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275 lines
11 KiB
GLSL
275 lines
11 KiB
GLSL
//https://gamedev.stackexchange.com/questions/92015/optimized-linear-to-srgb-glsl
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vec3 srgb_to_linear(vec3 srgb) {
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bvec3 cutoff = lessThan(srgb, vec3(0.04045));
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vec3 higher = pow((srgb + vec3(0.055))/vec3(1.055), vec3(2.4));
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vec3 lower = srgb/vec3(12.92);
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return mix(higher, lower, cutoff);
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}
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vec3 linear_to_srgb(vec3 col) {
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// bvec3 cutoff = lessThan(col, vec3(0.0060));
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// return mix(11.500726 * col, , cutoff);
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vec3 s1 = vec3(sqrt(col.r), sqrt(col.g), sqrt(col.b));
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vec3 s2 = vec3(sqrt(s1.r), sqrt(s1.g), sqrt(s1.b));
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vec3 s3 = vec3(sqrt(s2.r), sqrt(s2.g), sqrt(s2.b));
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return vec3(
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mix(11.500726 * col.r, (0.585122381 * s1.r + 0.783140355 * s2.r - 0.368262736 * s3.r), clamp((col.r - 0.0060) * 10000.0, 0.0, 1.0)),
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mix(11.500726 * col.g, (0.585122381 * s1.g + 0.783140355 * s2.g - 0.368262736 * s3.g), clamp((col.g - 0.0060) * 10000.0, 0.0, 1.0)),
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mix(11.500726 * col.b, (0.585122381 * s1.b + 0.783140355 * s2.b - 0.368262736 * s3.b), clamp((col.b - 0.0060) * 10000.0, 0.0, 1.0))
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);
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}
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float pow5(float x) {
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float x2 = x * x;
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return x2 * x2 * x;
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}
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// Fresnel angle for perfectly specular dialectric materials.
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// Schlick approximation
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vec3 schlick_fresnel(vec3 Rs, float cosTheta) {
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// auto pow5 = [](Float v) { return (v * v) * (v * v) * v; };
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// return Rs + pow5(1 - cosTheta) * (Spectrum(1.) - Rs);
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return Rs + pow5(1.0 - cosTheta) * (1.0 - Rs);
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}
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// Beckmann Distribution
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float BeckmannDistribution_D(float NdotH, float alpha) {
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const float PI = 3.1415926535897932384626433832795;
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float NdotH2 = NdotH * NdotH;
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float NdotH2m2 = NdotH2 * alpha * alpha;
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float k_spec = exp((NdotH2 - 1) / NdotH2m2) / (PI * NdotH2m2 * NdotH2);
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return mix(k_spec, 0.0, NdotH == 0.0);
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}
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float BeckmannDistribution_Lambda(vec3 norm, vec3 dir, float alpha) {
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float CosTheta = /*max(dot(norm, dir), 0.0);*/dot(norm, dir);
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/* if (CosTheta == 0.0) {
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return 0.0;
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}
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float SinTheta = sqrt(1.0 - CosTheta * CosTheta);
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float TanTheta = SinTheta / CosTheta;
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float absTanTheta = abs(TanTheta); */
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// vec3 w = normalize(dir - dot(dir, norm) * (norm));
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// float CosTheta = w.z;
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float SinTheta = sqrt(1.0 - CosTheta * CosTheta);
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float TanTheta = SinTheta / CosTheta;
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float absTanTheta = abs(TanTheta);
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/* if (isinf(absTanTheta)) {
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return 0.0;
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} */
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/* float CosPhi = mix(clamp(projDirNorm.x / sinTheta, -1.0, 1.0), 0.0, sinTheta == 0.0);
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float SinPhi = mix(clamp(projDirNorm.y / sinTheta, -1.0, 1.0), 0.0, sinTheta == 0.0);
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float alpha = sqrt(CosPhi * CosPhi * alphax * alphax + SinPhi * SinPhi * alphay * alphay); */
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// Float absTanTheta = std::abs(TanTheta(w));
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// if (std::isinf(absTanTheta)) return 0.;
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// <<Compute alpha for direction w>>
