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CesiumJS is a JavaScript library for creating 3D globes and 2D maps in a web browser without a plugin.

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/** * @license * Cesium - https://github.com/CesiumGS/cesium * Version 1.142.0 * * Copyright 2011-2022 Cesium Contributors * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. * * Columbus View (Pat. Pend.) * * Portions licensed separately. * See https://github.com/CesiumGS/cesium/blob/main/LICENSE.md for full licensing details. */ import { RuntimeError_default } from "./chunk-Y5BF6AFU.js"; import { Cartesian3_default, Frozen_default, Matrix3_default } from "./chunk-MPZHGZU6.js"; import { Math_default } from "./chunk-J6BWOHUF.js"; import { Check_default, DeveloperError_default } from "./chunk-AYKR4VBR.js"; import { defined_default } from "./chunk-ZP7JMQV4.js"; // packages/engine/Source/Core/Cartesian4.js var Cartesian4 = class _Cartesian4 { /** * @param {number} [x=0.0] The X component. * @param {number} [y=0.0] The Y component. * @param {number} [z=0.0] The Z component. * @param {number} [w=0.0] The W component. */ constructor(x, y, z, w) { this.x = x ?? 0; this.y = y ?? 0; this.z = z ?? 0; this.w = w ?? 0; } /** * Creates a Cartesian4 instance from x, y, z and w coordinates. * * @param {number} x The x coordinate. * @param {number} y The y coordinate. * @param {number} z The z coordinate. * @param {number} w The w coordinate. * @param {Cartesian4} [result] The object onto which to store the result. * @returns {Cartesian4} The modified result parameter or a new Cartesian4 instance if one was not provided. */ static fromElements(x, y, z, w, result) { if (!defined_default(result)) { return new _Cartesian4(x, y, z, w); } result.x = x; result.y = y; result.z = z; result.w = w; return result; } /** * Creates a Cartesian4 instance from a {@link Color}. <code>red</code>, <code>green</code>, <code>blue</code>, * and <code>alpha</code> map to <code>x</code>, <code>y</code>, <code>z</code>, and <code>w</code>, respectively. * * @param {Color} color The source color. * @param {Cartesian4} [result] The object onto which to store the result. * @returns {Cartesian4} The modified result parameter or a new Cartesian4 instance if one was not provided. */ static fromColor(color, result) { Check_default.typeOf.object("color", color); if (!defined_default(result)) { return new _Cartesian4(color.red, color.green, color.blue, color.alpha); } result.x = color.red; result.y = color.green; result.z = color.blue; result.w = color.alpha; return result; } /** * Duplicates a Cartesian4 instance. * * @param {Cartesian4} cartesian The Cartesian to duplicate. * @param {Cartesian4} [result] The object onto which to store the result. * @returns {Cartesian4} The modified result parameter or a new Cartesian4 instance if one was not provided. (Returns undefined if cartesian is undefined) */ static clone(cartesian, result) { if (!defined_default(cartesian)) { return void 0; } if (!defined_default(result)) { return new _Cartesian4(cartesian.x, cartesian.y, cartesian.z, cartesian.w); } result.x = cartesian.x; result.y = cartesian.y; result.z = cartesian.z; result.w = cartesian.w; return result; } /** * Stores the provided instance into the provided array. * * @param {Cartesian4} value The value to pack. * @param {number[]} array The array to pack into. * @param {number} [startingIndex=0] The index into the array at which to start packing the elements. * * @returns {number[]} The array that was packed into */ static pack(value, array, startingIndex) { Check_default.typeOf.object("value", value); Check_default.defined("array", array); startingIndex = startingIndex ?? 0; array[startingIndex++] = value.x; array[startingIndex++] = value.y; array[startingIndex++] = value.z; array[startingIndex] = value.w; return array; } /** * Retrieves an instance from a packed array. * * @param {number[]} array The packed array. * @param {number} [startingIndex=0] The starting index of the element to be unpacked. * @param {Cartesian4} [result] The object into which to store the result. * @returns {Cartesian4} The modified result parameter or a new Cartesian4 instance if one was not provided. */ static unpack(array, startingIndex, result) { Check_default.defined("array", array); startingIndex = startingIndex ?? 0; if (!defined_default(result)) { result = new _Cartesian4(); } result.x = array[startingIndex++]; result.y = array[startingIndex++]; result.z = array[startingIndex++]; result.w = array[startingIndex]; return result; } /** * Flattens an array of Cartesian4s into an array of components. * * @param {Cartesian4[]} array The array of cartesians to pack. * @param {number[]} [result] The array onto which to store the result. If this is a typed array, it must have array.length * 4 components, else a {@link DeveloperError} will be thrown. If it is a regular array, it will be resized to have (array.length * 4) elements. * @returns {number[]} The packed array. */ static packArray(array, result) { Check_default.defined("array", array); const length = array.length; const resultLength = length * 4; if (!defined_default(result)) { result = new Array(resultLength); } else if (!Array.isArray(result) && result.length !== resultLength) { throw new DeveloperError_default( "If result is a typed array, it must have exactly array.length * 4 elements" ); } else if (result.length !