defmodule Astro do @moduledoc """ High-level API for common astronomical observations. This module is the primary public interface for the Astro library. It provides functions for sunrise/sunset, moonrise/moonset, equinoxes and solstices, lunar phases, and sun/moon position. All functions accept standard Elixir `Date` or `DateTime` structs and return `{:ok, value}` or `{:error, reason}` tuples. For lower-level access see `Astro.Solar`, `Astro.Lunar`, `Astro.Time`, `Astro.Earth` and `Astro.Ephemeris`. ## Specifying a location Location is specified as a `{longitude, latitude}` tuple (note the order, matching `Geo.Point`), a `Geo.Point.t` struct, or a `Geo.PointZ.t` struct that includes elevation in meters. * Longitude is `+` for east, `-` for west, in degrees. * Latitude is `+` for north, `-` for south, in degrees. ## Time zone resolution Rise/set functions (`sunrise/3`, `sunset/3`, `moonrise/3`, `moonset/3`) return a `DateTime` in the local time zone of the given location. By default the time zone is resolved via `TzWorld` (if configured). This can be overridden with the following options: * `:time_zone` — a zone name string, `:utc`, or `:default` (resolve from coordinates via `TzWorld`). * `:time_zone_database` — the time zone database module (e.g. Tz.TimeZoneDatabase). * `:time_zone_resolver` — a custom 1-arity function `(%Geo.Point{}) → {:ok, String.t()}`. ## Function groups ### Solar * `sunrise/3`, `sunset/3` — local sunrise and sunset times * `solar_noon/2` — UTC solar noon for a location and date * `hours_of_daylight/2` — duration of daylight * `sun_position_at/1` — right ascension, declination and distance * `sun_azimuth_elevation/2` — azimuth and altitude at a datetime * `sun_apparent_longitude/1` — apparent ecliptic longitude ### Lunar * `moonrise/3`, `moonset/3` — local moonrise and moonset times * `moon_position_at/1` — right ascension, declination and distance * `illuminated_fraction_of_moon_at/1` — fraction of the Moon illuminated * `lunar_phase_at/1` — phase angle (0–360°) * `lunar_phase_emoji/1` — Unicode emoji for a phase angle ### New moon search * `date_time_new_moon_before/1`, `date_time_new_moon_at_or_after/1` * `date_time_new_moon_nearest/1` ### Phase search * `date_time_lunar_phase_at_or_before/2` * `date_time_lunar_phase_at_or_after/2` ### Crescent visibility * `new_visible_crescent/3` — predict visibility of the new crescent moon ### Equinoxes and solstices * `equinox/2` — March or September equinox * `solstice/2` — June or December solstice """ alias Astro.{Solar, Lunar, Location, Time, Math, Guards} import Astro.Math, only: [ sin: 1, cos: 1, mod: 2, to_degrees: 1 ] @type longitude :: float() @type latitude :: float() @type altitude :: float() @type degrees :: float() @type radians :: float() @type angle() :: number() @type meters() :: number() @type astronomical_units() :: number() @type kilometers() :: number() @type phase() :: angle() @type location :: {longitude, latitude} | Geo.Point.t() | Geo.PointZ.t() @type date :: Calendar.date() | Calendar.datetime() @type options :: keyword() @seconds_per_day 86_400 # Selects the preferred time zone database at compile time based on which # optional dependency (`:tzdata` or `:tz`) is available. The `:elixir` # `:time_zone_database` application config still takes precedence at # runtime — see `default_options/0`. @compile_time_time_zone_db (cond do Code.ensure_loaded?(Tzdata.TimeZoneDatabase) -> Tzdata.TimeZoneDatabase Code.ensure_loaded?(Tz.TimeZoneDatabase) -> Tz.TimeZoneDatabase true -> nil end) defguard is_lunar_phase(phase) when phase >= 0.0 and phase <= 360.0 @doc """ Returns a tuple `{azimuth, altitude}` for a given date time and location. ### Arguments * `location` is the latitude, longitude and optionally elevation for the desired sunrise azimuth and altitude. It can be expressed as: * `{lng, lat}` - a tuple with longitude and latitude as floating point numbers. **Note** the order of the arguments. * a `Geo.Point.t` struct to represent a location without elevation * a `Geo.PointZ.t` struct to represent a location and elevation * `date_time` is a `t:DateTime.t/0` or a `t:Date.t/0` or any struct that meets the requirements of `t:Calendar.date/0` or `t:Calendar.datetime/0`. ### Returns * a tuple of the format `{azimith, altitude}` which are expressed in float degrees. ### Example iex> {:ok, date_time} = DateTime.new(~D[2023-05-17], ~T[12:47:00], "Australia/Sydney") iex> location = {151.1637781, -33.5145852} iex> {_azimuth, _altitude} = Astro.sun_azimuth_elevation(location, date_time) """ # Use https://midcdmz.nrel.gov/solpos/spa.html for validation # current implementation is approx 1 degree at variance with # that calculator. @doc since: "0.11.0" @spec sun_azimuth_elevation(location(), Calendar.datetime()) :: {azimuth :: float, altitude :: float} def sun_azimuth_elevation(location, unquote(Guards.datetime()) = date_time) do _ = calendar %Geo.PointZ{coordinates: {right_ascension, declination, _distance}} = sun_position_at(date_time) %Geo.PointZ{coordinates: {_longitude, latitude, _altitude}} = Location.normalize_location(location) local_sidereal_time = Time.local_sidereal_time(location, date_time) hour_angle = mod(local_sidereal_time - right_ascension, 360.0) altitude = :math.asin( sin(declination) * sin(latitude) + cos(declination) * cos(latitude) * cos(hour_angle) ) |> to_degrees a = :math.acos( (sin(declination) - sin(altitude) * sin(latitude)) / (cos(altitude) * cos(latitude)) ) |> to_degrees() azimuth = if sin(hour_angle) < 0.0, do: a, else: 360.0 - a {azimuth, altitude} end @doc """ Returns a `t:Geo.PointZ` containing the right ascension and declination of the sun at a given date or date