Difference between revisions of "Template:JD-day"

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imported>Verdy p
m (much faster, more precise, and fully tested formula (see fr:JULIANDAY.DAY for more info))
imported>Verdy p
m
Line 1: Line 1:
<includeonly>{{#expr:((({{{1}}})+32044 round 0)mod 146097+36524-(((({{{1}}})+32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524)mod 1461-((((({{{1}}})+32044 round 0)mod 146097+36524-(((({{{1}}})+32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524)mod 1461/365+0.5 round 0)*3/4+0.5 round 0)*365-(((((((({{{1}}})+32044 round 0)mod 146097+36524-(((({{{1}}})+32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524)mod 1461-((((({{{1}}})+32044 round 0)mod 146097+36524-(((({{{1}}})+32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524)mod 1461/365+0.5 round 0)*3/4+0.5 round 0)*365+365)*5+308)/153-0.5 round 0)+2)*153/5+0.5 round 0)+489}}</includeonly><noinclude>
+
<includeonly>{{#expr:((({{{1}}})+32044 round 0)mod 146097+36524-(((({{{1}}})+32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524)mod 1461-((((({{{1}}})+32044 round 0)mod 146097+36524-(((({{{1}}})+32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524)mod 1461/365+0.5 round 0)*3/4+0.5 round 0)*365-(((((((({{{1}}})+32044 round 0)mod 146097+36524-(((({{{1}}})+32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524)mod 1461-((((({{{1}}})+32044 round 0)mod 146097+36524-(((({{{1}}})+32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524)mod 1461/365+0.5 round 0)*3/4+0.5 round 0)*365+365)*5+308)/153-0.5 round 0)+2)*153/5+0.5 round 0)+489}}</includeonly><noinclude>{{Template documentation}}
  
{{JD-day|{{JD}}}}
+
This template takes a [[Julian date]] and returns the day of month number.  For example, the current dayof month is <nowiki>{{JD-day|{{JD}}}}</nowiki> = {{JD-day|{{JD}}}}.
  
