@woosh/meep-engine/src/core/math/physics/pdf/pdf_GGX.js

Pure JavaScript game engine. Fully featured and production ready.

/**
 * Returns the PDF for a particular GGX sample after reflecting the view vector
 * about a microfacet normal (includes the Jacobian for going from half vector to lighting vector)
 *
 * N = surface normal
 * L = light direction
 * V = view direction
 * H = normalize( V + L )
 *
 * @param {number} NoH dot product of N and H
 * @param {number} HoV dot product of H and V
 * @param {number} roughness
 * @returns {number}
 */
export function pdf_GGX(NoH, HoV, roughness) {
    // convert to perceptual roughness
    const m2 = roughness * roughness;

    const X = NoH * NoH * (m2 - 1) + 1;

    const d = m2 / (Math.PI * X * X);

    const pM = d * NoH;

    return pM / (4 * HoV);
}