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three

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JavaScript 3D library

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/** * @license * Copyright 2010-2021 Three.js Authors * SPDX-License-Identifier: MIT */ (function (global, factory) { typeof exports === 'object' && typeof module !== 'undefined' ? factory(exports) : typeof define === 'function' && define.amd ? define(['exports'], factory) : (global = typeof globalThis !== 'undefined' ? globalThis : global || self, factory(global.THREE = {})); }(this, (function (exports) { 'use strict'; const REVISION = '130'; const MOUSE = { LEFT: 0, MIDDLE: 1, RIGHT: 2, ROTATE: 0, DOLLY: 1, PAN: 2 }; const TOUCH = { ROTATE: 0, PAN: 1, DOLLY_PAN: 2, DOLLY_ROTATE: 3 }; const CullFaceNone = 0; const CullFaceBack = 1; const CullFaceFront = 2; const CullFaceFrontBack = 3; const BasicShadowMap = 0; const PCFShadowMap = 1; const PCFSoftShadowMap = 2; const VSMShadowMap = 3; const FrontSide = 0; const BackSide = 1; const DoubleSide = 2; const FlatShading = 1; const SmoothShading = 2; const NoBlending = 0; const NormalBlending = 1; const AdditiveBlending = 2; const SubtractiveBlending = 3; const MultiplyBlending = 4; const CustomBlending = 5; const AddEquation = 100; const SubtractEquation = 101; const ReverseSubtractEquation = 102; const MinEquation = 103; const MaxEquation = 104; const ZeroFactor = 200; const OneFactor = 201; const SrcColorFactor = 202; const OneMinusSrcColorFactor = 203; const SrcAlphaFactor = 204; const OneMinusSrcAlphaFactor = 205; const DstAlphaFactor = 206; const OneMinusDstAlphaFactor = 207; const DstColorFactor = 208; const OneMinusDstColorFactor = 209; const SrcAlphaSaturateFactor = 210; const NeverDepth = 0; const AlwaysDepth = 1; const LessDepth = 2; const LessEqualDepth = 3; const EqualDepth = 4; const GreaterEqualDepth = 5; const GreaterDepth = 6; const NotEqualDepth = 7; const MultiplyOperation = 0; const MixOperation = 1; const AddOperation = 2; const NoToneMapping = 0; const LinearToneMapping = 1; const ReinhardToneMapping = 2; const CineonToneMapping = 3; const ACESFilmicToneMapping = 4; const CustomToneMapping = 5; const UVMapping = 300; const CubeReflectionMapping = 301; const CubeRefractionMapping = 302; const EquirectangularReflectionMapping = 303; const EquirectangularRefractionMapping = 304; const CubeUVReflectionMapping = 306; const CubeUVRefractionMapping = 307; const RepeatWrapping = 1000; const ClampToEdgeWrapping = 1001; const MirroredRepeatWrapping = 1002; const NearestFilter = 1003; const NearestMipmapNearestFilter = 1004; const NearestMipMapNearestFilter = 1004; const NearestMipmapLinearFilter = 1005; const NearestMipMapLinearFilter = 1005; const LinearFilter = 1006; const LinearMipmapNearestFilter = 1007; const LinearMipMapNearestFilter = 1007; const LinearMipmapLinearFilter = 1008; const LinearMipMapLinearFilter = 1008; const UnsignedByteType = 1009; const ByteType = 1010; const ShortType = 1011; const UnsignedShortType = 1012; const IntType = 1013; const UnsignedIntType = 1014; const FloatType = 1015; const HalfFloatType = 1016; const UnsignedShort4444Type = 1017; const UnsignedShort5551Type = 1018; const UnsignedShort565Type = 1019; const UnsignedInt248Type = 1020; const AlphaFormat = 1021; const RGBFormat = 1022; const RGBAFormat = 1023; const LuminanceFormat = 1024; const LuminanceAlphaFormat = 1025; const RGBEFormat = RGBAFormat; const DepthFormat = 1026; const DepthStencilFormat = 1027; const RedFormat = 1028; const RedIntegerFormat = 1029; const RGFormat = 1030; const RGIntegerFormat = 1031; const RGBIntegerFormat = 1032; const RGBAIntegerFormat = 1033; const RGB_S3TC_DXT1_Format = 33776; const RGBA_S3TC_DXT1_Format = 33777; const RGBA_S3TC_DXT3_Format = 33778; const RGBA_S3TC_DXT5_Format = 33779; const RGB_PVRTC_4BPPV1_Format = 35840; const RGB_PVRTC_2BPPV1_Format = 35841; const RGBA_PVRTC_4BPPV1_Format = 35842; const RGBA_PVRTC_2BPPV1_Format = 35843; const RGB_ETC1_Format = 36196; const RGB_ETC2_Format = 37492; const RGBA_ETC2_EAC_Format = 37496; const RGBA_ASTC_4x4_Format = 37808; const RGBA_ASTC_5x4_Format = 37809; const RGBA_ASTC_5x5_Format = 37810; const RGBA_ASTC_6x5_Format = 37811; const RGBA_ASTC_6x6_Format = 37812; const RGBA_ASTC_8x5_Format = 37813; const RGBA_ASTC_8x6_Format = 37814; const RGBA_ASTC_8x8_Format = 37815; const RGBA_ASTC_10x5_Format = 37816; const RGBA_ASTC_10x6_Format = 37817; const RGBA_ASTC_10x8_Format = 37818; const RGBA_ASTC_10x10_Format = 37819; const RGBA_ASTC_12x10_Format = 37820; const RGBA_ASTC_12x12_Format = 37821; const RGBA_BPTC_Format = 36492; const SRGB8_ALPHA8_ASTC_4x4_Format = 37840; const SRGB8_ALPHA8_ASTC_5x4_Format = 37841; const SRGB8_ALPHA8_ASTC_5x5_Format = 37842; const SRGB8_ALPHA8_ASTC_6x5_Format = 37843; const SRGB8_ALPHA8_ASTC_6x6_Format = 37844; const SRGB8_ALPHA8_ASTC_8x5_Format = 37845; const SRGB8_ALPHA8_ASTC_8x6_Format = 37846; const SRGB8_ALPHA8_ASTC_8x8_Format = 37847; const SRGB8_ALPHA8_ASTC_10x5_Format = 37848; const SRGB8_ALPHA8_ASTC_10x6_Format = 37849; const SRGB8_ALPHA8_ASTC_10x8_Format = 37850; const SRGB8_ALPHA8_ASTC_10x10_Format = 37851; const SRGB8_ALPHA8_ASTC_12x10_Format = 37852; const SRGB8_ALPHA8_ASTC_12x12_Format = 37853; const LoopOnce = 2200; const LoopRepeat = 2201; const LoopPingPong = 2202; const InterpolateDiscrete = 2300; const InterpolateLinear = 2301; const InterpolateSmooth = 2302; const ZeroCurvatureEnding = 2400; const ZeroSlopeEnding = 2401; const WrapAroundEnding = 2402; const NormalAnimationBlendMode = 2500; const AdditiveAnimationBlendMode = 2501; const