i + 1

end

end

if parms.opt_adj_mid then

word = parms[i]

i = i + 1

if word then -- mid-text words

if word:sub(1, 1) == '-' then

parms.mid = word

else

parms.mid = ' ' .. word

end

end

end

if parms.opt_one_preunit then

parms[parms.opt_flip and 'preunit2' or 'preunit1'] = preunits(1, parms[i])

i = i + 1

end

if parms.disp == 'x' then

-- Following is reasonably compatible with the old template.

local first = parms[i] or ''

local second = parms[i+1] or ''

i = i + 2

if strip(first) == '' then -- user can enter ' ' rather than ' ' to avoid the default

first = ' [ ' .. first

second = ' ]' .. second

end

parms.joins = { first, second }

elseif parms.opt_two_preunits then

local p1, p2 = preunits(2, parms[i], parms[i+1])

i = i + 2

if parms.preunit1 then

-- To simplify documentation, allow unlikely use of adj=pre with disp=preunit

-- (however, an output unit must be specified with adj=pre and with disp=preunit).

parms.preunit1 = parms.preunit1 .. p1

parms.preunit2 = p2

else

parms.preunit1, parms.preunit2 = p1, p2

end

end

if precision == nil then

if set_precision(strip(parms[i])) then

i = i + 1

end

end

if is_bad_precision then

add_warning(parms, 1, 'cvt_bad_prec', precision)

else

parms.precision = precision

end

for j = i, i + 3 do

local parm = parms[j] -- warn if find a non-empty extraneous parameter

if parm and parm:match('%S') then

add_warning(parms, 1, 'cvt_unknown_option', parm)

break

end

end

return true, in_unit_table

end

local function record_default_precision(parms, out_current, precision)

-- If necessary, adjust parameters and return a possibly adjusted precision.

-- When converting a range of values where a default precision is required,

-- that default is calculated for each value because the result sometimes

-- depends on the precise input and output values. This function may cause

-- the entire convert process to be repeated in order to ensure that the

-- same default precision is used for each individual convert.

-- If that were not done, a range like 1000 to 1000.4 may give poor results

-- because the first output could be heavily rounded, while the second is not.

-- For range 1000.4 to 1000, this function can give the second convert the

-- same default precision that was used for the first.

if not parms.opt_round_each then

local maxdef = out_current.max_default_precision

if maxdef then

if maxdef < precision then

parms.do_convert_again = true

out_current.max_default_precision = precision

else

precision = out_current.max_default_precision

end

else

out_current.max_default_precision = precision

end

end

return precision

end

local function default_precision(parms, invalue, inclean, denominator, outvalue, in_current, out_current, extra)

-- Return a default value for precision (an integer like 2, 0, -2).

-- If denominator is not nil, it is the value of the denominator in inclean.

-- Code follows procedures used in old template.

local fudge = 1e-14 -- {{Order of magnitude}} adds this, so we do too

local prec, minprec, adjust

local subunit_ignore_trailing_zero

local subunit_more_precision -- kludge for "in" used in input like "|2|ft|6|in"

local composite = in_current.composite

if composite then

subunit_ignore_trailing_zero = true -- input "|2|st|10|lb" has precision 0, not -1

if composite[#composite].exception == 'subunit_more_precision' then

subunit_more_precision = true -- do not use standard precision with input like "|2|ft|6|in"

end

end

if denominator and denominator > 0 then

prec = math.max(log10(denominator), 1)

else

-- Count digits after decimal mark, handling cases like '12.345e6'.

local exponent

local integer, dot, decimals, expstr = inclean:match('^(%d*)(%.?)(%d*)(.*)')

local e = expstr:sub(1, 1)

if e == 'e' or e == 'E' then

exponent = tonumber(expstr:sub(2))

end

if dot == '' then

prec = subunit_ignore_trailing_zero and 0 or -integer:match('0*$'):len()

else

prec = #decimals

end

if exponent then

-- So '1230' and '1.23e3' both give prec = -1, and '0.00123' and '1.23e-3' give 5.

prec = prec - exponent

end

end

if in_current.istemperature and out_current.istemperature then

-- Converting between common temperatures (°C, °F, °R, K); not keVT.

-- Kelvin value can be almost zero, or small but negative due to precision problems.

-- Also, an input value like -300 C (below absolute zero) gives negative kelvins.

-- Calculate minimum precision from absolute value.

adjust = 0

local kelvin = abs((invalue - in_current.offset) * in_current.scale)

if kelvin < 1e-8 then -- assume nonzero due to input or calculation precision problem

minprec = 2

else

minprec = 2 - floor(log10(kelvin) + fudge) -- 3 sigfigs in kelvin

end

else

if invalue == 0 or outvalue <= 0 then

-- We are never called with a negative outvalue, but it might be zero.

-- This is special-cased to avoid calculation exceptions.

return record_default_precision(parms, out_current, 0)

end

if out_current.exception == 'integer_more_precision' and floor(invalue) == invalue then

-- With certain output units that sometimes give poor results

-- with default rounding, use more precision when the input

-- value is equal to an integer. An example of a poor result

-- is when input 50 gives a smaller output than input 49.5.

-- Experiment shows this helps, but it does not eliminate all

-- surprises because it is not clear whether "50" should be

-- interpreted as "from 45 to 55" or "from 49.5 to 50.5".

adjust = -log10(in_current.scale)

elseif subunit_more_precision then

-- Conversion like "{{convert|6|ft|1|in|cm}}" (where subunit is "in")

-- has a non-standard adjust value, to give more output precision.

adjust = log10(out_current.scale) + 2

else

adjust = log10(abs(invalue / outvalue))

end

adjust = adjust + log10(2)

-- Ensure that the output has at least two significant figures.

minprec = 1 - floor(log10(outvalue) + fudge)

end

if extra then

adjust = extra.adjust or adjust

minprec = extra.minprec or minprec

end

return record_default_precision(parms, out_current, math.max(floor(prec + adjust), minprec))

end

local function convert(parms, invalue, info, in_current, out_current)

-- Convert given input value from one unit to another.

