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use chrono::{DateTime, NaiveDate, TimeZone, Timelike, Utc};
const UNIX_EPOCH: JulianDate = JulianDate(2440587.5);
const SECONDS_PER_DAY: u64 = 24 * 60 * 60;
const JAN_2000: JulianDate = JulianDate(2451545.0);
const LEAP_SECONDS: JulianDate = JulianDate(0.0008);
const OBLIQUITY_OF_THE_ECLIPTIC: f64 = 23.44;
#[derive(Debug, Clone, Copy)]
struct JulianDate(f64);
impl JulianDate {
fn ceil_days(&self) -> f64 {
self.0.ceil()
}
fn to_datetime(self) -> Option<DateTime<Utc>> {
Utc.timestamp_opt(
((self - UNIX_EPOCH).0 * SECONDS_PER_DAY as f64).round() as i64,
0,
)
.single()
}
}
impl From<DateTime<Utc>> for JulianDate {
fn from(date: DateTime<Utc>) -> Self {
Self((date.timestamp() as f64 / SECONDS_PER_DAY as f64) + UNIX_EPOCH.0)
}
}
impl std::ops::Sub<JulianDate> for JulianDate {
type Output = Self;
fn sub(self, rhs: JulianDate) -> Self::Output {
Self(self.0 - rhs.0)
}
}
impl std::ops::Add<JulianDate> for JulianDate {
type Output = Self;
fn add(self, rhs: JulianDate) -> Self::Output {
Self(self.0 + rhs.0)
}
}
pub fn sun_times(
date: NaiveDate,
latitude: f64,
longitude: f64,
elevation: f64,
) -> Option<(DateTime<Utc>, DateTime<Utc>)> {
const ARGUMENT_OF_PERIHELION: f64 = 102.9372;
let julian_date = JulianDate::from(
date.and_hms_opt(0, 0, 0)?
.and_local_timezone(Utc)
.single()?,
);
let elevation = elevation.max(0.0);
let elevation_correction = -2.076 * (elevation.sqrt()) / 60.0;
let days_since_2000 = (julian_date - JAN_2000 + LEAP_SECONDS).ceil_days();
let mean_solar_time = days_since_2000 - (longitude / 360.0);
let solar_mean_anomaly = (357.5291 + 0.98560028 * mean_solar_time).rem_euclid(360.0);
let center = 1.9148 * solar_mean_anomaly.to_radians().sin()
+ 0.0200 * (2.0 * solar_mean_anomaly).to_radians().sin()
+ 0.0003 * (3.0 * solar_mean_anomaly).to_radians().sin();
let ecliptic_longitude =
(solar_mean_anomaly + center + 180.0 + ARGUMENT_OF_PERIHELION).rem_euclid(360.0);
let declination = (ecliptic_longitude.to_radians().sin()
* OBLIQUITY_OF_THE_ECLIPTIC.to_radians().sin())
.asin();
let event_hour_angle = (((-0.83 + elevation_correction).to_radians().sin()
- (latitude.to_radians().sin() * declination.sin()))
/ (latitude.to_radians().cos() * declination.cos()))
.acos()
.to_degrees();
if event_hour_angle.is_nan() {
return None;
}
let solar_transit =
JAN_2000.0 + mean_solar_time + 0.0053 * solar_mean_anomaly.to_radians().sin()
- 0.0069 * (2.0 * ecliptic_longitude).to_radians().sin();
let solar_transit_julian = JulianDate(solar_transit);
let julian_rise = JulianDate(solar_transit_julian.0 - event_hour_angle / 360.0);
let julian_set = JulianDate(solar_transit_julian.0 + event_hour_angle / 360.0);
let rise = julian_rise.to_datetime();
let set = julian_set.to_datetime();
if let (Some(rise), Some(set)) = (rise, set) {
Some((rise, set))
} else {
None
}
}
pub fn altitude(date_time: DateTime<Utc>, latitude: f64, longitude: f64) -> f64 {
const ARGUMENT_OF_PERIHELION: f64 = 102.9372;
let julian_date = JulianDate::from(date_time);
let days_since_2000 = (julian_date - JAN_2000 + LEAP_SECONDS).ceil_days();
let mean_solar_time = days_since_2000 - (longitude / 360.0);
let solar_mean_anomaly = (357.5291 + 0.98560028 * mean_solar_time).rem_euclid(360.0);
let center = 1.9148 * solar_mean_anomaly.to_radians().sin()
+ 0.0200 * (2.0 * solar_mean_anomaly).to_radians().sin()
+ 0.0003 * (3.0 * solar_mean_anomaly).to_radians().sin();
let ecliptic_longitude =
(solar_mean_anomaly + center + 180.0 + ARGUMENT_OF_PERIHELION).rem_euclid(360.0);
let sin_declination =
ecliptic_longitude.to_radians().sin() * OBLIQUITY_OF_THE_ECLIPTIC.to_radians().sin();
let declination = sin_declination.asin();
let right_ascension = (ecliptic_longitude.to_radians().sin()
* OBLIQUITY_OF_THE_ECLIPTIC.to_radians().cos())
.atan2(ecliptic_longitude.to_radians().cos())
.to_degrees();
let greenwich_sidereal_time = mean_solar_time + 0.0;
let local_sideral_time = greenwich_sidereal_time
+ (date_time.time().hour() as f64
+ (date_time.time().minute() as f64 / 60.0)
+ (date_time.time().second() as f64 / 60.0 * 60.0))
* 15.0
+ longitude.to_degrees();
let local_hour_angle = local_sideral_time - right_ascension;
let sin_altitude = (latitude.to_radians().sin() * declination.sin())
+ (latitude.to_radians().cos() * declination.cos() * local_hour_angle.to_radians().cos());
sin_altitude.asin().to_degrees()
}
#[cfg(test)]
mod tests {
use chrono::{Duration, NaiveDate};
#[test]
fn sunrise_and_sunset_land_on_requested_day() {
let date_range =
std::iter::successors(Some(NaiveDate::from_ymd_opt(2022, 1, 1).unwrap()), |date| {
let next = *date + Duration::days(1);
if next > NaiveDate::from_ymd_opt(2022, 12, 31).unwrap() {
None
} else {
Some(next)
}
});
for date in date_range {
let times = super::sun_times(date, 53.38, -1.48, 0.0);
assert!(times.is_some());
let times = times.unwrap();
assert_eq!(date, times.0.naive_utc().date());
assert_eq!(date, times.1.naive_utc().date());
}
}
}