Modul:Ostern
Dokumentation für das Modul Ostern[Ansicht] [Bearbeiten] [Versionsgeschichte] [] | Dieses Modul wurde am 15. April 2013 von Module:Easter der englischen Wikipedia importiert. Statt Änderungen hier auf Wikivoyage vorzunehmen, sollte eine neuer Import vorgezogen werden, falls im originalen Wiki neue Funktionen hinzugekommen sind. Stimme dich dazu bitte mit der Community in der Vorlagenwerkstatt ab. |
 | Dieses Modul ist getestet und für den projektweiten Gebrauch geeignet. Es kann in Vorlagen benutzt und auf Hilfeseiten erläutert werden. Entwicklungen an dem Modul sollten auf Ostern/Test und die Anwendung auf der Spielwiese getestet werden, da wiederholte Trial-and-Error-Edits die Resourcen stark belasten können. |
Der Modul dient der Berechnung des Osterdatums und vom Osterdatum abgeleiteter Daten.
Berechnung
Funktion zur Berechnung des Osterdatums und vom Osterdatum abgeleiteter Daten.
Argumente
| Feld | Bedeutung | Beispielargument |
|---|---|---|
| 1 | Jahr | z.B. 2026 oder 1882.
|
| Methode | Berechnungsmethode für das Osterdatum:
|
z.B. Ostkirche zur Berechnung des Osterdatums nach orthodoxem Ritus.
|
| Tag | Name eines Ereignisses, das an das Osterdatum gebunden ist, oder eine ganzzahlige Anzahl Tage vor (negativ) oder nach (positiv) Ostern. Der mögliche Wertebereich liegt zwischen −69 bis 68. Unter anderem sind folgende Tagesnamen verfügbar:
Weitere Werte sind aus dem Array |
z.B. 49, austauschbar mit Pfingstsonntag
|
| Format | Beschreibt des Ausgabeformat, das in gleicher Form wie in der #time Parser-Function angegeben wird. Das Standardformat ist Y-m-d. Der spezielle Wert none verhindert eine Formatierung des Datums.
|
z.B. j xd.
|
Beispiele
{{#invoke:Ostern|Berechnung|{{CURRENTYEAR}}}}- 2026-04-05
{{#invoke:Ostern|Berechnung|{{CURRENTYEAR}}|Methode=Ostkirche}}- 2026-04-12
{{#invoke:Ostern|Berechnung|{{CURRENTYEAR}}|Format=j. F}}- 5. April
{{#invoke:Ostern|Berechnung|{{CURRENTYEAR}}|Methode=Ostkirche|Format=j. F}}- 12. April
{{#invoke:Ostern|Berechnung|{{CURRENTYEAR}}|Tag=Aschermittwoch}}- 2026-02-18
{{#invoke:Ostern|Berechnung|{{CURRENTYEAR}}|Methode=Ostkirche|Tag=Aschermittwoch}}- 2026-02-25
{{#invoke:Ostern|Berechnung|{{CURRENTYEAR}}|Format=j. F (l)|Tag=Aschermittwoch}}- 18. Februar (Mittwoch)
{{#invoke:Ostern|Berechnung|{{CURRENTYEAR}}|Methode=Ostkirche|Format=j. F (l)|Tag=Aschermittwoch}}- 25. Februar (Mittwoch)
Hinweise
- Die obige Dokumentation wurde aus der Seite Modul:Ostern/Doku eingefügt. (bearbeiten | Versionsgeschichte) Die Kategorien für dieses Modul sollten in der Dokumentation eingetragen werden. Die Interwiki-Links sollten auf Wikidata eingepflegt werden.
