2829 lines
92 KiB
JavaScript
2829 lines
92 KiB
JavaScript
/**
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* @license
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* Cesium - https://github.com/CesiumGS/cesium
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* Version 1.117
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*
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* Copyright 2011-2022 Cesium Contributors
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*
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* Columbus View (Pat. Pend.)
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*
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* Portions licensed separately.
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* See https://github.com/CesiumGS/cesium/blob/main/LICENSE.md for full licensing details.
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*/
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import {
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Math_default
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} from "./chunk-4PHPQRSH.js";
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import {
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defaultValue_default
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} from "./chunk-UCPPWV64.js";
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import {
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Check_default,
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DeveloperError_default
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} from "./chunk-U4IMCOF5.js";
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import {
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defined_default
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} from "./chunk-BDUJXBVF.js";
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// packages/engine/Source/Core/Cartesian3.js
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function Cartesian3(x, y, z) {
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this.x = defaultValue_default(x, 0);
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this.y = defaultValue_default(y, 0);
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this.z = defaultValue_default(z, 0);
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}
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Cartesian3.fromSpherical = function(spherical, result) {
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Check_default.typeOf.object("spherical", spherical);
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if (!defined_default(result)) {
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result = new Cartesian3();
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}
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const clock = spherical.clock;
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const cone = spherical.cone;
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const magnitude = defaultValue_default(spherical.magnitude, 1);
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const radial = magnitude * Math.sin(cone);
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result.x = radial * Math.cos(clock);
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result.y = radial * Math.sin(clock);
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result.z = magnitude * Math.cos(cone);
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return result;
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};
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Cartesian3.fromElements = function(x, y, z, result) {
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if (!defined_default(result)) {
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return new Cartesian3(x, y, z);
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}
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result.x = x;
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result.y = y;
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result.z = z;
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return result;
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};
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Cartesian3.clone = function(cartesian, result) {
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if (!defined_default(cartesian)) {
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return void 0;
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}
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if (!defined_default(result)) {
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return new Cartesian3(cartesian.x, cartesian.y, cartesian.z);
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}
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result.x = cartesian.x;
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result.y = cartesian.y;
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result.z = cartesian.z;
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return result;
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};
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Cartesian3.fromCartesian4 = Cartesian3.clone;
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Cartesian3.packedLength = 3;
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Cartesian3.pack = function(value, array, startingIndex) {
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Check_default.typeOf.object("value", value);
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Check_default.defined("array", array);
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startingIndex = defaultValue_default(startingIndex, 0);
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array[startingIndex++] = value.x;
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array[startingIndex++] = value.y;
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array[startingIndex] = value.z;
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return array;
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};
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Cartesian3.unpack = function(array, startingIndex, result) {
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Check_default.defined("array", array);
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startingIndex = defaultValue_default(startingIndex, 0);
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if (!defined_default(result)) {
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result = new Cartesian3();
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}
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result.x = array[startingIndex++];
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result.y = array[startingIndex++];
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result.z = array[startingIndex];
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return result;
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};
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Cartesian3.packArray = function(array, result) {
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Check_default.defined("array", array);
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const length = array.length;
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const resultLength = length * 3;
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if (!defined_default(result)) {
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result = new Array(resultLength);
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} else if (!Array.isArray(result) && result.length !== resultLength) {
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throw new DeveloperError_default(
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"If result is a typed array, it must have exactly array.length * 3 elements"
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);
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} else if (result.length !== resultLength) {
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result.length = resultLength;
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}
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for (let i = 0; i < length; ++i) {
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Cartesian3.pack(array[i], result, i * 3);
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}
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return result;
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};
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Cartesian3.unpackArray = function(array, result) {
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Check_default.defined("array", array);
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Check_default.typeOf.number.greaterThanOrEquals("array.length", array.length, 3);
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if (array.length % 3 !== 0) {
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throw new DeveloperError_default("array length must be a multiple of 3.");
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}
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const length = array.length;
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if (!defined_default(result)) {
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result = new Array(length / 3);
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} else {
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result.length = length / 3;
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}
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for (let i = 0; i < length; i += 3) {
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const index = i / 3;
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result[index] = Cartesian3.unpack(array, i, result[index]);
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}
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return result;
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};
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Cartesian3.fromArray = Cartesian3.unpack;
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Cartesian3.maximumComponent = function(cartesian) {
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Check_default.typeOf.object("cartesian", cartesian);
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return Math.max(cartesian.x, cartesian.y, cartesian.z);
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};
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Cartesian3.minimumComponent = function(cartesian) {
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Check_default.typeOf.object("cartesian", cartesian);
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return Math.min(cartesian.x, cartesian.y, cartesian.z);
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};
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Cartesian3.minimumByComponent = function(first, second, result) {
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Check_default.typeOf.object("first", first);
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Check_default.typeOf.object("second", second);
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Check_default.typeOf.object("result", result);
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result.x = Math.min(first.x, second.x);
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result.y = Math.min(first.y, second.y);
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result.z = Math.min(first.z, second.z);
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return result;
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};
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Cartesian3.maximumByComponent = function(first, second, result) {
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Check_default.typeOf.object("first", first);
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Check_default.typeOf.object("second", second);
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Check_default.typeOf.object("result", result);
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result.x = Math.max(first.x, second.x);
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result.y = Math.max(first.y, second.y);
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result.z = Math.max(first.z, second.z);
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return result;
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};
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Cartesian3.clamp = function(value, min, max, result) {
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Check_default.typeOf.object("value", value);
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Check_default.typeOf.object("min", min);
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Check_default.typeOf.object("max", max);
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Check_default.typeOf.object("result", result);
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const x = Math_default.clamp(value.x, min.x, max.x);
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const y = Math_default.clamp(value.y, min.y, max.y);
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const z = Math_default.clamp(value.z, min.z, max.z);
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result.x = x;
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result.y = y;
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result.z = z;
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return result;
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};
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Cartesian3.magnitudeSquared = function(cartesian) {
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Check_default.typeOf.object("cartesian", cartesian);
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return cartesian.x * cartesian.x + cartesian.y * cartesian.y + cartesian.z * cartesian.z;
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};
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Cartesian3.magnitude = function(cartesian) {
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return Math.sqrt(Cartesian3.magnitudeSquared(cartesian));
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};
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var distanceScratch = new Cartesian3();
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Cartesian3.distance = function(left, right) {
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Check_default.typeOf.object("left", left);
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Check_default.typeOf.object("right", right);
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Cartesian3.subtract(left, right, distanceScratch);
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return Cartesian3.magnitude(distanceScratch);
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};
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Cartesian3.distanceSquared = function(left, right) {
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Check_default.typeOf.object("left", left);
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Check_default.typeOf.object("right", right);
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Cartesian3.subtract(left, right, distanceScratch);
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return Cartesian3.magnitudeSquared(distanceScratch);
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};
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Cartesian3.normalize = function(cartesian, result) {
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Check_default.typeOf.object("cartesian", cartesian);
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Check_default.typeOf.object("result", result);
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const magnitude = Cartesian3.magnitude(cartesian);
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result.x = cartesian.x / magnitude;
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result.y = cartesian.y / magnitude;
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result.z = cartesian.z / magnitude;
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if (isNaN(result.x) || isNaN(result.y) || isNaN(result.z)) {
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throw new DeveloperError_default("normalized result is not a number");
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}
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return result;
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};
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Cartesian3.dot = function(left, right) {
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Check_default.typeOf.object("left", left);
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Check_default.typeOf.object("right", right);
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return left.x * right.x + left.y * right.y + left.z * right.z;
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};
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Cartesian3.multiplyComponents = function(left, right, result) {
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Check_default.typeOf.object("left", left);
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Check_default.typeOf.object("right", right);
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Check_default.typeOf.object("result", result);
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result.x = left.x * right.x;
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result.y = left.y * right.y;
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result.z = left.z * right.z;
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return result;
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};
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Cartesian3.divideComponents = function(left, right, result) {
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Check_default.typeOf.object("left", left);
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Check_default.typeOf.object("right", right);
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Check_default.typeOf.object("result", result);
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result.x = left.x / right.x;
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result.y = left.y / right.y;
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result.z = left.z / right.z;
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return result;
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};
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Cartesian3.add = function(left, right, result) {
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Check_default.typeOf.object("left", left);
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Check_default.typeOf.object("right", right);
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Check_default.typeOf.object("result", result);
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result.x = left.x + right.x;
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result.y = left.y + right.y;
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result.z = left.z + right.z;
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return result;
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};
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Cartesian3.subtract = function(left, right, result) {
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Check_default.typeOf.object("left", left);
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Check_default.typeOf.object("right", right);
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Check_default.typeOf.object("result", result);
