# Date and DateTime

The `Dates`

module provides two types for working with dates: `Date`

and `DateTime`

, representing day and millisecond precision, respectively; both are subtypes of the abstract `TimeType`

. The motivation for distinct types is simple: some operations are much simpler, both in terms of code and mental reasoning, when the complexities of greater precision don't have to be dealt with. For example, since the `Date`

type only resolves to the precision of a single date (i.e. no hours, minutes, or seconds), normal considerations for time zones, daylight savings/summer time, and leap seconds are unnecessary and avoided.

Both `Date`

and `DateTime`

are basically immutable `Int64`

wrappers. The single `instant`

field of either type is actually a `UTInstant{P}`

type, which represents a continuously increasing machine timeline based on the UT second [1]. The `DateTime`

type is not aware of time zones (*naive*, in Python parlance), analogous to a *LocalDateTime* in Java 8. Additional time zone functionality can be added through the TimeZones.jl package, which compiles the IANA time zone database. Both `Date`

and `DateTime`

are based on the ISO 8601 standard, which follows the proleptic Gregorian calendar. One note is that the ISO 8601 standard is particular about BC/BCE dates. In general, the last day of the BC/BCE era, 1-12-31 BC/BCE, was followed by 1-1-1 AD/CE, thus no year zero exists. The ISO standard, however, states that 1 BC/BCE is year zero, so `0000-12-31`

is the day before `0001-01-01`

, and year `-0001`

(yes, negative one for the year) is 2 BC/BCE, year `-0002`

is 3 BC/BCE, etc.

**[1]**

The notion of the UT second is actually quite fundamental. There are basically two different notions of time generally accepted, one based on the physical rotation of the earth (one full rotation = 1 day), the other based on the SI second (a fixed, constant value). These are radically different! Think about it, a "UT second", as defined relative to the rotation of the earth, may have a different absolute length depending on the day! Anyway, the fact that `Date`

and `DateTime`

are based on UT seconds is a simplifying, yet honest assumption so that things like leap seconds and all their complexity can be avoided. This basis of time is formally called UT or UT1. Basing types on the UT second basically means that every minute has 60 seconds and every day has 24 hours and leads to more natural calculations when working with calendar dates.

## Constructors

`Date`

and `DateTime`

types can be constructed by integer or `Period`

types, by parsing, or through adjusters (more on those later):

```
julia> DateTime(2013)
2013-01-01T00:00:00
julia> DateTime(2013,7)
2013-07-01T00:00:00
julia> DateTime(2013,7,1)
2013-07-01T00:00:00
julia> DateTime(2013,7,1,12)
2013-07-01T12:00:00
julia> DateTime(2013,7,1,12,30)
2013-07-01T12:30:00
julia> DateTime(2013,7,1,12,30,59)
2013-07-01T12:30:59
julia> DateTime(2013,7,1,12,30,59,1)
2013-07-01T12:30:59.001
julia> Date(2013)
2013-01-01
julia> Date(2013,7)
2013-07-01
julia> Date(2013,7,1)
2013-07-01
julia> Date(Dates.Year(2013),Dates.Month(7),Dates.Day(1))
2013-07-01
julia> Date(Dates.Month(7),Dates.Year(2013))
2013-07-01
```

`Date`

or `DateTime`

parsing is accomplished by the use of format strings. Format strings work by the notion of defining *delimited* or *fixed-width* "slots" that contain a period to parse and passing the text to parse and format string to a `Date`

or `DateTime`

constructor, of the form `Date("2015-01-01","y-m-d")`

or `DateTime("20150101","yyyymmdd")`

.

Delimited slots are marked by specifying the delimiter the parser should expect between two subsequent periods; so `"y-m-d"`

lets the parser know that between the first and second slots in a date string like `"2014-07-16"`

, it should find the `-`

character. The `y`

, `m`

, and `d`

characters let the parser know which periods to parse in each slot.

Fixed-width slots are specified by repeating the period character the number of times corresponding to the width with no delimiter between characters. So `"yyyymmdd"`

would correspond to a date string like `"20140716"`

. The parser distinguishes a fixed-width slot by the absence of a delimiter, noting the transition `"yyyymm"`

from one period character to the next.

