three
Version:
JavaScript 3D library
376 lines (303 loc) • 12 kB
JavaScript
import {
Vector2
} from "../../../build/three.module.js";
// Description: A deep water ocean shader set
// based on an implementation of a Tessendorf Waves
// originally presented by David Li ( www.david.li/waves )
// The general method is to apply shaders to simulation Framebuffers
// and then sample these framebuffers when rendering the ocean mesh
// The set uses 7 shaders:
// -- Simulation shaders
// [1] ocean_sim_vertex -> Vertex shader used to set up a 2x2 simulation plane centered at (0,0)
// [2] ocean_subtransform -> Fragment shader used to subtransform the mesh (generates the displacement map)
// [3] ocean_initial_spectrum -> Fragment shader used to set intitial wave frequency at a texel coordinate
// [4] ocean_phase -> Fragment shader used to set wave phase at a texel coordinate
// [5] ocean_spectrum -> Fragment shader used to set current wave frequency at a texel coordinate
// [6] ocean_normal -> Fragment shader used to set face normals at a texel coordinate
// -- Rendering Shader
// [7] ocean_main -> Vertex and Fragment shader used to create the final render
var OceanShaders = {};
OceanShaders[ "ocean_sim_vertex" ] = {
vertexShader: [
"varying vec2 vUV;",
"void main (void) {",
" vUV = position.xy * 0.5 + 0.5;",
" gl_Position = vec4(position, 1.0 );",
"}"
].join( "\n" )
};
OceanShaders[ "ocean_subtransform" ] = {
uniforms: {
"u_input": { value: null },
"u_transformSize": { value: 512.0 },
"u_subtransformSize": { value: 250.0 }
},
fragmentShader: [
//GPU FFT using a Stockham formulation
"precision highp float;",
"#include <common>",
"uniform sampler2D u_input;",
"uniform float u_transformSize;",
"uniform float u_subtransformSize;",
"varying vec2 vUV;",
"vec2 multiplyComplex (vec2 a, vec2 b) {",
" return vec2(a[0] * b[0] - a[1] * b[1], a[1] * b[0] + a[0] * b[1]);",
"}",
"void main (void) {",
" #ifdef HORIZONTAL",
" float index = vUV.x * u_transformSize - 0.5;",
" #else",
" float index = vUV.y * u_transformSize - 0.5;",
" #endif",
" float evenIndex = floor(index / u_subtransformSize) * (u_subtransformSize * 0.5) + mod(index, u_subtransformSize * 0.5);",
//transform two complex sequences simultaneously
" #ifdef HORIZONTAL",
" vec4 even = texture2D(u_input, vec2(evenIndex + 0.5, gl_FragCoord.y) / u_transformSize).rgba;",
" vec4 odd = texture2D(u_input, vec2(evenIndex + u_transformSize * 0.5 + 0.5, gl_FragCoord.y) / u_transformSize).rgba;",
" #else",
" vec4 even = texture2D(u_input, vec2(gl_FragCoord.x, evenIndex + 0.5) / u_transformSize).rgba;",
" vec4 odd = texture2D(u_input, vec2(gl_FragCoord.x, evenIndex + u_transformSize * 0.5 + 0.5) / u_transformSize).rgba;",
" #endif",
" float twiddleArgument = -2.0 * PI * (index / u_subtransformSize);",
" vec2 twiddle = vec2(cos(twiddleArgument), sin(twiddleArgument));",
" vec2 outputA = even.xy + multiplyComplex(twiddle, odd.xy);",
" vec2 outputB = even.zw + multiplyComplex(twiddle, odd.zw);",
" gl_FragColor = vec4(outputA, outputB);",
"}"
].join( "\n" )
};
OceanShaders[ "ocean_initial_spectrum" ] = {
uniforms: {
"u_wind": { value: new Vector2( 10.0, 10.0 ) },
"u_resolution": { value: 512.0 },
"u_size": { value: 250.0 }
},
vertexShader: [
"void main (void) {",
" gl_Position = vec4(position, 1.0);",
"}"
].join( "\n" ),
fragmentShader: [
"precision highp float;",
"#include <common>",
"const float G = 9.81;",
"const float KM = 370.0;",
"const float CM = 0.23;",
"uniform vec2 u_wind;",
"uniform float u_resolution;",
"uniform float u_size;",
"float omega (float k) {",
" return sqrt(G * k * (1.0 + pow2(k / KM)));",
"}",
"#if __VERSION__ == 100",
"float tanh (float x) {",
" return (1.0 - exp(-2.0 * x)) / (1.0 + exp(-2.0 * x));",
"}",
"#endif",
"void main (void) {",
" vec2 coordinates = gl_FragCoord.xy - 0.5;",
