# `Calendrical.Roc`

Implementation of the Republic of China (Minguo) calendar.

The ROC calendar is the proleptic Gregorian calendar with year
numbering starting from the founding of the Republic of China on
**1 January 1912**:

    roc_year = gregorian_year - 1911

So 1 ROC = 1912 CE and 113 ROC = 2024 CE. The calendar is the
official calendar of Taiwan and is also used in some legal contexts
in mainland China for documents that pre-date 1949.

Months and leap years follow the standard proleptic Gregorian rules
exactly. Day boundaries are at midnight.

## Reference

- CLDR `:roc` calendar type. The CLDR era data places the start of
  the *Minguo Era* (`:roc`) at proleptic Gregorian `1912-01-01` and
  the *Before R.O.C.* era (`:broc`) at all earlier dates.

# `day`

```elixir
@type day() :: 1..31
```

# `month`

```elixir
@type month() :: 1..12
```

# `year`

```elixir
@type year() :: integer()
```

# `calendar_base`

Identifies whether this calendar is month
or week based.

# `calendar_year`

```elixir
@spec calendar_year(Calendar.year(), Calendar.month(), Calendar.day()) ::
  Calendar.year()
```

Returns the calendar year as displayed
on rendered calendars.

# `cldr_calendar_type`

Defines the CLDR calendar type for this calendar.

This type is used in support of `Calendrical.
localize/3`.

# `cyclic_year`

```elixir
@spec cyclic_year(Calendar.year(), Calendar.month(), Calendar.day()) ::
  Calendar.year()
```

Returns the cyclic year as displayed
on rendered calendars.

# `date_from_iso_days`

```elixir
@spec date_from_iso_days(integer()) :: {year(), month(), day()}
```

Returns a ROC `{year, month, day}` tuple for the given ISO day
number.

### Arguments

* `iso_days` is an integer count of days since the proleptic
  ISO epoch.

### Returns

* A three-tuple `{year, month, day}` in the ROC calendar.

### Examples

    iex> Calendrical.Roc.date_from_iso_days(739_252)
    {113, 1, 2}

# `date_to_iso_days`

```elixir
@spec date_to_iso_days(year(), month(), day()) :: integer()
```

Returns the number of ISO days for the given ROC `year`, `month`,
and `day`.

### Arguments

* `year` is any ROC year as an integer.

* `month` is a month in the range `1..12`.

* `day` is a day-of-month.

### Returns

* An integer count of days since the proleptic ISO epoch.

### Examples

    iex> Calendrical.Roc.date_to_iso_days(115, 1, 1)
    739982

# `day_of_era`

```elixir
@spec day_of_era(Calendar.year(), Calendar.month(), Calendar.day()) ::
  {day :: Calendar.day(), era :: Calendar.era()}
```

Calculates the day and era from the given
`year`, `month`, and `day`.

By default we consider on two eras: before the epoch
and on-or-after the epoch.

# `day_of_year`

```elixir
@spec day_of_year(Calendar.year(), Calendar.month(), Calendar.day()) :: Calendar.day()
```

Calculates the day of the year from the given
`year`, `month`, and `day`.

# `days_in_month`

```elixir
@spec days_in_month(Calendar.month()) ::
  Calendar.month()
  | {:ambiguous, Range.t() | [pos_integer()]}
  | {:error, :undefined}
```

Returns how many days there are in the given month.

Must be implemented in derived calendars because
we cannot know what the calendar format is.

# `days_in_month`

```elixir
@spec days_in_month(Calendar.year(), Calendar.month()) :: Calendar.month()
@spec days_in_month(year(), month()) :: 28..31
```

Returns the number of days in the given ROC `year` and `month`.

### Arguments

* `year` is any ROC year as an integer.

* `month` is a month in the range `1..12`.

### Returns

* The number of days in the month (`28..31`).

### Examples

    iex> Calendrical.Roc.days_in_month(115, 2)
    28

    iex> Calendrical.Roc.days_in_month(113, 2)
    29

# `days_in_week`

Returns the number days in a a week.

# `days_in_year`

```elixir
@spec days_in_year(year()) :: 365..366
```

Returns the number of days in the given ROC `year`.

### Arguments

* `year` is any ROC year as an integer.

### Returns

* `365` for an ordinary year or `366` for a leap year.

### Examples

    iex> Calendrical.Roc.days_in_year(115)
    365

    iex> Calendrical.Roc.days_in_year(113)
    366

# `epoch`

# `epoch_day_of_week`

# `extended_year`

```elixir
@spec extended_year(Calendar.year(), Calendar.month(), Calendar.day()) ::
  Calendar.year()
```

Returns the extended year as displayed
on rendered calendars.

# `first_day_of_week`

# `gregorian_offset`

```elixir
@spec gregorian_offset() :: 1911
```

Returns the offset (in years) between the ROC era and the proleptic
Gregorian calendar.

Adding this offset to a ROC year yields the corresponding Gregorian
year.

### Returns

* The integer `1911`.

### Examples

    iex> Calendrical.Roc.gregorian_offset()
    1911

# `gregorian_year`

```elixir
@spec gregorian_year(year()) :: integer()
```

Returns the Gregorian year corresponding to the given ROC year.

### Arguments

* `roc_year` is any ROC year as an integer.

### Returns

* An integer Gregorian year (1911 more than the input).

### Examples

    iex> Calendrical.Roc.gregorian_year(115)
    2026

# `iso_week_of_year`

```elixir
@spec iso_week_of_year(Calendar.year(), Calendar.month(), Calendar.day()) ::
  {:error, :not_defined}
```

Calculates the ISO week of the year from the
given `year`, `month`, and `day`.

