# Year from time (Time calculation)

A date and time algorithm defined as part of ECMAScript.

Availability:

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

Given a time value, it is helpful to be able to compute a year number from it. The ECMA compliant implementations use the extrapolated Gregorian system to map days to years and compute a time relative to the reference date of 01-January-1970 UTC. From there the year number can be established.

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, and then use that to work out the time in milliseconds when the year started:

```   DayFromYear(y) =
365 * (y - 1970) +
floor((y - 1969) / 4) -
floor((y - 1901) / 100) +
floor((y - 1601) / 400)
msPerDay = 86400000

TimeFromYear(y) = msPerDay * DayFromYear(y)```

YearFromTime(t) = The largest integer y to make TimeFromYear(y) less than or equal to t.

## Example code:

```   // Work out year number from time
var msPerDay = 86400000;
var myMilliseconds = Number(new Date());
document.write(yearFromTime(myMilliseconds));
// Return year number based on time value
function yearFromTime(aMilliseconds)
{
var myStartYear = 1970;

while(timeFromYear(myStartYear) < myMilliseconds)
{
myStartYear++
}

return myStartYear-1;
}
// Work out milliseconds at start of year
function timeFromYear(aYear)
{
var myTime = msPerDay * dayFromYear(aYear);
return myTime;
}
// Work out day number from milliseconds
function dayNumber(aMillisecondTime)
{
var myDay = Math.floor(aMillisecondTime/msPerDay);

return myDay;
}
// 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 from year, Day within year, In leap year, Month from time, Time from year, Year number

## Cross-references:

ECMA 262 edition 2 - section - 15.9.1.3

ECMA 262 edition 3 - section - 15.9.1.3