local export = {numbers = {}}
local m_numutils = require("Module:number list/utils")
local map = m_numutils.map
local power_of = m_numutils.power_of
export.additional_number_types = {
{key = "group"},
}
local numbers = export.numbers
local function make_number(num, cardinal, ordinal, wplink, fractional)
local numstr = m_numutils.format_fixed(num)
local thousands_numstr = #numstr < 10 and m_numutils.add_thousands_separator(numstr, ".") or nil
if not fractional or fractional == true then
-- exceptions to the following rules need to be given explicitly
if num == 0 or num == 1 then
-- no fractional
elseif type(num) == "number" and num <= 10 then
fractional = ordinal
else
local avos_form = map(function(card)
if not card:find("%[") then
card = ("[[%s]]"):format(card)
end
return ("%s [[avo]]s"):format(card)
end, cardinal)
if fractional == true then
-- both ordinal and cardinal + avos are possible
local combined = {}
local function insert_one_or_more(els)
if type(els) == "table" then
for _, el in ipairs(els) do
table.insert(combined, el)
end
else
table.insert(combined, els)
end
end
insert_one_or_more(ordinal)
insert_one_or_more(avos_form)
fractional = combined
else
fractional = avos_form
end
end
end
numbers[num] = {
cardinal = cardinal,
ordinal = ordinal,
ordinal_abbr = thousands_numstr and {thousands_numstr .. ".º"} or nil,
fractional = fractional,
wplink = wplink,
}
end
make_number(0, "zero", "zerésimo", "0 (número)")
make_number(1, "um", "primeiro", "um")
numbers[1].multiplier = {"único", "singular"}
make_number(2, "dois", "segundo", "dois", {"meio", "metade"})
numbers[2].multiplier = {"dobro", "duplo"}
numbers[2].group = {"dupla", "par", "duo"}
make_number(3, "três", "terceiro", "três", "terço")
numbers[3].multiplier = {"triplo", "tríplice"}
numbers[3].group = {"trio", "trinca", "terceto", "tríade"}
make_number(4, "quatro", "quarto", "quatro")
numbers[4].multiplier = "quádruplo"
numbers[4].group = "quarteto"
make_number(5, "cinco", "quinto", "cinco")
numbers[5].multiplier = "quíntuplo"
numbers[5].group = "quinteto"
make_number(6, "seis", "sexto", "seis")
numbers[6].multiplier = "sêxtuplo"
numbers[6].group = "sexteto"
make_number(7, "sete", "sétimo", "sete")
numbers[7].multiplier = {"sétuplo", "séptuplo"}
numbers[7].group = "septeto"
make_number(8, "oito", "oitavo", "oito")
numbers[8].multiplier = "óctuplo"
numbers[8].group = "octeto"
make_number(9, "nove", {"nono", "noveno"}, "nove")
numbers[9].multiplier = {"nônuplo<tag:Brazil>", "nónuplo<tag:Portugal>"}
numbers[9].group = "noneto"
make_number(10, "dez", "décimo", "dez")
numbers[10].multiplier = "décuplo"
make_number(11, "onze", {"décimo primeiro", "undécimo"}, nil, {"undécimo", "[[onze]] [[avo]]s"})
numbers[11].multiplier = "undécuplo"
make_number(12, "doze", {"décimo segundo", "duodécimo"}, nil, {"duodécimo", "[[doze]] [[avo]]s"})
numbers[12].multiplier = "duodécuplo"
make_number(13, "treze", "décimo terceiro", "treze")
make_number(14, {"catorze", "quatorze"}, "décimo quarto", "catorze")
make_number(15, "quinze", "décimo quinto")
make_number(16, {"dezesseis<tag:Brazil>", "dezasseis<tag:Portugal>"}, "décimo sexto")
make_number(17, {"dezessete<tag:Brazil>", "dezassete<tag:Portugal>"}, "décimo sétimo", "17 (número)")
make_number(18, "dezoito", "décimo oitavo", "dezoito")
make_number(19, {"dezenove<tag:Brazil>", "dezanove<tag:Portugal>"}, "décimo nono")
for i, vals in ipairs {
{ "vinte", "vigésimo" },
{ "trinta", "trigésimo" },
{ "quarenta", "quadragésimo" },
{ "cinquenta", "quinquagésimo" },
{ "sessenta", "sexagésimo" },
{ "setenta", {"septuagésimo", "setuagésimo"}, },
{ "oitenta", "octogésimo" },
{ "noventa", "nonagésimo" },
} do
local tens = (i + 1) * 10
local tens_cardinal, tens_ordinal = unpack(vals)
local function has_wplink(num)
-- random collection of numbers with Portuguese Wikipedia entries; update as appropriate
return num == 23 or num == 25 or num == 30 or num == 35 or num == 36 or num == 37
end
-- true here means both ordinal and cardinal + avos are possible fractional forms
make_number(tens, tens_cardinal, tens_ordinal, has_wplink(tens) and tens_cardinal or nil, true)
for ones = 1, 9 do
local num = tens + ones
local ones_numeral = numbers[ones]
local ones_ordinal = ones_numeral.ordinal
if ones == 9 then
ones_ordinal = "nono"
end
local cardinal = tens_cardinal .. " e " .. ones_numeral.cardinal
-- Use map() because of 70th.