time. ### Arguments * `date_time` is a `t:DateTime.t/0` or a `t:Date/0` or any struct that meets the requirements of `t:Calendar.date/0` or `t:Calendar.datetime/0`. ### Returns * a `t:Geo.PointZ.t/0` struct with coordinates `{right_ascension, declination, distance}` with properties `%{reference: :celestial, object: :sun}`. `distance` is in meters. ### Example iex> Astro.sun_position_at(~D[1992-10-13]) %Geo.PointZ{ coordinates: {-161.61854343627374, -7.785324796344723, 149169604737.93973}, properties: %{object: :sun, reference: :celestial}, srid: nil } """ @doc since: "0.6.0" @spec sun_position_at(date()) :: Geo.PointZ.t() def sun_position_at(unquote(Guards.datetime()) = date_time) do _ = calendar date_time |> Time.date_time_to_moment() |> Solar.solar_position() |> convert_distance_to_m() |> Location.normalize_location() |> Map.put(:properties, %{reference: :celestial, object: :sun}) end def sun_position_at(unquote(Guards.date()) = date) do _ = calendar date |> Time.date_time_to_moment() |> Solar.solar_position() |> convert_distance_to_m() |> Location.normalize_location() |> Map.put(:properties, %{reference: :celestial, object: :sun}) end defp convert_distance_to_m({lng, lat, alt}) do {lng, lat, Math.au_to_m(alt)} end @doc """ Returns a `t:Geo.PointZ` containing the right ascension and declination of the moon at a given date or date time. ### Arguments * `date_time` is a `t:DateTime.t/0` or a `t:Date.t/0` or any struct that meets the requirements of `t:Calendar.date/0` or `t:Calendar.datetime/0`. ### Returns * a `t:Geo.PointZ` struct with coordinates `{right_ascension, declination, distance}` with properties `%{reference: :celestial, object: :moon}` `distance` is in meters. ### Example iex> Astro.moon_position_at(~D[1992-04-12]) |> Astro.Location.round(6) %Geo.PointZ{ coordinates: {134.69343, 13.766512, 368409007.322444}, properties: %{object: :moon, reference: :celestial}, srid: nil } """ @doc since: "0.6.0" @spec moon_position_at(date()) :: Geo.PointZ.t() def moon_position_at(unquote(Guards.datetime()) = date_time) do _ = calendar date_time |> Time.date_time_to_moment() |> moon_position_at_moment() end def moon_position_at(unquote(Guards.date()) = date) do _ = calendar date |> Time.date_time_to_moment() |> moon_position_at_moment() end defp moon_position_at_moment(moment) do moment |> Lunar.lunar_position() # |> convert_distance_to_m() |> Location.normalize_location() |> Map.put(:properties, %{reference: :celestial, object: :moon}) end @doc """ Returns the illumination of the moon as a float for a given date or date time. ### Arguments * `date_time` is a `t:DateTime.t/0` or a `t:Date.t/0` or any struct that meets the requirements of `t:Calendar.date/0` or `t:Calendar.datetime/0`. ### Returns * a `float` value between `0.0` and `1.0` representing the fractional illumination of the moon. ### Example iex> fraction = Astro.illuminated_fraction_of_moon_at(~D[2017-03-16]) iex> Float.round(fraction, 4) 0.8884 iex> fraction = Astro.illuminated_fraction_of_moon_at(~D[1992-04-12]) iex> Float.round(fraction, 4) 0.6786 """ @doc since: "0.6.0" @spec illuminated_fraction_of_moon_at(date()) :: number() def illuminated_fraction_of_moon_at(unquote(Guards.datetime()) = date_time) do _ = calendar date_time |> Time.date_time_to_moment() |> Lunar.illuminated_fraction_of_moon() end def illuminated_fraction_of_moon_at(unquote(Guards.date()) = date) do _ = calendar date |> Time.date_time_to_moment() |> Lunar.illuminated_fraction_of_moon() end @doc """ Returns the date time of the new moon before a given date or date time. ### Arguments * `date_time` is a `t:DateTime.t/0` or a `t:Date.t/0` or any struct that meets the requirements of `t:Calendar.date/0` or `t:Calendar.datetime/0`. ### Returns * `{:ok, date_time}` at which the new moon occurs or * `{:error, {module, reason}}` ### Example iex> Astro.date_time_new_moon_before(~D[2021-08-23]) {:ok, ~U[2021-08-08 13:50:07.634598Z]} """ @doc since: "0.5.0" @spec( date_time_new_moon_before(date()) :: {:ok, Calendar.datetime()}, {:error, {module(), String.t()}} ) def date_time_new_moon_at_or_before(unquote(Guards.datetime()) = date_time) do _ = calendar date_time |> Time.date_time_to_moment() |> Lunar.date_time_new_moon_before() |> Time.date_time_from_moment() end def date_time_new_moon_before(unquote(Guards.date()) = date) do _ = calendar date |> Time.date_time_to_moment() |> Lunar.date_time_new_moon_before() |> Time.date_time_from_moment() end @doc """ Returns the date time of the new moon nearest to a given date or date time. ### Arguments * `date_time` is a `t:DateTime.t/0` or a `t:Date.t/0` or any struct that meets the requirements of `t:Calendar.date/0` or `t:Calendar.datetime/0`. ### Returns * `{:ok, date_time}` at which the new moon occurs or * `{:error, {module, reason}}` ### Example iex> Astro.date_time_new_moon_nearest(~D[2021-08-23]) {:ok, ~U[2021-08-08 13:50:07.490242Z]} """ @doc since: "2.0.0" @spec( date_time_new_moon_nearest(date()) :: {:ok, Calendar.datetime()}, {:error, {module(), String.t()}} ) def date_time_new_moon_nearest(unquote(Guards.datetime()) = date_time) do _ = calendar date_time |> Time.date_time_to_moment() |> Lunar.date_time_new_moon_nearest() |> Time.date_time_from_moment() end def date_time_new_moon_nearest(unquote(Guards.date()) = date) do _ = calendar date |> Time.date_time_to_moment() |> Lunar.date_time_new_moon_nearest() |> Time.date_time_from_moment() end @doc """ Returns the date time of the new moon at or after a given date or date time. ### Arguments * `date_time` is a `DateTime` or a `Date` or any struct that meets the requirements of `t:Calendar.date` or `t:Calendar.datetime`. ### Returns * `{:ok, date_time}` at which the