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Modul:ConvertNumeric

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{{#invoke:ConvertNumeric|function_name}}

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-- Module for converting between different representations of numbers. See talk page for user documentation.
-- For unit tests see: [[Modul:ConvertNumeric/testcases]]
-- When editing, preview with: [[Pembicaraan Modul:ConvertNumeric/testcases]]
-- First, edit [[Modul:ConvertNumeric/sandbox]], then preview with [[Pembicaraan Modul:ConvertNumeric/sandbox/testcases]]
require('strict')

local ones_position = {
    [0] = 'nol',
    [1] = 'sittong',
    [2] = 'duwâ`',
    [3] = 'tello`',
    [4] = 'empa`',
    [5] = 'lèma`',
    [6] = 'ennâm',
    [7] = 'pètto`',
    [8] = 'bellu`',
    [9] = 'sanga`',
}

local numbers_position = {
    [1] = 'sa',
    [2] = 'du',
    [3] = 'tlo`',
    [4] = 'mpa`',
    [5] = 'panca-',
    [6] = 'nem',
    [7] = 'pètto`',
    [8] = 'blu`',
    [9] = 'sanga`',
}

local groups = {
    [1] = 'èbu',
    [2] = 'juta',
    [3] = 'miliar',
    [4] = 'triliun',
    [5] = 'kuadriliun',
    [6] = 'kuintiliun',
    [7] = 'sakstiliun',
    [8] = 'septiliun',
    [9] = 'oktiliun',
    [10] = 'noniliun',
    [11] = 'desiliun',
    [12] = 'undesiliun',
    [13] = 'duodesiliun',
    [14] = 'tredesiliun',
    [15] = 'kuatuordesiliun',
    [16] = 'kuindesiliun',
    [17] = 'saksdesiliun',
    [18] = 'septendesiliun',
    [19] = 'oktodesiliun',
    [20] = 'novemdesiliun',
    [21] = 'vigintiliun',
    [22] = 'unvigintiliun',
    [23] = 'duovigintiliun',
    [24] = 'tresvigintiliun',
    [25] = 'kuatuorvigintiliun',
    [26] = 'kuinkuavigintiliun',
    [27] = 'sesvigintiliun',
    [28] = 'septemvigintiliun',
    [29] = 'oktovigintiliun',
    [30] = 'novemvigintiliun',
    [31] = 'trigintiliun',
    [32] = 'untrigintiliun',
    [33] = 'duotrigintiliun',
    [34] = 'trestrigintiliun',
    [35] = 'kuatuortrigintiliun',
    [36] = 'kuinkuatrigintiliun',
    [37] = 'sestrigintiliun',
    [38] = 'septentrigintiliun',
    [39] = 'oktotrigintiliun',
    [40] = 'noventrigintiliun',
    [41] = 'kuadragintiliun',
    [51] = 'kuinkuagintiliun',
    [61] = 'saksagintiliun',
    [71] = 'septuagintiliun',
    [81] = 'oktogintiliun',
    [91] = 'nonagintiliun',
    [101] = 'sentiliun',
    [102] = 'unsentiliun',
    [103] = 'duosentiliun',
    [104] = 'tresentiliun',
    [111] = 'desisentiliun',
    [112] = 'undesisentiliun',
    [121] = 'vigintisentiliun',
    [122] = 'unvigintisentiliun',
    [131] = 'trigintasentiliun',
    [141] = 'kuadragintasentiliun',
    [151] = 'kuinkuagintasentiliun',
    [161] = 'saksagintasentiliun',
    [171] = 'septuagintasentiliun',
    [181] = 'oktogintasentiliun',
    [191] = 'nonagintasentiliun',
    [201] = 'dusentiliun',
    [301] = 'tresentiliun',
    [401] = 'kuadringentiliun',
    [501] = 'kuingentiliun',
    [601] = 'sesentiliun',
    [701] = 'septingentiliun',
    [801] = 'oktingentiliun',
    [901] = 'nongentiliun',
    [1001] = 'miliniliun',
}

local roman_numerals = {
	I = 1,
	V = 5,
	X = 10,
	L = 50,
	C = 100,
	D = 500,
	M = 1000
}