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result.x = left.x - right.x;
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result.y = left.y - right.y;
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result.z = left.z - right.z;
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return result;
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};
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Cartesian3.multiplyByScalar = function(cartesian, scalar, result) {
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Check_default.typeOf.object("cartesian", cartesian);
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Check_default.typeOf.number("scalar", scalar);
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Check_default.typeOf.object("result", result);
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result.x = cartesian.x * scalar;
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result.y = cartesian.y * scalar;
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result.z = cartesian.z * scalar;
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return result;
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};
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Cartesian3.divideByScalar = function(cartesian, scalar, result) {
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Check_default.typeOf.object("cartesian", cartesian);
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Check_default.typeOf.number("scalar", scalar);
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Check_default.typeOf.object("result", result);
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result.x = cartesian.x / scalar;
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result.y = cartesian.y / scalar;
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result.z = cartesian.z / scalar;
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return result;
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};
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Cartesian3.negate = function(cartesian, result) {
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Check_default.typeOf.object("cartesian", cartesian);
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Check_default.typeOf.object("result", result);
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result.x = -cartesian.x;
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result.y = -cartesian.y;
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result.z = -cartesian.z;
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return result;
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};
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Cartesian3.abs = function(cartesian, result) {
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Check_default.typeOf.object("cartesian", cartesian);
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Check_default.typeOf.object("result", result);
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result.x = Math.abs(cartesian.x);
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result.y = Math.abs(cartesian.y);
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result.z = Math.abs(cartesian.z);
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return result;
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};
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var lerpScratch = new Cartesian3();
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Cartesian3.lerp = function(start, end, t, result) {
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Check_default.typeOf.object("start", start);
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Check_default.typeOf.object("end", end);
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Check_default.typeOf.number("t", t);
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Check_default.typeOf.object("result", result);
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Cartesian3.multiplyByScalar(end, t, lerpScratch);
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result = Cartesian3.multiplyByScalar(start, 1 - t, result);
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return Cartesian3.add(lerpScratch, result, result);
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};
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var angleBetweenScratch = new Cartesian3();
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var angleBetweenScratch2 = new Cartesian3();
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Cartesian3.angleBetween = function(left, right) {
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Check_default.typeOf.object("left", left);
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Check_default.typeOf.object("right", right);
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Cartesian3.normalize(left, angleBetweenScratch);
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Cartesian3.normalize(right, angleBetweenScratch2);
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const cosine = Cartesian3.dot(angleBetweenScratch, angleBetweenScratch2);
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const sine = Cartesian3.magnitude(
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Cartesian3.cross(
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angleBetweenScratch,
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angleBetweenScratch2,
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angleBetweenScratch
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)
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);
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return Math.atan2(sine, cosine);
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};
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var mostOrthogonalAxisScratch = new Cartesian3();
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Cartesian3.mostOrthogonalAxis = function(cartesian, result) {
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Check_default.typeOf.object("cartesian", cartesian);
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Check_default.typeOf.object("result", result);
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const f = Cartesian3.normalize(cartesian, mostOrthogonalAxisScratch);
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Cartesian3.abs(f, f);
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if (f.x <= f.y) {
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if (f.x <= f.z) {
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result = Cartesian3.clone(Cartesian3.UNIT_X, result);
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} else {
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result = Cartesian3.clone(Cartesian3.UNIT_Z, result);
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}
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} else if (f.y <= f.z) {
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result = Cartesian3.clone(Cartesian3.UNIT_Y, result);
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} else {
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result = Cartesian3.clone(Cartesian3.UNIT_Z, result);
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}
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return result;
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};
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Cartesian3.projectVector = function(a, b, result) {
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Check_default.defined("a", a);
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Check_default.defined("b", b);
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Check_default.defined("result", result);
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const scalar = Cartesian3.dot(a, b) / Cartesian3.dot(b, b);
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return Cartesian3.multiplyByScalar(b, scalar, result);
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};
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Cartesian3.equals = function(left, right) {
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return left === right || defined_default(left) && defined_default(right) && left.x === right.x && left.y === right.y && left.z === right.z;
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};
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Cartesian3.equalsArray = function(cartesian, array, offset) {
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return cartesian.x === array[offset] && cartesian.y === array[offset + 1] && cartesian.z === array[offset + 2];
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};
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Cartesian3.equalsEpsilon = function(left, right, relativeEpsilon, absoluteEpsilon) {
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return left === right || defined_default(left) && defined_default(right) && Math_default.equalsEpsilon(
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left.x,
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right.x,
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relativeEpsilon,
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absoluteEpsilon
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) && Math_default.equalsEpsilon(
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left.y,
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right.y,
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relativeEpsilon,
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absoluteEpsilon
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) && Math_default.equalsEpsilon(
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left.z,
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right.z,
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relativeEpsilon,
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absoluteEpsilon
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);
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};
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Cartesian3.cross = function(left, right, result) {
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Check_default.typeOf.object("left", left);
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Check_default.typeOf.object("right", right);
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Check_default.typeOf.object("result", result);
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const leftX = left.x;
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const leftY = left.y;
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const leftZ = left.z;
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const rightX = right.x;
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const rightY = right.y;
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const rightZ = right.z;
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const x = leftY * rightZ - leftZ * rightY;
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const y = leftZ * rightX - leftX * rightZ;
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const z = leftX * rightY - leftY * rightX;
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result.x = x;
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result.y = y;
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result.z = z;
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return result;
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};
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Cartesian3.midpoint = function(left, right, result) {
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Check_default.typeOf.object("left", left);
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Check_default.typeOf.object("right", right);
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Check_default.typeOf.object("result", result);
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result.x = (left.x + right.x) * 0.5;
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result.y = (left.y + right.y) * 0.5;
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result.z = (left.z + right.z) * 0.5;
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return result;
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};
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Cartesian3.fromDegrees = function(longitude, latitude, height, ellipsoid, result) {
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Check_default.typeOf.number("longitude", longitude);
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Check_default.typeOf.number("latitude", latitude);
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longitude = Math_default.toRadians(longitude);
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latitude = Math_default.toRadians(latitude);
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return Cartesian3.fromRadians(longitude, latitude, height, ellipsoid, result);
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};
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var scratchN = new Cartesian3();
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var scratchK = new Cartesian3();
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var wgs84RadiiSquared = new Cartesian3(
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6378137 * 6378137,
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6378137 * 6378137,
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6356752314245179e-9 * 6356752314245179e-9
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);
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Cartesian3.fromRadians = function(longitude, latitude, height, ellipsoid, result) {
|
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Check_default.typeOf.number("longitude", longitude);
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Check_default.typeOf.number("latitude", latitude);
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height = defaultValue_default(height, 0);
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const radiiSquared = defined_default(ellipsoid) ? ellipsoid.radiiSquared : wgs84RadiiSquared;
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const cosLatitude = Math.cos(latitude);
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scratchN.x = cosLatitude * Math.cos(longitude);
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scratchN.y = cosLatitude * Math.sin(longitude);
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scratchN.z = Math.sin(latitude);
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scratchN = Cartesian3.normalize(scratchN, scratchN);
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Cartesian3.multiplyComponents(radiiSquared, scratchN, scratchK);
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const gamma = Math.sqrt(Cartesian3.dot(scratchN, scratchK));
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scratchK = Cartesian3.divideByScalar(scratchK, gamma, scratchK);
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scratchN = Cartesian3.multiplyByScalar(scratchN, height, scratchN);
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if (!defined_default(result)) {
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result = new Cartesian3();
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}
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return Cartesian3.add(scratchK, scratchN, result);
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};
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Cartesian3.fromDegreesArray = function(coordinates, ellipsoid, result) {
|
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Check_default.defined("coordinates", coordinates);
|
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if (coordinates.length < 2 || coordinates.length % 2 !== 0) {
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throw new DeveloperError_default(
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"the number of coordinates must be a multiple of 2 and at least 2"
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);
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}
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const length = coordinates.length;
|
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if (!defined_default(result)) {
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result = new Array(length / 2);
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} else {
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result.length = length / 2;
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}
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for (let i = 0; i < length; i += 2) {
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const longitude = coordinates[i];
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const latitude = coordinates[i + 1];
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const index = i / 2;
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result[index] = Cartesian3.fromDegrees(
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longitude,
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latitude,
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0,
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ellipsoid,
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result[index]
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);
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}
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return result;
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};
|
|
Cartesian3.fromRadiansArray = function(coordinates, ellipsoid, result) {
|
|
Check_default.defined("coordinates", coordinates);
|
|
if (coordinates.length < 2 || coordinates.length % 2 !== 0) {
|
|
throw new DeveloperError_default(
|
|
"the number of coordinates must be a multiple of 2 and at least 2"
|
|
);
|
|
}
|
|
const length = coordinates.length;
|
|
if (!defined_default(result)) {
|
|
result = new Array(length / 2);
|
|
} else {
|
|
result.length = length / 2;
|
|
}
|
|
for (let i = 0; i < length; i += 2) {
|
|
const longitude = coordinates[i];
|
|
const latitude = coordinates[i + 1];
|
|
const index = i / 2;
|
|
result[index] = Cartesian3.fromRadians(
|
|
longitude,
|
|
latitude,
|
|
0,
|
|
ellipsoid,
|
|
result[index]
|
|
);
|
|
}
|
|
return result;
|
|
};
|
|
Cartesian3.fromDegreesArrayHeights = function(coordinates, ellipsoid, result) {
|
|
Check_default.defined("coordinates", coordinates);
|
|
if (coordinates.length < 3 || coordinates.length % 3 !== 0) {
|
|
throw new DeveloperError_default(
|
|
"the number of coordinates must be a multiple of 3 and at least 3"
|
|
);
|
|
}
|
|
const length = coordinates.length;
|
|
if (!defined_default(result)) {
|
|
result = new Array(length / 3);
|
|
} else {
|
|
result.length = length / 3;
|
|
}
|
|
for (let i = 0; i < length; i += 3) {
|
|
const longitude = coordinates[i];
|
|
const latitude = coordinates[i + 1];
|
|
const height = coordinates[i + 2];
|
|
const index = i / 3;
|
|
result[index] = Cartesian3.fromDegrees(
|
|
longitude,
|
|
latitude,
|
|
height,
|
|
ellipsoid,
|
|
result[index]
|
|
);
|
|
}
|
|
return result;
|
|
};
|
|
Cartesian3.fromRadiansArrayHeights = function(coordinates, ellipsoid, result) {
|
|
Check_default.defined("coordinates", coordinates);
|
|
if (coordinates.length < 3 || coordinates.length % 3 !== 0) {
|
|
throw new DeveloperError_default(
|
|
"the number of coordinates must be a multiple of 3 and at least 3"
|
|
);
|
|
}
|
|
const length = coordinates.length;
|
|
if (!defined_default(result)) {
|
|
result = new Array(length / 3);
|
|
} else {
|
|
result.length = length / 3;
|
|
}
|
|
for (let i = 0; i < length; i += 3) {
|
|
const longitude = coordinates[i];
|
|
const latitude = coordinates[i + 1];
|
|
const height = coordinates[i + 2];
|
|
const index = i / 3;
