#version 300 es
precision highp float;
// From the Filament design doc
// https://google.github.io/filament/Filament.html#table_symbols
// Symbol Definition
// v View unit vector
// l Incident light unit vector
// n Surface normal unit vector
// h Half unit vector between l and v
// f BRDF
// f_d Diffuse component of a BRDF
// f_r Specular component of a BRDF
// α Roughness, remapped from using input perceptualRoughness
// σ Diffuse reflectance
// Ω Spherical domain
// f0 Reflectance at normal incidence
// f90 Reflectance at grazing angle
// χ+(a) Heaviside function (1 if a>0 and 0 otherwise)
// nior Index of refraction (IOR) of an interface
// ⟨n⋅l⟩ Dot product clamped to [0..1]
// ⟨a⟩ Saturated value (clamped to [0..1])
// The Bidirectional Reflectance Distribution Function (BRDF) describes the surface response of a standard material
// and consists of two components, the diffuse component (f_d) and the specular component (f_r):
// f(v,l) = f_d(v,l) + f_r(v,l)
//
// The form of the microfacet model is the same for diffuse and specular
// f_r(v,l) = f_d(v,l) = 1 / { |n⋅v||n⋅l| } ∫_Ω D(m,α) G(v,l,m) f_m(v,l,m) (v⋅m) (l⋅m) dm
//
// In which:
// D, also called the Normal Distribution Function (NDF) models the distribution of the microfacets
// G models the visibility (or occlusion or shadow-masking) of the microfacets
// f_m is the microfacet BRDF and differs between specular and diffuse components
//
// The above integration needs to be approximated.
const int MAX_LIGHTS = 10;
struct Light {
mat4 proj;
vec4 pos;
vec4 color;
};
in vec3 v_WorldPosition;
in vec3 v_WorldNormal;
in vec2 v_Uv;
#ifdef STANDARDMATERIAL_NORMAL_MAP
in vec4 v_WorldTangent;
#endif
out vec4 o_Target;
layout(std140) uniform CameraViewProj {
mat4 ViewProj;
};
layout(std140) uniform CameraPosition { // set = 0, binding = 1
vec4 CameraPos;
};
layout(std140) uniform Lights { // set = 1, binding = 0
vec4 AmbientColor;
uvec4 NumLights;
Light SceneLights[MAX_LIGHTS];
};
layout(std140) uniform StandardMaterial_base_color { // set = 3, binding = 0
vec4 base_color;
};
#ifdef STANDARDMATERIAL_BASE_COLOR_TEXTURE
uniform sampler2D StandardMaterial_base_color_texture; // set = 3, binding = 1
#endif
#ifndef STANDARDMATERIAL_UNLIT
layout(std140) uniform StandardMaterial_roughness { // set = 3, binding = 3
float perceptual_roughness;
};
layout(std140) uniform StandardMaterial_metallic { // set = 3, binding = 4
float metallic;
};
# ifdef STANDARDMATERIAL_METALLIC_ROUGHNESS_TEXTURE
uniform sampler2D StandardMaterial_metallic_roughness_texture; // set = 3, binding = 5
# endif
layout(std140) uniform StandardMaterial_reflectance { // set = 3, binding = 7
float reflectance;
};
# ifdef STANDARDMATERIAL_NORMAL_MAP
uniform sampler2D StandardMaterial_normal_map;
# endif
# if defined(STANDARDMATERIAL_OCCLUSION_TEXTURE)
uniform sampler2D StandardMaterial_occlusion_texture;
# endif
layout(std140) uniform StandardMaterial_emissive { // set = 3, binding = 12
vec4 emissive;
};
# if defined(STANDARDMATERIAL_EMISSIVE_TEXTURE)
layout(set = 3, binding = 13) uniform texture2D StandardMaterial_emissive_texture;
layout(set = 3,
binding = 14) uniform sampler StandardMaterial_emissive_texture_sampler;