-- Return output_value (a number) if a simple convert, or

-- return f, t where

-- f = true, t = table of information with results, or

-- f = false, t = error message table.

local inscale = in_current.scale

local outscale = out_current.scale

if not in_current.iscomplex and not out_current.iscomplex then

return invalue * (inscale / outscale) -- minimize overhead for most common case

end

if in_current.invert or out_current.invert then

-- Inverted units, such as inverse length, inverse time, or

-- fuel efficiency. Built-in units do not have invert set.

if (in_current.invert or 1) * (out_current.invert or 1) < 0 then

return 1 / (invalue * inscale * outscale)

end

return invalue * (inscale / outscale)

elseif in_current.offset then

-- Temperature (there are no built-ins for this type of unit).

if info.is_change then

return invalue * (inscale / outscale)

end

return (invalue - in_current.offset) * (inscale / outscale) + out_current.offset

else

-- Built-in unit.

local in_builtin = in_current.builtin

local out_builtin = out_current.builtin

if in_builtin and out_builtin then

if in_builtin == out_builtin then

return invalue

end

-- There are no cases (yet) where need to convert from one

-- built-in unit to another, so this should never occur.

return false, { 'cvt_bug_convert' }

end

if in_builtin == 'mach' or out_builtin == 'mach' then

-- Should check that only one altitude is given but am planning to remove

-- in_current.altitude (which can only occur when Mach is the input unit),

-- and out_current.altitude cannot occur.

local alt = parms.altitude_ft or in_current.altitude

if not alt and parms.altitude_m then

alt = parms.altitude_m / 0.3048 -- 1 ft = 0.3048 m

end

local spd = speed_of_sound(alt)

if in_builtin == 'mach' then

inscale = spd

return invalue * (inscale / outscale)

end

outscale = spd

local adjust = 0.1 / inscale

return true, {

outvalue = invalue * (inscale / outscale),

adjust = log10(adjust) + log10(2),

}

elseif in_builtin == 'hand' then

-- 1 hand = 4 inches; 1.2 hands = 6 inches.

-- Decimals of a hand are only defined for the first digit, and

-- the first fractional digit should be a number of inches (1, 2 or 3).

-- However, this code interprets the entire fractional part as the number

-- of inches / 10 (so 1.75 inches would be 0.175 hands).

-- A value like 12.3 hands is exactly 12*4 + 3 inches; base default precision on that.

local integer, fracpart = math.modf(invalue)

local inch_value = 4 * integer + 10 * fracpart -- equivalent number of inches

local factor = inscale / outscale

if factor == 4 then

-- Am converting to inches: show exact result, and use "inches" not "in" by default.

if parms.abbr_org == nil then

out_current.usename = true

end

local show = format('%g', abs(inch_value)) -- show and clean are unsigned

if not show:find('e', 1, true) then

return true, {

invalue = inch_value,

outvalue = inch_value,

clean = show,

show = show,

}

end

end

local outvalue = (integer + 2.5 * fracpart) * factor

local fracstr = info.clean:match('%.(.*)') or ''

local fmt

if fracstr == '' then

fmt = '%.0f'

else

fmt = '%.' .. format('%d', #fracstr - 1) .. 'f'

end

return true, {

invalue = inch_value,

clean = format(fmt, inch_value),

outvalue = outvalue,

minprec = 0,

}

end

end

return false, { 'cvt_bug_convert' } -- should never occur

end

local function user_style(parms, i)

-- Return text for a user-specified style for a table cell, or '' if none,

-- given i = 1 (input style) or 2 (output style).

local style = parms[(i == 1) and 'stylein' or 'styleout']

if style then

style = style:gsub('"', '')

if style ~= '' then

if style:sub(-1) ~= ';' then

style = style .. ';'

end

return style

end

end

return ''

end

local function make_table_or_sort(parms, invalue, info, in_current, scaled_top)

-- Set options to handle output for a table or a sort key, or both.

-- The text sort key is based on the value resulting from converting

-- the input to a fake base unit with scale = 1, and other properties

-- required for a conversion derived from the input unit.

-- For other modules, return the sort key in a hidden span element, and

-- the scaled value used to generate the sort key.

-- If scaled_top is set, it is the scaled value of the numerator of a per unit

-- to be combined with this unit (the denominator) to make the sort key.

-- Scaling only works with units that convert with a factor (not temperature).

local sortkey, scaled_value

if parms.opt_sortable_on then

local base = { -- a fake unit with enough fields for a valid convert

scale = 1,

invert = in_current.invert and 1,

iscomplex = in_current.iscomplex,

offset = in_current.offset and 0,

}

local outvalue, extra = convert(parms, invalue, info, in_current, base)

if extra then

outvalue = extra.outvalue

end

if in_current.istemperature then

-- Have converted to kelvin; assume numbers close to zero have a

-- rounding error and should be zero.

if abs(outvalue) < 1e-12 then

outvalue = 0

end

end

if scaled_top and outvalue ~= 0 then

outvalue = scaled_top / outvalue

end

scaled_value = outvalue

if not valid_number(outvalue) then

if outvalue < 0 then

sortkey = '1000000000000000000'

else

sortkey = '9000000000000000000'

end

elseif outvalue == 0 then

sortkey = '5000000000000000000'

else

local mag = floor(log10(abs(outvalue)) + 1e-14)

local prefix

if outvalue > 0 then

prefix = 7000 + mag

else

prefix = 2999 - mag

outvalue = outvalue + 10^(mag+1)

end

sortkey = format('%d', prefix) .. format('%015.0f', floor(outvalue * 10^(14-mag)))

end

end

local sortspan

if sortkey and not parms.table_align then

sortspan = parms.opt_sortable_debug and

'' .. sortkey .. '♠' or

''

parms.join_before = sortspan

end

if parms.table_align then

local sort

if sortkey then

sort = ' data-sort-value="' .. sortkey .. '"'

if parms.opt_sortable_debug then

parms.join_before = '' .. sortkey .. ''

end

else

sort = ''

end

local style = 'style="text-align:' .. parms.table_align .. ';'

local joins = {}

for i = 1, 2 do

joins[i] = (i == 1 and '' or '\n|') .. style .. user_style(parms, i) .. '"' .. sort .. '|'

end

parms.table_joins = joins

end

return sortspan, scaled_value

end

local cvt_to_hand

local function cvtround(parms, info, in_current, out_current)

-- Return true, t where t is a table with the conversion results; fields:

-- show = rounded, formatted string with the result of converting value in info,

-- using the rounding specified in parms.

-- singular = true if result (after rounding and ignoring any negative sign)

-- is "1", or like "1.00", or is a fraction with value < 1;

-- (and more fields shown below, and a calculated 'absvalue' field).

-- or return false, t where t is an error message table.

-- Input info.clean uses en digits (it has been translated, if necessary).

