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7086 lines
232 KiB
7086 lines
232 KiB
define(['exports', './Matrix3-41c58dde', './Check-6ede7e26', './defaultValue-fe22d8c0', './Math-0a2ac845', './RuntimeError-ef395448'], (function (exports, Matrix3, Check, defaultValue, Math$1, RuntimeError) { 'use strict';
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/**
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* A 4D Cartesian point.
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* @alias Cartesian4
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* @constructor
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*
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* @param {number} [x=0.0] The X component.
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* @param {number} [y=0.0] The Y component.
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* @param {number} [z=0.0] The Z component.
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* @param {number} [w=0.0] The W component.
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*
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* @see Cartesian2
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* @see Cartesian3
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* @see Packable
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*/
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function Cartesian4(x, y, z, w) {
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/**
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* The X component.
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* @type {number}
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* @default 0.0
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*/
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this.x = defaultValue.defaultValue(x, 0.0);
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/**
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* The Y component.
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* @type {number}
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* @default 0.0
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*/
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this.y = defaultValue.defaultValue(y, 0.0);
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/**
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* The Z component.
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* @type {number}
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* @default 0.0
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*/
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this.z = defaultValue.defaultValue(z, 0.0);
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/**
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* The W component.
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* @type {number}
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* @default 0.0
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*/
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this.w = defaultValue.defaultValue(w, 0.0);
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}
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/**
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* Creates a Cartesian4 instance from x, y, z and w coordinates.
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*
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* @param {number} x The x coordinate.
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* @param {number} y The y coordinate.
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* @param {number} z The z coordinate.
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* @param {number} w The w coordinate.
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* @param {Cartesian4} [result] The object onto which to store the result.
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* @returns {Cartesian4} The modified result parameter or a new Cartesian4 instance if one was not provided.
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*/
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Cartesian4.fromElements = function (x, y, z, w, result) {
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if (!defaultValue.defined(result)) {
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return new Cartesian4(x, y, z, w);
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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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result.w = w;
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return result;
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};
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/**
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* Creates a Cartesian4 instance from a {@link Color}. <code>red</code>, <code>green</code>, <code>blue</code>,
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* and <code>alpha</code> map to <code>x</code>, <code>y</code>, <code>z</code>, and <code>w</code>, respectively.
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*
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* @param {Color} color The source color.
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* @param {Cartesian4} [result] The object onto which to store the result.
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* @returns {Cartesian4} The modified result parameter or a new Cartesian4 instance if one was not provided.
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*/
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Cartesian4.fromColor = function (color, result) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object("color", color);
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//>>includeEnd('debug');
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if (!defaultValue.defined(result)) {
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return new Cartesian4(color.red, color.green, color.blue, color.alpha);
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}
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result.x = color.red;
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result.y = color.green;
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result.z = color.blue;
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result.w = color.alpha;
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return result;
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};
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/**
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* Duplicates a Cartesian4 instance.
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*
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* @param {Cartesian4} cartesian The Cartesian to duplicate.
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* @param {Cartesian4} [result] The object onto which to store the result.
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* @returns {Cartesian4} The modified result parameter or a new Cartesian4 instance if one was not provided. (Returns undefined if cartesian is undefined)
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*/
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Cartesian4.clone = function (cartesian, result) {
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if (!defaultValue.defined(cartesian)) {
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return undefined;
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}
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if (!defaultValue.defined(result)) {
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return new Cartesian4(cartesian.x, cartesian.y, cartesian.z, cartesian.w);
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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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result.w = cartesian.w;
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return result;
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};
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/**
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* The number of elements used to pack the object into an array.
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* @type {number}
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*/
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Cartesian4.packedLength = 4;
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/**
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* Stores the provided instance into the provided array.
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*
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* @param {Cartesian4} value The value to pack.
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* @param {number[]} array The array to pack into.
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* @param {number} [startingIndex=0] The index into the array at which to start packing the elements.
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*
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* @returns {number[]} The array that was packed into
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*/
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Cartesian4.pack = function (value, array, startingIndex) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object("value", value);
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Check.Check.defined("array", array);
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//>>includeEnd('debug');
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startingIndex = defaultValue.defaultValue(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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array[startingIndex] = value.w;
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return array;
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};
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/**
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* Retrieves an instance from a packed array.
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*
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* @param {number[]} array The packed array.
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* @param {number} [startingIndex=0] The starting index of the element to be unpacked.
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* @param {Cartesian4} [result] The object into which to store the result.
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* @returns {Cartesian4} The modified result parameter or a new Cartesian4 instance if one was not provided.
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*/
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Cartesian4.unpack = function (array, startingIndex, result) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.defined("array", array);
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//>>includeEnd('debug');
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startingIndex = defaultValue.defaultValue(startingIndex, 0);
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if (!defaultValue.defined(result)) {
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result = new Cartesian4();
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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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result.w = array[startingIndex];
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return result;
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};
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/**
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* Flattens an array of Cartesian4s into an array of components.
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*
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* @param {Cartesian4[]} array The array of cartesians to pack.
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* @param {number[]} [result] The array onto which to store the result. If this is a typed array, it must have array.length * 4 components, else a {@link DeveloperError} will be thrown. If it is a regular array, it will be resized to have (array.length * 4) elements.
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* @returns {number[]} The packed array.
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*/
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Cartesian4.packArray = function (array, result) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.defined("array", array);
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//>>includeEnd('debug');
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const length = array.length;
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const resultLength = length * 4;
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if (!defaultValue.defined(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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//>>includeStart('debug', pragmas.debug);
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throw new Check.DeveloperError(
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"If result is a typed array, it must have exactly array.length * 4 elements"
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);
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//>>includeEnd('debug');
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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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Cartesian4.pack(array[i], result, i * 4);
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}
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return result;
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};
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/**
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* Unpacks an array of cartesian components into an array of Cartesian4s.
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*
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* @param {number[]} array The array of components to unpack.
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* @param {Cartesian4[]} [result] The array onto which to store the result.
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* @returns {Cartesian4[]} The unpacked array.
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*/
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Cartesian4.unpackArray = function (array, result) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.defined("array", array);
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Check.Check.typeOf.number.greaterThanOrEquals("array.length", array.length, 4);
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if (array.length % 4 !== 0) {
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throw new Check.DeveloperError("array length must be a multiple of 4.");
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}
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//>>includeEnd('debug');
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const length = array.length;
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if (!defaultValue.defined(result)) {
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result = new Array(length / 4);
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} else {
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result.length = length / 4;
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}
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for (let i = 0; i < length; i += 4) {
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const index = i / 4;
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result[index] = Cartesian4.unpack(array, i, result[index]);
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}
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return result;
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};
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/**
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* Creates a Cartesian4 from four consecutive elements in an array.
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* @function
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*
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* @param {number[]} array The array whose four consecutive elements correspond to the x, y, z, and w components, respectively.
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* @param {number} [startingIndex=0] The offset into the array of the first element, which corresponds to the x component.
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* @param {Cartesian4} [result] The object onto which to store the result.
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* @returns {Cartesian4} The modified result parameter or a new Cartesian4 instance if one was not provided.
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*
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* @example
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* // Create a Cartesian4 with (1.0, 2.0, 3.0, 4.0)
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* const v = [1.0, 2.0, 3.0, 4.0];
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* const p = Cesium.Cartesian4.fromArray(v);
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*
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* // Create a Cartesian4 with (1.0, 2.0, 3.0, 4.0) using an offset into an array
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* const v2 = [0.0, 0.0, 1.0, 2.0, 3.0, 4.0];
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* const p2 = Cesium.Cartesian4.fromArray(v2, 2);
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*/
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Cartesian4.fromArray = Cartesian4.unpack;
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/**
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* Computes the value of the maximum component for the supplied Cartesian.
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*
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* @param {Cartesian4} cartesian The cartesian to use.
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* @returns {number} The value of the maximum component.
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*/
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Cartesian4.maximumComponent = function (cartesian) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object("cartesian", cartesian);
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//>>includeEnd('debug');
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return Math.max(cartesian.x, cartesian.y, cartesian.z, cartesian.w);
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};
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/**
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* Computes the value of the minimum component for the supplied Cartesian.
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*
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* @param {Cartesian4} cartesian The cartesian to use.
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* @returns {number} The value of the minimum component.
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*/
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Cartesian4.minimumComponent = function (cartesian) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object("cartesian", cartesian);
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//>>includeEnd('debug');
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return Math.min(cartesian.x, cartesian.y, cartesian.z, cartesian.w);
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};
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/**
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* Compares two Cartesians and computes a Cartesian which contains the minimum components of the supplied Cartesians.
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*
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* @param {Cartesian4} first A cartesian to compare.
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* @param {Cartesian4} second A cartesian to compare.
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* @param {Cartesian4} result The object into which to store the result.
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* @returns {Cartesian4} A cartesian with the minimum components.
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*/
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Cartesian4.minimumByComponent = function (first, second, result) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object("first", first);
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Check.Check.typeOf.object("second", second);
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Check.Check.typeOf.object("result", result);
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//>>includeEnd('debug');
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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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result.w = Math.min(first.w, second.w);
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return result;
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};
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/**
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* Compares two Cartesians and computes a Cartesian which contains the maximum components of the supplied Cartesians.
|
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*
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* @param {Cartesian4} first A cartesian to compare.
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* @param {Cartesian4} second A cartesian to compare.
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* @param {Cartesian4} result The object into which to store the result.
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* @returns {Cartesian4} A cartesian with the maximum components.
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*/
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Cartesian4.maximumByComponent = function (first, second, result) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object("first", first);
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Check.Check.typeOf.object("second", second);
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Check.Check.typeOf.object("result", result);
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//>>includeEnd('debug');
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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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result.w = Math.max(first.w, second.w);
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return result;
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};
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|
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/**
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* Constrain a value to lie between two values.
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*
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* @param {Cartesian4} value The value to clamp.
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* @param {Cartesian4} min The minimum bound.
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* @param {Cartesian4} max The maximum bound.
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* @param {Cartesian4} result The object into which to store the result.
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* @returns {Cartesian4} The clamped value such that min <= result <= max.
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*/
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Cartesian4.clamp = function (value, min, max, result) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object("value", value);
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Check.Check.typeOf.object("min", min);
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Check.Check.typeOf.object("max", max);
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Check.Check.typeOf.object("result", result);
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//>>includeEnd('debug');
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const x = Math$1.CesiumMath.clamp(value.x, min.x, max.x);
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const y = Math$1.CesiumMath.clamp(value.y, min.y, max.y);
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const z = Math$1.CesiumMath.clamp(value.z, min.z, max.z);
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const w = Math$1.CesiumMath.clamp(value.w, min.w, max.w);
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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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result.w = w;
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return result;
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};
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|
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/**
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* Computes the provided Cartesian's squared magnitude.
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*
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* @param {Cartesian4} cartesian The Cartesian instance whose squared magnitude is to be computed.
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* @returns {number} The squared magnitude.
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*/
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Cartesian4.magnitudeSquared = function (cartesian) {
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//>>includeStart('debug', pragmas.debug);
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Check.Check.typeOf.object("cartesian", cartesian);
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//>>includeEnd('debug');
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return (
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cartesian.x * cartesian.x +
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cartesian.y * cartesian.y +
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cartesian.z * cartesian.z +
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cartesian.w * cartesian.w
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);
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};
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|
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/**
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* Computes the Cartesian's magnitude (length).
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*
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* @param {Cartesian4} cartesian The Cartesian instance whose magnitude is to be computed.
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* @returns {number} The magnitude.
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*/
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Cartesian4.magnitude = function (cartesian) {
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return Math.sqrt(Cartesian4.magnitudeSquared(cartesian));
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};
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const distanceScratch$1 = new Cartesian4();
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|
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/**
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* Computes the 4-space distance between two points.
|
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*
|
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* @param {Cartesian4} left The first point to compute the distance from.
|
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* @param {Cartesian4} right The second point to compute the distance to.
|
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* @returns {number} The distance between two points.
|
|
*
|
|
* @example
|
|
* // Returns 1.0
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* const d = Cesium.Cartesian4.distance(
|
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* new Cesium.Cartesian4(1.0, 0.0, 0.0, 0.0),
|
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* new Cesium.Cartesian4(2.0, 0.0, 0.0, 0.0));
|
|
*/
|
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Cartesian4.distance = function (left, right) {
|
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//>>includeStart('debug', pragmas.debug);
|
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Check.Check.typeOf.object("left", left);
|
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Check.Check.typeOf.object("right", right);
|
|
//>>includeEnd('debug');
|
|
|
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Cartesian4.subtract(left, right, distanceScratch$1);
|
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return Cartesian4.magnitude(distanceScratch$1);
|
|
};
|
|
|
|
/**
|
|
* Computes the squared distance between two points. Comparing squared distances
|
|
* using this function is more efficient than comparing distances using {@link Cartesian4#distance}.
|
|
*
|
|
* @param {Cartesian4} left The first point to compute the distance from.
|
|
* @param {Cartesian4} right The second point to compute the distance to.
|
|
* @returns {number} The distance between two points.
|
|
*
|
|
* @example
|
|
* // Returns 4.0, not 2.0
|
|
* const d = Cesium.Cartesian4.distance(
|
|
* new Cesium.Cartesian4(1.0, 0.0, 0.0, 0.0),
|
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* new Cesium.Cartesian4(3.0, 0.0, 0.0, 0.0));
|
|
*/
|
|
Cartesian4.distanceSquared = function (left, right) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
//>>includeEnd('debug');
|
|
|
|
Cartesian4.subtract(left, right, distanceScratch$1);
|
|
return Cartesian4.magnitudeSquared(distanceScratch$1);
|
|
};
|
|
|
|
/**
|
|
* Computes the normalized form of the supplied Cartesian.
|
|
*
|
|
* @param {Cartesian4} cartesian The Cartesian to be normalized.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*/
|
|
Cartesian4.normalize = function (cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const magnitude = Cartesian4.magnitude(cartesian);
|
|
|
|
result.x = cartesian.x / magnitude;
|
|
result.y = cartesian.y / magnitude;
|
|
result.z = cartesian.z / magnitude;
|
|
result.w = cartesian.w / magnitude;
|
|
|
|
//>>includeStart('debug', pragmas.debug);
|
|
if (
|
|
isNaN(result.x) ||
|
|
isNaN(result.y) ||
|
|
isNaN(result.z) ||
|
|
isNaN(result.w)
|
|
) {
|
|
throw new Check.DeveloperError("normalized result is not a number");
|
|
}
|
|
//>>includeEnd('debug');
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the dot (scalar) product of two Cartesians.
|
|
*
|
|
* @param {Cartesian4} left The first Cartesian.
|
|
* @param {Cartesian4} right The second Cartesian.
|
|
* @returns {number} The dot product.
|
|
*/
|
|
Cartesian4.dot = function (left, right) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
//>>includeEnd('debug');
|
|
|
|
return (
|
|
left.x * right.x + left.y * right.y + left.z * right.z + left.w * right.w
|
|
);
|
|
};
|
|
|
|
/**
|
|
* Computes the componentwise product of two Cartesians.
|
|
*
|
|
* @param {Cartesian4} left The first Cartesian.
|
|
* @param {Cartesian4} right The second Cartesian.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*/
|
|
Cartesian4.multiplyComponents = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = left.x * right.x;
|
|
result.y = left.y * right.y;
|
|
result.z = left.z * right.z;
|
|
result.w = left.w * right.w;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the componentwise quotient of two Cartesians.
|
|
*
|
|
* @param {Cartesian4} left The first Cartesian.
|
|
* @param {Cartesian4} right The second Cartesian.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*/
|
|
Cartesian4.divideComponents = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = left.x / right.x;
|
|
result.y = left.y / right.y;
|
|
result.z = left.z / right.z;
|
|
result.w = left.w / right.w;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the componentwise sum of two Cartesians.
|
|
*
|
|
* @param {Cartesian4} left The first Cartesian.
|
|
* @param {Cartesian4} right The second Cartesian.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*/
|
|
Cartesian4.add = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = left.x + right.x;
|
|
result.y = left.y + right.y;
|
|
result.z = left.z + right.z;
|
|
result.w = left.w + right.w;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the componentwise difference of two Cartesians.
|
|
*
|
|
* @param {Cartesian4} left The first Cartesian.
|
|
* @param {Cartesian4} right The second Cartesian.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*/
|
|
Cartesian4.subtract = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = left.x - right.x;
|
|
result.y = left.y - right.y;
|
|
result.z = left.z - right.z;
|
|
result.w = left.w - right.w;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Multiplies the provided Cartesian componentwise by the provided scalar.
|
|
*
|
|
* @param {Cartesian4} cartesian The Cartesian to be scaled.
|
|
* @param {number} scalar The scalar to multiply with.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*/
|
|
Cartesian4.multiplyByScalar = function (cartesian, scalar, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.number("scalar", scalar);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = cartesian.x * scalar;
|
|
result.y = cartesian.y * scalar;
|
|
result.z = cartesian.z * scalar;
|
|
result.w = cartesian.w * scalar;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Divides the provided Cartesian componentwise by the provided scalar.
|
|
*
|
|
* @param {Cartesian4} cartesian The Cartesian to be divided.
|
|
* @param {number} scalar The scalar to divide by.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*/
|
|
Cartesian4.divideByScalar = function (cartesian, scalar, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.number("scalar", scalar);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = cartesian.x / scalar;
|
|
result.y = cartesian.y / scalar;
|
|
result.z = cartesian.z / scalar;
|
|
result.w = cartesian.w / scalar;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Negates the provided Cartesian.
|
|
*
|
|
* @param {Cartesian4} cartesian The Cartesian to be negated.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*/
|
|
Cartesian4.negate = function (cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = -cartesian.x;
|
|
result.y = -cartesian.y;
|
|
result.z = -cartesian.z;
|
|
result.w = -cartesian.w;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the absolute value of the provided Cartesian.
|
|
*
|
|
* @param {Cartesian4} cartesian The Cartesian whose absolute value is to be computed.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*/
|
|
Cartesian4.abs = function (cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = Math.abs(cartesian.x);
|
|
result.y = Math.abs(cartesian.y);
|
|
result.z = Math.abs(cartesian.z);
|
|
result.w = Math.abs(cartesian.w);
|
|
return result;
|
|
};
|
|
|
|
const lerpScratch$1 = new Cartesian4();
|
|
/**
|
|
* Computes the linear interpolation or extrapolation at t using the provided cartesians.
|
|
*
|
|
* @param {Cartesian4} start The value corresponding to t at 0.0.
|
|
* @param {Cartesian4}end The value corresponding to t at 1.0.
|
|
* @param {number} t The point along t at which to interpolate.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*/
|
|
Cartesian4.lerp = function (start, end, t, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("start", start);
|
|
Check.Check.typeOf.object("end", end);
|
|
Check.Check.typeOf.number("t", t);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
Cartesian4.multiplyByScalar(end, t, lerpScratch$1);
|
|
result = Cartesian4.multiplyByScalar(start, 1.0 - t, result);
|
|
return Cartesian4.add(lerpScratch$1, result, result);
|
|
};
|
|
|
|
const mostOrthogonalAxisScratch$1 = new Cartesian4();
|
|
/**
|
|
* Returns the axis that is most orthogonal to the provided Cartesian.
|
|
*
|
|
* @param {Cartesian4} cartesian The Cartesian on which to find the most orthogonal axis.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The most orthogonal axis.
|
|
*/
|
|
Cartesian4.mostOrthogonalAxis = function (cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const f = Cartesian4.normalize(cartesian, mostOrthogonalAxisScratch$1);
|
|
Cartesian4.abs(f, f);
|
|
|
|
if (f.x <= f.y) {
|
|
if (f.x <= f.z) {
|
|
if (f.x <= f.w) {
|
|
result = Cartesian4.clone(Cartesian4.UNIT_X, result);
|
|
} else {
|
|
result = Cartesian4.clone(Cartesian4.UNIT_W, result);
|
|
}
|
|
} else if (f.z <= f.w) {
|
|
result = Cartesian4.clone(Cartesian4.UNIT_Z, result);
|
|
} else {
|
|
result = Cartesian4.clone(Cartesian4.UNIT_W, result);
|
|
}
|
|
} else if (f.y <= f.z) {
|
|
if (f.y <= f.w) {
|
|
result = Cartesian4.clone(Cartesian4.UNIT_Y, result);
|
|
} else {
|
|
result = Cartesian4.clone(Cartesian4.UNIT_W, result);
|
|
}
|
|
} else if (f.z <= f.w) {
|
|
result = Cartesian4.clone(Cartesian4.UNIT_Z, result);
|
|
} else {
|
|
result = Cartesian4.clone(Cartesian4.UNIT_W, result);
|
|
}
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Compares the provided Cartesians componentwise and returns
|
|
* <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*
|
|
* @param {Cartesian4} [left] The first Cartesian.
|
|
* @param {Cartesian4} [right] The second Cartesian.
|
|
* @returns {boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
|
|
*/
|
|
Cartesian4.equals = function (left, right) {
|
|
return (
|
|
left === right ||
|
|
(defaultValue.defined(left) &&
|
|
defaultValue.defined(right) &&
|
|
left.x === right.x &&
|
|
left.y === right.y &&
|
|
left.z === right.z &&
|
|
left.w === right.w)
|
|
);
|
|
};
|
|
|
|
/**
|
|
* @private
|
|
*/
|
|
Cartesian4.equalsArray = function (cartesian, array, offset) {
|
|
return (
|
|
cartesian.x === array[offset] &&
|
|
cartesian.y === array[offset + 1] &&
|
|
cartesian.z === array[offset + 2] &&
|
|
cartesian.w === array[offset + 3]
|
|
);
|
|
};
|
|
|
|
/**
|
|
* Compares the provided Cartesians componentwise and returns
|
|
* <code>true</code> if they pass an absolute or relative tolerance test,
|
|
* <code>false</code> otherwise.
|
|
*
|
|
* @param {Cartesian4} [left] The first Cartesian.
|
|
* @param {Cartesian4} [right] The second Cartesian.
|
|
* @param {number} [relativeEpsilon=0] The relative epsilon tolerance to use for equality testing.
|
|
* @param {number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing.
|
|
* @returns {boolean} <code>true</code> if left and right are within the provided epsilon, <code>false</code> otherwise.
|
|
*/
|
|
Cartesian4.equalsEpsilon = function (
|
|
left,
|
|
right,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
) {
|
|
return (
|
|
left === right ||
|
|
(defaultValue.defined(left) &&
|
|
defaultValue.defined(right) &&
|
|
Math$1.CesiumMath.equalsEpsilon(
|
|
left.x,
|
|
right.x,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
) &&
|
|
Math$1.CesiumMath.equalsEpsilon(
|
|
left.y,
|
|
right.y,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
) &&
|
|
Math$1.CesiumMath.equalsEpsilon(
|
|
left.z,
|
|
right.z,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
) &&
|
|
Math$1.CesiumMath.equalsEpsilon(
|
|
left.w,
|
|
right.w,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
))
|
|
);
|
|
};
|
|
|
|
/**
|
|
* An immutable Cartesian4 instance initialized to (0.0, 0.0, 0.0, 0.0).
|
|
*
|
|
* @type {Cartesian4}
|
|
* @constant
|
|
*/
|
|
Cartesian4.ZERO = Object.freeze(new Cartesian4(0.0, 0.0, 0.0, 0.0));
|
|
|
|
/**
|
|
* An immutable Cartesian4 instance initialized to (1.0, 1.0, 1.0, 1.0).
|
|
*
|
|
* @type {Cartesian4}
|
|
* @constant
|
|
*/
|
|
Cartesian4.ONE = Object.freeze(new Cartesian4(1.0, 1.0, 1.0, 1.0));
|
|
|
|
/**
|
|
* An immutable Cartesian4 instance initialized to (1.0, 0.0, 0.0, 0.0).
|
|
*
|
|
* @type {Cartesian4}
|
|
* @constant
|
|
*/
|
|
Cartesian4.UNIT_X = Object.freeze(new Cartesian4(1.0, 0.0, 0.0, 0.0));
|
|
|
|
/**
|
|
* An immutable Cartesian4 instance initialized to (0.0, 1.0, 0.0, 0.0).
|
|
*
|
|
* @type {Cartesian4}
|
|
* @constant
|
|
*/
|
|
Cartesian4.UNIT_Y = Object.freeze(new Cartesian4(0.0, 1.0, 0.0, 0.0));
|
|
|
|
/**
|
|
* An immutable Cartesian4 instance initialized to (0.0, 0.0, 1.0, 0.0).
|
|
*
|
|
* @type {Cartesian4}
|
|
* @constant
|
|
*/
|
|
Cartesian4.UNIT_Z = Object.freeze(new Cartesian4(0.0, 0.0, 1.0, 0.0));
|
|
|
|
/**
|
|
* An immutable Cartesian4 instance initialized to (0.0, 0.0, 0.0, 1.0).
|
|
*
|
|
* @type {Cartesian4}
|
|
* @constant
|
|
*/
|
|
Cartesian4.UNIT_W = Object.freeze(new Cartesian4(0.0, 0.0, 0.0, 1.0));
|
|
|
|
/**
|
|
* Duplicates this Cartesian4 instance.