TrianglesDrawMode = 0; const TriangleStripDrawMode = 1; const TriangleFanDrawMode = 2; const LinearEncoding = 3000; const sRGBEncoding = 3001; const GammaEncoding = 3007; const RGBEEncoding = 3002; const LogLuvEncoding = 3003; const RGBM7Encoding = 3004; const RGBM16Encoding = 3005; const RGBDEncoding = 3006; const BasicDepthPacking = 3200; const RGBADepthPacking = 3201; const TangentSpaceNormalMap = 0; const ObjectSpaceNormalMap = 1; const ZeroStencilOp = 0; const KeepStencilOp = 7680; const ReplaceStencilOp = 7681; const IncrementStencilOp = 7682; const DecrementStencilOp = 7683; const IncrementWrapStencilOp = 34055; const DecrementWrapStencilOp = 34056; const InvertStencilOp = 5386; const NeverStencilFunc = 512; const LessStencilFunc = 513; const EqualStencilFunc = 514; const LessEqualStencilFunc = 515; const GreaterStencilFunc = 516; const NotEqualStencilFunc = 517; const GreaterEqualStencilFunc = 518; const AlwaysStencilFunc = 519; const StaticDrawUsage = 35044; const DynamicDrawUsage = 35048; const StreamDrawUsage = 35040; const StaticReadUsage = 35045; const DynamicReadUsage = 35049; const StreamReadUsage = 35041; const StaticCopyUsage = 35046; const DynamicCopyUsage = 35050; const StreamCopyUsage = 35042; const GLSL1 = '100'; const GLSL3 = '300 es'; /** * https://github.com/mrdoob/eventdispatcher.js/ */ class EventDispatcher { addEventListener(type, listener) { if (this._listeners === undefined) this._listeners = {}; const listeners = this._listeners; if (listeners[type] === undefined) { listeners[type] = []; } if (listeners[type].indexOf(listener) === -1) { listeners[type].push(listener); } } hasEventListener(type, listener) { if (this._listeners === undefined) return false; const listeners = this._listeners; return listeners[type] !== undefined && listeners[type].indexOf(listener) !== -1; } removeEventListener(type, listener) { if (this._listeners === undefined) return; const listeners = this._listeners; const listenerArray = listeners[type]; if (listenerArray !== undefined) { const index = listenerArray.indexOf(listener); if (index !== -1) { listenerArray.splice(index, 1); } } } dispatchEvent(event) { if (this._listeners === undefined) return; const listeners = this._listeners; const listenerArray = listeners[event.type]; if (listenerArray !== undefined) { event.target = this; // Make a copy, in case listeners are removed while iterating. const array = listenerArray.slice(0); for (let i = 0, l = array.length; i < l; i++) { array[i].call(this, event); } event.target = null; } } } const _lut = []; for (let i = 0; i < 256; i++) { _lut[i] = (i < 16 ? '0' : '') + i.toString(16); } let _seed = 1234567; const DEG2RAD = Math.PI / 180; const RAD2DEG = 180 / Math.PI; // http://stackoverflow.com/questions/105034/how-to-create-a-guid-uuid-in-javascript/21963136#21963136 function generateUUID() { const d0 = Math.random() * 0xffffffff | 0; const d1 = Math.random() * 0xffffffff | 0; const d2 = Math.random() * 0xffffffff | 0; const d3 = Math.random() * 0xffffffff | 0; const uuid = _lut[d0 & 0xff] + _lut[d0 >> 8 & 0xff] + _lut[d0 >> 16 & 0xff] + _lut[d0 >> 24 & 0xff] + '-' + _lut[d1 & 0xff] + _lut[d1 >> 8 & 0xff] + '-' + _lut[d1 >> 16 & 0x0f | 0x40] + _lut[d1 >> 24 & 0xff] + '-' + _lut[d2 & 0x3f | 0x80] + _lut[d2 >> 8 & 0xff] + '-' + _lut[d2 >> 16 & 0xff] + _lut[d2 >> 24 & 0xff] + _lut[d3 & 0xff] + _lut[d3 >> 8 & 0xff] + _lut[d3 >> 16 & 0xff] + _lut[d3 >> 24 & 0xff]; // .toUpperCase() here flattens concatenated strings to save heap memory space. return uuid.toUpperCase(); } function clamp(value, min, max) { return Math.max(min, Math.min(max, value)); } // compute euclidian modulo of m % n // https://en.wikipedia.org/wiki/Modulo_operation function euclideanModulo(n, m) { return (n % m + m) % m; } // Linear mapping from range <a1, a2> to range <b1, b2> function mapLinear(x, a1, a2, b1, b2) { return b1 + (x - a1) * (b2 - b1) / (a2 - a1); } // https://www.gamedev.net/tutorials/programming/general-and-gameplay-programming/inverse-lerp-a-super-useful-yet-often-overlooked-function-r5230/ function inverseLerp(x, y, value) { if (x !== y) { return (value - x) / (y - x); } else { return 0; } } // https://en.wikipedia.org/wiki/Linear_interpolation function lerp(x, y, t) { return (1 - t) * x + t * y; } // http://www.rorydriscoll.com/2016/03/07/frame-rate-independent-damping-using-lerp/ function damp(x, y, lambda, dt) { return lerp(x, y, 1 - Math.exp(-lambda * dt)); } // https://www.desmos.com/calculator/vcsjnyz7x4 function pingpong(x, length = 1) { return length - Math.abs(euclideanModulo(x, length * 2) - length); } // http://en.wikipedia.org/wiki/Smoothstep function smoothstep(x, min, max) { if (x <= min) return 0; if (x >= max) return 1; x = (x - min) / (max - min); return x * x * (3 - 2 * x); } function smootherstep(x, min, max) { if (x <= min) return 0; if (x >= max) return 1; x = (x - min) / (max - min); return x * x * x * (x * (x * 6 - 15) + 10); } // Random integer from <low, high> interval function randInt(low, high) { return low + Math.floor(Math.random() * (high - low + 1)); } // Random float from <low, high> interval function randFloat(low, high) { return low + Math.random() * (high - low); } // Random float from <-range/2, range/2> interval function randFloatSpread(range) { return range * (0.5 - Math.random()); } // Deterministic pseudo-random float in the interval [ 0, 1 ] function seededRandom(s) { if (s !== undefined) _seed = s % 2147483647; // Park-Miller algorithm _seed = _seed * 16807 % 2147483647; return (_seed - 1) / 2147483646; } function degToRad(degrees) { return degrees * DEG2RAD; } function radToDeg(radians) { return radians * RAD2DEG; } function isPowerOfTwo(value) { return (value & value - 1) === 0 && value !