Module:Easter and Module:Easter/sandbox: Difference between pages

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imported>PC-XT
imported>MusikBot II
m Protected "Module:Easter": High-risk template or module: 250 transclusions (more info) ([Edit=Require autoconfirmed or confirmed access] (indefinite))
 
imported>PC-XT
create synced
 
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local m = {}  
local m = {}


local EasterData = {
local EasterData = {
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     methods = {
     methods = {
         ["Julian"]      = 1, -- Eastern date in the Julian calendar
         ["Julian"]      = 1,
         ["Eastern"]    = 2, -- Eastern date in the Gregorian calendar
         ["Eastern"]    = 2,
         ["Orthodox"]    = 2, -- alias for Eastern
         ["Orthodox"]    = 2, -- alias for Eastern
         ["Coptic"]      = 2, -- alias for Eastern
         ["Coptic"]      = 2, -- alias for Eastern
         ["Ethiopian"]  = 2, -- alias for Eastern
         ["Ethiopian"]  = 2, -- alias for Eastern
         ["Western"]    = 3, -- Western date in the Gregorian calendar
         ["Western"]    = 3,
         ["Gregorian"]  = 3, -- alias for Western
         ["Gregorian"]  = 3, -- alias for Western
        ["Catholic"]    = 3, -- alias for Western
         ["Roman"]      = 3, -- alias for Western
         ["Roman"]      = 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):
     -- the Meletian/Revised Julian Calendar from 1923 used by some Orthodox churches
    --
     -- and any proposed reformed algorithms are not supported (yet):
    -- * 4 "Meletian" = "Revised": Revised Julian Calendar from 1923 used by some Orthodox churches  
     -- * astronomically observed Nicean rule at the meridian of Jerusalem (Aleppo 1997 proposal), differs from Gregorian in
     --   with 900-year leap cycle, same as Gregorian until 2400 or so
     -- * fifteenth Sunday of the year: Sunday in 099–105 day of the year
     -- * 5 "Astro": astronomically observed Nicean rule at the meridian of Jerusalem (Aleppo 1997 proposal),  
     -- * Sunday after second Saturday in April (UK): Sunday in 9–15 April
    --  differs from Gregorian sometimes
     -- * second Sunday in April: Sunday in 8–14 April
     -- * 6 based on (equivalently) a range of valid dates in April:
     -- * Sunday after 6 April (Pepuzite sect): Sunday in 7–13 April
    --  * 61 "First": 1st Sunday in April = Sunday in 1–7 April
     -- * World Calendar: day 099, any day of the week in Gregorian/Julian calendar
     --   * 67 "Pepuzite": Sunday after 6 April = Sunday in 7–13 April
     -- * Positivist Calendar: day 098, any day of the week in Gregorian/Julian calendar
     --   * 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
     -- * Sunday of ISO week 14: Sunday in 099–105 day of the year
    -- * 7 based on (equivalently) a range of valid days of the year (DOY):
 
    --  * 75 "W14": Sunday of ISO week 14 = Sunday in 095–101
     -- * Sunday of ISO week 15: Sunday in 106–112 day of the year
     --   * 79 "Fifteen": 15th Sunday of the year: Sunday in 099–105
     -- * Nisan 14: any day of the week
    --  * 72 "W15": Sunday of ISO week 15 = Sunday in 102–108
 
     -- * "Symmetry": Sym454/Sym010: Sunday of week 14 in a 293-year leap cycle
     -- * Nisan 15: any day of the week
    --
    -- 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


   
   