local ones_position_ord = {
    [0] = 'ka-ennol',
    [1] = 'kasèttong',
    [2] = 'kaduwâ`',
    [3] = 'katello`',
    [4] = 'ka-empa`',
    [5] = 'kalèma`',
    [6] = 'ka-ennem',
    [7] = 'kapètto`',
    [8] = 'kabellu`',
    [9] = 'kasanga`',
    [10] = 'kesapoloh',
    [11] = 'kasabellâs',
    [12] = 'ka-du bellâs',
    [13] = 'katello bellâs',
    [14] = 'ka-empa` bellâs',
    [15] = 'kalèma bellâs',
    [16] = 'ka-ennâm bellâs',
    [17] = 'kapèttong bellâs',
    [18] = 'kabellu bellâs',
    [19] = 'kasangang bellâs'
}

local madord_tens_end  = {
	['kadu poloh']	= 20,
    ['kasalèkor'] = 21,
    ['kasaghemi`'] = 25,
	['katelllong poloh']	= 30,
	['ka-empa` poloh']	= 40,
	['saèket']	= 50,
	['sabidhâk']	= 60,
	['pèttong poloh']	= 70,
	['kabellung poloh']	= 80,
	['kasangang poloh']	= 90,
}

local mad_tens_cont = {
	['du poloh']	= 20,
    ['salèkor'] = 21,
    ['saghemi`'] = 25,
	['tello poloh']	= 30,
	['empa` poloh']	= 40,
	['saèket']	= 50,
	['sabidhâk']	= 60,
	['pèttong poloh']	= 70,
	['bellung poloh']	= 80,
	['sangang poloh']	= 90,
}

-- ngaobâ sa angkah Romawi valid (otabâ pan-brâmpan sè invalid) abhâdhu sa angkah. Marèngaghi -1, errorstring kalau error
local function roman_to_numeral(roman)
	if type(roman) ~= "string" then return -1, "lèbbhu'aghi angkah Romawi sè benni sabuwâh string" end
	local rev = roman:reverse()
	local raising = true
	local last = 0
	local result = 0
	for i = 1, #rev do
		local c = rev:sub(i, i)
		local next = roman_numerals[c]
		if next == nil then return -1, "angkah Romawi abirasah karakter sè ta' adukung" .. c end
		if next > last then
			result = result + next
			raising = true
		elseif next < last then
			result = result - next
			raising = false
		elseif raising then
			result = result + next
		else
			result = result - next
		end
		last = next
	end
	return result
end

-- Maobâ sa bilângan bunter antara 0 bân 100 ka dâlâm bhâsa Madhurâ (ompamana 47 -> empa` poloh pètto`)
local function numeral_to_madurese_less_100(num, zero)
    
    if num == 0 and zero ~= nil then
		return zero
	elseif num < 10 then
		return ones_position[num]
	elseif num % 10 == 0 then
		return numbers_position[num / 10] .. 'puluh'
	elseif math.floor(num / 10) == 1 and num ~= 10 then
		return numbers_position[num % 10] .. 'belas'
	else
		return numbers_position[math.floor(num / 10)] .. 'puluh ' .. ones_position[num % 10]
	end
end

local function standard_suffix(ordinal, plural)
	if ordinal then return 'ke' end
	if plural then return 'an' end
	return ''
end

-- Maobâ sa bilangan bunter (dâlâm dhângka` ca`-oca`) antara 0 bân 1000 ka dâlâm bhâsa Madhurâ (ompamana 47 -> empa` poloh pètto`)
local function numeral_to_madurese_less_1000(num, zero)
	num = tonumber(num)
	if num < 100 then
		return numeral_to_madurese_less_100(num, zero)
	elseif num % 100 == 0 then
		return numbers_position[num/100] .. 'ratus'
	else
		return numbers_position[math.floor(num/100)] .. 'ratus ' .. numeral_to_madurese_less_100(num % 100, zero)
	end
end

--------------- NOT WORKING PROPERLY, STARTS HERE ----------------
-- Converts an ordinal in madurese text from 'zeroth' to 'ninety-ninth' inclusive to a number [0–99], else -1.
local function madurese_to_ordinal(madurese)
	local mad = string.lower(madurese or '')

	local madord_lt20 = {} -- ones_position_ord{} keys & values swapped
	for k, v in pairs( ones_position_ord ) do
		madord_lt20[v] = k
	end

	if madord_lt20[mad] then
		return madord_lt20[mad] -- e.g. first -> 1
	elseif madord_tens_end[mad] then
		return madord_tens_end[mad] -- e.g. ninetieth -> 90
	else
		local tens, ones = string.match(mad, '^([a-z]+)[%s%-]+([a-z]+)$')
		if tens and ones then
			local tens_cont = mad_tens_cont[tens]
			local ones_end  = madord_lt20[ones]
			if tens_cont and ones_end then
				return tens_cont + ones_end -- e.g. ninety-ninth -> 99
			end
		end
	end
	return -1 -- Failed
end