== 0; } function ceilPowerOfTwo(value) { return Math.pow(2, Math.ceil(Math.log(value) / Math.LN2)); } function floorPowerOfTwo(value) { return Math.pow(2, Math.floor(Math.log(value) / Math.LN2)); } function setQuaternionFromProperEuler(q, a, b, c, order) { // Intrinsic Proper Euler Angles - see https://en.wikipedia.org/wiki/Euler_angles // rotations are applied to the axes in the order specified by 'order' // rotation by angle 'a' is applied first, then by angle 'b', then by angle 'c' // angles are in radians const cos = Math.cos; const sin = Math.sin; const c2 = cos(b / 2); const s2 = sin(b / 2); const c13 = cos((a + c) / 2); const s13 = sin((a + c) / 2); const c1_3 = cos((a - c) / 2); const s1_3 = sin((a - c) / 2); const c3_1 = cos((c - a) / 2); const s3_1 = sin((c - a) / 2); switch (order) { case 'XYX': q.set(c2 * s13, s2 * c1_3, s2 * s1_3, c2 * c13); break; case 'YZY': q.set(s2 * s1_3, c2 * s13, s2 * c1_3, c2 * c13); break; case 'ZXZ': q.set(s2 * c1_3, s2 * s1_3, c2 * s13, c2 * c13); break; case 'XZX': q.set(c2 * s13, s2 * s3_1, s2 * c3_1, c2 * c13); break; case 'YXY': q.set(s2 * c3_1, c2 * s13, s2 * s3_1, c2 * c13); break; case 'ZYZ': q.set(s2 * s3_1, s2 * c3_1, c2 * s13, c2 * c13); break; default: console.warn('THREE.MathUtils: .setQuaternionFromProperEuler() encountered an unknown order: ' + order); } } var MathUtils = /*#__PURE__*/Object.freeze({ __proto__: null, DEG2RAD: DEG2RAD, RAD2DEG: RAD2DEG, generateUUID: generateUUID, clamp: clamp, euclideanModulo: euclideanModulo, mapLinear: mapLinear, inverseLerp: inverseLerp, lerp: lerp, damp: damp, pingpong: pingpong, smoothstep: smoothstep, smootherstep: smootherstep, randInt: randInt, randFloat: randFloat, randFloatSpread: randFloatSpread, seededRandom: seededRandom, degToRad: degToRad, radToDeg: radToDeg, isPowerOfTwo: isPowerOfTwo, ceilPowerOfTwo: ceilPowerOfTwo, floorPowerOfTwo: floorPowerOfTwo, setQuaternionFromProperEuler: setQuaternionFromProperEuler }); class Vector2 { constructor(x = 0, y = 0) { this.x = x; this.y = y; } get width() { return this.x; } set width(value) { this.x = value; } get height() { return this.y; } set height(value) { this.y = value; } set(x, y) { this.x = x; this.y = y; return this; } setScalar(scalar) { this.x = scalar; this.y = scalar; return this; } setX(x) { this.x = x; return this; } setY(y) { this.y = y; return this; } setComponent(index, value) { switch (index) { case 0: this.x = value; break; case 1: this.y = value; break; default: throw new Error('index is out of range: ' + index); } return this; } getComponent(index) { switch (index) { case 0: return this.x; case 1: return this.y; default: throw new Error('index is out of range: ' + index); } } clone() { return new this.constructor(this.x, this.y); } copy(v) { this.x = v.x; this.y = v.y; return this; } add(v, w) { if (w !== undefined) { console.warn('THREE.Vector2: .add() now only accepts one argument. Use .addVectors( a, b ) instead.'); return this.addVectors(v, w); } this.x += v.x; this.y += v.y; return this; } addScalar(s) { this.x += s; this.y += s; return this; } addVectors(a, b) { this.x = a.x + b.x; this.y = a.y + b.y; return this; } addScaledVector(v, s) { this.x += v.x * s; this.y += v.y * s; return this; } sub(v, w) { if (w !== undefined) { console.warn('THREE.Vector2: .sub() now only accepts one argument. Use .subVectors( a, b ) instead.'); return this.subVectors(v, w); } this.x -= v.x; this.y -= v.y; return this; } subScalar(s) { this.x -= s; this.y -= s; return this; } subVectors(a, b) { this.x = a.x - b.x; this.y = a.y - b.y; return this; } multiply(v) { this.x *= v.x; this.y *= v.y; return this; } multiplyScalar(scalar) { this.x *= scalar; this.y *= scalar; return this; } divide(v) { this.x /= v.x; this.y /= v.y; return this; } divideScalar(scalar) { return this.multiplyScalar(1 / scalar); } applyMatrix3(m) { const x = this.x, y = this.y; const e = m.elements; this.x = e[0] * x + e[3] * y + e[6]; this.y = e[1] * x + e[4] * y + e[7]; return this; } min(v) { this.x = Math.min(this.x, v.x); this.y = Math.min(this.y, v.y); return this; } max(v) { this.x = Math.max(this.x, v.x); this.y = Math.max(this.y, v.y); return this; } clamp(min, max) { // assumes min < max, componentwise this.x = Math.max(min.x, Math.min(max.x, this.x)); this.y = Math.max(min.y, Math.min(max.y, this.y)); return this; } clampScalar(minVal, maxVal) { this.x = Math.max(minVal, Math.min(maxVal, this.x)); this.y = Math.max(minVal, Math.min(maxVal, this.y)); return this; } clampLength(min, max) { const length = this.length(); return this.divideScalar(length || 1).multiplyScalar(Math.max(min, Math.min(max, length))); } floor() { this.x = Math.floor(this.x); this.y = Math.floor(this.y); return this; } ceil() { this.x = Math.ceil(this.x); this.y = Math.ceil(this.y); return this; } round() { this.x = Math.round(this.x); this.y = Math.round(this.y); return this; } roundToZero() { this.x = this.x < 0 ? Math.ceil(this.x) : Math.floor(this.x); this.y = this.y < 0 ? Math.ceil(this.y) : Math.floor(this.y); return this; } negate() { this.x = -this.x; this.y = -this.y; return this; } dot(v) { return this.x * v.x + this.y * v.y; } cross(v) { return this.x * v.y - this.y * v.x; } lengthSq() { return this.x * this.x + this.y * this.y; } length() { return Math.sqrt(this.x * this.x + this.y * this.y); } manhattanLength() { return Math.abs(this.x) + Math.abs(this.y); } normalize() { return this.divideScalar(this.length() || 1); } angle() { // computes the angle in radians with respect to