new moon occurs or * `{:error, {module, reason}}` ### Example iex> Astro.date_time_new_moon_at_or_after(~D[2021-08-23]) {:ok, ~U[2021-09-07 00:51:44.267320Z]} """ @doc since: "0.5.0" @spec( date_time_new_moon_at_or_after(date) :: {:ok, Calendar.datetime()}, {:error, {module(), String.t()}} ) def date_time_new_moon_at_or_after(unquote(Guards.datetime()) = datetime) do _ = calendar datetime |> Time.date_time_to_moment() |> Lunar.date_time_new_moon_at_or_after() |> Time.date_time_from_moment() end def date_time_new_moon_at_or_after(unquote(Guards.date()) = date) do _ = calendar date |> Time.date_time_to_moment() |> Lunar.date_time_new_moon_at_or_after() |> Time.date_time_from_moment() end @doc """ Returns the lunar phase as a float number of degrees at a given date or date time. ### Arguments * `date_time` is a `t:DateTime.t/0` or a `t:Date.t/0` or any struct that meets the requirements of `t:Calendar.date/0` or `t:Calendar.datetime/0`. ### Returns * the lunar phase as a float number of degrees. ### Example iex> Astro.lunar_phase_at ~U[2021-08-22 12:02:02.816534Z] 180.00004404669988 iex> Astro.lunar_phase_at(~U[2021-07-10 01:16:34.022607Z]) 3.6600909621461326e-6 """ @doc since: "0.5.0" @spec lunar_phase_at(date()) :: phase() def lunar_phase_at(unquote(Guards.datetime()) = date_time) do _ = calendar date_time |> Time.date_time_to_moment() |> Lunar.lunar_phase_at() end def lunar_phase_at(unquote(Guards.date()) = date) do _ = calendar date |> Time.date_time_to_moment() |> Lunar.lunar_phase_at() end @doc """ Returns the moon phase as a UTF8 binary representing an emoji of the moon phase. ### Arguments * `phase` is a moon phase between `0.0` and `360.0`. ### Returns * A single grapheme string representing the [Unicode moon phase emoji](https://unicode-table.com/en/sets/moon/). ### Examples iex> Astro.lunar_phase_emoji 0 "🌑" iex> Astro.lunar_phase_emoji 45 "🌒" iex> Astro.lunar_phase_emoji 90 "🌓" iex> Astro.lunar_phase_emoji 135 "🌔" iex> Astro.lunar_phase_emoji 180 "🌕" iex> Astro.lunar_phase_emoji 245 "🌖" iex> Astro.lunar_phase_emoji 270 "🌗" iex> Astro.lunar_phase_emoji 320 "🌘" iex> Astro.lunar_phase_emoji 360 "🌑" iex> ~U[2021-08-22 12:02:02.816534Z] ...> |> Astro.lunar_phase_at() ...> |> Astro.lunar_phase_emoji() "🌕" """ @emoji_base 0x1F310 @emoji_phase_count 8 @emoji_phase 360.0 / @emoji_phase_count @spec lunar_phase_emoji(phase()) :: String.t() def lunar_phase_emoji(360) do lunar_phase_emoji(0) end def lunar_phase_emoji(phase) when is_lunar_phase(phase) do offset = ceil(phase / @emoji_phase + 0.5) :unicode.characters_to_binary([offset + @emoji_base]) end @doc """ Returns the date time of a given lunar phase at or before a given date time or date. ### Arguments * `date_time` is a `t:DateTime.t/0` or a `t:Date.t/0` or any struct that meets the requirements of `t:Calendar.date/0` or `t:Calendar.datetime/0`. * `phase` is the required lunar phase expressed as a float number of degrees between `0.0` and `3660.0`. ### Returns * `{:ok, date_time}` at which the phase occurs or * `{:error, {module, reason}}` ### Example iex> Astro.date_time_lunar_phase_at_or_before(~D[2021-08-01], Astro.Lunar.new_moon_phase()) {:ok, ~U[2021-07-10 01:16:34.022607Z]} """ @doc since: "0.5.0" @spec( date_time_lunar_phase_at_or_before(date(), Astro.phase()) :: {:ok, Calendar.datetime()}, {:error, {module(), String.t()}} ) def date_time_lunar_phase_at_or_before(unquote(Guards.datetime()) = date_time, phase) do _ = calendar date_time |> Time.date_time_to_moment() |> Lunar.date_time_lunar_phase_at_or_before(phase) |> Time.date_time_from_moment() end def date_time_lunar_phase_at_or_before(unquote(Guards.date()) = date, phase) do _ = calendar date |> Time.date_time_to_moment() |> Lunar.date_time_lunar_phase_at_or_before(phase) |> Time.date_time_from_moment() end @doc """ Returns the date time of a given lunar phase at or after a given date time or date. ### Arguments * `date_time` is a `t:DateTime.t/0` or a `t:Date.t/0` or any struct that meets the requirements of `t:Calendar.date/0` or `t:Calendar.datetime/0`. * `phase` is the required lunar phase expressed as a float number of degrees between `0.0` and `360.0`. ### Returns * `{:ok, date_time}` at which the phase occurs or * `{:error, {module, reason}}` ### Example iex> Astro.date_time_lunar_phase_at_or_after(~D[2021-08-01], Astro.Lunar.full_moon_phase()) {:ok, ~U[2021-08-22 12:02:02.816534Z]} """ @doc since: "0.5.0" @spec( date_time_lunar_phase_at_or_after(date(), Astro.phase()) :: {:ok, Calendar.datetime()}, {:error, {module(), String.t()}} ) def date_time_lunar_phase_at_or_after(unquote(Guards.datetime()) = date_time, phase) do _ = calendar date_time |> Time.date_time_to_moment() |> Lunar.date_time_lunar_phase_at_or_after(phase) |> Time.date_time_from_moment() end def date_time_lunar_phase_at_or_after(unquote(Guards.date()) = date, phase) do _ = calendar date |> Time.date_time_to_moment() |> Lunar.date_time_lunar_phase_at_or_after(phase) |> Time.date_time_from_moment() end @doc """ Calculates the sunrise for a given location and date. Sunrise is the moment when the upper limb of the sun appears on the horizon in the morning. ### Arguments * `location` is the latitude, longitude and optionally elevation for the desired sunrise time. It can be expressed as: * `{lng, lat}` - a tuple with longitude and latitude as floating point numbers. **Note** the order of the arguments. * a `t:Geo.Point.t/0` struct to represent a location without elevation * a `t:Geo.PointZ.t/0` struct to represent a location and elevation * `date` is a `t:Date.t/0`, `t:NaiveDateTime.t/0` or `t:DateTime.t/0` to indicate the date of the year in which the sunrise time is required. * `options` is a keyword