-- Output show uses en or non-en digits as appropriate, or can be spelled.

if out_current.builtin == 'hand' then

return cvt_to_hand(parms, info, in_current, out_current)

end

local invalue = in_current.builtin == 'hand' and info.altvalue or info.value

local outvalue, extra = convert(parms, invalue, info, in_current, out_current)

if parms.need_table_or_sort then

parms.need_table_or_sort = nil -- process using first input value only

make_table_or_sort(parms, invalue, info, in_current)

end

if extra then

if not outvalue then return false, extra end

invalue = extra.invalue or invalue

outvalue = extra.outvalue

end

if not valid_number(outvalue) then

return false, { 'cvt_invalid_num' }

end

local isnegative

if outvalue < 0 then

isnegative = true

outvalue = -outvalue

end

local precision, show, exponent

local denominator = out_current.frac

if denominator then

show = fraction_table(outvalue, denominator)

else

precision = parms.precision

if not precision then

if parms.sigfig then

show, exponent = make_sigfig(outvalue, parms.sigfig)

elseif parms.opt_round then

local n = parms.opt_round

if n == 0.5 then

local integer, fracpart = math.modf(floor(2 * outvalue + 0.5) / 2)

if fracpart == 0 then

show = format('%.0f', integer)

else

show = format('%.1f', integer + fracpart)

end

else

show = format('%.0f', floor((outvalue / n) + 0.5) * n)

end

elseif in_current.builtin == 'mach' then

local sigfig = info.clean:gsub('^[0.]+', ):gsub('%.', ):len() + 1

show, exponent = make_sigfig(outvalue, sigfig)

else

local inclean = info.clean

if extra then

inclean = extra.clean or inclean

show = extra.show

end

if not show then

precision = default_precision(parms, invalue, inclean, info.denominator, outvalue, in_current, out_current, extra)

end

end

end

end

if precision then

if precision >= 0 then

local fudge

if precision <= 8 then

-- Add a fudge to handle common cases of bad rounding due to inability

-- to precisely represent some values. This makes the following work:

-- {{convert|-100.1|C|K}} and {{convert|5555000|um|m|2}}.

-- Old template uses #expr round, which invokes PHP round().

-- LATER: Investigate how PHP round() works.

fudge = 2e-14

else

fudge = 0

end

local fmt = '%.' .. format('%d', precision) .. 'f'

local success

success, show = pcall(format, fmt, outvalue + fudge)

if not success then

return false, { 'cvt_big_prec', tostring(precision) }

end

else

precision = -precision -- #digits to zero (in addition to any digits after dot)

local shift = 10 ^ precision

show = format('%.0f', outvalue/shift)

if show ~= '0' then

exponent = #show + precision

end

end

end

local t = format_number(parms, show, exponent, isnegative)

if type(show) == 'string' then

-- Set singular using match because on some systems 0.99999999999999999 is 1.0.

if exponent then

t.singular = (exponent == 1 and show:match('^10*$'))

else

t.singular = (show == '1' or show:match('^1%.0*$'))

end

else

t.fraction_table = show

t.singular = (outvalue <= 1) -- cannot have 'fraction == 1', but if it were possible it would be singular

end

t.raw_absvalue = outvalue -- absolute value before rounding

return true, setmetatable(t, {

__index = function (self, key)

if key == 'absvalue' then

-- Calculate absolute value after rounding, if needed.

local clean, exponent = rawget(self, 'clean'), rawget(self, 'exponent')

local value = tonumber(clean) -- absolute value (any negative sign has been ignored)

if exponent then

value = value * 10^exponent

end

rawset(self, key, value)

return value

end

end })

end

function cvt_to_hand(parms, info, in_current, out_current)

-- Convert input to hands, inches.

-- Return true, t where t is a table with the conversion results;

-- or return false, t where t is an error message table.

if parms.abbr_org == nil then

out_current.usename = true -- default is to show name not symbol

end

local precision = parms.precision

local frac = out_current.frac

if not frac and precision and precision > 1 then

frac = (precision == 2) and 2 or 4

end

local out_next = out_current.out_next

if out_next then

-- Use magic knowledge to determine whether the next unit is inches without requiring i18n.

-- The following ensures that when the output combination "hand in" is used, the inches

-- value is rounded to match the hands value. Also, displaying say "61½" instead of 61.5

-- is better as 61.5 implies the value is not 61.4.

if out_next.exception == 'subunit_more_precision' then

out_next.frac = frac

end

end

-- Convert to inches; calculate hands from that.

local dummy_unit_table = { scale = out_current.scale / 4, frac = frac }

local success, outinfo = cvtround(parms, info, in_current, dummy_unit_table)

if not success then return false, outinfo end

local tfrac = outinfo.fraction_table

local inches = outinfo.raw_absvalue

if tfrac then

inches = floor(inches) -- integer part only; fraction added later

else

inches = floor(inches + 0.5) -- a hands measurement never shows decimals of an inch

end

local hands, inches = divide(inches, 4)

outinfo.absvalue = hands + inches/4 -- supposed to be the absolute rounded value, but this is close enough

local inchstr = tostring(inches) -- '0', '1', '2' or '3'

if precision and precision <= 0 then -- using negative or 0 for precision rounds to nearest hand

hands = floor(outinfo.raw_absvalue/4 + 0.5)

inchstr = ''

elseif tfrac then

-- Always show an integer before fraction (like "15.0½") because "15½" means 15-and-a-half hands.

inchstr = numdot .. format_fraction(parms, 'out', false, inchstr, tfrac.numstr, tfrac.denstr)

else

inchstr = numdot .. from_en(inchstr)

end

outinfo.show = outinfo.sign .. with_separator(parms, format('%.0f', hands)) .. inchstr

return true, outinfo

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)

-- only en digits are accepted

-- '<' 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

error('Invalid default expression', 0)

elseif arithop == '*' then

factor = tonumber(factor)

if factor == nil then

error('Invalid default expression', 0)

end

value = value * factor

end

limit = tonumber(limit)

if limit == nil then

error('Invalid default expression', 0)

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

error('Invalid default expression', 0) -- 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

local function get_default(value, unit_table)

-- Return true, s where s = name of unit's default output unit,

-- or return false, t where t is an error message table.

-- Some units have a default that depends on the input value

-- (the first value if a range of values is used).

-- If '!' is in the default, the first bang-delimited field is an

-- expression that uses 'v' to represent the input value.

-- Example: 'v < 120 ! small ! big ! suffix' (suffix is optional)

-- evaluates 'v < 120' as a boolean with result

-- 'smallsuffix' if (value < 120), or 'bigsuffix' otherwise.