the positive x-axis const angle = Math.atan2(-this.y, -this.x) + Math.PI; return angle; } distanceTo(v) { return Math.sqrt(this.distanceToSquared(v)); } distanceToSquared(v) { const dx = this.x - v.x, dy = this.y - v.y; return dx * dx + dy * dy; } manhattanDistanceTo(v) { return Math.abs(this.x - v.x) + Math.abs(this.y - v.y); } setLength(length) { return this.normalize().multiplyScalar(length); } lerp(v, alpha) { this.x += (v.x - this.x) * alpha; this.y += (v.y - this.y) * alpha; return this; } lerpVectors(v1, v2, alpha) { this.x = v1.x + (v2.x - v1.x) * alpha; this.y = v1.y + (v2.y - v1.y) * alpha; return this; } equals(v) { return v.x === this.x && v.y === this.y; } fromArray(array, offset = 0) { this.x = array[offset]; this.y = array[offset + 1]; return this; } toArray(array = [], offset = 0) { array[offset] = this.x; array[offset + 1] = this.y; return array; } fromBufferAttribute(attribute, index, offset) { if (offset !== undefined) { console.warn('THREE.Vector2: offset has been removed from .fromBufferAttribute().'); } this.x = attribute.getX(index); this.y = attribute.getY(index); return this; } rotateAround(center, angle) { const c = Math.cos(angle), s = Math.sin(angle); const x = this.x - center.x; const y = this.y - center.y; this.x = x * c - y * s + center.x; this.y = x * s + y * c + center.y; return this; } random() { this.x = Math.random(); this.y = Math.random(); return this; } } Vector2.prototype.isVector2 = true; class Matrix3 { constructor() { this.elements = [1, 0, 0, 0, 1, 0, 0, 0, 1]; if (arguments.length > 0) { console.error('THREE.Matrix3: the constructor no longer reads arguments. use .set() instead.'); } } set(n11, n12, n13, n21, n22, n23, n31, n32, n33) { const te = this.elements; te[0] = n11; te[1] = n21; te[2] = n31; te[3] = n12; te[4] = n22; te[5] = n32; te[6] = n13; te[7] = n23; te[8] = n33; return this; } identity() { this.set(1, 0, 0, 0, 1, 0, 0, 0, 1); return this; } copy(m) { const te = this.elements; const me = m.elements; te[0] = me[0]; te[1] = me[1]; te[2] = me[2]; te[3] = me[3]; te[4] = me[4]; te[5] = me[5]; te[6] = me[6]; te[7] = me[7]; te[8] = me[8]; return this; } extractBasis(xAxis, yAxis, zAxis) { xAxis.setFromMatrix3Column(this, 0); yAxis.setFromMatrix3Column(this, 1); zAxis.setFromMatrix3Column(this, 2); return this; } setFromMatrix4(m) { const me = m.elements; this.set(me[0], me[4], me[8], me[1], me[5], me[9], me[2], me[6], me[10]); return this; } multiply(m) { return this.multiplyMatrices(this, m); } premultiply(m) { return this.multiplyMatrices(m, this); } multiplyMatrices(a, b) { const ae = a.elements; const be = b.elements; const te = this.elements; const a11 = ae[0], a12 = ae[3], a13 = ae[6]; const a21 = ae[1], a22 = ae[4], a23 = ae[7]; const a31 = ae[2], a32 = ae[5], a33 = ae[8]; const b11 = be[0], b12 = be[3], b13 = be[6]; const b21 = be[1], b22 = be[4], b23 = be[7]; const b31 = be[2], b32 = be[5], b33 = be[8]; te[0] = a11 * b11 + a12 * b21 + a13 * b31; te[3] = a11 * b12 + a12 * b22 + a13 * b32; te[6] = a11 * b13 + a12 * b23 + a13 * b33; te[1] = a21 * b11 + a22 * b21 + a23 * b31; te[4] = a21 * b12 + a22 * b22 + a23 * b32; te[7] = a21 * b13 + a22 * b23 + a23 * b33; te[2] = a31 * b11 + a32 * b21 + a33 * b31; te[5] = a31 * b12 + a32 * b22 + a33 * b32; te[8] = a31 * b13 + a32 * b23 + a33 * b33; return this; } multiplyScalar(s) { const te = this.elements; te[0] *= s; te[3] *= s; te[6] *= s; te[1] *= s; te[4] *= s; te[7] *= s; te[2] *= s; te[5] *= s; te[8] *= s; return this; } determinant() { const te = this.elements; const a = te[0], b = te[1], c = te[2], d = te[3], e = te[4], f = te[5], g = te[6], h = te[7], i = te[8]; return a * e * i - a * f * h - b * d * i + b * f * g + c * d * h - c * e * g; } invert() { const te = this.elements, n11 = te[0], n21 = te[1], n31 = te[2], n12 = te[3], n22 = te[4], n32 = te[5], n13 = te[6], n23 = te[7], n33 = te[8], t11 = n33 * n22 - n32 * n23, t12 = n32 * n13 - n33 * n12, t13 = n23 * n12 - n22 * n13, det = n11 * t11 + n21 * t12 + n31 * t13; if (det === 0) return this.set(0, 0, 0, 0, 0, 0, 0, 0, 0); const detInv = 1 / det; te[0] = t11 * detInv; te[1] = (n31 * n23 - n33 * n21) * detInv; te[2] = (n32 * n21 - n31 * n22) * detInv; te[3] = t12 * detInv; te[4] = (n33 * n11 - n31 * n13) * detInv; te[5] = (n31 * n12 - n32 * n11) * detInv; te[6] = t13 * detInv; te[7] = (n21 * n13 - n23 * n11) * detInv; te[8] = (n22 * n11 - n21 * n12) * detInv; return this; } transpose() { let tmp; const m = this.elements; tmp = m[1]; m[1] = m[3]; m[3] = tmp; tmp = m[2]; m[2] = m[6]; m[6] = tmp; tmp = m[5]; m[5] = m[7]; m[7] = tmp; return this; } getNormalMatrix(matrix4) { return this.setFromMatrix4(matrix4).invert().transpose(); } transposeIntoArray(r) { const m = this.elements; r[0] = m[0]; r[1] = m[3]; r[2] = m[6]; r[3] = m[1]; r[4] = m[4]; r[5] = m[7]; r[6] = m[2]; r[7] = m[5]; r[8] = m[8]; return this; } setUvTransform(tx, ty, sx, sy, rotation, cx, cy) { const c = Math.cos(rotation); const s = Math.sin(rotation); this.set(sx * c, sx * s, -sx * (c * cx + s * cy) + cx + tx, -sy * s, sy * c, -sy * (-s * cx + c * cy) + cy + ty, 0, 0, 1); return this; } scale(sx, sy) { const te = this.elements; te[0] *= sx; te[3] *= sx; te[6] *= sx; te[1] *= sy; te[4] *= sy; te[7] *= sy; return this; } rotate(theta) { const c = Math.cos(theta); const s = Math.sin(theta); const te = this.elements; const a11 = te[0], a12 = te[3], a13 = te[6]; const a21 = te[1], a22 = te[4], a23 = te[7]; te[0] = c * a11 + s * a21; te[3] = c * a12 + s * a22; te[6] = c * a13 + s * a23; te[1] = -s * a11 + c * a21; te[4] = -s * a12 + c * a22; te[7] = -s * a13 + c * a23; return this; } translate(tx, ty) { const te = this.elements; te[0] += tx * te[2]; te[3] += tx * te[5]; te[6] += tx * te[8]; te[1] += ty * te[2]; te[4] += ty * te[5]; te[7] += ty * te[8]; return this; } equals(matrix) { const te = this.elements; const me = matrix.elements; for (let i = 0; i < 9; i++) { if (te[i] !