MySQL Convert From Seconds To Another Custom Format - mysql

I have this javascript code that works fine:
function timeup(s) {
var d, h, m, s;
m = Math.floor(s / 60);
s = s % 60;
h = Math.floor(m / 60);
m = m % 60;
d = Math.floor(h / 24);
h = h % 24;
m = m > 9 ? m : "0"+m;
h = h > 9 ? h : "0"+h;
s = s > 9 ? s : "0"+s;
if (d > 0) {
d = d+" days ";
} else {
d = "";
}
return d+h+":"+m+":"+s;
}
SO i need same function but in MySQL(because i do SQL query and don't want to use javascript conversion on client side)
So i need to convert in MySQL seconds to get this same output:
timeup(600000) => 6 days 22:40:00
timeup(60000) => 16:40:00
timeup(6000) => 01:40:00
timeup(600) => 00:10:00
timeup(60) => 00:01:00
timeup(60) => 00:01:00
timeup(6) => 00:00:06
So if seconds below day show HH:MM:SS if seconds greater that day show X days HH:MM:SS
I im trying using CONCAT & TIMESTAMPDIFF but i think maybe it should go if then to compare day below 24h or grater to show custom string X days...any help welcome.

I tested this and it seems to do the job:
DROP FUNCTION IF EXISTS GET_HOUR_MINUTES;
DELIMITER $$
CREATE FUNCTION GET_HOUR_MINUTES(seconds INT)
RETURNS VARCHAR(16)
BEGIN
RETURN CONCAT(LPAD(FLOOR(HOUR(SEC_TO_TIME(seconds)) / 24), 2, 0), ' days ',TIME_FORMAT(SEC_TO_TIME(seconds % (24 * 3600)), '%H:%i:%s'));
END;
$$
DELIMITER ;
Test it like this:
SELECT GET_HOUR_MINUTES(600001);
That returns
'06 days 22:40:01'
It seems to want, at least in MySQL Workbench, to have the database you are using selected before you run it. It saves the function within the database, that is, you can see it in the column on the left with Tables, Views, Stored Procedures and Functions.

I now have another problem with this above function that works only on seconds..but i forget to ask in first question that i have in database stored number:
uptime => 1507977507423
And i need to get seconds and show above format from NOW() time
So for example if i have uptime in database so formula will be: NOW() - uptime, i try using this but i get strange output like 34 days 838:59:59 and that is not correct:
SELECT
CONCAT(LPAD(FLOOR(HOUR(SEC_TO_TIME(UNIX_TIMESTAMP(NOW())-SUBSTRING(uptime, 1, length(uptime) - 2))) / 24), 2, 0), ' days ',TIME_FORMAT(SEC_TO_TIME(UNIX_TIMESTAMP(NOW())-SUBSTRING(uptime, 1, length(uptime) - 2) % (24 * 3600)), '%H:%i:%s')) AS nice_date
FROM streams
WHERE id=1;
I get this:
+-------------------+
| nice_date |
+-------------------+
| 34 days 838:59:59 |
+-------------------+

Related

Is there a convienient way to call a function multiple times without a loop?

I am currently making some code to randomly generate a set of random dates and assigning them to a matrix. I wish to randomly generate N amount of dates (days and months) and display them in a Nx2 matrix. My code is as follows
function dates = dategen(N)
month = randi(12);
if ismember(month,[1 3 5 7 8 10 12])
day = randi(31);
dates = [day, month];
elseif ismember(month,[4 6 9 11])
day = randi(30);
dates = [day, month];
else
day = randi(28);
dates = [day, month];
end
end
For example if I called on the function, as
output = dategen(3)
I would expect 3 dates in a 2x3 matrix. However, I am unsure how to do this. I believe I need to include N into the function somewhere but I'm not sure where or how.
Any help is greatly appreciated.
You can do it using logical indexing as follows:
function dates = dategen(N)
months = randi(12, 1, N);
days = NaN(size(months)); % preallocate
ind = ismember(months, [1 3 5 7 8 10 12]);
days(ind) = randi(31, 1, sum(ind));
ind = ismember(months, [4 6 9 11]);
days(ind) = randi(30, 1, sum(ind));
ind = ismember(months, 2);
days(ind) = randi(28, 1, sum(ind));
dates = [months; days];
end