|
|
result[index] = Cartesian3.fromRadians(
|
|
longitude,
|
|
latitude,
|
|
height,
|
|
ellipsoid,
|
|
result[index]
|
|
);
|
|
}
|
|
return result;
|
|
};
|
|
Cartesian3.ZERO = Object.freeze(new Cartesian3(0, 0, 0));
|
|
Cartesian3.ONE = Object.freeze(new Cartesian3(1, 1, 1));
|
|
Cartesian3.UNIT_X = Object.freeze(new Cartesian3(1, 0, 0));
|
|
Cartesian3.UNIT_Y = Object.freeze(new Cartesian3(0, 1, 0));
|
|
Cartesian3.UNIT_Z = Object.freeze(new Cartesian3(0, 0, 1));
|
|
Cartesian3.prototype.clone = function(result) {
|
|
return Cartesian3.clone(this, result);
|
|
};
|
|
Cartesian3.prototype.equals = function(right) {
|
|
return Cartesian3.equals(this, right);
|
|
};
|
|
Cartesian3.prototype.equalsEpsilon = function(right, relativeEpsilon, absoluteEpsilon) {
|
|
return Cartesian3.equalsEpsilon(
|
|
this,
|
|
right,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
);
|
|
};
|
|
Cartesian3.prototype.toString = function() {
|
|
return `(${this.x}, ${this.y}, ${this.z})`;
|
|
};
|
|
var Cartesian3_default = Cartesian3;
|
|
|
|
// packages/engine/Source/Core/scaleToGeodeticSurface.js
|
|
var scaleToGeodeticSurfaceIntersection = new Cartesian3_default();
|
|
var scaleToGeodeticSurfaceGradient = new Cartesian3_default();
|
|
function scaleToGeodeticSurface(cartesian, oneOverRadii, oneOverRadiiSquared, centerToleranceSquared, result) {
|
|
if (!defined_default(cartesian)) {
|
|
throw new DeveloperError_default("cartesian is required.");
|
|
}
|
|
if (!defined_default(oneOverRadii)) {
|
|
throw new DeveloperError_default("oneOverRadii is required.");
|
|
}
|
|
if (!defined_default(oneOverRadiiSquared)) {
|
|
throw new DeveloperError_default("oneOverRadiiSquared is required.");
|
|
}
|
|
if (!defined_default(centerToleranceSquared)) {
|
|
throw new DeveloperError_default("centerToleranceSquared is required.");
|
|
}
|
|
const positionX = cartesian.x;
|
|
const positionY = cartesian.y;
|
|
const positionZ = cartesian.z;
|
|
const oneOverRadiiX = oneOverRadii.x;
|
|
const oneOverRadiiY = oneOverRadii.y;
|
|
const oneOverRadiiZ = oneOverRadii.z;
|
|
const x2 = positionX * positionX * oneOverRadiiX * oneOverRadiiX;
|
|
const y2 = positionY * positionY * oneOverRadiiY * oneOverRadiiY;
|
|
const z2 = positionZ * positionZ * oneOverRadiiZ * oneOverRadiiZ;
|
|
const squaredNorm = x2 + y2 + z2;
|
|
const ratio = Math.sqrt(1 / squaredNorm);
|
|
const intersection = Cartesian3_default.multiplyByScalar(
|
|
cartesian,
|
|
ratio,
|
|
scaleToGeodeticSurfaceIntersection
|
|
);
|
|
if (squaredNorm < centerToleranceSquared) {
|
|
return !isFinite(ratio) ? void 0 : Cartesian3_default.clone(intersection, result);
|
|
}
|
|
const oneOverRadiiSquaredX = oneOverRadiiSquared.x;
|
|
const oneOverRadiiSquaredY = oneOverRadiiSquared.y;
|
|
const oneOverRadiiSquaredZ = oneOverRadiiSquared.z;
|
|
const gradient = scaleToGeodeticSurfaceGradient;
|
|
gradient.x = intersection.x * oneOverRadiiSquaredX * 2;
|
|
gradient.y = intersection.y * oneOverRadiiSquaredY * 2;
|
|
gradient.z = intersection.z * oneOverRadiiSquaredZ * 2;
|
|
let lambda = (1 - ratio) * Cartesian3_default.magnitude(cartesian) / (0.5 * Cartesian3_default.magnitude(gradient));
|
|
let correction = 0;
|
|
let func;
|
|
let denominator;
|
|
let xMultiplier;
|
|
let yMultiplier;
|
|
let zMultiplier;
|
|
let xMultiplier2;
|
|
let yMultiplier2;
|
|
let zMultiplier2;
|
|
let xMultiplier3;
|
|
let yMultiplier3;
|
|
let zMultiplier3;
|
|
do {
|
|
lambda -= correction;
|
|
xMultiplier = 1 / (1 + lambda * oneOverRadiiSquaredX);
|
|
yMultiplier = 1 / (1 + lambda * oneOverRadiiSquaredY);
|
|
zMultiplier = 1 / (1 + lambda * oneOverRadiiSquaredZ);
|
|
xMultiplier2 = xMultiplier * xMultiplier;
|
|
yMultiplier2 = yMultiplier * yMultiplier;
|
|
zMultiplier2 = zMultiplier * zMultiplier;
|
|
xMultiplier3 = xMultiplier2 * xMultiplier;
|
|
yMultiplier3 = yMultiplier2 * yMultiplier;
|
|
zMultiplier3 = zMultiplier2 * zMultiplier;
|
|
func = x2 * xMultiplier2 + y2 * yMultiplier2 + z2 * zMultiplier2 - 1;
|
|
denominator = x2 * xMultiplier3 * oneOverRadiiSquaredX + y2 * yMultiplier3 * oneOverRadiiSquaredY + z2 * zMultiplier3 * oneOverRadiiSquaredZ;
|
|
const derivative = -2 * denominator;
|
|
correction = func / derivative;
|
|
} while (Math.abs(func) > Math_default.EPSILON12);
|
|
if (!defined_default(result)) {
|
|
return new Cartesian3_default(
|
|
positionX * xMultiplier,
|
|
positionY * yMultiplier,
|
|
positionZ * zMultiplier
|
|
);
|
|
}
|
|
result.x = positionX * xMultiplier;
|
|
result.y = positionY * yMultiplier;
|
|
result.z = positionZ * zMultiplier;
|
|
return result;
|
|
}
|
|
var scaleToGeodeticSurface_default = scaleToGeodeticSurface;
|
|
|
|
// packages/engine/Source/Core/Cartographic.js
|
|
function Cartographic(longitude, latitude, height) {
|
|
this.longitude = defaultValue_default(longitude, 0);
|
|
this.latitude = defaultValue_default(latitude, 0);
|
|
this.height = defaultValue_default(height, 0);
|
|
}
|
|
Cartographic.fromRadians = function(longitude, latitude, height, result) {
|
|
Check_default.typeOf.number("longitude", longitude);
|
|
Check_default.typeOf.number("latitude", latitude);
|
|
height = defaultValue_default(height, 0);
|
|
if (!defined_default(result)) {
|
|
return new Cartographic(longitude, latitude, height);
|
|
}
|
|
result.longitude = longitude;
|
|
result.latitude = latitude;
|
|
result.height = height;
|
|
return result;
|
|
};
|
|
Cartographic.fromDegrees = function(longitude, latitude, height, result) {
|
|
Check_default.typeOf.number("longitude", longitude);
|
|
Check_default.typeOf.number("latitude", latitude);
|
|
longitude = Math_default.toRadians(longitude);
|
|
latitude = Math_default.toRadians(latitude);
|
|
return Cartographic.fromRadians(longitude, latitude, height, result);
|
|
};
|
|
var cartesianToCartographicN = new Cartesian3_default();
|
|
var cartesianToCartographicP = new Cartesian3_default();
|
|
var cartesianToCartographicH = new Cartesian3_default();
|
|
var wgs84OneOverRadii = new Cartesian3_default(
|
|
1 / 6378137,
|
|
1 / 6378137,
|
|
1 / 6356752314245179e-9
|
|
);
|
|
var wgs84OneOverRadiiSquared = new Cartesian3_default(
|
|
1 / (6378137 * 6378137),
|
|
1 / (6378137 * 6378137),
|
|
1 / (6356752314245179e-9 * 6356752314245179e-9)
|
|
);
|
|
var wgs84CenterToleranceSquared = Math_default.EPSILON1;
|
|
Cartographic.fromCartesian = function(cartesian, ellipsoid, result) {
|
|
const oneOverRadii = defined_default(ellipsoid) ? ellipsoid.oneOverRadii : wgs84OneOverRadii;
|
|
const oneOverRadiiSquared = defined_default(ellipsoid) ? ellipsoid.oneOverRadiiSquared : wgs84OneOverRadiiSquared;
|
|
const centerToleranceSquared = defined_default(ellipsoid) ? ellipsoid._centerToleranceSquared : wgs84CenterToleranceSquared;
|
|
const p = scaleToGeodeticSurface_default(
|
|
cartesian,
|
|
oneOverRadii,
|
|
oneOverRadiiSquared,
|
|
centerToleranceSquared,
|
|
cartesianToCartographicP
|
|
);
|
|
if (!defined_default(p)) {
|
|
return void 0;
|
|
}
|
|
let n = Cartesian3_default.multiplyComponents(
|
|
p,
|
|
oneOverRadiiSquared,
|
|
cartesianToCartographicN
|
|
);
|
|
n = Cartesian3_default.normalize(n, n);
|
|
const h = Cartesian3_default.subtract(cartesian, p, cartesianToCartographicH);
|
|
const longitude = Math.atan2(n.y, n.x);
|
|
const latitude = Math.asin(n.z);
|
|
const height = Math_default.sign(Cartesian3_default.dot(h, cartesian)) * Cartesian3_default.magnitude(h);
|
|
if (!defined_default(result)) {
|
|
return new Cartographic(longitude, latitude, height);
|
|
}
|
|
result.longitude = longitude;
|
|
result.latitude = latitude;
|
|
result.height = height;
|
|
return result;
|
|
};
|
|
Cartographic.toCartesian = function(cartographic, ellipsoid, result) {
|
|
Check_default.defined("cartographic", cartographic);
|
|
return Cartesian3_default.fromRadians(
|
|
cartographic.longitude,
|
|
cartographic.latitude,
|
|
cartographic.height,
|
|
ellipsoid,
|
|
result
|
|
);
|
|
};
|
|
Cartographic.clone = function(cartographic, result) {
|
|
if (!defined_default(cartographic)) {
|
|
return void 0;
|
|
}
|
|
if (!defined_default(result)) {
|
|
return new Cartographic(
|
|
cartographic.longitude,
|
|
cartographic.latitude,
|
|
cartographic.height
|
|
);
|
|
}
|
|
result.longitude = cartographic.longitude;
|
|
result.latitude = cartographic.latitude;
|
|
result.height = cartographic.height;
|
|
return result;
|
|
};
|
|
Cartographic.equals = function(left, right) {
|
|
return left === right || defined_default(left) && defined_default(right) && left.longitude === right.longitude && left.latitude === right.latitude && left.height === right.height;
|
|
};
|
|
Cartographic.equalsEpsilon = function(left, right, epsilon) {
|
|
epsilon = defaultValue_default(epsilon, 0);
|
|
return left === right || defined_default(left) && defined_default(right) && Math.abs(left.longitude - right.longitude) <= epsilon && Math.abs(left.latitude - right.latitude) <= epsilon && Math.abs(left.height - right.height) <= epsilon;
|
|
};
|
|
Cartographic.ZERO = Object.freeze(new Cartographic(0, 0, 0));
|
|
Cartographic.prototype.clone = function(result) {
|
|
return Cartographic.clone(this, result);
|
|
};
|
|
Cartographic.prototype.equals = function(right) {
|
|
return Cartographic.equals(this, right);
|
|
};
|
|
Cartographic.prototype.equalsEpsilon = function(right, epsilon) {
|
|
return Cartographic.equalsEpsilon(this, right, epsilon);
|
|
};
|
|
Cartographic.prototype.toString = function() {
|
|
return `(${this.longitude}, ${this.latitude}, ${this.height})`;
|
|
};
|
|
var Cartographic_default = Cartographic;
|
|
|
|
// packages/engine/Source/Core/Cartesian2.js
|
|
function Cartesian2(x, y) {
|
|
this.x = defaultValue_default(x, 0);
|
|
this.y = defaultValue_default(y, 0);
|
|
}
|
|
Cartesian2.fromElements = function(x, y, result) {
|
|
if (!defined_default(result)) {
|
|
return new Cartesian2(x, y);
|
|
}
|
|
result.x = x;
|
|
result.y = y;
|
|
return result;
|
|
};
|
|
Cartesian2.clone = function(cartesian, result) {
|
|
if (!defined_default(cartesian)) {
|
|
return void 0;
|
|
}
|
|
if (!defined_default(result)) {
|
|
return new Cartesian2(cartesian.x, cartesian.y);
|
|
}
|
|
result.x = cartesian.x;
|
|
result.y = cartesian.y;
|
|
return result;
|
|
};
|
|
Cartesian2.fromCartesian3 = Cartesian2.clone;
|
|
Cartesian2.fromCartesian4 = Cartesian2.clone;
|
|
Cartesian2.packedLength = 2;
|
|
Cartesian2.pack = function(value, array, startingIndex) {
|
|
Check_default.typeOf.object("value", value);
|
|
Check_default.defined("array", array);
|
|
startingIndex = defaultValue_default(startingIndex, 0);
|
|
array[startingIndex++] = value.x;
|
|
array[startingIndex] = value.y;
|
|
return array;
|
|
};
|
|
Cartesian2.unpack = function(array, startingIndex, result) {
|
|
Check_default.defined("array", array);
|
|
startingIndex = defaultValue_default(startingIndex, 0);
|
|
if (!defined_default(result)) {
|
|
result = new Cartesian2();
|
|
}
|
|
result.x = array[startingIndex++];
|
|
result.y = array[startingIndex];
|
|
return result;
|
|
};
|
|
Cartesian2.packArray = function(array, result) {
|
|
Check_default.defined("array", array);
|
|
const length = array.length;
|
|
const resultLength = length * 2;
|
|
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 * 2 elements"
|
|
);
|
|
} else if (result.length !== resultLength) {
|
|
result.length = resultLength;
|
|
}
|
|
for (let i = 0; i < length; ++i) {
|
|
Cartesian2.pack(array[i], result, i * 2);
|
|
}
|
|
return result;
|
|
};
|
|
Cartesian2.unpackArray = function(array, result) {
|
|
Check_default.defined("array", array);
|
|
Check_default.typeOf.number.greaterThanOrEquals("array.length", array.length, 2);
|
|
if (array.length % 2 !== 0) {
|
|
throw new DeveloperError_default("array length must be a multiple of 2.");
|
|
}
|
|
const length = array.length;
|
|
if (!defined_default(result)) {
|
|
result = new Array(length / 2);
|
|
} else {
|
|
result.length = length / 2;
|
|
}
|
|
for (let i = 0; i < length; i += 2) {
|
|
const index = i / 2;
|
|
result[index] = Cartesian2.unpack(array, i, result[index]);
|
|
}
|
|
return result;
|
|
};
|
|
Cartesian2.fromArray = Cartesian2.unpack;
|
|
Cartesian2.maximumComponent = function(cartesian) {
|
|
Check_default.typeOf.object("cartesian", cartesian);
|
|
return Math.max(cartesian.x, cartesian.y);
|
|
};
|
|
Cartesian2.minimumComponent = function(cartesian) {
|
|
Check_default.typeOf.object("cartesian", cartesian);
|
|
return Math.min(cartesian.x, cartesian.y);
|
|
};
|
|
Cartesian2.minimumByComponent = function(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);
|
|
return result;
|
|
};
|
|
Cartesian2.maximumByComponent = function(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);
|
|
return result;
|
|
};
|
|
Cartesian2.clamp = function(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);
|
|
result.x = x;
|
|
result.y = y;
|
|
return result;
|
|
};
|
|
Cartesian2.magnitudeSquared = function(cartesian) {
|
|
Check_default.typeOf.object("cartesian", cartesian);
|
|
return cartesian.x * cartesian.x + cartesian.y * cartesian.y;
|
|
};
|
|
Cartesian2.magnitude = function(cartesian) {
|
|
return Math.sqrt(Cartesian2.magnitudeSquared(cartesian));
|
|
};
|
|
var distanceScratch2 = new Cartesian2();
|
|
Cartesian2.distance = function(left, right) {
|
|
Check_default.typeOf.object("left", left);
|
|
Check_default.typeOf.object("right", right);
|
|
Cartesian2.subtract(left, right, distanceScratch2);
|
|
return Cartesian2.magnitude(distanceScratch2);
|
|
};
|
|
Cartesian2.distanceSquared = function(left, right) {
|
|
Check_default.typeOf.object("left", left);
|
|
Check_default.typeOf.object("right", right);
|
|
Cartesian2.subtract(left, right, distanceScratch2);
|
|
return Cartesian2.magnitudeSquared(distanceScratch2);
|
|
};
|
|
Cartesian2.normalize = function(cartesian, result) {
|
|
Check_default.typeOf.object("cartesian", cartesian);
|
|
Check_default.typeOf.object("result", result);
|
|
const magnitude = Cartesian2.magnitude(cartesian);
|
|
result.x = cartesian.x / magnitude;
|
|
result.y = cartesian.y / magnitude;
|
|
if (isNaN(result.x) || isNaN(result.y)) {
|
|
throw new DeveloperError_default("normalized result is not a number");
|
|
}
|
|
return result;
|
|
};
|
|
Cartesian2.dot = function(left, right) {
|
|
Check_default.typeOf.object("left", left);
|
|
Check_default.typeOf.object("right", right);
|
|
return left.x * right.x + left.y * right.y;
|
|
};
|
|
Cartesian2.cross = function(left, right) {
|
|
Check_default.typeOf.object("left", left);
|
|
Check_default.typeOf.object("right", right);
|
|
return left.x * right.y - left.y * right.x;
|
|
};
|
|
Cartesian2.multiplyComponents = function(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;
|
|
return result;
|
|
};
|
|
Cartesian2.divideComponents = function(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;
|
|
return result;
|
|
};
|
|
Cartesian2.add = function(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;
|
|
return result;
|
|
};
|
|
Cartesian2.subtract = function(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;
|
|
return result;
|
|
};
|
|
Cartesian2.multiplyByScalar = function(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;
|
|
return result;
|
|
};
|
|
Cartesian2.divideByScalar = function(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;
|
|
return result;
|
|
};
|
|
Cartesian2.negate = function(cartesian, result) {
|
|
Check_default.typeOf.object("cartesian", cartesian);
|
|
Check_default.typeOf.object("result", result);
|
|
result.x = -cartesian.x;
|
|
result.y = -cartesian.y;
|
|
return result;
|
|
};
|
|
Cartesian2.abs = function(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);
|
|
return result;
|
|
};
|
|
var lerpScratch2 = new Cartesian2();
|
|
Cartesian2.lerp = function(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);
|
|
Cartesian2.multiplyByScalar(end, t, lerpScratch2);
|
|
result = Cartesian2.multiplyByScalar(start, 1 - t, result);
|
|
return Cartesian2.add(lerpScratch2, result, result);
|
|
};
|
|
var angleBetweenScratch3 = new Cartesian2();
|
|
var angleBetweenScratch22 = new Cartesian2();
|
|
Cartesian2.angleBetween = function(left, right) {
|
|
Check_default.typeOf.object("left", left);
|
|
Check_default.typeOf.object("right", right);
|
|
Cartesian2.normalize(left, angleBetweenScratch3);
|
|
Cartesian2.normalize(right, angleBetweenScratch22);
|
|
return Math_default.acosClamped(
|
|
Cartesian2.dot(angleBetweenScratch3, angleBetweenScratch22)
|
|
);
|
|
};
|
|
var mostOrthogonalAxisScratch2 = new Cartesian2();
|
|
Cartesian2.mostOrthogonalAxis = function(cartesian, result) {
|
|
Check_default.typeOf.object("cartesian", cartesian);
|
|
Check_default.typeOf.object("result", result);
|
|
const f = Cartesian2.normalize(cartesian, mostOrthogonalAxisScratch2);
|
|
Cartesian2.abs(f, f);
|
|
if (f.x <= f.y) {
|
|
result = Cartesian2.clone(Cartesian2.UNIT_X, result);
|
|
} else {
|
|
result = Cartesian2.clone(Cartesian2.UNIT_Y, result);
|
|
}
|
|
return result;
|
|
};
|
|
Cartesian2.equals = function(left, right) {
|
|
return left === right || defined_default(left) && defined_default(right) && left.x === right.x && left.y === right.y;
|
|
};
|
|
Cartesian2.equalsArray = function(cartesian, array, offset) {
|
|
return cartesian.x === array[offset] && cartesian.y === array[offset + 1];
|
|
};
|
|
Cartesian2.equalsEpsilon = function(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
|
|
);
|
|
};
|
|
Cartesian2.ZERO = Object.freeze(new Cartesian2(0, 0));
|
|
Cartesian2.ONE = Object.freeze(new Cartesian2(1, 1));
|
|
Cartesian2.UNIT_X = Object.freeze(new Cartesian2(1, 0));
|
|
Cartesian2.UNIT_Y = Object.freeze(new Cartesian2(0, 1));
|
|
Cartesian2.prototype.clone = function(result) {
|
|
return Cartesian2.clone(this, result);
|
|
};
|
|
Cartesian2.prototype.equals = function(right) {
|
|
return Cartesian2.equals(this, right);
|
|
};
|
|
Cartesian2.prototype.equalsEpsilon = function(right, relativeEpsilon, absoluteEpsilon) {
|
|
return Cartesian2.equalsEpsilon(
|
|
this,
|
|
right,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
);
|
|
};
|
|
Cartesian2.prototype.toString = function() {
|
|
return `(${this.x}, ${this.y})`;
|
|
};
|
|
var Cartesian2_default = Cartesian2;
|
|
|
|
// packages/engine/Source/Core/Ellipsoid.js
|
|
function initialize(ellipsoid, x, y, z) {
|
|
x = defaultValue_default(x, 0);
|
|
y = defaultValue_default(y, 0);
|
|
z = defaultValue_default(z, 0);
|
|
Check_default.typeOf.number.greaterThanOrEquals("x", x, 0);
|
|
Check_default.typeOf.number.greaterThanOrEquals("y", y, 0);
|
|
Check_default.typeOf.number.greaterThanOrEquals("z", z, 0);
|
|
ellipsoid._radii = new Cartesian3_default(x, y, z);
|
|
ellipsoid._radiiSquared = new Cartesian3_default(x * x, y * y, z * z);
|
|
ellipsoid._radiiToTheFourth = new Cartesian3_default(
|
|
x * x * x * x,
|
|
y * y * y * y,
|
|
z * z * z * z
|
|
);
|
|
ellipsoid._oneOverRadii = new Cartesian3_default(
|
|
x === 0 ? 0 : 1 / x,
|
|
y === 0 ? 0 : 1 / y,
|
|
z === 0 ? 0 : 1 / z
|
|
);
|
|
ellipsoid._oneOverRadiiSquared = new Cartesian3_default(
|
|
x === 0 ? 0 : 1 / (x * x),
|
|
y === 0 ? 0 : 1 / (y * y),
|
|
z === 0 ? 0 : 1 / (z * z)
|
|
);
|
|
ellipsoid._minimumRadius = Math.min(x, y, z);
|
|
ellipsoid._maximumRadius = Math.max(x, y, z);
|
|
ellipsoid._centerToleranceSquared = Math_default.EPSILON1;
|
|
if (ellipsoid._radiiSquared.z !== 0) {
|
|
ellipsoid._squaredXOverSquaredZ = ellipsoid._radiiSquared.x / ellipsoid._radiiSquared.z;
|
|
}
|
|
}
|
|
function Ellipsoid(x, y, z) {
|
|
this._radii = void 0;
|
|
this._radiiSquared = void 0;
|
|
this._radiiToTheFourth = void 0;
|
|
this._oneOverRadii = void 0;
|
|
this._oneOverRadiiSquared = void 0;
|
|
this._minimumRadius = void 0;
|
|
this._maximumRadius = void 0;
|
|
this._centerToleranceSquared = void 0;
|
|
this._squaredXOverSquaredZ = void 0;
|
|
initialize(this, x, y, z);
|
|
}
|
|
Object.defineProperties(Ellipsoid.prototype, {
|
|
/**
|
|
* Gets the radii of the ellipsoid.