- Liste der Unterseiten
local m = {}
local EasterData = {
defaultMethod = 3, -- default method of Easter date calculation when Easter type is not given
defaultFormat = "Y-m-d", -- default date output format
noFormat = "none", -- prevent from final date formatting
defaultOffset = 0, -- the Easter date
minimumOffset = -69, -- start of Niniveh lenten fast
maximumOffset = 69, -- Feast of the Immaculate Heart of Mary
-- API
apiEaster = "Berechnung", -- public function name
argEasterYear = 1, -- index or name of the argument with year
argEasterMethod = "Methode", -- index or name of the argument with calculation method
argEasterOffset = "Tag", -- index or name of the argument with offset in days relative to the calculated Easter Sunday
argEasterFormat = "Format", -- index or name of the argument with date output format (#time style)
-- errors
errorMissingYear = "Der erforderliche Parameter 'Jahr' fehlt",
errorInvalidYear = "Fehlerhafte Angabe 'Jahr': '%s'",
errorInvalidOffset = "Fehlerhafte Angabe 'Tag': '%s'",
errorInvalidMethod = "Fehlerhafte Angabe 'Methode': '%s'",
errorYearOutOfRange = "Osterdaten können nur zwischen 326 und 4099 berechnet werden; Jahr: %d",
errorIncorrectMethod = "Das westliche oder orthodoxe Ostern besteht seit 1583; Jahr: %d",
errorUnknownMethod = "Unbekannte Methode: %d",
methods = {
["Julian"] = 1, -- Eastern date in the Julian calendar
["Eastern"] = 2, -- Eastern date in the Gregorian calendar
["Orthodox"] = 2, -- alias for Eastern
["Ostkirche"] = 2, -- alias for Eastern
["Coptic"] = 2, -- alias for Eastern
["Koptische Kirche"] = 2, -- alias for Eastern
["Ethiopian"] = 2, -- alias for Eastern
["Äthiopische Kirche"] = 2, -- alias for Eastern
["Western"] = 3, -- Western date in the Gregorian calendar
["Roman"] = 3, -- alias for Western
["Catholic"] = 3, -- alias for Western
["Westkirche"] = 3, -- alias for Western
["Gregorian"] = 3, -- alias for Western
["Revised"] = 4, -- defacto alias for Western for now
["Meletian"] = 4, -- alias for Revised
["Astro"] = 5, -- defacto alias for Western for now
},
-- other proposed or reformed algorithms are not supported (yet):
--
-- * 4 "Meletian" = "Revised": Revised Julian Calendar from 1923 used by some Orthodox churches
-- with 900-year leap cycle, same as Gregorian until 2400 or so
-- * 5 "Astro": astronomically observed Nicean rule at the meridian of Jerusalem (Aleppo 1997 proposal),
-- differs from Gregorian sometimes
-- * 6 based on (equivalently) a range of valid dates in April:
-- * 61 "First": 1st Sunday in April = Sunday in 1–7 April
-- * 67 "Pepuzite": Sunday after 6 April = Sunday in 7–13 April
-- * 68 "April" = "Second": 2nd Sunday in April = Sunday in 8–14 April
-- * 69 "Fixed" = "UK": day after second Saturday in April = Sunday in 9–15 April
-- * 7 based on (equivalently) a range of valid days of the year (DOY):
-- * 75 "W14": Sunday of ISO week 14 = Sunday in 095–101
-- * 79 "Fifteen": 15th Sunday of the year: Sunday in 099–105
-- * 72 "W15": Sunday of ISO week 15 = Sunday in 102–108
-- * "Symmetry": Sym454/Sym010: Sunday of week 14 in a 293-year leap cycle
--
-- Breaking from the Biblical week cycle, any day of the week in the Gregorian calendar:
--
-- * "World": day 099, Sunday in the World Calendar
-- * "Positivist": day 098, Sunday in the Positivst Calendar
-- * "Quartodecimanism": Nisan 14 in the contemporary Jewish/Hebrew calendar, pre-Nicean
-- * "Quintodecimanism": Nisan 15 in the contemporary Jewish/Hebrew calendar, pre-Nicean
relativeDates = {
Septuagesima = -63,
Fastensonntag = -63,
Sexagesima = -56,
["Fat Thursday"] = -52,
Fettdonnerstag = -52,
["Schmotziger Donnerstag"] = -52,
Weiberfastnacht = -52,
["Karneval"] = -51,
["Carnival"] = -51,
["Nelkensamstag"] = -50,
["Quinquagesima"] = -49, -- Estomihi, Shrove Sunday
["Tulpensonntag"] = -49,
["Shrove Monday"] = -48, -- Rose Monday
["Rosenmontag"] = -48,
["Shrove Tuesday"] = -47, -- Mardi Gras, Carnival