generating week day by knowing the date in Codesys

very new to Codesys so bear with me.
I know you can use a time picker, but it doesn't get displayed on the web visualisation for some reason. So trying to find a function that will display the day of the week that corresponds to the chosen date.
eg. select 15.10.2018 and get "Monday"
there is a formula for calculating the day of the week on Wikipedia (German).
In CoDeSys:
PROGRAM PLC_PRG
VAR
d : INT:= 15; //day
m : INT:= 10; //month
y: INT:= 2018; //year
w: DINT; //result -> day of the week 1 = monday ...
END_VAR
Implementation:
w:= ((d + TRUNC(2.6 * ((m + 9) MOD 12 + 1) - 0.2) + y MOD 100 +
TRUNC(y MOD 100 / 4) + TRUNC(y / 400) - 2 * TRUNC(y / 100) - 1) MOD 7
+ 7) MOD 7 + 1;
This returns the day of the week as number. 1 is Monday, 2 is Tuesday etc.
It depends on what you have as an input. If you have month, day and year as separate INT values the above example might work. But you can also convert it to DATE which is much better format to work with. That will alow you quickly convert to TIME or TOD and compare dates and do much more.
VAR
DT: DATE;
Str: STRING;
d : INT:= 15; //day
m : INT:= 10; //month
y: INT:= 2018; //year
END_VAR
Str := CONCAT("D#", y);
Str := CONCAT(Str, '-');
Str := CONCAT(Str, m);
Str := CONCAT(Str, '-');
Str := CONCAT(Str, d);
(* Now our string is D#2018-10-15 *)
DT := STRING_TO_DATE(Str);
If you have type DATE, then to calculate day of thr week is very trivial task. All we need to know is what was the day of the week in any given day. Then we can calculate how many days we are from that day, devide by 7 and get MOD.
Here are the facts we have to know
Internal time storage is in seconds from 1 Jan. 1970.
We know that 1 January 1970 was a Thursday.
Ther are 86400 seconds in one day
Here is a function example.
FUNCTION WeekDay : UINT
VAR_INPUT
DT: DATE;
END_VAR
VAR
NumOfDays: DWORD;
END_VAR
(* How many days from 1 Jan. 1970 *)
NumOfDays := DATE_TO_DWORD(DT) / 86400;
WeekDay := DWORD_TO_UINT((NumOfDays + 3) MOD 7);
END_FUNCTION
+3 give us 0 - Monday because in system where 0 is Monday 3 is Thursday and if we want 0 - Sunday we can use +4;
Of course you can optimize function to be only one line
WeekDay := DWORD_TO_UINT(((DATE_TO_DWORD(DT) / 86400) + 3) MOD 7);

Mysql SUM() TIME wrong format

I'm calculating the sum of two columns from the same table with SUM() but the end result is an integer (286676). I'm guessing it's milliseconds? How can I convert to TIME(00:00:00)?
database
id|hours_worked | hours_worked_wk2 |
hours_worked = 14:33:38
hours_worked_wk2 = 14:33:38
Query
SELECT *,SEC_TO_TIME(SUM(TIME_TO_SEC(ep.hours_worked)))+SEC_TO_TIME(SUM(TIME_TO_SEC(ep.hours_worked_wk2)))
AS TotalHoursWorked
FROM employeepayroll ep
JOIN employees em ON ep.employee_id=em.employee_id
JOIN payroll p ON ep.payroll_id=p.payroll_id
JOIN payrolltaxes pt ON ep.payroll_id=pt.payroll_id
WHERE ep.timesheet_status='Approved' AND p.pay_group='26'
ORDER BY ep.payroll_id DESC
TotalHoursWorkd = 286676
Use the following formula.
hours = cast(duration_in_milliseconds \ (60 * 60 * 1000) as int)
mins = (duration_in_milliseconds \ (60 * 1000)) mod 60
secs = (duration_in_milliseconds \ 1000) mod 60
Your query will look something like this:
select cast(duration_in_milliseconds\(60*60*1000) as int)+':'((duration_in_milliseconds \ (60*1000)) mod 60;)+':'((duration_in_milliseconds \ 1000) mod 60) from something
When you see it...
14:33:38 >>> 143,338 × 2 = 286,676
Yikes. The numbers in the times are being implicitly cast to integers.
You are adding the two values of SEC_TO_TIME(SUM(...))+SEC_TO_TIME(SUM(...)).
Instead, use SEC_TO_TIME(SUM(...) + SUM(...)).