|
|
*
|
|
* @param {Cartesian4} [result] The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter or a new Cartesian4 instance if one was not provided.
|
|
*/
|
|
Cartesian4.prototype.clone = function (result) {
|
|
return Cartesian4.clone(this, result);
|
|
};
|
|
|
|
/**
|
|
* Compares this Cartesian against the provided Cartesian componentwise and returns
|
|
* <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*
|
|
* @param {Cartesian4} [right] The right hand side Cartesian.
|
|
* @returns {boolean} <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*/
|
|
Cartesian4.prototype.equals = function (right) {
|
|
return Cartesian4.equals(this, right);
|
|
};
|
|
|
|
/**
|
|
* Compares this Cartesian against the provided Cartesian componentwise and returns
|
|
* <code>true</code> if they pass an absolute or relative tolerance test,
|
|
* <code>false</code> otherwise.
|
|
*
|
|
* @param {Cartesian4} [right] The right hand side Cartesian.
|
|
* @param {number} [relativeEpsilon=0] The relative epsilon tolerance to use for equality testing.
|
|
* @param {number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing.
|
|
* @returns {boolean} <code>true</code> if they are within the provided epsilon, <code>false</code> otherwise.
|
|
*/
|
|
Cartesian4.prototype.equalsEpsilon = function (
|
|
right,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
) {
|
|
return Cartesian4.equalsEpsilon(
|
|
this,
|
|
right,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
);
|
|
};
|
|
|
|
/**
|
|
* Creates a string representing this Cartesian in the format '(x, y, z, w)'.
|
|
*
|
|
* @returns {string} A string representing the provided Cartesian in the format '(x, y, z, w)'.
|
|
*/
|
|
Cartesian4.prototype.toString = function () {
|
|
return `(${this.x}, ${this.y}, ${this.z}, ${this.w})`;
|
|
};
|
|
|
|
// scratchU8Array and scratchF32Array are views into the same buffer
|
|
const scratchF32Array = new Float32Array(1);
|
|
const scratchU8Array = new Uint8Array(scratchF32Array.buffer);
|
|
|
|
const testU32 = new Uint32Array([0x11223344]);
|
|
const testU8 = new Uint8Array(testU32.buffer);
|
|
const littleEndian = testU8[0] === 0x44;
|
|
|
|
/**
|
|
* Packs an arbitrary floating point value to 4 values representable using uint8.
|
|
*
|
|
* @param {number} value A floating point number.
|
|
* @param {Cartesian4} [result] The Cartesian4 that will contain the packed float.
|
|
* @returns {Cartesian4} A Cartesian4 representing the float packed to values in x, y, z, and w.
|
|
*/
|
|
Cartesian4.packFloat = function (value, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.number("value", value);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Cartesian4();
|
|
}
|
|
|
|
// scratchU8Array and scratchF32Array are views into the same buffer
|
|
scratchF32Array[0] = value;
|
|
|
|
if (littleEndian) {
|
|
result.x = scratchU8Array[0];
|
|
result.y = scratchU8Array[1];
|
|
result.z = scratchU8Array[2];
|
|
result.w = scratchU8Array[3];
|
|
} else {
|
|
// convert from big-endian to little-endian
|
|
result.x = scratchU8Array[3];
|
|
result.y = scratchU8Array[2];
|
|
result.z = scratchU8Array[1];
|
|
result.w = scratchU8Array[0];
|
|
}
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Unpacks a float packed using Cartesian4.packFloat.
|
|
*
|
|
* @param {Cartesian4} packedFloat A Cartesian4 containing a float packed to 4 values representable using uint8.
|
|
* @returns {number} The unpacked float.
|
|
* @private
|
|
*/
|
|
Cartesian4.unpackFloat = function (packedFloat) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("packedFloat", packedFloat);
|
|
//>>includeEnd('debug');
|
|
|
|
// scratchU8Array and scratchF32Array are views into the same buffer
|
|
if (littleEndian) {
|
|
scratchU8Array[0] = packedFloat.x;
|
|
scratchU8Array[1] = packedFloat.y;
|
|
scratchU8Array[2] = packedFloat.z;
|
|
scratchU8Array[3] = packedFloat.w;
|
|
} else {
|
|
// convert from little-endian to big-endian
|
|
scratchU8Array[0] = packedFloat.w;
|
|
scratchU8Array[1] = packedFloat.z;
|
|
scratchU8Array[2] = packedFloat.y;
|
|
scratchU8Array[3] = packedFloat.x;
|
|
}
|
|
return scratchF32Array[0];
|
|
};
|
|
|
|
/**
|
|
* A 4x4 matrix, indexable as a column-major order array.
|
|
* Constructor parameters are in row-major order for code readability.
|
|
* @alias Matrix4
|
|
* @constructor
|
|
* @implements {ArrayLike<number>}
|
|
*
|
|
* @param {number} [column0Row0=0.0] The value for column 0, row 0.
|
|
* @param {number} [column1Row0=0.0] The value for column 1, row 0.
|
|
* @param {number} [column2Row0=0.0] The value for column 2, row 0.
|
|
* @param {number} [column3Row0=0.0] The value for column 3, row 0.
|
|
* @param {number} [column0Row1=0.0] The value for column 0, row 1.
|
|
* @param {number} [column1Row1=0.0] The value for column 1, row 1.
|
|
* @param {number} [column2Row1=0.0] The value for column 2, row 1.
|
|
* @param {number} [column3Row1=0.0] The value for column 3, row 1.
|
|
* @param {number} [column0Row2=0.0] The value for column 0, row 2.
|
|
* @param {number} [column1Row2=0.0] The value for column 1, row 2.
|
|
* @param {number} [column2Row2=0.0] The value for column 2, row 2.
|
|
* @param {number} [column3Row2=0.0] The value for column 3, row 2.
|
|
* @param {number} [column0Row3=0.0] The value for column 0, row 3.
|
|
* @param {number} [column1Row3=0.0] The value for column 1, row 3.
|
|
* @param {number} [column2Row3=0.0] The value for column 2, row 3.
|
|
* @param {number} [column3Row3=0.0] The value for column 3, row 3.
|
|
*
|
|
* @see Matrix4.fromArray
|
|
* @see Matrix4.fromColumnMajorArray
|
|
* @see Matrix4.fromRowMajorArray
|
|
* @see Matrix4.fromRotationTranslation
|
|
* @see Matrix4.fromTranslationQuaternionRotationScale
|
|
* @see Matrix4.fromTranslationRotationScale
|
|
* @see Matrix4.fromTranslation
|
|
* @see Matrix4.fromScale
|
|
* @see Matrix4.fromUniformScale
|
|
* @see Matrix4.fromRotation
|
|
* @see Matrix4.fromCamera
|
|
* @see Matrix4.computePerspectiveFieldOfView
|
|
* @see Matrix4.computeOrthographicOffCenter
|
|
* @see Matrix4.computePerspectiveOffCenter
|
|
* @see Matrix4.computeInfinitePerspectiveOffCenter
|
|
* @see Matrix4.computeViewportTransformation
|
|
* @see Matrix4.computeView
|
|
* @see Matrix2
|
|
* @see Matrix3
|
|
* @see Packable
|
|
*/
|
|
function Matrix4(
|
|
column0Row0,
|
|
column1Row0,
|
|
column2Row0,
|
|
column3Row0,
|
|
column0Row1,
|
|
column1Row1,
|
|
column2Row1,
|
|
column3Row1,
|
|
column0Row2,
|
|
column1Row2,
|
|
column2Row2,
|
|
column3Row2,
|
|
column0Row3,
|
|
column1Row3,
|
|
column2Row3,
|
|
column3Row3
|
|
) {
|
|
this[0] = defaultValue.defaultValue(column0Row0, 0.0);
|
|
this[1] = defaultValue.defaultValue(column0Row1, 0.0);
|
|
this[2] = defaultValue.defaultValue(column0Row2, 0.0);
|
|
this[3] = defaultValue.defaultValue(column0Row3, 0.0);
|
|
this[4] = defaultValue.defaultValue(column1Row0, 0.0);
|
|
this[5] = defaultValue.defaultValue(column1Row1, 0.0);
|
|
this[6] = defaultValue.defaultValue(column1Row2, 0.0);
|
|
this[7] = defaultValue.defaultValue(column1Row3, 0.0);
|
|
this[8] = defaultValue.defaultValue(column2Row0, 0.0);
|
|
this[9] = defaultValue.defaultValue(column2Row1, 0.0);
|
|
this[10] = defaultValue.defaultValue(column2Row2, 0.0);
|
|
this[11] = defaultValue.defaultValue(column2Row3, 0.0);
|
|
this[12] = defaultValue.defaultValue(column3Row0, 0.0);
|
|
this[13] = defaultValue.defaultValue(column3Row1, 0.0);
|
|
this[14] = defaultValue.defaultValue(column3Row2, 0.0);
|
|
this[15] = defaultValue.defaultValue(column3Row3, 0.0);
|
|
}
|
|
|
|
/**
|
|
* The number of elements used to pack the object into an array.
|
|
* @type {number}
|
|
*/
|
|
Matrix4.packedLength = 16;
|
|
|
|
/**
|
|
* Stores the provided instance into the provided array.
|
|
*
|
|
* @param {Matrix4} value The value to pack.
|
|
* @param {number[]} array The array to pack into.
|
|
* @param {number} [startingIndex=0] The index into the array at which to start packing the elements.
|
|
*
|
|
* @returns {number[]} The array that was packed into
|
|
*/
|
|
Matrix4.pack = function (value, array, startingIndex) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("value", value);
|
|
Check.Check.defined("array", array);
|
|
//>>includeEnd('debug');
|
|
|
|
startingIndex = defaultValue.defaultValue(startingIndex, 0);
|
|
|
|
array[startingIndex++] = value[0];
|
|
array[startingIndex++] = value[1];
|
|
array[startingIndex++] = value[2];
|
|
array[startingIndex++] = value[3];
|
|
array[startingIndex++] = value[4];
|
|
array[startingIndex++] = value[5];
|
|
array[startingIndex++] = value[6];
|
|
array[startingIndex++] = value[7];
|
|
array[startingIndex++] = value[8];
|
|
array[startingIndex++] = value[9];
|
|
array[startingIndex++] = value[10];
|
|
array[startingIndex++] = value[11];
|
|
array[startingIndex++] = value[12];
|
|
array[startingIndex++] = value[13];
|
|
array[startingIndex++] = value[14];
|
|
array[startingIndex] = value[15];
|
|
|
|
return array;
|
|
};
|
|
|
|
/**
|
|
* Retrieves an instance from a packed array.
|
|
*
|
|
* @param {number[]} array The packed array.
|
|
* @param {number} [startingIndex=0] The starting index of the element to be unpacked.
|
|
* @param {Matrix4} [result] The object into which to store the result.
|
|
* @returns {Matrix4} The modified result parameter or a new Matrix4 instance if one was not provided.
|
|
*/
|
|
Matrix4.unpack = function (array, startingIndex, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("array", array);
|
|
//>>includeEnd('debug');
|
|
|
|
startingIndex = defaultValue.defaultValue(startingIndex, 0);
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Matrix4();
|
|
}
|
|
|
|
result[0] = array[startingIndex++];
|
|
result[1] = array[startingIndex++];
|
|
result[2] = array[startingIndex++];
|
|
result[3] = array[startingIndex++];
|
|
result[4] = array[startingIndex++];
|
|
result[5] = array[startingIndex++];
|
|
result[6] = array[startingIndex++];
|
|
result[7] = array[startingIndex++];
|
|
result[8] = array[startingIndex++];
|
|
result[9] = array[startingIndex++];
|
|
result[10] = array[startingIndex++];
|
|
result[11] = array[startingIndex++];
|
|
result[12] = array[startingIndex++];
|
|
result[13] = array[startingIndex++];
|
|
result[14] = array[startingIndex++];
|
|
result[15] = array[startingIndex];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Flattens an array of Matrix4s into an array of components. The components
|
|
* are stored in column-major order.
|
|
*
|
|
* @param {Matrix4[]} array The array of matrices to pack.
|
|
* @param {number[]} [result] The array onto which to store the result. If this is a typed array, it must have array.length * 16 components, else a {@link DeveloperError} will be thrown. If it is a regular array, it will be resized to have (array.length * 16) elements.
|
|
* @returns {number[]} The packed array.
|
|
*/
|
|
Matrix4.packArray = function (array, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("array", array);
|
|
//>>includeEnd('debug');
|
|
|
|
const length = array.length;
|
|
const resultLength = length * 16;
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Array(resultLength);
|
|
} else if (!Array.isArray(result) && result.length !== resultLength) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
throw new Check.DeveloperError(
|
|
"If result is a typed array, it must have exactly array.length * 16 elements"
|
|
);
|
|
//>>includeEnd('debug');
|
|
} else if (result.length !== resultLength) {
|
|
result.length = resultLength;
|
|
}
|
|
|
|
for (let i = 0; i < length; ++i) {
|
|
Matrix4.pack(array[i], result, i * 16);
|
|
}
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Unpacks an array of column-major matrix components into an array of Matrix4s.
|
|
*
|
|
* @param {number[]} array The array of components to unpack.
|
|
* @param {Matrix4[]} [result] The array onto which to store the result.
|
|
* @returns {Matrix4[]} The unpacked array.
|
|
*/
|
|
Matrix4.unpackArray = function (array, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("array", array);
|
|
Check.Check.typeOf.number.greaterThanOrEquals("array.length", array.length, 16);
|
|
if (array.length % 16 !== 0) {
|
|
throw new Check.DeveloperError("array length must be a multiple of 16.");
|
|
}
|
|
//>>includeEnd('debug');
|
|
|
|
const length = array.length;
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Array(length / 16);
|
|
} else {
|
|
result.length = length / 16;
|
|
}
|
|
|
|
for (let i = 0; i < length; i += 16) {
|
|
const index = i / 16;
|
|
result[index] = Matrix4.unpack(array, i, result[index]);
|
|
}
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Duplicates a Matrix4 instance.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to duplicate.
|
|
* @param {Matrix4} [result] The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter or a new Matrix4 instance if one was not provided. (Returns undefined if matrix is undefined)
|
|
*/
|
|
Matrix4.clone = function (matrix, result) {
|
|
if (!defaultValue.defined(matrix)) {
|
|
return undefined;
|
|
}
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix4(
|
|
matrix[0],
|
|
matrix[4],
|
|
matrix[8],
|
|
matrix[12],
|
|
matrix[1],
|
|
matrix[5],
|
|
matrix[9],
|
|
matrix[13],
|
|
matrix[2],
|
|
matrix[6],
|
|
matrix[10],
|
|
matrix[14],
|
|
matrix[3],
|
|
matrix[7],
|
|
matrix[11],
|
|
matrix[15]
|
|
);
|
|
}
|
|
result[0] = matrix[0];
|
|
result[1] = matrix[1];
|
|
result[2] = matrix[2];
|
|
result[3] = matrix[3];
|
|
result[4] = matrix[4];
|
|
result[5] = matrix[5];
|
|
result[6] = matrix[6];
|
|
result[7] = matrix[7];
|
|
result[8] = matrix[8];
|
|
result[9] = matrix[9];
|
|
result[10] = matrix[10];
|
|
result[11] = matrix[11];
|
|
result[12] = matrix[12];
|
|
result[13] = matrix[13];
|
|
result[14] = matrix[14];
|
|
result[15] = matrix[15];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Creates a Matrix4 from 16 consecutive elements in an array.
|
|
* @function
|
|
*
|
|
* @param {number[]} array The array whose 16 consecutive elements correspond to the positions of the matrix. Assumes column-major order.
|
|
* @param {number} [startingIndex=0] The offset into the array of the first element, which corresponds to first column first row position in the matrix.
|
|
* @param {Matrix4} [result] The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter or a new Matrix4 instance if one was not provided.
|
|
*
|
|
* @example
|
|
* // Create the Matrix4:
|
|
* // [1.0, 2.0, 3.0, 4.0]
|
|
* // [1.0, 2.0, 3.0, 4.0]
|
|
* // [1.0, 2.0, 3.0, 4.0]
|
|
* // [1.0, 2.0, 3.0, 4.0]
|
|
*
|
|
* const v = [1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 4.0, 4.0, 4.0, 4.0];
|
|
* const m = Cesium.Matrix4.fromArray(v);
|
|
*
|
|
* // Create same Matrix4 with using an offset into an array
|
|
* const v2 = [0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 4.0, 4.0, 4.0, 4.0];
|
|
* const m2 = Cesium.Matrix4.fromArray(v2, 2);
|
|
*/
|
|
Matrix4.fromArray = Matrix4.unpack;
|
|
|
|
/**
|
|
* Computes a Matrix4 instance from a column-major order array.
|
|
*
|
|
* @param {number[]} values The column-major order array.
|
|
* @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided.
|
|
*/
|
|
Matrix4.fromColumnMajorArray = function (values, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("values", values);
|
|
//>>includeEnd('debug');
|
|
|
|
return Matrix4.clone(values, result);
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix4 instance from a row-major order array.
|
|
* The resulting matrix will be in column-major order.
|
|
*
|
|
* @param {number[]} values The row-major order array.
|
|
* @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided.
|
|
*/
|
|
Matrix4.fromRowMajorArray = function (values, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("values", values);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix4(
|
|
values[0],
|
|
values[1],
|
|
values[2],
|
|
values[3],
|
|
values[4],
|
|
values[5],
|
|
values[6],
|
|
values[7],
|
|
values[8],
|
|
values[9],
|
|
values[10],
|
|
values[11],
|
|
values[12],
|
|
values[13],
|
|
values[14],
|
|
values[15]
|
|
);
|
|
}
|
|
result[0] = values[0];
|
|
result[1] = values[4];
|
|
result[2] = values[8];
|
|
result[3] = values[12];
|
|
result[4] = values[1];
|
|
result[5] = values[5];
|
|
result[6] = values[9];
|
|
result[7] = values[13];
|
|
result[8] = values[2];
|
|
result[9] = values[6];
|
|
result[10] = values[10];
|
|
result[11] = values[14];
|
|
result[12] = values[3];
|
|
result[13] = values[7];
|
|
result[14] = values[11];
|
|
result[15] = values[15];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix4 instance from a Matrix3 representing the rotation
|
|
* and a Cartesian3 representing the translation.
|
|
*
|
|
* @param {Matrix3} rotation The upper left portion of the matrix representing the rotation.
|
|
* @param {Cartesian3} [translation=Cartesian3.ZERO] The upper right portion of the matrix representing the translation.
|
|
* @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided.
|
|
*/
|
|
Matrix4.fromRotationTranslation = function (rotation, translation, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rotation", rotation);
|
|
//>>includeEnd('debug');
|
|
|
|
translation = defaultValue.defaultValue(translation, Matrix3.Cartesian3.ZERO);
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix4(
|
|
rotation[0],
|
|
rotation[3],
|
|
rotation[6],
|
|
translation.x,
|
|
rotation[1],
|
|
rotation[4],
|
|
rotation[7],
|
|
translation.y,
|
|
rotation[2],
|
|
rotation[5],
|
|
rotation[8],
|
|
translation.z,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
1.0
|
|
);
|
|
}
|
|
|
|
result[0] = rotation[0];
|
|
result[1] = rotation[1];
|
|
result[2] = rotation[2];
|
|
result[3] = 0.0;
|
|
result[4] = rotation[3];
|
|
result[5] = rotation[4];
|
|
result[6] = rotation[5];
|
|
result[7] = 0.0;
|
|
result[8] = rotation[6];
|
|
result[9] = rotation[7];
|
|
result[10] = rotation[8];
|
|
result[11] = 0.0;
|
|
result[12] = translation.x;
|
|
result[13] = translation.y;
|
|
result[14] = translation.z;
|
|
result[15] = 1.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix4 instance from a translation, rotation, and scale (TRS)
|
|
* representation with the rotation represented as a quaternion.
|
|
*
|
|
* @param {Cartesian3} translation The translation transformation.
|
|
* @param {Quaternion} rotation The rotation transformation.
|
|
* @param {Cartesian3} scale The non-uniform scale transformation.
|
|
* @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided.
|
|
*
|
|
* @example
|
|
* const result = Cesium.Matrix4.fromTranslationQuaternionRotationScale(
|
|
* new Cesium.Cartesian3(1.0, 2.0, 3.0), // translation
|
|
* Cesium.Quaternion.IDENTITY, // rotation
|
|
* new Cesium.Cartesian3(7.0, 8.0, 9.0), // scale
|
|
* result);
|
|
*/
|
|
Matrix4.fromTranslationQuaternionRotationScale = function (
|
|
translation,
|
|
rotation,
|
|
scale,
|
|
result
|
|
) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("translation", translation);
|
|
Check.Check.typeOf.object("rotation", rotation);
|
|
Check.Check.typeOf.object("scale", scale);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Matrix4();
|
|
}
|
|
|
|
const scaleX = scale.x;
|
|
const scaleY = scale.y;
|
|
const scaleZ = scale.z;
|
|
|
|
const x2 = rotation.x * rotation.x;
|
|
const xy = rotation.x * rotation.y;
|
|
const xz = rotation.x * rotation.z;
|
|
const xw = rotation.x * rotation.w;
|
|
const y2 = rotation.y * rotation.y;
|
|
const yz = rotation.y * rotation.z;
|
|
const yw = rotation.y * rotation.w;
|
|
const z2 = rotation.z * rotation.z;
|
|
const zw = rotation.z * rotation.w;
|
|
const w2 = rotation.w * rotation.w;
|
|
|
|
const m00 = x2 - y2 - z2 + w2;
|
|
const m01 = 2.0 * (xy - zw);
|
|
const m02 = 2.0 * (xz + yw);
|
|
|
|
const m10 = 2.0 * (xy + zw);
|
|
const m11 = -x2 + y2 - z2 + w2;
|
|
const m12 = 2.0 * (yz - xw);
|
|
|
|
const m20 = 2.0 * (xz - yw);
|
|
const m21 = 2.0 * (yz + xw);
|
|
const m22 = -x2 - y2 + z2 + w2;
|
|
|
|
result[0] = m00 * scaleX;
|
|
result[1] = m10 * scaleX;
|
|
result[2] = m20 * scaleX;
|
|
result[3] = 0.0;
|
|
result[4] = m01 * scaleY;
|
|
result[5] = m11 * scaleY;
|
|
result[6] = m21 * scaleY;
|
|
result[7] = 0.0;
|
|
result[8] = m02 * scaleZ;
|
|
result[9] = m12 * scaleZ;
|
|
result[10] = m22 * scaleZ;
|
|
result[11] = 0.0;
|
|
result[12] = translation.x;
|
|
result[13] = translation.y;
|
|
result[14] = translation.z;
|
|
result[15] = 1.0;
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Creates a Matrix4 instance from a {@link TranslationRotationScale} instance.
|
|
*
|
|
* @param {TranslationRotationScale} translationRotationScale The instance.
|
|
* @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided.
|
|
*/
|
|
Matrix4.fromTranslationRotationScale = function (
|
|
translationRotationScale,
|
|
result
|
|
) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("translationRotationScale", translationRotationScale);
|
|
//>>includeEnd('debug');
|
|
|
|
return Matrix4.fromTranslationQuaternionRotationScale(
|
|
translationRotationScale.translation,
|
|
translationRotationScale.rotation,
|
|
translationRotationScale.scale,
|
|
result
|
|
);
|
|
};
|
|
|
|
/**
|
|
* Creates a Matrix4 instance from a Cartesian3 representing the translation.
|
|
*
|
|
* @param {Cartesian3} translation The upper right portion of the matrix representing the translation.
|
|
* @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided.
|
|
*
|
|
* @see Matrix4.multiplyByTranslation
|
|
*/
|
|
Matrix4.fromTranslation = function (translation, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("translation", translation);
|
|
//>>includeEnd('debug');
|
|
|
|
return Matrix4.fromRotationTranslation(Matrix3.Matrix3.IDENTITY, translation, result);
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix4 instance representing a non-uniform scale.
|
|
*
|
|
* @param {Cartesian3} scale The x, y, and z scale factors.
|
|
* @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided.
|
|
*
|
|
* @example
|
|
* // Creates
|
|
* // [7.0, 0.0, 0.0, 0.0]
|
|
* // [0.0, 8.0, 0.0, 0.0]
|
|
* // [0.0, 0.0, 9.0, 0.0]
|
|
* // [0.0, 0.0, 0.0, 1.0]
|
|
* const m = Cesium.Matrix4.fromScale(new Cesium.Cartesian3(7.0, 8.0, 9.0));
|
|
*/
|
|
Matrix4.fromScale = function (scale, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("scale", scale);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix4(
|
|
scale.x,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
scale.y,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
scale.z,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
1.0
|
|
);
|
|
}
|
|
|
|
result[0] = scale.x;
|
|
result[1] = 0.0;
|
|
result[2] = 0.0;
|
|
result[3] = 0.0;
|
|
result[4] = 0.0;
|
|
result[5] = scale.y;
|
|
result[6] = 0.0;
|
|
result[7] = 0.0;
|
|
result[8] = 0.0;
|
|
result[9] = 0.0;
|
|
result[10] = scale.z;
|
|
result[11] = 0.0;
|
|
result[12] = 0.0;
|
|
result[13] = 0.0;
|
|
result[14] = 0.0;
|
|
result[15] = 1.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix4 instance representing a uniform scale.