-- Maobâ angkah ka dâlâm bhâsa Madhurâ molaè 'nol' kantos 'sangang poloh sanga`' [0–99], salaèn jâriya -1.
local function madurese_to_numeral(madurese)
	local mad = string.lower(madurese or '')

	local mad_lt20 = { ['single'] = 1 } -- ones_position{} keys & values swapped
	for k, v in pairs( ones_position ) do
		mad_lt20[v] = k
	end

	if mad_lt20[mad] then
		return mad_lt20[mad] -- e.g. one -> 1
	elseif mad_tens_cont[mad] then
		return mad_tens_cont[mad] -- e.g. ninety -> 90
	else
		local tens, ones = string.match(mad, '^([a-z]+)[%s%-]+([a-z]+)$')
		if tens and ones then
			local tens_cont = mad_tens_cont[tens]
			local ones_end  = mad_lt20[ones]
			if tens_cont and ones_end then
				return tens_cont + ones_end -- e.g. ninety-nine -> 99
			end
		end
	end
	return -1 -- Failed
end
--------------- NOT WORKING PROPERLY, ENDS HERE ----------------

-- Converts a number expressed as a string in scientific notation to a string in standard decimal notation
-- e.g. 1.23E5 -> 123000, 1.23E-5 = .0000123. Conversion is exact, no rounding is performed.
local function scientific_notation_to_decimal(num)
	local exponent, subs = num:gsub("^%-?%d*%.?%d*%-?[Ee]([+%-]?%d+)$", "%1")
	if subs == 0 then return num end -- Input benni dâlâm notasi ilmiah, sobung pangaobâ'ân
	exponent = tonumber(exponent)

	local negative = num:find("^%-")
	local _, decimal_pos = num:find("%.")
	-- Mantissa will consist of all decimal digits with no decimal point
	local mantissa = num:gsub("^%-?(%d*)%.?(%d*)%-?[Ee][+%-]?%d+$", "%1%2")
	if negative and decimal_pos then decimal_pos = decimal_pos - 1 end
	if not decimal_pos then decimal_pos = #mantissa + 1 end

	-- Remove leading zeros unless decimal point is in first position
	while decimal_pos > 1 and mantissa:sub(1,1) == '0' do
		mantissa = mantissa:sub(2)
		decimal_pos = decimal_pos - 1
	end
	-- Shift decimal point right for exponent > 0
	while exponent > 0 do
		decimal_pos = decimal_pos + 1
		exponent = exponent - 1
		if decimal_pos > #mantissa + 1 then mantissa = mantissa .. '0' end
		-- Remove leading zeros unless decimal point is in first position
		while decimal_pos > 1 and mantissa:sub(1,1) == '0' do
			mantissa = mantissa:sub(2)
			decimal_pos = decimal_pos - 1
		end
	end
	-- Shift decimal point left for exponent < 0
	while exponent < 0 do
		if decimal_pos == 1 then
			mantissa = '0' .. mantissa
		else
			decimal_pos = decimal_pos - 1
		end
		exponent = exponent + 1
	end

	-- Insert decimal point in correct position and return
	return (negative and '-' or '') .. mantissa:sub(1, decimal_pos - 1) .. '.' .. mantissa:sub(decimal_pos)
end

-- Rounds a number to the nearest integer (NOT USED)
local function round_num(x)
	if x%1 >= 0.5 then
		return math.ceil(x)
	else
		return math.floor(x)
	end
end

-- Rounds a number to the nearest two-word number (round = up, down, or "on" for round to nearest).
-- Numbers with two digits before the decimal will be rounded to an integer as specified by round.
-- Larger numbers will be rounded to a number with only one nonzero digit in front and all other digits zero.
-- Negative sign is preserved and does not count towards word limit.
local function round_for_madurese(num, round)
	-- If an integer with at most two digits, just return
	if num:find("^%-?%d?%d%.?$") then return num end

	local negative = num:find("^%-")
	if negative then
		-- We're rounding magnitude so flip it
		if round == 'up' then round = 'down' elseif round == 'down' then round = 'up' end
	end

	-- If at most two digits before decimal, round to integer and return
	local _, _, small_int, trailing_digits, round_digit = num:find("^%-?(%d?%d?)%.((%d)%d*)$")
	if small_int then
		if small_int == '' then small_int = '0' end
		if (round == 'up' and trailing_digits:find('[1-9]')) or (round == 'on' and tonumber(round_digit) >= 5) then
			small_int = tostring(tonumber(small_int) + 1)
		end
		return (negative and '-' or '') .. small_int
	end