Convert and round (Seconds to Minutes) with SQL

I have a field on my table which represents seconds, I want to convert to minutes
Select (100/60) as Minute from MyTable
-> 1.66
How can I get 1 minute and 40 seconds 00:01:40 and then round to 00:02:00 and if 00:01:23 round to 00:01:30
Using Mysql.
There are two ways of rounding, using integer arithmetic and avoiding floating points, a value to the nearest thirty seconds...
((seconds + 15) DIV 30) * 30
(seconds + 15) - (seconds + 15) % 30
The latter is longer, but in terms of cpu time should be faster.
You can then use SEC_TO_TIME(seconds) to get the format hh:mm:ss, and take the right 5 characters if you really need hh:mm.
If you wanted to avoid SEC_TO_TIME(seconds), you can build up the string yourself.
minutes = total_seconds DIV 60
seconds = total_seconds % 60
final string = LPAD(minutes, 2, '0') | ':' | LPAD(seconds, 2, '0')
i am not sure about how to round it but you can convert seconds into time i.e hh:mm:ss format using SEC_TO_TIME(totaltime)
Desired result :
A = 30
B = 60
C = 90
D = 120
select
(25 + 15)-(25 + 15) % 30 as A,
(32 + 15)-(32 + 15) % 30 as B,
(90 + 15)-(90 + 15) % 30 as C,
(100 + 15)-(100 + 15) % 30 as D
Result :
A = 30
B = 30
C = 90
D = 90
I try with this:
select
30* ceil(30/30) as A,
30* ceil(32/30) as B,
30* ceil(90/30) as C,
30* ceil(100/30) as D
Result :
A = 30
B = 60
C = 90
D = 120
Thank you for your help !
You can simply write your own function http://dev.mysql.com/doc/refman/5.0/en/create-procedure.html
But I'd rather do that in a programing language (PHP, Python, C), not on the database side.

