Babylon.js/src/Misc/HighDynamicRange/cubemapToSphericalPolynomial.ts

import { Vector3, ToLinearSpace, Color3 } from "../../Maths/math";
import { Scalar } from "../../Maths/math.scalar";
import { SphericalPolynomial, SphericalHarmonics } from "../../Maths/sphericalPolynomial";
import { BaseTexture } from "../../Materials/Textures/baseTexture";
import { Nullable } from "../../types";
import { Constants } from "../../Engines/constants";
import { CubeMapInfo } from "./panoramaToCubemap";

class FileFaceOrientation {
    public name: string;
    public worldAxisForNormal: Vector3; // the world axis corresponding to the normal to the face
    public worldAxisForFileX: Vector3; // the world axis corresponding to texture right x-axis in file
    public worldAxisForFileY: Vector3; // the world axis corresponding to texture down y-axis in file

    public constructor(name: string, worldAxisForNormal: Vector3, worldAxisForFileX: Vector3, worldAxisForFileY: Vector3) {
        this.name = name;
        this.worldAxisForNormal = worldAxisForNormal;
        this.worldAxisForFileX = worldAxisForFileX;
        this.worldAxisForFileY = worldAxisForFileY;
    }
}

/**
 * Helper class dealing with the extraction of spherical polynomial dataArray
 * from a cube map.
 */
export class CubeMapToSphericalPolynomialTools {

    private static FileFaces: FileFaceOrientation[] = [
        new FileFaceOrientation("right", new Vector3(1, 0, 0), new Vector3(0, 0, -1), new Vector3(0, -1, 0)), // +X east
        new FileFaceOrientation("left", new Vector3(-1, 0, 0), new Vector3(0, 0, 1), new Vector3(0, -1, 0)), // -X west
        new FileFaceOrientation("up", new Vector3(0, 1, 0), new Vector3(1, 0, 0), new Vector3(0, 0, 1)), // +Y north
        new FileFaceOrientation("down", new Vector3(0, -1, 0), new Vector3(1, 0, 0), new Vector3(0, 0, -1)), // -Y south
        new FileFaceOrientation("front", new Vector3(0, 0, 1), new Vector3(1, 0, 0), new Vector3(0, -1, 0)), // +Z top
        new FileFaceOrientation("back", new Vector3(0, 0, -1), new Vector3(-1, 0, 0), new Vector3(0, -1, 0))// -Z bottom
    ];

    /**
     * Converts a texture to the according Spherical Polynomial data.
     * This extracts the first 3 orders only as they are the only one used in the lighting.
     *
     * @param texture The texture to extract the information from.
     * @return The Spherical Polynomial data.
     */
    public static ConvertCubeMapTextureToSphericalPolynomial(texture: BaseTexture) {
        if (!texture.isCube) {
            // Only supports cube Textures currently.
            return null;
        }

        var size = texture.getSize().width;
        var right = texture.readPixels(0);
        var left = texture.readPixels(1);

        var up: Nullable<ArrayBufferView>;
        var down: Nullable<ArrayBufferView>;
        if (texture.isRenderTarget) {
            up = texture.readPixels(3);
            down = texture.readPixels(2);
        }
        else {
            up = texture.readPixels(2);
            down = texture.readPixels(3);
        }

        var front = texture.readPixels(4);
        var back = texture.readPixels(5);

        var gammaSpace = texture.gammaSpace;
        // Always read as RGBA.
        var format = Constants.TEXTUREFORMAT_RGBA;
        var type = Constants.TEXTURETYPE_UNSIGNED_INT;
        if (texture.textureType && texture.textureType !== Constants.TEXTURETYPE_UNSIGNED_INT) {
            type = Constants.TEXTURETYPE_FLOAT;
        }

        var cubeInfo: CubeMapInfo = {
            size,
            right,
            left,
            up,
            down,
            front,
            back,
            format,
            type,
            gammaSpace,
        };

        return this.ConvertCubeMapToSphericalPolynomial(cubeInfo);
    }

    /**
     * Converts a cubemap to the according Spherical Polynomial data.
     * This extracts the first 3 orders only as they are the only one used in the lighting.
     *
     * @param cubeInfo The Cube map to extract the information from.
     * @return The Spherical Polynomial data.
     */
    public static ConvertCubeMapToSphericalPolynomial(cubeInfo: CubeMapInfo): SphericalPolynomial {
        var sphericalHarmonics = new SphericalHarmonics();
        var totalSolidAngle = 0.0;