|
|
* @memberof Ellipsoid.prototype
|
|
* @type {Cartesian3}
|
|
* @readonly
|
|
*/
|
|
radii: {
|
|
get: function() {
|
|
return this._radii;
|
|
}
|
|
},
|
|
/**
|
|
* Gets the squared radii of the ellipsoid.
|
|
* @memberof Ellipsoid.prototype
|
|
* @type {Cartesian3}
|
|
* @readonly
|
|
*/
|
|
radiiSquared: {
|
|
get: function() {
|
|
return this._radiiSquared;
|
|
}
|
|
},
|
|
/**
|
|
* Gets the radii of the ellipsoid raise to the fourth power.
|
|
* @memberof Ellipsoid.prototype
|
|
* @type {Cartesian3}
|
|
* @readonly
|
|
*/
|
|
radiiToTheFourth: {
|
|
get: function() {
|
|
return this._radiiToTheFourth;
|
|
}
|
|
},
|
|
/**
|
|
* Gets one over the radii of the ellipsoid.
|
|
* @memberof Ellipsoid.prototype
|
|
* @type {Cartesian3}
|
|
* @readonly
|
|
*/
|
|
oneOverRadii: {
|
|
get: function() {
|
|
return this._oneOverRadii;
|
|
}
|
|
},
|
|
/**
|
|
* Gets one over the squared radii of the ellipsoid.
|
|
* @memberof Ellipsoid.prototype
|
|
* @type {Cartesian3}
|
|
* @readonly
|
|
*/
|
|
oneOverRadiiSquared: {
|
|
get: function() {
|
|
return this._oneOverRadiiSquared;
|
|
}
|
|
},
|
|
/**
|
|
* Gets the minimum radius of the ellipsoid.
|
|
* @memberof Ellipsoid.prototype
|
|
* @type {number}
|
|
* @readonly
|
|
*/
|
|
minimumRadius: {
|
|
get: function() {
|
|
return this._minimumRadius;
|
|
}
|
|
},
|
|
/**
|
|
* Gets the maximum radius of the ellipsoid.
|
|
* @memberof Ellipsoid.prototype
|
|
* @type {number}
|
|
* @readonly
|
|
*/
|
|
maximumRadius: {
|
|
get: function() {
|
|
return this._maximumRadius;
|
|
}
|
|
}
|
|
});
|
|
Ellipsoid.clone = function(ellipsoid, result) {
|
|
if (!defined_default(ellipsoid)) {
|
|
return void 0;
|
|
}
|
|
const radii = ellipsoid._radii;
|
|
if (!defined_default(result)) {
|
|
return new Ellipsoid(radii.x, radii.y, radii.z);
|
|
}
|
|
Cartesian3_default.clone(radii, result._radii);
|
|
Cartesian3_default.clone(ellipsoid._radiiSquared, result._radiiSquared);
|
|
Cartesian3_default.clone(ellipsoid._radiiToTheFourth, result._radiiToTheFourth);
|
|
Cartesian3_default.clone(ellipsoid._oneOverRadii, result._oneOverRadii);
|
|
Cartesian3_default.clone(ellipsoid._oneOverRadiiSquared, result._oneOverRadiiSquared);
|
|
result._minimumRadius = ellipsoid._minimumRadius;
|
|
result._maximumRadius = ellipsoid._maximumRadius;
|
|
result._centerToleranceSquared = ellipsoid._centerToleranceSquared;
|
|
return result;
|
|
};
|
|
Ellipsoid.fromCartesian3 = function(cartesian, result) {
|
|
if (!defined_default(result)) {
|
|
result = new Ellipsoid();
|
|
}
|
|
if (!defined_default(cartesian)) {
|
|
return result;
|
|
}
|
|
initialize(result, cartesian.x, cartesian.y, cartesian.z);
|
|
return result;
|
|
};
|
|
Ellipsoid.WGS84 = Object.freeze(
|
|
new Ellipsoid(6378137, 6378137, 6356752314245179e-9)
|
|
);
|
|
Ellipsoid.UNIT_SPHERE = Object.freeze(new Ellipsoid(1, 1, 1));
|
|
Ellipsoid.MOON = Object.freeze(
|
|
new Ellipsoid(
|
|
Math_default.LUNAR_RADIUS,
|
|
Math_default.LUNAR_RADIUS,
|
|
Math_default.LUNAR_RADIUS
|
|
)
|
|
);
|
|
Ellipsoid.prototype.clone = function(result) {
|
|
return Ellipsoid.clone(this, result);
|
|
};
|
|
Ellipsoid.packedLength = Cartesian3_default.packedLength;
|
|
Ellipsoid.pack = function(value, array, startingIndex) {
|
|
Check_default.typeOf.object("value", value);
|
|
Check_default.defined("array", array);
|
|
startingIndex = defaultValue_default(startingIndex, 0);
|
|
Cartesian3_default.pack(value._radii, array, startingIndex);
|
|
return array;
|
|
};
|
|
Ellipsoid.unpack = function(array, startingIndex, result) {
|
|
Check_default.defined("array", array);
|
|
startingIndex = defaultValue_default(startingIndex, 0);
|
|
const radii = Cartesian3_default.unpack(array, startingIndex);
|
|
return Ellipsoid.fromCartesian3(radii, result);
|
|
};
|
|
Ellipsoid.prototype.geocentricSurfaceNormal = Cartesian3_default.normalize;
|
|
Ellipsoid.prototype.geodeticSurfaceNormalCartographic = function(cartographic, result) {
|
|
Check_default.typeOf.object("cartographic", cartographic);
|
|
const longitude = cartographic.longitude;
|
|
const latitude = cartographic.latitude;
|
|
const cosLatitude = Math.cos(latitude);
|
|
const x = cosLatitude * Math.cos(longitude);
|
|
const y = cosLatitude * Math.sin(longitude);
|
|
const z = Math.sin(latitude);
|
|
if (!defined_default(result)) {
|
|
result = new Cartesian3_default();
|
|
}
|
|
result.x = x;
|
|
result.y = y;
|
|
result.z = z;
|
|
return Cartesian3_default.normalize(result, result);
|
|
};
|
|
Ellipsoid.prototype.geodeticSurfaceNormal = function(cartesian, result) {
|
|
Check_default.typeOf.object("cartesian", cartesian);
|
|
if (isNaN(cartesian.x) || isNaN(cartesian.y) || isNaN(cartesian.z)) {
|
|
throw new DeveloperError_default("cartesian has a NaN component");
|
|
}
|
|
if (Cartesian3_default.equalsEpsilon(cartesian, Cartesian3_default.ZERO, Math_default.EPSILON14)) {
|
|
return void 0;
|
|
}
|
|
if (!defined_default(result)) {
|
|
result = new Cartesian3_default();
|
|
}
|
|
result = Cartesian3_default.multiplyComponents(
|
|
cartesian,
|
|
this._oneOverRadiiSquared,
|
|
result
|
|
);
|
|
return Cartesian3_default.normalize(result, result);
|
|
};
|
|
var cartographicToCartesianNormal = new Cartesian3_default();
|
|
var cartographicToCartesianK = new Cartesian3_default();
|
|
Ellipsoid.prototype.cartographicToCartesian = function(cartographic, result) {
|
|
const n = cartographicToCartesianNormal;
|
|
const k = cartographicToCartesianK;
|
|
this.geodeticSurfaceNormalCartographic(cartographic, n);
|
|
Cartesian3_default.multiplyComponents(this._radiiSquared, n, k);
|
|
const gamma = Math.sqrt(Cartesian3_default.dot(n, k));
|
|
Cartesian3_default.divideByScalar(k, gamma, k);
|
|
Cartesian3_default.multiplyByScalar(n, cartographic.height, n);
|
|
if (!defined_default(result)) {
|
|
result = new Cartesian3_default();
|
|
}
|
|
return Cartesian3_default.add(k, n, result);
|
|
};
|
|
Ellipsoid.prototype.cartographicArrayToCartesianArray = function(cartographics, result) {
|
|
Check_default.defined("cartographics", cartographics);
|
|
const length = cartographics.length;
|
|
if (!defined_default(result)) {
|
|
result = new Array(length);
|
|
} else {
|
|
result.length = length;
|
|
}
|
|
for (let i = 0; i < length; i++) {
|
|
result[i] = this.cartographicToCartesian(cartographics[i], result[i]);
|
|
}
|
|
return result;
|
|
};
|
|
var cartesianToCartographicN2 = new Cartesian3_default();
|
|
var cartesianToCartographicP2 = new Cartesian3_default();
|
|
var cartesianToCartographicH2 = new Cartesian3_default();
|
|
Ellipsoid.prototype.cartesianToCartographic = function(cartesian, result) {
|
|
const p = this.scaleToGeodeticSurface(cartesian, cartesianToCartographicP2);
|
|
if (!defined_default(p)) {
|
|
return void 0;
|
|
}
|
|
const n = this.geodeticSurfaceNormal(p, cartesianToCartographicN2);
|
|
const h = Cartesian3_default.subtract(cartesian, p, cartesianToCartographicH2);
|
|
const longitude = Math.atan2(n.y, n.x);
|
|
const latitude = Math.asin(n.z);
|
|
const height = Math_default.sign(Cartesian3_default.dot(h, cartesian)) * Cartesian3_default.magnitude(h);
|
|
if (!defined_default(result)) {
|
|
return new Cartographic_default(longitude, latitude, height);
|
|
}
|
|
result.longitude = longitude;
|
|
result.latitude = latitude;
|
|
result.height = height;
|
|
return result;
|
|
};
|
|
Ellipsoid.prototype.cartesianArrayToCartographicArray = function(cartesians, result) {
|
|
Check_default.defined("cartesians", cartesians);
|
|
const length = cartesians.length;
|
|
if (!defined_default(result)) {
|
|
result = new Array(length);
|
|
} else {
|
|
result.length = length;
|
|
}
|
|
for (let i = 0; i < length; ++i) {
|
|
result[i] = this.cartesianToCartographic(cartesians[i], result[i]);
|
|
}
|
|
return result;
|
|
};
|
|
Ellipsoid.prototype.scaleToGeodeticSurface = function(cartesian, result) {
|
|
return scaleToGeodeticSurface_default(
|
|
cartesian,
|
|
this._oneOverRadii,
|
|
this._oneOverRadiiSquared,
|
|
this._centerToleranceSquared,
|
|
result
|
|
);
|
|
};
|
|
Ellipsoid.prototype.scaleToGeocentricSurface = function(cartesian, result) {
|
|
Check_default.typeOf.object("cartesian", cartesian);
|
|
if (!defined_default(result)) {
|
|
result = new Cartesian3_default();
|
|
}
|
|
const positionX = cartesian.x;
|
|
const positionY = cartesian.y;
|
|
const positionZ = cartesian.z;
|
|
const oneOverRadiiSquared = this._oneOverRadiiSquared;
|
|
const beta = 1 / Math.sqrt(
|
|
positionX * positionX * oneOverRadiiSquared.x + positionY * positionY * oneOverRadiiSquared.y + positionZ * positionZ * oneOverRadiiSquared.z
|
|
);
|
|
return Cartesian3_default.multiplyByScalar(cartesian, beta, result);
|
|
};
|
|
Ellipsoid.prototype.transformPositionToScaledSpace = function(position, result) {
|
|
if (!defined_default(result)) {
|
|
result = new Cartesian3_default();
|
|
}
|
|
return Cartesian3_default.multiplyComponents(position, this._oneOverRadii, result);
|
|
};
|
|
Ellipsoid.prototype.transformPositionFromScaledSpace = function(position, result) {
|
|
if (!defined_default(result)) {
|
|
result = new Cartesian3_default();
|
|
}
|
|
return Cartesian3_default.multiplyComponents(position, this._radii, result);
|
|
};
|
|
Ellipsoid.prototype.equals = function(right) {
|
|
return this === right || defined_default(right) && Cartesian3_default.equals(this._radii, right._radii);
|
|
};
|
|
Ellipsoid.prototype.toString = function() {
|
|
return this._radii.toString();
|
|
};
|
|
Ellipsoid.prototype.getSurfaceNormalIntersectionWithZAxis = function(position, buffer, result) {
|
|
Check_default.typeOf.object("position", position);
|
|
if (!Math_default.equalsEpsilon(
|
|
this._radii.x,
|
|
this._radii.y,
|
|
Math_default.EPSILON15
|
|
)) {
|
|
throw new DeveloperError_default(
|
|
"Ellipsoid must be an ellipsoid of revolution (radii.x == radii.y)"
|
|
);
|
|
}
|
|
Check_default.typeOf.number.greaterThan("Ellipsoid.radii.z", this._radii.z, 0);
|
|
buffer = defaultValue_default(buffer, 0);
|
|
const squaredXOverSquaredZ = this._squaredXOverSquaredZ;
|
|
if (!defined_default(result)) {
|
|
result = new Cartesian3_default();
|
|
}
|
|
result.x = 0;
|
|
result.y = 0;
|
|
result.z = position.z * (1 - squaredXOverSquaredZ);
|
|
if (Math.abs(result.z) >= this._radii.z - buffer) {
|
|
return void 0;
|
|
}
|
|
return result;
|
|
};
|
|
var scratchEndpoint = new Cartesian3_default();
|
|
Ellipsoid.prototype.getLocalCurvature = function(surfacePosition, result) {
|
|
Check_default.typeOf.object("surfacePosition", surfacePosition);
|
|
if (!defined_default(result)) {
|
|
result = new Cartesian2_default();
|
|
}
|
|
const primeVerticalEndpoint = this.getSurfaceNormalIntersectionWithZAxis(
|
|
surfacePosition,
|
|
0,
|
|
scratchEndpoint
|
|
);
|
|
const primeVerticalRadius = Cartesian3_default.distance(
|
|
surfacePosition,
|
|
primeVerticalEndpoint