|
|
*
|
|
* @param {number} scale The uniform scale factor.
|
|
* @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided.
|
|
*
|
|
* @example
|
|
* // Creates
|
|
* // [2.0, 0.0, 0.0, 0.0]
|
|
* // [0.0, 2.0, 0.0, 0.0]
|
|
* // [0.0, 0.0, 2.0, 0.0]
|
|
* // [0.0, 0.0, 0.0, 1.0]
|
|
* const m = Cesium.Matrix4.fromUniformScale(2.0);
|
|
*/
|
|
Matrix4.fromUniformScale = function (scale, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.number("scale", scale);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix4(
|
|
scale,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
scale,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
scale,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
1.0
|
|
);
|
|
}
|
|
|
|
result[0] = scale;
|
|
result[1] = 0.0;
|
|
result[2] = 0.0;
|
|
result[3] = 0.0;
|
|
result[4] = 0.0;
|
|
result[5] = scale;
|
|
result[6] = 0.0;
|
|
result[7] = 0.0;
|
|
result[8] = 0.0;
|
|
result[9] = 0.0;
|
|
result[10] = scale;
|
|
result[11] = 0.0;
|
|
result[12] = 0.0;
|
|
result[13] = 0.0;
|
|
result[14] = 0.0;
|
|
result[15] = 1.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Creates a rotation matrix.
|
|
*
|
|
* @param {Matrix3} rotation The rotation matrix.
|
|
* @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided.
|
|
*/
|
|
Matrix4.fromRotation = function (rotation, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rotation", rotation);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Matrix4();
|
|
}
|
|
result[0] = rotation[0];
|
|
result[1] = rotation[1];
|
|
result[2] = rotation[2];
|
|
result[3] = 0.0;
|
|
|
|
result[4] = rotation[3];
|
|
result[5] = rotation[4];
|
|
result[6] = rotation[5];
|
|
result[7] = 0.0;
|
|
|
|
result[8] = rotation[6];
|
|
result[9] = rotation[7];
|
|
result[10] = rotation[8];
|
|
result[11] = 0.0;
|
|
|
|
result[12] = 0.0;
|
|
result[13] = 0.0;
|
|
result[14] = 0.0;
|
|
result[15] = 1.0;
|
|
|
|
return result;
|
|
};
|
|
|
|
const fromCameraF = new Matrix3.Cartesian3();
|
|
const fromCameraR = new Matrix3.Cartesian3();
|
|
const fromCameraU = new Matrix3.Cartesian3();
|
|
|
|
/**
|
|
* Computes a Matrix4 instance from a Camera.
|
|
*
|
|
* @param {Camera} camera The camera to use.
|
|
* @param {Matrix4} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix4} The modified result parameter, or a new Matrix4 instance if one was not provided.
|
|
*/
|
|
Matrix4.fromCamera = function (camera, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("camera", camera);
|
|
//>>includeEnd('debug');
|
|
|
|
const position = camera.position;
|
|
const direction = camera.direction;
|
|
const up = camera.up;
|
|
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("camera.position", position);
|
|
Check.Check.typeOf.object("camera.direction", direction);
|
|
Check.Check.typeOf.object("camera.up", up);
|
|
//>>includeEnd('debug');
|
|
|
|
Matrix3.Cartesian3.normalize(direction, fromCameraF);
|
|
Matrix3.Cartesian3.normalize(
|
|
Matrix3.Cartesian3.cross(fromCameraF, up, fromCameraR),
|
|
fromCameraR
|
|
);
|
|
Matrix3.Cartesian3.normalize(
|
|
Matrix3.Cartesian3.cross(fromCameraR, fromCameraF, fromCameraU),
|
|
fromCameraU
|
|
);
|
|
|
|
const sX = fromCameraR.x;
|
|
const sY = fromCameraR.y;
|
|
const sZ = fromCameraR.z;
|
|
const fX = fromCameraF.x;
|
|
const fY = fromCameraF.y;
|
|
const fZ = fromCameraF.z;
|
|
const uX = fromCameraU.x;
|
|
const uY = fromCameraU.y;
|
|
const uZ = fromCameraU.z;
|
|
const positionX = position.x;
|
|
const positionY = position.y;
|
|
const positionZ = position.z;
|
|
const t0 = sX * -positionX + sY * -positionY + sZ * -positionZ;
|
|
const t1 = uX * -positionX + uY * -positionY + uZ * -positionZ;
|
|
const t2 = fX * positionX + fY * positionY + fZ * positionZ;
|
|
|
|
// The code below this comment is an optimized
|
|
// version of the commented lines.
|
|
// Rather that create two matrices and then multiply,
|
|
// we just bake in the multiplcation as part of creation.
|
|
// const rotation = new Matrix4(
|
|
// sX, sY, sZ, 0.0,
|
|
// uX, uY, uZ, 0.0,
|
|
// -fX, -fY, -fZ, 0.0,
|
|
// 0.0, 0.0, 0.0, 1.0);
|
|
// const translation = new Matrix4(
|
|
// 1.0, 0.0, 0.0, -position.x,
|
|
// 0.0, 1.0, 0.0, -position.y,
|
|
// 0.0, 0.0, 1.0, -position.z,
|
|
// 0.0, 0.0, 0.0, 1.0);
|
|
// return rotation.multiply(translation);
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix4(
|
|
sX,
|
|
sY,
|
|
sZ,
|
|
t0,
|
|
uX,
|
|
uY,
|
|
uZ,
|
|
t1,
|
|
-fX,
|
|
-fY,
|
|
-fZ,
|
|
t2,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
1.0
|
|
);
|
|
}
|
|
result[0] = sX;
|
|
result[1] = uX;
|
|
result[2] = -fX;
|
|
result[3] = 0.0;
|
|
result[4] = sY;
|
|
result[5] = uY;
|
|
result[6] = -fY;
|
|
result[7] = 0.0;
|
|
result[8] = sZ;
|
|
result[9] = uZ;
|
|
result[10] = -fZ;
|
|
result[11] = 0.0;
|
|
result[12] = t0;
|
|
result[13] = t1;
|
|
result[14] = t2;
|
|
result[15] = 1.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix4 instance representing a perspective transformation matrix.
|
|
*
|
|
* @param {number} fovY The field of view along the Y axis in radians.
|
|
* @param {number} aspectRatio The aspect ratio.
|
|
* @param {number} near The distance to the near plane in meters.
|
|
* @param {number} far The distance to the far plane in meters.
|
|
* @param {Matrix4} result The object in which the result will be stored.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @exception {DeveloperError} fovY must be in (0, PI].
|
|
* @exception {DeveloperError} aspectRatio must be greater than zero.
|
|
* @exception {DeveloperError} near must be greater than zero.
|
|
* @exception {DeveloperError} far must be greater than zero.
|
|
*/
|
|
Matrix4.computePerspectiveFieldOfView = function (
|
|
fovY,
|
|
aspectRatio,
|
|
near,
|
|
far,
|
|
result
|
|
) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.number.greaterThan("fovY", fovY, 0.0);
|
|
Check.Check.typeOf.number.lessThan("fovY", fovY, Math.PI);
|
|
Check.Check.typeOf.number.greaterThan("near", near, 0.0);
|
|
Check.Check.typeOf.number.greaterThan("far", far, 0.0);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const bottom = Math.tan(fovY * 0.5);
|
|
|
|
const column1Row1 = 1.0 / bottom;
|
|
const column0Row0 = column1Row1 / aspectRatio;
|
|
const column2Row2 = (far + near) / (near - far);
|
|
const column3Row2 = (2.0 * far * near) / (near - far);
|
|
|
|
result[0] = column0Row0;
|
|
result[1] = 0.0;
|
|
result[2] = 0.0;
|
|
result[3] = 0.0;
|
|
result[4] = 0.0;
|
|
result[5] = column1Row1;
|
|
result[6] = 0.0;
|
|
result[7] = 0.0;
|
|
result[8] = 0.0;
|
|
result[9] = 0.0;
|
|
result[10] = column2Row2;
|
|
result[11] = -1.0;
|
|
result[12] = 0.0;
|
|
result[13] = 0.0;
|
|
result[14] = column3Row2;
|
|
result[15] = 0.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix4 instance representing an orthographic transformation matrix.
|
|
*
|
|
* @param {number} left The number of meters to the left of the camera that will be in view.
|
|
* @param {number} right The number of meters to the right of the camera that will be in view.
|
|
* @param {number} bottom The number of meters below of the camera that will be in view.
|
|
* @param {number} top The number of meters above of the camera that will be in view.
|
|
* @param {number} near The distance to the near plane in meters.
|
|
* @param {number} far The distance to the far plane in meters.
|
|
* @param {Matrix4} result The object in which the result will be stored.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*/
|
|
Matrix4.computeOrthographicOffCenter = function (
|
|
left,
|
|
right,
|
|
bottom,
|
|
top,
|
|
near,
|
|
far,
|
|
result
|
|
) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.number("left", left);
|
|
Check.Check.typeOf.number("right", right);
|
|
Check.Check.typeOf.number("bottom", bottom);
|
|
Check.Check.typeOf.number("top", top);
|
|
Check.Check.typeOf.number("near", near);
|
|
Check.Check.typeOf.number("far", far);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
let a = 1.0 / (right - left);
|
|
let b = 1.0 / (top - bottom);
|
|
let c = 1.0 / (far - near);
|
|
|
|
const tx = -(right + left) * a;
|
|
const ty = -(top + bottom) * b;
|
|
const tz = -(far + near) * c;
|
|
a *= 2.0;
|
|
b *= 2.0;
|
|
c *= -2.0;
|
|
|
|
result[0] = a;
|
|
result[1] = 0.0;
|
|
result[2] = 0.0;
|
|
result[3] = 0.0;
|
|
result[4] = 0.0;
|
|
result[5] = b;
|
|
result[6] = 0.0;
|
|
result[7] = 0.0;
|
|
result[8] = 0.0;
|
|
result[9] = 0.0;
|
|
result[10] = c;
|
|
result[11] = 0.0;
|
|
result[12] = tx;
|
|
result[13] = ty;
|
|
result[14] = tz;
|
|
result[15] = 1.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix4 instance representing an off center perspective transformation.
|
|
*
|
|
* @param {number} left The number of meters to the left of the camera that will be in view.
|
|
* @param {number} right The number of meters to the right of the camera that will be in view.
|
|
* @param {number} bottom The number of meters below of the camera that will be in view.
|
|
* @param {number} top The number of meters above of the camera that will be in view.
|
|
* @param {number} near The distance to the near plane in meters.
|
|
* @param {number} far The distance to the far plane in meters.
|
|
* @param {Matrix4} result The object in which the result will be stored.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*/
|
|
Matrix4.computePerspectiveOffCenter = function (
|
|
left,
|
|
right,
|
|
bottom,
|
|
top,
|
|
near,
|
|
far,
|
|
result
|
|
) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.number("left", left);
|
|
Check.Check.typeOf.number("right", right);
|
|
Check.Check.typeOf.number("bottom", bottom);
|
|
Check.Check.typeOf.number("top", top);
|
|
Check.Check.typeOf.number("near", near);
|
|
Check.Check.typeOf.number("far", far);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const column0Row0 = (2.0 * near) / (right - left);
|
|
const column1Row1 = (2.0 * near) / (top - bottom);
|
|
const column2Row0 = (right + left) / (right - left);
|
|
const column2Row1 = (top + bottom) / (top - bottom);
|
|
const column2Row2 = -(far + near) / (far - near);
|
|
const column2Row3 = -1.0;
|
|
const column3Row2 = (-2.0 * far * near) / (far - near);
|
|
|
|
result[0] = column0Row0;
|
|
result[1] = 0.0;
|
|
result[2] = 0.0;
|
|
result[3] = 0.0;
|
|
result[4] = 0.0;
|
|
result[5] = column1Row1;
|
|
result[6] = 0.0;
|
|
result[7] = 0.0;
|
|
result[8] = column2Row0;
|
|
result[9] = column2Row1;
|
|
result[10] = column2Row2;
|
|
result[11] = column2Row3;
|
|
result[12] = 0.0;
|
|
result[13] = 0.0;
|
|
result[14] = column3Row2;
|
|
result[15] = 0.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix4 instance representing an infinite off center perspective transformation.
|
|
*
|
|
* @param {number} left The number of meters to the left of the camera that will be in view.
|
|
* @param {number} right The number of meters to the right of the camera that will be in view.
|
|
* @param {number} bottom The number of meters below of the camera that will be in view.
|
|
* @param {number} top The number of meters above of the camera that will be in view.
|
|
* @param {number} near The distance to the near plane in meters.
|
|
* @param {Matrix4} result The object in which the result will be stored.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*/
|
|
Matrix4.computeInfinitePerspectiveOffCenter = function (
|
|
left,
|
|
right,
|
|
bottom,
|
|
top,
|
|
near,
|
|
result
|
|
) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.number("left", left);
|
|
Check.Check.typeOf.number("right", right);
|
|
Check.Check.typeOf.number("bottom", bottom);
|
|
Check.Check.typeOf.number("top", top);
|
|
Check.Check.typeOf.number("near", near);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const column0Row0 = (2.0 * near) / (right - left);
|
|
const column1Row1 = (2.0 * near) / (top - bottom);
|
|
const column2Row0 = (right + left) / (right - left);
|
|
const column2Row1 = (top + bottom) / (top - bottom);
|
|
const column2Row2 = -1.0;
|
|
const column2Row3 = -1.0;
|
|
const column3Row2 = -2.0 * near;
|
|
|
|
result[0] = column0Row0;
|
|
result[1] = 0.0;
|
|
result[2] = 0.0;
|
|
result[3] = 0.0;
|
|
result[4] = 0.0;
|
|
result[5] = column1Row1;
|
|
result[6] = 0.0;
|
|
result[7] = 0.0;
|
|
result[8] = column2Row0;
|
|
result[9] = column2Row1;
|
|
result[10] = column2Row2;
|
|
result[11] = column2Row3;
|
|
result[12] = 0.0;
|
|
result[13] = 0.0;
|
|
result[14] = column3Row2;
|
|
result[15] = 0.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix4 instance that transforms from normalized device coordinates to window coordinates.
|
|
*
|
|
* @param {object} [viewport = { x : 0.0, y : 0.0, width : 0.0, height : 0.0 }] The viewport's corners as shown in Example 1.
|
|
* @param {number} [nearDepthRange=0.0] The near plane distance in window coordinates.
|
|
* @param {number} [farDepthRange=1.0] The far plane distance in window coordinates.
|
|
* @param {Matrix4} [result] The object in which the result will be stored.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @example
|
|
* // Create viewport transformation using an explicit viewport and depth range.
|
|
* const m = Cesium.Matrix4.computeViewportTransformation({
|
|
* x : 0.0,
|
|
* y : 0.0,
|
|
* width : 1024.0,
|
|
* height : 768.0
|
|
* }, 0.0, 1.0, new Cesium.Matrix4());
|
|
*/
|
|
Matrix4.computeViewportTransformation = function (
|
|
viewport,
|
|
nearDepthRange,
|
|
farDepthRange,
|
|
result
|
|
) {
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Matrix4();
|
|
}
|
|
|
|
viewport = defaultValue.defaultValue(viewport, defaultValue.defaultValue.EMPTY_OBJECT);
|
|
const x = defaultValue.defaultValue(viewport.x, 0.0);
|
|
const y = defaultValue.defaultValue(viewport.y, 0.0);
|
|
const width = defaultValue.defaultValue(viewport.width, 0.0);
|
|
const height = defaultValue.defaultValue(viewport.height, 0.0);
|
|
nearDepthRange = defaultValue.defaultValue(nearDepthRange, 0.0);
|
|
farDepthRange = defaultValue.defaultValue(farDepthRange, 1.0);
|
|
|
|
const halfWidth = width * 0.5;
|
|
const halfHeight = height * 0.5;
|
|
const halfDepth = (farDepthRange - nearDepthRange) * 0.5;
|
|
|
|
const column0Row0 = halfWidth;
|
|
const column1Row1 = halfHeight;
|
|
const column2Row2 = halfDepth;
|
|
const column3Row0 = x + halfWidth;
|
|
const column3Row1 = y + halfHeight;
|
|
const column3Row2 = nearDepthRange + halfDepth;
|
|
const column3Row3 = 1.0;
|
|
|
|
result[0] = column0Row0;
|
|
result[1] = 0.0;
|
|
result[2] = 0.0;
|
|
result[3] = 0.0;
|
|
result[4] = 0.0;
|
|
result[5] = column1Row1;
|
|
result[6] = 0.0;
|
|
result[7] = 0.0;
|
|
result[8] = 0.0;
|
|
result[9] = 0.0;
|
|
result[10] = column2Row2;
|
|
result[11] = 0.0;
|
|
result[12] = column3Row0;
|
|
result[13] = column3Row1;
|
|
result[14] = column3Row2;
|
|
result[15] = column3Row3;
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix4 instance that transforms from world space to view space.
|
|
*
|
|
* @param {Cartesian3} position The position of the camera.
|
|
* @param {Cartesian3} direction The forward direction.
|
|
* @param {Cartesian3} up The up direction.
|
|
* @param {Cartesian3} right The right direction.
|
|
* @param {Matrix4} result The object in which the result will be stored.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*/
|
|
Matrix4.computeView = function (position, direction, up, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("position", position);
|
|
Check.Check.typeOf.object("direction", direction);
|
|
Check.Check.typeOf.object("up", up);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result[0] = right.x;
|
|
result[1] = up.x;
|
|
result[2] = -direction.x;
|
|
result[3] = 0.0;
|
|
result[4] = right.y;
|
|
result[5] = up.y;
|
|
result[6] = -direction.y;
|
|
result[7] = 0.0;
|
|
result[8] = right.z;
|
|
result[9] = up.z;
|
|
result[10] = -direction.z;
|
|
result[11] = 0.0;
|
|
result[12] = -Matrix3.Cartesian3.dot(right, position);
|
|
result[13] = -Matrix3.Cartesian3.dot(up, position);
|
|
result[14] = Matrix3.Cartesian3.dot(direction, position);
|
|
result[15] = 1.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes an Array from the provided Matrix4 instance.
|
|
* The array will be in column-major order.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to use..
|
|
* @param {number[]} [result] The Array onto which to store the result.
|
|
* @returns {number[]} The modified Array parameter or a new Array instance if one was not provided.
|
|
*
|
|
* @example
|
|
* //create an array from an instance of Matrix4
|
|
* // m = [10.0, 14.0, 18.0, 22.0]
|
|
* // [11.0, 15.0, 19.0, 23.0]
|
|
* // [12.0, 16.0, 20.0, 24.0]
|
|
* // [13.0, 17.0, 21.0, 25.0]
|
|
* const a = Cesium.Matrix4.toArray(m);
|
|
*
|
|
* // m remains the same
|
|
* //creates a = [10.0, 11.0, 12.0, 13.0, 14.0, 15.0, 16.0, 17.0, 18.0, 19.0, 20.0, 21.0, 22.0, 23.0, 24.0, 25.0]
|
|
*/
|
|
Matrix4.toArray = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return [
|
|
matrix[0],
|
|
matrix[1],
|
|
matrix[2],
|
|
matrix[3],
|
|
matrix[4],
|
|
matrix[5],
|
|
matrix[6],
|
|
matrix[7],
|
|
matrix[8],
|
|
matrix[9],
|
|
matrix[10],
|
|
matrix[11],
|
|
matrix[12],
|
|
matrix[13],
|
|
matrix[14],
|
|
matrix[15],
|
|
];
|
|
}
|
|
result[0] = matrix[0];
|
|
result[1] = matrix[1];
|
|
result[2] = matrix[2];
|
|
result[3] = matrix[3];
|
|
result[4] = matrix[4];
|
|
result[5] = matrix[5];
|
|
result[6] = matrix[6];
|
|
result[7] = matrix[7];
|
|
result[8] = matrix[8];
|
|
result[9] = matrix[9];
|
|
result[10] = matrix[10];
|
|
result[11] = matrix[11];
|
|
result[12] = matrix[12];
|
|
result[13] = matrix[13];
|
|
result[14] = matrix[14];
|
|
result[15] = matrix[15];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the array index of the element at the provided row and column.
|
|
*
|
|
* @param {number} row The zero-based index of the row.
|
|
* @param {number} column The zero-based index of the column.
|
|
* @returns {number} The index of the element at the provided row and column.
|
|
*
|
|
* @exception {DeveloperError} row must be 0, 1, 2, or 3.
|
|
* @exception {DeveloperError} column must be 0, 1, 2, or 3.
|
|
*
|
|
* @example
|
|
* const myMatrix = new Cesium.Matrix4();
|
|
* const column1Row0Index = Cesium.Matrix4.getElementIndex(1, 0);
|
|
* const column1Row0 = myMatrix[column1Row0Index];
|
|
* myMatrix[column1Row0Index] = 10.0;
|
|
*/
|
|
Matrix4.getElementIndex = function (column, row) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.number.greaterThanOrEquals("row", row, 0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("row", row, 3);
|
|
|
|
Check.Check.typeOf.number.greaterThanOrEquals("column", column, 0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("column", column, 3);
|
|
//>>includeEnd('debug');
|
|
|
|
return column * 4 + row;
|
|
};
|
|
|
|
/**
|
|
* Retrieves a copy of the matrix column at the provided index as a Cartesian4 instance.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to use.
|
|
* @param {number} index The zero-based index of the column to retrieve.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*
|
|
* @exception {DeveloperError} index must be 0, 1, 2, or 3.
|
|
*
|
|
* @example
|
|
* //returns a Cartesian4 instance with values from the specified column
|
|
* // m = [10.0, 11.0, 12.0, 13.0]
|
|
* // [14.0, 15.0, 16.0, 17.0]
|
|
* // [18.0, 19.0, 20.0, 21.0]
|
|
* // [22.0, 23.0, 24.0, 25.0]
|
|
*
|
|
* //Example 1: Creates an instance of Cartesian
|
|
* const a = Cesium.Matrix4.getColumn(m, 2, new Cesium.Cartesian4());
|
|
*
|
|
* @example
|
|
* //Example 2: Sets values for Cartesian instance
|
|
* const a = new Cesium.Cartesian4();
|
|
* Cesium.Matrix4.getColumn(m, 2, a);
|
|
*
|
|
* // a.x = 12.0; a.y = 16.0; a.z = 20.0; a.w = 24.0;
|
|
*/
|
|
Matrix4.getColumn = function (matrix, index, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
|
|
Check.Check.typeOf.number.greaterThanOrEquals("index", index, 0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("index", index, 3);
|
|
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const startIndex = index * 4;
|
|
const x = matrix[startIndex];
|
|
const y = matrix[startIndex + 1];
|
|
const z = matrix[startIndex + 2];
|
|
const w = matrix[startIndex + 3];
|
|
|
|
result.x = x;
|
|
result.y = y;
|
|
result.z = z;
|
|
result.w = w;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a new matrix that replaces the specified column in the provided matrix with the provided Cartesian4 instance.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to use.
|
|
* @param {number} index The zero-based index of the column to set.
|
|
* @param {Cartesian4} cartesian The Cartesian whose values will be assigned to the specified column.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @exception {DeveloperError} index must be 0, 1, 2, or 3.
|
|
*
|
|
* @example
|
|
* //creates a new Matrix4 instance with new column values from the Cartesian4 instance
|
|
* // m = [10.0, 11.0, 12.0, 13.0]
|
|
* // [14.0, 15.0, 16.0, 17.0]
|
|
* // [18.0, 19.0, 20.0, 21.0]
|
|
* // [22.0, 23.0, 24.0, 25.0]
|
|
*
|
|
* const a = Cesium.Matrix4.setColumn(m, 2, new Cesium.Cartesian4(99.0, 98.0, 97.0, 96.0), new Cesium.Matrix4());
|
|
*
|
|
* // m remains the same
|
|
* // a = [10.0, 11.0, 99.0, 13.0]
|
|
* // [14.0, 15.0, 98.0, 17.0]
|
|
* // [18.0, 19.0, 97.0, 21.0]
|
|
* // [22.0, 23.0, 96.0, 25.0]
|
|
*/
|
|
Matrix4.setColumn = function (matrix, index, cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
|
|
Check.Check.typeOf.number.greaterThanOrEquals("index", index, 0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("index", index, 3);
|
|
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result = Matrix4.clone(matrix, result);
|
|
const startIndex = index * 4;
|
|
result[startIndex] = cartesian.x;
|
|
result[startIndex + 1] = cartesian.y;
|
|
result[startIndex + 2] = cartesian.z;
|
|
result[startIndex + 3] = cartesian.w;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Retrieves a copy of the matrix row at the provided index as a Cartesian4 instance.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to use.
|
|
* @param {number} index The zero-based index of the row to retrieve.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*
|
|
* @exception {DeveloperError} index must be 0, 1, 2, or 3.
