samien
/
three.js
zrcadlo https://github.com/mrdoob/three.js.git


			
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							<!DOCTYPE html>
<html lang="en">
	<head>
		<title>three.js webgpu - compute fluid particles</title>
		<meta charset="utf-8">
		<meta name="viewport" content="width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0">
		<link type="text/css" rel="stylesheet" href="main.css">
	</head>
	<body>

		<div id="info">
			<a href="https://threejs.org" target="_blank" rel="noopener">three.js</a> webgpu - fluid particles<br />
			MLS-MPM particle simulation running in compute shaders
		</div>

		<script type="importmap">
			{
				"imports": {
					"three": "../build/three.webgpu.js",
					"three/webgpu": "../build/three.webgpu.js",
					"three/tsl": "../build/three.tsl.js",
					"three/addons/": "./jsm/"
				}
			}
		</script>

		<script type="module">

			import * as THREE from 'three/webgpu';

			import { Fn, If, Return, instancedArray, instanceIndex, uniform, attribute, uint, float, clamp, struct, atomicStore, int, ivec3, array, vec3, atomicAdd, Loop, atomicLoad, max, pow, mat3, vec4, cross, step } from 'three/tsl';

			import { GUI } from 'three/addons/libs/lil-gui.module.min.js';
			import { OrbitControls } from 'three/addons/controls/OrbitControls.js';
			import { HDRLoader } from 'three/addons/loaders/HDRLoader.js';
			import * as BufferGeometryUtils from 'three/addons/utils/BufferGeometryUtils.js';
			import WebGPU from 'three/addons/capabilities/WebGPU.js';

			let renderer, scene, camera, controls;

			const clock = new THREE.Clock();

			const maxParticles = 8192 * 16;
			const gridSize1d = 64;
			const gridSize = new THREE.Vector3( gridSize1d, gridSize1d, gridSize1d );
			const fixedPointMultiplier = 1e7;

			let particleCountUniform, stiffnessUniform, restDensityUniform, dynamicViscosityUniform, dtUniform, gravityUniform, gridSizeUniform;
			let particleBuffer, cellBuffer, cellBufferFloat;
			let clearGridKernel, p2g1Kernel, p2g2Kernel, updateGridKernel, g2pKernel;
			let particleMesh;
			const mouseCoord = new THREE.Vector3();
			const prevMouseCoord = new THREE.Vector3();
			let mouseRayOriginUniform, mouseRayDirectionUniform, mouseForceUniform;

			if ( WebGPU.isAvailable() === false ) {

				document.body.appendChild( WebGPU.getErrorMessage() );
				throw new Error( 'No WebGPU support' );

			}

			const gui = new GUI();

			const params = {
				particleCount: 8192 * 4,
			};

			init();

			async function init() {

				renderer = new THREE.WebGPURenderer( { antialias: true } );
				renderer.setPixelRatio( window.devicePixelRatio );
				renderer.setSize( window.innerWidth, window.innerHeight );
				renderer.toneMapping = THREE.ACESFilmicToneMapping;
				renderer.toneMappingExposure = 1.35;
				document.body.appendChild( renderer.domElement );

				scene = new THREE.Scene();

				camera = new THREE.PerspectiveCamera( 40, window.innerWidth / window.innerHeight, 0.01, 10 );
				camera.position.set( - 1.3, 1.3, - 1.3 );

				controls = new OrbitControls( camera, renderer.domElement );

				controls.minDistance = 1;
				controls.maxDistance = 3;
				controls.maxPolarAngle = Math.PI * 0.35;
				controls.touches = { TWO: THREE.TOUCH.DOLLY_ROTATE };

				const hdrLoader = new HDRLoader().setPath( 'textures/equirectangular/' );

				const hdrTexture = await hdrLoader.loadAsync( 'royal_esplanade_1k.hdr' );
				hdrTexture.mapping = THREE.EquirectangularReflectionMapping;
				scene.background = hdrTexture;
				scene.backgroundBlurriness = 0.5;
				scene.environment = hdrTexture;

				setupParticles();

				gui.add( params, 'particleCount', 4096, maxParticles, 4096 ).onChange( value => {

					p2g1Kernel.count = value;
					p2g2Kernel.count = value;
					g2pKernel.count = value;
					particleMesh.count = value;
					particleCountUniform.value = value;