By default this function always returns
`{:error, :not_defined}`.

# `last_day_of_week`

# `leap_year?`

```elixir
@spec leap_year?(year()) :: boolean()
```

Returns whether the given ROC `year` is a leap year.

The underlying calendar is proleptic Gregorian, so the leap-year
rule applies to the corresponding Gregorian year.

### Arguments

* `year` is any ROC year as an integer.

### Returns

* `true` if the year contains 366 days; otherwise `false`.

### Examples

    iex> Calendrical.Roc.leap_year?(113)
    true

    iex> Calendrical.Roc.leap_year?(115)
    false

# `month`

Returns a `t:Date.Range.t/0` representing
a given month of a year.

# `month_of_year`

```elixir
@spec month_of_year(Calendar.year(), Calendar.month(), Calendar.day()) ::
  Calendar.month() | {Calendar.month(), Calendrical.leap_month?()}
```

Returns the month of the year from the given
`year`, `month`, and `day`.

# `months_in_leap_year`

Returns the number of months in a leap year.

# `months_in_ordinary_year`

Returns the number of months in a normal year.

# `months_in_year`

Returns the number of months in a year, without a year.

Returns an integer when every year has the same number of
months, or `{:ambiguous, first..last}` for lunisolar calendars
whose year length varies (e.g. the Hebrew calendar's 12 or 13
months).

# `months_in_year`

Returns the number of months in a
given `year`.

# `naive_datetime_from_iso_days`

```elixir
@spec naive_datetime_from_iso_days(Calendar.iso_days()) ::
  {Calendar.year(), Calendar.month(), Calendar.day(), Calendar.hour(),
   Calendar.minute(), Calendar.second(), Calendar.microsecond()}
```

Converts the `t:Calendar.iso_days` format to the
datetime format specified by this calendar.

# `naive_datetime_to_iso_days`

```elixir
@spec naive_datetime_to_iso_days(
  Calendar.year(),
  Calendar.month(),
  Calendar.day(),
  Calendar.hour(),
  Calendar.minute(),
  Calendar.second(),
  Calendar.microsecond()
) :: Calendar.iso_days()
```

Returns the `t:Calendar.iso_days` format of
the specified date.

# `periods_in_year`

Returns the number of periods in a given
`year`. A period corresponds to a month
in month-based calendars and a week in
week-based calendars.

# `plus`

Adds an `increment` number of `date_part`s
to a `year-month-day`.

`date_part` can be `:years`, `:months`, `:weeks` or `:days`.

# `quarter`

Returns a `t:Date.Range.t/0` representing
a given quarter of a year.

# `quarter_of_year`

```elixir
@spec quarter_of_year(Calendar.year(), Calendar.month(), Calendar.day()) ::
  Calendrical.quarter()
```

Returns the quarter of the year from the given
`year`, `month`, and `day`.

# `related_gregorian_year`

```elixir
@spec related_gregorian_year(Calendar.year(), Calendar.month(), Calendar.day()) ::
  Calendar.year()
```

Returns the related Gregorian year as displayed
on rendered calendars.

Per TR35 this is the Gregorian year in which this
calendar's `year` begins, so it is constant for every
date of the calendar year.

# `roc_year`

```elixir
@spec roc_year(integer()) :: year()
```

Returns the ROC year corresponding to the given Gregorian year.

### Arguments

* `gregorian_year` is any proleptic Gregorian year as an integer.

### Returns

* An integer ROC year (1911 less than the input).

### Examples

    iex> Calendrical.Roc.roc_year(2026)
    115

# `valid_date?`

```elixir
@spec valid_date?(year(), month(), day()) :: boolean()
```

Returns whether the given `year`, `month`, and `day` form a valid
ROC date.

### Arguments

* `year` is any ROC year as an integer.

* `month` is a month in the range `1..12`.

* `day` is a day-of-month.

### Returns

* `true` if the date is valid; otherwise `false`.

### Examples

    iex> Calendrical.Roc.valid_date?(115, 1, 31)
    true

    iex> Calendrical.Roc.valid_date?(115, 2, 29)
    false

# `week`

Returns a `t:Date.Range.t/0` representing
a given week of a year.

# `week_of_month`

```elixir
@spec week_of_month(Calendar.year(), Calendar.month(), Calendar.day()) ::
  {pos_integer(), pos_integer()} | {:error, :not_defined}
```

Calculates the week of the year from the given
`year`, `month`, and `day`.

By default this function always returns
`{:error, :not_defined}`.

# `week_of_year`

```elixir
@spec week_of_year(Calendar.year(), Calendar.month(), Calendar.day()) ::
  {:error, :not_defined}
```

Calculates the week of the year from the given
`year`, `month`, and `day`.

By default this function always returns
`{:error, :not_defined}`.

# `weeks_in_year`

Returns the number of weeks in a
given `year`.

# `year`

Returns a `t:Date.Range.t/0` representing
a given year.

# `year_of_era`

```elixir
@spec year_of_era(Calendar.year()) :: {year :: Calendar.year(), era :: Calendar.era()}
```

Calculates the year and era from the given `year`.

# `year_of_era`

```elixir
@spec year_of_era(Calendar.year(), Calendar.month(), Calendar.day()) ::
  {year :: Calendar.year(), era :: Calendar.era()}
```

Calculates the year and era from the given `date`.

---

*Consult [api-reference.md](api-reference.md) for complete listing*
