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CLIPPER
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NFSRC.ZIP
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EASTER.PRG
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1991-08-16
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/*
* File......: EASTER.PRG
* Author....: Paul Tucker
* Date......: $Date: 15 Aug 1991 23:05:28 $
* Revision..: $Revision: 1.2 $
* Log file..: $Logfile: E:/nanfor/src/easter.prv $
*
* While I can say that I wrote the program, the algorithm is from Donald
* Knuth's The Art of Computer Programming, Section 1.3.2. So, the source
* code is an original work by Paul Tucker and is placed in the public
* domain
*
* Modification history:
* ---------------------
*
* $Log: E:/nanfor/src/easter.prv $
*
* Rev 1.2 15 Aug 1991 23:05:28 GLENN
* Forest Belt proofread/edited/cleaned up doc
*
* Rev 1.1 14 Jun 1991 19:51:42 GLENN
* Minor edit to file header
*
* Rev 1.0 01 Apr 1991 01:01:16 GLENN
* Nanforum Toolkit
*
*/
/* $DOC$
* $FUNCNAME$
* FT_EASTER()
* $CATEGORY$
* Date/Time
* $ONELINER$
* Return the date of Easter
* $SYNTAX$
* FT_EASTER( <xYear> ) -> dEdate
* $ARGUMENTS$
* xYear can be a character, date or numeric describing the year
* for which you wish to receive the date of Easter.
* $RETURNS$
* The actual date that Easter occurs.
* $DESCRIPTION$
* Returns the date of Easter for any year after 1582 up to Clipper's
* limit which the manual states is 9999, but the Guide agrees with
* the actual imposed limit of 2999.
*
* This function can be useful in calender type programs that indicate
* when holidays occur.
* $EXAMPLES$
* dEdate := FT_EASTER( 1990 ) && returns 04/15/1990
* $END$
*/
FUNCTION FT_EASTER (nYear)
local nGold, nCent, nCorx, nCorz, nSunday, nEpact, nMoon,;
nMonth := 0, nDay := 0, lCent := __SetCentury( .t. )
// --------------------------------
// NOTE: __SetCentury() is internal
// --------------------------------
IF VALTYPE (nYear) == "C"
nYear = VAL(nYear)
ENDIF
IF VALTYPE (nYear) == "D"
nYear = YEAR(nYear)
ENDIF
IF VALTYPE (nYear) == "N"
IF nYear > 1582
* <<nGold>> is Golden number of the year in the 19 year Metonic cycle
nGold = nYear % 19 + 1
* <<nCent>> is Century
nCent = INT (nYear / 100) + 1
* Corrections:
* <<nCorx>> is the no. of years in which leap-year was dropped in order
* to keep step with the sun
nCorx = INT ((3 * nCent) / 4 - 12)
* <<nCorz>> is a special correction to synchronize Easter with the moon's
* orbit.
nCorz = INT ((8 * nCent + 5) / 25 - 5)
* <<nSunday>> Find Sunday
nSunday = INT ((5 * nYear) / 4 - nCorx - 10)
* Set Epact <<nEpact>> (specifies occurance of a full moon)
nEpact = INT ((11 * nGold + 20 + nCorz - nCorx) % 30)
IF nEpact < 0
nEpact += 30
ENDIF
IF ((nEpact = 25) .AND. (nGold > 11)) .OR. (nEpact = 24)
++nEpact
ENDIF
* Find full moon - the <<nMoon>>th of MARCH is a "calendar" full moon
nMoon = 44 - nEpact
IF nMoon < 21
nMoon += 30
ENDIF
* Advance to Sunday
nMoon = INT (nMoon + 7 - ((nSunday + nMoon) % 7))
* Get Month and Day
IF nMoon > 31
nMonth = 4
nDay = nMoon - 31
ELSE
nMonth = 3
nDay = nMoon
ENDIF
ENDIF
ELSE
nYear = 0
ENDIF
set century (lCent)
RETURN CTOD (RIGHT ("00"+LTRIM (STR (nMonth)),2) + "/" +;
RIGHT ("00"+LTRIM (STR (INT (nDay))) ,2) + "/" +STR (nYear,4))