|
|
);
|
|
const radiusRatio = this.minimumRadius * primeVerticalRadius / this.maximumRadius ** 2;
|
|
const meridionalRadius = primeVerticalRadius * radiusRatio ** 2;
|
|
return Cartesian2_default.fromElements(
|
|
1 / primeVerticalRadius,
|
|
1 / meridionalRadius,
|
|
result
|
|
);
|
|
};
|
|
var abscissas = [
|
|
0.14887433898163,
|
|
0.43339539412925,
|
|
0.67940956829902,
|
|
0.86506336668898,
|
|
0.97390652851717,
|
|
0
|
|
];
|
|
var weights = [
|
|
0.29552422471475,
|
|
0.26926671930999,
|
|
0.21908636251598,
|
|
0.14945134915058,
|
|
0.066671344308684,
|
|
0
|
|
];
|
|
function gaussLegendreQuadrature(a, b, func) {
|
|
Check_default.typeOf.number("a", a);
|
|
Check_default.typeOf.number("b", b);
|
|
Check_default.typeOf.func("func", func);
|
|
const xMean = 0.5 * (b + a);
|
|
const xRange = 0.5 * (b - a);
|
|
let sum = 0;
|
|
for (let i = 0; i < 5; i++) {
|
|
const dx = xRange * abscissas[i];
|
|
sum += weights[i] * (func(xMean + dx) + func(xMean - dx));
|
|
}
|
|
sum *= xRange;
|
|
return sum;
|
|
}
|
|
Ellipsoid.prototype.surfaceArea = function(rectangle) {
|
|
Check_default.typeOf.object("rectangle", rectangle);
|
|
const minLongitude = rectangle.west;
|
|
let maxLongitude = rectangle.east;
|
|
const minLatitude = rectangle.south;
|
|
const maxLatitude = rectangle.north;
|
|
while (maxLongitude < minLongitude) {
|
|
maxLongitude += Math_default.TWO_PI;
|
|
}
|
|
const radiiSquared = this._radiiSquared;
|
|
const a2 = radiiSquared.x;
|
|
const b2 = radiiSquared.y;
|
|
const c2 = radiiSquared.z;
|
|
const a2b2 = a2 * b2;
|
|
return gaussLegendreQuadrature(minLatitude, maxLatitude, function(lat) {
|
|
const sinPhi = Math.cos(lat);
|
|
const cosPhi = Math.sin(lat);
|
|
return Math.cos(lat) * gaussLegendreQuadrature(minLongitude, maxLongitude, function(lon) {
|
|
const cosTheta = Math.cos(lon);
|
|
const sinTheta = Math.sin(lon);
|
|
return Math.sqrt(
|
|
a2b2 * cosPhi * cosPhi + c2 * (b2 * cosTheta * cosTheta + a2 * sinTheta * sinTheta) * sinPhi * sinPhi
|
|
);
|
|
});
|
|
});
|
|
};
|
|
var Ellipsoid_default = Ellipsoid;
|
|
|
|
// packages/engine/Source/Core/Matrix3.js
|
|
function Matrix3(column0Row0, column1Row0, column2Row0, column0Row1, column1Row1, column2Row1, column0Row2, column1Row2, column2Row2) {
|
|
this[0] = defaultValue_default(column0Row0, 0);
|
|
this[1] = defaultValue_default(column0Row1, 0);
|
|
this[2] = defaultValue_default(column0Row2, 0);
|
|
this[3] = defaultValue_default(column1Row0, 0);
|
|
this[4] = defaultValue_default(column1Row1, 0);
|
|
this[5] = defaultValue_default(column1Row2, 0);
|
|
this[6] = defaultValue_default(column2Row0, 0);
|
|
this[7] = defaultValue_default(column2Row1, 0);
|
|
this[8] = defaultValue_default(column2Row2, 0);
|
|
}
|
|
Matrix3.packedLength = 9;
|
|
Matrix3.pack = function(value, array, startingIndex) {
|
|
Check_default.typeOf.object("value", value);
|
|
Check_default.defined("array", array);
|
|
startingIndex = defaultValue_default(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];
|
|
return array;
|
|
};
|
|
Matrix3.unpack = function(array, startingIndex, result) {
|
|
Check_default.defined("array", array);
|
|
startingIndex = defaultValue_default(startingIndex, 0);
|
|
if (!defined_default(result)) {
|
|
result = new Matrix3();
|
|
}
|
|
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++];
|
|
return result;
|
|
};
|
|
Matrix3.packArray = function(array, result) {
|
|
Check_default.defined("array", array);
|
|
const length = array.length;
|
|
const resultLength = length * 9;
|
|
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 * 9 elements"
|
|
);
|
|
} else if (result.length !== resultLength) {
|
|
result.length = resultLength;
|
|
}
|
|
for (let i = 0; i < length; ++i) {
|
|
Matrix3.pack(array[i], result, i * 9);
|
|
}
|
|
return result;
|
|
};
|
|
Matrix3.unpackArray = function(array, result) {
|
|
Check_default.defined("array", array);
|
|
Check_default.typeOf.number.greaterThanOrEquals("array.length", array.length, 9);
|
|
if (array.length % 9 !== 0) {
|
|
throw new DeveloperError_default("array length must be a multiple of 9.");
|
|
}
|
|
const length = array.length;
|
|
if (!defined_default(result)) {
|
|
result = new Array(length / 9);
|
|
} else {
|
|
result.length = length / 9;
|
|
}
|
|
for (let i = 0; i < length; i += 9) {
|
|
const index = i / 9;
|
|
result[index] = Matrix3.unpack(array, i, result[index]);
|
|
}
|
|
return result;
|
|
};
|
|
Matrix3.clone = function(matrix, result) {
|
|
if (!defined_default(matrix)) {
|
|
return void 0;
|
|
}
|
|
if (!defined_default(result)) {
|
|
return new Matrix3(
|
|
matrix[0],
|
|
matrix[3],
|
|
matrix[6],
|
|
matrix[1],
|
|
matrix[4],
|
|
matrix[7],
|
|
matrix[2],
|
|
matrix[5],
|
|
matrix[8]
|
|
);
|
|
}
|
|
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];
|
|
return result;
|
|
};
|
|
Matrix3.fromArray = Matrix3.unpack;
|
|
Matrix3.fromColumnMajorArray = function(values, result) {
|
|
Check_default.defined("values", values);
|
|
return Matrix3.clone(values, result);
|
|
};
|
|
Matrix3.fromRowMajorArray = function(values, result) {
|
|
Check_default.defined("values", values);
|
|
if (!defined_default(result)) {
|
|
return new Matrix3(
|
|
values[0],
|
|
values[1],
|
|
values[2],
|
|
values[3],
|
|
values[4],
|
|
values[5],
|
|
values[6],
|
|
values[7],
|
|
values[8]
|
|
);
|
|
}
|
|
result[0] = values[0];
|
|
result[1] = values[3];
|
|
result[2] = values[6];
|
|
result[3] = values[1];
|
|
result[4] = values[4];
|
|
result[5] = values[7];
|
|
result[6] = values[2];
|
|
result[7] = values[5];
|
|
result[8] = values[8];
|
|
return result;
|
|
};
|
|
Matrix3.fromQuaternion = function(quaternion, result) {
|
|
Check_default.typeOf.object("quaternion", quaternion);
|
|
const x2 = quaternion.x * quaternion.x;
|
|
const xy = quaternion.x * quaternion.y;
|
|
const xz = quaternion.x * quaternion.z;
|
|
const xw = quaternion.x * quaternion.w;
|
|
const y2 = quaternion.y * quaternion.y;
|
|
const yz = quaternion.y * quaternion.z;
|
|
const yw = quaternion.y * quaternion.w;
|
|
const z2 = quaternion.z * quaternion.z;
|
|
const zw = quaternion.z * quaternion.w;
|
|
const w2 = quaternion.w * quaternion.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;
|
|
if (!defined_default(result)) {
|
|
return new Matrix3(m00, m01, m02, m10, m11, m12, m20, m21, m22);
|
|
}
|
|
result[0] = m00;
|
|
result[1] = m10;
|
|
result[2] = m20;
|
|
result[3] = m01;
|
|
result[4] = m11;
|
|
result[5] = m21;
|
|
result[6] = m02;
|
|
result[7] = m12;
|
|
result[8] = m22;
|
|
return result;
|
|
};
|
|
Matrix3.fromHeadingPitchRoll = function(headingPitchRoll, result) {
|
|
Check_default.typeOf.object("headingPitchRoll", headingPitchRoll);
|
|
const cosTheta = Math.cos(-headingPitchRoll.pitch);
|
|
const cosPsi = Math.cos(-headingPitchRoll.heading);
|
|
const cosPhi = Math.cos(headingPitchRoll.roll);
|
|
const sinTheta = Math.sin(-headingPitchRoll.pitch);
|
|
const sinPsi = Math.sin(-headingPitchRoll.heading);
|
|
const sinPhi = Math.sin(headingPitchRoll.roll);
|
|
const m00 = cosTheta * cosPsi;
|
|
const m01 = -cosPhi * sinPsi + sinPhi * sinTheta * cosPsi;
|
|
const m02 = sinPhi * sinPsi + cosPhi * sinTheta * cosPsi;
|
|
const m10 = cosTheta * sinPsi;
|
|
const m11 = cosPhi * cosPsi + sinPhi * sinTheta * sinPsi;
|
|
const m12 = -sinPhi * cosPsi + cosPhi * sinTheta * sinPsi;
|
|
const m20 = -sinTheta;
|
|
const m21 = sinPhi * cosTheta;
|
|
const m22 = cosPhi * cosTheta;
|
|
if (!defined_default(result)) {
|
|
return new Matrix3(m00, m01, m02, m10, m11, m12, m20, m21, m22);
|
|
}
|
|
result[0] = m00;
|
|
result[1] = m10;
|
|
result[2] = m20;
|
|
result[3] = m01;
|
|
result[4] = m11;
|
|
result[5] = m21;
|
|
result[6] = m02;
|
|
result[7] = m12;
|
|
result[8] = m22;
|
|
return result;
|
|
};
|
|
Matrix3.fromScale = function(scale, result) {
|
|
Check_default.typeOf.object("scale", scale);
|
|
if (!defined_default(result)) {
|
|
return new Matrix3(scale.x, 0, 0, 0, scale.y, 0, 0, 0, scale.z);
|
|
}
|
|
result[0] = scale.x;
|
|
result[1] = 0;
|
|
result[2] = 0;
|
|
result[3] = 0;
|
|
result[4] = scale.y;
|
|
result[5] = 0;
|
|
result[6] = 0;
|
|
result[7] = 0;
|
|
result[8] = scale.z;
|
|
return result;
|
|
};
|
|
Matrix3.fromUniformScale = function(scale, result) {
|
|
Check_default.typeOf.number("scale", scale);
|
|
if (!defined_default(result)) {
|
|
return new Matrix3(scale, 0, 0, 0, scale, 0, 0, 0, scale);
|
|
}
|
|
result[0] = scale;
|
|
result[1] = 0;
|
|
result[2] = 0;
|
|
result[3] = 0;
|
|
result[4] = scale;
|
|
result[5] = 0;
|
|
result[6] = 0;
|
|
result[7] = 0;
|
|
result[8] = scale;
|
|
return result;
|
|
};
|
|
Matrix3.fromCrossProduct = function(vector, result) {
|
|
Check_default.typeOf.object("vector", vector);
|
|
if (!defined_default(result)) {
|
|
return new Matrix3(
|
|
0,
|
|
-vector.z,
|
|
vector.y,
|
|
vector.z,
|
|
0,
|
|
-vector.x,
|
|
-vector.y,
|
|
vector.x,
|
|
0
|
|
);
|
|
}
|
|
result[0] = 0;
|
|
result[1] = vector.z;
|
|
result[2] = -vector.y;
|
|
result[3] = -vector.z;
|
|
result[4] = 0;
|
|
result[5] = vector.x;
|
|
result[6] = vector.y;
|
|
result[7] = -vector.x;
|
|
result[8] = 0;
|
|
return result;
|
|
};
|
|
Matrix3.fromRotationX = function(angle, result) {
|
|
Check_default.typeOf.number("angle", angle);
|
|
const cosAngle = Math.cos(angle);
|
|
const sinAngle = Math.sin(angle);
|
|
if (!defined_default(result)) {
|
|
return new Matrix3(
|
|
1,
|
|
0,
|
|
0,
|
|
0,
|
|
cosAngle,
|
|
-sinAngle,
|
|
0,
|
|
sinAngle,
|
|
cosAngle
|
|
);
|
|
}
|
|
result[0] = 1;
|
|
result[1] = 0;
|
|
result[2] = 0;
|
|
result[3] = 0;
|
|
result[4] = cosAngle;
|
|
result[5] = sinAngle;
|
|
result[6] = 0;
|
|
result[7] = -sinAngle;
|
|
result[8] = cosAngle;
|
|
return result;
|
|
};
|
|
Matrix3.fromRotationY = function(angle, result) {
|
|
Check_default.typeOf.number("angle", angle);
|
|
const cosAngle = Math.cos(angle);
|
|
const sinAngle = Math.sin(angle);
|
|
if (!defined_default(result)) {
|
|
return new Matrix3(
|
|
cosAngle,
|
|
0,
|
|
sinAngle,
|
|
0,
|
|
1,
|
|
0,
|
|
-sinAngle,
|
|
0,
|
|
cosAngle
|
|
);
|
|
}
|
|
result[0] = cosAngle;
|
|
result[1] = 0;
|
|
result[2] = -sinAngle;
|
|
result[3] = 0;
|
|
result[4] = 1;
|
|
result[5] = 0;
|
|
result[6] = sinAngle;
|
|
result[7] = 0;
|
|
result[8] = cosAngle;
|
|
return result;
|
|
};
|
|
Matrix3.fromRotationZ = function(angle, result) {
|
|
Check_default.typeOf.number("angle", angle);
|
|
const cosAngle = Math.cos(angle);
|
|
const sinAngle = Math.sin(angle);
|
|
if (!defined_default(result)) {
|
|
return new Matrix3(
|
|
cosAngle,
|
|
-sinAngle,
|
|
0,
|
|
sinAngle,
|
|
cosAngle,
|
|
0,
|
|
0,
|
|
0,
|
|
1
|
|
);
|
|
}
|
|
result[0] = cosAngle;
|
|
result[1] = sinAngle;
|
|
result[2] = 0;
|
|
result[3] = -sinAngle;
|
|
result[4] = cosAngle;
|
|
result[5] = 0;
|
|
result[6] = 0;
|
|
result[7] = 0;
|
|
result[8] = 1;
|
|