local ordinal = map(function(tens_ord) return tens_ord .. " " .. ones_ordinal end, tens_ordinal)
local wplink = has_wplink(num) and tens_cardinal or nil
make_number(num, cardinal, ordinal, wplink)
end
end
-- Ordinals from https://www.normaculta.com.br/numerais-ordinais/
-- Fractionals from https://www.normaculta.com.br/numerais-fracionarios/
-- Note that the above site says 1/100 = only "um centésimo", but in fact "um cem avos" is also common and endorsed by
-- other sites such as http://www.uel.br/projetos/matessencial/basico/fundamental/fracoes.html
make_number(100, {"cem<q:alone or followed by a noun or higher numeral>", "cento<q:followed by a lower numeral>"}, "centésimo", nil, {"centésimo", "[[cem]] [[avo]]s"})
numbers[100].multiplier = "cêntuplo"
make_number(200, "duzentos", "ducentésimo", nil, true)
make_number(300, "trezentos", {"trecentésimo", "tricentésimo"}, nil, true)
make_number(400, "quatrocentos", "quadringentésimo", nil, true)
make_number(500, "quinhentos", "quingentésimo", "quinhentos", true)
make_number(600, "seiscentos", {"sexcentésimo", "seiscentésimo"}, "seiscentos", true)
make_number(700, "setecentos", {"septingentésimo", "setingentésimo"}, "setecentos", true)
make_number(800, "oitocentos", "octingentésimo", nil, true)
make_number(900, "novecentos", {"noningentésimo", "nongentésimo"}, "novecentos", true)
make_number(1000, "mil", "milésimo", nil, true)
make_number(10000, "[[dez]] [[mil]]", {"[[décimo]] [[milésimo]]", "[[décimo]] [[de]] [[milésimo]]"}, "dez mil", true)
make_number(100000, "[[cem]] [[mil]]", {"[[centésimo]] [[milésimo]]", "[[centésimo]] [[de]] [[milésimo]]"}, nil, true)
make_number(1000000, "[[um]] [[milhão]]<link:milhão>", "milionésimo", "milhão", true)
make_number(10000000, "[[dez]] [[milhão|milhões]]", {"[[décimo]] [[milionésimo]]", "[[décimo]] [[de]] [[milionésimo]]"}, nil, true)
make_number(100000000, "[[cem]] [[milhão|milhões]]", {"[[centésimo]] [[milionésimo]]", "[[centésimo]] [[de]] [[milionésimo]]"}, nil, true)
make_number(power_of(9), {"[[mil]] [[milhão|milhões]]<tag:everywhere but Brazil>", "[[um]] [[bilhão]]<link:bilhão><tag:Brazil>"}, {"bilionésimo<tag:Brazil>", "[[milésimo]] [[milionésimo]]<tag:Portugal>", "[[milésimo]] [[de]] [[milionésimo]]<tag:Portugal>"},
"1 000 000 000", true)
make_number(power_of(12), {"[[um]] [[bilião]]<link:bilião><tag:everywhere but Brazil>", "[[um]] [[trilhão]]<link:trilhão><tag:Brazil>"}, {"trilionésimo<tag:Brazil>", "bilionésimo<tag:Portugal>"},
"1 000 000 000 000", true)
make_number(power_of(15), {"[[mil]] [[bilião|biliões]]<tag:everywhere but Brazil>", "[[um]] [[quatrilhão]]<link:quatrilhão><tag:Brazil>", "[[um]] [[quadrilhão]]<link:quadrilhão><tag:Brazil>"}, {"quatrilionésimo<tag:Brazil>", "quadrilionésimo<tag:Brazil>", "[[milésimo]] [[bilionésimo]]<tag:Portugal>", "[[milésimo]] [[de]] [[bilionésimo]]<tag:Portugal>"},
"1000000000000000", true)
make_number(power_of(18), {"[[um]] [[trilião]]<link:trilião><tag:everywhere but Brazil>", "[[um]] [[quintilhão]]<link:quintilhão><tag:Brazil>"}, {"quintilionésimo<tag:Brazil>", "trilionésimo<tag:Portugal>"},
"1000000000000000000", true)
make_number(power_of(21), {"[[mil]] [[trilião|triliões]]<tag:everywhere but Brazil>", "[[um]] [[sextilhão]]<link:sextilhão><tag:Brazil>"}, {"sextilionésimo<tag:Brazil>", "[[milésimo]] [[trilionésimo]]<tag:Portugal>", "[[milésimo]] [[de]] [[trilionésimo]]<tag:Portugal>"},
nil, true)
make_number(power_of(24), {"[[um]] [[quatrilião]]<link:quatrilião><tag:everywhere but Brazil>", "[[um]] [[quadrilião]]<link:quadrilião><tag:everywhere but Brazil>", "[[um]] [[septilhão]]<link:septilhão><tag:Brazil>"}, {"septilionésimo<tag:Brazil>", "quatrilionésimo<tag:Portugal>", "quadrilionésimo<tag:Portugal>"},
nil, true)
make_number(power_of(27), {"[[mil]] [[quatrilião|quatriliões]]<tag:everywhere but Brazil>", "[[mil]] [[quadrilião|quadriliões]]<tag:everywhere but Brazil>", "[[um]] [[octilhão]]<link:octilhão><tag:Brazil>"}, {"octilionésimo<tag:Brazil>", "[[milésimo]] [[quatrilionésimo]]<tag:Portugal>", "[[milésimo]] [[quadrilionésimo]]<tag:Portugal>", "[[milésimo]] [[de]] [[quatrilionésimo]]<tag:Portugal>", "[[milésimo]] [[de]] [[quadrilionésimo]]<tag:Portugal>"},
nil, true)
make_number(power_of(30), {"[[um]] [[quintilião]]<link:quintilião><tag:everywhere but Brazil>", "[[um]] [[nonilhão]]<link:nonilhão><tag:Brazil>"}, {"nonilionésimo<tag:Brazil>", "quintilionésimo<tag:Portugal>"},
nil, true)
return export