-- Input must use en digits and '.' decimal mark.

local default = data_code.default_exceptions[unit_table.defkey or unit_table.symbol] or unit_table.default

if not default then

local per = unit_table.per

if per then

local function a_default(v, u)

local success, ucode = get_default(v, u)

if not success then

return '?' -- an unlikely error has occurred; will cause lookup of default to fail

end

-- Attempt to use only the first unit if a combination or output multiple.

-- This is not bulletproof but should work for most cases.

-- Where it does not work, the convert will need to specify the wanted output unit.

local t = all_units[ucode]

if t then

local combo = t.combination

if combo then

-- For a multiple like ftin, the "first" unit (ft) is last in the combination.

local i = t.multiple and table_len(combo) or 1

ucode = combo[i]

end

else

-- Try for an automatically generated combination.

local item = ucode:match('^(.-)%+') or ucode:match('^(%S+)%s')

if all_units[item] then

return item

end

end

return ucode

end

local unit1, unit2 = per[1], per[2]

local def1 = (unit1 and a_default(value, unit1) or unit_table.vprefix or '')

local def2 = a_default(1, unit2) -- 1 because per unit of denominator

return true, def1 .. '/' .. def2

end

return false, { 'cvt_no_default', unit_table.symbol }

end

if default:find('!', 1, true) == nil then

return true, default

end

local t = split(default, '!')

if #t == 3 or #t == 4 then

local success, result = pcall(evaluate_condition, value, t[1])

if success then

default = result and t[2] or t[3]

if #t == 4 then

default = default .. t[4]

end

return true, default

end

end

return false, { 'cvt_bad_default', unit_table.symbol }

end

local linked_pages -- to record linked pages so will not link to the same page more than once

local function unlink(unit_table)

-- Forget that the given unit has previously been linked (if it has).

-- That is needed when processing a range of inputs or outputs when an id

-- for the first range value may have been evaluated, but only an id for

-- the last value is displayed, and that id may need to be linked.

linked_pages[unit_table.unitcode or unit_table] = nil

end

local function make_link(link, id, unit_table)

-- Return wikilink "id", possibly abbreviated as in examples:

-- mile --> mile

-- miles --> miles

-- However, just id is returned if:

-- * no link given (so caller does not need to check if a link was defined); or

-- * link has previously been used during the current convert (to avoid overlinking).

local link_key

if unit_table then

link_key = unit_table.unitcode or unit_table

else

link_key = link

end

if not link or link == '' or linked_pages[link_key] then

return id

end

linked_pages[link_key] = true

-- Following only works for language en, but it should be safe on other wikis,

-- and overhead of doing it generally does not seem worthwhile.

local l = link:sub(1, 1):lower() .. link:sub(2)

if link == id or l == id then

return '' .. id .. ''

elseif link .. 's' == id or l .. 's' == id then

return '' .. id:sub(1, -2) .. 's'

else

return '' .. id .. ''

end

end

local function variable_name(clean, unit_table, exp_multiplier, key_id)

-- A unit name may depend on the value in some languages.

-- Parameter clean is the unsigned value in en digits, as a string.

-- It may represent a number ("1.0") or a fraction ("1+2/3").

-- In varname, fields are separated with "!" and are not empty.

-- A field for a unit using an SI prefix has the prefix name inserted,

-- replacing '#' if found, or before the field otherwise.

if clean:match('[./]') then -- float or fraction

if exp_multiplier then

clean = exp_multiplier -- force selection of name for a large integer

else

clean = 34.5 -- force selection of name for a float value

end

else

clean = tonumber(clean) * (exp_multiplier or 1)

end

local name1, vname

if key_id == 'pername' and unit_table.pername then

vname = unit_table.pername

elseif unit_table.varname then

local splitvname = split(unit_table.varname, '!')

name1 = unit_table.name1

vname = mw.language.getContentLanguage():convertPlural(clean, name1, unpack(splitvname))

else

return clean == 1 and unit_table.name1 or unit_table.name2

end

if vname == name1 then

-- SI prefix (if any) has been inserted by unit_prefixed_mt.

else

local si_name = rawget(unit_table, 'si_name') or ''

local pos = vname:find('#', 1, true)

if pos then

vname = vname:sub(1, pos - 1) .. si_name .. vname:sub(pos + 1)

else

vname = si_name .. vname

end

end

return vname

end

local function linked_id(parms, unit_table, key_id, want_link, clean, exp_multiplier)

-- Return final unit id (symbol or name), optionally with a wikilink,

-- and update unit_table.sep if required.

-- key_id is one of: 'symbol', 'sym_us', 'name1', 'name1_us', 'name2', 'name2_us', 'pername'.

local abbr_on = (key_id == 'symbol' or key_id == 'sym_us')

if abbr_on and want_link then

local symlink = rawget(unit_table, 'symlink')

if symlink then

return symlink -- for exceptions that have the linked symbol built-in

end

end

local multiplier = rawget(unit_table, 'multiplier')

local per = unit_table.per

if per then

local paren1, paren2 = , -- possible parentheses around bottom unit

local unit1 = per[1] -- top unit_table, or nil

local unit2 = per[2] -- bottom unit_table

if abbr_on then

if not unit1 then

unit_table.sep = '' -- no separator in "$2/acre"

end

if not want_link then

local symbol = unit_table.symbol_raw

if symbol then

return symbol -- for exceptions that have the symbol built-in

end

end

if (unit2.symbol):find('⋅', 1, true) then

paren1, paren2 = '(', ')'

end

end

local key_id2 -- unit2 is always singular

if key_id == 'name2' then

key_id2 = 'name1'

elseif key_id == 'name2_us' then

key_id2 = 'name1_us'

else

key_id2 = key_id

end

if key_id2 == 'name1' or key_id2 == 'name1_us' then

key_id2 = unit2.pername and 'pername' or key_id2 -- ukwiki has some units with a different name in "per unitname"

end

local result

if abbr_on then

result = '/'

elseif omitsep then

result = per_word

elseif unit1 then

result = ' ' .. per_word .. ' '

else

result = per_word .. ' '

end

if want_link and unit_table.link then

if varname and not abbr_on then

result = (unit1 and variable_name(clean, unit1, exp_multiplier) or '') .. result .. variable_name('1', unit2, exp_multiplier, key_id2)

else

result = (unit1 and linked_id(parms, unit1, key_id, false, clean) or '') .. result .. linked_id(parms, unit2, key_id2, false, '1')

end

if omit_separator(result) then

unit_table.sep = ''

end

return make_link(unit_table.link, result, unit_table)

end

if unit1 then

result = linked_id(parms, unit1, key_id, want_link, clean) .. result

if unit1.sep then

unit_table.sep = unit1.sep

end

elseif omitsep then

unit_table.sep = ''

end

return result .. paren1 .. linked_id(parms, unit2, key_id2, want_link, '1') .. paren2

end

if multiplier then

-- A multiplier (like "100" in "100km") forces the unit to be plural.

