HDR: Use precomputed uniforms for atmospheric scattering
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d4dfafaac7
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4 changed files with 41 additions and 47 deletions
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@ -16,14 +16,16 @@ out vec4 fragColor;
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in vec2 texCoord;
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uniform mat4 fg_ViewMatrixInverse;
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uniform vec3 fg_CameraPositionCart;
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uniform vec3 fg_CameraPositionGeod;
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uniform vec3 fg_SunDirectionWorld;
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uniform sampler2D transmittance_lut;
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uniform sampler2D multiscattering_lut;
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uniform mat4 fg_ViewMatrixInverse;
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uniform vec3 fg_CameraPositionCart;
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uniform vec3 fg_SunDirectionWorld;
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uniform float fg_SunZenithCosTheta;
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uniform float fg_CameraDistanceToEarthCenter;
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uniform float fg_EarthRadius;
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const float PI = 3.141592653;
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const float ATMOSPHERE_RADIUS = 6471e3;
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const float TOTAL_SLICES = 32.0;
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@ -43,11 +45,7 @@ vec3 getValueFromLUT(sampler2D lut, float sunCosTheta, float normalizedHeight);
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void main()
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{
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vec3 up = normalize(fg_CameraPositionCart);
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float sunCosTheta = dot(fg_SunDirectionWorld, up);
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// Account for the depth layer we are currently in
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// FIXME: We should probably be writing the pixel center
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float x = texCoord.x * TOTAL_SLICES;
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vec2 coord = vec2(fract(x), texCoord.y);
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// Depth goes from the 0 to DEPTH_RANGE in a squared distribution.
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@ -59,16 +57,16 @@ void main()
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vec3 fragPos = positionFromDepth(coord, 1.0);
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vec3 rayDir = vec4(fg_ViewMatrixInverse * vec4(normalize(fragPos), 0.0)).xyz;
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float cameraHeight = length(fg_CameraPositionCart);
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float earthRadius = cameraHeight - max(fg_CameraPositionGeod.z, 0.0);
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vec3 rayOrigin = fg_CameraPositionCart;
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// Handle the camera being underground
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float earthRadius = min(fg_EarthRadius, fg_CameraDistanceToEarthCenter);
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float atmosDist = raySphereIntersection(rayOrigin, rayDir, ATMOSPHERE_RADIUS);
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float groundDist = raySphereIntersection(rayOrigin, rayDir, earthRadius);
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float tmax;
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if (cameraHeight < ATMOSPHERE_RADIUS) {
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if (fg_CameraDistanceToEarthCenter < ATMOSPHERE_RADIUS) {
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// We are inside the atmosphere
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if (groundDist < 0.0) {
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// No ground collision, use the distance to the outer atmosphere
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@ -99,8 +97,8 @@ void main()
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t = newT;
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vec3 samplePos = rayOrigin + rayDir * t;
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float height = length(samplePos) - earthRadius;
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float normalizedHeight = height / (ATMOSPHERE_RADIUS - earthRadius);
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float height = length(samplePos) - fg_EarthRadius;
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float normalizedHeight = height / (ATMOSPHERE_RADIUS - fg_EarthRadius);
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float mieScattering, mieAbsorption;
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vec3 rayleighScattering, ozoneAbsorption;
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@ -110,9 +108,9 @@ void main()
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vec3 sampleTransmittance = exp(-dt*extinction);
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vec3 sunTransmittance = getValueFromLUT(
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transmittance_lut, sunCosTheta, normalizedHeight);
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transmittance_lut, fg_SunZenithCosTheta, normalizedHeight);
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vec3 multiscattering = getValueFromLUT(