list of options. ### Options * `solar_elevation` represents the type of sunrise required. The default is `:geometric` which equates to a solar elevation of 90°. In this case the calculation also accounts for refraction and elevation to return a result which accords with the eye's perception. Other solar elevations are: * `:civil` representing a solar elevation of 96.0°. At this point the sun is just below the horizon so there is generally enough natural light to carry out most outdoor activities. * `:nautical` representing a solar elevation of 102.0° This is the point at which the horizon is just barely visible and the moon and stars can still be used for navigation. * `:astronomical` representing a solar elevation of 108.0°. This is the point beyond which astronomical observation becomes impractical. * Any floating point number representing the desired solar elevation. * `:time_zone` is the time zone in which the sunrise is requested. The default is `:default` in which the sunrise time is reported in the time zone of the requested location. `:utc` can be specified or any other time zone name supported by the option `:time_zone_database` is acceptabe. * `:time_zone_database` represents the module that implements the `Calendar.TimeZoneDatabase` behaviour. The default is the configured Elixir time zone database or one of Tzdata.TimeZoneDatabase or Tz.TimeZoneDatabase depending upon which dependency is configured. * `:time_zone_resolver` is a 1-arity function that resolves the time zone name for a given location. The function will receive a `%Geo.Point{cordinates: {lng, lat}}` struct and is expected to return either `{:ok, time_zone_name}` or `{:error, :time_zone_not_found}`. The default is `TzWorld.timezone_at/1` if `:tz_world` is configured. ### Returns * a `t:DateTime.t/0` representing the time of sunrise in the requested time zone at the requested location. * `{:error, :time_zone_not_found}` if the requested time zone is unknown. * `{:error, :time_zone_not_resolved}` if it is not possible to resolve a time zone name from the location. This can happen if `:tz_world` is not configured as a dependency and no `:time_zone_resolver` option is specified. * `{:error, :no_time}` if for the requested date and location there is no sunrise. This can occur at very high and very low latitudes during summer and winter. ### Notes * If the resolved UTC date time is ambiguous because of a daylight savings transition, the second of the two possibilities is applied. See the `DateTime.from_naive/3` for more information. ### Examples # Sunrise in Sydney, Australia Astro.sunrise({151.20666584, -33.8559799094}, ~D[2019-12-04]) {:ok, #DateTime<2019-12-04 05:37:00.000000+11:00 AEDT Australia/Sydney>} # Sunrise in Alert, Nanavut, Canada Astro.sunrise({-62.3481, 82.5018}, ~D[2019-12-04]) {:error, :no_time} """ @spec sunrise(location, date, options) :: {:ok, DateTime.t()} | {:error, :time_zone_not_found | :time_zone_not_resolved | :no_time} def sunrise(location, date, options \\ []) when is_list(options) do Solar.SunRiseSet.sunrise(location, date_to_moment(date), options) end @doc """ Calculates the sunset for a given location and date. Sunset is the moment when the upper limb of the sun disappears below the horizon in the evening. ### Arguments * `location` is the latitude, longitude and optionally elevation for the desired sunrise time. It can be expressed as: * `{lng, lat}` - a tuple with longitude and latitude as floating point numbers. **Note** the order of the arguments. * a `Geo.Point.t` struct to represent a location without elevation * a `Geo.PointZ.t` struct to represent a location and elevation * `date` is a `t:Date.t/0`, `t:NaiveDateTime.t/0` or `t:DateTime.t/0` to indicate the date of the year in which the sunset time is required. * `options` is a keyword list of options. ### Options * `solar_elevation` represents the type of sunset required. The default is `:geometric` which equates to a solar elevation of 90°. In this case the calulation also accounts for refraction and elevation to return a result which accords with the eyes perception. Other solar elevations are: * `:civil` representing a solar elevation of 96.0°. At this point the sun is just below the horizon so there is generally enough natural light to carry out most outdoor activities. * `:nautical` representing a solar elevation of 102.0° This is the point at which the horizon is just barely visible and the moon and stars can still be used for navigation. * `:astronomical`representing a solar elevation of 108.0°. This is the point beyond which astronomical observation becomes impractical. * Any floating point number representing the desired solar elevation. * `:time_zone` is the time zone in which the sunset is requested. The default is `:default` in which the sunrise time is reported in the time zone of the requested location. `:utc` can be specified or any other time zone name supported by the option `:time_zone_database` is acceptabe. * `:time_zone_database` represents the module that implements the `Calendar.TimeZoneDatabase` behaviour. The default is the configured Elixir time zone database or one of Tzdata.TimeZoneDatabase or Tz.TimeZoneDatabase depending upon which dependency is configured. * `:time_zone_resolver` is a 1-arity function that resolves the time zone name for a given location. The function will receive a `%Geo.Point{cordinates: {lng, lat}}` struct and is expected to return either `{:ok, time_zone_name}` or `{:error, :time_zone_not_found}`. The default is `TzWorld.timezone_at/1` if `:tz_world` is configured. ### Returns * a `t:DateTime.t/0` representing the time of sunset in the requested time zone at the