== resultLength) { result.length = resultLength; } for (let i = 0; i < length; ++i) { _Cartesian4.pack(array[i], result, i * 4); } return result; } /** * Unpacks an array of cartesian components into an array of Cartesian4s. * * @param {number[]} array The array of components to unpack. * @param {Cartesian4[]} [result] The array onto which to store the result. * @returns {Cartesian4[]} The unpacked array. */ static unpackArray(array, result) { Check_default.defined("array", array); Check_default.typeOf.number.greaterThanOrEquals("array.length", array.length, 4); if (array.length % 4 !== 0) { throw new DeveloperError_default("array length must be a multiple of 4."); } const length = array.length; if (!defined_default(result)) { result = new Array(length / 4); } else { result.length = length / 4; } for (let i = 0; i < length; i += 4) { const index = i / 4; result[index] = _Cartesian4.unpack(array, i, result[index]); } return result; } /** * Computes the value of the maximum component for the supplied Cartesian. * * @param {Cartesian4} cartesian The cartesian to use. * @returns {number} The value of the maximum component. */ static maximumComponent(cartesian) { Check_default.typeOf.object("cartesian", cartesian); return Math.max(cartesian.x, cartesian.y, cartesian.z, cartesian.w); } /** * Computes the value of the minimum component for the supplied Cartesian. * * @param {Cartesian4} cartesian The cartesian to use. * @returns {number} The value of the minimum component. */ static minimumComponent(cartesian) { Check_default.typeOf.object("cartesian", cartesian); return Math.min(cartesian.x, cartesian.y, cartesian.z, cartesian.w); } /** * Compares two Cartesians and computes a Cartesian which contains the minimum components of the supplied Cartesians. * * @param {Cartesian4} first A cartesian to compare. * @param {Cartesian4} second A cartesian to compare. * @param {Cartesian4} result The object into which to store the result. * @returns {Cartesian4} A cartesian with the minimum components. */ static minimumByComponent(first, second, result) { Check_default.typeOf.object("first", first); Check_default.typeOf.object("second", second); Check_default.typeOf.object("result", result); result.x = Math.min(first.x, second.x); result.y = Math.min(first.y, second.y); result.z = Math.min(first.z, second.z); result.w = Math.min(first.w, second.w); return result; } /** * Compares two Cartesians and computes a Cartesian which contains the maximum components of the supplied Cartesians. * * @param {Cartesian4} first A cartesian to compare. * @param {Cartesian4} second A cartesian to compare. * @param {Cartesian4} result The object into which to store the result. * @returns {Cartesian4} A cartesian with the maximum components. */ static maximumByComponent(first, second, result) { Check_default.typeOf.object("first", first); Check_default.typeOf.object("second", second); Check_default.typeOf.object("result", result); result.x = Math.max(first.x, second.x); result.y = Math.max(first.y, second.y); result.z = Math.max(first.z, second.z); result.w = Math.max(first.w, second.w); return result; } /** * Constrain a value to lie between two values. * * @param {Cartesian4} value The value to clamp. * @param {Cartesian4} min The minimum bound. * @param {Cartesian4} max The maximum bound. * @param {Cartesian4} result The object into which to store the result. * @returns {Cartesian4} The clamped value such that min <= result <= max. */ static clamp(value, min, max, result) { Check_default.typeOf.object("value", value); Check_default.typeOf.object("min", min); Check_default.typeOf.object("max", max); Check_default.typeOf.object("result", result); const x = Math_default.clamp(value.x, min.x, max.x); const y = Math_default.clamp(value.y, min.y, max.y); const z = Math_default.clamp(value.z, min.z, max.z); const w = Math_default.clamp(value.w, min.w, max.w); result.x = x; result.y = y; result.z = z; result.w = w; return result; } /** * Computes the provided Cartesian's squared magnitude. * * @param {Cartesian4} cartesian The Cartesian instance whose squared magnitude is to be computed. * @returns {number} The squared magnitude. */ static magnitudeSquared(cartesian) { Check_default.typeOf.object("cartesian", cartesian); return cartesian.x * cartesian.x + cartesian.y * cartesian.y + cartesian.z * cartesian.z + cartesian.w * cartesian.w; } /** * Computes the Cartesian's magnitude (length). * * @param {Cartesian4} cartesian The Cartesian instance whose magnitude is to be computed. * @returns {number} The magnitude. */ static magnitude(cartesian) { return Math.sqrt(_Cartesian4.magnitudeSquared(cartesian)); } /** * Computes the 4-space distance between two points. * * @param {Cartesian4} left The first point to compute the distance from. * @param {Cartesian4} right The second point to compute the distance to. * @returns {number} The distance between two points. * * @example * // Returns 1.0 * const d = Cesium.Cartesian4.distance( * new Cesium.Cartesian4(1.0, 0.0, 0.0, 0.0), * new Cesium.Cartesian4(2.0, 0.0, 0.0, 0.0)); */ static distance(left, right) { Check_default.typeOf.object("left", left); Check_default.typeOf.object("right", right); _Cartesian4.subtract(left, right, distanceScratch); return _Cartesian4.magnitude(distanceScratch); } /** * Computes the squared distance between two points. Comparing squared distances * using this function is more efficient than comparing distances