" float n = (coordinates.x < u_resolution * 0.5) ? coordinates.x : coordinates.x - u_resolution;",
" float m = (coordinates.y < u_resolution * 0.5) ? coordinates.y : coordinates.y - u_resolution;",
" vec2 K = (2.0 * PI * vec2(n, m)) / u_size;",
" float k = length(K);",
" float l_wind = length(u_wind);",
" float Omega = 0.84;",
" float kp = G * pow2(Omega / l_wind);",
" float c = omega(k) / k;",
" float cp = omega(kp) / kp;",
" float Lpm = exp(-1.25 * pow2(kp / k));",
" float gamma = 1.7;",
" float sigma = 0.08 * (1.0 + 4.0 * pow(Omega, -3.0));",
" float Gamma = exp(-pow2(sqrt(k / kp) - 1.0) / 2.0 * pow2(sigma));",
" float Jp = pow(gamma, Gamma);",
" float Fp = Lpm * Jp * exp(-Omega / sqrt(10.0) * (sqrt(k / kp) - 1.0));",
" float alphap = 0.006 * sqrt(Omega);",
" float Bl = 0.5 * alphap * cp / c * Fp;",
" float z0 = 0.000037 * pow2(l_wind) / G * pow(l_wind / cp, 0.9);",
" float uStar = 0.41 * l_wind / log(10.0 / z0);",
" float alpham = 0.01 * ((uStar < CM) ? (1.0 + log(uStar / CM)) : (1.0 + 3.0 * log(uStar / CM)));",
" float Fm = exp(-0.25 * pow2(k / KM - 1.0));",
" float Bh = 0.5 * alpham * CM / c * Fm * Lpm;",
" float a0 = log(2.0) / 4.0;",
" float am = 0.13 * uStar / CM;",
" float Delta = tanh(a0 + 4.0 * pow(c / cp, 2.5) + am * pow(CM / c, 2.5));",
" float cosPhi = dot(normalize(u_wind), normalize(K));",
" float S = (1.0 / (2.0 * PI)) * pow(k, -4.0) * (Bl + Bh) * (1.0 + Delta * (2.0 * cosPhi * cosPhi - 1.0));",
" float dk = 2.0 * PI / u_size;",
" float h = sqrt(S / 2.0) * dk;",
" if (K.x == 0.0 && K.y == 0.0) {",
" h = 0.0;", //no DC term
" }",
" gl_FragColor = vec4(h, 0.0, 0.0, 0.0);",
"}"
].join( "\n" )
};
OceanShaders[ "ocean_phase" ] = {
uniforms: {
"u_phases": { value: null },
"u_deltaTime": { value: null },
"u_resolution": { value: null },
"u_size": { value: null }
},
fragmentShader: [
"precision highp float;",
"#include <common>",
"const float G = 9.81;",
"const float KM = 370.0;",
"varying vec2 vUV;",
"uniform sampler2D u_phases;",
"uniform float u_deltaTime;",
"uniform float u_resolution;",
"uniform float u_size;",
"float omega (float k) {",
" return sqrt(G * k * (1.0 + k * k / KM * KM));",
"}",
"void main (void) {",
" float deltaTime = 1.0 / 60.0;",
" vec2 coordinates = gl_FragCoord.xy - 0.5;",
" float n = (coordinates.x < u_resolution * 0.5) ? coordinates.x : coordinates.x - u_resolution;",
" float m = (coordinates.y < u_resolution * 0.5) ? coordinates.y : coordinates.y - u_resolution;",
" vec2 waveVector = (2.0 * PI * vec2(n, m)) / u_size;",
" float phase = texture2D(u_phases, vUV).r;",
" float deltaPhase = omega(length(waveVector)) * u_deltaTime;",
" phase = mod(phase + deltaPhase, 2.0 * PI);",
" gl_FragColor = vec4(phase, 0.0, 0.0, 0.0);",
"}"
].join( "\n" )
};
OceanShaders[ "ocean_spectrum" ] = {
uniforms: {
"u_size": { value: null },
"u_resolution": { value: null },
"u_choppiness": { value: null },
"u_phases": { value: null },
"u_initialSpectrum": { value: null }
},
fragmentShader: [
"precision highp float;",
"#include <common>",
"const float G = 9.81;",
"const float KM = 370.0;",
"varying vec2 vUV;",
"uniform float u_size;",
"uniform float u_resolution;",
"uniform float u_choppiness;",
"uniform sampler2D u_phases;",
"uniform sampler2D u_initialSpectrum;",
"vec2 multiplyComplex (vec2 a, vec2 b) {",
" return vec2(a[0] * b[0] - a[1] * b[1], a[1] * b[0] + a[0] * b[1]);",
"}",
"vec2 multiplyByI (vec2 z) {",
" return vec2(-z[1], z[0]);",
"}",
"float omega (float k) {",
" return sqrt(G * k * (1.0 + k * k / KM * KM));",
"}",
"void main (void) {",
" vec2 coordinates = gl_FragCoord.xy - 0.5;",
" float n = (coordinates.x < u_resolution * 0.5) ? coordinates.x : coordinates.x - u_resolution;",
" float m = (coordinates.y < u_resolution * 0.5) ? coordinates.y : coordinates.y - u_resolution;",