Support for text-form month parsing is also supported through the `u`

and `U`

characters, for abbreviated and full-length month names, respectively. By default, only English month names are supported, so `u`

corresponds to "Jan", "Feb", "Mar", etc. And `U`

corresponds to "January", "February", "March", etc. Similar to other name=>value mapping functions `dayname()`

and `monthname()`

, custom locales can be loaded by passing in the `locale=>Dict{String,Int}`

mapping to the `MONTHTOVALUEABBR`

and `MONTHTOVALUE`

dicts for abbreviated and full-name month names, respectively.

One note on parsing performance: using the `Date(date_string,format_string)`

function is fine if only called a few times. If there are many similarly formatted date strings to parse however, it is much more efficient to first create a `Dates.DateFormat`

, and pass it instead of a raw format string.

```
julia> df = DateFormat("y-m-d");
julia> dt = Date("2015-01-01",df)
2015-01-01
julia> dt2 = Date("2015-01-02",df)
2015-01-02
```

You can also use the `dateformat""`

string macro. This macro creates the `DateFormat`

object once when the macro is expanded and uses the same `DateFormat`

object even if a code snippet is run multiple times.

```
julia> for i = 1:10^5
Date("2015-01-01", dateformat"y-m-d")
end
```

A full suite of parsing and formatting tests and examples is available in `tests/dates/io.jl`

.

## Durations/Comparisons

Finding the length of time between two `Date`

or `DateTime`

is straightforward given their underlying representation as `UTInstant{Day}`

and `UTInstant{Millisecond}`

, respectively. The difference between `Date`

is returned in the number of `Day`

, and `DateTime`

in the number of `Millisecond`

. Similarly, comparing `TimeType`

is a simple matter of comparing the underlying machine instants (which in turn compares the internal `Int64`

values).

```
julia> dt = Date(2012,2,29)
2012-02-29
julia> dt2 = Date(2000,2,1)
2000-02-01
julia> dump(dt)
Date
instant: Base.Dates.UTInstant{Base.Dates.Day}
periods: Base.Dates.Day
value: Int64 734562
julia> dump(dt2)
Date
instant: Base.Dates.UTInstant{Base.Dates.Day}
periods: Base.Dates.Day
value: Int64 730151
julia> dt > dt2
true
julia> dt != dt2
true
julia> dt + dt2
ERROR: MethodError: no method matching +(::Date, ::Date)
[...]
julia> dt * dt2
ERROR: MethodError: no method matching *(::Date, ::Date)
[...]
julia> dt / dt2
ERROR: MethodError: no method matching /(::Date, ::Date)
[...]
julia> dt - dt2
4411 days
julia> dt2 - dt
-4411 days
julia> dt = DateTime(2012,2,29)
2012-02-29T00:00:00
julia> dt2 = DateTime(2000,2,1)
2000-02-01T00:00:00
julia> dt - dt2
381110400000 milliseconds
```

## Accessor Functions

Because the `Date`

and `DateTime`

types are stored as single `Int64`

values, date parts or fields can be retrieved through accessor functions. The lowercase accessors return the field as an integer:

```
julia> t = Date(2014, 1, 31)
2014-01-31
julia> Dates.year(t)
2014
julia> Dates.month(t)
1
julia> Dates.week(t)
5
julia> Dates.day(t)
31
```

While propercase return the same value in the corresponding `Period`

type:

```
julia> Dates.Year(t)
2014 years
julia> Dates.Day(t)
31 days
```

Compound methods are provided, as they provide a measure of efficiency if multiple fields are needed at the same time:

```
julia> Dates.yearmonth(t)
(2014, 1)
julia> Dates.monthday(t)
(1, 31)
julia> Dates.yearmonthday(t)
(2014, 1, 31)
```

One may also access the underlying `UTInstant`

or integer value:

```
julia> dump(t)
Date
instant: Base.Dates.UTInstant{Base.Dates.Day}
periods: Base.Dates.Day
value: Int64 735264
julia> t.instant
Base.Dates.UTInstant{Base.Dates.Day}(735264 days)
julia> Dates.value(t)
735264
```

## Query Functions

Query functions provide calendrical information about a `TimeType`

. They include information about the day of the week:

```
julia> t = Date(2014, 1, 31)
2014-01-31
julia> Dates.dayofweek(t)
5
julia> Dates.dayname(t)
"Friday"
julia> Dates.dayofweekofmonth(t) # 5th Friday of January
5
```

Month of the year:

```
julia> Dates.monthname(t)
"January"
julia> Dates.daysinmonth(t)
31
```

As well as information about the `TimeType`

's year and quarter:

```
julia> Dates.isleapyear(t)
false
julia> Dates.dayofyear(t)
31
julia> Dates.quarterofyear(t)
1
julia> Dates.dayofquarter(t)
31
```

