/**
* Calculates all sun-related important times
* depending on time of year and location
* @param Location Location to be used in calculation
* @param Basic NMEA_INFO for current date
* @param Calculated DERIVED_INFO (not yet used)
* @param TimeZone The timezone
* @return Sunset time
*/
void
SunEphemeris::CalcSunTimes(const GeoPoint &Location,
const BrokenDateTime &date_time,
const fixed TimeZone)
{
fixed DaysToJ2000 = FNday(date_time);
Angle L = GetMeanSunLongitude(DaysToJ2000);
// Use GetEclipticLongitude to find the ecliptic longitude of the Sun
Angle Lambda = GetEclipticLongitude(DaysToJ2000, L);
// Obliquity of the ecliptic
Angle Obliquity = Angle::degrees(fixed(23.439) - fixed(.0000004) * DaysToJ2000);
// Find the RA and DEC of the Sun
Angle Alpha = Angle::radians(atan2(Obliquity.cos() * Lambda.sin(), Lambda.cos()));
Angle Delta = Angle::radians(asin(Obliquity.sin() * Lambda.sin()));
// Find the Equation of Time in minutes
// Correction suggested by David Smith
fixed LL = (L - Alpha).value_radians();
if (L.value_radians() < fixed_pi)
LL += fixed_two_pi;
fixed equation = fixed(1440) * (fixed_one - LL / fixed_two_pi);
Angle HourAngle = GetHourAngle(Location.Latitude, Delta);
Angle HourAngleTwilight = GetHourAngleTwilight(Location.Latitude, Delta);
// length of twilight in hours
fixed TwilightHours = (HourAngleTwilight - HourAngle).value_hours();
// Conversion of angle to hours and minutes
DayLength = HourAngle.value_hours() * fixed_two;
if (DayLength < fixed(0.0001))
// arctic winter
DayLength = fixed_zero;
TimeOfSunRise = fixed(12) - HourAngle.value_hours() + TimeZone
- Location.Longitude.value_degrees() / 15 + equation / 60;
if (TimeOfSunRise > fixed(24))
TimeOfSunRise -= fixed(24);
TimeOfSunSet = TimeOfSunRise + DayLength;
TimeOfNoon = TimeOfSunRise + HourAngle.value_hours();
// morning twilight begin
MorningTwilight = TimeOfSunRise - TwilightHours;
// evening twilight end
EveningTwilight = TimeOfSunSet + TwilightHours;
}
/**
* Calculates the sun's azimuth at a given location and time
* @param Location azimuth at what location
* @param time azimuth at what time
* @param dec precalculated declination angle
* @return sun's azimuth
* @see http://www.providence.edu/mcs/rbg/java/sungraph.htm
*/
static Angle
CalculateAzimuth(const GeoPoint &Location, const BrokenTime &time,
const fixed time_zone, const Angle dec)
{
assert(time.Plausible());
fixed T = fixed(time.GetSecondOfDay()) / 3600 - fixed(12) + time_zone;
Angle t = Angle::Degrees(15) * T;
return -Angle::FromXY(Location.latitude.cos() * dec.sin() -
Location.latitude.sin() * dec.cos() * t.cos(),
dec.cos() * t.sin());
}
void
Frame2d::set_angle( const Angle & a )
{
n_x = a.cos() * scale;
n_y = a.sin() * scale;
//f1.n_y= sqrt(1-f1.n_x*f1.n_x);
}
Angle
SunEphemeris::GetEclipticLongitude(fixed d, Angle L)
{
// mean anomaly of the Sun
Angle g = Angle::Degrees(fixed(357.528) + fixed(.9856003) * d).AsBearing();
// Ecliptic longitude of the Sun
return (Angle::Degrees(1.915) * g.sin() + L +
Angle::Degrees(.02) * (g * fixed(2)).sin()).AsBearing();
}
gcc_pure
static GeoPoint
IntermediatePoint(const GeoPoint &loc1, const GeoPoint &loc2,
Angle dthis, Angle dtotal)
{
assert(loc1.IsValid());
assert(loc2.IsValid());
if (loc1.longitude == loc2.longitude &&
loc1.latitude == loc2.latitude)
return loc1;
if (!positive(dtotal.Native()))
return loc1;
assert(dthis <= dtotal && !negative(dthis.Native()));
const fixed A = (dtotal - dthis).sin();
const fixed B = dthis.sin();
const auto sc1 = loc1.latitude.SinCos();
const fixed sin_loc1_lat = sc1.first, cos_loc1_lat = sc1.second;
const auto sc2 = loc2.latitude.SinCos();
const fixed sin_loc2_lat = sc2.first, cos_loc2_lat = sc2.second;
const auto sc3 = loc1.longitude.SinCos();
const fixed sin_loc1_lon = sc3.first, cos_loc1_lon = sc3.second;
const auto sc4 = loc2.longitude.SinCos();
const fixed sin_loc2_lon = sc4.first, cos_loc2_lon = sc4.second;