 +
; Computing formula (partially indented)<nowiki>:</nowiki>
 +
<pre>{{#expr:
 +
    (( ({{{1}}}) +32044 round 0)mod 146097+36524-
 +
    ((( ({{{1}}}) +32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524
 +
    )mod 1461-
 +
  (((( ({{{1}}}) +32044 round 0)mod 146097+36524-
 +
    ((( ({{{1}}}) +32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524
 +
    )mod 1461/365+0.5 round 0)*3/4+0.5 round 0)*365-
 +
((((((( ({{{1}}}) +32044 round 0)mod 146097+36524-
 +
    ((( ({{{1}}}) +32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524
 +
    )mod 1461-
 +
  (((( ({{{1}}}) +32044 round 0)mod 146097+36524-
 +
    ((( ({{{1}}}) +32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524
 +
    )mod 1461/365+0.5 round 0)*3/4+0.5 round 0)*365+365)*5+308)/153-0.5 round 0)+2
 +
    )*153/5+0.5 round 0)+489}}
 +
}}</pre>
 +
 +
; Examples with a secular non-leap year (of secular rank 3)<nowiki>:</nowiki>
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 1| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 1| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 1|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 1|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 2| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 2| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 2|28}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 2|28}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 3| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 3| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 3|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 3|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 4| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 4| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 4|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 4|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 5| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 5| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 5|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 5|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 6| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 6| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 6|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 6|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 7| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 7| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 7|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 7|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 8| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 8| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 8|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 8|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 9| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 9| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900| 9|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900| 9|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900|10| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900|10| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900|10|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900|10|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900|11| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900|11| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900|11|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900|11|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900|12| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900|12| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|1900|12|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|1900|12|31}}}}".
 +
 +
; Examples with a secular leap year (of secular rank 4)<nowiki>:</nowiki>
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 1| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 1| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 1|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 1|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 2| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 2| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 2|29}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 2|29}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 3| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 3| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 3|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 3|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 4| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 4| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 4|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 4|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 5| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 5| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 5|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 5|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 6| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 6| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 6|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 6|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 7| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 7| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 7|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 7|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 8| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 8| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 8|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 8|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 9| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 9| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000| 9|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000| 9|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000|10| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000|10| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000|10|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000|10|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000|11| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000|11| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000|11|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000|11|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000|12| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000|12| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2000|12|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2000|12|31}}}}".
 +
 +
; Examples with a non-secular non-leap year (of yearly rank 1)<nowiki>:</nowiki>
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 1| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 1| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 1|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 1|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 2| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 2| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 2|28}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 2|28}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 3| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 3| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 3|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 3|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 4| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 4| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 4|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 4|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 5| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 5| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 5|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 5|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 6| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 6| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 6|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 6|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 7| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 7| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 7|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 7|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 8| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 8| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 8|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 8|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 9| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 9| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001| 9|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001| 9|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001|10| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001|10| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001|10|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001|10|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001|11| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001|11| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001|11|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001|11|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001|12| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001|12| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2001|12|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2001|12|31}}}}".
 +
 +
; Examples with a non-secular non-leap year (of yearly rank 2)<nowiki>:</nowiki>
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 1| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 1| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 1|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 1|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 2| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 2| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 2|28}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 2|28}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 3| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 3| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 3|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 3|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 4| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 4| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 4|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 4|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 5| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 5| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 5|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 5|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 6| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 6| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 6|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 6|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 7| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 7| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 7|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 7|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 8| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 8| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 8|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 8|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 9| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 9| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002| 9|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002| 9|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002|10| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002|10| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002|10|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002|10|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002|11| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002|11| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002|11|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002|11|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002|12| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002|12| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2002|12|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2002|12|31}}}}".
 +
 +
; Examples with a non-secular non-leap year (of yearly rank 3)<nowiki>:</nowiki>
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 1| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 1| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 1|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 1|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 2| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 2| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 2|28}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 2|28}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 3| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 3| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 3|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 3|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 4| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 4| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 4|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 4|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 5| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 5| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 5|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 5|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 6| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 6| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 6|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 6|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 7| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 7| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 7|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 7|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 8| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 8| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 8|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 8|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 9| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 9| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003| 9|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003| 9|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003|10| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003|10| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003|10|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003|10|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003|11| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003|11| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003|11|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003|11|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003|12| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003|12| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2003|12|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2003|12|31}}}}".
 +
 +
; Examples with a non-secular leap year (of yearly rank 4)<nowiki>:</nowiki>
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 1| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 1| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 1|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 1|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 2| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 2| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 2|29}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 2|29}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 3| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 3| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 3|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 3|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 4| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 4| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 4|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 4|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 5| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 5| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 5|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 5|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 6| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 6| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 6|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 6|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 7| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 7| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 7|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 7|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 8| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 8| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 8|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 8|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 9| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 9| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004| 9|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004| 9|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004|10| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004|10| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004|10|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004|10|31}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004|11| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004|11| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004|11|30}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004|11|30}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004|12| 1}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004|12| 1}}}}".
 +
* <nowiki>{{JD-day|{{JULIANDAY|2004|12|31}}}}</nowiki> = "{{JD-day|{{JULIANDAY|2004|12|31}}}}".
 +
 +
; See also<nowiki>:</nowiki>
 +
* [[Template:JD-year]]
 +
* [[Template:JD-month]]
 +
* ''For more info, see French article [[:fr:Formules de calcul du calendrier grégorien]].''
 +
 +
[[Category:Date math]]
 
[[Category:Templates using ParserFunctions|{{PAGENAME}}]]
 
[[Category:Templates using ParserFunctions|{{PAGENAME}}]]
[[Category:Date math]]
 
  
 
[[fr:Modèle:JULIANDAY.DAY]]
 
[[fr:Modèle:JULIANDAY.DAY]]
 
 
</noinclude>
 
</noinclude>

Revision as of 20:56, 29 April 2006

Template:Template documentation

This template takes a Julian date and returns the day of month number. For example, the current dayof month is {{JD-day|{{JD}}}} = 6.

