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@ -28,150 +28,279 @@ |
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#include <cmath>
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#include <iostream>
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static constexpr float seconds_per_day = 24.0f * 60.0f * 60.0f; |
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static constexpr double hours_per_day = 24.0; |
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static constexpr double minutes_per_day = hours_per_day * 60.0; |
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static constexpr double seconds_per_day = minutes_per_day * 60.0; |
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weather_system::weather_system(entt::registry& registry): |
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entity_system(registry), |
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ambient_light(nullptr), |
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sun_light(nullptr), |
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moon_light(nullptr), |
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shadow_light(nullptr), |
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sky_pass(nullptr), |
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shadow_map_pass(nullptr), |
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material_pass(nullptr), |
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time_of_day(0.0f), |
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time_scale(1.0f), |
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sky_palette(nullptr), |
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shadow_palette(nullptr), |
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sun_direction{0.0f, -1.0f, 0.0f} |
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{} |
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void weather_system::update(double t, double dt) |
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/**
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* |
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* @param year Gregorian year |
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* @param month Month (1 = January, 12 = December) |
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* @param day Day (1-31) |
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* @param time Universal time in decimal hours. |
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*/ |
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static double julian_day(int year, int month, int day, double time) |
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{ |
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set_time_of_day(time_of_day + dt * time_scale); |
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if (month < 3) |
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{ |
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month += 12; |
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year -= 1; |
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} |
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double y = static_cast<double>(year); |
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double m = static_cast<double>(month); |
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double d = static_cast<double>(day); |
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return std::floor(365.25 * y) + std::floor(30.6001 * (m + 1.0)) - 15.0 + 1720996.5 + d + time; |
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} |
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void weather_system::set_ambient_light(::ambient_light* light) |
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void find_sun_ecliptic(double jd, double* longitude, double* latitude, double* distance) |
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{ |
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this->ambient_light = light; |
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const double t = (jd - 2451545.0) / 36525.0; |
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const double m = 6.24 + 628.302 * t; |
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*longitude = 4.895048 + 628.331951 * t + (0.033417 - 0.000084 * t) * std::sin(m) + 0.000351 * std::sin(m * 2.0); |
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*latitude = 0.0; |
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*distance = 1.000140 - (0.016708 - 0.000042 * t) * std::cos(m) - 0.000141 * std::cos(m * 2.0); |
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} |
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void weather_system::set_sun_light(directional_light* light) |
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/**
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* Calculates the ecliptic geocentric coordinates of the moon, given a Julian day. |
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* |
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* @param[in] jd Julian day. |
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* @param[out] longitude Ecliptic longitude of the moon, in radians. |
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* @param[out] latitude Ecliptic latitude of the moon, in radians. |
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* @param[out] distance Distance to the moon, in Earth radii. |
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* @return Array containing the ecliptic longitude and latitude of the moon, in radians. |
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* |
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* @see A Physically-Based Night Sky Model |
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*/ |
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void find_moon_ecliptic(double jd, double* longitude, double* latitude, double* distance) |
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{ |
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sun_light = light; |
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const double t = (jd - 2451545.0) / 36525.0; |
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const double l1 = 3.8104 + 8399.7091 * t; |
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const double m1 = 2.3554 + 8328.6911 * t; |
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const double m = 6.2300 + 628.3019 * t; |
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const double d = 5.1985 + 7771.3772 * t; |
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const double d2 = d * 2.0; |
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const double f = 1.6280 + 8433.4663 * t; |
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if (sky_pass) |
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{ |
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sky_pass->set_sun_light(sun_light); |
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} |
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} |
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*longitude = l1 |
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+ 0.1098 * std::sin(m1) |
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+ 0.0222 * std::sin(d2 - m1) |
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+ 0.0115 * std::sin(d2) |
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+ 0.0037 * std::sin(m1 * 2.0) |
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- 0.0032 * std::sin(m) |
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- 0.0020 * std::sin(d2) |