["Fastnachtsdienstag"] = -47,
["Veilchendienstag"] = -47,
["Ash Wednesday"] = -46,
["Aschermittwoch"] = -46,
["Invocabit"] = -42,
["Invocabit Sunday"] = -42,
["Reminiscere"] = -35,
["Reminiscere Sunday"] = -35,
["Oculi"] = -28,
["Oculi Sunday"] = -28,
["Laetare"] = -21,
["Laetare Sunday"] = -21, -- Mothering Sunday
["Rosensonntag"] = -21,
["Judica"] = -14,
["Schwarzer Sonntag"] = -14,
["Passionssonntag"] = -14,
["Palm Sunday"] = -7,
["Palmsonntag"] = -7,
["Holy Week"] = -7,
["Karwoche"] = -7,
["Holy Monday"] = -6,
["Karmontag"] = -6,
["Holy Tuesday"] = -5,
["Kardienstag"] = -5,
["Holy Wednesday"] = -4,
["Karmittwoch"] = -4,
["Maundy Thursday"] = -3,
["Gründonnerstag"] = -3,
["Good Friday"] = -2, -- Crucifixion
["Karfreitag"] = -2,
["Holy Saturday"] = -1,
["Karsamstag"] = -1,
["Easter"] = 0, -- Easter Sunday, Resurrection
["Ostern"] = 0,
["Easter Monday"] = 1,
["Ostermontag"] = 1,
["Quasimodogeniti"] = 7,
["Divine Mercy Sunday"] = 7,
["Weißer Sonntag"] = 7,
["Schamm an-Nasim"] = 8,
["Misericordias Domini"] = 14,
["Jubilate"] = 21,
["Jubilate Sunday"] = 21,
["Kantate"] = 28,
["Cantate Sunday"] = 28,
["Vocem jucunditatis"] = 35,
["Rogate"] = 35,
["Ascension Thursday"] = 39, -- Ascension
["Christi Himmelfahrt"] = 39,
["Exaudi"] = 42,
["Pentecost"] = 49, -- Whitsun
["Pfingstsonntag"] = 49,
["Pfingsten"] = 50,
["Pfingstmontag"] = 50,
["Whit Monday"] = 50,
["Trinity Sunday"] = 56,
["Dreifaltigkeitssonntag"] = 56,
["Trinitatis"] = 56,
["Goldener Sonntag"] = 56,
["Frommtag"] = 56,
["Corpus Christi"] = 60, -- Body and Blood of Christ
["Fronleichnam"] = 60,
["Sacred Heart"] = 68,
["Heiligstes Herz Jesu"] = 68,
["Immaculate Heart"] = 69,
["Unbeflecktes Herz"] = 69,
},
}
local function formatEasterError(message, ...)
if select('#', ... ) > 0 then
message = string.format(message, ...)
end
return "<span class=\"error\">" .. message .. "</span>"
end
local function loadEasterYear(year)
if not year then
return false, formatEasterError(EasterData.errorMissingYear)
end
local result = tonumber(year)
if not result or math.floor(result) ~= result then
return false, formatEasterError(EasterData.errorInvalidYear, year)
end
return true, result
end
local function loadEasterMethod(method, year)
local result = EasterData.defaultMethod
if method then
result = EasterData.methods[method]
if not result then
return false, formatEasterError(EasterData.errorInvalidMethod, method)
end
end
if year < 1583 then
result = 1
end
return true, result
end
local function loadEasterOffset(day)
if not day then
return true, ""
end
local data = EasterData.relativeDates
local offset = tonumber(day)
if not offset then
offset = data[day]
end
if not offset or offset ~= math.floor(offset) or offset < EasterData.minimumOffset or offset > EasterData.maximumOffset then
return false, formatEasterError(EasterData.errorInvalidOffset, day)
end
if offset < -1 then
return true, string.format(" %d days", offset)
elseif offset == -1 then
return true, " -1 day"
elseif offset == 0 then
return true, ""
elseif offset == 1 then
return true, " +1 day"
else -- if offset > 1 then
return true, string.format(" +%d days", offset)
end
end
local function loadEasterFormat(fmt)
if fmt == EasterData.noFormat then
return true, nil
elseif not fmt then
return true, EasterData.defaultFormat
else
return true, fmt
end
end
--[[
PURPOSE: This function returns Easter Sunday day and month
for a specified year and method.
INPUTS: Year - Any year between 326 and 4099.
Method - 1 = the original calculation based on the
Julian calendar
2 = the original calculation, with the
Julian date converted to the
equivalent Gregorian calendar
3 = the revised calculation based on the
Gregorian calendar
4 = the revised calculation based on the
Meletian calendar
OUTPUTS: None.
RETURNS: 0, error message - Error; invalid arguments
month, day - month and day of the Sunday
NOTES:
The code is translated from DN OSP 6.4.0 sources.