        // The (u,v) range is [-1,+1], so the distance between each texel is 2/Size.
        var du = 2.0 / cubeInfo.size;
        var dv = du;

        // The (u,v) of the first texel is half a texel from the corner (-1,-1).
        var minUV = du * 0.5 - 1.0;

        for (var faceIndex = 0; faceIndex < 6; faceIndex++) {
            var fileFace = this.FileFaces[faceIndex];
            var dataArray = (<any>cubeInfo)[fileFace.name];
            var v = minUV;

            // TODO: we could perform the summation directly into a SphericalPolynomial (SP), which is more efficient than SphericalHarmonic (SH).
            // This is possible because during the summation we do not need the SH-specific properties, e.g. orthogonality.
            // Because SP is still linear, so summation is fine in that basis.
            const stride = cubeInfo.format === Constants.TEXTUREFORMAT_RGBA ? 4 : 3;
            for (var y = 0; y < cubeInfo.size; y++) {
                var u = minUV;

                for (var x = 0; x < cubeInfo.size; x++) {
                    // World direction (not normalised)
                    var worldDirection =
                        fileFace.worldAxisForFileX.scale(u).add(
                            fileFace.worldAxisForFileY.scale(v)).add(
                                fileFace.worldAxisForNormal);
                    worldDirection.normalize();

                    var deltaSolidAngle = Math.pow(1.0 + u * u + v * v, -3.0 / 2.0);

                    var r = dataArray[(y * cubeInfo.size * stride) + (x * stride) + 0];
                    var g = dataArray[(y * cubeInfo.size * stride) + (x * stride) + 1];
                    var b = dataArray[(y * cubeInfo.size * stride) + (x * stride) + 2];

                    // Prevent NaN harmonics with extreme HDRI data.
                    if (isNaN(r)) { r = 0; }
                    if (isNaN(g)) { g = 0; }
                    if (isNaN(b)) { b = 0; }

                    // Handle Integer types.
                    if (cubeInfo.type === Constants.TEXTURETYPE_UNSIGNED_INT) {
                        r /= 255;
                        g /= 255;
                        b /= 255;
                    }

                    // Handle Gamma space textures.
                    if (cubeInfo.gammaSpace) {
                        r = Math.pow(Scalar.Clamp(r), ToLinearSpace);
                        g = Math.pow(Scalar.Clamp(g), ToLinearSpace);
                        b = Math.pow(Scalar.Clamp(b), ToLinearSpace);
                    }

                    // Prevent to explode in case of really high dynamic ranges.
                    // sh 3 would not be enough to accurately represent it.
                    const max = 4096;
                    r = Scalar.Clamp(r, 0, max);
                    g = Scalar.Clamp(g, 0, max);
                    b = Scalar.Clamp(b, 0, max);

                    var color = new Color3(r, g, b);

                    sphericalHarmonics.addLight(worldDirection, color, deltaSolidAngle);

                    totalSolidAngle += deltaSolidAngle;

                    u += du;
                }

                v += dv;
            }
        }

        // Solid angle for entire sphere is 4*pi
        var sphereSolidAngle = 4.0 * Math.PI;

        // Adjust the solid angle to allow for how many faces we processed.
        var facesProcessed = 6.0;
        var expectedSolidAngle = sphereSolidAngle * facesProcessed / 6.0;

        // Adjust the harmonics so that the accumulated solid angle matches the expected solid angle.
        // This is needed because the numerical integration over the cube uses a
        // small angle approximation of solid angle for each texel (see deltaSolidAngle),
        // and also to compensate for accumulative error due to float precision in the summation.
        var correctionFactor = expectedSolidAngle / totalSolidAngle;
        sphericalHarmonics.scaleInPlace(correctionFactor);

        sphericalHarmonics.convertIncidentRadianceToIrradiance();
        sphericalHarmonics.convertIrradianceToLambertianRadiance();

        return SphericalPolynomial.FromHarmonics(sphericalHarmonics);
    }
}