" vec2 waveVector = (2.0 * PI * vec2(n, m)) / u_size;",
" float phase = texture2D(u_phases, vUV).r;",
" vec2 phaseVector = vec2(cos(phase), sin(phase));",
" vec2 h0 = texture2D(u_initialSpectrum, vUV).rg;",
" vec2 h0Star = texture2D(u_initialSpectrum, vec2(1.0 - vUV + 1.0 / u_resolution)).rg;",
" h0Star.y *= -1.0;",
" vec2 h = multiplyComplex(h0, phaseVector) + multiplyComplex(h0Star, vec2(phaseVector.x, -phaseVector.y));",
" vec2 hX = -multiplyByI(h * (waveVector.x / length(waveVector))) * u_choppiness;",
" vec2 hZ = -multiplyByI(h * (waveVector.y / length(waveVector))) * u_choppiness;",
//no DC term
" if (waveVector.x == 0.0 && waveVector.y == 0.0) {",
" h = vec2(0.0);",
" hX = vec2(0.0);",
" hZ = vec2(0.0);",
" }",
" gl_FragColor = vec4(hX + multiplyByI(h), hZ);",
"}"
].join( "\n" )
};
OceanShaders[ "ocean_normals" ] = {
uniforms: {
"u_displacementMap": { value: null },
"u_resolution": { value: null },
"u_size": { value: null }
},
fragmentShader: [
"precision highp float;",
"varying vec2 vUV;",
"uniform sampler2D u_displacementMap;",
"uniform float u_resolution;",
"uniform float u_size;",
"void main (void) {",
" float texel = 1.0 / u_resolution;",
" float texelSize = u_size / u_resolution;",
" vec3 center = texture2D(u_displacementMap, vUV).rgb;",
" vec3 right = vec3(texelSize, 0.0, 0.0) + texture2D(u_displacementMap, vUV + vec2(texel, 0.0)).rgb - center;",
" vec3 left = vec3(-texelSize, 0.0, 0.0) + texture2D(u_displacementMap, vUV + vec2(-texel, 0.0)).rgb - center;",
" vec3 top = vec3(0.0, 0.0, -texelSize) + texture2D(u_displacementMap, vUV + vec2(0.0, -texel)).rgb - center;",
" vec3 bottom = vec3(0.0, 0.0, texelSize) + texture2D(u_displacementMap, vUV + vec2(0.0, texel)).rgb - center;",
" vec3 topRight = cross(right, top);",
" vec3 topLeft = cross(top, left);",
" vec3 bottomLeft = cross(left, bottom);",
" vec3 bottomRight = cross(bottom, right);",
" gl_FragColor = vec4(normalize(topRight + topLeft + bottomLeft + bottomRight), 1.0);",
"}"
].join( "\n" )
};
OceanShaders[ "ocean_main" ] = {
uniforms: {
"u_displacementMap": { value: null },
"u_normalMap": { value: null },
"u_geometrySize": { value: null },
"u_size": { value: null },
"u_projectionMatrix": { value: null },
"u_viewMatrix": { value: null },
"u_cameraPosition": { value: null },
"u_skyColor": { value: null },
"u_oceanColor": { value: null },
"u_sunDirection": { value: null },
"u_exposure": { value: null }
},
vertexShader: [
"precision highp float;",
"varying vec3 vPos;",
"varying vec2 vUV;",
"uniform mat4 u_projectionMatrix;",
"uniform mat4 u_viewMatrix;",
"uniform float u_size;",
"uniform float u_geometrySize;",
"uniform sampler2D u_displacementMap;",
"void main (void) {",
" vec3 newPos = position + texture2D(u_displacementMap, uv).rgb * (u_geometrySize / u_size);",
" vPos = newPos;",
" vUV = uv;",
" gl_Position = u_projectionMatrix * u_viewMatrix * vec4(newPos, 1.0);",
"}"
].join( "\n" ),
fragmentShader: [
"precision highp float;",
"varying vec3 vPos;",
"varying vec2 vUV;",
"uniform sampler2D u_displacementMap;",
"uniform sampler2D u_normalMap;",
"uniform vec3 u_cameraPosition;",
"uniform vec3 u_oceanColor;",
"uniform vec3 u_skyColor;",
"uniform vec3 u_sunDirection;",
"uniform float u_exposure;",
"vec3 hdr (vec3 color, float exposure) {",
" return 1.0 - exp(-color * exposure);",
"}",
"void main (void) {",
" vec3 normal = texture2D(u_normalMap, vUV).rgb;",
" vec3 view = normalize(u_cameraPosition - vPos);",
" float fresnel = 0.02 + 0.98 * pow(1.0 - dot(normal, view), 5.0);",
" vec3 sky = fresnel * u_skyColor;",
" float diffuse = clamp(dot(normal, normalize(u_sunDirection)), 0.0, 1.0);",
" vec3 water = (1.0 - fresnel) * u_oceanColor * u_skyColor * diffuse;",
" vec3 color = sky + water;",
" gl_FragColor = vec4(hdr(color, u_exposure), 1.0);",
"}"
].join( "\n" )
};
export { OceanShaders };