return result;
|
|
};
|
|
Matrix3.toArray = function(matrix, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
if (!defined_default(result)) {
|
|
return [
|
|
matrix[0],
|
|
matrix[1],
|
|
matrix[2],
|
|
matrix[3],
|
|
matrix[4],
|
|
matrix[5],
|
|
matrix[6],
|
|
matrix[7],
|
|
matrix[8]
|
|
];
|
|
}
|
|
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];
|
|
return result;
|
|
};
|
|
Matrix3.getElementIndex = function(column, row) {
|
|
Check_default.typeOf.number.greaterThanOrEquals("row", row, 0);
|
|
Check_default.typeOf.number.lessThanOrEquals("row", row, 2);
|
|
Check_default.typeOf.number.greaterThanOrEquals("column", column, 0);
|
|
Check_default.typeOf.number.lessThanOrEquals("column", column, 2);
|
|
return column * 3 + row;
|
|
};
|
|
Matrix3.getColumn = function(matrix, index, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.number.greaterThanOrEquals("index", index, 0);
|
|
Check_default.typeOf.number.lessThanOrEquals("index", index, 2);
|
|
Check_default.typeOf.object("result", result);
|
|
const startIndex = index * 3;
|
|
const x = matrix[startIndex];
|
|
const y = matrix[startIndex + 1];
|
|
const z = matrix[startIndex + 2];
|
|
result.x = x;
|
|
result.y = y;
|
|
result.z = z;
|
|
return result;
|
|
};
|
|
Matrix3.setColumn = function(matrix, index, cartesian, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.number.greaterThanOrEquals("index", index, 0);
|
|
Check_default.typeOf.number.lessThanOrEquals("index", index, 2);
|
|
Check_default.typeOf.object("cartesian", cartesian);
|
|
Check_default.typeOf.object("result", result);
|
|
result = Matrix3.clone(matrix, result);
|
|
const startIndex = index * 3;
|
|
result[startIndex] = cartesian.x;
|
|
result[startIndex + 1] = cartesian.y;
|
|
result[startIndex + 2] = cartesian.z;
|
|
return result;
|
|
};
|
|
Matrix3.getRow = function(matrix, index, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.number.greaterThanOrEquals("index", index, 0);
|
|
Check_default.typeOf.number.lessThanOrEquals("index", index, 2);
|
|
Check_default.typeOf.object("result", result);
|
|
const x = matrix[index];
|
|
const y = matrix[index + 3];
|
|
const z = matrix[index + 6];
|
|
result.x = x;
|
|
result.y = y;
|
|
result.z = z;
|
|
return result;
|
|
};
|
|
Matrix3.setRow = function(matrix, index, cartesian, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.number.greaterThanOrEquals("index", index, 0);
|
|
Check_default.typeOf.number.lessThanOrEquals("index", index, 2);
|
|
Check_default.typeOf.object("cartesian", cartesian);
|
|
Check_default.typeOf.object("result", result);
|
|
result = Matrix3.clone(matrix, result);
|
|
result[index] = cartesian.x;
|
|
result[index + 3] = cartesian.y;
|
|
result[index + 6] = cartesian.z;
|
|
return result;
|
|
};
|
|
var scaleScratch1 = new Cartesian3_default();
|
|
Matrix3.setScale = function(matrix, scale, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.object("scale", scale);
|
|
Check_default.typeOf.object("result", result);
|
|
const existingScale = Matrix3.getScale(matrix, scaleScratch1);
|
|
const scaleRatioX = scale.x / existingScale.x;
|
|
const scaleRatioY = scale.y / existingScale.y;
|
|
const scaleRatioZ = scale.z / existingScale.z;
|
|
result[0] = matrix[0] * scaleRatioX;
|
|
result[1] = matrix[1] * scaleRatioX;
|
|
result[2] = matrix[2] * scaleRatioX;
|
|
result[3] = matrix[3] * scaleRatioY;
|
|
result[4] = matrix[4] * scaleRatioY;
|
|
result[5] = matrix[5] * scaleRatioY;
|
|
result[6] = matrix[6] * scaleRatioZ;
|
|
result[7] = matrix[7] * scaleRatioZ;
|
|
result[8] = matrix[8] * scaleRatioZ;
|
|
return result;
|
|
};
|
|
var scaleScratch2 = new Cartesian3_default();
|
|
Matrix3.setUniformScale = function(matrix, scale, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.number("scale", scale);
|
|
Check_default.typeOf.object("result", result);
|
|
const existingScale = Matrix3.getScale(matrix, scaleScratch2);
|
|
const scaleRatioX = scale / existingScale.x;
|
|
const scaleRatioY = scale / existingScale.y;
|
|
const scaleRatioZ = scale / existingScale.z;
|
|
result[0] = matrix[0] * scaleRatioX;
|
|
result[1] = matrix[1] * scaleRatioX;
|
|
result[2] = matrix[2] * scaleRatioX;
|
|
result[3] = matrix[3] * scaleRatioY;
|
|
result[4] = matrix[4] * scaleRatioY;
|
|
result[5] = matrix[5] * scaleRatioY;
|
|
result[6] = matrix[6] * scaleRatioZ;
|
|
result[7] = matrix[7] * scaleRatioZ;
|
|
result[8] = matrix[8] * scaleRatioZ;
|
|
return result;
|
|
};
|
|
var scratchColumn = new Cartesian3_default();
|
|
Matrix3.getScale = function(matrix, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.object("result", result);
|
|
result.x = Cartesian3_default.magnitude(
|
|
Cartesian3_default.fromElements(matrix[0], matrix[1], matrix[2], scratchColumn)
|
|
);
|
|
result.y = Cartesian3_default.magnitude(
|
|
Cartesian3_default.fromElements(matrix[3], matrix[4], matrix[5], scratchColumn)
|
|
);
|
|
result.z = Cartesian3_default.magnitude(
|
|
Cartesian3_default.fromElements(matrix[6], matrix[7], matrix[8], scratchColumn)
|
|
);
|
|
return result;
|
|
};
|
|
var scaleScratch3 = new Cartesian3_default();
|
|
Matrix3.getMaximumScale = function(matrix) {
|
|
Matrix3.getScale(matrix, scaleScratch3);
|
|
return Cartesian3_default.maximumComponent(scaleScratch3);
|
|
};
|
|
var scaleScratch4 = new Cartesian3_default();
|
|
Matrix3.setRotation = function(matrix, rotation, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.object("result", result);
|
|
const scale = Matrix3.getScale(matrix, scaleScratch4);
|
|
result[0] = rotation[0] * scale.x;
|
|
result[1] = rotation[1] * scale.x;
|
|
result[2] = rotation[2] * scale.x;
|
|
result[3] = rotation[3] * scale.y;
|
|
result[4] = rotation[4] * scale.y;
|
|
result[5] = rotation[5] * scale.y;
|
|
result[6] = rotation[6] * scale.z;
|
|
result[7] = rotation[7] * scale.z;
|
|
result[8] = rotation[8] * scale.z;
|
|
return result;
|
|
};
|
|
var scaleScratch5 = new Cartesian3_default();
|
|
Matrix3.getRotation = function(matrix, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.object("result", result);
|
|
const scale = Matrix3.getScale(matrix, scaleScratch5);
|
|
result[0] = matrix[0] / scale.x;
|
|
result[1] = matrix[1] / scale.x;
|
|
result[2] = matrix[2] / scale.x;
|
|
result[3] = matrix[3] / scale.y;
|
|
result[4] = matrix[4] / scale.y;
|
|
result[5] = matrix[5] / scale.y;
|
|
result[6] = matrix[6] / scale.z;
|
|
result[7] = matrix[7] / scale.z;
|
|
result[8] = matrix[8] / scale.z;
|
|
return result;
|
|
};
|
|
Matrix3.multiply = function(left, right, result) {
|
|
Check_default.typeOf.object("left", left);
|
|
Check_default.typeOf.object("right", right);
|
|
Check_default.typeOf.object("result", result);
|
|
const column0Row0 = left[0] * right[0] + left[3] * right[1] + left[6] * right[2];
|
|
const column0Row1 = left[1] * right[0] + left[4] * right[1] + left[7] * right[2];
|
|
const column0Row2 = left[2] * right[0] + left[5] * right[1] + left[8] * right[2];
|
|
const column1Row0 = left[0] * right[3] + left[3] * right[4] + left[6] * right[5];
|
|
const column1Row1 = left[1] * right[3] + left[4] * right[4] + left[7] * right[5];
|
|
const column1Row2 = left[2] * right[3] + left[5] * right[4] + left[8] * right[5];
|
|
const column2Row0 = left[0] * right[6] + left[3] * right[7] + left[6] * right[8];
|
|
const column2Row1 = left[1] * right[6] + left[4] * right[7] + left[7] * right[8];
|
|
const column2Row2 = left[2] * right[6] + left[5] * right[7] + left[8] * right[8];
|
|
result[0] = column0Row0;
|
|
result[1] = column0Row1;
|
|
result[2] = column0Row2;
|
|
result[3] = column1Row0;
|
|
result[4] = column1Row1;
|
|
result[5] = column1Row2;
|
|
result[6] = column2Row0;
|
|
result[7] = column2Row1;
|
|
result[8] = column2Row2;
|
|
return result;
|
|
};
|
|
Matrix3.add = function(left, right, result) {
|
|
Check_default.typeOf.object("left", left);
|
|
Check_default.typeOf.object("right", right);
|
|
Check_default.typeOf.object("result", result);
|
|
result[0] = left[0] + right[0];
|
|
result[1] = left[1] + right[1];
|
|
result[2] = left[2] + right[2];
|
|
result[3] = left[3] + right[3];
|
|
result[4] = left[4] + right[4];
|
|
result[5] = left[5] + right[5];
|
|
result[6] = left[6] + right[6];
|
|
result[7] = left[7] + right[7];
|
|
result[8] = left[8] + right[8];
|
|
return result;
|
|
};
|
|
Matrix3.subtract = function(left, right, result) {
|
|
Check_default.typeOf.object("left", left);
|
|
Check_default.typeOf.object("right", right);
|
|
Check_default.typeOf.object("result", result);
|
|
result[0] = left[0] - right[0];
|
|
result[1] = left[1] - right[1];
|
|
result[2] = left[2] - right[2];
|
|
result[3] = left[3] - right[3];
|
|
result[4] = left[4] - right[4];
|
|
result[5] = left[5] - right[5];
|
|
result[6] = left[6] - right[6];
|
|
result[7] = left[7] - right[7];
|
|
result[8] = left[8] - right[8];
|
|
return result;
|
|
};
|
|
Matrix3.multiplyByVector = function(matrix, cartesian, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.object("cartesian", cartesian);
|
|
Check_default.typeOf.object("result", result);
|
|
const vX = cartesian.x;
|
|
const vY = cartesian.y;
|
|
const vZ = cartesian.z;
|
|
const x = matrix[0] * vX + matrix[3] * vY + matrix[6] * vZ;
|
|
const y = matrix[1] * vX + matrix[4] * vY + matrix[7] * vZ;
|
|
const z = matrix[2] * vX + matrix[5] * vY + matrix[8] * vZ;
|
|
result.x = x;
|
|
result.y = y;
|
|
result.z = z;
|
|
return result;
|
|
};
|
|
Matrix3.multiplyByScalar = function(matrix, scalar, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.number("scalar", scalar);
|
|
Check_default.typeOf.object("result", result);
|
|
result[0] = matrix[0] * scalar;
|
|
result[1] = matrix[1] * scalar;
|
|
result[2] = matrix[2] * scalar;
|
|
result[3] = matrix[3] * scalar;
|
|
result[4] = matrix[4] * scalar;
|
|
result[5] = matrix[5] * scalar;
|
|
result[6] = matrix[6] * scalar;
|
|
result[7] = matrix[7] * scalar;
|
|
result[8] = matrix[8] * scalar;
|
|
return result;
|
|
};
|
|
Matrix3.multiplyByScale = function(matrix, scale, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.object("scale", scale);
|
|
Check_default.typeOf.object("result", result);
|
|
result[0] = matrix[0] * scale.x;
|
|
result[1] = matrix[1] * scale.x;
|
|
result[2] = matrix[2] * scale.x;
|
|
result[3] = matrix[3] * scale.y;
|
|
result[4] = matrix[4] * scale.y;
|
|
result[5] = matrix[5] * scale.y;
|
|
result[6] = matrix[6] * scale.z;
|
|
result[7] = matrix[7] * scale.z;
|
|
result[8] = matrix[8] * scale.z;
|
|
return result;
|
|
};
|
|
Matrix3.multiplyByUniformScale = function(matrix, scale, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.number("scale", scale);
|
|
Check_default.typeOf.object("result", result);
|
|
result[0] = matrix[0] * scale;
|
|
result[1] = matrix[1] * scale;
|
|
result[2] = matrix[2] * scale;
|
|
result[3] = matrix[3] * scale;
|
|
result[4] = matrix[4] * scale;