The roots of the code might be found in
http://www.gmarts.org/index.php?go=415
ORIGINAL NOTES:
This algorithm is an arithmetic interpretation
of the 3 step Easter Dating Method developed
by Ron Mallen 1985, as a vast improvement on
the method described in the Common Prayer Book
Published Australian Almanac 1988
Refer to this publication, or the Canberra Library
for a clear understanding of the method used
Because this algorithm is a direct translation of
the official tables, it can be easily proved to be
100% correct
It's free! Please do not modify code or comments!
]]
local function calculateEasterDate(year, method)
if year < 326 or year > 4099 then
-- Easter dates are valid for years between 326 and 4099
-- Method 2 would have to support dates in June thereafter
return 0, formatEasterError(EasterData.errorYearOutOfRange, year)
end
if year < 1583 and method ~= 1 then
-- Western or Orthodox Easter is valid since 1583
return 0, formatEasterError(EasterData.errorIncorrectMethod, year)
end
if (year < 1600 or year > 2400) and method ~= 4 then
-- The Revised Julian Calendar is not really supported yet
return 0, formatEasterError(EasterData.errorYearOutOfRange, year)
end
-- intermediate result
local firstDig = math.floor(year / 100)
local remain19 = year % 19
local temp
-- table A to E results
local tA
local tB
local tC
local tD
local tE
-- Easter Sunday day
local d
-- Julian:
if method == 1 or method == 2 then
-- calculate PFM date
tA = ((225 - 11 * remain19) % 30) + 21
-- find the next Sunday
tB = (tA - 19) % 7
tC = (40 - firstDig) % 7
temp = year % 100
tD = (temp + math.floor(temp / 4)) % 7
tE = ((20 - tB - tC - tD) % 7) + 1
d = tA + tE
if method == 2 then
-- convert Julian to Gregorian date
-- 10 days were skipped in the Gregorian calendar from 5-14 Oct 1582
temp = 10
-- only 1 in every 4 century years are leap years in the Gregorian
-- calendar (every century is a leap year in the Julian calendar)
if year > 1600 then
temp = temp + firstDig - 16 - math.floor((firstDig - 16) / 4)
end
d = d + temp
end
-- Gregorian:
elseif method == 3 or method == 4 then
-- calculate paschal full moon (PFM) date
temp = math.floor((firstDig - 15) / 2) + 202 - 11 * remain19
if firstDig > 26 then
temp = temp - 1
end
if firstDig > 38 then
temp = temp - 1
end
if firstDig == 21 or firstDig == 24 or firstDig == 25 or firstDig == 33 or firstDig == 36 or firstDig == 37 then
temp = temp - 1
end
temp = temp % 30
tA = temp + 21
if temp == 29 then
tA = tA - 1
end
if temp == 28 and remain19 > 10 then
tA = tA - 1
end
-- find the next Sunday
tB = (tA - 19) % 7
tC = (40 - firstDig) % 4
if tC == 3 then
tC = tC + 1
end
if tC > 1 then
tC = tC + 1
end
temp = year % 100
tD = (temp + math.floor(temp / 4)) % 7
tE = ((20 - tB - tC - tD) % 7) + 1
d = tA + tE
else
-- Unknown method
return 0, formatEasterError(EasterData.errorUnknownMethod, method)
end
-- when the original calculation is converted to the Gregorian calendar,
-- Easter Sunday can occur in May or even in June in the distant future
if d > 92 then
return 6, d - 92 -- June
elseif d > 61 then
return 5, d - 61 -- May
elseif d > 31 then
return 4, d - 31 -- April
else
return 3, d -- March
end
end
local function Easter(args)
local ok
local year
ok, year = loadEasterYear(args[EasterData.argEasterYear])
if not ok then
return year
end
local method
ok, method = loadEasterMethod(args[EasterData.argEasterMethod], year)
if not ok then
return method
end
local offset
ok, offset = loadEasterOffset(args[EasterData.argEasterOffset])
if not ok then
return offset
end
local format
ok, format = loadEasterFormat(args[EasterData.argEasterFormat])
if not ok then
return format
end
local month, day = calculateEasterDate(year, method)
if month == 0 then
return day
end
local result = string.format("%04d-%02d-%02d%s", year, month, day, offset)
if format then
result = mw.language.getContentLanguage():formatDate(format, result)
end
return result
end
m[EasterData.apiEaster] = function (frame)
return Easter(frame.args)
end
return m