requested location. * `{:error, :time_zone_not_found}` if the requested time zone is unknown. * `{:error, :time_zone_not_resolved}` if it is not possible to resolve a time zone name from the location. This can happen if `:tz_world` is not configured as a dependency and no `:time_zone_resolver` option is specified. * `{:error, :no_time}` if for the requested date and location there is no sunset. This can occur at very high and very low latitudes during summer and winter. ### Notes * If the resolved UTC date time is ambiguous because of a daylight savings transition, the second of the two possibilities is applied. See the `DateTime.from_naive/3` for more information. ### Examples # Sunset in Sydney, Australia Astro.sunset({151.20666584, -33.8559799094}, ~D[2019-12-04]) {:ok, #DateTime<2019-12-04 19:53:00.000000+11:00 AEDT Australia/Sydney>} # Sunset in Alert, Nanavut, Canada Astro.sunset({-62.3481, 82.5018}, ~D[2019-12-04]) {:error, :no_time} """ @spec sunset(location, date, options) :: {:ok, DateTime.t()} | {:error, :time_zone_not_found | :time_zone_not_resolved | :no_time} def sunset(location, date, options \\ []) when is_list(options) do Solar.SunRiseSet.sunset(location, date_to_moment(date), options) end @doc """ Returns the datetime of moonrise for a given location and date. Uses the JPL DE440s ephemeris with fully topocentric correction to compute the Moon's altitude zero-crossing via scan-and-bisect. ### Arguments * `location` is the location as a `{longitude, latitude}` tuple, a `Geo.Point.t` or a `Geo.PointZ.t`. * `date` is a `t:Date.t/0` or `t:DateTime.t/0`. * `options` is a keyword list of options. ### Options * `:time_zone` is the time zone in which the sunrise is requested. The default is `:default` in which the sunrise time is reported in the time zone of the requested location. `:utc` can be specified or any other time zone name supported by the option `:time_zone_database` is acceptabe. * `:time_zone_database` represents the module that implements the `Calendar.TimeZoneDatabase` behaviour. The default is the configured Elixir time zone database or one of Tzdata.TimeZoneDatabase or Tz.TimeZoneDatabase depending upon which dependency is configured. * `:time_zone_resolver` is a 1-arity function that resolves the time zone name for a given location. The function will receive a `%Geo.Point{cordinates: {lng, lat}}` struct and is expected to return either `{:ok, time_zone_name}` or `{:error, :time_zone_not_found}`. The default is `TzWorld.timezone_at/1` if `:tz_world` is configured. ### Returns * `{:ok, date_time}` with the local time of moonrise, or * `{:error, :moon_always_below_horizon}` if the Moon does not rise on the given date at the given location. """ @doc since: "2.0.0" @spec moonrise(location, date, options) :: {:ok, DateTime.t()} | {:error, :moon_always_below_horizon} def moonrise(location, date, options \\ default_options()) def moonrise(location, date, options) when is_list(options) do Lunar.MoonRiseSet.moonrise(location, date_to_moment(date), options) end @doc """ Returns the datetime of moonset for a given location and date. Uses the JPL DE440s ephemeris with fully topocentric correction to compute the Moon's altitude zero-crossing via scan-and-bisect. ### Arguments * `location` is the location as a `{longitude, latitude}` tuple, a `Geo.Point.t` or a `Geo.PointZ.t`. * `date` is a `t:Date.t/0` or `t:DateTime.t/0`. * `options` is a keyword list of options. ### Options * `:time_zone` is the time zone in which the sunrise is requested. The default is `:default` in which the sunrise time is reported in the time zone of the requested location. `:utc` can be specified or any other time zone name supported by the option `:time_zone_database` is acceptabe. * `:time_zone_database` represents the module that implements the `Calendar.TimeZoneDatabase` behaviour. The default is the configured Elixir time zone database or one of Tzdata.TimeZoneDatabase or Tz.TimeZoneDatabase depending upon which dependency is configured. * `:time_zone_resolver` is a 1-arity function that resolves the time zone name for a given location. The function will receive a `%Geo.Point{cordinates: {lng, lat}}` struct and is expected to return either `{:ok, time_zone_name}` or `{:error, :time_zone_not_found}`. The default is `TzWorld.timezone_at/1` if `:tz_world` is configured. ### Returns * `{:ok, date_time}` with the local time of moonset, or * `{:error, :moon_always_above_horizon}` if the Moon does not set on the given date at the given location. """ @doc since: "2.0.0" @spec moonset(location, date, options) :: {:ok, DateTime.t()} | {:error, :moon_always_above_horizon} def moonset(location, date, options \\ default_options()) def moonset(location, date, options) when is_list(options) do Lunar.MoonRiseSet.moonset(location, date_to_moment(date), options) end @doc """ Predicts the visibility of the new crescent moon at a given location on a given date using one of three published criteria. At the optimal observation time after sunset, the function evaluates the geometric and photometric conditions to classify the crescent into one of five visibility categories. ### Arguments * `location` is the latitude, longitude and optionally elevation for the observation site. It can be expressed as: * `{lng, lat}` - a tuple with longitude and latitude as floating point numbers. **Note** the order of the arguments. * a `t:Geo.Point.t/0` struct to represent a location without elevation. * a `t:Geo.PointZ.t/0` struct to represent a location and elevation. * `date` is a `t:Date.t/0` or `t:DateTime.t/0` indicating the evening on which crescent visibility is to be evaluated. * `method` selects the prediction