|
|
result[5] = matrix[5] * scale;
|
|
result[6] = matrix[6] * scale;
|
|
result[7] = matrix[7] * scale;
|
|
result[8] = matrix[8] * scale;
|
|
return result;
|
|
};
|
|
Matrix3.negate = function(matrix, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.object("result", result);
|
|
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];
|
|
return result;
|
|
};
|
|
Matrix3.transpose = function(matrix, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.object("result", result);
|
|
const column0Row0 = matrix[0];
|
|
const column0Row1 = matrix[3];
|
|
const column0Row2 = matrix[6];
|
|
const column1Row0 = matrix[1];
|
|
const column1Row1 = matrix[4];
|
|
const column1Row2 = matrix[7];
|
|
const column2Row0 = matrix[2];
|
|
const column2Row1 = matrix[5];
|
|
const column2Row2 = matrix[8];
|
|
result[0] = column0Row0;
|
|
result[1] = column0Row1;
|
|
result[2] = column0Row2;
|
|
result[3] = column1Row0;
|
|
result[4] = column1Row1;
|
|
result[5] = column1Row2;
|
|
result[6] = column2Row0;
|
|
result[7] = column2Row1;
|
|
result[8] = column2Row2;
|
|
return result;
|
|
};
|
|
function computeFrobeniusNorm(matrix) {
|
|
let norm = 0;
|
|
for (let i = 0; i < 9; ++i) {
|
|
const temp = matrix[i];
|
|
norm += temp * temp;
|
|
}
|
|
return Math.sqrt(norm);
|
|
}
|
|
var rowVal = [1, 0, 0];
|
|
var colVal = [2, 2, 1];
|
|
function offDiagonalFrobeniusNorm(matrix) {
|
|
let norm = 0;
|
|
for (let i = 0; i < 3; ++i) {
|
|
const temp = matrix[Matrix3.getElementIndex(colVal[i], rowVal[i])];
|
|
norm += 2 * temp * temp;
|
|
}
|
|
return Math.sqrt(norm);
|
|
}
|
|
function shurDecomposition(matrix, result) {
|
|
const tolerance = Math_default.EPSILON15;
|
|
let maxDiagonal = 0;
|
|
let rotAxis = 1;
|
|
for (let i = 0; i < 3; ++i) {
|
|
const temp = Math.abs(
|
|
matrix[Matrix3.getElementIndex(colVal[i], rowVal[i])]
|
|
);
|
|
if (temp > maxDiagonal) {
|
|
rotAxis = i;
|
|
maxDiagonal = temp;
|
|
}
|
|
}
|
|
let c = 1;
|
|
let s = 0;
|
|
const p = rowVal[rotAxis];
|
|
const q = colVal[rotAxis];
|
|
if (Math.abs(matrix[Matrix3.getElementIndex(q, p)]) > tolerance) {
|
|
const qq = matrix[Matrix3.getElementIndex(q, q)];
|
|
const pp = matrix[Matrix3.getElementIndex(p, p)];
|
|
const qp = matrix[Matrix3.getElementIndex(q, p)];
|
|
const tau = (qq - pp) / 2 / qp;
|
|
let t;
|
|
if (tau < 0) {
|
|
t = -1 / (-tau + Math.sqrt(1 + tau * tau));
|
|
} else {
|
|
t = 1 / (tau + Math.sqrt(1 + tau * tau));
|
|
}
|
|
c = 1 / Math.sqrt(1 + t * t);
|
|
s = t * c;
|
|
}
|
|
result = Matrix3.clone(Matrix3.IDENTITY, result);
|
|
result[Matrix3.getElementIndex(p, p)] = result[Matrix3.getElementIndex(q, q)] = c;
|
|
result[Matrix3.getElementIndex(q, p)] = s;
|
|
result[Matrix3.getElementIndex(p, q)] = -s;
|
|
return result;
|
|
}
|
|
var jMatrix = new Matrix3();
|
|
var jMatrixTranspose = new Matrix3();
|
|
Matrix3.computeEigenDecomposition = function(matrix, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
const tolerance = Math_default.EPSILON20;
|
|
const maxSweeps = 10;
|
|
let count = 0;
|
|
let sweep = 0;
|
|
if (!defined_default(result)) {
|
|
result = {};
|
|
}
|
|
const unitaryMatrix = result.unitary = Matrix3.clone(
|
|
Matrix3.IDENTITY,
|
|
result.unitary
|
|
);
|
|
const diagMatrix = result.diagonal = Matrix3.clone(matrix, result.diagonal);
|
|
const epsilon = tolerance * computeFrobeniusNorm(diagMatrix);
|
|
while (sweep < maxSweeps && offDiagonalFrobeniusNorm(diagMatrix) > epsilon) {
|
|
shurDecomposition(diagMatrix, jMatrix);
|
|
Matrix3.transpose(jMatrix, jMatrixTranspose);
|
|
Matrix3.multiply(diagMatrix, jMatrix, diagMatrix);
|
|
Matrix3.multiply(jMatrixTranspose, diagMatrix, diagMatrix);
|
|
Matrix3.multiply(unitaryMatrix, jMatrix, unitaryMatrix);
|
|
if (++count > 2) {
|
|
++sweep;
|
|
count = 0;
|
|
}
|
|
}
|
|
return result;
|
|
};
|
|
Matrix3.abs = function(matrix, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.object("result", result);
|
|
result[0] = Math.abs(matrix[0]);
|
|
result[1] = Math.abs(matrix[1]);
|
|
result[2] = Math.abs(matrix[2]);
|
|
result[3] = Math.abs(matrix[3]);
|
|
result[4] = Math.abs(matrix[4]);
|
|
result[5] = Math.abs(matrix[5]);
|
|
result[6] = Math.abs(matrix[6]);
|
|
result[7] = Math.abs(matrix[7]);
|
|
result[8] = Math.abs(matrix[8]);
|
|
return result;
|
|
};
|
|
Matrix3.determinant = function(matrix) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
const m11 = matrix[0];
|
|
const m21 = matrix[3];
|
|
const m31 = matrix[6];
|
|
const m12 = matrix[1];
|
|
const m22 = matrix[4];
|
|
const m32 = matrix[7];
|
|
const m13 = matrix[2];
|
|
const m23 = matrix[5];
|
|
const m33 = matrix[8];
|
|
return m11 * (m22 * m33 - m23 * m32) + m12 * (m23 * m31 - m21 * m33) + m13 * (m21 * m32 - m22 * m31);
|
|
};
|
|
Matrix3.inverse = function(matrix, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.object("result", result);
|
|
const m11 = matrix[0];
|
|
const m21 = matrix[1];
|
|
const m31 = matrix[2];
|
|
const m12 = matrix[3];
|
|
const m22 = matrix[4];
|
|
const m32 = matrix[5];
|
|
const m13 = matrix[6];
|
|
const m23 = matrix[7];
|
|
const m33 = matrix[8];
|
|
const determinant = Matrix3.determinant(matrix);
|
|
if (Math.abs(determinant) <= Math_default.EPSILON15) {
|
|
throw new DeveloperError_default("matrix is not invertible");
|
|
}
|
|
result[0] = m22 * m33 - m23 * m32;
|
|
result[1] = m23 * m31 - m21 * m33;
|
|
result[2] = m21 * m32 - m22 * m31;
|
|
result[3] = m13 * m32 - m12 * m33;
|
|
result[4] = m11 * m33 - m13 * m31;
|
|
result[5] = m12 * m31 - m11 * m32;
|
|
result[6] = m12 * m23 - m13 * m22;
|
|
result[7] = m13 * m21 - m11 * m23;
|
|
result[8] = m11 * m22 - m12 * m21;
|
|
const scale = 1 / determinant;
|
|
return Matrix3.multiplyByScalar(result, scale, result);
|
|
};
|
|
var scratchTransposeMatrix = new Matrix3();
|
|
Matrix3.inverseTranspose = function(matrix, result) {
|
|
Check_default.typeOf.object("matrix", matrix);
|
|
Check_default.typeOf.object("result", result);
|
|
return Matrix3.inverse(
|
|
Matrix3.transpose(matrix, scratchTransposeMatrix),
|
|
result
|
|
);
|
|
};
|
|
Matrix3.equals = function(left, right) {
|
|
return left === right || defined_default(left) && defined_default(right) && left[0] === right[0] && left[1] === right[1] && left[2] === right[2] && left[3] === right[3] && left[4] === right[4] && left[5] === right[5] && left[6] === right[6] && left[7] === right[7] && left[8] === right[8];
|
|
};
|
|
Matrix3.equalsEpsilon = function(left, right, epsilon) {
|
|
epsilon = defaultValue_default(epsilon, 0);
|
|
return left === right || defined_default(left) && defined_default(right) && Math.abs(left[0] - right[0]) <= epsilon && Math.abs(left[1] - right[1]) <= epsilon && Math.abs(left[2] - right[2]) <= epsilon && Math.abs(left[3] - right[3]) <= epsilon && Math.abs(left[4] - right[4]) <= epsilon && Math.abs(left[5] - right[5]) <= epsilon && Math.abs(left[6] - right[6]) <= epsilon && Math.abs(left[7] - right[7]) <= epsilon && Math.abs(left[8] - right[8]) <= epsilon;
|
|
};
|
|
Matrix3.IDENTITY = Object.freeze(
|
|
new Matrix3(1, 0, 0, 0, 1, 0, 0, 0, 1)
|
|
);
|
|
Matrix3.ZERO = Object.freeze(
|
|
new Matrix3(0, 0, 0, 0, 0, 0, 0, 0, 0)
|
|
);
|
|
Matrix3.COLUMN0ROW0 = 0;
|
|
Matrix3.COLUMN0ROW1 = 1;
|
|
Matrix3.COLUMN0ROW2 = 2;
|
|
Matrix3.COLUMN1ROW0 = 3;
|
|
Matrix3.COLUMN1ROW1 = 4;
|
|
Matrix3.COLUMN1ROW2 = 5;
|
|
Matrix3.COLUMN2ROW0 = 6;
|
|
Matrix3.COLUMN2ROW1 = 7;
|
|
Matrix3.COLUMN2ROW2 = 8;
|
|
Object.defineProperties(Matrix3.prototype, {
|
|
/**
|
|
* Gets the number of items in the collection.
|
|
* @memberof Matrix3.prototype
|
|
*
|
|
* @type {number}
|
|
*/
|
|
length: {
|
|
get: function() {
|
|
return Matrix3.packedLength;
|
|
}
|
|
}
|
|
});
|
|
Matrix3.prototype.clone = function(result) {
|
|
return Matrix3.clone(this, result);
|
|
};
|
|
Matrix3.prototype.equals = function(right) {
|
|
return Matrix3.equals(this, right);
|
|
};
|
|
Matrix3.equalsArray = function(matrix, array, offset) {
|
|
return matrix[0] === array[offset] && matrix[1] === array[offset + 1] && matrix[2] === array[offset + 2] && matrix[3] === array[offset + 3] && matrix[4] === array[offset + 4] && matrix[5] === array[offset + 5] && matrix[6] === array[offset + 6] && matrix[7] === array[offset + 7] && matrix[8] === array[offset + 8];
|
|
};
|
|
Matrix3.prototype.equalsEpsilon = function(right, epsilon) {
|
|
return Matrix3.equalsEpsilon(this, right, epsilon);
|
|
};
|
|
Matrix3.prototype.toString = function() {
|
|
return `(${this[0]}, ${this[3]}, ${this[6]})
|
|
(${this[1]}, ${this[4]}, ${this[7]})
|
|
(${this[2]}, ${this[5]}, ${this[8]})`;
|
|
};
|
|
var Matrix3_default = Matrix3;
|
|
|
|
// packages/engine/Source/Core/Fullscreen.js
|
|
var _supportsFullscreen;
|
|
var _names = {
|
|
requestFullscreen: void 0,
|
|
exitFullscreen: void 0,
|
|
fullscreenEnabled: void 0,
|
|
fullscreenElement: void 0,
|
|
fullscreenchange: void 0,
|
|
fullscreenerror: void 0
|
|
};
|
|
var Fullscreen = {};
|
|
Object.defineProperties(Fullscreen, {
|
|
/**
|
|
* The element that is currently fullscreen, if any. To simply check if the
|
|
* browser is in fullscreen mode or not, use {@link Fullscreen#fullscreen}.
|
|
* @memberof Fullscreen
|
|
* @type {object}
|
|
* @readonly
|
|
*/
|
|
element: {
|
|
get: function() {
|
|
if (!Fullscreen.supportsFullscreen()) {
|
|
return void 0;
|
|
}
|
|
return document[_names.fullscreenElement];
|
|
}
|
|
},
|
|
/**
|
|
* The name of the event on the document that is fired when fullscreen is
|
|
* entered or exited. This event name is intended for use with addEventListener.
|
|
* In your event handler, to determine if the browser is in fullscreen mode or not,
|
|
* use {@link Fullscreen#fullscreen}.
|
|
* @memberof Fullscreen
|
|
* @type {string}
|
|
* @readonly
|
|
*/
|
|
changeEventName: {
|
|
get: function() {
|
|
if (!Fullscreen.supportsFullscreen()) {
|
|
return void 0;
|
|
}
|
|
return _names.fullscreenchange;
|
|
}
|
|
},
|
|
/**
|
|
* The name of the event that is fired when a fullscreen error
|
|
* occurs. This event name is intended for use with addEventListener.
|
|
* @memberof Fullscreen
|
|
* @type {string}
|
|
* @readonly
|
|
*/
|
|
errorEventName: {
|
|
get: function() {
|
|
if (!Fullscreen.supportsFullscreen()) {
|
|
return void 0;
|
|
}
|
|
return _names.fullscreenerror;
|
|
}
|
|
},
|
|
/**
|
|
* Determine whether the browser will allow an element to be made fullscreen, or not.
|
|
* For example, by default, iframes cannot go fullscreen unless the containing page
|
|
* adds an "allowfullscreen" attribute (or prefixed equivalent).
|
|
* @memberof Fullscreen
|
|
* @type {boolean}
|
|
* @readonly
|
|
*/
|
|
enabled: {
|
|
get: function() {
|
|
if (!Fullscreen.supportsFullscreen()) {
|
|
return void 0;
|
|
}
|
|
return document[_names.fullscreenEnabled];
|
|
}
|
|
},
|
|
/**
|
|
* Determines if the browser is currently in fullscreen mode.
