Mirror

How to calculate Easter Day for a specified year (Views: 38)


Problem/Question/Abstract:

How to calculate Easter Day for a specified year

Answer:

function Easter(Year: Integer): TDateTime;
var
  nMonth, nDay, nMoon, nEpact, nSunday, nGold, nCent, nCorx, nCorz: Integer;
begin
  { The Golden Number of the year in the 19 year Metonic Cycle: }
  nGold := (Year mod 19) + 1;
  { Calculate the Century: }
  nCent := (Year div 100) + 1;
  { Number of years in which leap year was dropped in order to keep in step with the sun: }
  nCorx := (3 * nCent) div 4 - 12;
  { Special correction to syncronize Easter with moon's orbit: }
  nCorz := (8 * nCent + 5) div 25 - 5;
  { Find Sunday: }
  nSunday := (Longint(5) * Year) div 4 - nCorx - 10; { To prevent overflow at year 6554}
  { Set Epact - specifies occurrence of full moon: }
  nEpact := (11 * nGold + 20 + nCorz - nCorx) mod 30;
  if nEpact < 0 then
    nEpact := nEpact + 30;
  if ((nEpact = 25) and (nGold > 11)) or (nEpact = 24) then
    nEpact := nEpact + 1;
  { Find Full Moon: }
  nMoon := 44 - nEpact;
  if nMoon < 21 then
    nMoon := nMoon + 30;
  { Advance to Sunday: }
  nMoon := nMoon + 7 - ((nSunday + nMoon) mod 7);
  if nMoon > 31 then
  begin
    nMonth := 4;
    nDay := nMoon - 31;
  end
  else
  begin
    nMonth := 3;
    nDay := nMoon;
  end;
  Easter := EncodeDate(Year, nMonth, nDay);
end;

<< Back to main page