				} );

				window.addEventListener( 'resize', onWindowResize );
				controls.update();
				renderer.setAnimationLoop( render );

			}

			function setupBuffers() {

				const particleStruct = struct( {
					position: { type: 'vec3' },
					velocity: { type: 'vec3' },
					C: { type: 'mat3' },
				} );
				const particleStructSize = 20; // each vec3 occupies 4 floats and mat3 occupies 12 floats in memory because of webgpu memory alignment
				const particleArray = new Float32Array( maxParticles * particleStructSize );

				for ( let i = 0; i < maxParticles; i ++ ) {

					particleArray[ i * particleStructSize ] = ( Math.random() * 0.8 + 0.1 );
					particleArray[ i * particleStructSize + 1 ] = ( Math.random() * 0.8 + 0.1 );
					particleArray[ i * particleStructSize + 2 ] = ( Math.random() * 0.8 + 0.1 );

				}

				particleBuffer = instancedArray( particleArray, particleStruct );

				const cellCount = gridSize.x * gridSize.y * gridSize.z;

				const cellStruct = struct( {
					x: { type: 'int', atomic: true },
					y: { type: 'int', atomic: true },
					z: { type: 'int', atomic: true },
					mass: { type: 'int', atomic: true },
				} );

				cellBuffer = instancedArray( cellCount, cellStruct );
				cellBufferFloat = instancedArray( cellCount, 'vec4' );

			}

			function setupUniforms() {

				gridSizeUniform = uniform( gridSize );
				particleCountUniform = uniform( params.particleCount, 'uint' );
				stiffnessUniform = uniform( 50 );
				restDensityUniform = uniform( 1.5 );
				dynamicViscosityUniform = uniform( 0.1 );
				dtUniform = uniform( 1 / 60 );
				gravityUniform = uniform( new THREE.Vector3( 0, - ( 9.81 * 9.81 ), 0 ) );
				mouseRayOriginUniform = uniform( new THREE.Vector3( 0, 0, 0 ) );
				mouseRayDirectionUniform = uniform( new THREE.Vector3( 0, 0, 0 ) );
				mouseForceUniform = uniform( new THREE.Vector3( 0, 0, 0 ) );

				// gui.add(restDensityUniform, "value", 1.0, 3, 0.1).name("restDensity");
				// it's interesting to adjust the restDensity but it might cause the simulation to become unstable

			}

			function setupComputeShaders() {

				// the MLS-MPM system uses five compute shaders:
				// 1. clearGridKernel: this clears the grid before each pass
				// 2. p2g1Kernel & 3. p2g2Kernel: These particle2grid kernels transfer the particles' energy to the grid
				// 4. updateGridKernel: updates the grid
				// 5. g2pKernel: grid2particle kernel, transfers the grid energy back to the particles
				// the implementation closely follows https://github.com/matsuoka-601/WebGPU-Ocean

				// because webgpu only supports int atomics, we use fixed point floats by multiplying/dividing the float values with a high integer constant
				const encodeFixedPoint = ( f32 ) => {

					return int( f32.mul( fixedPointMultiplier ) );
			
				};

				const decodeFixedPoint = ( i32 ) => {

					return float( i32 ).div( fixedPointMultiplier );
			
				};

				const cellCount = gridSize.x * gridSize.y * gridSize.z;
				clearGridKernel = Fn( () => {

					If( instanceIndex.greaterThanEqual( uint( cellCount ) ), () => {

						Return();
			
					} );

					atomicStore( cellBuffer.element( instanceIndex ).get( 'x' ), 0 );
					atomicStore( cellBuffer.element( instanceIndex ).get( 'y' ), 0 );
					atomicStore( cellBuffer.element( instanceIndex ).get( 'z' ), 0 );
					atomicStore( cellBuffer.element( instanceIndex ).get( 'mass' ), 0 );
			
				} )().compute( cellCount );

				p2g1Kernel = Fn( () => {

					If( instanceIndex.greaterThanEqual( particleCountUniform ), () => {

						Return();
			