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+ 0.0010 * std::sin(d2 - m1 * 2.0) |
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+ 0.0010 * std::sin(d2 - m - m1) |
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+ 0.0009 * std::sin(d2 + m1) |
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+ 0.0008 * std::sin(d2 - m) |
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+ 0.0007 * std::sin(m1 - m) |
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- 0.0006 * std::sin(d) |
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- 0.0005 * std::sin(m + m1); |
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void weather_system::set_moon_light(directional_light* light) |
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{ |
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moon_light = light; |
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*latitude = 0.0895 * sin(f) |
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+ 0.0049 * std::sin(m1 + f) |
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+ 0.0048 * std::sin(m1 - f) |
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+ 0.0030 * std::sin(d2 - f) |
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+ 0.0010 * std::sin(d2 + f - m1) |
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+ 0.0008 * std::sin(d2 - f - m1) |
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+ 0.0006 * std::sin(d2 + f); |
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if (sky_pass) |
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{ |
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sky_pass->set_moon_light(moon_light); |
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} |
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*distance = 1.0 / (0.016593 |
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+ 0.000904 * std::cos(m1) |
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+ 0.000166 * std::cos(d2 - m1) |
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+ 0.000137 * std::cos(d2) |
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+ 0.000049 * std::cos(m1 * 2.0) |
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+ 0.000015 * std::cos(d2 + m1) |
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+ 0.000009 * std::cos(d2 - m)); |
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} |
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void weather_system::set_sky_pass(::sky_pass* pass) |
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void ecliptic_to_equatorial(double longitude, double latitude, double ecl, double* right_ascension, double* declination) |
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{ |
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sky_pass = pass; |
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double eclip_x = std::cos(longitude) * std::cos(latitude); |
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double eclip_y = std::sin(longitude) * std::cos(latitude); |
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double eclip_z = std::sin(latitude); |
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if (sky_pass) |
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{ |
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sky_pass->set_sun_light(sun_light); |
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sky_pass->set_moon_light(moon_light); |
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} |
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double equat_x = eclip_x; |
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double equat_y = eclip_y * std::cos(ecl) - eclip_z * std::sin(ecl); |
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double equat_z = eclip_y * std::sin(ecl) + eclip_z * std::cos(ecl); |
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*right_ascension = std::atan2(equat_y, equat_x); |
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*declination = std::atan2(equat_z, sqrt(equat_x * equat_x + equat_y * equat_y)); |
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} |
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void weather_system::set_shadow_map_pass(::shadow_map_pass* pass) |
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void equatorial_to_horizontal(double right_ascension, double declination, double lmst, double latitude, double* azimuth, double* elevation) |
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{ |
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shadow_map_pass = pass; |
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double hour_angle = lmst - right_ascension; |
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if (shadow_map_pass) |
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{ |
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shadow_map_pass->set_light(shadow_light); |
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} |
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double x = std::cos(hour_angle) * std::cos(declination); |
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double y = std::sin(hour_angle) * std::cos(declination); |
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double z = std::sin(declination); |
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double horiz_x = x * std::cos(math::half_pi<double> - latitude) - z * std::sin(math::half_pi<double> - latitude); |
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double horiz_y = y; |
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double horiz_z = x * std::sin(math::half_pi<double> - latitude) + z * std::cos(math::half_pi<double> - latitude); |
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*azimuth = std::atan2(horiz_y, horiz_x) + math::pi<double>; |
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*elevation = std::atan2(horiz_z, std::sqrt(horiz_x * horiz_x + horiz_y * horiz_y)); |
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} |
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void weather_system::set_material_pass(::material_pass* pass) |
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{ |
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material_pass = pass; |
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if (material_pass) |
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{ |
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material_pass->set_shadow_strength(0.75f); |
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} |
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/**
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* Calculates the Greenwich mean sidereal time (GMST) from a Julian day. |
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* |
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* @param jd Julian day. |
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* @return GMST, in radians. |
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*/ |
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static double jd_to_gmst(double jd) |
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{ |
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return math::wrap_radians<double>(4.894961212 + 6.300388098 * (jd - 2451545.0)); |
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} |
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void weather_system::set_time_of_day(float t) |
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{ |
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time_of_day = std::fmod(seconds_per_day + fmod(t, seconds_per_day), seconds_per_day); |
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weather_system::weather_system(entt::registry& registry): |