|
|
*
|
|
* @example
|
|
* //returns a Cartesian4 instance with values from the specified column
|
|
* // m = [10.0, 11.0, 12.0, 13.0]
|
|
* // [14.0, 15.0, 16.0, 17.0]
|
|
* // [18.0, 19.0, 20.0, 21.0]
|
|
* // [22.0, 23.0, 24.0, 25.0]
|
|
*
|
|
* //Example 1: Returns an instance of Cartesian
|
|
* const a = Cesium.Matrix4.getRow(m, 2, new Cesium.Cartesian4());
|
|
*
|
|
* @example
|
|
* //Example 2: Sets values for a Cartesian instance
|
|
* const a = new Cesium.Cartesian4();
|
|
* Cesium.Matrix4.getRow(m, 2, a);
|
|
*
|
|
* // a.x = 18.0; a.y = 19.0; a.z = 20.0; a.w = 21.0;
|
|
*/
|
|
Matrix4.getRow = function (matrix, index, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
|
|
Check.Check.typeOf.number.greaterThanOrEquals("index", index, 0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("index", index, 3);
|
|
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const x = matrix[index];
|
|
const y = matrix[index + 4];
|
|
const z = matrix[index + 8];
|
|
const w = matrix[index + 12];
|
|
|
|
result.x = x;
|
|
result.y = y;
|
|
result.z = z;
|
|
result.w = w;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a new matrix that replaces the specified row in the provided matrix with the provided Cartesian4 instance.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to use.
|
|
* @param {number} index The zero-based index of the row to set.
|
|
* @param {Cartesian4} cartesian The Cartesian whose values will be assigned to the specified row.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @exception {DeveloperError} index must be 0, 1, 2, or 3.
|
|
*
|
|
* @example
|
|
* //create a new Matrix4 instance with new row values from the Cartesian4 instance
|
|
* // m = [10.0, 11.0, 12.0, 13.0]
|
|
* // [14.0, 15.0, 16.0, 17.0]
|
|
* // [18.0, 19.0, 20.0, 21.0]
|
|
* // [22.0, 23.0, 24.0, 25.0]
|
|
*
|
|
* const a = Cesium.Matrix4.setRow(m, 2, new Cesium.Cartesian4(99.0, 98.0, 97.0, 96.0), new Cesium.Matrix4());
|
|
*
|
|
* // m remains the same
|
|
* // a = [10.0, 11.0, 12.0, 13.0]
|
|
* // [14.0, 15.0, 16.0, 17.0]
|
|
* // [99.0, 98.0, 97.0, 96.0]
|
|
* // [22.0, 23.0, 24.0, 25.0]
|
|
*/
|
|
Matrix4.setRow = function (matrix, index, cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
|
|
Check.Check.typeOf.number.greaterThanOrEquals("index", index, 0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("index", index, 3);
|
|
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result = Matrix4.clone(matrix, result);
|
|
result[index] = cartesian.x;
|
|
result[index + 4] = cartesian.y;
|
|
result[index + 8] = cartesian.z;
|
|
result[index + 12] = cartesian.w;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a new matrix that replaces the translation in the rightmost column of the provided
|
|
* matrix with the provided translation. This assumes the matrix is an affine transformation.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to use.
|
|
* @param {Cartesian3} translation The translation that replaces the translation of the provided matrix.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*/
|
|
Matrix4.setTranslation = function (matrix, translation, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("translation", translation);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result[0] = matrix[0];
|
|
result[1] = matrix[1];
|
|
result[2] = matrix[2];
|
|
result[3] = matrix[3];
|
|
|
|
result[4] = matrix[4];
|
|
result[5] = matrix[5];
|
|
result[6] = matrix[6];
|
|
result[7] = matrix[7];
|
|
|
|
result[8] = matrix[8];
|
|
result[9] = matrix[9];
|
|
result[10] = matrix[10];
|
|
result[11] = matrix[11];
|
|
|
|
result[12] = translation.x;
|
|
result[13] = translation.y;
|
|
result[14] = translation.z;
|
|
result[15] = matrix[15];
|
|
|
|
return result;
|
|
};
|
|
|
|
const scaleScratch1$1 = new Matrix3.Cartesian3();
|
|
|
|
/**
|
|
* Computes a new matrix that replaces the scale with the provided scale.
|
|
* This assumes the matrix is an affine transformation.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to use.
|
|
* @param {Cartesian3} scale The scale that replaces the scale of the provided matrix.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @see Matrix4.setUniformScale
|
|
* @see Matrix4.fromScale
|
|
* @see Matrix4.fromUniformScale
|
|
* @see Matrix4.multiplyByScale
|
|
* @see Matrix4.multiplyByUniformScale
|
|
* @see Matrix4.getScale
|
|
*/
|
|
Matrix4.setScale = function (matrix, scale, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("scale", scale);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const existingScale = Matrix4.getScale(matrix, scaleScratch1$1);
|
|
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];
|
|
|
|
result[4] = matrix[4] * scaleRatioY;
|
|
result[5] = matrix[5] * scaleRatioY;
|
|
result[6] = matrix[6] * scaleRatioY;
|
|
result[7] = matrix[7];
|
|
|
|
result[8] = matrix[8] * scaleRatioZ;
|
|
result[9] = matrix[9] * scaleRatioZ;
|
|
result[10] = matrix[10] * scaleRatioZ;
|
|
result[11] = matrix[11];
|
|
|
|
result[12] = matrix[12];
|
|
result[13] = matrix[13];
|
|
result[14] = matrix[14];
|
|
result[15] = matrix[15];
|
|
|
|
return result;
|
|
};
|
|
|
|
const scaleScratch2$1 = new Matrix3.Cartesian3();
|
|
|
|
/**
|
|
* Computes a new matrix that replaces the scale with the provided uniform scale.
|
|
* This assumes the matrix is an affine transformation.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to use.
|
|
* @param {number} scale The uniform scale that replaces the scale of the provided matrix.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @see Matrix4.setScale
|
|
* @see Matrix4.fromScale
|
|
* @see Matrix4.fromUniformScale
|
|
* @see Matrix4.multiplyByScale
|
|
* @see Matrix4.multiplyByUniformScale
|
|
* @see Matrix4.getScale
|
|
*/
|
|
Matrix4.setUniformScale = function (matrix, scale, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.number("scale", scale);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const existingScale = Matrix4.getScale(matrix, scaleScratch2$1);
|
|
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];
|
|
|
|
result[4] = matrix[4] * scaleRatioY;
|
|
result[5] = matrix[5] * scaleRatioY;
|
|
result[6] = matrix[6] * scaleRatioY;
|
|
result[7] = matrix[7];
|
|
|
|
result[8] = matrix[8] * scaleRatioZ;
|
|
result[9] = matrix[9] * scaleRatioZ;
|
|
result[10] = matrix[10] * scaleRatioZ;
|
|
result[11] = matrix[11];
|
|
|
|
result[12] = matrix[12];
|
|
result[13] = matrix[13];
|
|
result[14] = matrix[14];
|
|
result[15] = matrix[15];
|
|
|
|
return result;
|
|
};
|
|
|
|
const scratchColumn$1 = new Matrix3.Cartesian3();
|
|
|
|
/**
|
|
* Extracts the non-uniform scale assuming the matrix is an affine transformation.
|
|
*
|
|
* @param {Matrix4} matrix The matrix.
|
|
* @param {Cartesian3} result The object onto which to store the result.
|
|
* @returns {Cartesian3} The modified result parameter
|
|
*
|
|
* @see Matrix4.multiplyByScale
|
|
* @see Matrix4.multiplyByUniformScale
|
|
* @see Matrix4.fromScale
|
|
* @see Matrix4.fromUniformScale
|
|
* @see Matrix4.setScale
|
|
* @see Matrix4.setUniformScale
|
|
*/
|
|
Matrix4.getScale = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = Matrix3.Cartesian3.magnitude(
|
|
Matrix3.Cartesian3.fromElements(matrix[0], matrix[1], matrix[2], scratchColumn$1)
|
|
);
|
|
result.y = Matrix3.Cartesian3.magnitude(
|
|
Matrix3.Cartesian3.fromElements(matrix[4], matrix[5], matrix[6], scratchColumn$1)
|
|
);
|
|
result.z = Matrix3.Cartesian3.magnitude(
|
|
Matrix3.Cartesian3.fromElements(matrix[8], matrix[9], matrix[10], scratchColumn$1)
|
|
);
|
|
return result;
|
|
};
|
|
|
|
const scaleScratch3$1 = new Matrix3.Cartesian3();
|
|
|
|
/**
|
|
* Computes the maximum scale assuming the matrix is an affine transformation.
|
|
* The maximum scale is the maximum length of the column vectors in the upper-left
|
|
* 3x3 matrix.
|
|
*
|
|
* @param {Matrix4} matrix The matrix.
|
|
* @returns {number} The maximum scale.
|
|
*/
|
|
Matrix4.getMaximumScale = function (matrix) {
|
|
Matrix4.getScale(matrix, scaleScratch3$1);
|
|
return Matrix3.Cartesian3.maximumComponent(scaleScratch3$1);
|
|
};
|
|
|
|
const scaleScratch4$1 = new Matrix3.Cartesian3();
|
|
|
|
/**
|
|
* Sets the rotation assuming the matrix is an affine transformation.
|
|
*
|
|
* @param {Matrix4} matrix The matrix.
|
|
* @param {Matrix3} rotation The rotation matrix.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @see Matrix4.fromRotation
|
|
* @see Matrix4.getRotation
|
|
*/
|
|
Matrix4.setRotation = function (matrix, rotation, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const scale = Matrix4.getScale(matrix, scaleScratch4$1);
|
|
|
|
result[0] = rotation[0] * scale.x;
|
|
result[1] = rotation[1] * scale.x;
|
|
result[2] = rotation[2] * scale.x;
|
|
result[3] = matrix[3];
|
|
|
|
result[4] = rotation[3] * scale.y;
|
|
result[5] = rotation[4] * scale.y;
|
|
result[6] = rotation[5] * scale.y;
|
|
result[7] = matrix[7];
|
|
|
|
result[8] = rotation[6] * scale.z;
|
|
result[9] = rotation[7] * scale.z;
|
|
result[10] = rotation[8] * scale.z;
|
|
result[11] = matrix[11];
|
|
|
|
result[12] = matrix[12];
|
|
result[13] = matrix[13];
|
|
result[14] = matrix[14];
|
|
result[15] = matrix[15];
|
|
|
|
return result;
|
|
};
|
|
|
|
const scaleScratch5$1 = new Matrix3.Cartesian3();
|
|
|
|
/**
|
|
* Extracts the rotation matrix assuming the matrix is an affine transformation.
|
|
*
|
|
* @param {Matrix4} matrix The matrix.
|
|
* @param {Matrix3} result The object onto which to store the result.
|
|
* @returns {Matrix3} The modified result parameter.
|
|
*
|
|
* @see Matrix4.setRotation
|
|
* @see Matrix4.fromRotation
|
|
*/
|
|
Matrix4.getRotation = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const scale = Matrix4.getScale(matrix, scaleScratch5$1);
|
|
|
|
result[0] = matrix[0] / scale.x;
|
|
result[1] = matrix[1] / scale.x;
|
|
result[2] = matrix[2] / scale.x;
|
|
|
|
result[3] = matrix[4] / scale.y;
|
|
result[4] = matrix[5] / scale.y;
|
|
result[5] = matrix[6] / scale.y;
|
|
|
|
result[6] = matrix[8] / scale.z;
|
|
result[7] = matrix[9] / scale.z;
|
|
result[8] = matrix[10] / scale.z;
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the product of two matrices.
|
|
*
|
|
* @param {Matrix4} left The first matrix.
|
|
* @param {Matrix4} right The second matrix.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*/
|
|
Matrix4.multiply = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const left0 = left[0];
|
|
const left1 = left[1];
|
|
const left2 = left[2];
|
|
const left3 = left[3];
|
|
const left4 = left[4];
|
|
const left5 = left[5];
|
|
const left6 = left[6];
|
|
const left7 = left[7];
|
|
const left8 = left[8];
|
|
const left9 = left[9];
|
|
const left10 = left[10];
|
|
const left11 = left[11];
|
|
const left12 = left[12];
|
|
const left13 = left[13];
|
|
const left14 = left[14];
|
|
const left15 = left[15];
|
|
|
|
const right0 = right[0];
|
|
const right1 = right[1];
|
|
const right2 = right[2];
|
|
const right3 = right[3];
|
|
const right4 = right[4];
|
|
const right5 = right[5];
|
|
const right6 = right[6];
|
|
const right7 = right[7];
|
|
const right8 = right[8];
|
|
const right9 = right[9];
|
|
const right10 = right[10];
|
|
const right11 = right[11];
|
|
const right12 = right[12];
|
|
const right13 = right[13];
|
|
const right14 = right[14];
|
|
const right15 = right[15];
|
|
|
|
const column0Row0 =
|
|
left0 * right0 + left4 * right1 + left8 * right2 + left12 * right3;
|
|
const column0Row1 =
|
|
left1 * right0 + left5 * right1 + left9 * right2 + left13 * right3;
|
|
const column0Row2 =
|
|
left2 * right0 + left6 * right1 + left10 * right2 + left14 * right3;
|
|
const column0Row3 =
|
|
left3 * right0 + left7 * right1 + left11 * right2 + left15 * right3;
|
|
|
|
const column1Row0 =
|
|
left0 * right4 + left4 * right5 + left8 * right6 + left12 * right7;
|
|
const column1Row1 =
|
|
left1 * right4 + left5 * right5 + left9 * right6 + left13 * right7;
|
|
const column1Row2 =
|
|
left2 * right4 + left6 * right5 + left10 * right6 + left14 * right7;
|
|
const column1Row3 =
|
|
left3 * right4 + left7 * right5 + left11 * right6 + left15 * right7;
|
|
|
|
const column2Row0 =
|
|
left0 * right8 + left4 * right9 + left8 * right10 + left12 * right11;
|
|
const column2Row1 =
|
|
left1 * right8 + left5 * right9 + left9 * right10 + left13 * right11;
|
|
const column2Row2 =
|
|
left2 * right8 + left6 * right9 + left10 * right10 + left14 * right11;
|
|
const column2Row3 =
|
|
left3 * right8 + left7 * right9 + left11 * right10 + left15 * right11;
|
|
|
|
const column3Row0 =
|
|
left0 * right12 + left4 * right13 + left8 * right14 + left12 * right15;
|
|
const column3Row1 =
|
|
left1 * right12 + left5 * right13 + left9 * right14 + left13 * right15;
|
|
const column3Row2 =
|
|
left2 * right12 + left6 * right13 + left10 * right14 + left14 * right15;
|
|
const column3Row3 =
|
|
left3 * right12 + left7 * right13 + left11 * right14 + left15 * right15;
|
|
|
|
result[0] = column0Row0;
|
|
result[1] = column0Row1;
|
|
result[2] = column0Row2;
|
|
result[3] = column0Row3;
|
|
result[4] = column1Row0;
|
|
result[5] = column1Row1;
|
|
result[6] = column1Row2;
|
|
result[7] = column1Row3;
|
|
result[8] = column2Row0;
|
|
result[9] = column2Row1;
|
|
result[10] = column2Row2;
|
|
result[11] = column2Row3;
|
|
result[12] = column3Row0;
|
|
result[13] = column3Row1;
|
|
result[14] = column3Row2;
|
|
result[15] = column3Row3;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the sum of two matrices.
|
|
*
|
|
* @param {Matrix4} left The first matrix.
|
|
* @param {Matrix4} right The second matrix.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*/
|
|
Matrix4.add = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
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];
|
|
result[9] = left[9] + right[9];
|
|
result[10] = left[10] + right[10];
|
|
result[11] = left[11] + right[11];
|
|
result[12] = left[12] + right[12];
|
|
result[13] = left[13] + right[13];
|
|
result[14] = left[14] + right[14];
|
|
result[15] = left[15] + right[15];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the difference of two matrices.
|
|
*
|
|
* @param {Matrix4} left The first matrix.
|
|
* @param {Matrix4} right The second matrix.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*/
|
|
Matrix4.subtract = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
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];
|
|
result[9] = left[9] - right[9];
|
|
result[10] = left[10] - right[10];
|
|
result[11] = left[11] - right[11];
|
|
result[12] = left[12] - right[12];
|
|
result[13] = left[13] - right[13];
|
|
result[14] = left[14] - right[14];
|
|
result[15] = left[15] - right[15];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the product of two matrices assuming the matrices are affine transformation matrices,
|
|
* where the upper left 3x3 elements are any matrix, and
|
|
* the upper three elements in the fourth column are the translation.
|
|
* The bottom row is assumed to be [0, 0, 0, 1].
|
|
* The matrix is not verified to be in the proper form.
|
|
* This method is faster than computing the product for general 4x4
|
|
* matrices using {@link Matrix4.multiply}.
|
|
*
|
|
* @param {Matrix4} left The first matrix.
|
|
* @param {Matrix4} right The second matrix.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @example
|
|
* const m1 = new Cesium.Matrix4(1.0, 6.0, 7.0, 0.0, 2.0, 5.0, 8.0, 0.0, 3.0, 4.0, 9.0, 0.0, 0.0, 0.0, 0.0, 1.0);
|
|
* const m2 = Cesium.Transforms.eastNorthUpToFixedFrame(new Cesium.Cartesian3(1.0, 1.0, 1.0));
|
|
* const m3 = Cesium.Matrix4.multiplyTransformation(m1, m2, new Cesium.Matrix4());
|
|
*/
|
|
Matrix4.multiplyTransformation = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const left0 = left[0];
|
|
const left1 = left[1];
|
|
const left2 = left[2];
|
|
const left4 = left[4];
|
|
const left5 = left[5];
|
|
const left6 = left[6];
|
|
const left8 = left[8];
|
|
const left9 = left[9];
|
|
const left10 = left[10];
|
|
const left12 = left[12];
|
|
const left13 = left[13];
|
|
const left14 = left[14];
|
|
|
|
const right0 = right[0];
|
|
const right1 = right[1];
|
|
const right2 = right[2];
|
|
const right4 = right[4];
|
|
const right5 = right[5];
|
|
const right6 = right[6];
|
|
const right8 = right[8];
|
|
const right9 = right[9];
|
|
const right10 = right[10];
|
|
const right12 = right[12];
|
|
const right13 = right[13];
|
|
const right14 = right[14];
|
|
|
|
const column0Row0 = left0 * right0 + left4 * right1 + left8 * right2;
|
|
const column0Row1 = left1 * right0 + left5 * right1 + left9 * right2;
|
|
const column0Row2 = left2 * right0 + left6 * right1 + left10 * right2;
|
|
|
|
const column1Row0 = left0 * right4 + left4 * right5 + left8 * right6;
|
|
const column1Row1 = left1 * right4 + left5 * right5 + left9 * right6;
|
|
const column1Row2 = left2 * right4 + left6 * right5 + left10 * right6;
|
|
|
|
const column2Row0 = left0 * right8 + left4 * right9 + left8 * right10;
|
|
const column2Row1 = left1 * right8 + left5 * right9 + left9 * right10;
|
|
const column2Row2 = left2 * right8 + left6 * right9 + left10 * right10;
|
|
|
|
const column3Row0 =
|
|
left0 * right12 + left4 * right13 + left8 * right14 + left12;
|
|
const column3Row1 =
|
|
left1 * right12 + left5 * right13 + left9 * right14 + left13;
|
|
const column3Row2 =
|
|
left2 * right12 + left6 * right13 + left10 * right14 + left14;
|
|
|
|
result[0] = column0Row0;
|
|
result[1] = column0Row1;
|
|
result[2] = column0Row2;
|
|
result[3] = 0.0;
|
|
result[4] = column1Row0;
|
|
result[5] = column1Row1;
|
|
result[6] = column1Row2;
|
|
result[7] = 0.0;
|
|
result[8] = column2Row0;
|
|
result[9] = column2Row1;
|
|
result[10] = column2Row2;
|
|
result[11] = 0.0;
|
|
result[12] = column3Row0;
|
|
result[13] = column3Row1;
|
|
result[14] = column3Row2;
|
|
result[15] = 1.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Multiplies a transformation matrix (with a bottom row of <code>[0.0, 0.0, 0.0, 1.0]</code>)
|
|
* by a 3x3 rotation matrix. This is an optimization
|
|
* for <code>Matrix4.multiply(m, Matrix4.fromRotationTranslation(rotation), m);</code> with less allocations and arithmetic operations.
|
|
*
|
|
* @param {Matrix4} matrix The matrix on the left-hand side.
|
|
* @param {Matrix3} rotation The 3x3 rotation matrix on the right-hand side.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @example
|
|
* // Instead of Cesium.Matrix4.multiply(m, Cesium.Matrix4.fromRotationTranslation(rotation), m);
|
|
* Cesium.Matrix4.multiplyByMatrix3(m, rotation, m);
|
|
*/
|
|
Matrix4.multiplyByMatrix3 = function (matrix, rotation, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("rotation", rotation);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const left0 = matrix[0];
|
|
const left1 = matrix[1];
|
|
const left2 = matrix[2];
|
|
const left4 = matrix[4];
|
|
const left5 = matrix[5];
|
|
const left6 = matrix[6];
|
|
const left8 = matrix[8];
|
|
const left9 = matrix[9];
|
|
const left10 = matrix[10];
|
|
|
|
const right0 = rotation[0];
|
|
const right1 = rotation[1];
|
|
const right2 = rotation[2];
|
|
const right4 = rotation[3];
|
|
const right5 = rotation[4];
|
|
const right6 = rotation[5];
|
|
const right8 = rotation[6];
|
|
const right9 = rotation[7];
|
|
const right10 = rotation[8];
|
|
|
|
const column0Row0 = left0 * right0 + left4 * right1 + left8 * right2;
|
|
const column0Row1 = left1 * right0 + left5 * right1 + left9 * right2;
|
|
const column0Row2 = left2 * right0 + left6 * right1 + left10 * right2;
|
|
|
|
const column1Row0 = left0 * right4 + left4 * right5 + left8 * right6;
|
|
const column1Row1 = left1 * right4 + left5 * right5 + left9 * right6;
|
|
const column1Row2 = left2 * right4 + left6 * right5 + left10 * right6;
|
|
|
|
const column2Row0 = left0 * right8 + left4 * right9 + left8 * right10;
|
|
const column2Row1 = left1 * right8 + left5 * right9 + left9 * right10;
|
|
const column2Row2 = left2 * right8 + left6 * right9 + left10 * right10;
|
|
|
|
result[0] = column0Row0;
|
|
result[1] = column0Row1;
|
|
result[2] = column0Row2;
|
|
result[3] = 0.0;
|
|
result[4] = column1Row0;
|
|
result[5] = column1Row1;
|
|
result[6] = column1Row2;
|
|
result[7] = 0.0;
|
|
result[8] = column2Row0;
|
|
result[9] = column2Row1;
|
|
result[10] = column2Row2;
|
|
result[11] = 0.0;
|
|
result[12] = matrix[12];
|
|
result[13] = matrix[13];
|
|
result[14] = matrix[14];
|
|
result[15] = matrix[15];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Multiplies a transformation matrix (with a bottom row of <code>[0.0, 0.0, 0.0, 1.0]</code>)
|
|
* by an implicit translation matrix defined by a {@link Cartesian3}. This is an optimization
|
|
* for <code>Matrix4.multiply(m, Matrix4.fromTranslation(position), m);</code> with less allocations and arithmetic operations.
|
|
*
|
|
* @param {Matrix4} matrix The matrix on the left-hand side.
|
|
* @param {Cartesian3} translation The translation on the right-hand side.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @example
|
|
* // Instead of Cesium.Matrix4.multiply(m, Cesium.Matrix4.fromTranslation(position), m);
|
|
* Cesium.Matrix4.multiplyByTranslation(m, position, m);
|
|
*/
|
|
Matrix4.multiplyByTranslation = function (matrix, translation, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("translation", translation);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const x = translation.x;
|
|
const y = translation.y;
|
|
const z = translation.z;
|
|
|
|
const tx = x * matrix[0] + y * matrix[4] + z * matrix[8] + matrix[12];
|
|
const ty = x * matrix[1] + y * matrix[5] + z * matrix[9] + matrix[13];
|
|
const tz = x * matrix[2] + y * matrix[6] + z * matrix[10] + matrix[14];
|
|
|
|
result[0] = matrix[0];
|
|
result[1] = matrix[1];
|
|
result[2] = matrix[2];
|
|
result[3] = matrix[3];
|
|
result[4] = matrix[4];
|
|
result[5] = matrix[5];
|
|
result[6] = matrix[6];
|
|
result[7] = matrix[7];
|
|
result[8] = matrix[8];
|
|
result[9] = matrix[9];
|
|
result[10] = matrix[10];
|
|
result[11] = matrix[11];
|
|
result[12] = tx;
|
|
result[13] = ty;
|
|
result[14] = tz;
|
|
result[15] = matrix[15];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Multiplies an affine transformation matrix (with a bottom row of <code>[0.0, 0.0, 0.0, 1.0]</code>)
|
|
* by an implicit non-uniform scale matrix. This is an optimization
|
|
* for <code>Matrix4.multiply(m, Matrix4.fromUniformScale(scale), m);</code>, where
|
|
* <code>m</code> must be an affine matrix.