					} );
					const particlePosition = particleBuffer.element( instanceIndex ).get( 'position' ).toConst( 'particlePosition' );
					const particleVelocity = particleBuffer.element( instanceIndex ).get( 'velocity' ).toConst( 'particleVelocity' );
					const C = particleBuffer.element( instanceIndex ).get( 'C' ).toConst( 'C' );

					const gridPosition = particlePosition.mul( gridSizeUniform ).toVar();
					const cellIndex = ivec3( gridPosition ).sub( 1 ).toConst( 'cellIndex' );
					const cellDiff = gridPosition.fract().sub( 0.5 ).toConst( 'cellDiff' );
					const w0 = float( 0.5 ).mul( float( 0.5 ).sub( cellDiff ) ).mul( float( 0.5 ).sub( cellDiff ) );
					const w1 = float( 0.75 ).sub( cellDiff.mul( cellDiff ) );
					const w2 = float( 0.5 ).mul( float( 0.5 ).add( cellDiff ) ).mul( float( 0.5 ).add( cellDiff ) );
					const weights = array( [ w0, w1, w2 ] ).toConst( 'weights' );

					Loop( { start: 0, end: 3, type: 'int', name: 'gx', condition: '<' }, ( { gx } ) => {

						Loop( { start: 0, end: 3, type: 'int', name: 'gy', condition: '<' }, ( { gy } ) => {

							Loop( { start: 0, end: 3, type: 'int', name: 'gz', condition: '<' }, ( { gz } ) => {

								const weight = weights.element( gx ).x.mul( weights.element( gy ).y ).mul( weights.element( gz ).z );
								const cellX = cellIndex.add( ivec3( gx, gy, gz ) ).toConst();
								const cellDist = vec3( cellX ).add( 0.5 ).sub( gridPosition ).toConst( 'cellDist' );
								const Q = C.mul( cellDist );

								const massContrib = weight; // assuming particle mass = 1.0
								const velContrib = massContrib.mul( particleVelocity.add( Q ) ).toConst( 'velContrib' );
								const cellPtr = cellX.x.mul( int( gridSize.y * gridSize.z ) ).add( cellX.y.mul( int( gridSize.z ) ) ).add( cellX.z ).toConst();
								const cell = cellBuffer.element( cellPtr );

								atomicAdd( cell.get( 'x' ), encodeFixedPoint( velContrib.x ) );
								atomicAdd( cell.get( 'y' ), encodeFixedPoint( velContrib.y ) );
								atomicAdd( cell.get( 'z' ), encodeFixedPoint( velContrib.z ) );
								atomicAdd( cell.get( 'mass' ), encodeFixedPoint( massContrib ) );
			
							} );
			
						} );
			
					} );
			
				} )().compute( params.particleCount );

				p2g2Kernel = Fn( () => {

					If( instanceIndex.greaterThanEqual( particleCountUniform ), () => {

						Return();
			
					} );
					const particlePosition = particleBuffer.element( instanceIndex ).get( 'position' ).toConst( 'particlePosition' );
					const gridPosition = particlePosition.mul( gridSizeUniform ).toVar();

					const cellIndex = ivec3( gridPosition ).sub( 1 ).toConst( 'cellIndex' );
					const cellDiff = gridPosition.fract().sub( 0.5 ).toConst( 'cellDiff' );
					const w0 = float( 0.5 ).mul( float( 0.5 ).sub( cellDiff ) ).mul( float( 0.5 ).sub( cellDiff ) );
					const w1 = float( 0.75 ).sub( cellDiff.mul( cellDiff ) );
					const w2 = float( 0.5 ).mul( float( 0.5 ).add( cellDiff ) ).mul( float( 0.5 ).add( cellDiff ) );
					const weights = array( [ w0, w1, w2 ] ).toConst( 'weights' );

					const density = float( 0 ).toVar( 'density' );
					Loop( { start: 0, end: 3, type: 'int', name: 'gx', condition: '<' }, ( { gx } ) => {

						Loop( { start: 0, end: 3, type: 'int', name: 'gy', condition: '<' }, ( { gy } ) => {