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multiscattering_lut, sunCosTheta, normalizedHeight);
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multiscattering_lut, fg_SunZenithCosTheta, normalizedHeight);
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vec3 S =
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rayleighScattering * (rayleighPhase * sunTransmittance + multiscattering) +
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@ -9,11 +9,10 @@ out vec3 fragColor;
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in vec2 texCoord;
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uniform vec3 fg_CameraPositionCart;
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uniform vec3 fg_CameraPositionGeod;
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uniform sampler2D transmittance_lut;
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uniform float fg_EarthRadius;
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const float PI = 3.141592653;
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const float ATMOSPHERE_RADIUS = 6471e3;
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const int SQRT_SAMPLES = 4;
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@ -44,8 +43,7 @@ void main()
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float sunCosTheta = texCoord.x * 2.0 - 1.0;
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vec3 sunDir = vec3(-sqrt(1.0 - sunCosTheta*sunCosTheta), 0.0, sunCosTheta);
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float earthRadius = length(fg_CameraPositionCart) - fg_CameraPositionGeod.z;
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float altitude = mix(earthRadius, ATMOSPHERE_RADIUS, texCoord.y);
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float altitude = mix(fg_EarthRadius, ATMOSPHERE_RADIUS, texCoord.y);
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vec3 rayOrigin = vec3(0.0, 0.0, altitude);
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vec3 Ltotal = vec3(0.0);
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@ -58,7 +56,7 @@ void main()
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vec3 rayDir = generateRayDir(theta, phi);
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float atmosDist = raySphereIntersection(rayOrigin, rayDir, ATMOSPHERE_RADIUS);
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float groundDist = raySphereIntersection(rayOrigin, rayDir, earthRadius);
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float groundDist = raySphereIntersection(rayOrigin, rayDir, fg_EarthRadius);
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float tmax;
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if (groundDist < 0.0) {
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@ -84,8 +82,8 @@ void main()
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t = newT;
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vec3 samplePos = rayOrigin + rayDir * t;
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float height = length(samplePos) - earthRadius;
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float normalizedHeight = height / (ATMOSPHERE_RADIUS - earthRadius);
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float height = length(samplePos) - fg_EarthRadius;
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float normalizedHeight = height / (ATMOSPHERE_RADIUS - fg_EarthRadius);
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float mieScattering, mieAbsorption;
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vec3 rayleighScattering, ozoneAbsorption;
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@ -116,8 +114,8 @@ void main()
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float pHeight = length(p);
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vec3 up = p / pHeight;
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float normHeight = (pHeight - earthRadius)
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/ (ATMOSPHERE_RADIUS - earthRadius);
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float normHeight = (pHeight - fg_EarthRadius)
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/ (ATMOSPHERE_RADIUS - fg_EarthRadius);
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float sunZenithCosTheta = dot(sunDir, up);
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vec3 transmittanceFromGround = getValueFromLUT(
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@ -13,13 +13,13 @@ out vec3 fragColor;
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in vec2 texCoord;
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uniform vec3 fg_CameraPositionCart;
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uniform vec3 fg_CameraPositionGeod;
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uniform vec3 fg_SunDirectionWorld;
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uniform sampler2D transmittance_lut;
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uniform sampler2D multiscattering_lut;
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uniform float fg_SunZenithCosTheta;
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uniform float fg_CameraDistanceToEarthCenter;
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uniform float fg_EarthRadius;
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const float PI = 3.141592653;
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const float ATMOSPHERE_RADIUS = 6471e3;
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@ -37,9 +37,9 @@ void main()
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{
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// Always leave the sun right in the middle of the texture as the skydome
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// model is already being rotated.
