Eevee: Implement new LTC algorithm for Sphere Lights.

This is an improvement on the old spining quad method that was giving artifacts when the reflection ray was nearly aligned with the sphere center.
This might be a bit heavier but it's worth it.

1 files changed, 515 insertions, 0 deletions

diff --git a/source/blender/draw/engines/eevee/eevee_lut.h b/source/blender/draw/engines/eevee/eevee_lut.h
index d706110351e..3c2ffeb11a7 100644
--- a/source/blender/draw/engines/eevee/eevee_lut.h
+++ b/source/blender/draw/engines/eevee/eevee_lut.h
@@ -3345,6 +3345,521 @@ static float bsdf_split_sum_ggx[64 * 64 * 2] = {
 	0.626953f, 0.023544f, 0.616699f, 0.022186f, 0.605957f, 0.020920f, 0.594727f, 0.019730f
 };
 
+static float ltc_disk_integral[64 * 64] = {
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+	0.616207f, 0.636973f, 0.658150f, 0.679772f, 0.701876f, 0.724509f, 0.747730f, 0.771609f,
+	0.796240f, 0.821743f, 0.848280f, 0.876069f, 0.905404f, 0.936508f, 0.968254f, 1.000000f,
+	0.000000f, 0.000000f, 0.000020f, 0.001278f, 0.004450f, 0.009147f, 0.015050f, 0.021937f,
+	0.029649f, 0.038068f, 0.047106f, 0.056694f, 0.066777f, 0.077310f, 0.088257f, 0.099588f,
+	0.111277f, 0.123304f, 0.135650f, 0.148299f, 0.161237f, 0.174455f, 0.187941f, 0.201687f,
+	0.215687f, 0.229933f, 0.244420f, 0.259145f, 0.274103f, 0.289293f, 0.304711f, 0.320357f,
+	0.336230f, 0.352330f, 0.368658f, 0.385214f, 0.402002f, 0.419023f, 0.436282f, 0.453782f,
+	0.471529f, 0.489528f, 0.507788f, 0.526317f, 0.545124f, 0.564221f, 0.583621f, 0.603341f,
+	0.623397f, 0.643812f, 0.664611f, 0.685824f, 0.707488f, 0.729646f, 0.752354f, 0.775680f,
+	0.799715f, 0.824574f, 0.850417f, 0.877466f, 0.906040f, 0.936528f, 0.968254f, 1.000000f,
+	0.000000f, 0.000000f, 0.000183f, 0.002253f, 0.006282f, 0.011786f, 0.018436f, 0.026011f,
+	0.034358f, 0.043364f, 0.052944f, 0.063033f, 0.073580f, 0.084544f, 0.095889f, 0.107588f,
+	0.119617f, 0.131957f, 0.144591f, 0.157503f, 0.170682f, 0.184117f, 0.197799f, 0.211720f,
+	0.225873f, 0.240253f, 0.254854f, 0.269673f, 0.284707f, 0.299953f, 0.315408f, 0.331073f,
+	0.346946f, 0.363028f, 0.379318f, 0.395818f, 0.412530f, 0.429457f, 0.446602f, 0.463968f,
+	0.481561f, 0.499386f, 0.517450f, 0.535761f, 0.554328f, 0.573162f, 0.592275f, 0.611681f,
+	0.631398f, 0.651445f, 0.671845f, 0.692628f, 0.713827f, 0.735484f, 0.757650f, 0.780390f,
+	0.803789f, 0.827960f, 0.853056f, 0.879298f, 0.907014f, 0.936691f, 0.968254f, 1.000000f,
+	0.000000f, 0.000000f, 0.000617f, 0.003679f, 0.008674f, 0.015068f, 0.022531f, 0.030851f,
+	0.039880f, 0.049515f, 0.059675f, 0.070300f, 0.081343f, 0.092764f, 0.104533f, 0.116624f,
+	0.129015f, 0.141687f, 0.154626f, 0.167818f, 0.181252f, 0.194918f, 0.208807f, 0.222913f,
+	0.237229f, 0.251750f, 0.266473f, 0.281392f, 0.296505f, 0.311811f, 0.327306f, 0.342991f,
+	0.358864f, 0.374925f, 0.391176f, 0.407616f, 0.424249f, 0.441076f, 0.458100f, 0.475324f,
+	0.492754f, 0.510394f, 0.528251f, 0.546331f, 0.564644f, 0.583198f, 0.602005f, 0.621078f,
+	0.640434f, 0.660089f, 0.680066f, 0.700390f, 0.721094f, 0.742215f, 0.763800f, 0.785912f,
+	0.808628f, 0.832055f, 0.856338f, 0.881690f, 0.908441f, 0.937125f, 0.968254f, 1.000000f,
+	0.000000f, 0.000000f, 0.001477f, 0.005732f, 0.011826f, 0.019212f, 0.027573f, 0.036710f,
+	0.046487f, 0.056807f, 0.067598f, 0.078806f, 0.090386f, 0.102304f, 0.114532f, 0.127047f,
+	0.139828f, 0.152861f, 0.166130f, 0.179624f, 0.193332f, 0.207247f, 0.221360f, 0.235666f,