							Loop( { start: 0, end: 3, type: 'int', name: 'gz', condition: '<' }, ( { gz } ) => {

								const weight = weights.element( gx ).x.mul( weights.element( gy ).y ).mul( weights.element( gz ).z );
								const cellX = cellIndex.add( ivec3( gx, gy, gz ) ).toConst();
								const cellPtr = cellX.x.mul( int( gridSize.y * gridSize.z ) ).add( cellX.y.mul( int( gridSize.z ) ) ).add( cellX.z ).toConst();
								const cell = cellBuffer.element( cellPtr );
								const mass = decodeFixedPoint( atomicLoad( cell.get( 'mass' ) ) );
								density.addAssign( mass.mul( weight ) );
			
							} );
			
						} );
			
					} );

					const volume = float( 1 ).div( density );
					const pressure = max( 0.0, pow( density.div( restDensityUniform ), 5.0 ).sub( 1 ).mul( stiffnessUniform ) ).toConst( 'pressure' );
					const stress = mat3( pressure.negate(), 0, 0, 0, pressure.negate(), 0, 0, 0, pressure.negate() ).toVar( 'stress' );
					const dudv = particleBuffer.element( instanceIndex ).get( 'C' ).toConst( 'C' );

					const strain = dudv.add( dudv.transpose() );
					stress.addAssign( strain.mul( dynamicViscosityUniform ) );
					const eq16Term0 = volume.mul( - 4 ).mul( stress ).mul( dtUniform );

					Loop( { start: 0, end: 3, type: 'int', name: 'gx', condition: '<' }, ( { gx } ) => {

						Loop( { start: 0, end: 3, type: 'int', name: 'gy', condition: '<' }, ( { gy } ) => {

							Loop( { start: 0, end: 3, type: 'int', name: 'gz', condition: '<' }, ( { gz } ) => {

								const weight = weights.element( gx ).x.mul( weights.element( gy ).y ).mul( weights.element( gz ).z );
								const cellX = cellIndex.add( ivec3( gx, gy, gz ) ).toConst();
								const cellDist = vec3( cellX ).add( 0.5 ).sub( gridPosition ).toConst( 'cellDist' );
								const momentum = eq16Term0.mul( weight ).mul( cellDist ).toConst( 'momentum' );

								const cellPtr = cellX.x.mul( int( gridSize.y * gridSize.z ) ).add( cellX.y.mul( int( gridSize.z ) ) ).add( cellX.z ).toConst();
								const cell = cellBuffer.element( cellPtr );
								atomicAdd( cell.get( 'x' ), encodeFixedPoint( momentum.x ) );
								atomicAdd( cell.get( 'y' ), encodeFixedPoint( momentum.y ) );
								atomicAdd( cell.get( 'z' ), encodeFixedPoint( momentum.z ) );
			
							} );
			
						} );
			
					} );
			
				} )().compute( params.particleCount );

				updateGridKernel = Fn( () => {

					If( instanceIndex.greaterThanEqual( uint( cellCount ) ), () => {

						Return();
			
					} );
					const cell = cellBuffer.element( instanceIndex );
					const mass = decodeFixedPoint( atomicLoad( cell.get( 'mass' ) ) ).toConst();
					If( mass.lessThanEqual( 0 ), () => {

						Return();

					} );

					const vx = decodeFixedPoint( atomicLoad( cell.get( 'x' ) ) ).div( mass ).toVar();
					const vy = decodeFixedPoint( atomicLoad( cell.get( 'y' ) ) ).div( mass ).toVar();
					const vz = decodeFixedPoint( atomicLoad( cell.get( 'z' ) ) ).div( mass ).toVar();

					const x = int( instanceIndex ).div( int( gridSize.z * gridSize.y ) );
					const y = int( instanceIndex ).div( int( gridSize.z ) ).mod( int( gridSize.y ) );
					const z = int( instanceIndex ).mod( int( gridSize.z ) );
					If( x.lessThan( int( 1 ) ).or( x.greaterThan( int( gridSize.x ).sub( int( 2 ) ) ) ), () => {

						vx.assign( 0 );

					} );
					If( y.lessThan( int( 1 ) ).or( y.greaterThan( int( gridSize.y ).sub( int( 2 ) ) ) ), () => {

						vy.assign( 0 );

					} );
					If( z.lessThan( int( 1 ) ).or( z.greaterThan( int( gridSize.z ).sub( int( 2 ) ) ) ), () => {

						vz.assign( 0 );

					} );

					cellBufferFloat.element( instanceIndex ).assign( vec4( vx, vy, vz, mass ) );
			