	-- When rounding up, any number with > 1 nonzero digit will round up (e.g. 1000000.001 rounds up to 2000000)
	local nonzero_digits = 0
	for digit in num:gfind("[1-9]") do
		nonzero_digits = nonzero_digits + 1
	end

	num = num:gsub("%.%d*$", "") -- Remove decimal part
	-- Second digit used to determine which way to round lead digit
	local _, _, lead_digit, round_digit, round_digit_2, rest = num:find("^%-?(%d)(%d)(%d)(%d*)$")
	if tonumber(lead_digit .. round_digit) < 20 and (1 + #rest) % 3 == 0 then
		-- In madurese numbers < 20 are one word so put 2 digits in lead and round based on 3rd
		lead_digit = lead_digit .. round_digit
		round_digit = round_digit_2
	else
		rest = round_digit_2 .. rest
	end

	if (round == 'up' and nonzero_digits > 1) or (round == 'on' and tonumber(round_digit) >= 5) then
		lead_digit = tostring(tonumber(lead_digit) + 1)
	end
	-- All digits but lead digit will turn to zero
	rest = rest:gsub("%d", "0")
	return (negative and '-' or '') .. lead_digit .. '0' .. rest
end

local denominators = {
	[2] = { 'perduwâ`' },
	[3] = { 'pertello`' },
	[4] = { 'parapat' },
	[5] = { 'parlèma`' },
	[6] = { 'perennem' },
	[8] = { 'parpètto`' },
	[9] = { 'parsanga`' },
	[10] = { 'parsapoloh' },
	[16] = { 'pernembellâs' },
}

-- Return status, fraction where:
-- status is a string:
--     "finished" if there is a fraction with no whole number;
--     "ok" if fraction is empty or valid;
--     "unsupported" if bad fraction;
-- fraction is a string giving (numerator / denominator) as madurese text, or is "".
-- Only unsigned fractions with a very limited range of values are supported,
-- except that if whole is empty, the numerator can use "-" to indicate negative.
-- whole (string or nil): nil or "" if no number before the fraction
-- numerator (string or nil): numerator, if any (default = 1 if a denominator is given)
-- denominator (string or nil): denominator, if any
-- sp_us (boolean): true if sp=us
-- negative_word (string): word to use for negative sign, if whole is empty
-- use_one (boolean): false: 2+1/2 → "two and a half"; true: "two and one-half"
local function fraction_to_madurese(whole, numerator, denominator, sp_us, negative_word, use_one)
	if numerator or denominator then
		local finished = (whole == nil or whole == '')
		local sign = ''
		if numerator then
			if finished and numerator:sub(1, 1) == '-' then
				numerator = numerator:sub(2)
				sign = negative_word .. ' '
			end
		else
			numerator = '1'
		end
		if not numerator:match('^%d+$') or not denominator or not denominator:match('^%d+$') then
			return 'unsupported', ''
		end
		numerator = tonumber(numerator)
		denominator = tonumber(denominator)
		local dendata = denominators[denominator]
		if not (dendata and 1 <= numerator and numerator <= 99) then
			return 'unsupported', ''
		end
		local numstr, denstr
		local sep = '-'
		if numerator == 1 then
			denstr = sp_us and dendata.us or dendata[1]
			if finished or use_one then
				numstr = 'one'
			elseif denstr:match('^[aeiou]') then
				numstr = 'an'
				sep = ' '
			else
				numstr = 'a'
				sep = ' '
			end
		else
			numstr = numeral_to_madurese_less_100(numerator)
			denstr = dendata.plural
			if not denstr then
				denstr = (sp_us and dendata.us or dendata[1]) .. 's'
			end
		end
		if finished then
			return 'finished', sign .. numstr .. sep .. denstr
		end
		return 'ok', ' and ' .. numstr .. sep .. denstr
	end
	return 'ok', ''
end

