Calendrical. Ethiopic. AmeteAlem
(Calendrical v0.13.0)
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Implementation of the Ethiopic calendar with the Amete Alem (Era of the World, Anno Mundi) year numbering.
This calendar is structurally identical to Calendrical.Ethiopic โ
same 13-month layout, same leap-year rule, same days-in-month โ but
the year is counted from the traditional Ethiopian Christian date
of the creation of the world rather than from the Era of Mercy:
amete_alem_year = amete_mihret_year + 5500So 1 Amete Alem = -5499 Julian = -5492-07-17 proleptic Gregorian (per CLDR era data) and modern Ethiopic year 2017 (Amete Mihret) = 7517 Amete Alem.
Days are assumed to begin at midnight rather than at sunset.
Reference
- Dershowitz & Reingold, Calendrical Calculations (4th ed.), ยง4.2 ("Ethiopic and Coptic Calendars").
- CLDR
:ethiopic_amete_alemcalendar type. The CLDR era data places the aa era at proleptic Gregorian-5492-07-17.
See Calendrical.Ethiopic for the month structure and the
mod(year, 4) == 3 leap-year rule.
Summary
Functions
Returns the Amete Alem year for the given Amete Mihret
(Calendrical.Ethiopic) year.
Returns the corresponding Calendrical.Ethiopic (Amete Mihret)
year for the given Amete Alem year.
Identifies whether this calendar is month or week based.
Returns the calendar year as displayed on rendered calendars.
Defines the CLDR calendar type for this calendar.
Returns the cyclic year as displayed on rendered calendars.
Returns an Amete Alem {year, month, day} tuple for the given
ISO day number.
Returns the number of ISO days for the given Amete Alem year,
month, and day.
Calculates the day and era from the given
year, month, and day.
Returns the day of the week for the given Amete Alem year,
month, and day.
Calculates the day of the year from the given
year, month, and day.
Returns how many days there are in the given month.
Returns the number of days in the given Amete Alem year and
month.
Returns the number days in a a week.
Returns the number of days in the given Amete Alem year.
Returns the offset (in years) between the Amete Alem (Era of the
World) and the Amete Mihret (Era of Mercy) used by
Calendrical.Ethiopic.
Returns the extended year as displayed on rendered calendars.
Calculates the ISO week of the year from the
given year, month, and day.
Returns whether the given Amete Alem year is a leap year.
Returns a Date.Range.t/0 representing
a given month of a year.
Returns the month of the year from the given
year, month, and day.
Returns the number of months in a leap year.
Returns the number of months in a normal year.
Returns the number of months in a year, without a year.
Returns the number of months in a
given year.
Converts the t:Calendar.iso_days format to the
datetime format specified by this calendar.
Returns the t:Calendar.iso_days format of
the specified date.
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.
Adds an increment number of date_parts
to a year-month-day.
Returns a Date.Range.t/0 representing
a given quarter of a year.
Returns {:error, :not_defined} because the Ethiopic calendar
does not define quarters; the year has 13 months and so does not
divide evenly into four quarters.
Returns the related Gregorian year as displayed on rendered calendars.
Returns whether the given year, month, and day form a valid
Amete Alem date.
Returns a Date.Range.t/0 representing
a given week of a year.
Calculates the week of the year from the given
year, month, and day.
Calculates the week of the year from the given
year, month, and day.
Returns the number of weeks in a
given year.
Returns a Date.Range.t/0 representing
a given year.
Calculates the year and era from the given year.
Calculates the year and era from the given date.
Types
Functions
Returns the Amete Alem year for the given Amete Mihret
(Calendrical.Ethiopic) year.
Arguments
amete_mihret_yearis any Amete Mihret (Ethiopic) year as an integer.
Returns
- An integer Amete Alem year (5500 more than the input).
Examples
iex> Calendrical.Ethiopic.AmeteAlem.amete_alem_year(2018)
7518
Returns the corresponding Calendrical.Ethiopic (Amete Mihret)
year for the given Amete Alem year.
Arguments
amete_alem_yearis any Amete Alem year as an integer.
Returns
- An integer Amete Mihret year (5500 less than the input).
Examples
iex> Calendrical.Ethiopic.AmeteAlem.amete_mihret_year(7518)
2018
Identifies whether this calendar is month or week based.
@spec calendar_year(Calendar.year(), Calendar.month(), Calendar.day()) :: Calendar.year()
Returns the calendar year as displayed on rendered calendars.
Defines the CLDR calendar type for this calendar.
This type is used in support of Calendrical. localize/3.
@spec cyclic_year(Calendar.year(), Calendar.month(), Calendar.day()) :: Calendar.year()
Returns the cyclic year as displayed on rendered calendars.
Returns an Amete Alem {year, month, day} tuple for the given
ISO day number.
Arguments
iso_daysis an integer count of days since the proleptic ISO epoch.
Returns
- A three-tuple
{year, month, day}in Amete Alem numbering.
Examples
iex> Calendrical.Ethiopic.AmeteAlem.date_from_iso_days(740_000)
{7518, 5, 11}
Returns the number of ISO days for the given Amete Alem year,
month, and day.
Arguments
yearis any Amete Alem year as an integer.monthis an Ethiopic month in the range1..13.dayis an Ethiopic day-of-month.
