Modul:ConvertNumeric
Dokuméntasi antuk modul puniki prasida kakardi ring Modul:ConvertNumeric/doc
-- Module for converting between different representations of numbers. See talk page for user documentation.
-- For unit tests see: [[:en:Module:ConvertNumeric/tests]]
-- When editing, preview with: [[:en:Module_talk:ConvertNumeric/testcases]]
-- First, edit [[:en:Module:ConvertNumeric/sandbox]], then preview with [[:en:Module_talk:ConvertNumeric/sandbox/testcases]]
local ones_position = {
[0] = 'windu',
[1] = 'besik',
[2] = 'dadua',
[3] = 'telu',
[4] = 'papat',
[5] = 'lima',
[6] = 'nenem',
[7] = 'pitu',
[8] = 'kutus',
[9] = 'sia',
[10] = 'dasa',
[11] = 'solas',
[12] = 'rolas',
[13] = 'telulas',
[14] = 'patbelas',
[15] = 'limolas',
[16] = 'nembelas',
[17] = 'pitulas',
[18] = 'pelekutus',
[19] = 'siangolas'
}
local ones_position_ord = {
[0] = 'ka-windu',
[1] = 'kapertama',
[2] = 'kadadua',
[3] = 'katelu',
[4] = 'kapapat',
[5] = 'kalima',
[6] = 'kanenem',
[7] = 'kapitu',
[8] = 'karolas',
[9] = 'kasia',
[10] = 'kadasa',
[11] = 'kasolas',
[12] = 'karolas',
[13] = 'katelulas',
[14] = 'kapatbelas',
[15] = 'kalimolas',
[16] = 'kanembelas',
[17] = 'kapitulas',
[18] = 'kapelekutus',
[19] = 'kasiangolas'
}
local ones_position_plural = {
[0] = 'nolan',
[1] = 'abesik',
[2] = 'duang',
[3] = 'tigang',
[4] = 'petang',
[5] = 'limang',
[6] = 'enaman',
[7] = 'tujuhan',
[8] = 'delapanan',
[9] = 'sembilanan',
[10] = 'sepuluhan',
[11] = 'sebelasan',
[12] = 'dua belasan',
[13] = 'tiga belasan',
[14] = 'empat belasan',
[15] = 'lima belasan',
[16] = 'enam belasan',
[17] = 'tujuh belasan',
[18] = 'delapan belasan',
[19] = 'sembilan belasan'
}
local tens_position = {
[2] = 'duang dasa',
[3] = 'tigang dasa',
[4] = 'petang dasa',
[5] = 'seket',
[6] = 'nem dasa',
[7] = 'pitung dasa',
[8] = 'wolung dasa',
[9] = 'siang dasa',
[10]= 'satus'
}
local tens_position_ord = {
[2] = 'kaduang dasa',
[3] = 'katigang dasa',
[4] = 'kapetang dasa',
[5] = 'kaseket',
[6] = 'kanem dasa',
[7] = 'kapitung dasa',
[8] = 'kawolung dasa',
[9] = 'kasiang dasa',
}
local tens_position_plural = {
[2] = 'dua puluhan',
[3] = 'tiga puluhan',
[4] = 'empat puluhan',
[5] = 'lima puluhan',
[6] = 'enam puluhan',
[7] = 'tujuh puluhan',
[8] = 'delapan puluhan',
[9] = 'sembilan puluhan'
}
local groups = {
[1] = 'tali',
[2] = 'yuta',
[3] = 'milyar',
[4] = 'triliun',
[5] = 'quadriliun',
[6] = 'quintiliun',
[7] = 'sekstiliun',
[8] = 'septiliun',
[9] = 'oktiliun',
[10] = 'noniliun',
[11] = 'desiliun',
[12] = 'undesiliun',
[13] = 'duodesiliun',
[14] = 'tredesiliun',
[15] = 'quattuordesiliun',
[16] = 'quindesiliun',
[17] = 'seksdesiliun',
[18] = 'septendesiliun',
[19] = 'oktodesiliun',
[20] = 'novemdesiliun',
[21] = 'vigintiliun',
[22] = 'unvigintiliun',
[23] = 'duovigintiliun',
[24] = 'tresvigintiliun',
[25] = 'quattuorvigintiliun',
[26] = 'quinquavigintiliun',
[27] = 'sesvigintiliun',
[28] = 'septemvigintiliun',
[29] = 'octovigintiliun',
[30] = 'novemvigintiliun',
[31] = 'trigintiliun',
[32] = 'untrigintiliun',
[33] = 'duotrigintiliun',
[34] = 'trestrigintiliun',
[35] = 'quattuortrigintiliun',
[36] = 'quinquatrigintiliun',
[37] = 'sestrigintiliun',
[38] = 'septentrigintiliun',
[39] = 'octotrigintiliun',
[40] = 'noventrigintiliun',
[41] = 'quadragintiliun',
[51] = 'quinquagintiliun',
[61] = 'sexagintiliun',
[71] = 'septuagintiliun',
[81] = 'octogintiliun',
[91] = 'nonagintiliun',
[101] = 'sentiliun',
[102] = 'unsentiliun',
[103] = 'duosentillion',
[104] = 'tresentiliun',
[111] = 'desisentiliun',