The `dayname()`

and `monthname()`

methods can also take an optional `locale`

keyword that can be used to return the name of the day or month of the year for other languages/locales. There are also versions of these functions returning the abbreviated names, namely `dayabbr()`

and `monthabbr()`

. First the mapping is loaded into the `LOCALES`

variable:

```
julia> french_months = ["janvier", "février", "mars", "avril", "mai", "juin",
"juillet", "août", "septembre", "octobre", "novembre", "décembre"];
julia> french_monts_abbrev = ["janv","févr","mars","avril","mai","juin",
"juil","août","sept","oct","nov","déc"];
julia> french_days = ["lundi","mardi","mercredi","jeudi","vendredi","samedi","dimanche"];
julia> Dates.LOCALES["french"] = Dates.DateLocale(french_months, french_monts_abbrev, french_days, [""]);
```

The above mentioned functions can then be used to perform the queries:

```
julia> Dates.dayname(t;locale="french")
"vendredi"
julia> Dates.monthname(t;locale="french")
"janvier"
julia> Dates.monthabbr(t;locale="french")
"janv"
```

Since the abbreviated versions of the days are not loaded, trying to use the function `dayabbr()`

will error.

```
julia> Dates.dayabbr(t;locale="french")
ERROR: BoundsError: attempt to access 1-element Array{String,1} at index [5]
Stacktrace:
[1] #dayabbr#6(::String, ::Function, ::Int64) at ./dates/query.jl:114
[2] (::Base.Dates.#kw##dayabbr)(::Array{Any,1}, ::Base.Dates.#dayabbr, ::Int64) at ./<missing>:0 (repeats 2 times)
```

## TimeType-Period Arithmetic

It's good practice when using any language/date framework to be familiar with how date-period arithmetic is handled as there are some tricky issues to deal with (though much less so for day-precision types).

The `Dates`

module approach tries to follow the simple principle of trying to change as little as possible when doing `Period`

arithmetic. This approach is also often known as *calendrical* arithmetic or what you would probably guess if someone were to ask you the same calculation in a conversation. Why all the fuss about this? Let's take a classic example: add 1 month to January 31st, 2014. What's the answer? Javascript will say March 3 (assumes 31 days). PHP says March 2 (assumes 30 days). The fact is, there is no right answer. In the `Dates`

module, it gives the result of February 28th. How does it figure that out? I like to think of the classic 7-7-7 gambling game in casinos.

Now just imagine that instead of 7-7-7, the slots are Year-Month-Day, or in our example, 2014-01-31. When you ask to add 1 month to this date, the month slot is incremented, so now we have 2014-02-31. Then the day number is checked if it is greater than the last valid day of the new month; if it is (as in the case above), the day number is adjusted down to the last valid day (28). What are the ramifications with this approach? Go ahead and add another month to our date, `2014-02-28 + Month(1) == 2014-03-28`

. What? Were you expecting the last day of March? Nope, sorry, remember the 7-7-7 slots. As few slots as possible are going to change, so we first increment the month slot by 1, 2014-03-28, and boom, we're done because that's a valid date. On the other hand, if we were to add 2 months to our original date, 2014-01-31, then we end up with 2014-03-31, as expected. The other ramification of this approach is a loss in associativity when a specific ordering is forced (i.e. adding things in different orders results in different outcomes). For example:

```
julia> (Date(2014,1,29)+Dates.Day(1)) + Dates.Month(1)
2014-02-28
julia> (Date(2014,1,29)+Dates.Month(1)) + Dates.Day(1)
2014-03-01
```

What's going on there? In the first line, we're adding 1 day to January 29th, which results in 2014-01-30; then we add 1 month, so we get 2014-02-30, which then adjusts down to 2014-02-28. In the second example, we add 1 month *first*, where we get 2014-02-29, which adjusts down to 2014-02-28, and *then* add 1 day, which results in 2014-03-01. One design principle that helps in this case is that, in the presence of multiple Periods, the operations will be ordered by the Periods' *types*, not their value or positional order; this means `Year`

will always be added first, then `Month`

, then `Week`

, etc. Hence the following *does* result in associativity and Just Works:

```
julia> Date(2014,1,29) + Dates.Day(1) + Dates.Month(1)
2014-03-01
julia> Date(2014,1,29) + Dates.Month(1) + Dates.Day(1)
2014-03-01
```

Tricky? Perhaps. What is an innocent `Dates`

user to do? The bottom line is to be aware that explicitly forcing a certain associativity, when dealing with months, may lead to some unexpected results, but otherwise, everything should work as expected. Thankfully, that's pretty much the extent of the odd cases in date-period arithmetic when dealing with time in UT (avoiding the "joys" of dealing with daylight savings, leap seconds, etc.).