const fixed a_cos_loc1_lat = SmallMult(A, cos_loc1_lat);
const fixed b_cos_loc2_lat = SmallMult(B, cos_loc2_lat);
const fixed x = SmallMult(a_cos_loc1_lat, cos_loc1_lon)
+ SmallMult(b_cos_loc2_lat, cos_loc2_lon);
const fixed y = SmallMult(a_cos_loc1_lat, sin_loc1_lon)
+ SmallMult(b_cos_loc2_lat, sin_loc2_lon);
const fixed z = SmallMult(A, sin_loc1_lat) + SmallMult(B, sin_loc2_lat);
GeoPoint loc3;
loc3.latitude = Angle::FromXY(TinyHypot(x, y), z);
loc3.longitude = Angle::FromXY(x, y);
loc3.Normalize(); // ensure longitude is within -180:180
#ifdef INSTRUMENT_TASK
count_distbearing++;
#endif
return loc3;
}
Angle
SunEphemeris::CalcAzimuth(const GeoPoint &location,
const BrokenDateTime &date_time,
const fixed time_zone)
{
assert(date_time.Plausible());
fixed days_to_j2000 = FNday(date_time);
Angle l = GetMeanSunLongitude(days_to_j2000);
// Use GetEclipticLongitude to find the ecliptic longitude of the Sun
Angle lambda = GetEclipticLongitude(days_to_j2000, l);
// Obliquity of the ecliptic
Angle obliquity = Angle::Degrees(fixed(23.439) - fixed(.0000004) * days_to_j2000);
// Find the DEC of the Sun
Angle delta = Angle::asin(obliquity.sin() * lambda.sin());
return CalculateAzimuth(location, date_time, time_zone, delta);
}
void
CalculateThetaWEst()
{
int i;
for (i = 0; i < NUM_V_POINTS; i++) {
fixed Vwest = ItoV(i);
theta_west_ok[i] = EstimateW0(Vwest, i);
}
cos_theta_gps = theta_gps.cos();
sin_theta_gps = theta_gps.sin();
V_gps_x = iround(100 * V_gps * cos_theta_gps);
V_gps_y = iround(100 * V_gps * sin_theta_gps);
V_tas_l = iround(100 * V_tas);
}
bool
UpdateSearch_Inner(fixed V_west, Angle theta_best)
{
// given wind speed and direction, find TAS error
int V_west_x = iround(100 * V_west * theta_best.cos());
int V_west_y = iround(100 * V_west * theta_best.sin());
int verr = VError(V_west_x, V_west_y);
// search for minimum error
// (this is not monotonous)
if (verr >= error_best)
return false;
error_best = verr;
V_west_best = V_west;
theta_west_best = theta_best;
return true;
}
SunEphemeris::Result
SunEphemeris::CalcSunTimes(const GeoPoint &location,
const BrokenDateTime &date_time,
const fixed time_zone)
{
Result result;
assert(date_time.Plausible());
fixed days_to_j2000 = FNday(date_time);
Angle l = GetMeanSunLongitude(days_to_j2000);
// Use GetEclipticLongitude to find the ecliptic longitude of the Sun
Angle lambda = GetEclipticLongitude(days_to_j2000, l);
// Obliquity of the ecliptic
Angle obliquity = Angle::Degrees(fixed(23.439) - fixed(.0000004) * days_to_j2000);
// Find the RA and DEC of the Sun
Angle alpha = Angle::FromXY(lambda.cos(), obliquity.cos() * lambda.sin());
Angle delta = Angle::asin(obliquity.sin() * lambda.sin());
// Find the Equation of Time in minutes
// Correction suggested by David Smith
fixed ll = (l - alpha).Radians();
if (l.Radians() < fixed_pi)
ll += fixed_two_pi;
fixed equation = fixed(1440) * (fixed(1) - ll / fixed_two_pi);
Angle hour_angle = GetHourAngle(location.latitude, delta);
Angle hour_angle_twilight = GetHourAngleTwilight(location.latitude, delta);
result.azimuth = CalculateAzimuth(location, date_time, time_zone, delta);
// length of twilight in hours
fixed twilight_hours = (hour_angle_twilight - hour_angle).Hours();
// Conversion of angle to hours and minutes
result.day_length = Double(hour_angle.Hours());
if (result.day_length < fixed(0.0001))
// arctic winter
result.day_length = fixed(0);
result.time_of_sunrise = fixed(12) - hour_angle.Hours() + time_zone
- location.longitude.Degrees() / 15 + equation / 60;
if (result.time_of_sunrise > fixed(24))
result.time_of_sunrise -= fixed(24);
result.time_of_sunset = result.time_of_sunrise + result.day_length;
result.time_of_noon = result.time_of_sunrise + hour_angle.Hours();
// morning twilight begin
result.morning_twilight = result.time_of_sunrise - twilight_hours;
// evening twilight end
result.evening_twilight = result.time_of_sunset + twilight_hours;
return result;
}