|
|
* This function performs fewer allocations and arithmetic operations.
|
|
*
|
|
* @param {Matrix4} matrix The affine matrix on the left-hand side.
|
|
* @param {Cartesian3} scale The non-uniform scale on the right-hand side.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
*
|
|
* @example
|
|
* // Instead of Cesium.Matrix4.multiply(m, Cesium.Matrix4.fromScale(scale), m);
|
|
* Cesium.Matrix4.multiplyByScale(m, scale, m);
|
|
*
|
|
* @see Matrix4.multiplyByUniformScale
|
|
* @see Matrix4.fromScale
|
|
* @see Matrix4.fromUniformScale
|
|
* @see Matrix4.setScale
|
|
* @see Matrix4.setUniformScale
|
|
* @see Matrix4.getScale
|
|
*/
|
|
Matrix4.multiplyByScale = function (matrix, scale, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("scale", scale);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const scaleX = scale.x;
|
|
const scaleY = scale.y;
|
|
const scaleZ = scale.z;
|
|
|
|
// Faster than Cartesian3.equals
|
|
if (scaleX === 1.0 && scaleY === 1.0 && scaleZ === 1.0) {
|
|
return Matrix4.clone(matrix, result);
|
|
}
|
|
|
|
result[0] = scaleX * matrix[0];
|
|
result[1] = scaleX * matrix[1];
|
|
result[2] = scaleX * matrix[2];
|
|
result[3] = matrix[3];
|
|
|
|
result[4] = scaleY * matrix[4];
|
|
result[5] = scaleY * matrix[5];
|
|
result[6] = scaleY * matrix[6];
|
|
result[7] = matrix[7];
|
|
|
|
result[8] = scaleZ * matrix[8];
|
|
result[9] = scaleZ * matrix[9];
|
|
result[10] = scaleZ * matrix[10];
|
|
result[11] = matrix[11];
|
|
|
|
result[12] = matrix[12];
|
|
result[13] = matrix[13];
|
|
result[14] = matrix[14];
|
|
result[15] = matrix[15];
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the product of a matrix times a uniform scale, as if the scale were a scale matrix.
|
|
*
|
|
* @param {Matrix4} matrix The matrix on the left-hand side.
|
|
* @param {number} scale The uniform scale on the right-hand side.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @example
|
|
* // Instead of Cesium.Matrix4.multiply(m, Cesium.Matrix4.fromUniformScale(scale), m);
|
|
* Cesium.Matrix4.multiplyByUniformScale(m, scale, m);
|
|
*
|
|
* @see Matrix4.multiplyByScale
|
|
* @see Matrix4.fromScale
|
|
* @see Matrix4.fromUniformScale
|
|
* @see Matrix4.setScale
|
|
* @see Matrix4.setUniformScale
|
|
* @see Matrix4.getScale
|
|
*/
|
|
Matrix4.multiplyByUniformScale = function (matrix, scale, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.number("scale", scale);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result[0] = matrix[0] * scale;
|
|
result[1] = matrix[1] * scale;
|
|
result[2] = matrix[2] * scale;
|
|
result[3] = matrix[3];
|
|
|
|
result[4] = matrix[4] * scale;
|
|
result[5] = matrix[5] * scale;
|
|
result[6] = matrix[6] * scale;
|
|
result[7] = matrix[7];
|
|
|
|
result[8] = matrix[8] * scale;
|
|
result[9] = matrix[9] * scale;
|
|
result[10] = matrix[10] * scale;
|
|
result[11] = matrix[11];
|
|
|
|
result[12] = matrix[12];
|
|
result[13] = matrix[13];
|
|
result[14] = matrix[14];
|
|
result[15] = matrix[15];
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the product of a matrix and a column vector.
|
|
*
|
|
* @param {Matrix4} matrix The matrix.
|
|
* @param {Cartesian4} cartesian The vector.
|
|
* @param {Cartesian4} result The object onto which to store the result.
|
|
* @returns {Cartesian4} The modified result parameter.
|
|
*/
|
|
Matrix4.multiplyByVector = function (matrix, cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const vX = cartesian.x;
|
|
const vY = cartesian.y;
|
|
const vZ = cartesian.z;
|
|
const vW = cartesian.w;
|
|
|
|
const x = matrix[0] * vX + matrix[4] * vY + matrix[8] * vZ + matrix[12] * vW;
|
|
const y = matrix[1] * vX + matrix[5] * vY + matrix[9] * vZ + matrix[13] * vW;
|
|
const z = matrix[2] * vX + matrix[6] * vY + matrix[10] * vZ + matrix[14] * vW;
|
|
const w = matrix[3] * vX + matrix[7] * vY + matrix[11] * vZ + matrix[15] * vW;
|
|
|
|
result.x = x;
|
|
result.y = y;
|
|
result.z = z;
|
|
result.w = w;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the product of a matrix and a {@link Cartesian3}. This is equivalent to calling {@link Matrix4.multiplyByVector}
|
|
* with a {@link Cartesian4} with a <code>w</code> component of zero.
|
|
*
|
|
* @param {Matrix4} matrix The matrix.
|
|
* @param {Cartesian3} cartesian The point.
|
|
* @param {Cartesian3} result The object onto which to store the result.
|
|
* @returns {Cartesian3} The modified result parameter.
|
|
*
|
|
* @example
|
|
* const p = new Cesium.Cartesian3(1.0, 2.0, 3.0);
|
|
* const result = Cesium.Matrix4.multiplyByPointAsVector(matrix, p, new Cesium.Cartesian3());
|
|
* // A shortcut for
|
|
* // Cartesian3 p = ...
|
|
* // Cesium.Matrix4.multiplyByVector(matrix, new Cesium.Cartesian4(p.x, p.y, p.z, 0.0), result);
|
|
*/
|
|
Matrix4.multiplyByPointAsVector = function (matrix, cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const vX = cartesian.x;
|
|
const vY = cartesian.y;
|
|
const vZ = cartesian.z;
|
|
|
|
const x = matrix[0] * vX + matrix[4] * vY + matrix[8] * vZ;
|
|
const y = matrix[1] * vX + matrix[5] * vY + matrix[9] * vZ;
|
|
const z = matrix[2] * vX + matrix[6] * vY + matrix[10] * vZ;
|
|
|
|
result.x = x;
|
|
result.y = y;
|
|
result.z = z;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the product of a matrix and a {@link Cartesian3}. This is equivalent to calling {@link Matrix4.multiplyByVector}
|
|
* with a {@link Cartesian4} with a <code>w</code> component of 1, but returns a {@link Cartesian3} instead of a {@link Cartesian4}.
|
|
*
|
|
* @param {Matrix4} matrix The matrix.
|
|
* @param {Cartesian3} cartesian The point.
|
|
* @param {Cartesian3} result The object onto which to store the result.
|
|
* @returns {Cartesian3} The modified result parameter.
|
|
*
|
|
* @example
|
|
* const p = new Cesium.Cartesian3(1.0, 2.0, 3.0);
|
|
* const result = Cesium.Matrix4.multiplyByPoint(matrix, p, new Cesium.Cartesian3());
|
|
*/
|
|
Matrix4.multiplyByPoint = function (matrix, cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const vX = cartesian.x;
|
|
const vY = cartesian.y;
|
|
const vZ = cartesian.z;
|
|
|
|
const x = matrix[0] * vX + matrix[4] * vY + matrix[8] * vZ + matrix[12];
|
|
const y = matrix[1] * vX + matrix[5] * vY + matrix[9] * vZ + matrix[13];
|
|
const z = matrix[2] * vX + matrix[6] * vY + matrix[10] * vZ + matrix[14];
|
|
|
|
result.x = x;
|
|
result.y = y;
|
|
result.z = z;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the product of a matrix and a scalar.
|
|
*
|
|
* @param {Matrix4} matrix The matrix.
|
|
* @param {number} scalar The number to multiply by.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @example
|
|
* //create a Matrix4 instance which is a scaled version of the supplied Matrix4
|
|
* // m = [10.0, 11.0, 12.0, 13.0]
|
|
* // [14.0, 15.0, 16.0, 17.0]
|
|
* // [18.0, 19.0, 20.0, 21.0]
|
|
* // [22.0, 23.0, 24.0, 25.0]
|
|
*
|
|
* const a = Cesium.Matrix4.multiplyByScalar(m, -2, new Cesium.Matrix4());
|
|
*
|
|
* // m remains the same
|
|
* // a = [-20.0, -22.0, -24.0, -26.0]
|
|
* // [-28.0, -30.0, -32.0, -34.0]
|
|
* // [-36.0, -38.0, -40.0, -42.0]
|
|
* // [-44.0, -46.0, -48.0, -50.0]
|
|
*/
|
|
Matrix4.multiplyByScalar = function (matrix, scalar, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.number("scalar", scalar);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
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;
|
|
result[9] = matrix[9] * scalar;
|
|
result[10] = matrix[10] * scalar;
|
|
result[11] = matrix[11] * scalar;
|
|
result[12] = matrix[12] * scalar;
|
|
result[13] = matrix[13] * scalar;
|
|
result[14] = matrix[14] * scalar;
|
|
result[15] = matrix[15] * scalar;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a negated copy of the provided matrix.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to negate.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @example
|
|
* //create a new Matrix4 instance which is a negation of a Matrix4
|
|
* // m = [10.0, 11.0, 12.0, 13.0]
|
|
* // [14.0, 15.0, 16.0, 17.0]
|
|
* // [18.0, 19.0, 20.0, 21.0]
|
|
* // [22.0, 23.0, 24.0, 25.0]
|
|
*
|
|
* const a = Cesium.Matrix4.negate(m, new Cesium.Matrix4());
|
|
*
|
|
* // m remains the same
|
|
* // a = [-10.0, -11.0, -12.0, -13.0]
|
|
* // [-14.0, -15.0, -16.0, -17.0]
|
|
* // [-18.0, -19.0, -20.0, -21.0]
|
|
* // [-22.0, -23.0, -24.0, -25.0]
|
|
*/
|
|
Matrix4.negate = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result[0] = -matrix[0];
|
|
result[1] = -matrix[1];
|
|
result[2] = -matrix[2];
|
|
result[3] = -matrix[3];
|
|
result[4] = -matrix[4];
|
|
result[5] = -matrix[5];
|
|
result[6] = -matrix[6];
|
|
result[7] = -matrix[7];
|
|
result[8] = -matrix[8];
|
|
result[9] = -matrix[9];
|
|
result[10] = -matrix[10];
|
|
result[11] = -matrix[11];
|
|
result[12] = -matrix[12];
|
|
result[13] = -matrix[13];
|
|
result[14] = -matrix[14];
|
|
result[15] = -matrix[15];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the transpose of the provided matrix.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to transpose.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @example
|
|
* //returns transpose of a Matrix4
|
|
* // m = [10.0, 11.0, 12.0, 13.0]
|
|
* // [14.0, 15.0, 16.0, 17.0]
|
|
* // [18.0, 19.0, 20.0, 21.0]
|
|
* // [22.0, 23.0, 24.0, 25.0]
|
|
*
|
|
* const a = Cesium.Matrix4.transpose(m, new Cesium.Matrix4());
|
|
*
|
|
* // m remains the same
|
|
* // a = [10.0, 14.0, 18.0, 22.0]
|
|
* // [11.0, 15.0, 19.0, 23.0]
|
|
* // [12.0, 16.0, 20.0, 24.0]
|
|
* // [13.0, 17.0, 21.0, 25.0]
|
|
*/
|
|
Matrix4.transpose = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const matrix1 = matrix[1];
|
|
const matrix2 = matrix[2];
|
|
const matrix3 = matrix[3];
|
|
const matrix6 = matrix[6];
|
|
const matrix7 = matrix[7];
|
|
const matrix11 = matrix[11];
|
|
|
|
result[0] = matrix[0];
|
|
result[1] = matrix[4];
|
|
result[2] = matrix[8];
|
|
result[3] = matrix[12];
|
|
result[4] = matrix1;
|
|
result[5] = matrix[5];
|
|
result[6] = matrix[9];
|
|
result[7] = matrix[13];
|
|
result[8] = matrix2;
|
|
result[9] = matrix6;
|
|
result[10] = matrix[10];
|
|
result[11] = matrix[14];
|
|
result[12] = matrix3;
|
|
result[13] = matrix7;
|
|
result[14] = matrix11;
|
|
result[15] = matrix[15];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a matrix, which contains the absolute (unsigned) values of the provided matrix's elements.
|
|
*
|
|
* @param {Matrix4} matrix The matrix with signed elements.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*/
|
|
Matrix4.abs = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
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]);
|
|
result[9] = Math.abs(matrix[9]);
|
|
result[10] = Math.abs(matrix[10]);
|
|
result[11] = Math.abs(matrix[11]);
|
|
result[12] = Math.abs(matrix[12]);
|
|
result[13] = Math.abs(matrix[13]);
|
|
result[14] = Math.abs(matrix[14]);
|
|
result[15] = Math.abs(matrix[15]);
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Compares the provided matrices componentwise and returns
|
|
* <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*
|
|
* @param {Matrix4} [left] The first matrix.
|
|
* @param {Matrix4} [right] The second matrix.
|
|
* @returns {boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
|
|
*
|
|
* @example
|
|
* //compares two Matrix4 instances
|
|
*
|
|
* // a = [10.0, 14.0, 18.0, 22.0]
|
|
* // [11.0, 15.0, 19.0, 23.0]
|
|
* // [12.0, 16.0, 20.0, 24.0]
|
|
* // [13.0, 17.0, 21.0, 25.0]
|
|
*
|
|
* // b = [10.0, 14.0, 18.0, 22.0]
|
|
* // [11.0, 15.0, 19.0, 23.0]
|
|
* // [12.0, 16.0, 20.0, 24.0]
|
|
* // [13.0, 17.0, 21.0, 25.0]
|
|
*
|
|
* if(Cesium.Matrix4.equals(a,b)) {
|
|
* console.log("Both matrices are equal");
|
|
* } else {
|
|
* console.log("They are not equal");
|
|
* }
|
|
*
|
|
* //Prints "Both matrices are equal" on the console
|
|
*/
|
|
Matrix4.equals = function (left, right) {
|
|
// Given that most matrices will be transformation matrices, the elements
|
|
// are tested in order such that the test is likely to fail as early
|
|
// as possible. I _think_ this is just as friendly to the L1 cache
|
|
// as testing in index order. It is certainty faster in practice.
|
|
return (
|
|
left === right ||
|
|
(defaultValue.defined(left) &&
|
|
defaultValue.defined(right) &&
|
|
// Translation
|
|
left[12] === right[12] &&
|
|
left[13] === right[13] &&
|
|
left[14] === right[14] &&
|
|
// Rotation/scale
|
|
left[0] === right[0] &&
|
|
left[1] === right[1] &&
|
|
left[2] === right[2] &&
|
|
left[4] === right[4] &&
|
|
left[5] === right[5] &&
|
|
left[6] === right[6] &&
|
|
left[8] === right[8] &&
|
|
left[9] === right[9] &&
|
|
left[10] === right[10] &&
|
|
// Bottom row
|
|
left[3] === right[3] &&
|
|
left[7] === right[7] &&
|
|
left[11] === right[11] &&
|
|
left[15] === right[15])
|
|
);
|
|
};
|
|
|
|
/**
|
|
* Compares the provided matrices componentwise and returns
|
|
* <code>true</code> if they are within the provided epsilon,
|
|
* <code>false</code> otherwise.
|
|
*
|
|
* @param {Matrix4} [left] The first matrix.
|
|
* @param {Matrix4} [right] The second matrix.
|
|
* @param {number} [epsilon=0] The epsilon to use for equality testing.
|
|
* @returns {boolean} <code>true</code> if left and right are within the provided epsilon, <code>false</code> otherwise.
|
|
*
|
|
* @example
|
|
* //compares two Matrix4 instances
|
|
*
|
|
* // a = [10.5, 14.5, 18.5, 22.5]
|
|
* // [11.5, 15.5, 19.5, 23.5]
|
|
* // [12.5, 16.5, 20.5, 24.5]
|
|
* // [13.5, 17.5, 21.5, 25.5]
|
|
*
|
|
* // b = [10.0, 14.0, 18.0, 22.0]
|
|
* // [11.0, 15.0, 19.0, 23.0]
|
|
* // [12.0, 16.0, 20.0, 24.0]
|
|
* // [13.0, 17.0, 21.0, 25.0]
|
|
*
|
|
* if(Cesium.Matrix4.equalsEpsilon(a,b,0.1)){
|
|
* console.log("Difference between both the matrices is less than 0.1");
|
|
* } else {
|
|
* console.log("Difference between both the matrices is not less than 0.1");
|
|
* }
|
|
*
|
|
* //Prints "Difference between both the matrices is not less than 0.1" on the console
|
|
*/
|
|
Matrix4.equalsEpsilon = function (left, right, epsilon) {
|
|
epsilon = defaultValue.defaultValue(epsilon, 0);
|
|
|
|
return (
|
|
left === right ||
|
|
(defaultValue.defined(left) &&
|
|
defaultValue.defined(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 &&
|
|
Math.abs(left[9] - right[9]) <= epsilon &&
|
|
Math.abs(left[10] - right[10]) <= epsilon &&
|
|
Math.abs(left[11] - right[11]) <= epsilon &&
|
|
Math.abs(left[12] - right[12]) <= epsilon &&
|
|
Math.abs(left[13] - right[13]) <= epsilon &&
|
|
Math.abs(left[14] - right[14]) <= epsilon &&
|
|
Math.abs(left[15] - right[15]) <= epsilon)
|
|
);
|
|
};
|
|
|
|
/**
|
|
* Gets the translation portion of the provided matrix, assuming the matrix is an affine transformation matrix.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to use.
|
|
* @param {Cartesian3} result The object onto which to store the result.
|
|
* @returns {Cartesian3} The modified result parameter.
|
|
*/
|
|
Matrix4.getTranslation = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = matrix[12];
|
|
result.y = matrix[13];
|
|
result.z = matrix[14];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Gets the upper left 3x3 matrix of the provided matrix.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to use.
|
|
* @param {Matrix3} result The object onto which to store the result.
|
|
* @returns {Matrix3} The modified result parameter.
|
|
*
|
|
* @example
|
|
* // returns a Matrix3 instance from a Matrix4 instance
|
|
*
|
|
* // m = [10.0, 14.0, 18.0, 22.0]
|
|
* // [11.0, 15.0, 19.0, 23.0]
|
|
* // [12.0, 16.0, 20.0, 24.0]
|
|
* // [13.0, 17.0, 21.0, 25.0]
|
|
*
|
|
* const b = new Cesium.Matrix3();
|
|
* Cesium.Matrix4.getMatrix3(m,b);
|
|
*
|
|
* // b = [10.0, 14.0, 18.0]
|
|
* // [11.0, 15.0, 19.0]
|
|
* // [12.0, 16.0, 20.0]
|
|
*/
|
|
Matrix4.getMatrix3 = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result[0] = matrix[0];
|
|
result[1] = matrix[1];
|
|
result[2] = matrix[2];
|
|
result[3] = matrix[4];
|
|
result[4] = matrix[5];
|
|
result[5] = matrix[6];
|
|
result[6] = matrix[8];
|
|
result[7] = matrix[9];
|
|
result[8] = matrix[10];
|
|
return result;
|
|
};
|
|
|
|
const scratchInverseRotation = new Matrix3.Matrix3();
|
|
const scratchMatrix3Zero = new Matrix3.Matrix3();
|
|
const scratchBottomRow = new Cartesian4();
|
|
const scratchExpectedBottomRow = new Cartesian4(0.0, 0.0, 0.0, 1.0);
|
|
|
|
/**
|
|
* Computes the inverse of the provided matrix using Cramers Rule.
|
|
* If the determinant is zero, the matrix can not be inverted, and an exception is thrown.
|
|
* If the matrix is a proper rigid transformation, it is more efficient
|
|
* to invert it with {@link Matrix4.inverseTransformation}.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to invert.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*
|
|
* @exception {RuntimeError} matrix is not invertible because its determinate is zero.
|
|
*/
|
|
Matrix4.inverse = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
//
|
|
// Ported from:
|
|
// ftp://download.intel.com/design/PentiumIII/sml/24504301.pdf
|
|
//
|
|
const src0 = matrix[0];
|
|
const src1 = matrix[4];
|
|
const src2 = matrix[8];
|
|
const src3 = matrix[12];
|
|
const src4 = matrix[1];
|
|
const src5 = matrix[5];
|
|
const src6 = matrix[9];
|
|
const src7 = matrix[13];
|
|
const src8 = matrix[2];
|
|
const src9 = matrix[6];
|
|
const src10 = matrix[10];
|
|
const src11 = matrix[14];
|
|
const src12 = matrix[3];
|
|
const src13 = matrix[7];
|
|
const src14 = matrix[11];
|
|
const src15 = matrix[15];
|
|
|
|
// calculate pairs for first 8 elements (cofactors)
|
|
let tmp0 = src10 * src15;
|
|
let tmp1 = src11 * src14;
|
|
let tmp2 = src9 * src15;
|
|
let tmp3 = src11 * src13;
|
|
let tmp4 = src9 * src14;
|
|
let tmp5 = src10 * src13;
|
|
let tmp6 = src8 * src15;
|
|
let tmp7 = src11 * src12;
|
|
let tmp8 = src8 * src14;
|
|
let tmp9 = src10 * src12;
|
|
let tmp10 = src8 * src13;
|
|
let tmp11 = src9 * src12;
|
|
|
|
// calculate first 8 elements (cofactors)
|
|
const dst0 =
|
|
tmp0 * src5 +
|
|
tmp3 * src6 +
|
|
tmp4 * src7 -
|
|
(tmp1 * src5 + tmp2 * src6 + tmp5 * src7);
|
|
const dst1 =
|
|
tmp1 * src4 +
|
|
tmp6 * src6 +
|
|
tmp9 * src7 -
|
|
(tmp0 * src4 + tmp7 * src6 + tmp8 * src7);
|
|
const dst2 =
|
|
tmp2 * src4 +
|
|
tmp7 * src5 +
|
|
tmp10 * src7 -
|
|
(tmp3 * src4 + tmp6 * src5 + tmp11 * src7);
|
|
const dst3 =
|
|
tmp5 * src4 +
|
|
tmp8 * src5 +
|
|
tmp11 * src6 -
|
|
(tmp4 * src4 + tmp9 * src5 + tmp10 * src6);
|
|
const dst4 =
|
|
tmp1 * src1 +
|
|
tmp2 * src2 +
|
|
tmp5 * src3 -
|
|
(tmp0 * src1 + tmp3 * src2 + tmp4 * src3);
|
|
const dst5 =
|
|
tmp0 * src0 +
|
|
tmp7 * src2 +
|
|
tmp8 * src3 -
|
|
(tmp1 * src0 + tmp6 * src2 + tmp9 * src3);
|
|
const dst6 =
|
|
tmp3 * src0 +
|
|
tmp6 * src1 +
|
|
tmp11 * src3 -
|
|
(tmp2 * src0 + tmp7 * src1 + tmp10 * src3);
|
|
const dst7 =
|
|
tmp4 * src0 +
|
|
tmp9 * src1 +
|
|
tmp10 * src2 -
|
|
(tmp5 * src0 + tmp8 * src1 + tmp11 * src2);
|
|
|
|
// calculate pairs for second 8 elements (cofactors)
|
|
tmp0 = src2 * src7;
|
|
tmp1 = src3 * src6;
|
|
tmp2 = src1 * src7;
|
|
tmp3 = src3 * src5;
|
|
tmp4 = src1 * src6;
|
|
tmp5 = src2 * src5;
|
|
tmp6 = src0 * src7;
|
|
tmp7 = src3 * src4;
|
|
tmp8 = src0 * src6;
|
|
tmp9 = src2 * src4;
|
|
tmp10 = src0 * src5;
|
|
tmp11 = src1 * src4;
|
|
|
|
// calculate second 8 elements (cofactors)
|
|
const dst8 =
|
|
tmp0 * src13 +
|
|
tmp3 * src14 +
|
|
tmp4 * src15 -
|
|
(tmp1 * src13 + tmp2 * src14 + tmp5 * src15);
|
|
const dst9 =
|
|
tmp1 * src12 +
|
|
tmp6 * src14 +
|
|
tmp9 * src15 -
|
|
(tmp0 * src12 + tmp7 * src14 + tmp8 * src15);
|
|
const dst10 =
|
|
tmp2 * src12 +
|
|
tmp7 * src13 +
|
|
tmp10 * src15 -
|
|
(tmp3 * src12 + tmp6 * src13 + tmp11 * src15);
|
|
const dst11 =
|
|
tmp5 * src12 +
|
|
tmp8 * src13 +
|
|
tmp11 * src14 -
|
|
(tmp4 * src12 + tmp9 * src13 + tmp10 * src14);
|
|
const dst12 =
|
|
tmp2 * src10 +
|
|
tmp5 * src11 +
|
|
tmp1 * src9 -
|
|
(tmp4 * src11 + tmp0 * src9 + tmp3 * src10);
|
|
const dst13 =
|
|
tmp8 * src11 +
|
|
tmp0 * src8 +
|
|
tmp7 * src10 -
|
|
(tmp6 * src10 + tmp9 * src11 + tmp1 * src8);
|
|
const dst14 =
|
|
tmp6 * src9 +
|
|
tmp11 * src11 +
|
|
tmp3 * src8 -
|
|
(tmp10 * src11 + tmp2 * src8 + tmp7 * src9);
|
|
const dst15 =
|
|
tmp10 * src10 +
|
|
tmp4 * src8 +
|
|
tmp9 * src9 -
|
|
(tmp8 * src9 + tmp11 * src10 + tmp5 * src8);
|
|
|
|
// calculate determinant
|
|
let det = src0 * dst0 + src1 * dst1 + src2 * dst2 + src3 * dst3;
|
|
|
|
if (Math.abs(det) < Math$1.CesiumMath.EPSILON21) {
|
|
// Special case for a zero scale matrix that can occur, for example,
|
|
// when a model's node has a [0, 0, 0] scale.