Returns
- An integer count of days since the proleptic ISO epoch.
Examples
iex> Calendrical.Ethiopic.AmeteAlem.date_to_iso_days(7518, 1, 1)
739870
@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.
@spec day_of_week( Calendar.year(), Calendar.month(), Calendar.day(), :default | atom() ) :: {Calendar.day_of_week(), first_day_of_week :: non_neg_integer(), last_day_of_week :: non_neg_integer()}
@spec day_of_week(year(), month(), day(), :default) :: {1..7, 6, 5}
Returns the day of the week for the given Amete Alem year,
month, and day.
Ethiopic weeks begin on Saturday, so the returned tuple has
first_day_of_week = 6 and last_day_of_week = 5.
Arguments
yearis any Amete Alem year as an integer.monthis an Ethiopic month in the range1..13.dayis an Ethiopic day-of-month.starting_onis:defaultfor the calendar's natural week boundary (Saturday).
Returns
- A three-tuple
{day_of_week, first_day_of_week, last_day_of_week}.
Examples
iex> Calendrical.Ethiopic.AmeteAlem.day_of_week(7518, 1, 1, :default)
{4, 6, 5}
@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.
@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.
@spec days_in_month(Calendar.year(), Calendar.month()) :: Calendar.month()
@spec days_in_month(year(), month()) :: 5..30
Returns the number of days in the given Amete Alem year and
month.
Months 1-12 always have 30 days; month 13 has 5 days, or 6 in a leap year.
Arguments
yearis any Amete Alem year as an integer.monthis an Ethiopic month in the range1..13.
Returns
- An integer number of days.
Examples
iex> Calendrical.Ethiopic.AmeteAlem.days_in_month(7518, 13)
5
iex> Calendrical.Ethiopic.AmeteAlem.days_in_month(7519, 13)
6
Returns the number days in a a week.
@spec days_in_year(year()) :: 365..366
Returns the number of days in the given Amete Alem year.
Arguments
yearis any Amete Alem year as an integer.
Returns
365for an ordinary year or366for a leap year.
Examples
iex> Calendrical.Ethiopic.AmeteAlem.days_in_year(7518)
365
iex> Calendrical.Ethiopic.AmeteAlem.days_in_year(7519)
366
@spec era_offset() :: 5500
Returns the offset (in years) between the Amete Alem (Era of the
World) and the Amete Mihret (Era of Mercy) used by
Calendrical.Ethiopic.
Subtracting this offset from an Amete Alem year yields the corresponding Amete Mihret year.
Returns
- The integer
5500.
Examples
iex> Calendrical.Ethiopic.AmeteAlem.era_offset()
5500
@spec extended_year(Calendar.year(), Calendar.month(), Calendar.day()) :: Calendar.year()
Returns the extended year as displayed on rendered calendars.
@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}.
Returns whether the given Amete Alem year is a leap year.
The leap-year rule is that of Calendrical.Ethiopic applied to
the corresponding Amete Mihret year.
Arguments
yearis any Amete Alem year as an integer.
Returns
trueif the year contains 366 days; otherwisefalse.
Examples
iex> Calendrical.Ethiopic.AmeteAlem.leap_year?(7519)
true
iex> Calendrical.Ethiopic.AmeteAlem.leap_year?(7518)
false
Returns a Date.Range.t/0 representing
a given month of a year.
@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.
Returns the number of months in a leap year.
Returns the number of months in a normal 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).
Returns the number of months in a
given year.
@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.
@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.
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.
Adds an increment number of date_parts
to a year-month-day.
date_part can be :years, :months, :weeks or :days.
Returns a Date.Range.t/0 representing
a given quarter of a year.
@spec quarter_of_year(Calendar.year(), Calendar.month(), Calendar.day()) :: Calendrical.quarter()
Returns {:error, :not_defined} because the Ethiopic calendar
does not define quarters; the year has 13 months and so does not
divide evenly into four quarters.
Arguments
yearis any Amete Alem year as an integer.monthis an Ethiopic month in the range1..13.dayis an Ethiopic day-of-month.
Returns
{:error, :not_defined}.
Examples
iex> Calendrical.Ethiopic.AmeteAlem.quarter_of_year(7518, 1, 1)
{:error, :not_defined}
Returns whether the given year, month, and day form a valid
Amete Alem date.
Arguments
yearis any Amete Alem year as an integer.monthis an Ethiopic month in the range1..13.dayis an Ethiopic day-of-month. Months1..12have 30 days; month 13 has 5 days, or 6 in a leap year.
Returns
trueif the date is valid; otherwisefalse.
Examples
iex> Calendrical.Ethiopic.AmeteAlem.valid_date?(7518, 1, 30)
true
iex> Calendrical.Ethiopic.AmeteAlem.valid_date?(7519, 13, 6)
true
iex> Calendrical.Ethiopic.AmeteAlem.valid_date?(7518, 13, 6)
false
Returns a Date.Range.t/0 representing
a given week of a year.
@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}.
@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}.
Returns the number of weeks in a
given year.
Returns a Date.Range.t/0 representing
a given year.
@spec year_of_era(Calendar.year()) :: {year :: Calendar.year(), era :: Calendar.era()}
Calculates the year and era from the given year.
@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.