Code Golf: Calculate Orthodox Easter date

Locked. This question and its answers are locked because the question is off-topic but has historical significance. It is not currently accepting new answers or interactions.
The Challenge
Calculate the Date of the Greek Orthodox Easter (http://www.timeanddate.com/holidays/us/orthodox-easter-day) Sunday in a given Year (1900-2100) using the least amount of characters.
Input is just a year in the form '2010'. It's not relevant where you get it (Input, CommandLineArgs etc.) but it must be dynamic!
Output should be in the form day-month-year (say dd/mm/yyyy or d/m/yyyy)
Restrictions No standard functions, such as Mathematica's EasterSundayGreekOrthodox or PHP's easter_date(), which return the (not applicable gregorian) date automatic must be used!
Examples
2005 returns 1/5/2005
2006 returns 23/4/2006
2007 returns 8/4/2007
2008 returns 27/4/2008
2009 returns 19/4/2009
2010 returns 4/4/2010
2011 returns 24/4/2011
2012 returns 15/4/2012
2013 returns 5/5/2013
2014 returns 20/4/2014
2015 returns 12/4/2015
Code count includes input/output (i.e full program).
Edit:
I mean the Eastern Easter Date.
Reference: http://en.wikipedia.org/wiki/Computus
Python (101 140 132 115 chars)
y=input()
d=(y%19*19+15)%30
e=(y%4*2+y%7*4-d+34)%7+d+127
m=e/31
a=e%31+1+(m>4)
if a>30:a,m=1,5
print a,'/',m,'/',y
This one uses the Meeus Julian algorithm but since this one only works between 1900 and 2099, an implementation using Anonymous Gregorian algorithm is coming right up.
Edit: Now 2005 is properly handled. Thanks to Mark for pointing it out.
Edit 2: Better handling of some years, thanks for all the input!
Edit 3: Should work for all years in range. (Sorry for hijacking it Juan.)
PHP CLI, no easter_date(), 125 characters
Valid for dates from 13 March 1900 to 13 March 2100, now works for Easters that fall in May
Code:
<?=date("d/m/Y",mktime(0,0,0,floor(($b=($a=(19*(($y=$argv[1])%19)+15)%30)+(2*($y%4)+4*$y%7-$a+34)%7+114)/31),($b%31)+14,$y));
Invocation:
$ php codegolf.php 2010
$ php codegolf.php 2005
Output:
04/04/2010
01/05/2005
With whitespace:
<?=date("d/m/Y", mktime(0, 0, 0, floor(($b = ($a = (19 * (($y = $argv[1]) % 19) + 15) % 30) + (2 * ($y % 4) + 4 * $y % 7 - $a + 34) % 7 + 114) / 31), ($b % 31) + 14, $y));
This iteration is no longer readable thanks to PHP's handling of assignments. It's almost a functional language!
For completeness, here's the previous, 127 character solution that does not rely on short tags:
Code:
echo date("d/m/Y",mktime(0,0,0,floor(($b=($a=(19*(($y=$argv[1])%19)+15)%30)+(2*($y%4)+4*$y%7-$a+34)%7+114)/31),($b%31)+14,$y));
Invocation:
$ php -r 'echo date("d/m/Y",mktime(0,0,0,floor(($b=($a=(19*(($y=$argv[1])%19)+15)%30)+(2*($y%4)+4*$y%7-$a+34)%7+114)/31),($b%31)+14,$y));' 2010
$ php -r 'echo date("d/m/Y",mktime(0,0,0,floor(($b=($a=(19*(($y=$argv[1])%19)+15)%30)+(2*($y%4)+4*$y%7-$a+34)%7+114)/31),($b%31)+14,$y));' 2005
C#, 155 157 182 209 212 characters
class P{static void Main(string[]i){int y=int.Parse(i[0]),c=(y%19*19+15)%30,d=c+(y%4*2+y%7*4-c+34)%7+128;System.Console.Write(d%31+d/155+"/"+d/31+"/"+y);}}
Python 2.3, 97 characters
y=int(input())
c=(y%19*19+15)%30
d=c+(y%4*2+y%7*4-c+34)%7+128
print"%d/%d/%d"%(d%31+d/155,d/31,y)
This also uses the Meeus Julian algorithm (and should work for dates in May).
removed no longer necessary check for modern years and zero-padding in output
don't expect Easters in March anymore because there are none between 1800-2100
included Python 2.3 version (shortest so far)
Mathematica
<<Calendar`;a=Print[#3,"/",#2,"/",#]&##EasterSundayGreekOrthodox##&
Invoke with
a[2010]
Output
4/4/2010
Me too: I don't see the point in not using built-in functions.
Java - 252 196 190 chars