-- Takes a decimal number and converts it to madurese text.
-- Return nil if a fraction cannot be converted (only some numbers are supported for fractions).
-- num (string or nil): the number to convert.
--      Can be an arbitrarily large decimal, such as "-123456789123456789.345", and
--      can use scientific notation (e.g. "1.23E5").
--      May fail for very large numbers not listed in "groups" such as "1E4000".
--      num is nil if there is no whole number before a fraction.
-- numerator (string or nil): numerator of fraction (nil if no fraction)
-- denominator (string or nil): denominator of fraction (nil if no fraction)
-- capitalize (boolean): whether to capitalize the result (e.g. 'One' instead of 'one')
-- use_and (boolean): whether to use the word 'and' between tens/ones place and higher places
-- hyphenate (boolean): whether to hyphenate all words in the result, useful as an adjective
-- ordinal (boolean): whether to produce an ordinal (e.g. 'first' instead of 'one')
-- plural (boolean): whether to pluralize the resulting number
-- links: nil: do not add any links; 'on': link "billion" and larger to Orders of magnitude article;
--        any other text: list of numbers to link (e.g. "billion,quadrillion")
-- negative_word: word to use for negative sign (typically 'negative' or 'minus'; nil to use default)
-- round: nil or '': no rounding; 'on': round to nearest two-word number; 'up'/'down': round up/down to two-word number
-- zero: word to use for value '0' (nil to use default)
-- use_one (boolean): false: 2+1/2 → "two and a half"; true: "two and one-half"
local function _numeral_to_madurese(num, numerator, denominator, capitalize, hyphenate, ordinal, plural, links, negative_word, round, zero, use_one)
	if not negative_word then
		negative_word = 'minus'
	end
	local status, fraction_text = fraction_to_madurese(num, numerator, denominator, negative_word, use_one)
	if status == 'unsupported' then
		return nil
	end
	if status == 'finished' then
		-- Input is a fraction with no whole number.
		-- Hack to avoid executing stuff that depends on num being a number.
		local s = fraction_text
		if hyphenate then s = s:gsub("%s", "-") end
		if capitalize then s = s:gsub("^%l", string.upper) end
		return s
	end
	num = scientific_notation_to_decimal(num)
	if round and round ~= '' then
		if round ~= 'on' and round ~= 'up' and round ~= 'down' then
			error("Invalid rounding mode")
		end
		num = round_for_madurese(num, round)
	end

	-- Separate into negative sign, num (digits before decimal), decimal_places (digits after decimal)
	local MINUS = '−'  -- Unicode U+2212 MINUS SIGN (may be in values from [[Module:Convert]])
	if num:sub(1, #MINUS) == MINUS then
		num = '-' .. num:sub(#MINUS + 1)  -- replace MINUS with '-'
	elseif num:sub(1, 1) == '+' then
		num = num:sub(2)  -- ignore any '+'
	end
	local negative = num:find("^%-")
	local decimal_places, subs = num:gsub("^%-?%d*%.(%d+)$", "%1")
	if subs == 0 then decimal_places = nil end
	num, subs = num:gsub("^%-?(%d*)%.?%d*$", "%1")
	if num == '' and decimal_places then num = '0' end
	if subs == 0 or num == '' then error("Invalid decimal numeral") end

	-- For each group of 3 digits except the last one, print with appropriate group name (e.g. million)
	local s = ''
	while #num > 3 do
		if s ~= '' then s = s .. ' ' end
		local group_num = math.floor((#num - 1) / 3)
		local group = groups[group_num]
		local group_digits = #num - group_num*3
        if group_num == 1 and num:sub(1, group_digits) == '1' then
            s = s .. 'se'
        else
		    s = s .. numeral_to_madurese_less_1000(num:sub(1, group_digits), false, false, false, zero) .. ' '
        end
		if links and (((links == 'on' and group_num >= 3) or links:find(group)) and group_num <= 13) then
			s = s .. '[[Orders_of_magnitude_(numbers)#10' .. group_num*3 .. '|' .. group .. ']]'
		else
			s = s .. group
		end
		num = num:sub(1 + group_digits)
		num = num:gsub("^0*", "")  -- Trim leading zeros
	end

	-- Handle final three digits of integer part
	if s ~= '' and num ~= '' then
		s = s .. ' '
	end
	if s == '' or num ~= '' then
		s = s .. numeral_to_madurese_less_1000(num, zero)
	elseif plural then
		-- Round numbers like "one million" take standard suffixes for ordinal/plural
		s = s .. standard_suffix(ordinal, plural)
    elseif ordinal then
		s = standard_suffix(ordinal, plural) .. s
	end