multiplier = from_en(multiplier)

if not omitsep then

multiplier = multiplier .. (abbr_on and ' ' or ' ')

end

if not abbr_on then

if key_id == 'name1' then

key_id = 'name2'

elseif key_id == 'name1_us' then

key_id = 'name2_us'

end

end

else

multiplier = ''

end

local id = unit_table.fixed_name or ((varname and not abbr_on) and variable_name(clean, unit_table, exp_multiplier, key_id) or unit_table[key_id])

if omit_separator(id) then

unit_table.sep = ''

end

if want_link then

local link = data_code.link_exceptions[unit_table.linkey or unit_table.symbol] or unit_table.link

if link then

local before = ''

local i = unit_table.customary

if i == 1 and parms.opt_sp_us then

i = 2 -- show "U.S." not "US"

end

if i == 3 and abbr_on then

i = 4 -- abbreviate "imperial" to "imp"

end

local customary = text_code.customary_units[i]

if customary then

-- LATER: This works for language en only, but it's esoteric so ignore for now.

local pertext

if id:sub(1, 1) == '/' then

-- Want unit "/USgal" to display as "/U.S. gal", not "U.S. /gal".

pertext = '/'

id = id:sub(2)

elseif id:sub(1, 4) == 'per ' then

-- Similarly want "per U.S. gallon", not "U.S. per gallon" (but in practice this is unlikely to be used).

pertext = 'per '

id = id:sub(5)

else

pertext = ''

end

-- Omit any "US"/"U.S."/"imp"/"imperial" from start of id since that will be inserted.

local removes = (i < 3) and { 'US ', 'US ', 'U.S. ', 'U.S. ' } or { 'imp ', 'imp ', 'imperial ' }

for _, prefix in ipairs(removes) do

local plen = #prefix

if id:sub(1, plen) == prefix then

id = id:sub(plen + 1)

break

end

end

before = pertext .. make_link(customary.link, customary[1]) .. ' '

end

id = before .. make_link(link, id, unit_table)

end

end

return multiplier .. id

end

local function make_id(parms, which, unit_table)

-- Return id, f where

-- id = unit name or symbol, possibly modified

-- f = true if id is a name, or false if id is a symbol

-- using the value for index 'which', and for 'in' or 'out' (unit_table.inout).

-- Result is '' if no symbol/name is to be used.

-- In addition, set unit_table.sep = ' ' or ' ' or ''

-- (the separator that caller will normally insert before the id).

if parms.opt_values then

unit_table.sep = ''

return ''

end

local inout = unit_table.inout

local info = unit_table.valinfo[which]

local lk = parms.lk

local want_link = (lk == 'on' or lk == inout)

local singular = info.singular

local want_name

local exp_multiplier

if unit_table.usename then

want_name = true

else

if parms.abbr_org == nil then

if parms.wantname then

want_name = true

end

if unit_table.usesymbol then

want_name = false

end

end

if want_name == nil then

local abbr = parms.abbr

if abbr == 'on' or abbr == inout or (abbr == 'mos' and inout == 'out') then

want_name = false

else

want_name = true

end

end

end

local key

if want_name then

if lk == nil and unit_table.builtin == 'hand' then

want_link = true

end

if parms.opt_use_nbsp then

unit_table.sep = ' '

else

unit_table.sep = ' '

end

if parms.opt_singular then

local value

if inout == 'in' then

value = info.value

else

value = info.absvalue

end

if value then -- some unusual units do not always set value field

value = abs(value)

singular = (0 < value and value < 1.0001)

end

end

if unit_table.engscale then

-- engscale: so "|1|e3kg" gives "1 thousand kilograms" (plural)

singular = false

exp_multiplier = 10^unit_table.engscale.exponent -- '1 gram' and '1 thousand grams', for example, may use different names for the unit in some languages

end

key = (parms.opt_adjectival or singular) and 'name1' or 'name2'

if parms.opt_sp_us then

key = key .. '_us'

end

else

if unit_table.builtin == 'hand' then

if parms.opt_hand_hh then

unit_table.symbol = 'hh' -- LATER: might want i18n applied to this

end

end

unit_table.sep = ' '

key = parms.opt_sp_us and 'sym_us' or 'symbol'

end

return linked_id(parms, unit_table, key, want_link, info.clean, exp_multiplier), want_name

end

local function decorate_value(parms, unit_table, which, enable_number_word)

-- If needed, update unit_table so values will be shown with extra information.

-- For consistency with the old template (but different from fmtpower),

-- the style to display powers of 10 includes "display:none" to allow some

-- browsers to copy, for example, "10³" as "10^3", rather than as "103".

-- The engscale table may have entries such as either of the following:

-- ["3"] = { "thousand", exponent = 3 },

-- ["3"] = { name1 = "A", varname = "B!C!D", exponent = 3 },

-- The first option always uses "thousand" as the exponent name.

-- The second option uses one of A, B, C, D as the exponent name, depending on the value.

local info

local engscale = unit_table.engscale

local prefix = unit_table.vprefix

if engscale or prefix then

info = unit_table.valinfo[which]

if info.decorated then

return -- do not redecorate if repeating convert

end

info.decorated = true

if engscale then

-- Range |10|-|20|e3km| gives '10×10³–20×10³' or '10–20 thousand'.

local inout = unit_table.inout

local abbr = parms.abbr

if (abbr == 'on' or abbr == inout) and not (unit_table.this_number_word or parms.number_word) then

info.show = info.show ..

'×' ..

from_en('10') ..

'^' ..

from_en(tostring(engscale.exponent)) .. ''

elseif enable_number_word then

local number_id

local name = engscale.varname and variable_name(info.clean, engscale) or engscale[1]

if parms.lk == 'on' or parms.lk == inout then

number_id = make_link(engscale.link, name)

else

number_id = name

end

-- WP:NUMERAL recommends " " in values like "12 million".

info.show = info.show .. (parms.opt_adjectival and '-' or ' ') .. number_id

end

end

if prefix then

info.show = prefix .. info.show

end

end

end

local function process_input(parms, in_current)

-- Processing required once per conversion.