using {@link Cartesian4#distance}. * * @param {Cartesian4} left The first point to compute the distance from. * @param {Cartesian4} right The second point to compute the distance to. * @returns {number} The distance between two points. * * @example * // Returns 4.0, not 2.0 * const d = Cesium.Cartesian4.distance( * new Cesium.Cartesian4(1.0, 0.0, 0.0, 0.0), * new Cesium.Cartesian4(3.0, 0.0, 0.0, 0.0)); */ static distanceSquared(left, right) { Check_default.typeOf.object("left", left); Check_default.typeOf.object("right", right); _Cartesian4.subtract(left, right, distanceScratch); return _Cartesian4.magnitudeSquared(distanceScratch); } /** * Computes the normalized form of the supplied Cartesian. * * @param {Cartesian4} cartesian The Cartesian to be normalized. * @param {Cartesian4} result The object onto which to store the result. * @returns {Cartesian4} The modified result parameter. */ static normalize(cartesian, result) { Check_default.typeOf.object("cartesian", cartesian); Check_default.typeOf.object("result", result); const magnitude = _Cartesian4.magnitude(cartesian); result.x = cartesian.x / magnitude; result.y = cartesian.y / magnitude; result.z = cartesian.z / magnitude; result.w = cartesian.w / magnitude; if (isNaN(result.x) || isNaN(result.y) || isNaN(result.z) || isNaN(result.w)) { throw new DeveloperError_default("normalized result is not a number"); } return result; } /** * Computes the dot (scalar) product of two Cartesians. * * @param {Cartesian4} left The first Cartesian. * @param {Cartesian4} right The second Cartesian. * @returns {number} The dot product. */ static dot(left, right) { Check_default.typeOf.object("left", left); Check_default.typeOf.object("right", right); return left.x * right.x + left.y * right.y + left.z * right.z + left.w * right.w; } /** * Computes the componentwise product of two Cartesians. * * @param {Cartesian4} left The first Cartesian. * @param {Cartesian4} right The second Cartesian. * @param {Cartesian4} result The object onto which to store the result. * @returns {Cartesian4} The modified result parameter. */ static multiplyComponents(left, right, result) { Check_default.typeOf.object("left", left); Check_default.typeOf.object("right", right); Check_default.typeOf.object("result", result); result.x = left.x * right.x; result.y = left.y * right.y; result.z = left.z * right.z; result.w = left.w * right.w; return result; } /** * Computes the componentwise quotient of two Cartesians. * * @param {Cartesian4} left The first Cartesian. * @param {Cartesian4} right The second Cartesian. * @param {Cartesian4} result The object onto which to store the result. * @returns {Cartesian4} The modified result parameter. */ static divideComponents(left, right, result) { Check_default.typeOf.object("left", left); Check_default.typeOf.object("right", right); Check_default.typeOf.object("result", result); result.x = left.x / right.x; result.y = left.y / right.y; result.z = left.z / right.z; result.w = left.w / right.w; return result; } /** * Computes the componentwise sum of two Cartesians. * * @param {Cartesian4} left The first Cartesian. * @param {Cartesian4} right The second Cartesian. * @param {Cartesian4} result The object onto which to store the result. * @returns {Cartesian4} The modified result parameter. */ static add(left, right, result) { Check_default.typeOf.object("left", left); Check_default.typeOf.object("right", right); Check_default.typeOf.object("result", result); result.x = left.x + right.x; result.y = left.y + right.y; result.z = left.z + right.z; result.w = left.w + right.w; return result; } /** * Computes the componentwise difference of two Cartesians. * * @param {Cartesian4} left The first Cartesian. * @param {Cartesian4} right The second Cartesian. * @param {Cartesian4} result The object onto which to store the result. * @returns {Cartesian4} The modified result parameter. */ static subtract(left, right, result) { Check_default.typeOf.object("left", left); Check_default.typeOf.object("right", right); Check_default.typeOf.object("result", result); result.x = left.x - right.x; result.y = left.y - right.y; result.z = left.z - right.z; result.w = left.w - right.w; return result; } /** * Multiplies the provided Cartesian componentwise by the provided scalar. * * @param {Cartesian4} cartesian The Cartesian to be scaled. * @param {number} scalar The scalar to multiply with. * @param {Cartesian4} result The object onto which to store the result. * @returns {Cartesian4} The modified result parameter. */ static multiplyByScalar(cartesian, scalar, result) { Check_default.typeOf.object("cartesian", cartesian); Check_default.typeOf.number("scalar", scalar); Check_default.typeOf.object("result", result); result.x = cartesian.x * scalar; result.y = cartesian.y * scalar; result.z = cartesian.z * scalar; result.w = cartesian.w * scalar; return result; } /** * Divides the provided Cartesian componentwise by the provided scalar. * * @param {Cartesian4} cartesian The Cartesian to be divided. * @param {number} scalar The scalar to divide by. * @param {Cartesian4} result The object onto which to store the result. * @returns {Cartesian4} The modified result parameter. */ static divideByScalar(cartesian, scalar, result) { Check_default.typeOf.object("cartesian", cartesian); Check_default.typeOf.number("scalar", scalar); Check_default.typeOf.object("result", result); result.x = cartesian.x / scalar; result.y = cartesian.y / scalar; result.z = cartesian.z / scalar; result.w = cartesian.w / scalar; return result; } /** * Negates the provided Cartesian. * * @param {Cartesian4} cartesian The Cartesian to be negated. * @param {Cartesian4} result The object onto which to store the result. * @returns {Cartesian4} The modified result parameter. */ static negate(cartesian, result) { Check_default.typeOf.object("cartesian", cartesian); Check_default.typeOf.object("result", result); result.x = -cartesian.x; result.y = -cartesian.y; result.z = -cartesian.z; result.w = -cartesian.w; return result; } /** * Computes the absolute value of the provided Cartesian. * * @param {Cartesian4} cartesian The Cartesian whose absolute value is to be computed. * @param {Cartesian4} result The object onto which to store the result. * @returns {Cartesian4} The modified result parameter. */ static abs(cartesian, result) { Check_default.typeOf.object("cartesian", cartesian); Check_default.typeOf.object("result", result); result.x = Math.abs(cartesian.x); result.y = Math.abs(cartesian.y); result.z = Math.abs(cartesian.z); result.w = Math.abs(cartesian.w); return result; } /** * Computes the linear interpolation or extrapolation at t using the provided cartesians. * * @param {Cartesian4} start The value corresponding to t at 0.0. * @param {Cartesian4}end The value corresponding to t at 1.0. * @param {number} t The point along t at which to interpolate. * @param {Cartesian4} result The object onto which to store the result. * @returns {Cartesian4} The modified result parameter. */ static lerp(start, end, t, result) { Check_default.typeOf.object("start", start); Check_default.typeOf.object("end", end); Check_default.typeOf.number("t", t); Check_default.typeOf.object("result", result); _Cartesian4.multiplyByScalar(end, t, lerpScratch); result = _Cartesian4.multiplyByScalar(start, 1 - t, result); return _Cartesian4.add(lerpScratch, result, result); } /** * Returns the axis that is most orthogonal to the provided Cartesian. * * @param {Cartesian4} cartesian The Cartesian on which to find the most orthogonal axis. * @param {Cartesian4} result The object onto which to store the result. * @returns {Cartesian4} The most orthogonal axis. */ static mostOrthogonalAxis(cartesian, result) { Check_default.typeOf.object("cartesian", cartesian); Check_default.typeOf.object("result", result); const f = _Cartesian4.normalize(cartesian, mostOrthogonalAxisScratch); _Cartesian4.abs(f, f); if (f.x <= f.y) { if (f.x <= f.z) { if (f.x <= f.w) { result = _Cartesian4.clone(_Cartesian4.UNIT_X, result); } else { result = _Cartesian4.clone(_Cartesian4.UNIT_W, result); } } else if (f.z <= f.w) { result = _Cartesian4.clone(_Cartesian4.UNIT_Z, result); } else { result = _Cartesian4.clone(_Cartesian4.UNIT_W, result); } } else if (f.y <= f.z) { if (f.y <= f.w) { result = _Cartesian4.clone(_Cartesian4.UNIT_Y, result); } else { result = _Cartesian4.clone(_Cartesian4.UNIT_W, result); } } else if (f.z <= f.w) { result = _Cartesian4.clone(_Cartesian4.UNIT_Z, result); } else { result = _Cartesian4.clone(_Cartesian4.UNIT_W, result); } return result; } /** * Compares the provided Cartesians componentwise and returns * <code>true</code> if they are equal, <code>false</code> otherwise. * * @param {Cartesian4} [left] The first Cartesian. * @param {Cartesian4} [right] The second Cartesian. * @returns {boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise. */ static equals(left, right) { return left === right || defined_default(left) && defined_default(right) && left.x === right.x && left.y === right.y && left.z === right.z && left.w === right.w; } /** * @param {Cartesian4} cartesian * @param {number[]} array * @param {number} offset * @ignore */ static equalsArray(cartesian, array, offset) { return cartesian.x === array[offset] && cartesian.y === array[offset + 1] && cartesian.z === array[offset + 2] && cartesian.w === array[offset + 3]; } /** * Compares the provided Cartesians componentwise and returns * <code>true</code> if they pass an absolute or relative tolerance test, * <code>false</code> otherwise. * * @param {Cartesian4} [left] The first Cartesian. * @param {Cartesian4} [right] The second Cartesian. * @param {number} [relativeEpsilon=0] The relative epsilon tolerance to use for equality testing. * @param {number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing. * @returns {boolean} <code>true</code> if left and right are within the provided epsilon, <code>false</code> otherwise. */ static equalsEpsilon(left, right, relativeEpsilon, absoluteEpsilon) { return left === right || defined_default(left) && defined_default(right) && Math_default.equalsEpsilon( left.x, right.x, relativeEpsilon, absoluteEpsilon ) && Math_default.equalsEpsilon( left.y, right.y, relativeEpsilon, absoluteEpsilon ) && Math_default.equalsEpsilon( left.z, right.z, relativeEpsilon, absoluteEpsilon ) && Math_default.equalsEpsilon( left.w, right.w, relativeEpsilon, absoluteEpsilon ); } /** * Duplicates this Cartesian4 instance. * * @param {Cartesian4} [result] The object onto which to store the result. * @returns {Cartesian4} The modified result parameter or a new Cartesian4 instance if one was not provided. */ clone(result) { return _Cartesian4.clone(this, result); } /** * Compares this Cartesian against the provided Cartesian componentwise and returns * <code>true</code> if they are equal, <code>false</code> otherwise. * * @param {Cartesian4} [right] The right hand side Cartesian. * @returns {boolean} <code>true</code> if they are equal, <code>false</code> otherwise. */ equals(right) { return _Cartesian4.equals(this, right); } /** * Compares this Cartesian against the provided Cartesian componentwise and returns * <code>true</code> if they pass an absolute or relative tolerance test, * <code>false</code> otherwise. * * @param {Cartesian4} [right] The right hand side Cartesian. * @param {number} [relativeEpsilon=0] The relative epsilon tolerance to use for equality testing. * @param {number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing. * @returns {boolean} <code>true</code> if they are within the provided epsilon, <code>false</code> otherwise. */ equalsEpsilon(right, relativeEpsilon, absoluteEpsilon) { return _Cartesian4.equalsEpsilon( this, right, relativeEpsilon, absoluteEpsilon ); } /** * Creates a string representing this Cartesian in the format '(x, y, z, w)'. * * @returns {string} A string representing the provided Cartesian in the format '(x, y, z, w)'. */ toString() { return `(${this.x}, ${this.y}, ${this.z}, ${this.w})`; } /** * Packs an arbitrary floating point value to 4 values representable using uint8. * * @param {number} value A floating point number. * @param {Cartesian4} [result] The Cartesian4 that will contain the packed float. * @returns {Cartesian4} A Cartesian4 representing the float packed to values in x, y, z, and w. */ static packFloat(value, result) { Check_default.typeOf.number("value", value); if (!defined_default(result)) { result = new _Cartesian4(); } scratchF32Array[0] = value; if (littleEndian) { result.x = scratchU8Array[0]; result.y = scratchU8Array[1]; result.z = scratchU8Array[2]; result.w = scratchU8Array[3]; } else { result.x = scratchU8Array[3]; result.y = scratchU8Array[2]; result.z = scratchU8Array[1]; result.w = scratchU8Array[0]; } return result; } /** * Unpacks a float packed using Cartesian4.packFloat. * * @param {Cartesian4} packedFloat A Cartesian4 containing a float packed to 4 values representable using uint8. * @returns {number} The unpacked float. * @private */ static unpackFloat(packedFloat) { Check_default.typeOf.object("packedFloat", packedFloat); if (littleEndian) { scratchU8Array[0] = packedFloat.x; scratchU8Array[1] = packedFloat.y; scratchU8Array[2] = packedFloat.z; scratchU8Array[3] = packedFloat.w; } else { scratchU8Array[0] = packedFloat.w; scratchU8Array[1] = packedFloat.z; scratchU8Array[2] = packedFloat.y; scratchU8Array[3] = packedFloat.x; } return scratchF32Array[0]; } }; Cartesian4.packedLength = 4; Cartesian4.fromArray = Cartesian4.unpack; var distanceScratch = new Cartesian4(); var lerpScratch = new Cartesian4(); var mostOrthogonalAxisScratch = new Cartesian4(); Cartesian4.ZERO = Object.freeze(new Cartesian4(0, 0, 0, 0)); Cartesian4.ONE = Object.freeze(new Cartesian4(1, 1, 1, 1)); Cartesian4.UNIT_X = Object.freeze(new Cartesian4(1, 0, 0, 0)); Cartesian4.UNIT_Y = Object.freeze(new Cartesian4(0, 1, 0, 0)); Cartesian4.UNIT_Z = Object.freeze(new Cartesian4(0, 0, 1, 0)); Cartesian4.UNIT_W = Object.freeze(new Cartesian4(0, 0, 0, 1)); var scratchF32Array = new Float32Array(1); var scratchU8Array = new Uint8Array(scratchF32Array.buffer); var testU32 = new Uint32Array([287454020]); var testU8 = new Uint8Array(testU32.buffer); var littleEndian = testU8[0] === 68; var Cartesian4_default = Cartesian4; // packages/engine/Source/Core/Matrix4.js var Matrix4 = class _Matrix4 { /** * @param {number} [column0Row0=0.0] The value for column 0, row 0. * @param {number} [column1Row0=0.0] The value for column 1, row 0. * @param {number} [column2Row0=0.0] The value for column 2, row 0. * @param {number} [column3Row0=0.0] The value for column 3, row 0. * @param {number} [column0Row1=0.0] The value for column 0, row 1. * @param {number} [column1Row1=0.0] The value for column 1, row 1. * @param {number} [column2Row1=0.0] The value for column 2, row 1. * @param {number} [column3Row1=0.0] The value for column 3, row 1. * @param {number} [column0Row2=0.0] The value for column 0, row 2. * @param {number} [column1Row2=0.0] The value for column 1, row 2. * @param {number} [column2Row2=0.0] The value for column 2, row 2. * @param {number} [column3Row2=0.0] The value for column 3, row 2. * @param {number} [column0Row3=0.0] The value for column 0, row 3. * @param {number} [column1Row3=0.0] The value for column 1, row 3. * @param {number} [column2Row3=0.0] The value for column 2, row 3. * @param {number} [column3Row3=0.0] The value for column 3, row 3. */ constructor(column0Row0, column1Row0, column2Row0, column3Row0, column0Row1, column1Row1, column2Row1, column3Row1, column0Row2, column1Row2, column2Row2, column3Row2, column0Row3, column1Row3, column2Row3, column3Row3) { this[0] = column0Row0 ?? 0; this[1] = column0Row1 ?? 0; this[2] = column0Row2 ?? 0; this[3] = column0Row3 ?? 0; this[4] = column1Row0 ?? 0; this[5] = column1Row1 ?? 0; this[6] = column1Row2 ?? 0; this[7] = column1Row3 ?? 0; this[8] = column2Row0 ?? 0; this[9] = column2Row1 ?? 0; this[10] = column2Row2 ?? 0; this[11] = column2Row3 ?? 0; this[12] = column3Row0 ?? 0; this[13] = column3Row1 ?? 0; this[14] = column3Row2 ?? 0; this[15] = column3Row3 ?? 