|
|
if (
|
|
Matrix3.Matrix3.equalsEpsilon(
|
|
Matrix4.getMatrix3(matrix, scratchInverseRotation),
|
|
scratchMatrix3Zero,
|
|
Math$1.CesiumMath.EPSILON7
|
|
) &&
|
|
Cartesian4.equals(
|
|
Matrix4.getRow(matrix, 3, scratchBottomRow),
|
|
scratchExpectedBottomRow
|
|
)
|
|
) {
|
|
result[0] = 0.0;
|
|
result[1] = 0.0;
|
|
result[2] = 0.0;
|
|
result[3] = 0.0;
|
|
result[4] = 0.0;
|
|
result[5] = 0.0;
|
|
result[6] = 0.0;
|
|
result[7] = 0.0;
|
|
result[8] = 0.0;
|
|
result[9] = 0.0;
|
|
result[10] = 0.0;
|
|
result[11] = 0.0;
|
|
result[12] = -matrix[12];
|
|
result[13] = -matrix[13];
|
|
result[14] = -matrix[14];
|
|
result[15] = 1.0;
|
|
return result;
|
|
}
|
|
|
|
throw new RuntimeError.RuntimeError(
|
|
"matrix is not invertible because its determinate is zero."
|
|
);
|
|
}
|
|
|
|
// calculate matrix inverse
|
|
det = 1.0 / det;
|
|
|
|
result[0] = dst0 * det;
|
|
result[1] = dst1 * det;
|
|
result[2] = dst2 * det;
|
|
result[3] = dst3 * det;
|
|
result[4] = dst4 * det;
|
|
result[5] = dst5 * det;
|
|
result[6] = dst6 * det;
|
|
result[7] = dst7 * det;
|
|
result[8] = dst8 * det;
|
|
result[9] = dst9 * det;
|
|
result[10] = dst10 * det;
|
|
result[11] = dst11 * det;
|
|
result[12] = dst12 * det;
|
|
result[13] = dst13 * det;
|
|
result[14] = dst14 * det;
|
|
result[15] = dst15 * det;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the inverse of the provided matrix assuming it is a proper rigid matrix,
|
|
* where the upper left 3x3 elements are a rotation matrix,
|
|
* and the upper three elements in the fourth column are the translation.
|
|
* The bottom row is assumed to be [0, 0, 0, 1].
|
|
* The matrix is not verified to be in the proper form.
|
|
* This method is faster than computing the inverse for a general 4x4
|
|
* matrix using {@link Matrix4.inverse}.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to invert.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*/
|
|
Matrix4.inverseTransformation = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
//This function is an optimized version of the below 4 lines.
|
|
//const rT = Matrix3.transpose(Matrix4.getMatrix3(matrix));
|
|
//const rTN = Matrix3.negate(rT);
|
|
//const rTT = Matrix3.multiplyByVector(rTN, Matrix4.getTranslation(matrix));
|
|
//return Matrix4.fromRotationTranslation(rT, rTT, result);
|
|
|
|
const matrix0 = matrix[0];
|
|
const matrix1 = matrix[1];
|
|
const matrix2 = matrix[2];
|
|
const matrix4 = matrix[4];
|
|
const matrix5 = matrix[5];
|
|
const matrix6 = matrix[6];
|
|
const matrix8 = matrix[8];
|
|
const matrix9 = matrix[9];
|
|
const matrix10 = matrix[10];
|
|
|
|
const vX = matrix[12];
|
|
const vY = matrix[13];
|
|
const vZ = matrix[14];
|
|
|
|
const x = -matrix0 * vX - matrix1 * vY - matrix2 * vZ;
|
|
const y = -matrix4 * vX - matrix5 * vY - matrix6 * vZ;
|
|
const z = -matrix8 * vX - matrix9 * vY - matrix10 * vZ;
|
|
|
|
result[0] = matrix0;
|
|
result[1] = matrix4;
|
|
result[2] = matrix8;
|
|
result[3] = 0.0;
|
|
result[4] = matrix1;
|
|
result[5] = matrix5;
|
|
result[6] = matrix9;
|
|
result[7] = 0.0;
|
|
result[8] = matrix2;
|
|
result[9] = matrix6;
|
|
result[10] = matrix10;
|
|
result[11] = 0.0;
|
|
result[12] = x;
|
|
result[13] = y;
|
|
result[14] = z;
|
|
result[15] = 1.0;
|
|
return result;
|
|
};
|
|
|
|
const scratchTransposeMatrix = new Matrix4();
|
|
|
|
/**
|
|
* Computes the inverse transpose of a matrix.
|
|
*
|
|
* @param {Matrix4} matrix The matrix to transpose and invert.
|
|
* @param {Matrix4} result The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter.
|
|
*/
|
|
Matrix4.inverseTranspose = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
return Matrix4.inverse(
|
|
Matrix4.transpose(matrix, scratchTransposeMatrix),
|
|
result
|
|
);
|
|
};
|
|
|
|
/**
|
|
* An immutable Matrix4 instance initialized to the identity matrix.
|
|
*
|
|
* @type {Matrix4}
|
|
* @constant
|
|
*/
|
|
Matrix4.IDENTITY = Object.freeze(
|
|
new Matrix4(
|
|
1.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
1.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
1.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
1.0
|
|
)
|
|
);
|
|
|
|
/**
|
|
* An immutable Matrix4 instance initialized to the zero matrix.
|
|
*
|
|
* @type {Matrix4}
|
|
* @constant
|
|
*/
|
|
Matrix4.ZERO = Object.freeze(
|
|
new Matrix4(
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0,
|
|
0.0
|
|
)
|
|
);
|
|
|
|
/**
|
|
* The index into Matrix4 for column 0, row 0.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN0ROW0 = 0;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 0, row 1.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN0ROW1 = 1;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 0, row 2.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN0ROW2 = 2;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 0, row 3.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN0ROW3 = 3;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 1, row 0.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN1ROW0 = 4;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 1, row 1.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN1ROW1 = 5;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 1, row 2.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN1ROW2 = 6;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 1, row 3.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN1ROW3 = 7;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 2, row 0.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN2ROW0 = 8;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 2, row 1.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN2ROW1 = 9;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 2, row 2.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN2ROW2 = 10;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 2, row 3.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN2ROW3 = 11;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 3, row 0.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN3ROW0 = 12;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 3, row 1.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN3ROW1 = 13;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 3, row 2.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN3ROW2 = 14;
|
|
|
|
/**
|
|
* The index into Matrix4 for column 3, row 3.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*/
|
|
Matrix4.COLUMN3ROW3 = 15;
|
|
|
|
Object.defineProperties(Matrix4.prototype, {
|
|
/**
|
|
* Gets the number of items in the collection.
|
|
* @memberof Matrix4.prototype
|
|
*
|
|
* @type {number}
|
|
*/
|
|
length: {
|
|
get: function () {
|
|
return Matrix4.packedLength;
|
|
},
|
|
},
|
|
});
|
|
|
|
/**
|
|
* Duplicates the provided Matrix4 instance.
|
|
*
|
|
* @param {Matrix4} [result] The object onto which to store the result.
|
|
* @returns {Matrix4} The modified result parameter or a new Matrix4 instance if one was not provided.
|
|
*/
|
|
Matrix4.prototype.clone = function (result) {
|
|
return Matrix4.clone(this, result);
|
|
};
|
|
|
|
/**
|
|
* Compares this matrix to the provided matrix componentwise and returns
|
|
* <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*
|
|
* @param {Matrix4} [right] The right hand side matrix.
|
|
* @returns {boolean} <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*/
|
|
Matrix4.prototype.equals = function (right) {
|
|
return Matrix4.equals(this, right);
|
|
};
|
|
|
|
/**
|
|
* @private
|
|
*/
|
|
Matrix4.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] &&
|
|
matrix[9] === array[offset + 9] &&
|
|
matrix[10] === array[offset + 10] &&
|
|
matrix[11] === array[offset + 11] &&
|
|
matrix[12] === array[offset + 12] &&
|
|
matrix[13] === array[offset + 13] &&
|
|
matrix[14] === array[offset + 14] &&
|
|
matrix[15] === array[offset + 15]
|
|
);
|
|
};
|
|
|
|
/**
|
|
* Compares this matrix to the provided matrix componentwise and returns
|
|
* <code>true</code> if they are within the provided epsilon,
|
|
* <code>false</code> otherwise.
|
|
*
|
|
* @param {Matrix4} [right] The right hand side matrix.
|
|
* @param {number} [epsilon=0] The epsilon to use for equality testing.
|
|
* @returns {boolean} <code>true</code> if they are within the provided epsilon, <code>false</code> otherwise.
|
|
*/
|
|
Matrix4.prototype.equalsEpsilon = function (right, epsilon) {
|
|
return Matrix4.equalsEpsilon(this, right, epsilon);
|
|
};
|
|
|
|
/**
|
|
* Computes a string representing this Matrix with each row being
|
|
* on a separate line and in the format '(column0, column1, column2, column3)'.
|
|
*
|
|
* @returns {string} A string representing the provided Matrix with each row being on a separate line and in the format '(column0, column1, column2, column3)'.
|
|
*/
|
|
Matrix4.prototype.toString = function () {
|
|
return (
|
|
`(${this[0]}, ${this[4]}, ${this[8]}, ${this[12]})\n` +
|
|
`(${this[1]}, ${this[5]}, ${this[9]}, ${this[13]})\n` +
|
|
`(${this[2]}, ${this[6]}, ${this[10]}, ${this[14]})\n` +
|
|
`(${this[3]}, ${this[7]}, ${this[11]}, ${this[15]})`
|
|
);
|
|
};
|
|
|
|
/**
|
|
* A two dimensional region specified as longitude and latitude coordinates.
|
|
*
|
|
* @alias Rectangle
|
|
* @constructor
|
|
*
|
|
* @param {number} [west=0.0] The westernmost longitude, in radians, in the range [-Pi, Pi].
|
|
* @param {number} [south=0.0] The southernmost latitude, in radians, in the range [-Pi/2, Pi/2].
|
|
* @param {number} [east=0.0] The easternmost longitude, in radians, in the range [-Pi, Pi].
|
|
* @param {number} [north=0.0] The northernmost latitude, in radians, in the range [-Pi/2, Pi/2].
|
|
*
|
|
* @see Packable
|
|
*/
|
|
function Rectangle(west, south, east, north) {
|
|
/**
|
|
* The westernmost longitude in radians in the range [-Pi, Pi].
|
|
*
|
|
* @type {number}
|
|
* @default 0.0
|
|
*/
|
|
this.west = defaultValue.defaultValue(west, 0.0);
|
|
|
|
/**
|
|
* The southernmost latitude in radians in the range [-Pi/2, Pi/2].
|
|
*
|
|
* @type {number}
|
|
* @default 0.0
|
|
*/
|
|
this.south = defaultValue.defaultValue(south, 0.0);
|
|
|
|
/**
|
|
* The easternmost longitude in radians in the range [-Pi, Pi].
|
|
*
|
|
* @type {number}
|
|
* @default 0.0
|
|
*/
|
|
this.east = defaultValue.defaultValue(east, 0.0);
|
|
|
|
/**
|
|
* The northernmost latitude in radians in the range [-Pi/2, Pi/2].
|
|
*
|
|
* @type {number}
|
|
* @default 0.0
|
|
*/
|
|
this.north = defaultValue.defaultValue(north, 0.0);
|
|
}
|
|
|
|
Object.defineProperties(Rectangle.prototype, {
|
|
/**
|
|
* Gets the width of the rectangle in radians.
|
|
* @memberof Rectangle.prototype
|
|
* @type {number}
|
|
* @readonly
|
|
*/
|
|
width: {
|
|
get: function () {
|
|
return Rectangle.computeWidth(this);
|
|
},
|
|
},
|
|
|
|
/**
|
|
* Gets the height of the rectangle in radians.
|
|
* @memberof Rectangle.prototype
|
|
* @type {number}
|
|
* @readonly
|
|
*/
|
|
height: {
|
|
get: function () {
|
|
return Rectangle.computeHeight(this);
|
|
},
|
|
},
|
|
});
|
|
|
|
/**
|
|
* The number of elements used to pack the object into an array.
|
|
* @type {number}
|
|
*/
|
|
Rectangle.packedLength = 4;
|
|
|
|
/**
|
|
* Stores the provided instance into the provided array.
|
|
*
|
|
* @param {Rectangle} value The value to pack.
|
|
* @param {number[]} array The array to pack into.
|
|
* @param {number} [startingIndex=0] The index into the array at which to start packing the elements.
|
|
*
|
|
* @returns {number[]} The array that was packed into
|
|
*/
|
|
Rectangle.pack = function (value, array, startingIndex) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("value", value);
|
|
Check.Check.defined("array", array);
|
|
//>>includeEnd('debug');
|
|
|
|
startingIndex = defaultValue.defaultValue(startingIndex, 0);
|
|
|
|
array[startingIndex++] = value.west;
|
|
array[startingIndex++] = value.south;
|
|
array[startingIndex++] = value.east;
|
|
array[startingIndex] = value.north;
|
|
|
|
return array;
|
|
};
|
|
|
|
/**
|
|
* Retrieves an instance from a packed array.
|
|
*
|
|
* @param {number[]} array The packed array.
|
|
* @param {number} [startingIndex=0] The starting index of the element to be unpacked.
|
|
* @param {Rectangle} [result] The object into which to store the result.
|
|
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if one was not provided.
|
|
*/
|
|
Rectangle.unpack = function (array, startingIndex, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("array", array);
|
|
//>>includeEnd('debug');
|
|
|
|
startingIndex = defaultValue.defaultValue(startingIndex, 0);
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Rectangle();
|
|
}
|
|
|
|
result.west = array[startingIndex++];
|
|
result.south = array[startingIndex++];
|
|
result.east = array[startingIndex++];
|
|
result.north = array[startingIndex];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the width of a rectangle in radians.
|
|
* @param {Rectangle} rectangle The rectangle to compute the width of.
|
|
* @returns {number} The width.
|
|
*/
|
|
Rectangle.computeWidth = function (rectangle) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
//>>includeEnd('debug');
|
|
let east = rectangle.east;
|
|
const west = rectangle.west;
|
|
if (east < west) {
|
|
east += Math$1.CesiumMath.TWO_PI;
|
|
}
|
|
return east - west;
|
|
};
|
|
|
|
/**
|
|
* Computes the height of a rectangle in radians.
|
|
* @param {Rectangle} rectangle The rectangle to compute the height of.
|
|
* @returns {number} The height.
|
|
*/
|
|
Rectangle.computeHeight = function (rectangle) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
//>>includeEnd('debug');
|
|
return rectangle.north - rectangle.south;
|
|
};
|
|
|
|
/**
|
|
* Creates a rectangle given the boundary longitude and latitude in degrees.
|
|
*
|
|
* @param {number} [west=0.0] The westernmost longitude in degrees in the range [-180.0, 180.0].
|
|
* @param {number} [south=0.0] The southernmost latitude in degrees in the range [-90.0, 90.0].
|
|
* @param {number} [east=0.0] The easternmost longitude in degrees in the range [-180.0, 180.0].
|
|
* @param {number} [north=0.0] The northernmost latitude in degrees in the range [-90.0, 90.0].
|
|
* @param {Rectangle} [result] The object onto which to store the result, or undefined if a new instance should be created.
|
|
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if none was provided.
|
|
*
|
|
* @example
|
|
* const rectangle = Cesium.Rectangle.fromDegrees(0.0, 20.0, 10.0, 30.0);
|
|
*/
|
|
Rectangle.fromDegrees = function (west, south, east, north, result) {
|
|
west = Math$1.CesiumMath.toRadians(defaultValue.defaultValue(west, 0.0));
|
|
south = Math$1.CesiumMath.toRadians(defaultValue.defaultValue(south, 0.0));
|
|
east = Math$1.CesiumMath.toRadians(defaultValue.defaultValue(east, 0.0));
|
|
north = Math$1.CesiumMath.toRadians(defaultValue.defaultValue(north, 0.0));
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Rectangle(west, south, east, north);
|
|
}
|
|
|
|
result.west = west;
|
|
result.south = south;
|
|
result.east = east;
|
|
result.north = north;
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Creates a rectangle given the boundary longitude and latitude in radians.
|
|
*
|
|
* @param {number} [west=0.0] The westernmost longitude in radians in the range [-Math.PI, Math.PI].
|
|
* @param {number} [south=0.0] The southernmost latitude in radians in the range [-Math.PI/2, Math.PI/2].
|
|
* @param {number} [east=0.0] The easternmost longitude in radians in the range [-Math.PI, Math.PI].
|
|
* @param {number} [north=0.0] The northernmost latitude in radians in the range [-Math.PI/2, Math.PI/2].
|
|
* @param {Rectangle} [result] The object onto which to store the result, or undefined if a new instance should be created.
|
|
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if none was provided.
|
|
*
|
|
* @example
|
|
* const rectangle = Cesium.Rectangle.fromRadians(0.0, Math.PI/4, Math.PI/8, 3*Math.PI/4);
|
|
*/
|
|
Rectangle.fromRadians = function (west, south, east, north, result) {
|
|
if (!defaultValue.defined(result)) {
|
|
return new Rectangle(west, south, east, north);
|
|
}
|
|
|
|
result.west = defaultValue.defaultValue(west, 0.0);
|
|
result.south = defaultValue.defaultValue(south, 0.0);
|
|
result.east = defaultValue.defaultValue(east, 0.0);
|
|
result.north = defaultValue.defaultValue(north, 0.0);
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Creates the smallest possible Rectangle that encloses all positions in the provided array.
|
|
*
|
|
* @param {Cartographic[]} cartographics The list of Cartographic instances.
|
|
* @param {Rectangle} [result] The object onto which to store the result, or undefined if a new instance should be created.
|
|
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if none was provided.
|
|
*/
|
|
Rectangle.fromCartographicArray = function (cartographics, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("cartographics", cartographics);
|
|
//>>includeEnd('debug');
|
|
|
|
let west = Number.MAX_VALUE;
|
|
let east = -Number.MAX_VALUE;
|
|
let westOverIDL = Number.MAX_VALUE;
|
|
let eastOverIDL = -Number.MAX_VALUE;
|
|
let south = Number.MAX_VALUE;
|
|
let north = -Number.MAX_VALUE;
|
|
|
|
for (let i = 0, len = cartographics.length; i < len; i++) {
|
|
const position = cartographics[i];
|
|
west = Math.min(west, position.longitude);
|
|
east = Math.max(east, position.longitude);
|
|
south = Math.min(south, position.latitude);
|
|
north = Math.max(north, position.latitude);
|
|
|
|
const lonAdjusted =
|
|
position.longitude >= 0
|
|
? position.longitude
|
|
: position.longitude + Math$1.CesiumMath.TWO_PI;
|
|
westOverIDL = Math.min(westOverIDL, lonAdjusted);
|
|
eastOverIDL = Math.max(eastOverIDL, lonAdjusted);
|
|
}
|
|
|
|
if (east - west > eastOverIDL - westOverIDL) {
|
|
west = westOverIDL;
|
|
east = eastOverIDL;
|
|
|
|
if (east > Math$1.CesiumMath.PI) {
|
|
east = east - Math$1.CesiumMath.TWO_PI;
|
|
}
|
|
if (west > Math$1.CesiumMath.PI) {
|
|
west = west - Math$1.CesiumMath.TWO_PI;
|
|
}
|
|
}
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Rectangle(west, south, east, north);
|
|
}
|
|
|
|
result.west = west;
|
|
result.south = south;
|
|
result.east = east;
|
|
result.north = north;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Creates the smallest possible Rectangle that encloses all positions in the provided array.
|
|
*
|
|
* @param {Cartesian3[]} cartesians The list of Cartesian instances.
|
|
* @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid the cartesians are on.
|
|
* @param {Rectangle} [result] The object onto which to store the result, or undefined if a new instance should be created.
|
|
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if none was provided.
|
|
*/
|
|
Rectangle.fromCartesianArray = function (cartesians, ellipsoid, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("cartesians", cartesians);
|
|
//>>includeEnd('debug');
|
|
ellipsoid = defaultValue.defaultValue(ellipsoid, Matrix3.Ellipsoid.WGS84);
|
|
|
|
let west = Number.MAX_VALUE;
|
|
let east = -Number.MAX_VALUE;
|
|
let westOverIDL = Number.MAX_VALUE;
|
|
let eastOverIDL = -Number.MAX_VALUE;
|
|
let south = Number.MAX_VALUE;
|
|
let north = -Number.MAX_VALUE;
|
|
|
|
for (let i = 0, len = cartesians.length; i < len; i++) {
|
|
const position = ellipsoid.cartesianToCartographic(cartesians[i]);
|
|
west = Math.min(west, position.longitude);
|
|
east = Math.max(east, position.longitude);
|
|
south = Math.min(south, position.latitude);
|
|
north = Math.max(north, position.latitude);
|
|
|
|
const lonAdjusted =
|
|
position.longitude >= 0
|
|
? position.longitude
|
|
: position.longitude + Math$1.CesiumMath.TWO_PI;
|
|
westOverIDL = Math.min(westOverIDL, lonAdjusted);
|
|
eastOverIDL = Math.max(eastOverIDL, lonAdjusted);
|
|
}
|
|
|
|
if (east - west > eastOverIDL - westOverIDL) {
|
|
west = westOverIDL;
|
|
east = eastOverIDL;
|
|
|
|
if (east > Math$1.CesiumMath.PI) {
|
|
east = east - Math$1.CesiumMath.TWO_PI;
|
|
}
|
|
if (west > Math$1.CesiumMath.PI) {
|
|
west = west - Math$1.CesiumMath.TWO_PI;
|
|
}
|
|
}
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Rectangle(west, south, east, north);
|
|
}
|
|
|
|
result.west = west;
|
|
result.south = south;
|
|
result.east = east;
|
|
result.north = north;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Duplicates a Rectangle.
|
|
*
|
|
* @param {Rectangle} rectangle The rectangle to clone.
|
|
* @param {Rectangle} [result] The object onto which to store the result, or undefined if a new instance should be created.
|
|
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if none was provided. (Returns undefined if rectangle is undefined)
|
|
*/
|
|
Rectangle.clone = function (rectangle, result) {
|
|
if (!defaultValue.defined(rectangle)) {
|
|
return undefined;
|
|
}
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Rectangle(
|
|
rectangle.west,
|
|
rectangle.south,
|
|
rectangle.east,
|
|
rectangle.north
|
|
);
|
|
}
|
|
|
|
result.west = rectangle.west;
|
|
result.south = rectangle.south;
|
|
result.east = rectangle.east;
|
|
result.north = rectangle.north;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Compares the provided Rectangles componentwise and returns
|
|
* <code>true</code> if they pass an absolute or relative tolerance test,
|
|
* <code>false</code> otherwise.
|
|
*
|
|
* @param {Rectangle} [left] The first Rectangle.
|
|
* @param {Rectangle} [right] The second Rectangle.
|
|
* @param {number} [absoluteEpsilon=0] The absolute epsilon tolerance to use for equality testing.
|
|
* @returns {boolean} <code>true</code> if left and right are within the provided epsilon, <code>false</code> otherwise.
|
|
*/
|
|
Rectangle.equalsEpsilon = function (left, right, absoluteEpsilon) {
|
|
absoluteEpsilon = defaultValue.defaultValue(absoluteEpsilon, 0);
|
|
|
|
return (
|
|
left === right ||
|
|
(defaultValue.defined(left) &&
|
|
defaultValue.defined(right) &&
|
|
Math.abs(left.west - right.west) <= absoluteEpsilon &&
|
|
Math.abs(left.south - right.south) <= absoluteEpsilon &&
|
|
Math.abs(left.east - right.east) <= absoluteEpsilon &&
|
|
Math.abs(left.north - right.north) <= absoluteEpsilon)
|
|
);
|
|
};
|
|
|
|
/**
|
|
* Duplicates this Rectangle.
|
|
*
|
|
* @param {Rectangle} [result] The object onto which to store the result.
|
|
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if none was provided.
|
|
*/
|
|
Rectangle.prototype.clone = function (result) {
|
|
return Rectangle.clone(this, result);
|
|
};
|
|
|
|
/**
|
|
* Compares the provided Rectangle with this Rectangle componentwise and returns
|
|
* <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*
|
|
* @param {Rectangle} [other] The Rectangle to compare.