|
|
* @memberof Fullscreen
|
|
* @type {boolean}
|
|
* @readonly
|
|
*/
|
|
fullscreen: {
|
|
get: function() {
|
|
if (!Fullscreen.supportsFullscreen()) {
|
|
return void 0;
|
|
}
|
|
return Fullscreen.element !== null;
|
|
}
|
|
}
|
|
});
|
|
Fullscreen.supportsFullscreen = function() {
|
|
if (defined_default(_supportsFullscreen)) {
|
|
return _supportsFullscreen;
|
|
}
|
|
_supportsFullscreen = false;
|
|
const body = document.body;
|
|
if (typeof body.requestFullscreen === "function") {
|
|
_names.requestFullscreen = "requestFullscreen";
|
|
_names.exitFullscreen = "exitFullscreen";
|
|
_names.fullscreenEnabled = "fullscreenEnabled";
|
|
_names.fullscreenElement = "fullscreenElement";
|
|
_names.fullscreenchange = "fullscreenchange";
|
|
_names.fullscreenerror = "fullscreenerror";
|
|
_supportsFullscreen = true;
|
|
return _supportsFullscreen;
|
|
}
|
|
const prefixes = ["webkit", "moz", "o", "ms", "khtml"];
|
|
let name;
|
|
for (let i = 0, len = prefixes.length; i < len; ++i) {
|
|
const prefix = prefixes[i];
|
|
name = `${prefix}RequestFullscreen`;
|
|
if (typeof body[name] === "function") {
|
|
_names.requestFullscreen = name;
|
|
_supportsFullscreen = true;
|
|
} else {
|
|
name = `${prefix}RequestFullScreen`;
|
|
if (typeof body[name] === "function") {
|
|
_names.requestFullscreen = name;
|
|
_supportsFullscreen = true;
|
|
}
|
|
}
|
|
name = `${prefix}ExitFullscreen`;
|
|
if (typeof document[name] === "function") {
|
|
_names.exitFullscreen = name;
|
|
} else {
|
|
name = `${prefix}CancelFullScreen`;
|
|
if (typeof document[name] === "function") {
|
|
_names.exitFullscreen = name;
|
|
}
|
|
}
|
|
name = `${prefix}FullscreenEnabled`;
|
|
if (document[name] !== void 0) {
|
|
_names.fullscreenEnabled = name;
|
|
} else {
|
|
name = `${prefix}FullScreenEnabled`;
|
|
if (document[name] !== void 0) {
|
|
_names.fullscreenEnabled = name;
|
|
}
|
|
}
|
|
name = `${prefix}FullscreenElement`;
|
|
if (document[name] !== void 0) {
|
|
_names.fullscreenElement = name;
|
|
} else {
|
|
name = `${prefix}FullScreenElement`;
|
|
if (document[name] !== void 0) {
|
|
_names.fullscreenElement = name;
|
|
}
|
|
}
|
|
name = `${prefix}fullscreenchange`;
|
|
if (document[`on${name}`] !== void 0) {
|
|
if (prefix === "ms") {
|
|
name = "MSFullscreenChange";
|
|
}
|
|
_names.fullscreenchange = name;
|
|
}
|
|
name = `${prefix}fullscreenerror`;
|
|
if (document[`on${name}`] !== void 0) {
|
|
if (prefix === "ms") {
|
|
name = "MSFullscreenError";
|
|
}
|
|
_names.fullscreenerror = name;
|
|
}
|
|
}
|
|
return _supportsFullscreen;
|
|
};
|
|
Fullscreen.requestFullscreen = function(element, vrDevice) {
|
|
if (!Fullscreen.supportsFullscreen()) {
|
|
return;
|
|
}
|
|
element[_names.requestFullscreen]({ vrDisplay: vrDevice });
|
|
};
|
|
Fullscreen.exitFullscreen = function() {
|
|
if (!Fullscreen.supportsFullscreen()) {
|
|
return;
|
|
}
|
|
document[_names.exitFullscreen]();
|
|
};
|
|
Fullscreen._names = _names;
|
|
var Fullscreen_default = Fullscreen;
|
|
|
|
// packages/engine/Source/Core/FeatureDetection.js
|
|
var theNavigator;
|
|
if (typeof navigator !== "undefined") {
|
|
theNavigator = navigator;
|
|
} else {
|
|
theNavigator = {};
|
|
}
|
|
function extractVersion(versionString) {
|
|
const parts = versionString.split(".");
|
|
for (let i = 0, len = parts.length; i < len; ++i) {
|
|
parts[i] = parseInt(parts[i], 10);
|
|
}
|
|
return parts;
|
|
}
|
|
var isChromeResult;
|
|
var chromeVersionResult;
|
|
function isChrome() {
|
|
if (!defined_default(isChromeResult)) {
|
|
isChromeResult = false;
|
|
if (!isEdge()) {
|
|
const fields = / Chrome\/([\.0-9]+)/.exec(theNavigator.userAgent);
|
|
if (fields !== null) {
|
|
isChromeResult = true;
|
|
chromeVersionResult = extractVersion(fields[1]);
|
|
}
|
|
}
|
|
}
|
|
return isChromeResult;
|
|
}
|
|
function chromeVersion() {
|
|
return isChrome() && chromeVersionResult;
|
|
}
|
|
var isSafariResult;
|
|
var safariVersionResult;
|
|
function isSafari() {
|
|
if (!defined_default(isSafariResult)) {
|
|
isSafariResult = false;
|
|
if (!isChrome() && !isEdge() && / Safari\/[\.0-9]+/.test(theNavigator.userAgent)) {
|
|
const fields = / Version\/([\.0-9]+)/.exec(theNavigator.userAgent);
|
|
if (fields !== null) {
|
|
isSafariResult = true;
|
|
safariVersionResult = extractVersion(fields[1]);
|
|
}
|
|
}
|
|
}
|
|
return isSafariResult;
|
|
}
|
|
function safariVersion() {
|
|
return isSafari() && safariVersionResult;
|
|
}
|
|
var isWebkitResult;
|
|
var webkitVersionResult;
|
|
function isWebkit() {
|
|
if (!defined_default(isWebkitResult)) {
|
|
isWebkitResult = false;
|
|
const fields = / AppleWebKit\/([\.0-9]+)(\+?)/.exec(theNavigator.userAgent);
|
|
if (fields !== null) {
|
|
isWebkitResult = true;
|
|
webkitVersionResult = extractVersion(fields[1]);
|
|
webkitVersionResult.isNightly = !!fields[2];
|
|
}
|
|
}
|
|
return isWebkitResult;
|
|
}
|
|
function webkitVersion() {
|
|
return isWebkit() && webkitVersionResult;
|
|
}
|
|
var isInternetExplorerResult;
|
|
var internetExplorerVersionResult;
|
|
function isInternetExplorer() {
|
|
if (!defined_default(isInternetExplorerResult)) {
|
|
isInternetExplorerResult = false;
|
|
let fields;
|
|
if (theNavigator.appName === "Microsoft Internet Explorer") {
|
|
fields = /MSIE ([0-9]{1,}[\.0-9]{0,})/.exec(theNavigator.userAgent);
|
|
if (fields !== null) {
|
|
isInternetExplorerResult = true;
|
|
internetExplorerVersionResult = extractVersion(fields[1]);
|
|
}
|
|
} else if (theNavigator.appName === "Netscape") {
|
|
fields = /Trident\/.*rv:([0-9]{1,}[\.0-9]{0,})/.exec(
|
|
theNavigator.userAgent
|
|
);
|
|
if (fields !== null) {
|
|
isInternetExplorerResult = true;
|
|
internetExplorerVersionResult = extractVersion(fields[1]);
|
|
}
|
|
}
|
|
}
|
|
return isInternetExplorerResult;
|
|
}
|
|
function internetExplorerVersion() {
|
|
return isInternetExplorer() && internetExplorerVersionResult;
|
|
}
|
|
var isEdgeResult;
|
|
var edgeVersionResult;
|
|
function isEdge() {
|
|
if (!defined_default(isEdgeResult)) {
|
|
isEdgeResult = false;
|
|
const fields = / Edg\/([\.0-9]+)/.exec(theNavigator.userAgent);
|
|
if (fields !== null) {
|
|
isEdgeResult = true;
|
|
edgeVersionResult = extractVersion(fields[1]);
|
|
}
|
|
}
|
|
return isEdgeResult;
|
|
}
|
|
function edgeVersion() {
|
|
return isEdge() && edgeVersionResult;
|
|
}
|
|
var isFirefoxResult;
|
|
var firefoxVersionResult;
|
|
function isFirefox() {
|
|
if (!defined_default(isFirefoxResult)) {
|
|
isFirefoxResult = false;
|
|
const fields = /Firefox\/([\.0-9]+)/.exec(theNavigator.userAgent);
|
|
if (fields !== null) {
|
|
isFirefoxResult = true;
|
|
firefoxVersionResult = extractVersion(fields[1]);
|
|
}
|
|
}
|
|
return isFirefoxResult;
|
|
}
|
|
var isWindowsResult;
|
|
function isWindows() {
|
|
if (!defined_default(isWindowsResult)) {
|
|
isWindowsResult = /Windows/i.test(theNavigator.appVersion);
|
|
}
|
|
return isWindowsResult;
|
|
}
|
|
var isIPadOrIOSResult;
|
|
function isIPadOrIOS() {
|
|
if (!defined_default(isIPadOrIOSResult)) {
|
|
isIPadOrIOSResult = navigator.platform === "iPhone" || navigator.platform === "iPod" || navigator.platform === "iPad";
|
|
}
|
|
return isIPadOrIOSResult;
|
|
}
|
|
function firefoxVersion() {
|
|
return isFirefox() && firefoxVersionResult;
|
|
}
|
|
var hasPointerEvents;
|
|
function supportsPointerEvents() {
|
|
if (!defined_default(hasPointerEvents)) {
|
|
hasPointerEvents = !isFirefox() && typeof PointerEvent !== "undefined" && (!defined_default(theNavigator.pointerEnabled) || theNavigator.pointerEnabled);
|
|
}
|
|
return hasPointerEvents;
|
|
}
|
|
var imageRenderingValueResult;
|
|
var supportsImageRenderingPixelatedResult;
|
|
function supportsImageRenderingPixelated() {
|
|
if (!defined_default(supportsImageRenderingPixelatedResult)) {
|
|
const canvas = document.createElement("canvas");
|
|
canvas.setAttribute(
|
|
"style",
|
|
"image-rendering: -moz-crisp-edges;image-rendering: pixelated;"
|
|
);
|
|
const tmp = canvas.style.imageRendering;
|
|
supportsImageRenderingPixelatedResult = defined_default(tmp) && tmp !== "";
|
|
if (supportsImageRenderingPixelatedResult) {
|
|
imageRenderingValueResult = tmp;
|
|
}
|
|
}
|
|
return supportsImageRenderingPixelatedResult;
|
|
}
|
|
function imageRenderingValue() {
|
|
return supportsImageRenderingPixelated() ? imageRenderingValueResult : void 0;
|
|
}
|
|
function supportsWebP() {
|
|
if (!supportsWebP.initialized) {
|
|
throw new DeveloperError_default(
|
|
"You must call FeatureDetection.supportsWebP.initialize and wait for the promise to resolve before calling FeatureDetection.supportsWebP"
|
|
);
|
|
}
|
|
return supportsWebP._result;
|
|
}
|
|
supportsWebP._promise = void 0;
|
|
supportsWebP._result = void 0;
|
|
supportsWebP.initialize = function() {
|
|
if (defined_default(supportsWebP._promise)) {
|
|
return supportsWebP._promise;
|
|
}
|
|
supportsWebP._promise = new Promise((resolve) => {
|
|
const image = new Image();
|
|
image.onload = function() {
|
|
supportsWebP._result = image.width > 0 && image.height > 0;
|
|
resolve(supportsWebP._result);
|
|
};
|
|
image.onerror = function() {
|
|
supportsWebP._result = false;
|
|
resolve(supportsWebP._result);
|
|
};
|
|
image.src = "data:image/webp;base64,UklGRiIAAABXRUJQVlA4IBYAAAAwAQCdASoBAAEADsD+JaQAA3AAAAAA";
|
|
});
|
|
return supportsWebP._promise;
|
|
};
|
|
Object.defineProperties(supportsWebP, {
|
|
initialized: {
|
|
get: function() {
|
|
return defined_default(supportsWebP._result);
|
|
}
|
|
}
|
|
});
|
|
var typedArrayTypes = [];
|
|
if (typeof ArrayBuffer !== "undefined") {
|
|
typedArrayTypes.push(
|
|
Int8Array,
|
|
Uint8Array,
|
|
Int16Array,
|
|
Uint16Array,
|
|
Int32Array,
|
|
Uint32Array,
|
|
Float32Array,
|
|
Float64Array
|
|
);
|
|
if (typeof Uint8ClampedArray !== "undefined") {
|
|
typedArrayTypes.push(Uint8ClampedArray);
|
|
}
|
|
if (typeof Uint8ClampedArray !== "undefined") {
|
|
typedArrayTypes.push(Uint8ClampedArray);
|
|
}
|
|
if (typeof BigInt64Array !== "undefined") {
|
|
typedArrayTypes.push(BigInt64Array);
|
|
}
|
|
if (typeof BigUint64Array !== "undefined") {
|
|
typedArrayTypes.push(BigUint64Array);
|
|
}
|
|
}
|
|
var FeatureDetection = {
|
|
isChrome,
|
|
chromeVersion,
|
|
isSafari,
|
|
safariVersion,
|
|
isWebkit,
|
|
webkitVersion,
|
|
isInternetExplorer,
|
|
internetExplorerVersion,
|
|
isEdge,
|
|
edgeVersion,
|
|
isFirefox,
|
|
firefoxVersion,
|
|
isWindows,
|
|
isIPadOrIOS,
|
|
hardwareConcurrency: defaultValue_default(theNavigator.hardwareConcurrency, 3),
|
|
supportsPointerEvents,
|
|
supportsImageRenderingPixelated,
|
|
supportsWebP,
|
|
imageRenderingValue,
|
|
typedArrayTypes
|
|
};
|
|
FeatureDetection.supportsBasis = function(scene) {
|
|
return FeatureDetection.supportsWebAssembly() && scene.context.supportsBasis;
|
|
};
|
|
FeatureDetection.supportsFullscreen = function() {
|
|
return Fullscreen_default.supportsFullscreen();
|
|
};
|
|
FeatureDetection.supportsTypedArrays = function() {
|
|
return typeof ArrayBuffer !== "undefined";
|
|
};
|
|
FeatureDetection.supportsBigInt64Array = function() {
|
|
return typeof BigInt64Array !== "undefined";
|
|
};
|
|
FeatureDetection.supportsBigUint64Array = function() {
|
|
return typeof BigUint64Array !== "undefined";
|
|
};
|
|
FeatureDetection.supportsBigInt = function() {
|
|
return typeof BigInt !== "undefined";
|
|
};
|
|
FeatureDetection.supportsWebWorkers = function() {
|
|
return typeof Worker !== "undefined";
|
|
};
|
|
FeatureDetection.supportsWebAssembly = function() {
|
|
return typeof WebAssembly !== "undefined";
|
|
};
|
|
FeatureDetection.supportsWebgl2 = function(scene) {
|
|
Check_default.defined("scene", scene);
|
|
return scene.context.webgl2;
|
|
};
|
|
FeatureDetection.supportsEsmWebWorkers = function() {
|
|
return !isFirefox() || parseInt(firefoxVersionResult) >= 114;
|
|
};
|
|
var FeatureDetection_default = FeatureDetection;
|
|
|
|
export {
|
|
Cartesian3_default,
|
|
Cartographic_default,
|
|
Cartesian2_default,
|
|
Ellipsoid_default,
|
|
Matrix3_default,
|
|
FeatureDetection_default
|
|
};
|