	-- For decimal places (if any) output "point" followed by spelling out digit by digit
	if decimal_places then
		s = s .. ' koma'
		for i = 1, #decimal_places do
			s = s .. ' ' .. ones_position[tonumber(decimal_places:sub(i,i))]
		end
	end

	s = s:gsub("^%s*(.-)%s*$", "%1")   -- Trim whitespace
	if ordinal and plural then s = s .. 's' end  -- s suffix works for all ordinals
	if negative and s ~= zero then s = negative_word .. ' ' .. s end
	s = s:gsub("negative zero", "zero")
	s = s .. fraction_text
	if hyphenate then s = s:gsub("%s", "-") end
	if capitalize then s = s:gsub("^%l", string.upper) end
	return s
end

local function _numeral_to_madurese2(args)
	local num = tostring(args.num)

	num = num:gsub("^%s*(.-)%s*$", "%1")   -- Trim whitespace
	num = num:gsub(",", "")   -- Remove commas
	num = num:gsub("^<span[^<>]*></span>", "") -- Generated by Template:age
	if num ~= '' then  -- a fraction may have an empty whole number
		if not num:find("^%-?%d*%.?%d*%-?[Ee]?[+%-]?%d*$") then
			-- Input not in a valid format, try to eval it as an expr to see
			-- if that produces a number (e.g. "3 + 5" will become "8").
			local noerr, result = pcall(mw.ext.ParserFunctions.expr, num)
			if noerr then
				num = result
			end
		end
	end

	-- Pass args from frame to helper function
	return _numeral_to_madurese(
		num,
		args['numerator'],
		args['denominator'],
		args['capitalize'],
		args['use_and'],
		args['hyphenate'],
		args['ordinal'],
		args['plural'],
		args['links'],
		args['negative_word'],
		args['round'],
		args['zero'],
		args['use_one']
	) or ''
end

local p = {  -- Functions that can be called from another module
	roman_to_numeral = roman_to_numeral,
	spell_number = _numeral_to_madurese,
	spell_number2 = _numeral_to_madurese2,
	madurese_to_ordinal = madurese_to_ordinal,
	madurese_to_numeral = madurese_to_numeral,
}

function p._roman_to_numeral(frame) -- Callable via {{#invoke:ConvertNumeric|_roman_to_numeral|VI}}
	return roman_to_numeral(frame.args[1])
end

function p._madurese_to_ordinal(frame) -- callable via {{#invoke:ConvertNumeric|_madurese_to_ordinal|First}}
	return madurese_to_ordinal(frame.args[1])
end

function p._madurese_to_numeral(frame) -- callable via {{#invoke:ConvertNumeric|_madurese_to_numeral|One}}
	return madurese_to_numeral(frame.args[1])
end

function p.numeral_to_madurese(frame)
	local args = frame.args
	-- Tail call to helper function passing args from frame
	return _numeral_to_madurese2{
		['num'] = args[1],
		['numerator'] = args['numerator'],
		['denominator'] = args['denominator'],
		['capitalize'] = args['case'] == 'U' or args['case'] == 'u',
		['hyphenate'] = args['adj'] == 'on',
		['ordinal'] = args['ord'] == 'on',
		['plural'] = args['pl'] == 'on',
		['links'] = args['lk'],
		['negative_word'] = args['negative'],
		['round'] = args['round'],
		['zero'] = args['zero'],
		['use_one'] = args['one'] == 'one'  -- experiment: using '|one=one' makes fraction 2+1/2 give "two and one-half" instead of "two and a half"
	}
end

---- recursive function for p.decToHex
local function decToHexDigit(dec)
	local dig = {"0","1","2","3","4","5","6","7","8","9","A","B","C","D","E","F"}
	local div = math.floor(dec/16)
	local mod = dec-(16*div)
	if div >= 1 then return decToHexDigit(div)..dig[mod+1] else return dig[mod+1] end
end -- I think this is supposed to be done with a tail call but first I want something that works at all

---- finds all the decimal numbers in the input text and hexes each of them
function p.decToHex(frame)
	local args=frame.args
	local parent=frame.getParent(frame)
	local pargs={}
	if parent then pargs=parent.args end
	local text=args[1] or pargs[1] or ""
	local minlength=args.minlength or pargs.minlength or 1
	minlength=tonumber(minlength)
	local prowl=mw.ustring.gmatch(text,"(.-)(%d+)")
	local output=""
	repeat
		local chaff,dec=prowl()
		if not(dec) then break end
		local hex=decToHexDigit(dec)
		while (mw.ustring.len(hex)<minlength) do hex="0"..hex end
		output=output..chaff..hex
	until false
	local chaff=mw.ustring.match(text,"(%D+)$") or ""
	return output..chaff
end

return p