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// Float alpha = std::sqrt(Cos2Phi(w) * alphax * alphax +
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// Sin2Phi(w) * alphay * alphay);
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float a = 1.0 / (alpha * absTanTheta);
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/* if (a >= 1.6) {
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return 0.0;
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}
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return (1.0 - 1.259 * a + 0.396 * a * a) / (3.535 * a + 2.181 * a * a); */
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return mix(max(0.0, (1.0 - 1.259 * a + 0.396 * a * a) / (3.535 * a + 2.181 * a * a)), 0.0, isinf(absTanTheta) || a >= 1.6);
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// Float a = 1 / (alpha * absTanTheta);
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// if (a >= 1.6f)
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// return 0;
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// return (1 - 1.259f * a + 0.396f * a * a) /
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// (3.535f * a + 2.181f * a * a);
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// return 1 / (1 + Lambda(wo) + Lambda(wi));
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}
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float BeckmannDistribution_G(vec3 norm, vec3 dir, vec3 light_dir, float alpha) {
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// return 1 / (1 + Lambda(wo) + Lambda(wi));
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return 1.0 / (1.0 + BeckmannDistribution_Lambda(norm, dir, alpha) + BeckmannDistribution_Lambda(norm, -light_dir, alpha));
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}
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// Fresnel blending
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//
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// http://www.pbr-book.org/3ed-2018/Reflection_Models/Microfacet_Models.html#fragment-MicrofacetDistributionPublicMethods-2
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// and
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// http://www.pbr-book.org/3ed-2018/Reflection_Models/Fresnel_Incidence_Effects.html
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vec3 FresnelBlend_f(vec3 norm, vec3 dir, vec3 light_dir, vec3 R_d, vec3 R_s, float alpha) {
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const float PI = 3.1415926535897932384626433832795;
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alpha = alpha * sqrt(2.0);
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float cos_wi = /*max(*/dot(-light_dir, norm)/*, 0.0)*/;
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float cos_wo = /*max(*/dot(dir, norm)/*, 0.0)*/;
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vec3 diffuse = (28.0 / (23.0 * PI)) * R_d *
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(1.0 - R_s) *
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(1.0 - pow5(1.0 - 0.5 * abs(cos_wi))) *
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(1.0 - pow5(1.0 - 0.5 * abs(cos_wo)));
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/* Spectrum diffuse = (28.f/(23.f*Pi)) * Rd *
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(Spectrum(1.f) - Rs) *
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(1 - pow5(1 - .5f * AbsCosTheta(wi))) *
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(1 - pow5(1 - .5f * AbsCosTheta(wo))); */
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// Vector3f wh = wi + wo;
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vec3 wh = -light_dir + dir;
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if (cos_wi <= 0.0 || cos_wo <= 0.0) {
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return vec3(/*diffuse*/0.0);
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}
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// if (cos_wo < 0.0) {
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// return /*vec3(0.0)*/diffuse;
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// }
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/* if (cos_wi == 0.0 || cos_wo == 0.0) {
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return vec3(0.0);
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} */
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/* if (wh.x == 0 && wh.y == 0 && wh.z == 0) {
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return vec3(0.0);
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// return Spectrum(0);
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} */
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wh = normalize(wh);//mix(normalize(wh), vec3(0.0), equal(light_dir, dir));
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float dot_wi_wh = dot(-light_dir, wh);
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vec3 specular = BeckmannDistribution_D(dot(wh, norm), alpha) /
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(4 * abs(dot_wi_wh)) *
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max(abs(cos_wi), abs(cos_wo)) *
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schlick_fresnel(R_s, dot_wi_wh);
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// Spectrum specular = distribution->D(wh) /
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// (4 * AbsDot(wi, wh) *
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// std::max(AbsCosTheta(wi), AbsCosTheta(wo))) *
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// SchlickFresnel(Dot(wi, wh));
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return mix(/*diffuse*//* + specular*/diffuse + specular, vec3(0.0), bvec3(all(equal(light_dir, dir))));
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}
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// Phong reflection.