# endif
# define saturate(x) clamp(x, 0.0, 1.0)
const float PI = 3.141592653589793;
float pow5(float x) {
float x2 = x * x;
return x2 * x2 * x;
}
// distanceAttenuation is simply the square falloff of light intensity
// combined with a smooth attenuation at the edge of the light radius
//
// light radius is a non-physical construct for efficiency purposes,
// because otherwise every light affects every fragment in the scene
float getDistanceAttenuation(const vec3 posToLight, float inverseRadiusSquared) {
float distanceSquare = dot(posToLight, posToLight);
float factor = distanceSquare * inverseRadiusSquared;
float smoothFactor = saturate(1.0 - factor * factor);
float attenuation = smoothFactor * smoothFactor;
return attenuation * 1.0 / max(distanceSquare, 1e-4);
}
// Normal distribution function (specular D)
// Based on https://google.github.io/filament/Filament.html#citation-walter07
// D_GGX(h,α) = α^2 / { π ((n⋅h)^2 (α2−1) + 1)^2 }
// Simple implementation, has precision problems when using fp16 instead of fp32
// see https://google.github.io/filament/Filament.html#listing_speculardfp16
float D_GGX(float roughness, float NoH, const vec3 h) {
float oneMinusNoHSquared = 1.0 - NoH * NoH;
float a = NoH * roughness;
float k = roughness / (oneMinusNoHSquared + a * a);
float d = k * k * (1.0 / PI);
return d;
}
// Visibility function (Specular G)
// V(v,l,a) = G(v,l,α) / { 4 (n⋅v) (n⋅l) }
// such that f_r becomes
// f_r(v,l) = D(h,α) V(v,l,α) F(v,h,f0)
// where
// V(v,l,α) = 0.5 / { n⋅l sqrt((n⋅v)^2 (1−α2) + α2) + n⋅v sqrt((n⋅l)^2 (1−α2) + α2) }
// Note the two sqrt's, that may be slow on mobile, see https://google.github.io/filament/Filament.html#listing_approximatedspecularv
float V_SmithGGXCorrelated(float roughness, float NoV, float NoL) {
float a2 = roughness * roughness;
float lambdaV = NoL * sqrt((NoV - a2 * NoV) * NoV + a2);
float lambdaL = NoV * sqrt((NoL - a2 * NoL) * NoL + a2);
float v = 0.5 / (lambdaV + lambdaL);
return v;
}
// Fresnel function
// see https://google.github.io/filament/Filament.html#citation-schlick94
// F_Schlick(v,h,f_0,f_90) = f_0 + (f_90 − f_0) (1 − v⋅h)^5
vec3 F_Schlick(const vec3 f0, float f90, float VoH) {
// not using mix to keep the vec3 and float versions identical
return f0 + (f90 - f0) * pow5(1.0 - VoH);
}
float F_Schlick(float f0, float f90, float VoH) {
// not using mix to keep the vec3 and float versions identical
return f0 + (f90 - f0) * pow5(1.0 - VoH);
}
vec3 fresnel(vec3 f0, float LoH) {
// f_90 suitable for ambient occlusion
// see https://google.github.io/filament/Filament.html#lighting/occlusion
float f90 = saturate(dot(f0, vec3(50.0 * 0.33)));
return F_Schlick(f0, f90, LoH);
}
// Specular BRDF
// https://google.github.io/filament/Filament.html#materialsystem/specularbrdf
// Cook-Torrance approximation of the microfacet model integration using Fresnel law F to model f_m
// f_r(v,l) = { D(h,α) G(v,l,α) F(v,h,f0) } / { 4 (n⋅v) (n⋅l) }
vec3 specular(vec3 f0, float roughness, const vec3 h, float NoV, float NoL,
float NoH, float LoH) {
float D = D_GGX(roughness, NoH, h);
float V = V_SmithGGXCorrelated(roughness, NoV, NoL);
vec3 F = fresnel(f0, LoH);
return (D * V) * F;
}
// Diffuse BRDF
// https://google.github.io/filament/Filament.html#materialsystem/diffusebrdf