+	0.250158f, 0.264832f, 0.279684f, 0.294711f, 0.309911f, 0.325280f, 0.340819f, 0.356524f,
+	0.372397f, 0.388438f, 0.404645f, 0.421022f, 0.437569f, 0.454287f, 0.471181f, 0.488253f,
+	0.505507f, 0.522947f, 0.540580f, 0.558412f, 0.576449f, 0.594701f, 0.613178f, 0.631892f,
+	0.650856f, 0.670088f, 0.689606f, 0.709434f, 0.729600f, 0.750138f, 0.771093f, 0.792519f,
+	0.814488f, 0.837097f, 0.860481f, 0.884842f, 0.910494f, 0.937985f, 0.968254f, 1.000000f,
+	0.000000f, 0.000096f, 0.003012f, 0.008704f, 0.016071f, 0.024590f, 0.033968f, 0.044025f,
+	0.054641f, 0.065728f, 0.077225f, 0.089081f, 0.101260f, 0.113731f, 0.126469f, 0.139454f,
+	0.152670f, 0.166101f, 0.179736f, 0.193565f, 0.207578f, 0.221769f, 0.236130f, 0.250656f,
+	0.265343f, 0.280187f, 0.295183f, 0.310330f, 0.325624f, 0.341065f, 0.356650f, 0.372380f,
+	0.388253f, 0.404269f, 0.420430f, 0.436735f, 0.453187f, 0.469786f, 0.486536f, 0.503439f,
+	0.520498f, 0.537717f, 0.555102f, 0.572657f, 0.590390f, 0.608307f, 0.626419f, 0.644733f,
+	0.663264f, 0.682025f, 0.701032f, 0.720308f, 0.739875f, 0.759764f, 0.780014f, 0.800673f,
+	0.821803f, 0.843492f, 0.865860f, 0.889087f, 0.913466f, 0.939520f, 0.968350f, 1.000000f,
+	0.000000f, 0.000727f, 0.005696f, 0.013170f, 0.022074f, 0.031940f, 0.042520f, 0.053660f,
+	0.065258f, 0.077243f, 0.089562f, 0.102175f, 0.115050f, 0.128164f, 0.141495f, 0.155026f,
+	0.168745f, 0.182639f, 0.196699f, 0.210915f, 0.225282f, 0.239792f, 0.254440f, 0.269223f,
+	0.284135f, 0.299174f, 0.314337f, 0.329622f, 0.345026f, 0.360549f, 0.376189f, 0.391946f,
+	0.407819f, 0.423808f, 0.439914f, 0.456137f, 0.472479f, 0.488940f, 0.505523f, 0.522230f,
+	0.539064f, 0.556028f, 0.573125f, 0.590361f, 0.607741f, 0.625270f, 0.642957f, 0.660809f,
+	0.678836f, 0.697050f, 0.715465f, 0.734098f, 0.752968f, 0.772101f, 0.791529f, 0.811290f,
+	0.831438f, 0.852044f, 0.873210f, 0.895090f, 0.917932f, 0.942204f, 0.968981f, 1.000000f,
+	0.000000f, 0.002796f, 0.010764f, 0.020645f, 0.031576f, 0.043202f, 0.055340f, 0.067877f,
+	0.080740f, 0.093877f, 0.107250f, 0.120832f, 0.134598f, 0.148533f, 0.162620f, 0.176849f,
+	0.191210f, 0.205694f, 0.220294f, 0.235005f, 0.249820f, 0.264737f, 0.279751f, 0.294859f,
+	0.310058f, 0.325346f, 0.340721f, 0.356181f, 0.371725f, 0.387353f, 0.403063f, 0.418854f,
+	0.434727f, 0.450682f, 0.466718f, 0.482837f, 0.499038f, 0.515324f, 0.531695f, 0.548153f,
+	0.564700f, 0.581338f, 0.598070f, 0.614900f, 0.631830f, 0.648865f, 0.666011f, 0.683273f,
+	0.700659f, 0.718176f, 0.735834f, 0.753646f, 0.771625f, 0.789790f, 0.808162f, 0.826771f,
+	0.845654f, 0.864863f, 0.884472f, 0.904592f, 0.925407f, 0.947271f, 0.971050f, 1.000000f,
+	0.000000f, 0.015873f, 0.031746f, 0.047619f, 0.063492f, 0.079365f, 0.095238f, 0.111111f,
+	0.126984f, 0.142857f, 0.158730f, 0.174603f, 0.190476f, 0.206349f, 0.222222f, 0.238095f,
+	0.253968f, 0.269841f, 0.285714f, 0.301587f, 0.317460f, 0.333333f, 0.349206f, 0.365079f,
+	0.380952f, 0.396825f, 0.412698f, 0.428571f, 0.444444f, 0.460317f, 0.476190f, 0.492063f,
+	0.507937f, 0.523810f, 0.539683f, 0.555556f, 0.571429f, 0.587302f, 0.603175f, 0.619048f,
+	0.634921f, 0.650794f, 0.666667f, 0.682540f, 0.698413f, 0.714286f, 0.730159f, 0.746032f,
+	0.761905f, 0.777778f, 0.793651f, 0.809524f, 0.825397f, 0.841270f, 0.857143f, 0.873016f,
+	0.888889f, 0.904762f, 0.920635f, 0.936508f, 0.952381f, 0.968254f, 0.984127f, 1.000000f
+};
+
 static float btdf_split_sum_ggx[32][64 * 64] = {
 	{
 		0.000000f, 1.000000f, 0.999512f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 1.000000f, 0.999512f, 1.000000f,