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Module:Romain
De Wicri France
Révision datée du 16 mai 2021 à 16:42 par imported>Jacques Ducloy (Page créée avec « local p = {} -- barre horizontale au-dessus des nombres élevés local function overline( s ) return '<span style="text-decoration:overline">' .. s .. '</span>' end... »)
La documentation pour ce module peut être créée à Module:Romain/doc
local p = {}
-- barre horizontale au-dessus des nombres élevés
local function overline( s )
return '<span style="text-decoration:overline">' .. s .. '</span>'
end
-- Gets the Roman numerals for a given numeral table. Returns both the string of
-- numerals and the value of the number after it is finished being processed.
local function getLetters( num, t )
local ret = {}
for _, v in ipairs( t ) do
local val, letter = unpack( v )
while num >= val do
num = num - val
table.insert( ret, letter )
end
end
return table.concat( ret ), num
end
function p.toRoman( num, default )
num = tonumber( num )
if not num or num < 1 or num == math.huge then
return
end
num = math.floor( num )
-- Return a message for numbers too big to be expressed in Roman numerals.
if num >= 5000000 then
return default or 'N/A'
end
local ret = ''
-- Find the Roman numerals for the large part of numbers 5000 and bigger.
-- The if statement is not strictly necessary, but makes the algorithm
-- more efficient for smaller numbers.
if num >= 5000 then
local bigRomans = {
{ 1000000, 'M' },
{ 900000, 'CM' }, { 500000, 'D' }, { 400000, 'CD' }, { 100000, 'C' },
{ 90000, 'XC' }, { 50000, 'L' }, { 40000, 'XL' }, { 10000, 'X' },
{ 5000, 'V' }
}
local bigLetters
bigLetters, num = getLetters( num, bigRomans )
ret = overline( bigLetters )
end
-- Find the Roman numerals for numbers 4999 or less.
local smallRomans = {
{1000, "M"},
{900, "CM"}, {500, "D"}, {400, "CD"}, {100, "C"},
{90, "XC"}, {50, "L"}, {40, "XL"}, {10, "X"},
{9, "IX"}, {5, "V"}, {4, "IV"}, {1, "I"}
}
local smallLetters = getLetters( num, smallRomans )
ret = ret .. smallLetters
return ret
end
function p.fromRoman( str, default )
local strOrig = str
str = str:upper()
if not str:find( '^[MDCLXVI]+$' ) then
return tonumber( str ) or default or strOrig
end
local smallRomans = { I = 1, V = 5, X = 10, L = 50, C = 100, D = 500, M = 1000 }
local result = 0
local old, n = 0
for i = str:len(), 1, -1 do
n = smallRomans[ str:sub( i, i ) ]
if n < old then
result = result - n
else
result = result + n
old = n
end
end
return result
end
-- compatibility with [[en:Module:Roman]]
function p._main(args)
return p.toRoman( args[1] )
end
function p.main( frame )
return p.nombreEnRomain( frame )
end
-- functions to call the module from a template (takes the #invoke first arg or the template first arg)
function p.nombreEnRomain( frame )
local num
if frame == mw.getCurrentFrame() then
num = frame.args[1] or frame:getParent().args[1]
else
num = frame
end
return p.toRoman( mw.text.trim( num or '' ) )
end
function p.nombreDepuisRomain( frame )
local str
if frame == mw.getCurrentFrame() then
str = frame.args[1] or frame:getParent().args[1]
else
str = frame
end
return p.fromRoman( mw.text.trim( str or '' ) )
end
return p