				} )().compute( cellCount );


				const clampToRoundedBox = ( pos, box, radius ) => {

					const result = pos.sub( 0.5 ).toVar();
					const pp = step( box, result.abs() ).mul( result.add( box.negate().mul( result.sign() ) ) );
					const ppLen = pp.length().toVar();
					const dist = ppLen.sub( radius );
					If( dist.greaterThan( 0.0 ), () => {

						result.subAssign( pp.normalize().mul( dist ).mul( 1.3 ) );
			
					} );
					result.addAssign( 0.5 );
					return result;
			
				};

				g2pKernel = Fn( () => {

					If( instanceIndex.greaterThanEqual( particleCountUniform ), () => {

						Return();
			
					} );
					const particlePosition = particleBuffer.element( instanceIndex ).get( 'position' ).toVar( 'particlePosition' );
					const gridPosition = particlePosition.mul( gridSizeUniform ).toVar();
					const particleVelocity = vec3( 0 ).toVar();

					const cellIndex = ivec3( gridPosition ).sub( 1 ).toConst( 'cellIndex' );
					const cellDiff = gridPosition.fract().sub( 0.5 ).toConst( 'cellDiff' );

					const w0 = float( 0.5 ).mul( float( 0.5 ).sub( cellDiff ) ).mul( float( 0.5 ).sub( cellDiff ) );
					const w1 = float( 0.75 ).sub( cellDiff.mul( cellDiff ) );
					const w2 = float( 0.5 ).mul( float( 0.5 ).add( cellDiff ) ).mul( float( 0.5 ).add( cellDiff ) );
					const weights = array( [ w0, w1, w2 ] ).toConst( 'weights' );

					const B = mat3( 0 ).toVar( 'B' );
					Loop( { start: 0, end: 3, type: 'int', name: 'gx', condition: '<' }, ( { gx } ) => {

						Loop( { start: 0, end: 3, type: 'int', name: 'gy', condition: '<' }, ( { gy } ) => {

							Loop( { start: 0, end: 3, type: 'int', name: 'gz', condition: '<' }, ( { gz } ) => {

								const weight = weights.element( gx ).x.mul( weights.element( gy ).y ).mul( weights.element( gz ).z );
								const cellX = cellIndex.add( ivec3( gx, gy, gz ) ).toConst();
								const cellDist = vec3( cellX ).add( 0.5 ).sub( gridPosition ).toConst( 'cellDist' );
								const cellPtr = cellX.x.mul( int( gridSize.y * gridSize.z ) ).add( cellX.y.mul( int( gridSize.z ) ) ).add( cellX.z ).toConst();

								const weightedVelocity = cellBufferFloat.element( cellPtr ).xyz.mul( weight ).toConst( 'weightedVelocity' );
								const term = mat3(
									weightedVelocity.mul( cellDist.x ),
									weightedVelocity.mul( cellDist.y ),
									weightedVelocity.mul( cellDist.z )
								);
								B.addAssign( term );
								particleVelocity.addAssign( weightedVelocity );
			
							} );
			
						} );
			
					} );

					particleBuffer.element( instanceIndex ).get( 'C' ).assign( B.mul( 4 ) );

					// gravity
					particleVelocity.addAssign( gravityUniform.mul( dtUniform ) );

					// scale from (gridSize.x, gridSize.y, gridSize.z) to (1, 1, 1)
					particleVelocity.divAssign( gridSizeUniform );

					// mouseInteraction
					const dist = cross( mouseRayDirectionUniform, particlePosition.sub( mouseRayOriginUniform ) ).length();
					const force = dist.mul( 3.00 ).oneMinus().max( 0.0 ).pow( 2 );
					particleVelocity.addAssign( mouseForceUniform.mul( force ) );

					// add velocity to position
					particlePosition.addAssign( particleVelocity.mul( dtUniform ) );

					// clamp position so outermost gridCells are not reached
					particlePosition.assign( clamp( particlePosition, vec3( 1 ).div( gridSizeUniform ), vec3( gridSize ).sub( 1 ).div( gridSizeUniform ) ) );

