Added shaders for PBR IBL BRDF LUT generation

data/shaders/pbribl/genbrdflut.frag

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+#version 450
+
+layout (location = 0) in vec2 inUV;
+layout (location = 0) out vec4 outColor;
+layout (constant_id = 0) const uint NUM_SAMPLES = 1024u;
+
+const float PI = 3.1415926536;
+
+// Based omn http://byteblacksmith.com/improvements-to-the-canonical-one-liner-glsl-rand-for-opengl-es-2-0/
+float random(vec2 co)
+{
+	float a = 12.9898;
+	float b = 78.233;
+	float c = 43758.5453;
+	float dt= dot(co.xy ,vec2(a,b));
+	float sn= mod(dt,3.14);
+	return fract(sin(sn) * c);
+}
+
+vec2 hammersley2d(uint i, uint N) 
+{
+	// Radical inverse based on http://holger.dammertz.org/stuff/notes_HammersleyOnHemisphere.html
+	uint bits = (i << 16u) | (i >> 16u);
+	bits = ((bits & 0x55555555u) << 1u) | ((bits & 0xAAAAAAAAu) >> 1u);
+	bits = ((bits & 0x33333333u) << 2u) | ((bits & 0xCCCCCCCCu) >> 2u);
+	bits = ((bits & 0x0F0F0F0Fu) << 4u) | ((bits & 0xF0F0F0F0u) >> 4u);
+	bits = ((bits & 0x00FF00FFu) << 8u) | ((bits & 0xFF00FF00u) >> 8u);
+	float rdi = float(bits) * 2.3283064365386963e-10;
+	return vec2(float(i) /float(N), rdi);
+}
+
+// Based on http://blog.selfshadow.com/publications/s2013-shading-course/karis/s2013_pbs_epic_slides.pdf
+vec3 importanceSample_GGX(vec2 Xi, float roughness, vec3 normal) 
+{
+	// Maps a 2D point to a hemisphere with spread based on roughness
+	float alpha = roughness * roughness;
+	float phi = 2.0 * PI * Xi.x + random(normal.xz) * 0.1;
+	float cosTheta = sqrt((1.0 - Xi.y) / (1.0 + (alpha*alpha - 1.0) * Xi.y));
+	float sinTheta = sqrt(1.0 - cosTheta * cosTheta);
+	vec3 H = vec3(sinTheta * cos(phi), sinTheta * sin(phi), cosTheta);
+
+	// Tangent space
+	vec3 up = abs(normal.z) < 0.999 ? vec3(0.0, 0.0, 1.0) : vec3(1.0, 0.0, 0.0);
+	vec3 tangentX = normalize(cross(up, normal));
+	vec3 tangentY = normalize(cross(normal, tangentX));
+
+	// Convert to world Space
+	return normalize(tangentX * H.x + tangentY * H.y + normal * H.z);
+}
+
+// Geometric Shadowing function
+float G_SchlicksmithGGX(float dotNL, float dotNV, float roughness)
+{
+	float k = (roughness * roughness) / 2.0;
+	float GL = dotNL / (dotNL * (1.0 - k) + k);
+	float GV = dotNV / (dotNV * (1.0 - k) + k);
+	return GL * GV;
+}
+
+vec2 BRDF(float NoV, float roughness)
+{
+	// Normal always points along z-axis for the 2D lookup 
+	const vec3 N = vec3(0.0, 0.0, 1.0);
+	vec3 V = vec3(sqrt(1.0 - NoV*NoV), 0.0, NoV);
+
+	vec2 LUT = vec2(0.0);
+	for(uint i = 0u; i < NUM_SAMPLES; i++) {
+		vec2 Xi = hammersley2d(i, NUM_SAMPLES);
+		vec3 H = importanceSample_GGX(Xi, roughness, N);
+		vec3 L = 2.0 * dot(V, H) * H - V;
+
+		float dotNL = max(dot(N, L), 0.0);
+		float dotNV = max(dot(N, V), 0.0);
+		float dotVH = max(dot(V, H), 0.0); 
+		float dotNH = max(dot(H, N), 0.0);
+
+		if (dotNL > 0.0) {
+			float G = G_SchlicksmithGGX(dotNL, dotNV, roughness);
+			float G_Vis = (G * dotVH) / (dotNH * dotNV);
+			float Fc = pow(1.0 - dotVH, 5.0);
+			LUT += vec2((1.0 - Fc) * G_Vis, Fc * G_Vis);
+		}
+	}
+	return LUT / float(NUM_SAMPLES);
+}
+
+void main() 
+{
+	outColor = vec4(BRDF(inUV.s, 1.0-inUV.t), 0.0, 1.0);
+}

data/shaders/pbribl/genbrdflut.vert

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+#version 450
+
+layout (location = 0) out vec2 outUV;
+
+void main()
+{
+	outUV = vec2((gl_VertexIndex << 1) & 2, gl_VertexIndex & 2);
+	gl_Position = vec4(outUV * 2.0f - 1.0f, 0.0f, 1.0f);
+}