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//
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// Note: norm, dir, light_dir must all be normalizd.
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vec3 light_reflection_factor(vec3 norm, vec3 dir, vec3 light_dir, vec3 k_d, vec3 k_s, float alpha) {
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// TODO: These are supposed to be the differential changes in the point location p, in tangent space.
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// That is, assuming we can parameterize a 2D surface by some function p : R² → R³, mapping from
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// points in a plane to 3D points on the surface, we can define
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// ∂p(u,v)/∂u and ∂p(u,v)/∂v representing the changes in the pont location as we move along these
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// coordinates.
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//
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// Then we can define the normal at a point, n(u,v) = ∂p(u,v)/∂u × ∂p(u,v)/∂v.
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//
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// Additionally, we can define the change in *normals* at each point using the
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// Weingarten equations (see http://www.pbr-book.org/3ed-2018/Shapes/Spheres.html):
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//
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// ∂n/∂u = (fF - eG) / (EG - F²) ∂p/∂u + (eF - fE) / (EG - F²) ∂p/∂v
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// ∂n/∂v = (gF - fG) / (EG - F²) ∂p/∂u + (fF - gE) / (EG - F²) ∂p/∂v
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//
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// where
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//
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// E = |∂p/∂u ⋅ ∂p/∂u|
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// F = ∂p/∂u ⋅ ∂p/∂u
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// G = |∂p/∂v ⋅ ∂p/∂v|
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//
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// and
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//
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// e = n ⋅ ∂²p/∂u²
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// f = n ⋅ ∂²p/(∂u∂v)
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// g = n ⋅ ∂²p/∂v²
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//
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// For planes (see http://www.pbr-book.org/3ed-2018/Shapes/Triangle_Meshes.html) we have
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// e = f = g = 0 (since the plane has no curvature of any sort) so we get:
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//
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// ∂n/∂u = (0, 0, 0)
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// ∂n/∂v = (0, 0, 0)
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//
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// To find ∂p/∂u and ∂p/∂v, we first write p and u parametrically:
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// p(u, v) = p0 + u ∂p/∂u + v ∂p/∂v
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//
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// ( u₀ - u₂ v₀ - v₂
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// u₁ - u₂ v₁ - v₂ )
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//
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// Basis: plane norm = norm = (0, 0, 1), x vector = any orthgonal vector on the plane.
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// vec3 w_i =
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// vec3 w_i = vec3(view_mat * vec4(-light_dir, 1.0));
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// vec3 w_o = vec3(view_mat * vec4(light_dir, 1.0));
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float g = 1.0;// BeckmannDistribution_G(norm, dir, light_dir, alpha);
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return FresnelBlend_f(norm, dir, light_dir, k_d/* * max(dot(norm, -light_dir), 0.0)*/, k_s * g, alpha);
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// const float PI = 3.141592;
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// alpha = alpha * sqrt(2.0);
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// float ndotL = /*max*/(dot(norm, -light_dir)/*, 0.0*/);
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// //if (ndotL > 0.0/* && dot(s_norm, -light_dir) > 0.0*/) {
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// vec3 H = normalize(-light_dir + dir);
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// float NdotH = dot(norm, H);
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// float NdotH2 = NdotH * NdotH;
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// float NdotH2m2 = NdotH2 * alpha * alpha;
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// float k_spec = exp((NdotH2 - 1) / NdotH2m2) / (PI * NdotH2m2 * NdotH2);
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// return mix(k_s * k_spec, vec3(0.0), bvec3(ndotL <= 0.0 || NdotH == 0.0));
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// //
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// // (k_d * (L ⋅ N) + k_s * (R ⋅ V)^α)
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// // return k_d * ndotL + mix(k_s * pow(max(dot(norm, H), 0.0), alpha * 4.0), vec3(0.0), bvec3(ndotL == 0.0));
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// // }
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// // return vec3(0.0);
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}
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float rel_luminance(vec3 rgb)
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{
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// https://en.wikipedia.org/wiki/Relative_luminance
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const vec3 W = vec3(0.2126, 0.7152, 0.0722);
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return dot(rgb, W);
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}
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// From https://discourse.vvvv.org/t/infinite-ray-intersects-with-infinite-plane/10537
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// out of laziness.