criterion. Default `:odeh`. * `:odeh` — Odeh (2006). Empirical criterion based on 737 observations. Uses topocentric ARCV with a Danjon limit of 6.4°. The most widely used modern criterion. * `:yallop` — Yallop (1997). Empirical criterion based on 295 observations. Uses geocentric ARCV. The original single-parameter approach that Odeh later refined. * `:schaefer` — Schaefer (1988/2000). Physics-based model computing the contrast between crescent brightness and twilight sky brightness against the human contrast detection threshold. The best observation time is found by scanning from sunset to moonset. ### Options When `method` is `:schaefer`, the following options are accepted as an optional fourth argument (a keyword list): * `:extinction` — V-band zenith extinction coefficient. Default `0.172` (clean sea-level site). Typical values: `0.12` (high mountain), `0.17` (sea level), `0.25` (hazy conditions). ### Returns * `{:ok, visibility}` where `visibility` is one of: * `:A` — Visible to the naked eye. * `:B` — Visible with optical aid. * `:C` — May need optical aid. * `:D` — Not visible with optical aid. * `:E` — Not visible. * `{:error, :no_sunset}` if no sunset occurs on the given date at the given location (e.g. polar day). * `{:error, :not_found}` if the date is outside the range covered by the installed ephemeris. ### Method comparison | Aspect | Yallop (1997) | Odeh (2006) | Schaefer (1988/2000) | |--------|---------------|-------------|----------------------| | Basis | Empirical polynomial | Empirical polynomial | Physical model | | Observations | 295 | 737 | N/A (theory) | | ARCV type | Geocentric | Topocentric | N/A | | Best time | Sunset + 4/9 lag | Sunset + 4/9 lag | Scanned (max Rs) | | Atmosphere | Not modelled | Not modelled | Extinction coefficient | ### Examples iex> location = {-0.1275, 51.5072} iex> Astro.new_visible_crescent(location, ~D[2025-03-31]) {:ok, :A} iex> location = {-0.1275, 51.5072} iex> Astro.new_visible_crescent(location, ~D[2025-03-31], :yallop) {:ok, :A} """ @doc since: "2.1.0" @type method :: :odeh | :yallop | :schaefer @spec new_visible_crescent(location(), date(), method()) :: {:ok, Lunar.CrescentVisibility.visibility()} | {:error, :no_sunset | :not_found} def new_visible_crescent(location, date, method \\ :odeh) def new_visible_crescent(location, date, :yallop) do moment = Time.date_time_to_moment(date) normalized = Location.normalize_location(location) Lunar.CrescentVisibility.yallop_new_visible_crescent(normalized, moment) end def new_visible_crescent(location, date, :odeh) do moment = Time.date_time_to_moment(date) normalized = Location.normalize_location(location) Lunar.CrescentVisibility.odeh_new_visible_crescent(normalized, moment) end def new_visible_crescent(location, date, :schaefer) do moment = Time.date_time_to_moment(date) normalized = Location.normalize_location(location) Lunar.CrescentVisibility.schaefer_new_visible_crescent(normalized, moment) end @doc """ Same as `new_visible_crescent/3` with `method: :schaefer` but accepts additional atmospheric options. See `new_visible_crescent/3` for full documentation. ### Options * `:extinction` — V-band zenith extinction coefficient. Default `0.172`. ### Example iex> location = {39.8579, 21.3891} iex> {:ok, visibility} = Astro.new_visible_crescent(location, ~D[2025-03-31], :schaefer, extinction: 0.25) iex> visibility in [:A, :B, :C, :D, :E] true """ @doc since: "2.1.0" @spec new_visible_crescent(location(), date(), :schaefer, keyword()) :: {:ok, Lunar.CrescentVisibility.visibility()} | {:error, :no_sunset | :not_found} def new_visible_crescent(location, date, :schaefer, options) when is_list(options) do moment = Time.date_time_to_moment(date) normalized = Location.normalize_location(location) Lunar.CrescentVisibility.schaefer_new_visible_crescent(normalized, moment, options) end @doc """ Returns the datetime in UTC for either the March or September equinox. ### Arguments * `year` is the gregorian year for which the equinox is to be calculated. * `event` is either `:march` or `:september` indicating which of the two annual equinox datetimes is required. ### Returns * `{:ok, datetime}` representing the UTC datetime of the equinox. * `{:error, :year_out_of_range}` if `year` is outside the supported range of 1000 CE to 3000 CE. ### Examples iex> {:ok, dt} = Astro.equinox 2019, :march iex> DateTime.truncate(dt, :second) ~U[2019-03-20 21:58:28Z] iex> {:ok, dt} = Astro.equinox 2019, :september iex> DateTime.truncate(dt, :second) ~U[2019-09-23 07:49:52Z] iex> Astro.equinox 900, :march {:error, :year_out_of_range} ### Notes This equinox calculation is expected to be accurate to within 2 minutes for the years 1000 CE to 3000 CE. An equinox is commonly regarded as the instant of time when the plane of earth's equator passes through the center of the Sun. This occurs twice each year: around 20 March and 23 September. In other words, it is the moment at which the center of the visible sun is directly above the equator. """ @spec equinox(Calendar.year(), :march | :september) :: {:ok, DateTime.t()} | {:error, :year_out_of_range} def equinox(year, event) when event in [:march, :september] and year in 1000..3000 do Solar.equinox_and_solstice(year, event) end # The calculation is accurate to within 2 minutes only for 1000 CE to # 3000 CE; outside that span return an error rather than raising a # FunctionClauseError at the caller. def equinox(year, event) when event in [:march, :september] and is_integer(year) do {:error, :year_out_of_range} end @doc """ Returns the datetime in UTC for either the June or December solstice. ### Arguments * `year` is the gregorian year for which the solstice is to be