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         ["Shrove Tuesday"]          = -47, -- Mardi Gras, Carnival
         ["Shrove Tuesday"]          = -47, -- Mardi Gras, Carnival
         ["Ash Wednesday"]            = -46,
         ["Ash Wednesday"]            = -46,
        ["Invocabit Sunday"]        = -42,
         ["Laetare Sunday"]          = -21,
        ["Reminiscere Sunday"]      = -35,
        ["Oculi Sunday"]            = -28,
         ["Laetare Sunday"]          = -21, -- Mothering Sunday
        ["Holy Week"]                =  -7,
         ["Palm Sunday"]              =  -7,
         ["Palm Sunday"]              =  -7,
        ["Holy Monday"]              =  -6,
        ["Holy Tuesday"]            =  -5,
         ["Holy Wednesday"]          =  -4,  
         ["Holy Wednesday"]          =  -4,  
         ["Maundy Thursday"]          =  -3,
         ["Maundy Thursday"]          =  -3,
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         ["Easter"]                  =  0, -- Easter Sunday, Resurrection
         ["Easter"]                  =  0, -- Easter Sunday, Resurrection
         ["Easter Monday"]            =  1,
         ["Easter Monday"]            =  1,
         ["Divine Mercy Sunday"]     =  7,
         ["Divine Mercy"]             =  7,
        ["Misericordias Domini"]    =  14,
        ["Jubilate Sunday"]          =  21,
        ["Cantate Sunday"]          =  28,
        ["Vocem jucunditatis"]      =  35,
         ["Ascension Thursday"]      =  39, -- Ascension
         ["Ascension Thursday"]      =  39, -- Ascension
         ["Pentecost"]                =  49, -- Whitsun
         ["Pentecost"]                =  49, -- Whitsun
        ["Whit Monday"]              =  50,
         ["Trinity Sunday"]          =  56,  
         ["Trinity Sunday"]          =  56,  
         ["Corpus Christi"]          =  60, -- Body and Blood of Christ
         ["Corpus Christi"]          =  60, -- Body and Blood of Christ
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                       3 = the revised calculation based on the
                       3 = the revised calculation based on the
                           Gregorian calendar
                           Gregorian calendar
                      4 = the revised calculation based on the
                          Meletian calendar
   
   
  OUTPUTS:    None.
  OUTPUTS:    None.
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         -- Western or Orthodox Easter is valid since 1583
         -- Western or Orthodox Easter is valid since 1583
         return 0, formatEasterError(EasterData.errorIncorrectMethod, year)
         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
     end
   
   
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     local d = 0
     local d = 0
   
   
    -- Julian:
     if method == 1 or method == 2 then
     if method == 1 or method == 2 then
         -- calculate PFM date
         -- calculate PFM date
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         tE  = ((20 - tB - tC - tD) % 7) + 1
         tE  = ((20 - tB - tC - tD) % 7) + 1
         d    = tA + tE
         d    = tA + tE
        -- Eastern/Orthodox:
         if method == 2 then
         if method == 2 then
             -- convert Julian to Gregorian date
             -- convert Julian to Gregorian date
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             d = d + temp
             d = d + temp
         end
         end
    -- Gregorian:
     elseif method == 3 then
     elseif method == 3 or method == 4 then
         -- calculate PFM date
         -- calculate paschal full moon (PFM) date
         temp = math.floor((firstDig - 15) / 2)  + 202 - 11 * remain19
         temp = math.floor((firstDig - 15) / 2)  + 202 - 11 * remain19
         if firstDig > 26 then
         if firstDig > 26 then
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         return 0, formatEasterError(EasterData.errorUnknownMethod, method)
         return 0, formatEasterError(EasterData.errorUnknownMethod, method)
     end
     end
     -- when the original calculation is converted to the Gregorian calendar,
     if d > 61 then
    -- Easter Sunday can occur in May or even in June in the distant future
        -- when the original calculation is converted to the Gregorian
    if d > 92 then
        -- calendar, Easter Sunday can occur in May
        return 6, d - 92  -- June
         return 5, d - 61
    elseif d > 61 then
         return 5, d - 61 -- May
     elseif d > 31 then
     elseif d > 31 then
         return 4, d - 31 -- April
         return 4, d - 31
     else
     else
         return 3, d       -- March
         return 3, d
     end
     end
end
end
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