[112] = 'undesisentiliun',
[121] = 'vigintisentiliun',
[122] = 'unvigintisentiliun',
[131] = 'trigintasentiliun',
[141] = 'quadragintasentiliun',
[151] = 'quinquagintasentiliun',
[161] = 'sexagintasentiliun',
[171] = 'septuagintasentiliun',
[181] = 'octogintasentiliun',
[191] = 'nonagintasentiliun',
[201] = 'ducentillion',
[301] = 'trecentillion',
[401] = 'quadringentillion',
[501] = 'quingentillion',
[601] = 'sescentillion',
[701] = 'septingentillion',
[801] = 'octingentillion',
[901] = 'nongentillion',
[1001] = 'millinillion',
}
roman_numerals = {
I = 1,
V = 5,
X = 10,
L = 50,
C = 100,
D = 500,
M = 1000
}
-- Mengubah suatu angka Romawi valid (atau beberapa yang invalid) menjadi suatu angka. Memberikan -1, errorstring kalau error
function roman_to_numeral(roman)
if type(roman) ~= "string" then return -1, "angka Romawi bukan suatu 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, "angka Romawi memuat kesalahan karakter " .. 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
-- Uah wilangan bunter antara 0 lan 100 ring basa Bali (contone 47 -> petang dasa pitu)
function numeral_to_bali_less_100(num, ordinal, plural)
local terminal_ones, terminal_tens
if ordinal then
terminal_ones = ones_position
terminal_tens = tens_position_ord
elseif plural then
terminal_ones = ones_position_plural
terminal_tens = tens_position_ord
else
terminal_ones = ones_position
terminal_tens = tens_position
end
if num < 20 then
return terminal_ones[num]
elseif num % 10 == 0 then
return terminal_tens[num / 10]
else
return tens_position[math.floor(num / 10)] .. ' ' .. terminal_ones[num % 10]
end
end
function standard_suffix(ordinal, plural)
if ordinal then return ' ' end
if plural then return ' ' end
return ''
end
-- Uah wilangan bunter (dalam bentuk kata-kata) antara 0 lan 1000 ring basa Bali (contone 47 -> petang dasa pitu)
function numeral_to_bali_less_1000(num, use_and, ordinal, plural)
num = tonumber(num)
if num < 100 then
return numeral_to_bali_less_100(num, ordinal, plural)
elseif num % 100 == 0 then
if num == 100 then
return 'satus'
else
return ones_position[num/100] .. ' ngatus' .. standard_suffix(ordinal, plural)
end
else
if math.floor(num/100) == 1 then
return 'satus ' .. (use_and and '' or '') .. numeral_to_bali_less_100(num % 100, plural)
else
return ones_position[math.floor(num/100)] .. ' ngatus ' .. (use_and and '' or '') .. numeral_to_bali_less_100(num % 100, plural)
end
end
end
-- 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.
function scientific_notation_to_decimal(num)
local exponent, subs = num:gsub("^%-?%d*%.?%d*%-?[Ee]([+%-]?%d+)$", "%1")
if subs == 0 then return num end -- Input bukan dalam notasi ilmiah, tidak ada perubahan
exponent = tonumber(exponent)
local negative = num:find("^%-")
_, decimal_pos = num:find("%.")
-- Mantissa terdiri dari semua angka desimal tanpa koma
local mantissa = num:gsub("^%-?(%d*)%.?(%d*)%-?[Ee][+%-]?%d+$", "%1%2")
if negative and decimal_pos then decimal_pos = decimal_pos - 1 end
if not decimal_pos then decimal_pos = #mantissa + 1 end
local prev_len = #num
-- 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
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.
function round_for_english(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
local small_int_len = #small_int
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 English 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
-- Takes a decimal number and converts it ke dalam bahasa Indonesia.