0; } /** * Stores the provided instance into the provided array. * * @param {Matrix4} value The value to pack. * @param {number[]} array The array to pack into. * @param {number} [startingIndex=0] The index into the array at which to start packing the elements. * * @returns {number[]} The array that was packed into */ static pack(value, array, startingIndex) { Check_default.typeOf.object("value", value); Check_default.defined("array", array); startingIndex = startingIndex ?? 0; array[startingIndex++] = value[0]; array[startingIndex++] = value[1]; array[startingIndex++] = value[2]; array[startingIndex++] = value[3]; array[startingIndex++] = value[4]; array[startingIndex++] = value[5]; array[startingIndex++] = value[6]; array[startingIndex++] = value[7]; array[startingIndex++] = value[8]; array[startingIndex++] = value[9]; array[startingIndex++] = value[10]; array[startingIndex++] = value[11]; array[startingIndex++] = value[12]; array[startingIndex++] = value[13]; array[startingIndex++] = value[14]; array[startingIndex] = value[15]; return array; } /** * Retrieves an instance from a packed array. * * @param {number[]} array The packed array. * @param {number} [startingIndex=0] The starting index of the element to be unpacked. * @param {Matrix4} [result] The object into which to store the result. * @returns {Matrix4} The modified result parameter or a new Matrix4 instance if one was not provided. */ static unpack(array, startingIndex, result) { Check_default.defined("array", array); startingIndex = startingIndex ?? 0; if (!defined_default(result)) { result = new _Matrix4(); } result[0] = array[startingIndex++]; result[1] = array[startingIndex++]; result[2] = array[startingIndex++]; result[3] = array[startingIndex++]; result[4] = array[startingIndex++]; result[5] = array[startingIndex++]; result[6] = array[startingIndex++]; result[7] = array[startingIndex++]; result[8] = array[startingIndex++]; result[9] = array[startingIndex++]; result[10] = array[startingIndex++]; result[11] = array[startingIndex++]; result[12] = array[startingIndex++]; result[13] = array[startingIndex++]; result[14] = array[startingIndex++]; result[15] = array[startingIndex]; return result; } /** * Flattens an array of Matrix4s into an array of components. The components * are stored in column-major order. * * @param {Matrix4[]} array The array of matrices to pack. * @param {number[]} [result] The array onto which to store the result. If this is a typed array, it must have array.length * 16 components, else a {@link DeveloperError} will be thrown. If it is a regular array, it will be resized to have (array.length * 16) elements. * @returns {number[]} The packed array. */ static packArray(array, result) { Check_default.defined("array", array); const length = array.length; const resultLength = length * 16; if (!defined_default(result)) { result = new Array(resultLength); } else if (!Array.isArray(result) && result.length !== resultLength) { throw new DeveloperError_default( "If result is a typed array, it must have exactly array.length * 16 elements" ); } else if (result.length !== resultLength) { result.length = resultLength; } for (let i = 0; i < length; ++i) { _Matrix4.pack(array[i], result, i * 16); } return result; } /** * Unpacks an array of column-major matrix components into an array of Matrix4s. * * @param {number[]} array The array of components to unpack. * @param {Matrix4[]} [result] The array onto which to store the result. * @returns {Matrix4[]} The unpacked array. */ static unpackArray(array, result) { Check_default.defined("array", array); Check_default.typeOf.number.greaterThanOrEquals("array.length", array.length, 16); if (array.length % 16 !== 0) { throw new DeveloperError_default("array length must be a multiple of 16."); } const length = array.length; if (!defined_default(result)) { result = new Array(length / 16); } else { result.length = length / 16; } for (let i = 0; i < length; i += 16) { const index = i / 16; result[index] = _Matrix4.unpack(array, i, result[index]); } return result; } /** * Duplicates a Matrix4 instance. * * @param {Matrix4} matrix The matrix to duplicate. * @param {Matrix4} [result] The object onto which to store the result. * @returns {Matrix4} The modified result parameter or a new Matrix4 instance if one was not provided. (Returns undefined if matrix is undefined) */ static clone(matrix, result) { if (!defined_default(matrix)) { return void 0; } if (!defined_default(result)) { return new _Matrix4( matrix[0], matrix[4], matrix[8], matrix[12], matrix[1], matrix[5], matrix[9], matrix[13], matrix[2], matrix[6], matrix[10], matrix[14], matrix[3], matrix[7], matrix[11], matrix[15] ); } result[0] = matrix[0]; result[1] = matrix[1]; result[2] = matrix[2]; result[3] = matrix[3]; result[4] = matrix[4]; result[5] = matrix[5]; result[6] = matrix[6]; result[7] = matrix[7]; result[8] = matrix[8]; result[9] = matrix[9]; result[10] = matrix[10]; result[11] = matrix[11]; result[12] = matrix[12]; result[13] = matrix[13]; result[14] = matrix[14]; result[15] = matrix[15]; return result; } /** * Computes a Matrix4 instance from a column-major order array. * * @param {number[]} values The column-major order array. * @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created. * @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided. */ static fromColumnMajorArray(values, result) { Check_default.defined("values", values); return _Matrix4.clone(values, result); } /** * Computes a Matrix4 instance from a row-major order array. * The resulting matrix will be in column-major order. * * @param {number[]} values