Module:number list/data/fr
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This module contains data on various types of numbers in French.
(edit)
local export = {numbers = {}}
local m_numutils = require("Module:number list/utils")
local map = m_numutils.map
local power_of = m_numutils.power_of
local numbers = export.numbers
local rfind = mw.ustring.find
local rsubn = mw.ustring.gsub
-- version of rsubn() that discards all but the first return value
local function rsub(term, foo, bar)
local retval = rsubn(term, foo, bar)
return retval
end
local function add_ordinal_suffix(term)
if rfind(term, "f$") then
return rsub(term, "f$", "vième") -- neuf -> neuvième
elseif rfind(term, "q$") then
return term .. "uième" -- cinq -> cinquième
elseif rfind(term, "ts$") then
return rsub(term, "s$", "ième") -- quatre-vingts -> quatre-vingtième
else
return rsub(term, "e$", "") .. "ième" -- quatre -> quatrième, trois -> troisième
end
end
local function make_number(num, cardinal, ordinal, multiplier, wplink)
local numstr = m_numutils.format_fixed(num)
local with_thousands = #numstr < 10 and m_numutils.add_thousands_separator(numstr, " ") or nil
numbers[num] = {
cardinal = cardinal,
ordinal = ordinal or map(function (card) return add_ordinal_suffix(card) end, cardinal),
-- FIXME, should use superscript e
ordinal_abbr = with_thousands and {with_thousands .. "e", with_thousands .. "ème<q:now nonstandard>"} or nil,
multiplier = multiplier,
wplink = wplink or type(num) == "number" and num < 1000000 and num .. " (nombre)" or nil,
}
end
make_number(0, "zéro")
numbers[1] = {
cardinal = "un",
ordinal = "premier",
ordinal_abbr = "1er",
fractional = "entier",
multiplier = "simple",
wplink = "1 (nombre)",
}
numbers[2] = {
cardinal = "deux",
ordinal = {"deuxième", "second"},
ordinal_abbr = {"2e", "2d", "2ème<q:nonstandard>"},
fractional = {"demi", "moitié"},
multiplier = "double",
wplink = "2 (nombre)",
}
numbers[3] = {
cardinal = "trois",
ordinal = "troisième",
ordinal_abbr = {"3e", "3ème<q:nonstandard>"},
fractional = "tiers",
multiplier = "triple",
wplink = "3 (nombre)",
}
numbers[4] = {
cardinal = "quatre",
ordinal = "quatrième",
ordinal_abbr = {"4e", "4ème<q:nonstandard>"},
fractional = "quart",
multiplier = "quadruple",
wplink = "4 (nombre)",
}
make_number(5, "cinq", nil, "quintuple")
make_number(6, "six", nil, "sextuple")
make_number(7, "sept", nil, "septuple")
make_number(8, "huit", nil, "octuple")
make_number(9, "neuf", nil, "nonuple")
make_number(10, "dix", nil, "décuple")
-- Generate numbers from 11 through 19.
for i, teen in ipairs { "onze", "douze", "treize", "quatorze", "quinze", "seize",
"dix-sept", "dix-huit", "dix-neuf" } do
make_number(i + 10, teen)
end
-- Generate even multiples of 10 from 20 through 90.
for i, ten_multiple in ipairs { "vingt", "trente", "quarante", "cinquante", "soixante",
{"soixante-dix<tag:vigesimal>", "septante<tag:decimal>"},
{"quatre-vingts<tag:vigesimal>", "huitante<tag:decimal>", "octante<tag:decimal>"},
{"quatre-vingt-dix<tag:vigesimal>", "nonante<tag:decimal>"},
} do
make_number((i + 1) * 10, ten_multiple)
end
-- Generate numbers from 21 through 99, other than even multiples of ten.
for tens = 20, 90, 10 do
for ones = 1, 9 do
local num = tens + ones
-- Generate the cardinal given the cardinal form for the tens (e.g. "trente", "septante", "quatre-vingt-dix",
-- etc.). There are several special cases:
-- (1) soixante and quatre-vingts are vigesimal, hence 72 = soixante-douze, 92 = quatre-vingt-douze.
-- (2) -et- is inserted before "un" and "onze", but not after quatre-vingts.
