1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
|
#include "environment.h"
#include "gfx/lightDirection.h"
#include <chronology.h>
#include <gfx/gl/sceneRenderer.h>
constexpr Direction2D DONCASTER = {-1.1_degrees, 53.5_degrees};
Environment::Environment() : worldTime {"2026-06-01T12:00:00"_time_t}, earthPos {DONCASTER} { }
void
Environment::tick(TickDuration)
{
worldTime += 50;
}
time_t
Environment::getWorldTime() const
{
return worldTime;
}
Direction2D
Environment::getSunPos() const
{
return getSunPos(earthPos, worldTime);
}
void
Environment::render(const SceneRenderer & renderer, const SceneProvider & scene) const
{
constexpr RGB SUN_LIGHT {1, 1, .878F};
constexpr RGB SKY_BLUE {.529F, .808F, .922F};
constexpr RGB BASE_AMBIENT_LIGHT {0.1F};
const LightDirection sunPos {getSunPos()};
const auto scattered = SKY_BLUE * sunPos.atmosphericScattering() * sunPos.ambient();
const auto ambient = BASE_AMBIENT_LIGHT + scattered;
const auto directional = (SUN_LIGHT - BASE_AMBIENT_LIGHT - scattered) * sunPos.directional();
renderer.setAmbientLight(ambient);
renderer.setDirectionalLight(directional, sunPos, scene);
}
// Based on the C++ code published at https://www.psa.es/sdg/sunpos.htm
// Linked from https://www.pveducation.org/pvcdrom/properties-of-sunlight/suns-position-to-high-accuracy
Direction2D
Environment::getSunPos(const Direction2D position, const time_t time)
{
auto & longitude = position.x;
auto & latitude = position.y;
using std::acos;
using std::asin;
using std::atan2;
using std::cos;
using std::floor;
using std::sin;
using std::tan;
static const auto jD2451545 = "2000-01-01T12:00:00"_time_t;
// Calculate difference in days between the current Julian Day
// and JD 2451545.0, which is noon 1 January 2000 Universal Time
// Calculate time of the day in UT decimal hours
const auto dDecimalHours = static_cast<float>(time % 86400) / 3600.F;
const auto dElapsedJulianDays = static_cast<float>(time - jD2451545) / 86400.F;
// Calculate ecliptic coordinates (ecliptic longitude and obliquity of the
// ecliptic in radians but without limiting the angle to be less than 2*Pi
// (i.e., the result may be greater than 2*Pi)
const auto dOmega = 2.1429F - (0.0010394594F * dElapsedJulianDays);
const auto dMeanLongitude = 4.8950630F + (0.017202791698F * dElapsedJulianDays); // Radians
const auto dMeanAnomaly = 6.2400600F + (0.0172019699F * dElapsedJulianDays);
const auto dEclipticLongitude = dMeanLongitude + (0.03341607F * sin(dMeanAnomaly))
+ (0.00034894F * sin(2 * dMeanAnomaly)) - 0.0001134F - (0.0000203F * sin(dOmega));
const auto dEclipticObliquity = 0.4090928F - (6.2140e-9F * dElapsedJulianDays) + (0.0000396F * cos(dOmega));
// Calculate celestial coordinates ( right ascension and declination ) in radians
// but without limiting the angle to be less than 2*Pi (i.e., the result may be
// greater than 2*Pi)
const auto dSinEclipticLongitude = sin(dEclipticLongitude);
const auto decY = cos(dEclipticObliquity) * dSinEclipticLongitude;
const auto decX = cos(dEclipticLongitude);
auto dRightAscension = atan2(decY, decX);
if (dRightAscension < 0) {
dRightAscension = dRightAscension + two_pi;
}
const auto dDeclination = asin(sin(dEclipticObliquity) * dSinEclipticLongitude);
// Calculate local coordinates ( azimuth and zenith angle ) in degrees
const auto dGreenwichMeanSiderealTime = 6.6974243242F + (0.0657098283F * dElapsedJulianDays) + dDecimalHours;
const auto dLocalMeanSiderealTime
= ((dGreenwichMeanSiderealTime * 15.0F) + (longitude / degreesToRads)) * degreesToRads;
const auto dHourAngle = dLocalMeanSiderealTime - dRightAscension;
const auto dLatitudeInRadians = latitude;
const auto dCosLatitude = cos(dLatitudeInRadians);
const auto dSinLatitude = sin(dLatitudeInRadians);
const auto dCosHourAngle = cos(dHourAngle);
Direction2D udtSunCoordinates;
udtSunCoordinates.y
= (acos((dCosLatitude * dCosHourAngle * cos(dDeclination)) + (sin(dDeclination) * dSinLatitude)));
udtSunCoordinates.x = atan2(-sin(dHourAngle), (tan(dDeclination) * dCosLatitude) - (dSinLatitude * dCosHourAngle));
if (udtSunCoordinates.x < 0) {
udtSunCoordinates.x = udtSunCoordinates.x + two_pi;
}
// Parallax Correction
const auto dParallax = (earthMeanRadius / astronomicalUnit) * sin(udtSunCoordinates.y);
udtSunCoordinates.y = half_pi - (udtSunCoordinates.y + dParallax);
return udtSunCoordinates;
}
|