calculated. * `event` is either `:june` or `:december` indicating which of the two annual solstice datetimes is required. ### Returns * `{:ok, datetime}` representing the UTC datetime of the solstice. * `{:error, :year_out_of_range}` if `year` is outside the supported range of 1000 CE to 3000 CE. ### Examples iex> {:ok, dt} = Astro.solstice 2019, :december iex> DateTime.truncate(dt, :second) ~U[2019-12-22 04:19:19Z] iex> {:ok, dt} = Astro.solstice 2019, :june iex> DateTime.truncate(dt, :second) ~U[2019-06-21 15:54:07Z] iex> Astro.solstice 3500, :june {:error, :year_out_of_range} ### Notes This solstice calculation is expected to be accurate to within 2 minutes for the years 1000 CE to 3000 CE. A solstice is an event occurring when the Sun appears to reach its most northerly or southerly excursion relative to the celestial equator on the celestial sphere. Two solstices occur annually, around June 21 and December 21. The seasons of the year are determined by reference to both the solstices and the equinoxes. The day of a solstice in either hemisphere has either the most sunlight of the year (summer solstice) or the least sunlight of the year (winter solstice) for any place other than the Equator. Alternative terms, with no ambiguity as to which hemisphere is the context, are "June solstice" and "December solstice", referring to the months in which they take place every year. """ @spec solstice(Calendar.year(), :june | :december) :: {:ok, DateTime.t()} | {:error, :year_out_of_range} def solstice(year, event) when event in [:june, :december] and year in 1000..3000 do Solar.equinox_and_solstice(year, event) end # The calculation is accurate to within 2 minutes only for 1000 CE to # 3000 CE; outside that span return an error rather than raising a # FunctionClauseError at the caller. def solstice(year, event) when event in [:june, :december] and is_integer(year) do {:error, :year_out_of_range} end @doc """ Returns solar noon for a given date and location as a UTC datetime ### Arguments * `location` is the latitude, longitude and optionally elevation for the desired solar noon time. It can be expressed as: * `{lng, lat}` - a tuple with longitude and latitude as floating point numbers. **Note** the order of the arguments. * a `Geo.Point.t` struct to represent a location without elevation. * a `Geo.PointZ.t` struct to represent a location and elevation. * `date` is any `t:Date.t/0` in the Gregorian calendar (for example, `Calendar.ISO`). ### Returns * a UTC datetime representing solar noon at the given location for the given date. ### Example iex> Astro.solar_noon {151.20666584, -33.8559799094}, ~D[2019-12-06] {:ok, ~U[2019-12-06 01:45:42Z]} ### Notes Solar noon is the moment when the sun passes a location's meridian and reaches its highest position in the sky. In most cases, it doesn't happen at 12 o'clock. At solar noon, the Sun reaches its highest position in the sky as it passes the local meridian. """ @spec solar_noon(Astro.location(), Calendar.date()) :: {:ok, DateTime.t()} def solar_noon(location, date) do %Geo.PointZ{coordinates: {longitude, _, _}} = Location.normalize_location(location) julian_day = Time.julian_day_from_date(date) julian_centuries = Time.julian_centuries_from_julian_day(julian_day) julian_centuries |> Solar.solar_noon_utc(-longitude) |> Time.date_time_from_date_and_minutes(date) end @doc """ Returns solar longitude for a given date. Solar longitude is used to identify the seasons. ### Arguments * `date` is any `t:Date.t/0` in the Gregorian calendar (for example, `Calendar.ISO`). ### Returns * a `float` number of degrees between 0 and 360 representing the solar longitude on `date`. ### Examples iex> Astro.sun_apparent_longitude ~D[2019-03-21] 0.08035853207991295 iex> Astro.sun_apparent_longitude ~D[2019-06-22] 90.32130455695378 iex> Astro.sun_apparent_longitude ~D[2019-09-23] 179.68691978440197 iex> Astro.sun_apparent_longitude ~D[2019-12-23] 270.83941087483504 ### Notes Solar longitude (the ecliptic longitude of the sun) in effect describes the position of the earth in its orbit, being zero at the moment of the March equinox. Since it is based on how far the earth has moved in its orbit since the equinox, it is a measure of what time of the tropical year (the year of seasons) we are in, but without the inaccuracies of a calendar date, which is perturbed by leap years and calendar imperfections. """ @spec sun_apparent_longitude(Calendar.date()) :: degrees() def sun_apparent_longitude(date) do date |> Time.julian_day_from_date() |> Time.julian_centuries_from_julian_day() |> Solar.sun_apparent_longitude() end @doc """ Returns the number of hours of daylight for a given location on a given date. On Elixir 1.17+, the function `duration_of_daylight/2` is recommended over this function since it returns a `t:Duration.t/0` which can represent a full 24 hours of daylight. ### Arguments * `location` is the latitude, longitude and optionally elevation for the desired hours of daylight. It can be expressed as: * `{lng, lat}` - a tuple with longitude and latitude as floating point numbers. **Note** the order of the arguments. * a `Geo.Point.t` struct to represent a location without elevation * a `Geo.PointZ.t` struct to represent a location and elevation. * `date` is any `t:Date.t/0` in the Gregorian calendar (for example, `Calendar.ISO`). ### Returns * `{:ok, time}` where `time` is a `Time.t()`. The maximum value is `~T[23:59:59]`, representing 24 hours of daylight (a `Time.t()` cannot hold `24:00:00`). * `{:error, reason}` if the time zone for the location cannot be resolved. ### Examples iex> Astro.hours_of_daylight({151.20666584, -33.8559799094}, ~D[2019-12-10]) {:ok, ~T[14:20:51]} # No