Sky.js

import {
	BackSide,
	BoxGeometry,
	Mesh,
	ShaderMaterial,
	UniformsUtils,
	Vector3
} from "https://unpkg.com/three@0.127.0/build/three.module.js";

/**
 * Based on "A Practical Analytic Model for Daylight"
 * aka The Precetham Model, the de facto standard analytic skydome model
 * https://www.researchgate.net/publication/220720443_A_Practical_Analytic_Model_for_Daylight
 *
 * First implemented by Simon Wallner
 * http://simonwallner.at/project/atmospheric-scattering/
 *
 * Improved by Martin Upitis
 * http://blenderartists.org/forum/showthread.php?245954-preethams-sky-impementation-HDR
 *
 * Three.js integration by zz85 http://twitter.com/blurspline
*/

class Sky extends Mesh {

	constructor() {

		const shader = Sky.SkyShader;

		const material = new ShaderMaterial( {
			name: 'SkyShader',
			fragmentShader: shader.fragmentShader,
			vertexShader: shader.vertexShader,
			uniforms: UniformsUtils.clone( shader.uniforms ),
			side: BackSide,
			depthWrite: false
		} );

		super( new BoxGeometry( 1, 1, 1 ), material );

	}

}

Sky.prototype.isSky = true;

Sky.SkyShader = {

	uniforms: {
		'turbidity': { value: 2 },
		'rayleigh': { value: 1 },
		'mieCoefficient': { value: 0.005 },
		'mieDirectionalG': { value: 0.8 },
		'sunPosition': { value: new Vector3() },
		'up': { value: new Vector3( 0, 1, 0 ) }
	},

	vertexShader: /* glsl */`
		uniform vec3 sunPosition;
		uniform float rayleigh;
		uniform float turbidity;
		uniform float mieCoefficient;
		uniform vec3 up;

		varying vec3 vWorldPosition;
		varying vec3 vSunDirection;
		varying float vSunfade;
		varying vec3 vBetaR;
		varying vec3 vBetaM;
		varying float vSunE;

		// constants for atmospheric scattering
		const float e = 2.71828182845904523536028747135266249775724709369995957;
		const float pi = 3.141592653589793238462643383279502884197169;

		// wavelength of used primaries, according to preetham
		const vec3 lambda = vec3( 680E-9, 550E-9, 450E-9 );
		// this pre-calcuation replaces older TotalRayleigh(vec3 lambda) function:
		// (8.0 * pow(pi, 3.0) * pow(pow(n, 2.0) - 1.0, 2.0) * (6.0 + 3.0 * pn)) / (3.0 * N * pow(lambda, vec3(4.0)) * (6.0 - 7.0 * pn))
		const vec3 totalRayleigh = vec3( 5.804542996261093E-6, 1.3562911419845635E-5, 3.0265902468824876E-5 );

		// mie stuff
		// K coefficient for the primaries
		const float v = 4.0;
		const vec3 K = vec3( 0.686, 0.678, 0.666 );
		// MieConst = pi * pow( ( 2.0 * pi ) / lambda, vec3( v - 2.0 ) ) * K
		const vec3 MieConst = vec3( 1.8399918514433978E14, 2.7798023919660528E14, 4.0790479543861094E14 );

		// earth shadow hack
		// cutoffAngle = pi / 1.95;
		const float cutoffAngle = 1.6110731556870734;
		const float steepness = 1.5;
		const float EE = 1000.0;

		float sunIntensity( float zenithAngleCos ) {
			zenithAngleCos = clamp( zenithAngleCos, -1.0, 1.0 );
			return EE * max( 0.0, 1.0 - pow( e, -( ( cutoffAngle - acos( zenithAngleCos ) ) / steepness ) ) );
		}

		vec3 totalMie( float T ) {
			float c = ( 0.2 * T ) * 10E-18;
			return 0.434 * c * MieConst;
		}

		void main() {

			vec4 worldPosition = modelMatrix * vec4( position, 1.0 );
			vWorldPosition = worldPosition.xyz;

			gl_Position = projectionMatrix * modelViewMatrix * vec4( position, 1.0 );
			gl_Position.z = gl_Position.w; // set z to camera.far

			vSunDirection = normalize( sunPosition );

			vSunE = sunIntensity( dot( vSunDirection, up ) );

			vSunfade = 1.0 - clamp( 1.0 - exp( ( sunPosition.y / 450000.0 ) ), 0.0, 1.0 );

			float rayleighCoefficient = rayleigh - ( 1.0 * ( 1.0 - vSunfade ) );