Computing formula (partially indented):
{{#expr:
     (( ({{{1}}}) +32044 round 0)mod 146097+36524-
    ((( ({{{1}}}) +32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524
     )mod 1461-
   (((( ({{{1}}}) +32044 round 0)mod 146097+36524-
    ((( ({{{1}}}) +32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524
     )mod 1461/365+0.5 round 0)*3/4+0.5 round 0)*365-
((((((( ({{{1}}}) +32044 round 0)mod 146097+36524-
    ((( ({{{1}}}) +32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524
     )mod 1461-
   (((( ({{{1}}}) +32044 round 0)mod 146097+36524-
    ((( ({{{1}}}) +32044 round 0)mod 146097/36524+0.5 round 0)*3/4+0.5 round 0)*36524
     )mod 1461/365+0.5 round 0)*3/4+0.5 round 0)*365+365)*5+308)/153-0.5 round 0)+2
     )*153/5+0.5 round 0)+489}}
}}
Examples with a secular non-leap year (of secular rank 3):
  • {{JD-day|{{JULIANDAY|1900| 1| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|1900| 1|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|1900| 2| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|1900| 2|28}}}} = "28".
  • {{JD-day|{{JULIANDAY|1900| 3| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|1900| 3|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|1900| 4| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|1900| 4|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|1900| 5| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|1900| 5|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|1900| 6| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|1900| 6|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|1900| 7| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|1900| 7|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|1900| 8| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|1900| 8|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|1900| 9| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|1900| 9|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|1900|10| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|1900|10|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|1900|11| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|1900|11|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|1900|12| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|1900|12|31}}}} = "31".
Examples with a secular leap year (of secular rank 4):
  • {{JD-day|{{JULIANDAY|2000| 1| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2000| 1|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2000| 2| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2000| 2|29}}}} = "29".
  • {{JD-day|{{JULIANDAY|2000| 3| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2000| 3|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2000| 4| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2000| 4|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2000| 5| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2000| 5|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2000| 6| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2000| 6|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2000| 7| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2000| 7|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2000| 8| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2000| 8|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2000| 9| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2000| 9|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2000|10| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2000|10|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2000|11| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2000|11|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2000|12| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2000|12|31}}}} = "31".
Examples with a non-secular non-leap year (of yearly rank 1):
  • {{JD-day|{{JULIANDAY|2001| 1| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2001| 1|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2001| 2| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2001| 2|28}}}} = "28".
  • {{JD-day|{{JULIANDAY|2001| 3| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2001| 3|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2001| 4| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2001| 4|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2001| 5| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2001| 5|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2001| 6| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2001| 6|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2001| 7| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2001| 7|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2001| 8| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2001| 8|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2001| 9| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2001| 9|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2001|10| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2001|10|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2001|11| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2001|11|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2001|12| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2001|12|31}}}} = "31".
Examples with a non-secular non-leap year (of yearly rank 2):
  • {{JD-day|{{JULIANDAY|2002| 1| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2002| 1|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2002| 2| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2002| 2|28}}}} = "28".
  • {{JD-day|{{JULIANDAY|2002| 3| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2002| 3|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2002| 4| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2002| 4|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2002| 5| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2002| 5|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2002| 6| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2002| 6|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2002| 7| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2002| 7|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2002| 8| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2002| 8|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2002| 9| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2002| 9|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2002|10| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2002|10|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2002|11| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2002|11|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2002|12| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2002|12|31}}}} = "31".
Examples with a non-secular non-leap year (of yearly rank 3):
  • {{JD-day|{{JULIANDAY|2003| 1| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2003| 1|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2003| 2| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2003| 2|28}}}} = "28".
  • {{JD-day|{{JULIANDAY|2003| 3| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2003| 3|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2003| 4| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2003| 4|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2003| 5| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2003| 5|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2003| 6| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2003| 6|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2003| 7| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2003| 7|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2003| 8| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2003| 8|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2003| 9| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2003| 9|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2003|10| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2003|10|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2003|11| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2003|11|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2003|12| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2003|12|31}}}} = "31".
Examples with a non-secular leap year (of yearly rank 4):
  • {{JD-day|{{JULIANDAY|2004| 1| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2004| 1|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2004| 2| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2004| 2|29}}}} = "29".
  • {{JD-day|{{JULIANDAY|2004| 3| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2004| 3|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2004| 4| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2004| 4|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2004| 5| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2004| 5|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2004| 6| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2004| 6|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2004| 7| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2004| 7|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2004| 8| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2004| 8|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2004| 9| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2004| 9|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2004|10| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2004|10|31}}}} = "31".
  • {{JD-day|{{JULIANDAY|2004|11| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2004|11|30}}}} = "30".
  • {{JD-day|{{JULIANDAY|2004|12| 1}}}} = "1".
  • {{JD-day|{{JULIANDAY|2004|12|31}}}} = "31".
See also:

fr:Modèle:JULIANDAY.DAY