Update 1: The first algo was for Western Gregorian Easter. Fixed to Eastern Julian Easter now. Saved 56 chars :)
Update 2: Zero padding seem to not be required. Saved 4 chars.
class E{public static void main(String[]a){long y=new Long(a[0]),b=(y%19*19+15)%30,c=b+(y%4*2+y%7*4-b+34)%7+(y>1899&y<2100?128:115),m=c/31;System.out.printf("%d/%d/%d",c%31+(m<5?0:1),m,y);}}
With newlines
class E{
public static void main(String[]a){
long y=new Long(a[0]),
b=(y%19*19+15)%30,
c=b+(y%4*2+y%7*4-b+34)%7+(y>1899&y<2100?128:115),
m=c/31;
System.out.printf("%d/%d/%d",c%31+(m<5?0:1),m,y);
}
}
JavaScript (196 characters)
Using the Meeus Julian algorithm. This implementation assumes that a valid four-digit year was given.
y=~~prompt();d=(19*(y%19)+15)%30;x=d+(2*(y%4)+4*(y%7)-d+34)%7+114;m=~~(x/31);d=x%31+1;if(y>1899&&y<2100){d+=13;if(m==3&&d>31){d-=31;m++}if(m==4&&d>30){d-=30;m++}}alert((d<10?"0"+d:d)+"/0"+m+"/"+y)
Delphi 377 335 317 characters
Single line:
var y,c,n,i,j,m:integer;begin Val(ParamStr(1),y,n);c:=y div 100;n:=y-19*(y div 19);i:=c-c div 4-(c-((c-17)div 25))div 3+19*n+15;i:=i-30*(i div 30);i:=i-(i div 28 )*(1-(i div 28)*(29 div(i+1))*((21 -n)div 11));j:=y+y div 4 +i+2-c+c div 4;j:=j-7*(j div 7);m:=3+(i-j+40 )div 44;Write(i-j+28-31*(m div 4),'/',m,'/',y)end.
Formatted:
var
y,c,n,i,j,m:integer;
begin
Val(ParamStr(1),y,n);
c:=y div 100;
n:=y-19*(y div 19);
i:=c-c div 4-(c-((c-17)div 25))div 3+19*n+15;
i:=i-30*(i div 30);
i:=i-(i div 28 )*(1-(i div 28)*(29 div(i+1))*((21 -n)div 11));
j:=y+y div 4 +i+2-c+c div 4;j:=j-7*(j div 7);
m:=3+(i-j+40 )div 44;
Write(i-j+28-31*(m div 4),'/',m,'/',y)
end.
Tcl
Eastern Easter
(116 chars)
puts [expr 1+[incr d [expr ([set y $argv]%4*2+$y%7*4-[
set d [expr ($y%19*19+15)%30]]+34)%7+123]]%30]/[expr $d/30]/$y
Uses the Meeus algorithm. Takes the year as a command line argument, produces Eastern easter. Could be a one-liner, but it's slightly more readable when split...
Western Easter
(220 chars before splitting over lines)
interp alias {} tcl::mathfunc::s {} set;puts [expr [incr 3 [expr {
s(2,(s(4,$argv)%100/4*2-s(3,(19*s(0,$4%19)+s(1,$4/100)-$1/4-($1-($1+8)/25+46)
/3)%30)+$1%4*2-$4%4+4)%7)-($0+11*$3+22*$2)/451*7+114}]]%31+1]/[expr $3/31]/$4
Uses the Anonymous algorithm.
COBOL, 1262 chars
WORKING-STORAGE SECTION.
01 V-YEAR PIC S9(04) VALUE 2010.
01 V-DAY PIC S9(02) VALUE ZERO.
01 V-EASTERDAY PIC S9(04) VALUE ZERO.
01 V-CENTURY PIC S9(02) VALUE ZERO.
01 V-GOLDEN PIC S9(04) VALUE ZERO.
01 V-GREGORIAN PIC S9(04) VALUE ZERO.
01 V-CLAVIAN PIC S9(04) VALUE ZERO.
01 V-FACTOR PIC S9(06) VALUE ZERO.
01 V-EPACT PIC S9(06) VALUE ZERO.
PROCEDURE DIVISION
XX-CALCULATE EASTERDAY.
COMPUTE V-CENTURY = (V-YEAR / 100) + 1
COMPUTE V-GOLDEN= FUNCTION MOD(V-YEAR, 19) + 1
COMPUTE V-GREGORIAN = (V-CENTURY * 3) / 4 - 12
COMPUTE V-CLAVIAN
= (V-CENTURY * 8 + 5) / 25 - 5 - V-GREGORIAN
COMPUTE V-FACTOR
= (V-YEAR * 5) / 4 - V-GREGORIAN - 10
COMPUTE V-EPACT
= FUNCTION MOD((V-GOLDEN * 11 + 20 + V-CLAVIAN), 30)
IF V-EPACT = 24
ADD 1 TO V-EPACT
ELSE
IF V-EPACT = 25
IF V-GOLDEN > 11
ADD 1 TO V-EPACT
END-IF
END-IF
END-IF
COMPUTE V-DAY = 44 - V-EPACT
IF V-DAY < 21
ADD 30 TO V-DAY
END-IF
COMPUTE V-DAY
= V-DAY + 7 - (FUNCTION MOD((V-DAY + V-FACTOR), 7))
IF V-DAY <= 31
ADD 300 TO V-DAY GIVING V-EASTERDAY
ELSE
SUBTRACT 31 FROM V-DAY
ADD 400 TO V-DAY GIVING V-EASTERDAY
END-IF
.
XX-EXIT.
EXIT.
Note: Not mine, but I like it
EDIT: I added a char count with spaces but I don't know how spacing works in COBOL so I didn't change anything from original. ~vlad003
UPDATE: I've found where the OP got this code: http://www.tek-tips.com/viewthread.cfm?qid=31746&page=112. I'm just putting this here because the author deserves it. ~vlad003
C, 128 121 98 characters