|
|
* @returns {boolean} <code>true</code> if the Rectangles are equal, <code>false</code> otherwise.
|
|
*/
|
|
Rectangle.prototype.equals = function (other) {
|
|
return Rectangle.equals(this, other);
|
|
};
|
|
|
|
/**
|
|
* Compares the provided rectangles and returns <code>true</code> if they are equal,
|
|
* <code>false</code> otherwise.
|
|
*
|
|
* @param {Rectangle} [left] The first Rectangle.
|
|
* @param {Rectangle} [right] The second Rectangle.
|
|
* @returns {boolean} <code>true</code> if left and right are equal; otherwise <code>false</code>.
|
|
*/
|
|
Rectangle.equals = function (left, right) {
|
|
return (
|
|
left === right ||
|
|
(defaultValue.defined(left) &&
|
|
defaultValue.defined(right) &&
|
|
left.west === right.west &&
|
|
left.south === right.south &&
|
|
left.east === right.east &&
|
|
left.north === right.north)
|
|
);
|
|
};
|
|
|
|
/**
|
|
* Compares the provided Rectangle with this Rectangle componentwise and returns
|
|
* <code>true</code> if they are within the provided epsilon,
|
|
* <code>false</code> otherwise.
|
|
*
|
|
* @param {Rectangle} [other] The Rectangle to compare.
|
|
* @param {number} [epsilon=0] The epsilon to use for equality testing.
|
|
* @returns {boolean} <code>true</code> if the Rectangles are within the provided epsilon, <code>false</code> otherwise.
|
|
*/
|
|
Rectangle.prototype.equalsEpsilon = function (other, epsilon) {
|
|
return Rectangle.equalsEpsilon(this, other, epsilon);
|
|
};
|
|
|
|
/**
|
|
* Checks a Rectangle's properties and throws if they are not in valid ranges.
|
|
*
|
|
* @param {Rectangle} rectangle The rectangle to validate
|
|
*
|
|
* @exception {DeveloperError} <code>north</code> must be in the interval [<code>-Pi/2</code>, <code>Pi/2</code>].
|
|
* @exception {DeveloperError} <code>south</code> must be in the interval [<code>-Pi/2</code>, <code>Pi/2</code>].
|
|
* @exception {DeveloperError} <code>east</code> must be in the interval [<code>-Pi</code>, <code>Pi</code>].
|
|
* @exception {DeveloperError} <code>west</code> must be in the interval [<code>-Pi</code>, <code>Pi</code>].
|
|
*/
|
|
Rectangle.validate = function (rectangle) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
|
|
const north = rectangle.north;
|
|
Check.Check.typeOf.number.greaterThanOrEquals(
|
|
"north",
|
|
north,
|
|
-Math$1.CesiumMath.PI_OVER_TWO
|
|
);
|
|
Check.Check.typeOf.number.lessThanOrEquals("north", north, Math$1.CesiumMath.PI_OVER_TWO);
|
|
|
|
const south = rectangle.south;
|
|
Check.Check.typeOf.number.greaterThanOrEquals(
|
|
"south",
|
|
south,
|
|
-Math$1.CesiumMath.PI_OVER_TWO
|
|
);
|
|
Check.Check.typeOf.number.lessThanOrEquals("south", south, Math$1.CesiumMath.PI_OVER_TWO);
|
|
|
|
const west = rectangle.west;
|
|
Check.Check.typeOf.number.greaterThanOrEquals("west", west, -Math.PI);
|
|
Check.Check.typeOf.number.lessThanOrEquals("west", west, Math.PI);
|
|
|
|
const east = rectangle.east;
|
|
Check.Check.typeOf.number.greaterThanOrEquals("east", east, -Math.PI);
|
|
Check.Check.typeOf.number.lessThanOrEquals("east", east, Math.PI);
|
|
//>>includeEnd('debug');
|
|
};
|
|
|
|
/**
|
|
* Computes the southwest corner of a rectangle.
|
|
*
|
|
* @param {Rectangle} rectangle The rectangle for which to find the corner
|
|
* @param {Cartographic} [result] The object onto which to store the result.
|
|
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if none was provided.
|
|
*/
|
|
Rectangle.southwest = function (rectangle, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix3.Cartographic(rectangle.west, rectangle.south);
|
|
}
|
|
result.longitude = rectangle.west;
|
|
result.latitude = rectangle.south;
|
|
result.height = 0.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the northwest corner of a rectangle.
|
|
*
|
|
* @param {Rectangle} rectangle The rectangle for which to find the corner
|
|
* @param {Cartographic} [result] The object onto which to store the result.
|
|
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if none was provided.
|
|
*/
|
|
Rectangle.northwest = function (rectangle, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix3.Cartographic(rectangle.west, rectangle.north);
|
|
}
|
|
result.longitude = rectangle.west;
|
|
result.latitude = rectangle.north;
|
|
result.height = 0.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the northeast corner of a rectangle.
|
|
*
|
|
* @param {Rectangle} rectangle The rectangle for which to find the corner
|
|
* @param {Cartographic} [result] The object onto which to store the result.
|
|
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if none was provided.
|
|
*/
|
|
Rectangle.northeast = function (rectangle, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix3.Cartographic(rectangle.east, rectangle.north);
|
|
}
|
|
result.longitude = rectangle.east;
|
|
result.latitude = rectangle.north;
|
|
result.height = 0.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the southeast corner of a rectangle.
|
|
*
|
|
* @param {Rectangle} rectangle The rectangle for which to find the corner
|
|
* @param {Cartographic} [result] The object onto which to store the result.
|
|
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if none was provided.
|
|
*/
|
|
Rectangle.southeast = function (rectangle, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix3.Cartographic(rectangle.east, rectangle.south);
|
|
}
|
|
result.longitude = rectangle.east;
|
|
result.latitude = rectangle.south;
|
|
result.height = 0.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the center of a rectangle.
|
|
*
|
|
* @param {Rectangle} rectangle The rectangle for which to find the center
|
|
* @param {Cartographic} [result] The object onto which to store the result.
|
|
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if none was provided.
|
|
*/
|
|
Rectangle.center = function (rectangle, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
//>>includeEnd('debug');
|
|
|
|
let east = rectangle.east;
|
|
const west = rectangle.west;
|
|
|
|
if (east < west) {
|
|
east += Math$1.CesiumMath.TWO_PI;
|
|
}
|
|
|
|
const longitude = Math$1.CesiumMath.negativePiToPi((west + east) * 0.5);
|
|
const latitude = (rectangle.south + rectangle.north) * 0.5;
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix3.Cartographic(longitude, latitude);
|
|
}
|
|
|
|
result.longitude = longitude;
|
|
result.latitude = latitude;
|
|
result.height = 0.0;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the intersection of two rectangles. This function assumes that the rectangle's coordinates are
|
|
* latitude and longitude in radians and produces a correct intersection, taking into account the fact that
|
|
* the same angle can be represented with multiple values as well as the wrapping of longitude at the
|
|
* anti-meridian. For a simple intersection that ignores these factors and can be used with projected
|
|
* coordinates, see {@link Rectangle.simpleIntersection}.
|
|
*
|
|
* @param {Rectangle} rectangle On rectangle to find an intersection
|
|
* @param {Rectangle} otherRectangle Another rectangle to find an intersection
|
|
* @param {Rectangle} [result] The object onto which to store the result.
|
|
* @returns {Rectangle|undefined} The modified result parameter, a new Rectangle instance if none was provided or undefined if there is no intersection.
|
|
*/
|
|
Rectangle.intersection = function (rectangle, otherRectangle, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
Check.Check.typeOf.object("otherRectangle", otherRectangle);
|
|
//>>includeEnd('debug');
|
|
|
|
let rectangleEast = rectangle.east;
|
|
let rectangleWest = rectangle.west;
|
|
|
|
let otherRectangleEast = otherRectangle.east;
|
|
let otherRectangleWest = otherRectangle.west;
|
|
|
|
if (rectangleEast < rectangleWest && otherRectangleEast > 0.0) {
|
|
rectangleEast += Math$1.CesiumMath.TWO_PI;
|
|
} else if (otherRectangleEast < otherRectangleWest && rectangleEast > 0.0) {
|
|
otherRectangleEast += Math$1.CesiumMath.TWO_PI;
|
|
}
|
|
|
|
if (rectangleEast < rectangleWest && otherRectangleWest < 0.0) {
|
|
otherRectangleWest += Math$1.CesiumMath.TWO_PI;
|
|
} else if (otherRectangleEast < otherRectangleWest && rectangleWest < 0.0) {
|
|
rectangleWest += Math$1.CesiumMath.TWO_PI;
|
|
}
|
|
|
|
const west = Math$1.CesiumMath.negativePiToPi(
|
|
Math.max(rectangleWest, otherRectangleWest)
|
|
);
|
|
const east = Math$1.CesiumMath.negativePiToPi(
|
|
Math.min(rectangleEast, otherRectangleEast)
|
|
);
|
|
|
|
if (
|
|
(rectangle.west < rectangle.east ||
|
|
otherRectangle.west < otherRectangle.east) &&
|
|
east <= west
|
|
) {
|
|
return undefined;
|
|
}
|
|
|
|
const south = Math.max(rectangle.south, otherRectangle.south);
|
|
const north = Math.min(rectangle.north, otherRectangle.north);
|
|
|
|
if (south >= north) {
|
|
return undefined;
|
|
}
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Rectangle(west, south, east, north);
|
|
}
|
|
result.west = west;
|
|
result.south = south;
|
|
result.east = east;
|
|
result.north = north;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a simple intersection of two rectangles. Unlike {@link Rectangle.intersection}, this function
|
|
* does not attempt to put the angular coordinates into a consistent range or to account for crossing the
|
|
* anti-meridian. As such, it can be used for rectangles where the coordinates are not simply latitude
|
|
* and longitude (i.e. projected coordinates).
|
|
*
|
|
* @param {Rectangle} rectangle On rectangle to find an intersection
|
|
* @param {Rectangle} otherRectangle Another rectangle to find an intersection
|
|
* @param {Rectangle} [result] The object onto which to store the result.
|
|
* @returns {Rectangle|undefined} The modified result parameter, a new Rectangle instance if none was provided or undefined if there is no intersection.
|
|
*/
|
|
Rectangle.simpleIntersection = function (rectangle, otherRectangle, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
Check.Check.typeOf.object("otherRectangle", otherRectangle);
|
|
//>>includeEnd('debug');
|
|
|
|
const west = Math.max(rectangle.west, otherRectangle.west);
|
|
const south = Math.max(rectangle.south, otherRectangle.south);
|
|
const east = Math.min(rectangle.east, otherRectangle.east);
|
|
const north = Math.min(rectangle.north, otherRectangle.north);
|
|
|
|
if (south >= north || west >= east) {
|
|
return undefined;
|
|
}
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Rectangle(west, south, east, north);
|
|
}
|
|
|
|
result.west = west;
|
|
result.south = south;
|
|
result.east = east;
|
|
result.north = north;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a rectangle that is the union of two rectangles.
|
|
*
|
|
* @param {Rectangle} rectangle A rectangle to enclose in rectangle.
|
|
* @param {Rectangle} otherRectangle A rectangle to enclose in a rectangle.
|
|
* @param {Rectangle} [result] The object onto which to store the result.
|
|
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if none was provided.
|
|
*/
|
|
Rectangle.union = function (rectangle, otherRectangle, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
Check.Check.typeOf.object("otherRectangle", otherRectangle);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Rectangle();
|
|
}
|
|
|
|
let rectangleEast = rectangle.east;
|
|
let rectangleWest = rectangle.west;
|
|
|
|
let otherRectangleEast = otherRectangle.east;
|
|
let otherRectangleWest = otherRectangle.west;
|
|
|
|
if (rectangleEast < rectangleWest && otherRectangleEast > 0.0) {
|
|
rectangleEast += Math$1.CesiumMath.TWO_PI;
|
|
} else if (otherRectangleEast < otherRectangleWest && rectangleEast > 0.0) {
|
|
otherRectangleEast += Math$1.CesiumMath.TWO_PI;
|
|
}
|
|
|
|
if (rectangleEast < rectangleWest && otherRectangleWest < 0.0) {
|
|
otherRectangleWest += Math$1.CesiumMath.TWO_PI;
|
|
} else if (otherRectangleEast < otherRectangleWest && rectangleWest < 0.0) {
|
|
rectangleWest += Math$1.CesiumMath.TWO_PI;
|
|
}
|
|
|
|
const west = Math$1.CesiumMath.negativePiToPi(
|
|
Math.min(rectangleWest, otherRectangleWest)
|
|
);
|
|
const east = Math$1.CesiumMath.negativePiToPi(
|
|
Math.max(rectangleEast, otherRectangleEast)
|
|
);
|
|
|
|
result.west = west;
|
|
result.south = Math.min(rectangle.south, otherRectangle.south);
|
|
result.east = east;
|
|
result.north = Math.max(rectangle.north, otherRectangle.north);
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a rectangle by enlarging the provided rectangle until it contains the provided cartographic.
|
|
*
|
|
* @param {Rectangle} rectangle A rectangle to expand.
|
|
* @param {Cartographic} cartographic A cartographic to enclose in a rectangle.
|
|
* @param {Rectangle} [result] The object onto which to store the result.
|
|
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if one was not provided.
|
|
*/
|
|
Rectangle.expand = function (rectangle, cartographic, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
Check.Check.typeOf.object("cartographic", cartographic);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Rectangle();
|
|
}
|
|
|
|
result.west = Math.min(rectangle.west, cartographic.longitude);
|
|
result.south = Math.min(rectangle.south, cartographic.latitude);
|
|
result.east = Math.max(rectangle.east, cartographic.longitude);
|
|
result.north = Math.max(rectangle.north, cartographic.latitude);
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Returns true if the cartographic is on or inside the rectangle, false otherwise.
|
|
*
|
|
* @param {Rectangle} rectangle The rectangle
|
|
* @param {Cartographic} cartographic The cartographic to test.
|
|
* @returns {boolean} true if the provided cartographic is inside the rectangle, false otherwise.
|
|
*/
|
|
Rectangle.contains = function (rectangle, cartographic) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
Check.Check.typeOf.object("cartographic", cartographic);
|
|
//>>includeEnd('debug');
|
|
|
|
let longitude = cartographic.longitude;
|
|
const latitude = cartographic.latitude;
|
|
|
|
const west = rectangle.west;
|
|
let east = rectangle.east;
|
|
|
|
if (east < west) {
|
|
east += Math$1.CesiumMath.TWO_PI;
|
|
if (longitude < 0.0) {
|
|
longitude += Math$1.CesiumMath.TWO_PI;
|
|
}
|
|
}
|
|
return (
|
|
(longitude > west ||
|
|
Math$1.CesiumMath.equalsEpsilon(longitude, west, Math$1.CesiumMath.EPSILON14)) &&
|
|
(longitude < east ||
|
|
Math$1.CesiumMath.equalsEpsilon(longitude, east, Math$1.CesiumMath.EPSILON14)) &&
|
|
latitude >= rectangle.south &&
|
|
latitude <= rectangle.north
|
|
);
|
|
};
|
|
|
|
const subsampleLlaScratch = new Matrix3.Cartographic();
|
|
/**
|
|
* Samples a rectangle so that it includes a list of Cartesian points suitable for passing to
|
|
* {@link BoundingSphere#fromPoints}. Sampling is necessary to account
|
|
* for rectangles that cover the poles or cross the equator.
|
|
*
|
|
* @param {Rectangle} rectangle The rectangle to subsample.
|
|
* @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid to use.
|
|
* @param {number} [surfaceHeight=0.0] The height of the rectangle above the ellipsoid.
|
|
* @param {Cartesian3[]} [result] The array of Cartesians onto which to store the result.
|
|
* @returns {Cartesian3[]} The modified result parameter or a new Array of Cartesians instances if none was provided.
|
|
*/
|
|
Rectangle.subsample = function (rectangle, ellipsoid, surfaceHeight, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
//>>includeEnd('debug');
|
|
|
|
ellipsoid = defaultValue.defaultValue(ellipsoid, Matrix3.Ellipsoid.WGS84);
|
|
surfaceHeight = defaultValue.defaultValue(surfaceHeight, 0.0);
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
result = [];
|
|
}
|
|
let length = 0;
|
|
|
|
const north = rectangle.north;
|
|
const south = rectangle.south;
|
|
const east = rectangle.east;
|
|
const west = rectangle.west;
|
|
|
|
const lla = subsampleLlaScratch;
|
|
lla.height = surfaceHeight;
|
|
|
|
lla.longitude = west;
|
|
lla.latitude = north;
|
|
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
|
|
length++;
|
|
|
|
lla.longitude = east;
|
|
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
|
|
length++;
|
|
|
|
lla.latitude = south;
|
|
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
|
|
length++;
|
|
|
|
lla.longitude = west;
|
|
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
|
|
length++;
|
|
|
|
if (north < 0.0) {
|
|
lla.latitude = north;
|
|
} else if (south > 0.0) {
|
|
lla.latitude = south;
|
|
} else {
|
|
lla.latitude = 0.0;
|
|
}
|
|
|
|
for (let i = 1; i < 8; ++i) {
|
|
lla.longitude = -Math.PI + i * Math$1.CesiumMath.PI_OVER_TWO;
|
|
if (Rectangle.contains(rectangle, lla)) {
|
|
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
|
|
length++;
|
|
}
|
|
}
|
|
|
|
if (lla.latitude === 0.0) {
|
|
lla.longitude = west;
|
|
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
|
|
length++;
|
|
lla.longitude = east;
|
|
result[length] = ellipsoid.cartographicToCartesian(lla, result[length]);
|
|
length++;
|
|
}
|
|
result.length = length;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a subsection of a rectangle from normalized coordinates in the range [0.0, 1.0].
|
|
*
|
|
* @param {Rectangle} rectangle The rectangle to subsection.
|
|
* @param {number} westLerp The west interpolation factor in the range [0.0, 1.0]. Must be less than or equal to eastLerp.
|
|
* @param {number} southLerp The south interpolation factor in the range [0.0, 1.0]. Must be less than or equal to northLerp.
|
|
* @param {number} eastLerp The east interpolation factor in the range [0.0, 1.0]. Must be greater than or equal to westLerp.
|
|
* @param {number} northLerp The north interpolation factor in the range [0.0, 1.0]. Must be greater than or equal to southLerp.
|
|
* @param {Rectangle} [result] The object onto which to store the result.
|
|
* @returns {Rectangle} The modified result parameter or a new Rectangle instance if none was provided.
|
|
*/
|
|
Rectangle.subsection = function (
|
|
rectangle,
|
|
westLerp,
|
|
southLerp,
|
|
eastLerp,
|
|
northLerp,
|
|
result
|
|
) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("rectangle", rectangle);
|
|
Check.Check.typeOf.number.greaterThanOrEquals("westLerp", westLerp, 0.0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("westLerp", westLerp, 1.0);
|
|
Check.Check.typeOf.number.greaterThanOrEquals("southLerp", southLerp, 0.0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("southLerp", southLerp, 1.0);
|
|
Check.Check.typeOf.number.greaterThanOrEquals("eastLerp", eastLerp, 0.0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("eastLerp", eastLerp, 1.0);
|
|
Check.Check.typeOf.number.greaterThanOrEquals("northLerp", northLerp, 0.0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("northLerp", northLerp, 1.0);
|
|
|
|
Check.Check.typeOf.number.lessThanOrEquals("westLerp", westLerp, eastLerp);
|
|
Check.Check.typeOf.number.lessThanOrEquals("southLerp", southLerp, northLerp);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Rectangle();
|
|
}
|
|
|
|
// This function doesn't use CesiumMath.lerp because it has floating point precision problems
|
|
// when the start and end values are the same but the t changes.
|
|
|
|
if (rectangle.west <= rectangle.east) {
|
|
const width = rectangle.east - rectangle.west;
|
|
result.west = rectangle.west + westLerp * width;
|
|
result.east = rectangle.west + eastLerp * width;
|
|
} else {
|
|
const width = Math$1.CesiumMath.TWO_PI + rectangle.east - rectangle.west;
|
|
result.west = Math$1.CesiumMath.negativePiToPi(rectangle.west + westLerp * width);
|
|
result.east = Math$1.CesiumMath.negativePiToPi(rectangle.west + eastLerp * width);
|
|
}
|
|
const height = rectangle.north - rectangle.south;
|
|
result.south = rectangle.south + southLerp * height;
|
|
result.north = rectangle.south + northLerp * height;
|
|
|
|
// Fix floating point precision problems when t = 1
|
|
if (westLerp === 1.0) {
|
|
result.west = rectangle.east;
|
|
}
|
|
if (eastLerp === 1.0) {
|
|
result.east = rectangle.east;
|
|
}
|
|
if (southLerp === 1.0) {
|
|
result.south = rectangle.north;
|
|
}
|
|
if (northLerp === 1.0) {
|
|
result.north = rectangle.north;
|
|
}
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* The largest possible rectangle.
|
|
*
|
|
* @type {Rectangle}
|
|
* @constant
|
|
*/
|
|
Rectangle.MAX_VALUE = Object.freeze(
|
|
new Rectangle(
|
|
-Math.PI,
|
|
-Math$1.CesiumMath.PI_OVER_TWO,
|
|
Math.PI,
|
|
Math$1.CesiumMath.PI_OVER_TWO
|
|
)
|
|
);
|
|
|
|
/**
|
|
* A 2D Cartesian point.
|
|
* @alias Cartesian2
|
|
* @constructor
|
|
*
|
|
* @param {number} [x=0.0] The X component.
|
|
* @param {number} [y=0.0] The Y component.
|
|
*
|
|
* @see Cartesian3
|
|
* @see Cartesian4
|
|
* @see Packable
|
|
*/
|
|
function Cartesian2(x, y) {
|
|
/**
|
|
* The X component.
|
|
* @type {number}
|
|
* @default 0.0
|
|
*/
|
|
this.x = defaultValue.defaultValue(x, 0.0);
|
|
|
|
/**
|
|
* The Y component.
|
|
* @type {number}
|
|
* @default 0.0
|
|
*/
|
|
this.y = defaultValue.defaultValue(y, 0.0);
|
|
}
|
|
|
|
/**
|
|
* Creates a Cartesian2 instance from x and y coordinates.
|
|
*
|
|
* @param {number} x The x coordinate.
|
|
* @param {number} y The y coordinate.
|
|
* @param {Cartesian2} [result] The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
|
|
*/
|
|
Cartesian2.fromElements = function (x, y, result) {
|
|
if (!defaultValue.defined(result)) {
|
|
return new Cartesian2(x, y);
|
|
}
|
|
|
|
result.x = x;
|
|
result.y = y;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Duplicates a Cartesian2 instance.
|
|
*
|
|
* @param {Cartesian2} cartesian The Cartesian to duplicate.
|
|
* @param {Cartesian2} [result] The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided. (Returns undefined if cartesian is undefined)
|
|
*/
|
|
Cartesian2.clone = function (cartesian, result) {
|
|
if (!defaultValue.defined(cartesian)) {
|
|
return undefined;
|
|
}
|
|
if (!defaultValue.defined(result)) {
|
|
return new Cartesian2(cartesian.x, cartesian.y);
|
|
}
|
|
|
|
result.x = cartesian.x;
|
|
result.y = cartesian.y;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Creates a Cartesian2 instance from an existing Cartesian3. This simply takes the
|
|
* x and y properties of the Cartesian3 and drops z.
|
|
* @function
|
|
*
|
|
* @param {Cartesian3} cartesian The Cartesian3 instance to create a Cartesian2 instance from.
|
|
* @param {Cartesian2} [result] The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
|
|
*/
|
|
Cartesian2.fromCartesian3 = Cartesian2.clone;
|
|
|
|
/**
|
|
* Creates a Cartesian2 instance from an existing Cartesian4. This simply takes the
|
|
* x and y properties of the Cartesian4 and drops z and w.
|
|
* @function
|
|
*
|
|
* @param {Cartesian4} cartesian The Cartesian4 instance to create a Cartesian2 instance from.
|
|
* @param {Cartesian2} [result] The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
|
|
*/
|
|
Cartesian2.fromCartesian4 = Cartesian2.clone;
|
|
|
|
/**
|
|
* The number of elements used to pack the object into an array.
|
|
* @type {number}
|
|
*/
|
|
Cartesian2.packedLength = 2;
|
|
|
|
/**
|
|
* Stores the provided instance into the provided array.
|
|
*
|
|
* @param {Cartesian2} value The value to pack.
|
|
* @param {number[]} array The array to pack into.
|
|
* @param {number} [startingIndex=0] The index into the array at which to start packing the elements.
|
|
*
|
|
* @returns {number[]} The array that was packed into
|
|
*/
|
|
Cartesian2.pack = function (value, array, startingIndex) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("value", value);
|
|
Check.Check.defined("array", array);
|
|
//>>includeEnd('debug');
|
|
|
|
startingIndex = defaultValue.defaultValue(startingIndex, 0);
|
|
|
|
array[startingIndex++] = value.x;
|
|
array[startingIndex] = value.y;
|
|
|
|
return array;
|
|
};
|
|
|
|
/**
|
|
* Retrieves an instance from a packed array.