-- Return block of text to represent input (value/unit).

if parms.opt_output_only or parms.opt_output_number_only or parms.opt_output_unit_only then

parms.joins = { , }

return ''

end

local first_unit

local composite = in_current.composite -- nil or table of units

if composite then

first_unit = composite[1]

else

first_unit = in_current

end

local id1, want_name = make_id(parms, 1, first_unit)

local sep = first_unit.sep -- separator between value and unit, set by make_id

local preunit = parms.preunit1

if preunit then

sep = '' -- any separator is included in preunit

else

preunit = ''

end

if parms.opt_input_unit_only then

parms.joins = { , }

if composite then

local parts = { id1 }

for i, unit in ipairs(composite) do

if i > 1 then

table.insert(parts, (make_id(parms, 1, unit)))

end

end

id1 = table.concat(parts, ' ')

end

if want_name and parms.opt_adjectival then

return preunit .. hyphenated(id1)

end

return preunit .. id1

end

if parms.opt_also_symbol and not composite and not parms.opt_flip then

local join1 = parms.joins[1]

if join1 == ' (' or join1 == ' [' then

parms.joins = { ' [' .. first_unit[parms.opt_sp_us and 'sym_us' or 'symbol'] .. ']' .. join1 , parms.joins[2] }

end

end

if in_current.builtin == 'mach' and first_unit.sep ~= then -- means omitsep with non-enwiki name

local prefix = id1 .. ' '

local range = parms.range

local valinfo = first_unit.valinfo

local result = prefix .. valinfo[1].show

if range then

-- For simplicity and because more not needed, handle one range item only.

local prefix2 = make_id(parms, 2, first_unit) .. ' '

result = range_text(range[1], want_name, parms, result, prefix2 .. valinfo[2].show, 'in', {spaced=true})

end

return preunit .. result

end

if composite then

-- Simplify: assume there is no range, and no decoration.

local mid = (not parms.opt_flip) and parms.mid or ''

local sep1 = ' '

local sep2 = ' '

if parms.opt_adjectival and want_name then

sep1 = '-'

sep2 = '-'

end

if omitsep and sep == '' then

-- Testing the id of the most significant unit should be sufficient.

sep1 = ''

sep2 = ''

end

local parts = { first_unit.valinfo[1].show .. sep1 .. id1 }

for i, unit in ipairs(composite) do

if i > 1 then

table.insert(parts, unit.valinfo[1].show .. sep1 .. (make_id(parms, 1, unit)))

end

end

return table.concat(parts, sep2) .. mid

end

local add_unit = (parms.abbr == 'mos') or

parms[parms.opt_flip and 'out_range_x' or 'in_range_x'] or

(not want_name and parms.abbr_range_x)

local range = parms.range

if range and not add_unit then

unlink(first_unit)

end

local id = range and make_id(parms, range.n + 1, first_unit) or id1

local extra, was_hyphenated = hyphenated_maybe(parms, want_name, sep, id, 'in')

if was_hyphenated then

add_unit = false

end

local result

local valinfo = first_unit.valinfo

if range then

for i = 0, range.n do

local enable_number_word

if i == range.n then

add_unit = false

enable_number_word = true

end

decorate_value(parms, first_unit, i+1, enable_number_word)

local show = valinfo[i+1].show

if add_unit then

show = show .. first_unit.sep .. (i == 0 and id1 or make_id(parms, i+1, first_unit))

end

if i == 0 then

result = show

else

result = range_text(range[i], want_name, parms, result, show, 'in')

end

end

else

decorate_value(parms, first_unit, 1, true)

result = valinfo[1].show

end

return result .. preunit .. extra

end

local function process_one_output(parms, out_current)

-- Processing required for each output unit.

-- Return block of text to represent output (value/unit).

local inout = out_current.inout -- normally 'out' but can be 'in' for order=out

local id1, want_name = make_id(parms, 1, out_current)

local sep = out_current.sep -- set by make_id

local preunit = parms.preunit2

if preunit then

sep = '' -- any separator is included in preunit

else

preunit = ''

end

if parms.opt_output_unit_only then

if want_name and parms.opt_adjectival then

return preunit .. hyphenated(id1)

end

return preunit .. id1

end

if out_current.builtin == 'mach' and out_current.sep ~= then -- means omitsep with non-enwiki name

local prefix = id1 .. ' '

local range = parms.range

local valinfo = out_current.valinfo

local result = prefix .. valinfo[1].show

if range then

-- For simplicity and because more not needed, handle one range item only.

result = range_text(range[1], want_name, parms, result, prefix .. valinfo[2].show, inout, {spaced=true})

end

return preunit .. result

end

local add_unit = (parms[parms.opt_flip and 'in_range_x' or 'out_range_x'] or

(not want_name and parms.abbr_range_x)) and

not parms.opt_output_number_only

local range = parms.range

if range and not add_unit then

unlink(out_current)

end

local id = range and make_id(parms, range.n + 1, out_current) or id1

local extra, was_hyphenated = hyphenated_maybe(parms, want_name, sep, id, inout)

if was_hyphenated then

add_unit = false

end

local result

local valinfo = out_current.valinfo

if range then

for i = 0, range.n do

local enable_number_word

if i == range.n then

add_unit = false

enable_number_word = true

end

decorate_value(parms, out_current, i+1, enable_number_word)

local show = valinfo[i+1].show

if add_unit then

show = show .. out_current.sep .. (i == 0 and id1 or make_id(parms, i+1, out_current))

end

if i == 0 then

result = show

else

result = range_text(range[i], want_name, parms, result, show, inout)

end

end

else

decorate_value(parms, out_current, 1, true)

result = valinfo[1].show

end

if parms.opt_output_number_only then

return result

end

return result .. preunit .. extra

end

local function make_output_single(parms, in_unit_table, out_unit_table)

-- Return true, item where item = wikitext of the conversion result

-- for a single output (which is not a combination or a multiple);

-- or return false, t where t is an error message table.

if parms.opt_order_out and in_unit_table.unitcode == out_unit_table.unitcode then

out_unit_table.valinfo = in_unit_table.valinfo

else

out_unit_table.valinfo = collection()

for _, v in ipairs(in_unit_table.valinfo) do

local success, info = cvtround(parms, v, in_unit_table, out_unit_table)

if not success then return false, info end

out_unit_table.valinfo:add(info)

end

end

return true, process_one_output(parms, out_unit_table)

end

local function make_output_multiple(parms, in_unit_table, out_unit_table)

-- Return true, item where item = wikitext of the conversion result

-- for an output which is a multiple (like 'ftin');

-- or return false, t where t is an error message table.