== me[i]) return false; } return true; } fromArray(array, offset = 0) { for (let i = 0; i < 9; i++) { this.elements[i] = array[i + offset]; } return this; } toArray(array = [], offset = 0) { const te = this.elements; array[offset] = te[0]; array[offset + 1] = te[1]; array[offset + 2] = te[2]; array[offset + 3] = te[3]; array[offset + 4] = te[4]; array[offset + 5] = te[5]; array[offset + 6] = te[6]; array[offset + 7] = te[7]; array[offset + 8] = te[8]; return array; } clone() { return new this.constructor().fromArray(this.elements); } } Matrix3.prototype.isMatrix3 = true; let _canvas; class ImageUtils { static getDataURL(image) { if (/^data:/i.test(image.src)) { return image.src; } if (typeof HTMLCanvasElement == 'undefined') { return image.src; } let canvas; if (image instanceof HTMLCanvasElement) { canvas = image; } else { if (_canvas === undefined) _canvas = document.createElementNS('http://www.w3.org/1999/xhtml', 'canvas'); _canvas.width = image.width; _canvas.height = image.height; const context = _canvas.getContext('2d'); if (image instanceof ImageData) { context.putImageData(image, 0, 0); } else { context.drawImage(image, 0, 0, image.width, image.height); } canvas = _canvas; } if (canvas.width > 2048 || canvas.height > 2048) { console.warn('THREE.ImageUtils.getDataURL: Image converted to jpg for performance reasons', image); return canvas.toDataURL('image/jpeg', 0.6); } else { return canvas.toDataURL('image/png'); } } } let textureId = 0; class Texture extends EventDispatcher { constructor(image = Texture.DEFAULT_IMAGE, mapping = Texture.DEFAULT_MAPPING, wrapS = ClampToEdgeWrapping, wrapT = ClampToEdgeWrapping, magFilter = LinearFilter, minFilter = LinearMipmapLinearFilter, format = RGBAFormat, type = UnsignedByteType, anisotropy = 1, encoding = LinearEncoding) { super(); Object.defineProperty(this, 'id', { value: textureId++ }); this.uuid = generateUUID(); this.name = ''; this.image = image; this.mipmaps = []; this.mapping = mapping; this.wrapS = wrapS; this.wrapT = wrapT; this.magFilter = magFilter; this.minFilter = minFilter; this.anisotropy = anisotropy; this.format = format; this.internalFormat = null; this.type = type; this.offset = new Vector2(0, 0); this.repeat = new Vector2(1, 1); this.center = new Vector2(0, 0); this.rotation = 0; this.matrixAutoUpdate = true; this.matrix = new Matrix3(); this.generateMipmaps = true; this.premultiplyAlpha = false; this.flipY = true; this.unpackAlignment = 4; // valid values: 1, 2, 4, 8 (see http://www.khronos.org/opengles/sdk/docs/man/xhtml/glPixelStorei.xml) // Values of encoding !== THREE.LinearEncoding only supported on map, envMap and emissiveMap. // // Also changing the encoding after already used by a Material will not automatically make the Material // update. You need to explicitly call Material.needsUpdate to trigger it to recompile. this.encoding = encoding; this.version = 0; this.onUpdate = null; } updateMatrix() { this.matrix.setUvTransform(this.offset.x, this.offset.y, this.repeat.x, this.repeat.y, this.rotation, this.center.x, this.center.y); } clone() { return new this.constructor().copy(this); } copy(source) { this.name = source.name; this.image = source.image; this.mipmaps = source.mipmaps.slice(0); this.mapping = source.mapping; this.wrapS = source.wrapS; this.wrapT = source.wrapT; this.magFilter = source.magFilter; this.minFilter = source.minFilter; this.anisotropy = source.anisotropy; this.format = source.format; this.internalFormat = source.internalFormat; this.type = source.type; this.offset.copy(source.offset); this.repeat.copy(source.repeat); this.center.copy(source.center); this.rotation = source.rotation; this.matrixAutoUpdate = source.matrixAutoUpdate; this.matrix.copy(source.matrix); this.generateMipmaps = source.generateMipmaps; this.premultiplyAlpha = source.premultiplyAlpha; this.flipY = source.flipY; this.unpackAlignment = source.unpackAlignment; this.encoding = source.encoding; return this; } toJSON(meta) { const isRootObject = meta === undefined || typeof meta === 'string'; if (!isRootObject && meta.textures[this.uuid] !== undefined) { return meta.textures[this.uuid]; } const output = { metadata: { version: 4.5, type: 'Texture', generator: 'Texture.toJSON' }, uuid: this.uuid, name: this.name, mapping: this.mapping, repeat: [this.repeat.x, this.repeat.y], offset: [this.offset.x, this.offset.y], center: [this.center.x, this.center.y], rotation: this.rotation, wrap: [this.wrapS, this.wrapT], format: this.format, type: this.type, encoding: this.encoding, minFilter: this.minFilter, magFilter: this.magFilter, anisotropy: this.anisotropy, flipY: this.flipY, premultiplyAlpha: this.premultiplyAlpha, unpackAlignment: this.unpackAlignment }; if (this.image !== undefined) { // TODO: Move to THREE.Image const image = this.image; if (image.uuid === undefined) { image.uuid = generateUUID(); // UGH } if (!isRootObject && meta.images[image.uuid] === undefined) { let url; if (Array.isArray(image)) { // process array of images e.g. CubeTexture url = []; for (let i = 0, l = image.length; i < l; i++) { // check cube texture with data textures if (image[i].isDataTexture) { url.push(serializeImage(image[i].image)); } else { url.push(serializeImage(image[i])); } } } else { // process single image url = serializeImage(image); } meta.images[image.uuid] = { uuid: image.uuid, url: url }; } output.image = image.uuid; } if (!isRootObject) { meta.textures[this.uuid] = output; } return output; } dispose() { this.dispatchEvent({ type: 'dispose' }); } transformUv(uv) { if (this.mapping !