#include "stdafx.h" #include "moon.h" #include "Globals.h" #include "mtable.h" #include "World.h" #include "utilities.h" #include "simulationtime.h" ////////////////////////////////////////////////////////////////////////////////////////// // cSun -- class responsible for dynamic calculation of position and intensity of the Sun, cMoon::cMoon() { setLocation( 19.00f, 52.00f ); // default location roughly in centre of Poland m_observer.press = 1013.0; // surface pressure, millibars m_observer.temp = 15.0; // ambient dry-bulb temperature, degrees C } cMoon::~cMoon() { gluDeleteQuadric( moonsphere ); } void cMoon::init() { m_observer.timezone = -1.0 * simulation::Time.zone_bias(); // NOTE: we're calculating phase just once, because it's unlikely simulation will last a few days, // plus a sudden texture change would be pretty jarring phase(); moonsphere = gluNewQuadric(); gluQuadricNormals( moonsphere, GLU_SMOOTH ); } void cMoon::update() { m_observer.temp = Global.AirTemperature; move(); glm::vec3 position( 0.f, 0.f, -1.f ); position = glm::rotateX( position, glm::radians( static_cast( m_body.elevref ) ) ); position = glm::rotateY( position, glm::radians( static_cast( -m_body.hrang ) ) ); m_position = glm::normalize( position ); } void cMoon::render() { ::glColor4f( 225.f / 255.f, 225.f / 255.f, 255.f / 255.f, 1.f ); // debug line to locate the moon easier auto const position { m_position * 2000.f }; ::glBegin( GL_LINES ); ::glVertex3fv( glm::value_ptr( position ) ); ::glVertex3f( position.x, 0.f, position.z ); ::glEnd(); ::glPushMatrix(); ::glTranslatef( position.x, position.y, position.z ); ::gluSphere( moonsphere, /* (float)( Global.iWindowHeight / Global.FieldOfView ) * 0.5 * */ ( m_body.distance / 60.2666 ) * 9.037461, 12, 12 ); ::glPopMatrix(); } glm::vec3 cMoon::getDirection() { return m_position; } float cMoon::getAngle() const { return (float)m_body.elevref; } float cMoon::getIntensity() { irradiance(); // NOTE: we don't have irradiance model for the moon so we cheat here // calculating intensity of the sun instead, and returning 15% of the value, // which roughly matches how much sunlight is reflected by the moon // We alter the intensity further based on current phase of the moon auto const phasefactor = 1.0f - std::abs( m_phase - 29.53f * 0.5f ) / ( 29.53f * 0.5f ); return static_cast( ( m_body.etr/ 1399.0 ) * phasefactor * 0.15 ); // arbitrary scaling factor taken from etrn value } void cMoon::setLocation( float const Longitude, float const Latitude ) { // convert fraction from geographical base of 6o minutes m_observer.longitude = (int)Longitude + (Longitude - (int)(Longitude)) * 100.0 / 60.0; m_observer.latitude = (int)Latitude + (Latitude - (int)(Latitude)) * 100.0 / 60.0 ; } // sets current time, overriding one acquired from the system clock void cMoon::setTime( int const Hour, int const Minute, int const Second ) { m_observer.hour = clamp( Hour, -1, 23 ); m_observer.minute = clamp( Minute, -1, 59 ); m_observer.second = clamp( Second, -1, 59 ); } void cMoon::setTemperature( float const Temperature ) { m_observer.temp = Temperature; } void cMoon::setPressure( float const Pressure ) { m_observer.press = Pressure; } void cMoon::move() { static double radtodeg = 57.295779513; // converts from radians to degrees static double degtorad = 0.0174532925; // converts from degrees to radians SYSTEMTIME localtime = simulation::Time.data(); // time for the calculation if( m_observer.hour >= 0 ) { localtime.wHour = m_observer.hour; } if( m_observer.minute >= 0 ) { localtime.wMinute = m_observer.minute; } if( m_observer.second >= 0 ) { localtime.wSecond = m_observer.second; } double localut = localtime.wHour + localtime.wMinute / 60.0 // too low resolution, noticeable skips + localtime.wSecond / 3600.0; // good enough in normal circumstances /* + localtime.wMilliseconds / 3600000.0; // for really smooth movement */ double daynumber = 367 * localtime.wYear - 7 * ( localtime.wYear + ( localtime.wMonth + 9 ) / 12 ) / 4 + 275 * localtime.wMonth / 9 + localtime.wDay - 730530 + ( localut / 24.0 ); // Universal Coordinated (Greenwich standard) time m_observer.utime = localut - m_observer.timezone; // obliquity of the ecliptic m_body.oblecl = clamp_circular( 23.4393 - 3.563e-7 * daynumber ); // moon parameters double longascnode = clamp_circular( 125.1228 - 0.0529538083 * daynumber ); // N, degrees double const inclination = 5.1454; // i, degrees double const mndistance = 60.2666; // a, in earth radii // argument of perigee double const perigeearg = clamp_circular( 318.0634 + 0.1643573223 * daynumber ); // w, degrees // mean anomaly m_body.mnanom = clamp_circular( 115.3654 + 13.0649929509 * daynumber ); // M, degrees // eccentricity double const e = 0.054900; // eccentric anomaly double E0 = m_body.mnanom + radtodeg * e * std::sin( degtorad * m_body.mnanom ) * ( 1.0 + e * std::cos( degtorad * m_body.mnanom ) ); double E1 = E0 - ( E0 - radtodeg * e * std::sin( degtorad * E0 ) - m_body.mnanom ) / ( 1.0 - e * std::cos( degtorad * E0 ) ); while( std::abs( E0 - E1 ) > 0.005 ) { // arbitrary precision tolerance threshold E0 = E1; E1 = E0 - ( E0 - radtodeg * e * std::sin( degtorad * E0 ) - m_body.mnanom ) / ( 1.0 - e * std::cos( degtorad * E0 ) ); } double const E = E1; // lunar orbit plane rectangular coordinates double const xv = mndistance * ( std::cos( degtorad * E ) - e ); double const yv = mndistance * std::sin( degtorad * E ) * std::sqrt( 1.0 - e*e ); // distance m_body.distance = std::sqrt( xv*xv + yv*yv ); // r // true anomaly m_body.tranom = clamp_circular( radtodeg * std::atan2( yv, xv ) ); // v // ecliptic rectangular coordinates double const vpluswinrad = degtorad * ( m_body.tranom + perigeearg ); double const xeclip = m_body.distance * ( std::cos( degtorad * longascnode ) * std::cos( vpluswinrad ) - std::sin( degtorad * longascnode ) * std::sin( vpluswinrad ) * std::cos( degtorad * inclination ) ); double const yeclip = m_body.distance * ( std::sin( degtorad * longascnode ) * std::cos( vpluswinrad ) + std::cos( degtorad * longascnode ) * std::sin( vpluswinrad ) * std::cos( degtorad * inclination ) ); double const zeclip = m_body.distance * std::sin( vpluswinrad ) * std::sin( degtorad * inclination ); // ecliptic coordinates double ecliplat = radtodeg * std::atan2( zeclip, std::sqrt( xeclip*xeclip + yeclip*yeclip ) ); m_body.eclong = clamp_circular( radtodeg * std::atan2( yeclip, xeclip ) ); // distance m_body.distance = std::sqrt( xeclip*xeclip + yeclip*yeclip + zeclip*zeclip ); // perturbations // NOTE: perturbation calculation can be safely disabled if we don't mind error of 1-2 degrees // Sun's mean anomaly: Ms (already computed) double const sunmnanom = clamp_circular( 356.0470 + 0.9856002585 * daynumber ); // M // Sun's mean longitude: Ls (already computed) double const sunphlong = clamp_circular( 282.9404 + 4.70935e-5 * daynumber ); double const sunmnlong = clamp_circular( sunphlong + sunmnanom ); // L = w + M // Moon's mean anomaly: Mm (already computed) // Moon's mean longitude: Lm = N + w + M (for the Moon) m_body.mnlong = clamp_circular( longascnode + perigeearg + m_body.mnanom ); // Moon's mean elongation: D = Lm - Ls double const mnelong = clamp_circular( m_body.mnlong - sunmnlong ); // Moon's argument of latitude: F = Lm - N double const arglat = clamp_circular( m_body.mnlong - longascnode ); // longitude perturbations double const pertevection = -1.274 * std::sin( degtorad * ( m_body.mnanom - 2.0 * mnelong ) ); // Evection double const pertvariation = +0.658 * std::sin( degtorad * ( 2.0 * mnelong ) ); // Variation double const pertyearlyeqt = -0.186 * std::sin( degtorad * sunmnanom ); // Yearly equation // latitude perturbations double const pertlat = -0.173 * std::sin( degtorad * ( arglat - 2.0 * mnelong ) ); m_body.eclong += pertevection + pertvariation + pertyearlyeqt; ecliplat += pertlat; // declination m_body.declin = radtodeg * std::asin( std::sin (m_body.oblecl * degtorad) * std::sin(m_body.eclong * degtorad) ); // right ascension double top = std::cos( degtorad * m_body.oblecl ) * std::sin( degtorad * m_body.eclong ); double bottom = std::cos( degtorad * m_body.eclong ); m_body.rascen = clamp_circular( radtodeg * std::atan2( top, bottom ) ); // Greenwich mean sidereal time m_observer.gmst = 6.697375 + 0.0657098242 * daynumber + m_observer.utime; m_observer.gmst -= 24.0 * (int)( m_observer.gmst / 24.0 ); if( m_observer.gmst < 0.0 ) m_observer.gmst += 24.0; // local mean sidereal time m_observer.lmst = m_observer.gmst * 15.0 + m_observer.longitude; m_observer.lmst -= 360.0 * (int)( m_observer.lmst / 360.0 ); if( m_observer.lmst < 0.0 ) m_observer.lmst += 360.0; // hour angle m_body.hrang = m_observer.lmst - m_body.rascen; if( m_body.hrang < -180.0 ) m_body.hrang += 360.0; // (force it between -180 and 180 degrees) else if( m_body.hrang > 180.0 ) m_body.hrang -= 360.0; double cz; // cosine of the solar zenith angle double tdatcd = std::cos( degtorad * m_body.declin ); double tdatch = std::cos( degtorad * m_body.hrang ); double tdatcl = std::cos( degtorad * m_observer.latitude ); double tdatsd = std::sin( degtorad * m_body.declin ); double tdatsl = std::sin( degtorad * m_observer.latitude ); cz = tdatsd * tdatsl + tdatcd * tdatcl * tdatch; // (watch out for the roundoff errors) if( fabs (cz) > 1.0 ) { cz >= 0.0 ? cz = 1.0 : cz = -1.0; } m_body.zenetr = std::acos( cz ) * radtodeg; m_body.elevetr = 90.0 - m_body.zenetr; refract(); } void cMoon::refract() { static double degtorad = 0.0174532925; // converts from degrees to radians double prestemp; // temporary pressure/temperature correction double refcor; // temporary refraction correction double tanelev; // tangent of the solar elevation angle // if the sun is near zenith, the algorithm bombs; refraction near 0. if( m_body.elevetr > 85.0 ) refcor = 0.0; else { tanelev = tan( degtorad * m_body.elevetr ); if( m_body.elevetr >= 5.0 ) refcor = 58.1 / tanelev - 0.07 / pow( tanelev, 3 ) + 0.000086 / pow( tanelev, 5 ); else if( m_body.elevetr >= -0.575 ) refcor = 1735.0 + m_body.elevetr * ( -518.2 + m_body.elevetr * ( 103.4 + m_body.elevetr * ( -12.79 + m_body.elevetr * 0.711 ) ) ); else refcor = -20.774 / tanelev; prestemp = ( m_observer.press * 283.0 ) / ( 1013.0 * ( 273.0 + m_observer.temp ) ); refcor *= prestemp / 3600.0; } // refracted solar elevation angle m_body.elevref = m_body.elevetr + refcor; // refracted solar zenith angle m_body.zenref = 90.0 - m_body.elevref; } void cMoon::irradiance() { static double radtodeg = 57.295779513; // converts from radians to degrees static double degtorad = 0.0174532925; // converts from degrees to radians m_body.dayang = ( simulation::Time.year_day() - 1 ) * 360.0 / 365.0; double sd = sin( degtorad * m_body.dayang ); // sine of the day angle double cd = cos( degtorad * m_body.dayang ); // cosine of the day angle or delination m_body.erv = 1.000110 + 0.034221*cd + 0.001280*sd; double d2 = 2.0 * m_body.dayang; double c2 = cos( degtorad * d2 ); double s2 = sin( degtorad * d2 ); m_body.erv += 0.000719*c2 + 0.000077*s2; double solcon = 1367.0; // Solar constant, 1367 W/sq m m_body.coszen = cos( degtorad * m_body.zenref ); if( m_body.coszen > 0.0 ) { m_body.etrn = solcon * m_body.erv; m_body.etr = m_body.etrn * m_body.coszen; } else { m_body.etrn = 0.0; m_body.etr = 0.0; } } void cMoon::phase() { // calculate moon's age in days from new moon float ip = normalize( ( simulation::Time.julian_day() - 2451550.1f ) / 29.530588853f ); m_phase = ip * 29.53f; } // normalize values to range 0...1 float cMoon::normalize( const float Value ) const { float value = Value - floor( Value ); if( value < 0.f ) { ++value; } return value; }