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vec3 up = normalize(fg_CameraPositionCart);
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float sunCosTheta = dot(fg_SunDirectionWorld, up);
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vec3 sunDir = vec3(-sqrt(1.0 - sunCosTheta*sunCosTheta), 0.0, sunCosTheta);
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vec3 sunDir = vec3(-sqrt(1.0 - fg_SunZenithCosTheta*fg_SunZenithCosTheta),
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0.0,
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fg_SunZenithCosTheta);
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float azimuth = 2.0 * PI * texCoord.x; // [0, 2pi]
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// Apply a non-linear transformation to the elevation to dedicate more
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@ -48,16 +48,16 @@ void main()
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float elev = l*l * sign(l) * PI * 0.5; // [-pi/2, pi/2]
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vec3 rayDir = vec3(cos(elev) * cos(azimuth), cos(elev) * sin(azimuth), sin(elev));
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float cameraHeight = length(fg_CameraPositionCart);
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float earthRadius = cameraHeight - max(fg_CameraPositionGeod.z, 0.0);
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vec3 rayOrigin = vec3(0.0, 0.0, fg_CameraDistanceToEarthCenter);
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vec3 rayOrigin = vec3(0.0, 0.0, cameraHeight);
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// Handle the camera being underground
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float earthRadius = min(fg_EarthRadius, fg_CameraDistanceToEarthCenter);
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float atmosDist = raySphereIntersection(rayOrigin, rayDir, ATMOSPHERE_RADIUS);
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float groundDist = raySphereIntersection(rayOrigin, rayDir, earthRadius);
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float tmax;
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if (cameraHeight < ATMOSPHERE_RADIUS) {
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if (fg_CameraDistanceToEarthCenter < ATMOSPHERE_RADIUS) {
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// We are inside the atmosphere
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if (groundDist < 0.0) {
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// No ground collision, use the distance to the outer atmosphere
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@ -86,8 +86,8 @@ void main()
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t = newT;
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vec3 samplePos = rayOrigin + rayDir * t;
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float height = length(samplePos) - earthRadius;
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float normalizedHeight = height / (ATMOSPHERE_RADIUS - earthRadius);
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float height = length(samplePos) - fg_EarthRadius;
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float normalizedHeight = height / (ATMOSPHERE_RADIUS - fg_EarthRadius);
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float mieScattering, mieAbsorption;
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vec3 rayleighScattering, ozoneAbsorption;
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@ -97,9 +97,9 @@ void main()
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vec3 sampleTransmittance = exp(-dt*extinction);
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vec3 sunTransmittance = getValueFromLUT(
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transmittance_lut, sunCosTheta, normalizedHeight);
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transmittance_lut, fg_SunZenithCosTheta, normalizedHeight);
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vec3 multiscattering = getValueFromLUT(
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multiscattering_lut, sunCosTheta, normalizedHeight);
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multiscattering_lut, fg_SunZenithCosTheta, normalizedHeight);
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vec3 S =
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rayleighScattering * (rayleighPhase * sunTransmittance + multiscattering) +
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@ -11,8 +11,7 @@ out vec3 fragColor;
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in vec2 texCoord;
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uniform vec3 fg_CameraPositionCart;
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uniform vec3 fg_CameraPositionGeod;
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uniform float fg_EarthRadius;
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const float ATMOSPHERE_RADIUS = 6471e3;
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const int TRANSMITTANCE_STEPS = 40;
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@ -27,8 +26,7 @@ void main()
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float sunCosTheta = texCoord.x * 2.0 - 1.0;
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vec3 sunDir = vec3(-sqrt(1.0 - sunCosTheta*sunCosTheta), 0.0, sunCosTheta);
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float earthRadius = length(fg_CameraPositionCart) - fg_CameraPositionGeod.z;
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float altitude = mix(earthRadius, ATMOSPHERE_RADIUS, texCoord.y);
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float altitude = mix(fg_EarthRadius, ATMOSPHERE_RADIUS, texCoord.y);
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vec3 rayOrigin = vec3(0.0, 0.0, altitude);
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float dist = raySphereIntersection(rayOrigin, sunDir, ATMOSPHERE_RADIUS);
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@ -41,7 +39,7 @@ void main()
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t = newT;
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vec3 samplePos = rayOrigin + sunDir * t;
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float height = length(samplePos) - earthRadius;
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float height = length(samplePos) - fg_EarthRadius;
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float mieScattering, mieAbsorption;
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vec3 rayleighScattering, ozoneAbsorption;
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