== UVMapping) return uv; uv.applyMatrix3(this.matrix); if (uv.x < 0 || uv.x > 1) { switch (this.wrapS) { case RepeatWrapping: uv.x = uv.x - Math.floor(uv.x); break; case ClampToEdgeWrapping: uv.x = uv.x < 0 ? 0 : 1; break; case MirroredRepeatWrapping: if (Math.abs(Math.floor(uv.x) % 2) === 1) { uv.x = Math.ceil(uv.x) - uv.x; } else { uv.x = uv.x - Math.floor(uv.x); } break; } } if (uv.y < 0 || uv.y > 1) { switch (this.wrapT) { case RepeatWrapping: uv.y = uv.y - Math.floor(uv.y); break; case ClampToEdgeWrapping: uv.y = uv.y < 0 ? 0 : 1; break; case MirroredRepeatWrapping: if (Math.abs(Math.floor(uv.y) % 2) === 1) { uv.y = Math.ceil(uv.y) - uv.y; } else { uv.y = uv.y - Math.floor(uv.y); } break; } } if (this.flipY) { uv.y = 1 - uv.y; } return uv; } set needsUpdate(value) { if (value === true) this.version++; } } Texture.DEFAULT_IMAGE = undefined; Texture.DEFAULT_MAPPING = UVMapping; Texture.prototype.isTexture = true; function serializeImage(image) { if (typeof HTMLImageElement !== 'undefined' && image instanceof HTMLImageElement || typeof HTMLCanvasElement !== 'undefined' && image instanceof HTMLCanvasElement || typeof ImageBitmap !== 'undefined' && image instanceof ImageBitmap) { // default images return ImageUtils.getDataURL(image); } else { if (image.data) { // images of DataTexture return { data: Array.prototype.slice.call(image.data), width: image.width, height: image.height, type: image.data.constructor.name }; } else { console.warn('THREE.Texture: Unable to serialize Texture.'); return {}; } } } class Vector4 { constructor(x = 0, y = 0, z = 0, w = 1) { this.x = x; this.y = y; this.z = z; this.w = w; } get width() { return this.z; } set width(value) { this.z = value; } get height() { return this.w; } set height(value) { this.w = value; } set(x, y, z, w) { this.x = x; this.y = y; this.z = z; this.w = w; return this; } setScalar(scalar) { this.x = scalar; this.y = scalar; this.z = scalar; this.w = scalar; return this; } setX(x) { this.x = x; return this; } setY(y) { this.y = y; return this; } setZ(z) { this.z = z; return this; } setW(w) { this.w = w; return this; } setComponent(index, value) { switch (index) { case 0: this.x = value; break; case 1: this.y = value; break; case 2: this.z = value; break; case 3: this.w = value; break; default: throw new Error('index is out of range: ' + index); } return this; } getComponent(index) { switch (index) { case 0: return this.x; case 1: return this.y; case 2: return this.z; case 3: return this.w; default: throw new Error('index is out of range: ' + index); } } clone() { return new this.constructor(this.x, this.y, this.z, this.w); } copy(v) { this.x = v.x; this.y = v.y; this.z = v.z; this.w = v.w !== undefined ? v.w : 1; return this; } add(v, w) { if (w !== undefined) { console.warn('THREE.Vector4: .add() now only accepts one argument. Use .addVectors( a, b ) instead.'); return this.addVectors(v, w); } this.x += v.x; this.y += v.y; this.z += v.z; this.w += v.w; return this; } addScalar(s) { this.x += s; this.y += s; this.z += s; this.w += s; return this; } addVectors(a, b) { this.x = a.x + b.x; this.y = a.y + b.y; this.z = a.z + b.z; this.w = a.w + b.w; return this; } addScaledVector(v, s) { this.x += v.x * s; this.y += v.y * s; this.z += v.z * s; this.w += v.w * s; return this; } sub(v, w) { if (w !== undefined) { console.warn('THREE.Vector4: .sub() now only accepts one argument. Use .subVectors( a, b ) instead.'); return this.subVectors(v, w); } this.x -= v.x; this.y -= v.y; this.z -= v.z; this.w -= v.w; return this; } subScalar(s) { this.x -= s; this.y -= s; this.z -= s; this.w -= s; return this; } subVectors(a, b) { this.x = a.x - b.x; this.y = a.y - b.y; this.z = a.z - b.z; this.w = a.w - b.w; return this; } multiply(v) { this.x *= v.x; this.y *= v.y; this.z *= v.z; this.w *= v.w; return this; } multiplyScalar(scalar) { this.x *= scalar; this.y *= scalar; this.z *= scalar; this.w *= scalar; return this; } applyMatrix4(m) { const x = this.x, y = this.y, z = this.z, w = this.w; const e = m.elements; this.x = e[0] * x + e[4] * y + e[8] * z + e[12] * w; this.y = e[1] * x + e[5] * y + e[9] * z + e[13] * w; this.z = e[2] * x + e[6] * y + e[10] * z + e[14] * w; this.w = e[3] * x + e[7] * y + e[11] * z + e[15] * w; return this; } divideScalar(scalar) { return this.multiplyScalar(1 / scalar); } setAxisAngleFromQuaternion(q) { // http://www.euclideanspace.com/maths/geometry/rotations/conversions/quaternionToAngle/index.htm // q is assumed to be normalized this.w = 2 * Math.acos(q.w); const s = Math.sqrt(1 - q.w * q.w); if (s < 0.0001) { this.x = 1; this.y = 0; this.z = 0; } else { this.x = q.x / s; this.y = q.y / s; this.z = q.z / s; } return this; } setAxisAngleFromRotationMatrix(m) { // http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToAngle/index.htm // assumes the upper 3x3 of m is a pure rotation matrix (i.e, unscaled) let angle, x, y, z; // variables for result const epsilon = 0.01, // margin to allow for rounding errors epsilon2 = 0.1, // margin to distinguish between 0 and 180 degrees te = m.elements, m11 = te[0], m12 = te[4], m13 = te[8], m21 = te[1], m22 = te[5], m23 = te[9], m31 = te[2], m32 = te[6], m33 = te[10]; if (Math.abs(m12 - m21) < epsilon && Math.abs(m13 - m31) < epsilon && Math.abs(m23 - m32) < epsilon) { // singularity found // first check for identity matrix which must have +1 for all terms // in leading diagonal