The row-major order array. * @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created. * @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided. */ static fromRowMajorArray(values, result) { Check_default.defined("values", values); if (!defined_default(result)) { return new _Matrix4( values[0], values[1], values[2], values[3], values[4], values[5], values[6], values[7], values[8], values[9], values[10], values[11], values[12], values[13], values[14], values[15] ); } result[0] = values[0]; result[1] = values[4]; result[2] = values[8]; result[3] = values[12]; result[4] = values[1]; result[5] = values[5]; result[6] = values[9]; result[7] = values[13]; result[8] = values[2]; result[9] = values[6]; result[10] = values[10]; result[11] = values[14]; result[12] = values[3]; result[13] = values[7]; result[14] = values[11]; result[15] = values[15]; return result; } /** * Computes a Matrix4 instance from a Matrix3 representing the rotation * and a Cartesian3 representing the translation. * * @param {Matrix3} rotation The upper left portion of the matrix representing the rotation. * @param {Cartesian3} [translation=Cartesian3.ZERO] The upper right portion of the matrix representing the translation. * @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created. * @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided. */ static fromRotationTranslation(rotation, translation, result) { Check_default.typeOf.object("rotation", rotation); translation = translation ?? Cartesian3_default.ZERO; if (!defined_default(result)) { return new _Matrix4( rotation[0], rotation[3], rotation[6], translation.x, rotation[1], rotation[4], rotation[7], translation.y, rotation[2], rotation[5], rotation[8], translation.z, 0, 0, 0, 1 ); } result[0] = rotation[0]; result[1] = rotation[1]; result[2] = rotation[2]; result[3] = 0; result[4] = rotation[3]; result[5] = rotation[4]; result[6] = rotation[5]; result[7] = 0; result[8] = rotation[6]; result[9] = rotation[7]; result[10] = rotation[8]; result[11] = 0; result[12] = translation.x; result[13] = translation.y; result[14] = translation.z; result[15] = 1; return result; } /** * Computes a Matrix4 instance from a translation, rotation, and scale (TRS) * representation with the rotation represented as a quaternion. * * @param {Cartesian3} translation The translation transformation. * @param {Quaternion} rotation The rotation transformation. * @param {Cartesian3} scale The non-uniform scale transformation. * @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created. * @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided. * * @example * const result = Cesium.Matrix4.fromTranslationQuaternionRotationScale( * new Cesium.Cartesian3(1.0, 2.0, 3.0), // translation * Cesium.Quaternion.IDENTITY, // rotation * new Cesium.Cartesian3(7.0, 8.0, 9.0), // scale * result); */ static fromTranslationQuaternionRotationScale(translation, rotation, scale, result) { Check_default.typeOf.object("translation", translation); Check_default.typeOf.object("rotation", rotation); Check_default.typeOf.object("scale", scale); if (!defined_default(result)) { result = new _Matrix4(); } const scaleX = scale.x; const scaleY = scale.y; const scaleZ = scale.z; const x2 = rotation.x * rotation.x; const xy = rotation.x * rotation.y; const xz = rotation.x * rotation.z; const xw = rotation.x * rotation.w; const y2 = rotation.y * rotation.y; const yz = rotation.y * rotation.z; const yw = rotation.y * rotation.w; const z2 = rotation.z * rotation.z; const zw = rotation.z * rotation.w; const w2 = rotation.w * rotation.w; const m00 = x2 - y2 - z2 + w2; const m01 = 2 * (xy - zw); const m02 = 2 * (xz + yw); const m10 = 2 * (xy + zw); const m11 = -x2 + y2 - z2 + w2; const m12 = 2 * (yz - xw); const m20 = 2 * (xz - yw); const m21 = 2 * (yz + xw); const m22 = -x2 - y2 + z2 + w2; result[0] = m00 * scaleX; result[1] = m10 * scaleX; result[2] = m20 * scaleX; result[3] = 0; result[4] = m01 * scaleY; result[5] = m11 * scaleY; result[6] = m21 * scaleY; result[7] = 0; result[8] = m02 * scaleZ; result[9] = m12 * scaleZ; result[10] = m22 * scaleZ; result[11] = 0; result[12] = translation.x; result[13] = translation.y; result[14] = translation.z; result[15] = 1; return result; } /** * Creates a Matrix4 instance from a {@link TranslationRotationScale} instance. * * @param {TranslationRotationScale} translationRotationScale The instance. * @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created. * @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided. */ static fromTranslationRotationScale(translationRotationScale, result) { Check_default.typeOf.object("translationRotationScale", translationRotationScale); return _Matrix4.fromTranslationQuaternionRotationScale( translationRotationScale.translation, translationRotationScale.rotation, translationRotationScale.scale, result ); } /** * Creates a Matrix4 instance from a Cartesian3 representing the translation. * * @param {Cartesian3} translation The upper right portion of the matrix representing the translation. * @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created. * @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided. * * @see Matrix4.multiplyByTranslation */ static fromTranslation(translation, result) { Check_default.typeOf.object("translation", translation); return _Matrix4.fromRotationTranslation( Matrix3_default.IDENTITY, translation, result ); } /** * Computes a Matrix4 instance