					// add force for particles to stay within rounded box
					const innerBox = gridSizeUniform.mul( 0.5 ).sub( 9.0 ).div( gridSizeUniform ).toVar();
					const innerRadius = float( 6.0 ).div( gridSizeUniform.x );
					const posNext = particlePosition.add( particleVelocity.mul( dtUniform ).mul( 2.0 ) ).toConst( 'posNext' );
					const posNextClamped = clampToRoundedBox( posNext, innerBox, innerRadius );
					particleVelocity.addAssign( posNextClamped.sub( posNext ) );

					/*
					const wallStiffness = 1.0;
					const xN = particlePosition.add( particleVelocity.mul( dtUniform ).mul( 2.0 ) ).toConst( 'xN' );
					const wallMin = vec3( 3 ).div(gridSizeUniform).toConst( 'wallMin' );
					const wallMax = vec3( gridSize ).sub( 3 ).div(gridSizeUniform).toConst( 'wallMax' );
					particleVelocity.addAssign( wallMin.sub( xN ).max( 0.0 ).mul( wallStiffness ) );
					particleVelocity.addAssign( wallMax.sub( xN ).min( 0.0 ).mul( wallStiffness ) );
					*/

					// scale from (1, 1, 1) back to (gridSize.x, gridSize.y, gridSize.z) to
					particleVelocity.mulAssign( gridSizeUniform );

					particleBuffer.element( instanceIndex ).get( 'position' ).assign( particlePosition );
					particleBuffer.element( instanceIndex ).get( 'velocity' ).assign( particleVelocity );
			
				} )().compute( params.particleCount );

			}

			function setupMesh() {

				// mergeVertices to reduce the number of vertexShaderCalls
				const geometry = BufferGeometryUtils.mergeVertices( new THREE.IcosahedronGeometry( 0.008, 1 ).deleteAttribute( 'uv' ) );

				const material = new THREE.MeshStandardNodeMaterial( {
					color: '#0066FF'
				} );

				material.positionNode = Fn( () => {

					const particlePosition = particleBuffer.element( instanceIndex ).get( 'position' );
					return attribute( 'position' ).add( particlePosition );
			
				} )();
				particleMesh = new THREE.Mesh( geometry, material );
				particleMesh.count = params.particleCount;
				particleMesh.position.set( - 0.5, 0, - 0.5 );
				particleMesh.frustumCulled = false;
				scene.add( particleMesh );

			}

			function setupMouse() {

				const raycaster = new THREE.Raycaster();
				const raycastPlane = new THREE.Plane( new THREE.Vector3( 0, 1, 0 ) );

				const onMove = ( event ) => {

					const pointer = new THREE.Vector2( ( event.clientX / window.innerWidth ) * 2 - 1, - ( event.clientY / window.innerHeight ) * 2 + 1 );
					raycaster.setFromCamera( pointer, camera );
					raycaster.ray.origin.x += 0.5;
					raycaster.ray.origin.z += 0.5;
					mouseRayOriginUniform.value.copy( raycaster.ray.origin );
					mouseRayDirectionUniform.value.copy( raycaster.ray.direction );

					raycaster.ray.intersectPlane( raycastPlane, mouseCoord );

				};

				renderer.domElement.addEventListener( 'pointermove', onMove );

			}

			function setupParticles() {

				setupBuffers();
				setupUniforms();
				setupComputeShaders();
				setupMesh();
				setupMouse();

			}

			function onWindowResize() {

				camera.aspect = window.innerWidth / window.innerHeight;

				camera.updateProjectionMatrix();

				renderer.setSize( window.innerWidth, window.innerHeight );

			}

			async function render() {

				const deltaTime = THREE.MathUtils.clamp( clock.getDelta(), 0.00001, 1 / 60 ); // don't advance the time too far, for example when the window is out of focus
				dtUniform.value = deltaTime;

				mouseForceUniform.value.copy( mouseCoord ).sub( prevMouseCoord ).multiplyScalar( 2 );
				const mouseForceLength = mouseForceUniform.value.length();
				if ( mouseForceLength > 0.3 ) {

					mouseForceUniform.value.multiplyScalar( 0.3 / mouseForceLength );
			
				}

				prevMouseCoord.copy( mouseCoord );

				await renderer.computeAsync( [ clearGridKernel, p2g1Kernel, p2g2Kernel, updateGridKernel, g2pKernel ] );

				await renderer.renderAsync( scene, camera );

			}


		</script>
	</body>
</html>