// fd(v,l) = σ/π * 1 / { |n⋅v||n⋅l| } ∫Ω D(m,α) G(v,l,m) (v⋅m) (l⋅m) dm
// simplest approximation
// float Fd_Lambert() {
// return 1.0 / PI;
// }
//
// vec3 Fd = diffuseColor * Fd_Lambert();
// Disney approximation
// See https://google.github.io/filament/Filament.html#citation-burley12
// minimal quality difference
float Fd_Burley(float roughness, float NoV, float NoL, float LoH) {
float f90 = 0.5 + 2.0 * roughness * LoH * LoH;
float lightScatter = F_Schlick(1.0, f90, NoL);
float viewScatter = F_Schlick(1.0, f90, NoV);
return lightScatter * viewScatter * (1.0 / PI);
}
// From https://www.unrealengine.com/en-US/blog/physically-based-shading-on-mobile
vec3 EnvBRDFApprox(vec3 f0, float perceptual_roughness, float NoV) {
const vec4 c0 = vec4(-1.0, -0.0275, -0.572, 0.022);
const vec4 c1 = vec4(1.0, 0.0425, 1.04, -0.04);
vec4 r = perceptual_roughness * c0 + c1;
float a004 = min(r.x * r.x, exp2(-9.28 * NoV)) * r.x + r.y;
vec2 AB = vec2(-1.04, 1.04) * a004 + r.zw;
return f0 * AB.x + AB.y;
}
float perceptualRoughnessToRoughness(float perceptualRoughness) {
// clamp perceptual roughness to prevent precision problems
// According to Filament design 0.089 is recommended for mobile
// Filament uses 0.045 for non-mobile
float clampedPerceptualRoughness = clamp(perceptualRoughness, 0.089, 1.0);
return clampedPerceptualRoughness * clampedPerceptualRoughness;
}
// from https://64.github.io/tonemapping/
// reinhard on RGB oversaturates colors
vec3 reinhard(vec3 color) {
return color / (1.0 + color);
}
vec3 reinhard_extended(vec3 color, float max_white) {
vec3 numerator = color * (1.0f + (color / vec3(max_white * max_white)));
return numerator / (1.0 + color);
}
// luminance coefficients from Rec. 709.
// https://en.wikipedia.org/wiki/Rec._709
float luminance(vec3 v) {
return dot(v, vec3(0.2126, 0.7152, 0.0722));
}
vec3 change_luminance(vec3 c_in, float l_out) {
float l_in = luminance(c_in);
return c_in * (l_out / l_in);
}
vec3 reinhard_luminance(vec3 color) {
float l_old = luminance(color);
float l_new = l_old / (1.0f + l_old);
return change_luminance(color, l_new);
}
vec3 reinhard_extended_luminance(vec3 color, float max_white_l) {
float l_old = luminance(color);
float numerator = l_old * (1.0f + (l_old / (max_white_l * max_white_l)));
float l_new = numerator / (1.0f + l_old);
return change_luminance(color, l_new);
}
#endif
vec4 encodeSRGB(vec4 linearRGB_in)
{
vec3 linearRGB = linearRGB_in.rgb;
vec3 a = 12.92 * linearRGB;
vec3 b = 1.055 * pow(linearRGB, vec3(1.0 / 2.4)) - 0.055;
vec3 c = step(vec3(0.0031308), linearRGB);
return vec4(mix(a, b, c), linearRGB_in.a);
}
void main() {
vec4 output_color = base_color;
#ifdef STANDARDMATERIAL_BASE_COLOR_TEXTURE
output_color *= texture(StandardMaterial_base_color_texture, v_Uv);
#endif
#ifndef STANDARDMATERIAL_UNLIT
// calculate non-linear roughness from linear perceptualRoughness
# ifdef STANDARDMATERIAL_METALLIC_ROUGHNESS_TEXTURE
vec4 metallic_roughness = texture(StandardMaterial_metallic_roughness_texture, v_Uv);
// Sampling from GLTF standard channels for now
float metallic = metallic * metallic_roughness.b;
float perceptual_roughness = perceptual_roughness * metallic_roughness.g;
# endif
float roughness = perceptualRoughnessToRoughness(perceptual_roughness);