As a bonus, all period arithmetic objects work directly with ranges:

```
julia> dr = Date(2014,1,29):Date(2014,2,3)
2014-01-29:1 day:2014-02-03
julia> collect(dr)
6-element Array{Date,1}:
2014-01-29
2014-01-30
2014-01-31
2014-02-01
2014-02-02
2014-02-03
julia> dr = Date(2014,1,29):Dates.Month(1):Date(2014,07,29)
2014-01-29:1 month:2014-07-29
julia> collect(dr)
7-element Array{Date,1}:
2014-01-29
2014-02-28
2014-03-29
2014-04-29
2014-05-29
2014-06-29
2014-07-29
```

## Adjuster Functions

As convenient as date-period arithmetics are, often the kinds of calculations needed on dates take on a *calendrical* or *temporal* nature rather than a fixed number of periods. Holidays are a perfect example; most follow rules such as "Memorial Day = Last Monday of May", or "Thanksgiving = 4th Thursday of November". These kinds of temporal expressions deal with rules relative to the calendar, like first or last of the month, next Tuesday, or the first and third Wednesdays, etc.

The `Dates`

module provides the *adjuster* API through several convenient methods that aid in simply and succinctly expressing temporal rules. The first group of adjuster methods deal with the first and last of weeks, months, quarters, and years. They each take a single `TimeType`

as input and return or *adjust to* the first or last of the desired period relative to the input.

```
julia> Dates.firstdayofweek(Date(2014,7,16)) # Adjusts the input to the Monday of the input's week
2014-07-14
julia> Dates.lastdayofmonth(Date(2014,7,16)) # Adjusts to the last day of the input's month
2014-07-31
julia> Dates.lastdayofquarter(Date(2014,7,16)) # Adjusts to the last day of the input's quarter
2014-09-30
```

The next two higher-order methods, `tonext()`

, and `toprev()`

, generalize working with temporal expressions by taking a `DateFunction`

as first argument, along with a starting `TimeType`

. A `DateFunction`

is just a function, usually anonymous, that takes a single `TimeType`

as input and returns a `Bool`

, `true`

indicating a satisfied adjustment criterion. For example:

```
julia> istuesday = x->Dates.dayofweek(x) == Dates.Tuesday # Returns true if the day of the week of x is Tuesday
(::#1) (generic function with 1 method)
julia> Dates.tonext(istuesday, Date(2014,7,13)) # 2014-07-13 is a Sunday
2014-07-15
julia> Dates.tonext(Date(2014,7,13), Dates.Tuesday) # Convenience method provided for day of the week adjustments
2014-07-15
```

This is useful with the do-block syntax for more complex temporal expressions:

```
julia> Dates.tonext(Date(2014,7,13)) do x
# Return true on the 4th Thursday of November (Thanksgiving)
Dates.dayofweek(x) == Dates.Thursday &&
Dates.dayofweekofmonth(x) == 4 &&
Dates.month(x) == Dates.November
end
2014-11-27
```

The `Base.filter()`

method can be used to obtain all valid dates/moments in a specified range:

```
# Pittsburgh street cleaning; Every 2nd Tuesday from April to November
# Date range from January 1st, 2014 to January 1st, 2015
julia> dr = Dates.Date(2014):Dates.Date(2015);
julia> filter(dr) do x
Dates.dayofweek(x) == Dates.Tue &&
Dates.April <= Dates.month(x) <= Dates.Nov &&
Dates.dayofweekofmonth(x) == 2
end
8-element Array{Date,1}:
2014-04-08
2014-05-13
2014-06-10
2014-07-08
2014-08-12
2014-09-09
2014-10-14
2014-11-11
```

Additional examples and tests are available in `test/dates/adjusters.jl`

.