			// extinction (absorbtion + out scattering)
			// rayleigh coefficients
			vBetaR = totalRayleigh * rayleighCoefficient;

			// mie coefficients
			vBetaM = totalMie( turbidity ) * mieCoefficient;

		}`,

	fragmentShader: /* glsl */`
		varying vec3 vWorldPosition;
		varying vec3 vSunDirection;
		varying float vSunfade;
		varying vec3 vBetaR;
		varying vec3 vBetaM;
		varying float vSunE;

		uniform float mieDirectionalG;
		uniform vec3 up;

		const vec3 cameraPos = vec3( 0.0, 0.0, 0.0 );

		// constants for atmospheric scattering
		const float pi = 3.141592653589793238462643383279502884197169;

		const float n = 1.0003; // refractive index of air
		const float N = 2.545E25; // number of molecules per unit volume for air at 288.15K and 1013mb (sea level -45 celsius)

		// optical length at zenith for molecules
		const float rayleighZenithLength = 8.4E3;
		const float mieZenithLength = 1.25E3;
		// 66 arc seconds -> degrees, and the cosine of that
		const float sunAngularDiameterCos = 0.999956676946448443553574619906976478926848692873900859324;

		// 3.0 / ( 16.0 * pi )
		const float THREE_OVER_SIXTEENPI = 0.05968310365946075;
		// 1.0 / ( 4.0 * pi )
		const float ONE_OVER_FOURPI = 0.07957747154594767;

		float rayleighPhase( float cosTheta ) {
			return THREE_OVER_SIXTEENPI * ( 1.0 + pow( cosTheta, 2.0 ) );
		}

		float hgPhase( float cosTheta, float g ) {
			float g2 = pow( g, 2.0 );
			float inverse = 1.0 / pow( 1.0 - 2.0 * g * cosTheta + g2, 1.5 );
			return ONE_OVER_FOURPI * ( ( 1.0 - g2 ) * inverse );
		}

		void main() {

			vec3 direction = normalize( vWorldPosition - cameraPos );

			// optical length
			// cutoff angle at 90 to avoid singularity in next formula.
			float zenithAngle = acos( max( 0.0, dot( up, direction ) ) );
			float inverse = 1.0 / ( cos( zenithAngle ) + 0.15 * pow( 93.885 - ( ( zenithAngle * 180.0 ) / pi ), -1.253 ) );
			float sR = rayleighZenithLength * inverse;
			float sM = mieZenithLength * inverse;

			// combined extinction factor
			vec3 Fex = exp( -( vBetaR * sR + vBetaM * sM ) );

			// in scattering
			float cosTheta = dot( direction, vSunDirection );

			float rPhase = rayleighPhase( cosTheta * 0.5 + 0.5 );
			vec3 betaRTheta = vBetaR * rPhase;

			float mPhase = hgPhase( cosTheta, mieDirectionalG );
			vec3 betaMTheta = vBetaM * mPhase;

			vec3 Lin = pow( vSunE * ( ( betaRTheta + betaMTheta ) / ( vBetaR + vBetaM ) ) * ( 1.0 - Fex ), vec3( 1.5 ) );
			Lin *= mix( vec3( 1.0 ), pow( vSunE * ( ( betaRTheta + betaMTheta ) / ( vBetaR + vBetaM ) ) * Fex, vec3( 1.0 / 2.0 ) ), clamp( pow( 1.0 - dot( up, vSunDirection ), 5.0 ), 0.0, 1.0 ) );

			// nightsky
			float theta = acos( direction.y ); // elevation --> y-axis, [-pi/2, pi/2]
			float phi = atan( direction.z, direction.x ); // azimuth --> x-axis [-pi/2, pi/2]
			vec2 uv = vec2( phi, theta ) / vec2( 2.0 * pi, pi ) + vec2( 0.5, 0.0 );
			vec3 L0 = vec3( 0.1 ) * Fex;

			// composition + solar disc
			float sundisk = smoothstep( sunAngularDiameterCos, sunAngularDiameterCos + 0.00002, cosTheta );
			L0 += ( vSunE * 19000.0 * Fex ) * sundisk;

			vec3 texColor = ( Lin + L0 ) * 0.04 + vec3( 0.0, 0.0003, 0.00075 );

			vec3 retColor = pow( texColor, vec3( 1.0 / ( 1.2 + ( 1.2 * vSunfade ) ) ) );

			gl_FragColor = vec4( retColor, 1.0 );

			#include <tonemapping_fragment>
			#include <encodings_fragment>

		}`

};

export { Sky };