and zero in other terms if (Math.abs(m12 + m21) < epsilon2 && Math.abs(m13 + m31) < epsilon2 && Math.abs(m23 + m32) < epsilon2 && Math.abs(m11 + m22 + m33 - 3) < epsilon2) { // this singularity is identity matrix so angle = 0 this.set(1, 0, 0, 0); return this; // zero angle, arbitrary axis } // otherwise this singularity is angle = 180 angle = Math.PI; const xx = (m11 + 1) / 2; const yy = (m22 + 1) / 2; const zz = (m33 + 1) / 2; const xy = (m12 + m21) / 4; const xz = (m13 + m31) / 4; const yz = (m23 + m32) / 4; if (xx > yy && xx > zz) { // m11 is the largest diagonal term if (xx < epsilon) { x = 0; y = 0.707106781; z = 0.707106781; } else { x = Math.sqrt(xx); y = xy / x; z = xz / x; } } else if (yy > zz) { // m22 is the largest diagonal term if (yy < epsilon) { x = 0.707106781; y = 0; z = 0.707106781; } else { y = Math.sqrt(yy); x = xy / y; z = yz / y; } } else { // m33 is the largest diagonal term so base result on this if (zz < epsilon) { x = 0.707106781; y = 0.707106781; z = 0; } else { z = Math.sqrt(zz); x = xz / z; y = yz / z; } } this.set(x, y, z, angle); return this; // return 180 deg rotation } // as we have reached here there are no singularities so we can handle normally let s = Math.sqrt((m32 - m23) * (m32 - m23) + (m13 - m31) * (m13 - m31) + (m21 - m12) * (m21 - m12)); // used to normalize if (Math.abs(s) < 0.001) s = 1; // prevent divide by zero, should not happen if matrix is orthogonal and should be // caught by singularity test above, but I've left it in just in case this.x = (m32 - m23) / s; this.y = (m13 - m31) / s; this.z = (m21 - m12) / s; this.w = Math.acos((m11 + m22 + m33 - 1) / 2); return this; } min(v) { this.x = Math.min(this.x, v.x); this.y = Math.min(this.y, v.y); this.z = Math.min(this.z, v.z); this.w = Math.min(this.w, v.w); return this; } max(v) { this.x = Math.max(this.x, v.x); this.y = Math.max(this.y, v.y); this.z = Math.max(this.z, v.z); this.w = Math.max(this.w, v.w); return this; } clamp(min, max) { // assumes min < max, componentwise this.x = Math.max(min.x, Math.min(max.x, this.x)); this.y = Math.max(min.y, Math.min(max.y, this.y)); this.z = Math.max(min.z, Math.min(max.z, this.z)); this.w = Math.max(min.w, Math.min(max.w, this.w)); return this; } clampScalar(minVal, maxVal) { this.x = Math.max(minVal, Math.min(maxVal, this.x)); this.y = Math.max(minVal, Math.min(maxVal, this.y)); this.z = Math.max(minVal, Math.min(maxVal, this.z)); this.w = Math.max(minVal, Math.min(maxVal, this.w)); return this; } clampLength(min, max) { const length = this.length(); return this.divideScalar(length || 1).multiplyScalar(Math.max(min, Math.min(max, length))); } floor() { this.x = Math.floor(this.x); this.y = Math.floor(this.y); this.z = Math.floor(this.z); this.w = Math.floor(this.w); return this; } ceil() { this.x = Math.ceil(this.x); this.y = Math.ceil(this.y); this.z = Math.ceil(this.z); this.w = Math.ceil(this.w); return this; } round() { this.x = Math.round(this.x); this.y = Math.round(this.y); this.z = Math.round(this.z); this.w = Math.round(this.w); return this; } roundToZero() { this.x = this.x < 0 ? Math.ceil(this.x) : Math.floor(this.x); this.y = this.y < 0 ? Math.ceil(this.y) : Math.floor(this.y); this.z = this.z < 0 ? Math.ceil(this.z) : Math.floor(this.z); this.w = this.w < 0 ? Math.ceil(this.w) : Math.floor(this.w); return this; } negate() { this.x = -this.x; this.y = -this.y; this.z = -this.z; this.w = -this.w; return this; } dot(v) { return this.x * v.x + this.y * v.y + this.z * v.z + this.w * v.w; } lengthSq() { return this.x * this.x + this.y * this.y + this.z * this.z + this.w * this.w; } length() { return Math.sqrt(this.x * this.x + this.y * this.y + this.z * this.z + this.w * this.w); } manhattanLength() { return Math.abs(this.x) + Math.abs(this.y) + Math.abs(this.z) + Math.abs(this.w); } normalize() { return this.divideScalar(this.length() || 1); } setLength(length) { return this.normalize().multiplyScalar(length); } lerp(v, alpha) { this.x += (v.x - this.x) * alpha; this.y += (v.y - this.y) * alpha; this.z += (v.z - this.z) * alpha; this.w += (v.w - this.w) * alpha; return this; } lerpVectors(v1, v2, alpha) { this.x = v1.x + (v2.x - v1.x) * alpha; this.y = v1.y + (v2.y - v1.y) * alpha; this.z = v1.z + (v2.z - v1.z) * alpha; this.w = v1.w + (v2.w - v1.w) * alpha; return this; } equals(v) { return v.x === this.x && v.y === this.y && v.z === this.z && v.w === this.w; } fromArray(array, offset = 0) { this.x = array[offset]; this.y = array[offset + 1]; this.z = array[offset + 2]; this.w = array[offset + 3]; return this; } toArray(array = [], offset = 0) { array[offset] = this.x; array[offset + 1] = this.y; array[offset + 2] = this.z; array[offset + 3] = this.w; return array; } fromBufferAttribute(attribute, index, offset) { if (offset !== undefined) { console.warn('THREE.Vector4: offset has been removed from .fromBufferAttribute().'); } this.x = attribute.getX(index); this.y = attribute.getY(index); this.z = attribute.getZ(index); this.w = attribute.getW(index); return this; } random() { this.x = Math.random(); this.y = Math.random(); this.z = Math.random(); this.w = Math.random(); return this; } } Vector4.prototype.isVector4 = true; /* In options, we can specify: * Texture parameters for an auto-generated target texture * depthBuffer/stencilBuffer: Booleans to indicate if we should generate these buffers */ class WebGLRenderTarget extends EventDispatcher { constructor(width, height, options = {}) { super(); this.width = width; this.height = height; this.depth = 1; this.scissor = new Vector4(0, 0, width, height); this.scissorTest = false; this.viewport = new Vector4(0, 0, width, height); this.texture = new Texture(undefined, options.mapping, options.wrapS, options.wrapT, options.magFilter, options.minFilter, options.format, options.type, options.anisotropy, options.encoding); this.texture.image = { width: width, height: height, depth: 1 }; this.texture.generateMipmaps = options.generateMipmaps !