-- num (string): the number to convert. Can be 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".
-- 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 for use 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')
-- round: nil or '': no rounding; 'on': round to nearest two-word number; 'up'/'down': round up/down to two-word number
function _numeral_to_bali(num, capitalize, use_and, hyphenate, ordinal, plural, links, negative_word, round)
num = scientific_notation_to_decimal(num)
if round and round ~= '' and round ~= 'on' and round ~= 'up' and round ~= 'down' then return 'Mode pembulatan invalid' end
if round and round ~= '' then num = round_for_english(num, round) end
-- Pisahkan tanda negatif, num (digit sebelum desimal), decimal_places (digit setelah desimal)
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 return 'Angka desimal invalid' end
-- For each group of 3 digits except the last one, print with appropriate group name (e.g. juta)
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
s = s .. numeral_to_bali_less_1000(num:sub(1, group_digits), false, false, false) .. ' '
if ((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*", "") -- Hilangkan angka nol di depan
end
-- Handle final three digits of integer part
if s ~= '' and num ~= '' then
if #num > 2 or omit_and then
s = s .. ' '
else
s = s .. ' dan '
end
end
if s == '' or num ~= '' then
s = s .. numeral_to_bali_less_1000(num, use_and, ordinal, plural)
elseif ordinal or plural then
-- Round numbers like "one million" take standard suffixes for ordinal/plural
s = s .. standard_suffix(ordinal, plural)
end
-- For decimal places (if any) output "point" followed by spelling out digit by digit
if decimal_places then
s = s .. ' point'
for i = 1, #decimal_places do
s = s .. ' ' .. ones_position[tonumber(decimal_places:sub(i,i))]
end
end
s = s:gsub("^%s*(.-)%s*$", "%1") -- Trim whitespace
if ordinal and plural then s = s .. 's' end -- s suffix works for all ordinals
if negative and s ~= 'zero' then s = negative_word .. ' ' .. s end
if hyphenate then s = s:gsub("%s", "-") end
if capitalize then s = s:gsub("^%l", string.upper) end
return s
end
local p = {}
function p.numeral_to_bali(frame)
local num = frame.args[1]
num = num:gsub("^%s*(.-)%s*$", "%1") -- Trim whitespace
num = num:gsub(",", "") -- Hilangkan koma
if not num:find("^%-?%d*%.?%d*%-?[Ee]?[+%-]?%d*$") then
-- Input not in a valid format, try to pass it through #expr to see if that produces a number
-- (e.g. "3 + 5" will become 8)
num = frame:preprocess('{{#expr: ' .. num .. '}}')
end
-- Convert all args passed through frame into normal arguments to helper function
local case = frame.args['case']
local sp = frame.args['sp']
local adj = frame.args['adj']
local ord = frame.args['ord']
local pl = frame.args['pl']
local lk = frame.args['lk'] or ''
local negative = frame.args['negative'] or 'negative'
local round = frame.args['round'] or nil
return _numeral_to_bali(num, case == 'U' or case == 'u', sp ~= 'us', adj == 'on', ord == 'on', pl == 'on', lk, negative, round)
end
---- recursive function for p.decToHex
function decToHexDigit(dec)
local dig = {"0","1","2","3","4","5","6","7","8","9","A","B","C","D","E","F"}
local div = math.floor(dec/16)
local mod = dec-(16*div)
if div >= 1 then return decToHexDigit(div)..dig[mod+1] else return dig[mod+1] end
end -- I think this is supposed to be done with a tail call but first I want something that works at all
---- finds all the decimal numbers in the input text and hexes each of them
function p.decToHex(frame)
local args=frame.args
local parent=frame.getParent(frame)
local pargs={}
if parent then pargs=parent.args end
local text=args[1] or pargs[1] or ""
local minlength=args.minlength or pargs.minlength or 1
minlength=tonumber(minlength)
prowl=mw.ustring.gmatch(text,"(.-)(%d+)")
local output=""
repeat
local chaff,dec=prowl()
if not(dec) then break end
local hex=decToHexDigit(dec)
while (mw.ustring.len(hex)<minlength) do hex="0"..hex end
output=output..chaff..hex
until false
local chaff=mw.ustring.match(text,"(%D+)$") or ""
return output..chaff
end
return p