representing a non-uniform scale. * * @param {Cartesian3} scale The x, y, and z scale factors. * @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created. * @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided. * * @example * // Creates * // [7.0, 0.0, 0.0, 0.0] * // [0.0, 8.0, 0.0, 0.0] * // [0.0, 0.0, 9.0, 0.0] * // [0.0, 0.0, 0.0, 1.0] * const m = Cesium.Matrix4.fromScale(new Cesium.Cartesian3(7.0, 8.0, 9.0)); */ static fromScale(scale, result) { Check_default.typeOf.object("scale", scale); if (!defined_default(result)) { return new _Matrix4( scale.x, 0, 0, 0, 0, scale.y, 0, 0, 0, 0, scale.z, 0, 0, 0, 0, 1 ); } result[0] = scale.x; result[1] = 0; result[2] = 0; result[3] = 0; result[4] = 0; result[5] = scale.y; result[6] = 0; result[7] = 0; result[8] = 0; result[9] = 0; result[10] = scale.z; result[11] = 0; result[12] = 0; result[13] = 0; result[14] = 0; result[15] = 1; return result; } /** * Computes a Matrix4 instance representing a uniform scale. * * @param {number} scale The uniform scale factor. * @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created. * @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided. * * @example * // Creates * // [2.0, 0.0, 0.0, 0.0] * // [0.0, 2.0, 0.0, 0.0] * // [0.0, 0.0, 2.0, 0.0] * // [0.0, 0.0, 0.0, 1.0] * const m = Cesium.Matrix4.fromUniformScale(2.0); */ static fromUniformScale(scale, result) { Check_default.typeOf.number("scale", scale); if (!defined_default(result)) { return new _Matrix4( scale, 0, 0, 0, 0, scale, 0, 0, 0, 0, scale, 0, 0, 0, 0, 1 ); } result[0] = scale; result[1] = 0; result[2] = 0; result[3] = 0; result[4] = 0; result[5] = scale; result[6] = 0; result[7] = 0; result[8] = 0; result[9] = 0; result[10] = scale; result[11] = 0; result[12] = 0; result[13] = 0; result[14] = 0; result[15] = 1; return result; } /** * Creates a rotation matrix. * * @param {Matrix3} rotation The rotation matrix. * @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created. * @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided. */ static fromRotation(rotation, result) { Check_default.typeOf.object("rotation", rotation); if (!defined_default(result)) { result = new _Matrix4(); } result[0] = rotation[0]; result[1] = rotation[1]; result[2] = rotation[2]; result[3] = 0; result[4] = rotation[3]; result[5] = rotation[4]; result[6] = rotation[5]; result[7] = 0; result[8] = rotation[6]; result[9] = rotation[7]; result[10] = rotation[8]; result[11] = 0; result[12] = 0; result[13] = 0; result[14] = 0; result[15] = 1; return result; } /** * Computes a Matrix4 instance from a Camera. * * @param {Camera} camera The camera to use. * @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created. * @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided. */ static fromCamera(camera, result) { Check_default.typeOf.object("camera", camera); const position = camera.position; const direction = camera.direction; const up = camera.up; Check_default.typeOf.object("camera.position", position); Check_default.typeOf.object("camera.direction", direction); Check_default.typeOf.object("camera.up", up); Cartesian3_default.normalize(direction, fromCameraF); Cartesian3_default.normalize( Cartesian3_default.cross(fromCameraF, up, fromCameraR), fromCameraR ); Cartesian3_default.normalize( Cartesian3_default.cross(fromCameraR, fromCameraF, fromCameraU), fromCameraU ); const sX = fromCameraR.x; const sY = fromCameraR.y; const sZ = fromCameraR.z; const fX = fromCameraF.x; const fY = fromCameraF.y; const fZ = fromCameraF.z; const uX = fromCameraU.x; const uY = fromCameraU.y; const uZ = fromCameraU.z; const positionX = position.x; const positionY = position.y; const positionZ = position.z; const t0 = sX * -positionX + sY * -positionY + sZ * -positionZ; const t1 = uX * -positionX + uY * -positionY + uZ * -positionZ; const t2 = fX * positionX + fY * positionY + fZ * positionZ; if (!defined_default(result)) { return new _Matrix4( sX, sY, sZ, t0, uX, uY, uZ, t1, -fX, -fY, -fZ, t2, 0, 0, 0, 1 ); } result[0] = sX; result[1] = uX; result[2] = -fX; result[3] = 0; result[4] = sY; result[5] = uY; result[6] = -fY; result[7] = 0; result[8] = sZ; result[9] = uZ; result[10] = -fZ; result[11] = 0; result[12] = t0; result[13] = t1; result[14] = t2; result[15] = 1; return result; } /** * Computes a Matrix4 instance representing a perspective transformation matrix. * * @param {number} fovY The field of view along the Y axis in radians. * @param {number} aspectRatio The aspect ratio. * @param {number} near The distance to the near plane in meters. * @param {number} far The distance to the far plane in meters. * @param {Matrix4} result The object in which the result will be stored. * @returns {Matrix4} The modified result parameter. * * @exception {DeveloperError} fovY must be in (0, PI]. * @exception {DeveloperError} aspectRatio must be greater than zero. * @exception {DeveloperError} near must be greater than zero. * @exception {DeveloperError} far must be greater than zero. */ static computePerspectiveFieldOfView(fovY, aspectRatio, near, far, result) { Check_default.typeOf.number.greaterThan("fovY", fovY, 0); Check_default.typeOf.number.lessThan("fovY", fovY, Math.PI); Check_default.typeOf.number.greaterThan("near", near, 0); Check_default.typeOf.number.greaterThan("far", far, 0); Check_default.typeOf.object("result", result); const bottom = Math.tan(fovY * 0.5); const column1Row1 = 1 / bottom; const column0Row