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entity_system(registry), |
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ambient_light(nullptr), |
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sun_light(nullptr), |
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moon_light(nullptr), |
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shadow_light(nullptr), |
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sky_pass(nullptr), |
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shadow_map_pass(nullptr), |
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material_pass(nullptr), |
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time_scale(1.0f), |
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sky_palette(nullptr), |
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shadow_palette(nullptr), |
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sun_direction{0.0f, -1.0f, 0.0f}, |
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coordinates{0.0f, 0.0f}, |
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jd(0.0) |
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{} |
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void weather_system::update(double t, double dt) |
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{ |
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jd += (dt * time_scale) / seconds_per_day; |
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const float latitude = coordinates[0]; |
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const float longitude = coordinates[1]; |
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//sun_azimuth = 0.0f;
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//sun_elevation = (time_of_day / seconds_per_day) * math::two_pi<float> - math::half_pi<float>;
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// Time correction
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double tc = longitude / (math::two_pi<double> / 24.0); |
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//double pst_tc = -7.0;
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double local_jd = jd + tc / 24.0 - 0.5; |
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double local_time = (local_jd - std::floor(local_jd)) * 24.0; |
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double hour = local_time; |
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float hour_angle = math::wrap_radians(time_of_day * (math::two_pi<float> / seconds_per_day) - math::pi<float>); |
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float declination = math::radians(0.0f); |
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float latitude = math::radians(0.0f); |
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sun_elevation = std::asin(std::sin(declination) * std::sin(latitude) + std::cos(declination) * std::cos(hour_angle) * std::cos(latitude)); |
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sun_azimuth = std::acos((std::sin(declination) * std::cos(latitude) - std::cos(declination) * std::cos(hour_angle) * std::sin(latitude)) / std::cos(sun_elevation)); |
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if (hour_angle < 0.0f) |
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// Calculate equation of time
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//float eot_b = (360.0f / 365.0f) * (day_of_year - 81.0f);
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//float eot = 9.87f * std::sin(eot_b * 2.0f) - 7.53f * std::cos(eot_b) - 1.5f * std::sin(eot_b);
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// Calculate local mean sidereal time (LST)
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//double tc = longitude / (math::two_pi<double> / 24.0); // Time correction
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//double ut = local_time + tc; // Universal time
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double gmst = jd_to_gmst(jd); |
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double lmst = gmst + longitude; |
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// Calculate sun position
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//float local_solar_time = local_time;// + eot / 60.0f;
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/*
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float sun_declination = math::radians(23.45f) * std::sin((math::two_pi<float> / 365.0f) * (284.0f + day_of_year)); |
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float sun_hour_angle = math::radians(15.0f) * (local_solar_time - 12.0f); |
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sun_elevation = std::asin(std::sin(sun_declination) * std::sin(latitude) + std::cos(sun_declination) * std::cos(sun_hour_angle) * std::cos(latitude)); |
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sun_azimuth = std::acos((std::sin(sun_declination) * std::cos(latitude) - std::cos(sun_declination) * std::cos(sun_hour_angle) * std::sin(latitude)) / std::cos(sun_elevation)); |
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if (sun_hour_angle > 0.0f) |
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sun_azimuth = math::two_pi<float> - sun_azimuth; |
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*/ |
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//std::cout << "hour angle: " << math::degrees(hour_angle) << std::endl;
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//std::cout << "azimuth: " << math::degrees(sun_azimuth) << std::endl;
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//std::cout << "time: " << (time_of_day / 60.0f / 60.0f) << std::endl;
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// J2000 day
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double d = jd - 2451545.0; |
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math::quaternion<float> sun_azimuth_rotation = math::angle_axis(sun_azimuth, float3{0, 1, 0}); |
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math::quaternion<float> sun_elevation_rotation = math::angle_axis(sun_elevation, float3{-1, 0, 0}); |
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math::quaternion<float> sun_rotation = math::normalize(sun_azimuth_rotation * sun_elevation_rotation); |
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sun_direction = math::normalize(sun_rotation * float3{0, 0, -1}); |
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// Obliquity of the ecliptic
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double ecl = math::radians<double>(23.4393 - 3.563e-7 * d); |
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// Calculation sun position
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double sun_longitude; |
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double sun_latitude; |
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double sun_distance; |
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double sun_right_ascension; |
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double sun_declination; |
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double sun_azimuth; |
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double sun_elevation; |
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find_sun_ecliptic(jd, &sun_longitude, &sun_latitude, &sun_distance); |
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ecliptic_to_equatorial(sun_longitude, sun_latitude, ecl, &sun_right_ascension, &sun_declination); |
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equatorial_to_horizontal(sun_right_ascension, sun_declination, lmst, latitude, &sun_azimuth, &sun_elevation); |