sunset in summer iex> Astro.hours_of_daylight({-62.3481, 82.5018}, ~D[2019-06-07]) {:ok, ~T[23:59:59]} # No sunrise in winter iex> Astro.hours_of_daylight({-62.3481, 82.5018}, ~D[2019-12-07]) {:ok, ~T[00:00:00]} ### Notes Daylight is measured as the total time the Sun is above the horizon during the local calendar day, so the result is correct regardless of whether sunrise precedes sunset. In latitudes above the polar circles (approximately +/- 66.5631 degrees) there will be no hours of daylight in winter and 24 hours of daylight in summer. Just below the polar circles, near the solstice, a single calendar day can contain a sunset (shortly after midnight) followed by a sunrise (a few hours later); such days are handled correctly and report close to, but less than, 24 hours. """ @spec hours_of_daylight(Astro.location(), Calendar.date()) :: {:ok, Elixir.Time.t()} | {:error, atom()} def hours_of_daylight(location, date) do case daylight_seconds(location, date) do {:ok, seconds} when seconds >= @seconds_per_day -> # 24 hours of daylight (polar day). A `Time.t/0` cannot represent # 24:00:00, so it is reported one second short. Use # `duration_of_daylight/2` for an uncapped `Duration.t/0`. Elixir.Time.new(23, 59, 59) {:ok, seconds} -> Elixir.Time.new(div(seconds, 3600), div(rem(seconds, 3600), 60), rem(seconds, 60)) {:error, reason} -> {:error, reason} end end if Code.ensure_loaded?(Duration) do @doc """ Returns the duration of daylight for a given location on a given date as a `t:Duration.t/0`. This is the same calculation as `hours_of_daylight/2` but, because a `t:Duration.t/0` is not bounded like a `t:Time.t/0`, it can represent a full 24 hours of daylight (returned as `%Duration{hour: 24}`) during the polar summer rather than capping at `~T[23:59:59]`. This function is only defined when running on Elixir 1.17 or later, where the `Duration` module is available. ### Arguments * `location` is the latitude, longitude and optionally elevation for the desired duration of daylight. It can be expressed as: * `{lng, lat}` - a tuple with longitude and latitude as floating point numbers. **Note** the order of the arguments. * a `Geo.Point.t` struct to represent a location without elevation. * a `Geo.PointZ.t` struct to represent a location and elevation. * `date` is any `t:Date.t/0` in the Gregorian calendar (for example, `Calendar.ISO`). ### Returns * `{:ok, duration}` where `duration` is a `t:Duration.t/0` between `%Duration{}` (no daylight) and `%Duration{hour: 24}` (24 hours of daylight). * `{:error, reason}` if the time zone for the location cannot be resolved. ### Examples iex> Astro.duration_of_daylight({151.20666584, -33.8559799094}, ~D[2019-12-10]) {:ok, %Duration{hour: 14, minute: 20, second: 51}} # 24 hours of daylight in the polar summer, uncapped iex> Astro.duration_of_daylight({-62.3481, 82.5018}, ~D[2019-06-07]) {:ok, %Duration{hour: 24}} # No daylight in the polar winter iex> Astro.duration_of_daylight({-62.3481, 82.5018}, ~D[2019-12-07]) {:ok, %Duration{}} """ @doc since: "2.3.0" @spec duration_of_daylight(Astro.location(), Calendar.date()) :: {:ok, Duration.t()} | {:error, atom()} def duration_of_daylight(location, date) do case daylight_seconds(location, date) do {:ok, seconds} -> {:ok, Duration.new!( hour: div(seconds, 3600), minute: div(rem(seconds, 3600), 60), second: rem(seconds, 60) )} {:error, reason} -> {:error, reason} end end end # Total seconds the Sun is above the horizon during the local calendar day, # in the range 0..86_400. Rather than subtracting sunrise from sunset (which # breaks at sub-polar latitudes near the solstice, where the Sun can set just # after local midnight and rise again hours later, so sunset precedes # sunrise), the daylight is derived from which events fall within the day: # # * both events present → normal day (rise then set) is set − rise; a # reversed day (set then rise) is the whole day minus the night between. # * only sunrise present → Sun rises and stays up to end of day. # * only sunset present → Sun is up at midnight and sets during the day. # * neither present → polar day (24h) or polar night (0h). # defp daylight_seconds(location, date) do case {sunrise(location, date), sunset(location, date)} do {{:ok, sunrise}, {:ok, sunset}} -> {:ok, daylight_between(sunrise, sunset)} {{:error, :no_time}, {:ok, sunset}} -> {:ok, seconds_since_midnight(sunset)} {{:ok, sunrise}, {:error, :no_time}} -> {:ok, @seconds_per_day - seconds_since_midnight(sunrise)} {{:error, :no_time}, {:error, :no_time}} -> if Solar.SunRiseSet.sun_above_horizon?(location, date_to_moment(date)) do {:ok, @seconds_per_day} else {:ok, 0} end {{:error, reason}, _} -> {:error, reason} {_, {:error, reason}} -> {:error, reason} end end # When sunset precedes sunrise on the same calendar day the Sun was already # up at local midnight, set briefly, then rose again — daylight is the whole # day less the night between the two events (`DateTime.diff` is negative). defp daylight_between(sunrise, sunset) do case DateTime.diff(sunset, sunrise) do seconds when seconds >= 0 -> seconds night -> @seconds_per_day + night end end defp seconds_since_midnight(%DateTime{hour: hour, minute: minute, second: second}) do hour * 3600 + minute * 60 + second end @doc false def default_options do default_time_zone_db = Application.get_env(:elixir, :time_zone_database) || @compile_time_time_zone_db [ solar_elevation: Solar.solar_elevation(:geometric), time_zone: :default, time_zone_database: default_time_zone_db ] end # Convert a Date, DateTime or NaiveDateTime to a moment # (integer Gregorian days representing UTC midnight). defp date_to_moment(date) do Time.date_time_to_moment(date) end end