-- (3) quatre-vingts changes to quatre-vingt- before a ones numeral.
local function generate_cardinal(tens_cardinal)
local ones_cardinal
tens_cardinal = rsub(tens_cardinal, "%-dix$", "") -- chop off -dix from vigesimal 70 and 90
tens_cardinal = rsub(tens_cardinal, "ts$", "t") -- quatre-vingts -> quatre-vingt
if tens_cardinal == "soixante" or tens_cardinal == "quatre-vingt" then
-- vigesimal
ones_cardinal = numbers[num % 20].cardinal
else
ones_cardinal = numbers[ones].cardinal
end
if ones == 1 and tens_cardinal ~= "quatre-vingt" or ones == 11 and tens_cardinal == "soixante" then
return {("%s et %s<tag:traditional spelling>"):format(tens_cardinal, ones_cardinal),
("%s-et-%s<tag:post-1990 spelling>"):format(tens_cardinal, ones_cardinal)}
else
return tens_cardinal .. "-" .. ones_cardinal
end
end
local cardinal = map(generate_cardinal, numbers[tens].cardinal)
make_number(num, cardinal)
end
end
make_number(100, "cent", nil, "centuple")
-- Generate 200 through 900 by 100.
for i = 200, 900, 100 do
local base = i / 100
local base_cardinal = numbers[base].cardinal
make_number(i,
{base_cardinal .. " cents<tag:traditional spelling>", base_cardinal .. "-cents<tag:post-1990 spelling>"},
{base_cardinal .. " centième<tag:traditional spelling>", base_cardinal .. "-centième<tag:post-1990 spelling>"}
)
end
make_number(1000, "mille")
-- Generate 2000 through 10000 by 1000.
for i = 2000, 10000, 1000 do
local base = i / 1000
local base_cardinal = numbers[base].cardinal
make_number(i,
{base_cardinal .. " mille<tag:traditional spelling>", base_cardinal .. "-mille<tag:post-1990 spelling>"},
{base_cardinal .. " millième<tag:traditional spelling>", base_cardinal .. "-millième<tag:post-1990 spelling>"}
)
end
make_number(100000, {"cent mille<tag:traditional spelling>", "cent-mille<tag:post-1990 spelling>"},
{"cent millième<tag:traditional spelling>", "cent-millième<tag:post-1990 spelling>"})
make_number(1000000, "[[un]] [[million]]<link:million>", "millionième", nil, "million")
make_number(2000000, "[[deux]] [[million]]s", {"deux millionième<tag:traditional spelling>", "deux-millionième<tag:post-1990 spelling>"})
make_number(power_of(9), "[[un]] [[milliard]]<link:milliard>", "milliardième", nil, "milliard")
make_number(power_of(12), {"[[un]] [[billion]]<link:billion>", "[[mille]] [[milliard]]s"},
{"billionième", "[[millième]] [[de]] [[milliardième]]"}, nil, "billion")
make_number(power_of(15), {"[[un]] [[billiard]]<link:billiard>", "[[un]] [[million]] [[de]] [[milliard]]s"},
{"billiardième", "[[millionième]] [[de]] [[milliardième]]"}, nil, "billiard")
make_number(power_of(18), {"[[un]] [[trillion]]<link:trillion>", "[[un]] [[milliard]] [[de]] [[milliard]]s"},
{"trillionième", "[[milliardième]] [[de]] [[milliardième]]"}, nil, "trillion")
make_number(power_of(21), {"[[un]] [[trilliard]]<link:trilliard>", "[[mille]] [[milliard]]s [[de]] [[milliard]]s"},
{"trilliardième", "[[millième]] [[de]] [[milliardième]] [[de]] [[milliardième]]"}, nil, "trilliard")
local function make_high_number(power, base)
make_number(power_of(power), ("[[un]] [[%s]]<link:%s>"):format(base, base), base .. "ième", nil, base)
end
make_high_number(24, "quadrillion")
make_high_number(27, "quadrilliard")
make_high_number(30, "quintillion")
make_high_number(33, "quintilliard")
make_high_number(36, "sextillion")
make_high_number(39, "sextilliard")
make_high_number(42, "septillion")
make_high_number(45, "septilliard")
make_high_number(48, "octillion")
make_high_number(51, "octilliard")
make_high_number(54, "nonillion")
make_high_number(57, "nonilliard")
make_high_number(60, "décillion")
make_high_number(63, "décilliard")
make_high_number(66, "undécillion")
make_high_number(72, "duodécillion")
make_high_number(78, "trédécillion")
return export