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// Calculate moon position
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double moon_longitude; |
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double moon_latitude; |
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double moon_distance; |
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double moon_right_ascension; |
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double moon_declination; |
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double moon_azimuth; |
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double moon_elevation; |
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find_moon_ecliptic(jd, &moon_longitude, &moon_latitude, &moon_distance); |
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ecliptic_to_equatorial(moon_longitude, moon_latitude, ecl, &moon_right_ascension, &moon_declination); |
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equatorial_to_horizontal(moon_right_ascension, moon_declination, lmst, latitude, &moon_azimuth, &moon_elevation); |
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/*
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std::cout.precision(10); |
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std::cout << std::fixed; |
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//std::cout << "gmst: " << math::degrees<double>(gmst) << std::endl;
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std::cout << "JD: " << jd << std::endl; |
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std::cout << "PST: " << pst_time << std::endl; |
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std::cout << "AZ: " << math::degrees(sun_azimuth) << std::endl; |
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std::cout << "EL: " << math::degrees(sun_elevation) << std::endl; |
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std::cout << "DEC: " << math::degrees(sun_declination) << std::endl; |
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//std::cout << "eOT: " << eot << std::endl;
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*/ |
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if (sun_light) |
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{ |
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math::quaternion<float> sun_azimuth_rotation = math::angle_axis((float)sun_azimuth, float3{0, 1, 0}); |
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math::quaternion<float> sun_elevation_rotation = math::angle_axis((float)sun_elevation, float3{-1, 0, 0}); |
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math::quaternion<float> sun_rotation = math::normalize(sun_azimuth_rotation * sun_elevation_rotation); |
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sun_direction = math::normalize(sun_rotation * float3{0, 0, -1}); |
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sun_light->set_rotation(sun_rotation); |
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} |
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if (moon_light) |
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{ |
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math::quaternion<float> moon_azimuth_rotation = math::angle_axis(sun_azimuth, float3{0, 1, 0}); |
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math::quaternion<float> moon_elevation_rotation = math::angle_axis(sun_elevation, float3{1, 0, 0}); |
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math::quaternion<float> moon_azimuth_rotation = math::angle_axis((float)moon_azimuth, float3{0, 1, 0}); |
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math::quaternion<float> moon_elevation_rotation = math::angle_axis((float)moon_elevation, float3{-1, 0, 0}); |
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math::quaternion<float> moon_rotation = math::normalize(moon_azimuth_rotation * moon_elevation_rotation); |
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moon_light->set_rotation(moon_rotation); |
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} |
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std::size_t hour_index = static_cast<std::size_t>(hour); |
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float lerp_factor = hour - std::floor(hour); |
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if (sky_pass) |
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{ |
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float hour = time_of_day / (60.0f * 60.0f); |
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std::size_t hour_index = static_cast<std::size_t>(hour); |
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const std::array<float4, 4>& gradient0 = sky_gradients[hour_index]; |
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const std::array<float4, 4>& gradient1 = sky_gradients[(hour_index + 1) % sky_gradients.size()]; |
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float t = hour - std::floor(hour); |
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std::array<float4, 4> gradient; |
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for (int i = 0; i < 4; ++i) |
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{ |
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gradient[i] = math::lerp(gradient0[i], gradient1[i], t); |
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gradient[i] = math::lerp(gradient0[i], gradient1[i], lerp_factor); |
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} |
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float3 sun_color0 = sun_colors[hour_index]; |
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float3 sun_color1 = sun_colors[(hour_index + 1) % sun_colors.size()]; |
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float3 sun_color = math::lerp(sun_color0, sun_color1, t); |
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float3 sun_color = math::lerp(sun_color0, sun_color1, lerp_factor); |
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float3 moon_color0 = moon_colors[hour_index]; |
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float3 moon_color1 = moon_colors[(hour_index + 1) % moon_colors.size()]; |
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float3 moon_color = math::lerp(moon_color0, moon_color1, t); |
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float3 moon_color = math::lerp(moon_color0, moon_color1, lerp_factor); |
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float3 ambient_color0 = ambient_colors[hour_index]; |
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float3 ambient_color1 = ambient_colors[(hour_index + 1) % sun_colors.size()]; |
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float3 ambient_color = math::lerp(ambient_color0, ambient_color1, t); |
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float3 ambient_color = math::lerp(ambient_color0, ambient_color1, lerp_factor); |
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sun_light->set_color(sun_color); |
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@ -181,16 +310,99 @@ void weather_system::set_time_of_day(float t) |
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ambient_light->set_color(ambient_color); |
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sky_pass->set_sky_gradient(gradient); |
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sky_pass->set_time_of_day(time_of_day); |
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sky_pass->set_time_of_day(hour * 60.0 * 60.0); |
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} |
