## Computing the Nth DoW of Any Year / MonthThis algorithm handles the problem of computing the Nth DoW of a given year and month. It was designed to help determine such things as the calendar dates of moving dates like Election Day and holidays (U.S.), like Thanksgiving Day.For example, if a certain holiday was always observed on the third (N=3) Monday (DoW=1) of a certain month (m=Month number), then the following algorithm could be used to find the corresponding calendar date for any given year (y). To compute the ( `N` )th DoW of month (`m` ) of year (`y` ), requires 5 arguments:
`N` = Index (1, 2, 3, ...), as in the`N` th Thursday.`DoW` = Day of Week index code (0 to 6) Where:`0` =Sun,`1` =Mon,`2` =Tue,`3` =Wed,`4` =Thu,`5` =Fri and`6` =Sat`y` = Year value (Neg=BC)`m` = Month number (`1` to`12` )`CalMode` (`0` =Julian or`1` =Gregorian)
Given the above arguments and using Algorithm 1 and Algorithm 2, the following pseudocode algorithm computes the ISO integer-encoded date (`ISOymd` ) value.
Algorithm 9:
Compute the corresponding ISO integer-encoded date ( `ISOymd` ) of the (`N` )th (`DoW` ) in month (`m` ) of year (`y` ) and (`CalMode` ).if (y < 0) then YearSign = -1 else YearSign = 1 ISOymd1 = YearSign*(10000*abs(y) + 100*m + 1) JD1 = JD_For_ISOymd (ISOymd1, CalMode) DoW1 = (JD1 + 1) mod 7 dDoW = DoW - DoW1 if (dDoW < 0) then u = dDoW + 7 else u = dDoW JD = JD1 + u + 7*(N-1) ISOymd = ISOymd_For_JD (JD, CalMode)or ISOymd1 = ((y < 0)? -1:1)*(10000*abs(y) + 100*m + 1) JD1 = JD_For_ISOymd (ISOymd1, CalMode) DoW1 = (JD1 + 1) mod 7 dDoW = DoW - DoW1 JD = JD1 + ((dDoW < 0)? dDoW + 7 : dDoW) + 7*(N-1) ISOymd = ISOymd_For_JD (JD, CalMode) © PHP Science Labs - 2017 |