local inout = out_unit_table.inout -- normally 'out' but can be 'in' for order=out

local multiple = out_unit_table.multiple -- table of scaling factors (will not be nil)

local combos = out_unit_table.combination -- table of unit tables (will not be nil)

local abbr = parms.abbr

local abbr_org = parms.abbr_org

local disp = parms.disp

local want_name = (abbr_org == nil and (disp == 'or' or disp == 'slash')) or

not (abbr == 'on' or abbr == inout or abbr == 'mos')

local want_link = (parms.lk == 'on' or parms.lk == inout)

local mid = parms.opt_flip and parms.mid or ''

local sep1 = ' '

local sep2 = ' '

if parms.opt_adjectival and want_name then

sep1 = '-'

sep2 = '-'

end

local do_spell = parms.opt_spell_out

parms.opt_spell_out = nil -- so the call to cvtround does not spell the value

local function make_result(info, isfirst)

local fmt, outvalue, sign

local results = {}

for i = 1, #combos do

local tfrac, thisvalue, strforce

local out_current = combos[i]

out_current.inout = inout

local scale = multiple[i]

if i == 1 then -- least significant unit ('in' from 'ftin')

local decimals

out_current.frac = out_unit_table.frac

local success, outinfo = cvtround(parms, info, in_unit_table, out_current)

if not success then return false, outinfo end

if isfirst then

out_unit_table.valinfo = { outinfo } -- in case output value of first least significant unit is needed

end

sign = outinfo.sign

tfrac = outinfo.fraction_table

if outinfo.is_scientific then

strforce = outinfo.show

decimals = ''

elseif tfrac then

decimals = ''

else

local show = outinfo.show -- number as a string in local language

local p1, p2 = show:find(numdot, 1, true)

decimals = p1 and show:sub(p2 + 1) or '' -- text after numdot, if any

end

fmt = '%.' .. ulen(decimals) .. 'f' -- to reproduce precision

if decimals == '' then

if tfrac then

outvalue = floor(outinfo.raw_absvalue) -- integer part only; fraction added later

else

outvalue = floor(outinfo.raw_absvalue + 0.5) -- keep all integer digits of least significant unit

end

else

outvalue = outinfo.absvalue

end

end

if scale then

outvalue, thisvalue = divide(outvalue, scale)

else

thisvalue = outvalue

end

local id

if want_name then

if varname then

local clean

if strforce or tfrac then

clean = '.1' -- dummy value to force name for floating point

else

clean = format(fmt, thisvalue)

end

id = variable_name(clean, out_current)

else

local key = 'name2'

if parms.opt_adjectival then

key = 'name1'

elseif tfrac then

if thisvalue == 0 then

key = 'name1'

end

elseif parms.opt_singular then

if 0 < thisvalue and thisvalue < 1.0001 then

key = 'name1'

end

else

if thisvalue == 1 then

key = 'name1'

end

end

id = out_current[key]

end

else

id = out_current['symbol']

end

if i == 1 and omit_separator(id) then

-- Testing the id of the least significant unit should be sufficient.

sep1 = ''

sep2 = ''

end

if want_link then

local link = out_current.link

if link then

id = make_link(link, id, out_current)

end

end

local strval

local spell_inout = (i == #combos or outvalue == 0) and inout or '' -- trick so the last value processed (first displayed) has uppercase, if requested

if strforce and outvalue == 0 then

sign = '' -- any sign is in strforce

strval = strforce -- show small values in scientific notation; will only use least significant unit

elseif tfrac then

local wholestr = (thisvalue > 0) and tostring(thisvalue) or nil

strval = format_fraction(parms, spell_inout, false, wholestr, tfrac.numstr, tfrac.denstr, do_spell)

else

strval = (thisvalue == 0) and from_en('0') or with_separator(parms, format(fmt, thisvalue))

if do_spell then

strval = spell_number(parms, spell_inout, strval) or strval

end

end

table.insert(results, strval .. sep1 .. id)

if outvalue == 0 then

break

end

fmt = '%.0f' -- only least significant unit can have a non-integral value

end

local reversed, count = {}, #results

for i = 1, count do

reversed[i] = results[count + 1 - i]

end

return true, sign .. table.concat(reversed, sep2)

end

local valinfo = in_unit_table.valinfo

local success, result = make_result(valinfo[1], true)

if not success then return false, result end

local range = parms.range

if range then

for i = 1, range.n do

local success, result2 = make_result(valinfo[i+1])

if not success then return false, result2 end

result = range_text(range[i], want_name, parms, result, result2, inout, {spaced=true})

end

end

return true, result .. mid

end

local function process(parms, in_unit_table, out_unit_table)

-- Return true, s, outunit where s = final wikitext result,

-- or return false, t where t is an error message table.

linked_pages = {}

local success, bad_output

local bad_input_mcode = in_unit_table.bad_mcode -- nil if input unit is a valid convert unit

local out_unit = parms.out_unit

if out_unit == nil or out_unit == '' or type(out_unit) == 'function' then

-- out_unit can be set to a function by adjustparameters in Module:Convert/wikidata.

if bad_input_mcode or parms.opt_input_unit_only then

bad_output = ''

else

local getdef = type(out_unit) == 'function' and out_unit or get_default

success, out_unit = getdef(in_unit_table.valinfo[1].value, in_unit_table)

parms.out_unit = out_unit

if not success then

bad_output = out_unit

end

end

end

if not bad_output and not out_unit_table then

success, out_unit_table = lookup(parms, out_unit, 'any_combination')

if success then

local mismatch = check_mismatch(in_unit_table, out_unit_table)

if mismatch then

bad_output = mismatch

end

else

bad_output = out_unit_table

end

end

local lhs, rhs

local flipped = parms.opt_flip and not bad_input_mcode

if bad_output then

rhs = (bad_output == ) and or message(parms, bad_output)

elseif parms.opt_input_unit_only then

rhs = ''

else

local combos -- nil (for 'ft' or 'ftin'), or table of unit tables (for 'm ft')

if not out_unit_table.multiple then -- nil/false ('ft' or 'm ft'), or table of factors ('ftin')

combos = out_unit_table.combination

end

local frac = parms.frac -- nil or denominator of fraction for output values

if frac then

-- Apply fraction to the unit (if only one), or to non-SI units (if a combination),

-- except that if a precision is also specified, the fraction only applies to

-- the hand unit; that allows the following result:

-- {{convert|156|cm|in hand|1|frac=2}} → 156 centimetres (61.4 in; 15.1½ hands)

-- However, the following is handled elsewhere as a special case:

