# Day from year (Time calculation)

A date and time algorithm defined by ECMAScript.

Availability:

 ECMAScript edition - 2
Property/method value type:Number primitive

We need to calculate a reference point for each year number to know when it starts. We do this by calculating the number of days since the timer started.

All non-leap years have 365 days with the usual number of days in each month. Leap years have an extra day in February. The calculation shown below uses known leap years and non-leap years to adjust the day numbers, and yield the day number of the first day of the given year:

DayFromYear(y) =

365 * (y - 1970) +

floor((y - 1969) / 4) -

floor((y - 1901) / 100) +

floor((y - 1601) / 400)

This function will return the start day for the year number passed in as an argument. See the example code to see how to run this in a test harness.

## Example code:

```   // Test day from year
document.write("<TABLE BORDER=1>");
for(var ii=1980; ii<2009; ii++)
{
document.write("<TR>");
document.write("<TD>");
document.write(ii);
document.write("</TD>");
document.write("<TD>");
document.write(dayFromYear(ii));
document.write("</TD>");
document.write("</TR>");
}
document.write("</TABLE>");
// Day from year function
function dayFromYear(aYear)
{
var myDay = 365 * (aYear - 1970)             +
Math.floor((aYear - 1969) / 4)   -
Math.floor((aYear - 1901) / 100) +
Math.floor((aYear - 1601) / 400);
return myDay;
}```

 See also: Broken down time, Date from time, Date number, Day within year, Days in year, In leap year, Month from time, Time from year, Time range, Year from time

## Cross-references:

ECMA 262 edition 2 - section - 15.9.1.3

ECMA 262 edition 3 - section - 15.9.1.3