== undefined ? options.generateMipmaps : false; this.texture.minFilter = options.minFilter !== undefined ? options.minFilter : LinearFilter; this.depthBuffer = options.depthBuffer !== undefined ? options.depthBuffer : true; this.stencilBuffer = options.stencilBuffer !== undefined ? options.stencilBuffer : false; this.depthTexture = options.depthTexture !== undefined ? options.depthTexture : null; } setTexture(texture) { texture.image = { width: this.width, height: this.height, depth: this.depth }; this.texture = texture; } setSize(width, height, depth = 1) { if (this.width !== width || this.height !== height || this.depth !== depth) { this.width = width; this.height = height; this.depth = depth; this.texture.image.width = width; this.texture.image.height = height; this.texture.image.depth = depth; this.dispose(); } this.viewport.set(0, 0, width, height); this.scissor.set(0, 0, width, height); } clone() { return new this.constructor().copy(this); } copy(source) { this.width = source.width; this.height = source.height; this.depth = source.depth; this.viewport.copy(source.viewport); this.texture = source.texture.clone(); this.texture.image = { ...this.texture.image }; // See #20328. this.depthBuffer = source.depthBuffer; this.stencilBuffer = source.stencilBuffer; this.depthTexture = source.depthTexture; return this; } dispose() { this.dispatchEvent({ type: 'dispose' }); } } WebGLRenderTarget.prototype.isWebGLRenderTarget = true; class WebGLMultipleRenderTargets extends WebGLRenderTarget { constructor(width, height, count) { super(width, height); const texture = this.texture; this.texture = []; for (let i = 0; i < count; i++) { this.texture[i] = texture.clone(); } } setSize(width, height, depth = 1) { if (this.width !== width || this.height !== height || this.depth !== depth) { this.width = width; this.height = height; this.depth = depth; for (let i = 0, il = this.texture.length; i < il; i++) { this.texture[i].image.width = width; this.texture[i].image.height = height; this.texture[i].image.depth = depth; } this.dispose(); } this.viewport.set(0, 0, width, height); this.scissor.set(0, 0, width, height); return this; } copy(source) { this.dispose(); this.width = source.width; this.height = source.height; this.depth = source.depth; this.viewport.set(0, 0, this.width, this.height); this.scissor.set(0, 0, this.width, this.height); this.depthBuffer = source.depthBuffer; this.stencilBuffer = source.stencilBuffer; this.depthTexture = source.depthTexture; this.texture.length = 0; for (let i = 0, il = source.texture.length; i < il; i++) { this.texture[i] = source.texture[i].clone(); } return this; } } WebGLMultipleRenderTargets.prototype.isWebGLMultipleRenderTargets = true; class WebGLMultisampleRenderTarget extends WebGLRenderTarget { constructor(width, height, options) { super(width, height, options); this.samples = 4; } copy(source) { super.copy.call(this, source); this.samples = source.samples; return this; } } WebGLMultisampleRenderTarget.prototype.isWebGLMultisampleRenderTarget = true; class Quaternion { constructor(x = 0, y = 0, z = 0, w = 1) { this._x = x; this._y = y; this._z = z; this._w = w; } static slerp(qa, qb, qm, t) { console.warn('THREE.Quaternion: Static .slerp() has been deprecated. Use qm.slerpQuaternions( qa, qb, t ) instead.'); return qm.slerpQuaternions(qa, qb, t); } static slerpFlat(dst, dstOffset, src0, srcOffset0, src1, srcOffset1, t) { // fuzz-free, array-based Quaternion SLERP operation let x0 = src0[srcOffset0 + 0], y0 = src0[srcOffset0 + 1], z0 = src0[srcOffset0 + 2], w0 = src0[srcOffset0 + 3]; const x1 = src1[srcOffset1 + 0], y1 = src1[srcOffset1 + 1], z1 = src1[srcOffset1 + 2], w1 = src1[srcOffset1 + 3]; if (t === 0) { dst[dstOffset + 0] = x0; dst[dstOffset + 1] = y0; dst[dstOffset + 2] = z0; dst[dstOffset + 3] = w0; return; } if (t === 1) { dst[dstOffset + 0] = x1; dst[dstOffset + 1] = y1; dst[dstOffset + 2] = z1; dst[dstOffset + 3] = w1; return; } if (w0 !== w1 || x0 !== x1 || y0 !== y1 || z0 !== z1) { let s = 1 - t; const cos = x0 * x1 + y0 * y1 + z0 * z1 + w0 * w1, dir = cos >= 0 ? 1 : -1, sqrSin = 1 - cos * cos; // Skip the Slerp for tiny steps to avoid numeric problems: if (sqrSin > Number.EPSILON) { const sin = Math.sqrt(sqrSin), len = Math.atan2(sin, cos * dir); s = Math.sin(s * len) / sin; t = Math.sin(t * len) / sin; } const tDir = t * dir; x0 = x0 * s + x1 * tDir; y0 = y0 * s + y1 * tDir; z0 = z0 * s + z1 * tDir; w0 = w0 * s + w1 * tDir; // Normalize in case we just did a lerp: if (s === 1 - t) { const f = 1 / Math.sqrt(x0 * x0 + y0 * y0 + z0 * z0 + w0 * w0); x0 *= f; y0 *= f; z0 *= f; w0 *= f; } } dst[dstOffset] = x0; dst[dstOffset + 1] = y0; dst[dstOffset + 2] = z0; dst[dstOffset + 3] = w0; } static multiplyQuaternionsFlat(dst, dstOffset, src0, srcOffset0, src1, srcOffset1) { const x0 = src0[srcOffset0]; const y0 = src0[srcOffset0 + 1]; const z0 = src0[srcOffset0 + 2]; const w0 = src0[srcOffset0 + 3]; const x1 = src1[srcOffset1]; const y1 = src1[srcOffset1 + 1]; const z1 = src1[srcOffset1 + 2]; const w1 = src1[srcOffset1 + 3]; dst[dstOffset] = x0 * w1 + w0 * x1 + y0 * z1 - z0 * y1; dst[dstOffset + 1] = y0 * w1 + w0 * y1 + z0 * x1 - x0 * z1; dst[dstOffset + 2] = z0 * w1 + w0 * z1 + x0 * y1 - y0 * x1; dst[dstOffset + 3] = w0 * w1 - x0 * x1