-- {{convert|156|cm|hand in|1|frac=2}} → 156 centimetres (15.1½ hands; 61½ in)

if combos then

local precision = parms.precision

for _, unit in ipairs(combos) do

if unit.builtin == 'hand' or (not precision and not unit.prefixes) then

unit.frac = frac

end

end

else

out_unit_table.frac = frac

end

end

local outputs = {}

local imax = combos and #combos or 1 -- 1 (single unit) or number of unit tables

if imax == 1 then

parms.opt_order_out = nil -- only useful with an output combination

end

if not flipped and not parms.opt_order_out then

-- Process left side first so any duplicate links (from lk=on) are suppressed

-- on right. Example: {{convert|28|e9pc|e9ly|abbr=off|lk=on}}

lhs = process_input(parms, in_unit_table)

end

for i = 1, imax do

local success, item

local out_current = combos and combos[i] or out_unit_table

out_current.inout = 'out'

if i == 1 then

if imax > 1 and out_current.builtin == 'hand' then

out_current.out_next = combos[2] -- built-in hand can influence next unit in a combination

end

if parms.opt_order_out then

out_current.inout = 'in'

end

end

if out_current.multiple then

success, item = make_output_multiple(parms, in_unit_table, out_current)

else

success, item = make_output_single(parms, in_unit_table, out_current)

end

if not success then return false, item end

outputs[i] = item

end

if parms.opt_order_out then

lhs = outputs[1]

table.remove(outputs, 1)

end

local sep = parms.table_joins and parms.table_joins[2] or parms.join_between

rhs = table.concat(outputs, sep)

end

if flipped or not lhs then

local input = process_input(parms, in_unit_table)

if flipped then

lhs = rhs

rhs = input

else

lhs = input

end

end

if parms.join_before then

lhs = parms.join_before .. lhs

end

local wikitext

if bad_input_mcode then

if bad_input_mcode == '' then

wikitext = lhs

else

wikitext = lhs .. message(parms, bad_input_mcode)

end

elseif parms.table_joins then

wikitext = parms.table_joins[1] .. lhs .. parms.table_joins[2] .. rhs

else

wikitext = lhs .. parms.joins[1] .. rhs .. parms.joins[2]

end

if parms.warnings and not bad_input_mcode then

wikitext = wikitext .. parms.warnings

end

return true, get_styles(parms) .. wikitext, out_unit_table

end

local function main_convert(frame)

-- Do convert, and if needed, do it again with higher default precision.

local parms = { frame = frame } -- will hold template arguments, after translation

set_config(frame.args)

local success, result = get_parms(parms, frame:getParent().args)

if success then

if type(result) ~= 'table' then

return tostring(result)

end

local in_unit_table = result

local out_unit_table

for _ = 1, 2 do -- use counter so cannot get stuck repeating convert

success, result, out_unit_table = process(parms, in_unit_table, out_unit_table)

if success and parms.do_convert_again then

parms.do_convert_again = false

else

break

end

end

end

-- If input=x gives a problem, the result should be just the user input

-- (if x is a property like P123 it has been replaced with '').

-- An unknown input unit would display the input and an error message

-- with success == true at this point.

-- Also, can have success == false with a message that outputs an empty string.

if parms.input_text then

if success and not parms.have_problem then

return result

end

local cat

if parms.tracking then

-- Add a tracking category using the given text as the category sort key.

-- There is currently only one type of tracking, but in principle multiple

-- items could be tracked, using different sort keys for convenience.

cat = wanted_category('tracking', parms.tracking)

end

return parms.input_text .. (cat or '')

end

return success and result or message(parms, result)

end

local function _unit(unitcode, options)

-- Helper function for Module:Val to look up a unit.

-- Parameter unitcode must be a string to identify the wanted unit.

-- Parameter options must be nil or a table with optional fields:

-- value = number (for sort key; default value is 1)

-- scaled_top = nil for a normal unit, or a number for a unit which is

-- the denominator of a per unit (for sort key)

-- si = { 'symbol', 'link' }

-- (a table with two strings) to make an SI unit

-- that will be used for the look up

-- link = true if result should be linked

-- sort = 'on' or 'debug' if result should include a sort key in a

-- span element ('debug' makes the key visible)

-- name = true for the name of the unit instead of the symbol

-- us = true for the US spelling of the unit, if any

-- Return nil if unitcode is not a non-empty string.

-- Otherwise return a table with fields:

-- text = requested symbol or name of unit, optionally linked

-- scaled_value = input value adjusted by unit scale; used for sort key

-- sortspan = span element with sort key like that provided by {{ntsh}},

-- calculated from the result of converting value

-- to a base unit with scale 1.

-- unknown = true if the unitcode was not known

unitcode = strip(unitcode)

if unitcode == nil or unitcode == '' then

return nil

end

set_config({})

linked_pages = {}

options = options or {}

local parms = {

abbr = options.name and 'off' or 'on',

lk = options.link and 'on' or nil,

opt_sp_us = options.us and true or nil,

opt_ignore_error = true, -- do not add pages using this function to 'what links here' for Module:Convert/extra

opt_sortable_on = options.sort == 'on' or options.sort == 'debug',

opt_sortable_debug = options.sort == 'debug',

}

if options.si then

-- Make a dummy table of units (just one unit) for lookup to use.

-- This makes lookup recognize any SI prefix in the unitcode.

local symbol = options.si[1] or '?'

parms.unittable = { [symbol] = {

_name1 = symbol,

_name2 = symbol,

_symbol = symbol,

utype = symbol,

scale = symbol == 'g' and 0.001 or 1,

prefixes = 1,

default = symbol,

link = options.si[2],

}}

end

local success, unit_table = lookup(parms, unitcode, 'no_combination')

if not success then

unit_table = setmetatable({

symbol = unitcode, name2 = unitcode, utype = unitcode,

scale = 1, default = , defkey = , linkey = '' }, unit_mt)

end

local value = tonumber(options.value) or 1

local clean = tostring(abs(value))

local info = {

value = value,

altvalue = value,

singular = (clean == '1'),

clean = clean,

show = clean,

}

unit_table.inout = 'in'

unit_table.valinfo = { info }

local sortspan, scaled_value

if options.sort then

sortspan, scaled_value = make_table_or_sort(parms, value, info, unit_table, options.scaled_top)

end

return {

text = make_id(parms, 1, unit_table),

sortspan = sortspan,

scaled_value = scaled_value,

unknown = not success and true or nil,

}

end

return { convert = main_convert, _unit = _unit }