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bool IntersectRayPlane(vec3 rayOrigin, vec3 rayDirection, vec3 posOnPlane, vec3 planeNormal, inout vec3 intersectionPoint)
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{
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float rDotn = dot(rayDirection, planeNormal);
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//parallel to plane or pointing away from plane?
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if (rDotn < 0.0000001 )
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return false;
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float s = dot(planeNormal, (posOnPlane - rayOrigin)) / rDotn;
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intersectionPoint = rayOrigin + s * rayDirection;
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return true;
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}
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// Compute uniform attenuation due to beam passing through a substance that fills an area below a horizontal plane
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// (e.g. in most cases, water below the water surface depth) using the simplest form of the Beer-Lambert law
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// (https://en.wikipedia.org/wiki/Beer%E2%80%93Lambert_law):
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//
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// I(z) = I₀ e^(-μz)
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//
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// We compute this value, except for the initial intensity which may be multiplied out later.
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//
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// wpos is the position of the point being hit.
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// ray_dir is the reversed direction of the ray (going "out" of the point being hit).
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// mu is the attenuation coefficient for R, G, and B wavelenghts.
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// surface_alt is the estimated altitude of the horizontal surface separating the substance from air.
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// defaultpos is the position to use in computing the distance along material at this point if there was a failure.
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//
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// Ideally, defaultpos is set so we can avoid branching on error.
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vec3 compute_attenuation(vec3 wpos, vec3 ray_dir, vec3 mu, float surface_alt, vec3 defaultpos) {
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// return vec3(1.0);
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/*if (dot(mu, mu) == 0.0) {
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return vec3(1.0);
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}*//* else {
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return vec3(0.0);
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}*/
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// return vec3(0.0);
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vec3 surface_dir = surface_alt < wpos.z ? vec3(0.0, 0.0, 1.0) : vec3(0.0, 0.0, -1.0);
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// vec3 surface_dir = faceforward(vec3(0.0, 0.0, 1.0), ray_dir, vec3(0.0, 0.0, 1.0));
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bool _intersects_surface = IntersectRayPlane(wpos, ray_dir, vec3(0.0, 0.0, surface_alt), surface_dir, defaultpos);
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float depth = length(defaultpos - wpos);
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return exp(-mu * depth);
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}
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// Same as compute_attenuation but since both point are known, set a maximum to make sure we don't exceed the length
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// from the default point.
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vec3 compute_attenuation_point(vec3 wpos, vec3 ray_dir, vec3 mu, float surface_alt, vec3 defaultpos) {
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// return vec3(1.0);
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/*if (dot(mu, mu) == 0.0) {
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return vec3(1.0);
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}*//* else {
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return vec3(0.0);
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}*/
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// return vec3(0.0);
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vec3 surface_dir = surface_alt < wpos.z ? vec3(0.0, 0.0, 1.0) : vec3(0.0, 0.0, -1.0);
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// vec3 surface_dir = faceforward(vec3(0.0, 0.0, 1.0), ray_dir, vec3(0.0, 0.0, 1.0));
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float max_length = dot(defaultpos - wpos, defaultpos - wpos);
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bool _intersects_surface = IntersectRayPlane(wpos, ray_dir, vec3(0.0, 0.0, surface_alt), surface_dir, defaultpos);
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float depth2 = min(max_length, dot(defaultpos - wpos, defaultpos - wpos));
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return exp(-mu * sqrt(depth2));
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}
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