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shadow_light = sun_light; |
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if (shadow_map_pass) |
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{ |
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if (sun_elevation < 0.0f) |
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{ |
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shadow_map_pass->set_light(moon_light); |
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} |
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else |
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{ |
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shadow_map_pass->set_light(sun_light); |
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} |
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} |
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if (material_pass) |
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{ |
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float shadow_strength0 = shadow_strengths[hour_index]; |
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float shadow_strength1 = shadow_strengths[(hour_index + 1) % shadow_strengths.size()]; |
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float shadow_strength = math::lerp(shadow_strength0, shadow_strength1, lerp_factor); |
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material_pass->set_shadow_strength(shadow_strength); |
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} |
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} |
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void weather_system::set_coordinates(const float2& coordinates) |
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{ |
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this->coordinates = coordinates; |
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} |
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void weather_system::set_ambient_light(::ambient_light* light) |
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{ |
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this->ambient_light = light; |
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} |
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void weather_system::set_sun_light(directional_light* light) |
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{ |
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sun_light = light; |
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if (sky_pass) |
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{ |
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sky_pass->set_sun_light(sun_light); |
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} |
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} |
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void weather_system::set_moon_light(directional_light* light) |
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{ |
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moon_light = light; |
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if (sky_pass) |
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{ |
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sky_pass->set_moon_light(moon_light); |
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} |
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} |
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void weather_system::set_sky_pass(::sky_pass* pass) |
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{ |
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sky_pass = pass; |
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if (sky_pass) |
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{ |
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sky_pass->set_sun_light(sun_light); |
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sky_pass->set_moon_light(moon_light); |
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} |
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} |
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void weather_system::set_shadow_map_pass(::shadow_map_pass* pass) |
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{ |
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shadow_map_pass = pass; |
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if (shadow_map_pass) |
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{ |
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shadow_map_pass->set_light(shadow_light); |
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} |
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} |
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void weather_system::set_material_pass(::material_pass* pass) |
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{ |
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material_pass = pass; |
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if (material_pass) |
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{ |
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material_pass->set_shadow_strength(0.75f); |
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} |
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} |
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void weather_system::set_time(int year, int month, int day, int hour, int minute, int second, double tc) |
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{ |
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double time = ((static_cast<double>(hour) - tc) + ((static_cast<double>(minute) + static_cast<double>(second) / 60.0) / 60.0)) / 24.0; |
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jd = julian_day(year, month, day, time); |
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} |
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void weather_system::set_time_scale(float scale) |
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{ |
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time_scale = scale; |
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@ -312,4 +524,21 @@ void weather_system::set_ambient_palette(const ::image* image) |
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void weather_system::set_shadow_palette(const ::image* image) |
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{ |
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shadow_palette = image; |
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if (shadow_palette) |
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{ |
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unsigned int w = image->get_width(); |
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unsigned int h = image->get_height(); |
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unsigned int c = image->get_channels(); |
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const unsigned char* pixels = static_cast<const unsigned char*>(image->get_pixels()); |
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for (unsigned int x = 0; x < w; ++x) |
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{ |
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unsigned int y = 0; |
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unsigned int i = y * w * c + x * c; |
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float r = 1.0f - (static_cast<float>(pixels[i]) / 255.0f); |
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shadow_strengths.push_back(r); |
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} |
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} |
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} |