## Period Types

Periods are a human view of discrete, sometimes irregular durations of time. Consider 1 month; it could represent, in days, a value of 28, 29, 30, or 31 depending on the year and month context. Or a year could represent 365 or 366 days in the case of a leap year. `Period`

types are simple `Int64`

wrappers and are constructed by wrapping any `Int64`

convertible type, i.e. `Year(1)`

or `Month(3.0)`

. Arithmetic between `Period`

of the same type behave like integers, and limited `Period-Real`

arithmetic is available.

```
julia> y1 = Dates.Year(1)
1 year
julia> y2 = Dates.Year(2)
2 years
julia> y3 = Dates.Year(10)
10 years
julia> y1 + y2
3 years
julia> div(y3,y2)
5
julia> y3 - y2
8 years
julia> y3 % y2
0 years
julia> div(y3,3) # mirrors integer division
3 years
```

## Rounding

`Date`

and `DateTime`

values can be rounded to a specified resolution (e.g., 1 month or 15 minutes) with `floor()`

, `ceil()`

, or `round()`

:

```
julia> floor(Date(1985, 8, 16), Dates.Month)
1985-08-01
julia> ceil(DateTime(2013, 2, 13, 0, 31, 20), Dates.Minute(15))
2013-02-13T00:45:00
julia> round(DateTime(2016, 8, 6, 20, 15), Dates.Day)
2016-08-07T00:00:00
```

Unlike the numeric `round()`

method, which breaks ties toward the even number by default, the `TimeType`

`round()`

method uses the `RoundNearestTiesUp`

rounding mode. (It's difficult to guess what breaking ties to nearest "even" `TimeType`

would entail.) Further details on the available `RoundingMode`

s can be found in the API reference.

Rounding should generally behave as expected, but there are a few cases in which the expected behaviour is not obvious.

### Rounding Epoch

In many cases, the resolution specified for rounding (e.g., `Dates.Second(30)`

) divides evenly into the next largest period (in this case, `Dates.Minute(1)`

). But rounding behaviour in cases in which this is not true may lead to confusion. What is the expected result of rounding a `DateTime`

to the nearest 10 hours?

```
julia> round(DateTime(2016, 7, 17, 11, 55), Dates.Hour(10))
2016-07-17T12:00:00
```

That may seem confusing, given that the hour (12) is not divisible by 10. The reason that `2016-07-17T12:00:00`

was chosen is that it is 17,676,660 hours after `0000-01-01T00:00:00`

, and 17,676,660 is divisible by 10.

As Julia `Date`

and `DateTime`

values are represented according to the ISO 8601 standard, `0000-01-01T00:00:00`

was chosen as base (or "rounding epoch") from which to begin the count of days (and milliseconds) used in rounding calculations. (Note that this differs slightly from Julia's internal representation of `Date`

s using Rata Die notation; but since the ISO 8601 standard is most visible to the end user, `0000-01-01T00:00:00`

was chosen as the rounding epoch instead of the `0000-12-31T00:00:00`

used internally to minimize confusion.)

The only exception to the use of `0000-01-01T00:00:00`

as the rounding epoch is when rounding to weeks. Rounding to the nearest week will always return a Monday (the first day of the week as specified by ISO 8601). For this reason, we use `0000-01-03T00:00:00`

(the first day of the first week of year 0000, as defined by ISO 8601) as the base when rounding to a number of weeks.

Here is a related case in which the expected behaviour is not necessarily obvious: What happens when we round to the nearest `P(2)`

, where `P`

is a `Period`

type? In some cases (specifically, when `P <: Dates.TimePeriod`

) the answer is clear:

```
julia> round(DateTime(2016, 7, 17, 8, 55, 30), Dates.Hour(2))
2016-07-17T08:00:00
julia> round(DateTime(2016, 7, 17, 8, 55, 30), Dates.Minute(2))
2016-07-17T08:56:00
```

This seems obvious, because two of each of these periods still divides evenly into the next larger order period. But in the case of two months (which still divides evenly into one year), the answer may be surprising:

```
julia> round(DateTime(2016, 7, 17, 8, 55, 30), Dates.Month(2))
2016-07-01T00:00:00
```

Why round to the first day in July, even though it is month 7 (an odd number)? The key is that months are 1-indexed (the first month is assigned 1), unlike hours, minutes, seconds, and milliseconds (the first of which are assigned 0).

This means that rounding a `DateTime`

to an even multiple of seconds, minutes, hours, or years (because the ISO 8601 specification includes a year zero) will result in a `DateTime`

with an even value in that field, while rounding a `DateTime`

to an even multiple of months will result in the months field having an odd value. Because both months and years may contain an irregular number of days, whether rounding to an even number of days will result in an even value in the days field is uncertain.

See the API reference for additional information on methods exported from the `Dates`

module.