Back to Meeus' algorithm. Computing the day in Julian, but adjusting for Gregorian (this still seems naive to me, but I cannot find a shorter alternative).
main(y,v){int d=(y%19*19+15)%30;d+=(y%4*2+y%7*4-d+34)%7+128;printf("%d/%d/%d",d%31+d/155,d/31,y);}
I have not found a case where floor(d/31) would actually be needed. Also, to account for dates in May, the m in Meeus' algorithm must be at least 5, therefore the DoM is greater than 154, hence the division.
The year is supplied as the number of program invocation arguments plus one, ie. for 1996 you must provide 1995 arguments. The range of ARG_MAX on modern systems is more than enough for this.
PS. I see Gabe has come to the same implementation in Python 2.3, surpassing me by one character. Aw. :(
PPS. Anybody looking at a tabular method for 1800-2099?
Edit - Shortened Gabe's answer to 88 characters:
y=input()
d=(y%19*19+15)%30
d+=(y%4*2+y%7*4-d+34)%7+128
print"%d/%d/%d"%(d%31+d/155,d/31,y)
BASIC, 973 chars
Sub EasterDate (d, m, y)
Dim FirstDig, Remain19, temp 'intermediate results
Dim tA, tB, tC, tD, tE 'table A to E results
FirstDig = y \ 100 'first 2 digits of year
Remain19 = y Mod 19 'remainder of year / 19
' calculate PFM date
temp = (FirstDig - 15) \ 2 + 202 - 11 * Remain19
Select Case FirstDig
Case 21, 24, 25, 27 To 32, 34, 35, 38
temp = temp - 1
Case 33, 36, 37, 39, 40
temp = temp - 2
End Select
temp = temp Mod 30
tA = temp + 21
If temp = 29 Then tA = tA - 1
If (temp = 28 And Remain19 > 10) Then tA = tA - 1
'find the next Sunday
tB = (tA - 19) Mod 7
tC = (40 - FirstDig) Mod 4
If tC = 3 Then tC = tC + 1
If tC > 1 Then tC = tC + 1
temp = y Mod 100
tD = (temp + temp \ 4) Mod 7
tE = ((20 - tB - tC - tD) Mod 7) + 1
d = tA + tE
'return the date
If d > 31 Then
d = d - 31
m = 4
Else
m = 3
End If
End Sub
Credit: Astronomical Society of South Australia
EDIT: I added a char count but I think many spaces could be removed; I don't know BASIC so I didn't make any changes to the code. ~vlad003
I'm not going to implement it, but I'd like to see one where the code e-mails the Pope, scans any answer that comes back for a date, and returns that.
Admittedly, the calling process may be blocked for a while.
Javascript 125 characters
This will handle years 1900 - 2199. Some of the other implementations cannot handle the year 2100 correctly.
y=prompt();k=(y%19*19+15)%30;e=(y%4*2+y%7*4-k+34)%7+k+127;m=~~(e/31);d=e%31+m-4+(y>2099);alert((d+=d<30||++m-34)+"/"+m+"/"+y)
Ungolfed..ish
// get the year to check.
y=prompt();
// do something crazy.
k=(y%19*19+15)%30;
// do some more crazy...
e=(y%4*2+y%7*4-k+34)%7+k+127;
// estimate the month. p.s. The "~~" is like Math.floor
m=~~(e/31);
// e % 31 => get the day
d=e%31;
if(m>4){
d += 1;
}
if(y > 2099){
d += 1;
}
// if d is less than 30 days add 1
if(d<30){
d += 1;
}
// otherwise, change month to May
// and adjusts the days to match up with May.
// e.g., 32nd of April is 2nd of May
else{
m += 1;
d = m - 34 + d;
}
// alert the result!
alert(d + "/" + m + "/" + y);
A fix for dates up to 2399.
I'm sure there is a way to algorithmically calculate dates beyond this but I don't want to figure it out.
y=prompt();k=(y%19*19+15)%30;e=(y%4*2+y%7*4-k+34)%7+k+127;m=~~(e/31);d=e%31+m-4+(y<2200?0:~~((y-2000)/100));alert((d+=d<30||++m-34)+"/"+m+"/"+y)
'VB .Net implementation of:
'http://aa.usno.navy.mil/faq/docs/easter.php
Dim y As Integer = 2010
Dim c, d, i, j, k, l, m, n As Integer
c = y \ 100
n = y - 19 * (y \ 19)
k = (c - 17) \ 25
i = c - c \ 4 - (c - k) \ 3 + 19 * n + 15
i = i - 30 * (i \ 30)
i = i - (i \ 28) * (1 - (i \ 28) * (29 \ (i + 1)) * ((21 - n) \ 11))
j = y + y \ 4 + i + 2 - c + c \ 4
j = j - 7 * (j \ 7)
l = i - j
m = 3 + (l + 40) \ 44
d = l + 28 - 31 * (m \ 4)
Easter = DateSerial(y, m, d)