vec3 N = normalize(v_WorldNormal);
# ifdef STANDARDMATERIAL_NORMAL_MAP
vec3 T = normalize(v_WorldTangent.xyz);
vec3 B = cross(N, T) * v_WorldTangent.w;
# endif
# ifdef STANDARDMATERIAL_DOUBLE_SIDED
N = gl_FrontFacing ? N : -N;
# ifdef STANDARDMATERIAL_NORMAL_MAP
T = gl_FrontFacing ? T : -T;
B = gl_FrontFacing ? B : -B;
# endif
# endif
# ifdef STANDARDMATERIAL_NORMAL_MAP
mat3 TBN = mat3(T, B, N);
N = TBN * normalize(texture(StandardMaterial_normal_map, v_Uv).rgb * 2.0 - 1.0);
# endif
# ifdef STANDARDMATERIAL_OCCLUSION_TEXTURE
float occlusion = texture(StandardMaterial_occlusion_texture, v_Uv).r;
# else
float occlusion = 1.0;
# endif
# ifdef STANDARDMATERIAL_EMISSIVE_TEXTURE
// TODO use .a for exposure compensation in HDR
emissive.rgb *= texture(StandardMaterial_emissive_texture, v_Uv).rgb;
# endif
vec3 V = normalize(CameraPos.xyz - v_WorldPosition.xyz);
// Neubelt and Pettineo 2013, "Crafting a Next-gen Material Pipeline for The Order: 1886"
float NdotV = max(dot(N, V), 1e-4);
// Remapping [0,1] reflectance to F0
// See https://google.github.io/filament/Filament.html#materialsystem/parameterization/remapping
vec3 F0 = 0.16 * reflectance * reflectance * (1.0 - metallic) + output_color.rgb * metallic;
// Diffuse strength inversely related to metallicity
vec3 diffuseColor = output_color.rgb * (1.0 - metallic);
// accumulate color
vec3 light_accum = vec3(0.0);
for (int i = 0; i < int(NumLights.x) && i < MAX_LIGHTS; ++i) {
Light light = SceneLights[i];
vec3 lightDir = light.pos.xyz - v_WorldPosition.xyz;
vec3 L = normalize(lightDir);
float rangeAttenuation =
getDistanceAttenuation(lightDir, light.pos.w);
vec3 H = normalize(L + V);
float NoL = saturate(dot(N, L));
float NoH = saturate(dot(N, H));
float LoH = saturate(dot(L, H));
vec3 specular = specular(F0, roughness, H, NdotV, NoL, NoH, LoH);
vec3 diffuse = diffuseColor * Fd_Burley(roughness, NdotV, NoL, LoH);
// Lout = f(v,l) Φ / { 4 π d^2 }⟨n⋅l⟩
// where
// f(v,l) = (f_d(v,l) + f_r(v,l)) * light_color
// Φ is light intensity
// our rangeAttentuation = 1 / d^2 multiplied with an attenuation factor for smoothing at the edge of the non-physical maximum light radius
// It's not 100% clear where the 1/4π goes in the derivation, but we follow the filament shader and leave it out
// See https://google.github.io/filament/Filament.html#mjx-eqn-pointLightLuminanceEquation
// TODO compensate for energy loss https://google.github.io/filament/Filament.html#materialsystem/improvingthebrdfs/energylossinspecularreflectance
// light.color.rgb is premultiplied with light.intensity on the CPU
light_accum +=
((diffuse + specular) * light.color.rgb) * (rangeAttenuation * NoL);
}
vec3 diffuse_ambient = EnvBRDFApprox(diffuseColor, 1.0, NdotV);
vec3 specular_ambient = EnvBRDFApprox(F0, perceptual_roughness, NdotV);
output_color.rgb = light_accum;
output_color.rgb += (diffuse_ambient + specular_ambient) * AmbientColor.xyz * occlusion;
output_color.rgb += emissive.rgb * output_color.a;
// tone_mapping
output_color.rgb = reinhard_luminance(output_color.rgb);
// Gamma correction.
// Not needed with sRGB buffer
// output_color.rgb = pow(output_color.rgb, vec3(1.0 / 2.2));
#endif
o_Target = encodeSRGB(output_color);
}