|
|
*
|
|
* @param {number[]} array The packed array.
|
|
* @param {number} [startingIndex=0] The starting index of the element to be unpacked.
|
|
* @param {Cartesian2} [result] The object into which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
|
|
*/
|
|
Cartesian2.unpack = function (array, startingIndex, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("array", array);
|
|
//>>includeEnd('debug');
|
|
|
|
startingIndex = defaultValue.defaultValue(startingIndex, 0);
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Cartesian2();
|
|
}
|
|
result.x = array[startingIndex++];
|
|
result.y = array[startingIndex];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Flattens an array of Cartesian2s into an array of components.
|
|
*
|
|
* @param {Cartesian2[]} array The array of cartesians to pack.
|
|
* @param {number[]} [result] The array onto which to store the result. If this is a typed array, it must have array.length * 2 components, else a {@link DeveloperError} will be thrown. If it is a regular array, it will be resized to have (array.length * 2) elements.
|
|
* @returns {number[]} The packed array.
|
|
*/
|
|
Cartesian2.packArray = function (array, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("array", array);
|
|
//>>includeEnd('debug');
|
|
|
|
const length = array.length;
|
|
const resultLength = length * 2;
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Array(resultLength);
|
|
} else if (!Array.isArray(result) && result.length !== resultLength) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
throw new Check.DeveloperError(
|
|
"If result is a typed array, it must have exactly array.length * 2 elements"
|
|
);
|
|
//>>includeEnd('debug');
|
|
} else if (result.length !== resultLength) {
|
|
result.length = resultLength;
|
|
}
|
|
|
|
for (let i = 0; i < length; ++i) {
|
|
Cartesian2.pack(array[i], result, i * 2);
|
|
}
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Unpacks an array of cartesian components into an array of Cartesian2s.
|
|
*
|
|
* @param {number[]} array The array of components to unpack.
|
|
* @param {Cartesian2[]} [result] The array onto which to store the result.
|
|
* @returns {Cartesian2[]} The unpacked array.
|
|
*/
|
|
Cartesian2.unpackArray = function (array, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("array", array);
|
|
Check.Check.typeOf.number.greaterThanOrEquals("array.length", array.length, 2);
|
|
if (array.length % 2 !== 0) {
|
|
throw new Check.DeveloperError("array length must be a multiple of 2.");
|
|
}
|
|
//>>includeEnd('debug');
|
|
|
|
const length = array.length;
|
|
if (!defaultValue.defined(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;
|
|
};
|
|
|
|
/**
|
|
* Creates a Cartesian2 from two consecutive elements in an array.
|
|
* @function
|
|
*
|
|
* @param {number[]} array The array whose two consecutive elements correspond to the x and y components, respectively.
|
|
* @param {number} [startingIndex=0] The offset into the array of the first element, which corresponds to the x component.
|
|
* @param {Cartesian2} [result] The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
|
|
*
|
|
* @example
|
|
* // Create a Cartesian2 with (1.0, 2.0)
|
|
* const v = [1.0, 2.0];
|
|
* const p = Cesium.Cartesian2.fromArray(v);
|
|
*
|
|
* // Create a Cartesian2 with (1.0, 2.0) using an offset into an array
|
|
* const v2 = [0.0, 0.0, 1.0, 2.0];
|
|
* const p2 = Cesium.Cartesian2.fromArray(v2, 2);
|
|
*/
|
|
Cartesian2.fromArray = Cartesian2.unpack;
|
|
|
|
/**
|
|
* Computes the value of the maximum component for the supplied Cartesian.
|
|
*
|
|
* @param {Cartesian2} cartesian The cartesian to use.
|
|
* @returns {number} The value of the maximum component.
|
|
*/
|
|
Cartesian2.maximumComponent = function (cartesian) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
//>>includeEnd('debug');
|
|
|
|
return Math.max(cartesian.x, cartesian.y);
|
|
};
|
|
|
|
/**
|
|
* Computes the value of the minimum component for the supplied Cartesian.
|
|
*
|
|
* @param {Cartesian2} cartesian The cartesian to use.
|
|
* @returns {number} The value of the minimum component.
|
|
*/
|
|
Cartesian2.minimumComponent = function (cartesian) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
//>>includeEnd('debug');
|
|
|
|
return Math.min(cartesian.x, cartesian.y);
|
|
};
|
|
|
|
/**
|
|
* Compares two Cartesians and computes a Cartesian which contains the minimum components of the supplied Cartesians.
|
|
*
|
|
* @param {Cartesian2} first A cartesian to compare.
|
|
* @param {Cartesian2} second A cartesian to compare.
|
|
* @param {Cartesian2} result The object into which to store the result.
|
|
* @returns {Cartesian2} A cartesian with the minimum components.
|
|
*/
|
|
Cartesian2.minimumByComponent = function (first, second, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("first", first);
|
|
Check.Check.typeOf.object("second", second);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = Math.min(first.x, second.x);
|
|
result.y = Math.min(first.y, second.y);
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Compares two Cartesians and computes a Cartesian which contains the maximum components of the supplied Cartesians.
|
|
*
|
|
* @param {Cartesian2} first A cartesian to compare.
|
|
* @param {Cartesian2} second A cartesian to compare.
|
|
* @param {Cartesian2} result The object into which to store the result.
|
|
* @returns {Cartesian2} A cartesian with the maximum components.
|
|
*/
|
|
Cartesian2.maximumByComponent = function (first, second, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("first", first);
|
|
Check.Check.typeOf.object("second", second);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = Math.max(first.x, second.x);
|
|
result.y = Math.max(first.y, second.y);
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Constrain a value to lie between two values.
|
|
*
|
|
* @param {Cartesian2} value The value to clamp.
|
|
* @param {Cartesian2} min The minimum bound.
|
|
* @param {Cartesian2} max The maximum bound.
|
|
* @param {Cartesian2} result The object into which to store the result.
|
|
* @returns {Cartesian2} The clamped value such that min <= result <= max.
|
|
*/
|
|
Cartesian2.clamp = function (value, min, max, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("value", value);
|
|
Check.Check.typeOf.object("min", min);
|
|
Check.Check.typeOf.object("max", max);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const x = Math$1.CesiumMath.clamp(value.x, min.x, max.x);
|
|
const y = Math$1.CesiumMath.clamp(value.y, min.y, max.y);
|
|
|
|
result.x = x;
|
|
result.y = y;
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the provided Cartesian's squared magnitude.
|
|
*
|
|
* @param {Cartesian2} cartesian The Cartesian instance whose squared magnitude is to be computed.
|
|
* @returns {number} The squared magnitude.
|
|
*/
|
|
Cartesian2.magnitudeSquared = function (cartesian) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
//>>includeEnd('debug');
|
|
|
|
return cartesian.x * cartesian.x + cartesian.y * cartesian.y;
|
|
};
|
|
|
|
/**
|
|
* Computes the Cartesian's magnitude (length).
|
|
*
|
|
* @param {Cartesian2} cartesian The Cartesian instance whose magnitude is to be computed.
|
|
* @returns {number} The magnitude.
|
|
*/
|
|
Cartesian2.magnitude = function (cartesian) {
|
|
return Math.sqrt(Cartesian2.magnitudeSquared(cartesian));
|
|
};
|
|
|
|
const distanceScratch = new Cartesian2();
|
|
|
|
/**
|
|
* Computes the distance between two points.
|
|
*
|
|
* @param {Cartesian2} left The first point to compute the distance from.
|
|
* @param {Cartesian2} right The second point to compute the distance to.
|
|
* @returns {number} The distance between two points.
|
|
*
|
|
* @example
|
|
* // Returns 1.0
|
|
* const d = Cesium.Cartesian2.distance(new Cesium.Cartesian2(1.0, 0.0), new Cesium.Cartesian2(2.0, 0.0));
|
|
*/
|
|
Cartesian2.distance = function (left, right) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
//>>includeEnd('debug');
|
|
|
|
Cartesian2.subtract(left, right, distanceScratch);
|
|
return Cartesian2.magnitude(distanceScratch);
|
|
};
|
|
|
|
/**
|
|
* Computes the squared distance between two points. Comparing squared distances
|
|
* using this function is more efficient than comparing distances using {@link Cartesian2#distance}.
|
|
*
|
|
* @param {Cartesian2} left The first point to compute the distance from.
|
|
* @param {Cartesian2} right The second point to compute the distance to.
|
|
* @returns {number} The distance between two points.
|
|
*
|
|
* @example
|
|
* // Returns 4.0, not 2.0
|
|
* const d = Cesium.Cartesian2.distance(new Cesium.Cartesian2(1.0, 0.0), new Cesium.Cartesian2(3.0, 0.0));
|
|
*/
|
|
Cartesian2.distanceSquared = function (left, right) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
//>>includeEnd('debug');
|
|
|
|
Cartesian2.subtract(left, right, distanceScratch);
|
|
return Cartesian2.magnitudeSquared(distanceScratch);
|
|
};
|
|
|
|
/**
|
|
* Computes the normalized form of the supplied Cartesian.
|
|
*
|
|
* @param {Cartesian2} cartesian The Cartesian to be normalized.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*/
|
|
Cartesian2.normalize = function (cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const magnitude = Cartesian2.magnitude(cartesian);
|
|
|
|
result.x = cartesian.x / magnitude;
|
|
result.y = cartesian.y / magnitude;
|
|
|
|
//>>includeStart('debug', pragmas.debug);
|
|
if (isNaN(result.x) || isNaN(result.y)) {
|
|
throw new Check.DeveloperError("normalized result is not a number");
|
|
}
|
|
//>>includeEnd('debug');
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the dot (scalar) product of two Cartesians.
|
|
*
|
|
* @param {Cartesian2} left The first Cartesian.
|
|
* @param {Cartesian2} right The second Cartesian.
|
|
* @returns {number} The dot product.
|
|
*/
|
|
Cartesian2.dot = function (left, right) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
//>>includeEnd('debug');
|
|
|
|
return left.x * right.x + left.y * right.y;
|
|
};
|
|
|
|
/**
|
|
* Computes the magnitude of the cross product that would result from implicitly setting the Z coordinate of the input vectors to 0
|
|
*
|
|
* @param {Cartesian2} left The first Cartesian.
|
|
* @param {Cartesian2} right The second Cartesian.
|
|
* @returns {number} The cross product.
|
|
*/
|
|
Cartesian2.cross = function (left, right) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
//>>includeEnd('debug');
|
|
|
|
return left.x * right.y - left.y * right.x;
|
|
};
|
|
|
|
/**
|
|
* Computes the componentwise product of two Cartesians.
|
|
*
|
|
* @param {Cartesian2} left The first Cartesian.
|
|
* @param {Cartesian2} right The second Cartesian.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*/
|
|
Cartesian2.multiplyComponents = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = left.x * right.x;
|
|
result.y = left.y * right.y;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the componentwise quotient of two Cartesians.
|
|
*
|
|
* @param {Cartesian2} left The first Cartesian.
|
|
* @param {Cartesian2} right The second Cartesian.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*/
|
|
Cartesian2.divideComponents = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = left.x / right.x;
|
|
result.y = left.y / right.y;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the componentwise sum of two Cartesians.
|
|
*
|
|
* @param {Cartesian2} left The first Cartesian.
|
|
* @param {Cartesian2} right The second Cartesian.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*/
|
|
Cartesian2.add = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = left.x + right.x;
|
|
result.y = left.y + right.y;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the componentwise difference of two Cartesians.
|
|
*
|
|
* @param {Cartesian2} left The first Cartesian.
|
|
* @param {Cartesian2} right The second Cartesian.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*/
|
|
Cartesian2.subtract = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = left.x - right.x;
|
|
result.y = left.y - right.y;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Multiplies the provided Cartesian componentwise by the provided scalar.
|
|
*
|
|
* @param {Cartesian2} cartesian The Cartesian to be scaled.
|
|
* @param {number} scalar The scalar to multiply with.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*/
|
|
Cartesian2.multiplyByScalar = function (cartesian, scalar, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.number("scalar", scalar);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = cartesian.x * scalar;
|
|
result.y = cartesian.y * scalar;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Divides the provided Cartesian componentwise by the provided scalar.
|
|
*
|
|
* @param {Cartesian2} cartesian The Cartesian to be divided.
|
|
* @param {number} scalar The scalar to divide by.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*/
|
|
Cartesian2.divideByScalar = function (cartesian, scalar, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.number("scalar", scalar);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = cartesian.x / scalar;
|
|
result.y = cartesian.y / scalar;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Negates the provided Cartesian.
|
|
*
|
|
* @param {Cartesian2} cartesian The Cartesian to be negated.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*/
|
|
Cartesian2.negate = function (cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = -cartesian.x;
|
|
result.y = -cartesian.y;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the absolute value of the provided Cartesian.
|
|
*
|
|
* @param {Cartesian2} cartesian The Cartesian whose absolute value is to be computed.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*/
|
|
Cartesian2.abs = function (cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = Math.abs(cartesian.x);
|
|
result.y = Math.abs(cartesian.y);
|
|
return result;
|
|
};
|
|
|
|
const lerpScratch = new Cartesian2();
|
|
/**
|
|
* Computes the linear interpolation or extrapolation at t using the provided cartesians.
|
|
*
|
|
* @param {Cartesian2} start The value corresponding to t at 0.0.
|
|
* @param {Cartesian2} end The value corresponding to t at 1.0.
|
|
* @param {number} t The point along t at which to interpolate.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*/
|
|
Cartesian2.lerp = function (start, end, t, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("start", start);
|
|
Check.Check.typeOf.object("end", end);
|
|
Check.Check.typeOf.number("t", t);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
Cartesian2.multiplyByScalar(end, t, lerpScratch);
|
|
result = Cartesian2.multiplyByScalar(start, 1.0 - t, result);
|
|
return Cartesian2.add(lerpScratch, result, result);
|
|
};
|
|
|
|
const angleBetweenScratch = new Cartesian2();
|
|
const angleBetweenScratch2 = new Cartesian2();
|
|
/**
|
|
* Returns the angle, in radians, between the provided Cartesians.
|
|
*
|
|
* @param {Cartesian2} left The first Cartesian.
|
|
* @param {Cartesian2} right The second Cartesian.
|
|
* @returns {number} The angle between the Cartesians.
|
|
*/
|
|
Cartesian2.angleBetween = function (left, right) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
//>>includeEnd('debug');
|
|
|
|
Cartesian2.normalize(left, angleBetweenScratch);
|
|
Cartesian2.normalize(right, angleBetweenScratch2);
|
|
return Math$1.CesiumMath.acosClamped(
|
|
Cartesian2.dot(angleBetweenScratch, angleBetweenScratch2)
|
|
);
|
|
};
|
|
|
|
const mostOrthogonalAxisScratch = new Cartesian2();
|
|
/**
|
|
* Returns the axis that is most orthogonal to the provided Cartesian.
|
|
*
|
|
* @param {Cartesian2} cartesian The Cartesian on which to find the most orthogonal axis.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The most orthogonal axis.
|
|
*/
|
|
Cartesian2.mostOrthogonalAxis = function (cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const f = Cartesian2.normalize(cartesian, mostOrthogonalAxisScratch);
|
|
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;
|
|
};
|
|
|
|
/**
|
|
* Compares the provided Cartesians componentwise and returns
|
|
* <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*
|
|
* @param {Cartesian2} [left] The first Cartesian.
|
|
* @param {Cartesian2} [right] The second Cartesian.
|
|
* @returns {boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
|
|
*/
|
|
Cartesian2.equals = function (left, right) {
|
|
return (
|
|
left === right ||
|
|
(defaultValue.defined(left) &&
|
|
defaultValue.defined(right) &&
|
|
left.x === right.x &&
|
|
left.y === right.y)
|
|
);
|
|
};
|
|
|
|
/**
|
|
* @private
|
|
*/
|
|
Cartesian2.equalsArray = function (cartesian, array, offset) {
|
|
return cartesian.x === array[offset] && cartesian.y === array[offset + 1];
|
|
};
|
|
|
|
/**
|
|
* Compares the provided Cartesians componentwise and returns
|
|
* <code>true</code> if they pass an absolute or relative tolerance test,
|
|
* <code>false</code> otherwise.
|
|
*
|
|
* @param {Cartesian2} [left] The first Cartesian.
|
|
* @param {Cartesian2} [right] The second Cartesian.
|
|
* @param {number} [relativeEpsilon=0] The relative epsilon tolerance to use for equality testing.
|
|
* @param {number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing.
|
|
* @returns {boolean} <code>true</code> if left and right are within the provided epsilon, <code>false</code> otherwise.
|
|
*/
|
|
Cartesian2.equalsEpsilon = function (
|
|
left,
|
|
right,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
) {
|
|
return (
|
|
left === right ||
|
|
(defaultValue.defined(left) &&
|
|
defaultValue.defined(right) &&
|
|
Math$1.CesiumMath.equalsEpsilon(
|
|
left.x,
|
|
right.x,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
) &&
|
|
Math$1.CesiumMath.equalsEpsilon(
|
|
left.y,
|
|
right.y,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
))
|
|
);
|
|
};
|
|
|
|
/**
|
|
* An immutable Cartesian2 instance initialized to (0.0, 0.0).
|
|
*
|
|
* @type {Cartesian2}
|
|
* @constant
|
|
*/
|
|
Cartesian2.ZERO = Object.freeze(new Cartesian2(0.0, 0.0));
|
|
|
|
/**
|
|
* An immutable Cartesian2 instance initialized to (1.0, 1.0).
|
|
*
|
|
* @type {Cartesian2}
|
|
* @constant
|
|
*/
|
|
Cartesian2.ONE = Object.freeze(new Cartesian2(1.0, 1.0));
|
|
|
|
/**
|
|
* An immutable Cartesian2 instance initialized to (1.0, 0.0).
|
|
*
|
|
* @type {Cartesian2}
|
|
* @constant
|
|
*/
|
|
Cartesian2.UNIT_X = Object.freeze(new Cartesian2(1.0, 0.0));
|
|
|
|
/**
|
|
* An immutable Cartesian2 instance initialized to (0.0, 1.0).
|
|
*
|
|
* @type {Cartesian2}
|
|
* @constant
|
|
*/
|
|
Cartesian2.UNIT_Y = Object.freeze(new Cartesian2(0.0, 1.0));
|
|
|
|
/**
|
|
* Duplicates this Cartesian2 instance.
|
|
*
|
|
* @param {Cartesian2} [result] The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter or a new Cartesian2 instance if one was not provided.
|
|
*/
|
|
Cartesian2.prototype.clone = function (result) {
|
|
return Cartesian2.clone(this, result);
|
|
};
|
|
|
|
/**
|
|
* Compares this Cartesian against the provided Cartesian componentwise and returns
|
|
* <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*
|
|
* @param {Cartesian2} [right] The right hand side Cartesian.
|
|
* @returns {boolean} <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*/
|
|
Cartesian2.prototype.equals = function (right) {
|
|
return Cartesian2.equals(this, right);
|
|
};
|
|
|
|
/**
|
|
* Compares this Cartesian against the provided Cartesian componentwise and returns
|
|
* <code>true</code> if they pass an absolute or relative tolerance test,
|
|
* <code>false</code> otherwise.
|
|
*
|
|
* @param {Cartesian2} [right] The right hand side Cartesian.
|
|
* @param {number} [relativeEpsilon=0] The relative epsilon tolerance to use for equality testing.
|
|
* @param {number} [absoluteEpsilon=relativeEpsilon] The absolute epsilon tolerance to use for equality testing.
|
|
* @returns {boolean} <code>true</code> if they are within the provided epsilon, <code>false</code> otherwise.
|
|
*/
|
|
Cartesian2.prototype.equalsEpsilon = function (
|
|
right,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
) {
|
|
return Cartesian2.equalsEpsilon(
|
|
this,
|
|
right,
|
|
relativeEpsilon,
|
|
absoluteEpsilon
|
|
);
|
|
};
|
|
|
|
/**
|
|
* Creates a string representing this Cartesian in the format '(x, y)'.
|
|
*
|
|
* @returns {string} A string representing the provided Cartesian in the format '(x, y)'.
|
|
*/
|
|
Cartesian2.prototype.toString = function () {
|
|
return `(${this.x}, ${this.y})`;
|
|
};
|
|
|
|
/**
|
|
* A 2x2 matrix, indexable as a column-major order array.
|
|
* Constructor parameters are in row-major order for code readability.
|
|
* @alias Matrix2
|
|
* @constructor
|
|
* @implements {ArrayLike<number>}
|
|
*
|
|
* @param {number} [column0Row0=0.0] The value for column 0, row 0.
|
|
* @param {number} [column1Row0=0.0] The value for column 1, row 0.
|
|
* @param {number} [column0Row1=0.0] The value for column 0, row 1.
|
|
* @param {number} [column1Row1=0.0] The value for column 1, row 1.
|
|
*
|
|
* @see Matrix2.fromArray
|
|
* @see Matrix2.fromColumnMajorArray
|
|
* @see Matrix2.fromRowMajorArray
|
|
* @see Matrix2.fromScale
|
|
* @see Matrix2.fromUniformScale
|
|
* @see Matrix2.fromRotation
|
|
* @see Matrix3
|
|
* @see Matrix4
|
|
*/
|
|
function Matrix2(column0Row0, column1Row0, column0Row1, column1Row1) {
|
|
this[0] = defaultValue.defaultValue(column0Row0, 0.0);
|
|
this[1] = defaultValue.defaultValue(column0Row1, 0.0);
|
|
this[2] = defaultValue.defaultValue(column1Row0, 0.0);
|
|
this[3] = defaultValue.defaultValue(column1Row1, 0.0);
|
|
}
|
|
|
|
/**
|
|
* The number of elements used to pack the object into an array.
|
|
* @type {number}
|
|
*/
|
|
Matrix2.packedLength = 4;
|
|
|
|
/**
|
|
* Stores the provided instance into the provided array.
|
|
*
|
|
* @param {Matrix2} value The value to pack.
|
|
* @param {number[]} array The array to pack into.
|
|
* @param {number} [startingIndex=0] The index into the array at which to start packing the elements.
|
|
*
|
|
* @returns {number[]} The array that was packed into
|
|
*/
|
|
Matrix2.pack = function (value, array, startingIndex) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("value", value);
|
|
Check.Check.defined("array", array);
|
|
//>>includeEnd('debug');
|
|
|
|
startingIndex = defaultValue.defaultValue(startingIndex, 0);
|
|
|
|
array[startingIndex++] = value[0];
|
|
array[startingIndex++] = value[1];
|
|
array[startingIndex++] = value[2];
|
|
array[startingIndex++] = value[3];
|
|
|
|
return array;
|
|
};
|
|
|
|
/**
|
|
* Retrieves an instance from a packed array.
|
|
*
|
|
* @param {number[]} array The packed array.
|
|
* @param {number} [startingIndex=0] The starting index of the element to be unpacked.
|
|
* @param {Matrix2} [result] The object into which to store the result.
|
|
* @returns {Matrix2} The modified result parameter or a new Matrix2 instance if one was not provided.
|
|
*/
|
|
Matrix2.unpack = function (array, startingIndex, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("array", array);
|
|
//>>includeEnd('debug');
|
|
|
|
startingIndex = defaultValue.defaultValue(startingIndex, 0);
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Matrix2();
|
|
}
|
|
|
|
result[0] = array[startingIndex++];
|
|
result[1] = array[startingIndex++];
|
|
result[2] = array[startingIndex++];
|
|
result[3] = array[startingIndex++];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Flattens an array of Matrix2s into an array of components. The components
|
|
* are stored in column-major order.
|
|
*
|
|
* @param {Matrix2[]} array The array of matrices to pack.
|
|
* @param {number[]} [result] The array onto which to store the result. If this is a typed array, it must have array.length * 4 components, else a {@link DeveloperError} will be thrown. If it is a regular array, it will be resized to have (array.length * 4) elements.
|
|
* @returns {number[]} The packed array.
|
|
*/
|
|
Matrix2.packArray = function (array, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("array", array);
|
|
//>>includeEnd('debug');
|
|
|
|
const length = array.length;
|
|
const resultLength = length * 4;
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Array(resultLength);
|
|
} else if (!Array.isArray(result) && result.length !== resultLength) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
throw new Check.DeveloperError(
|
|
"If result is a typed array, it must have exactly array.length * 4 elements"
|
|
);
|
|
//>>includeEnd('debug');
|
|
} else if (result.length !== resultLength) {
|
|
result.length = resultLength;
|
|
}
|
|
|
|
for (let i = 0; i < length; ++i) {
|
|
Matrix2.pack(array[i], result, i * 4);
|
|
}
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Unpacks an array of column-major matrix components into an array of Matrix2s.
|
|
*
|
|
* @param {number[]} array The array of components to unpack.
|
|
* @param {Matrix2[]} [result] The array onto which to store the result.
|
|
* @returns {Matrix2[]} The unpacked array.
|
|
*/
|
|
Matrix2.unpackArray = function (array, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("array", array);
|
|
Check.Check.typeOf.number.greaterThanOrEquals("array.length", array.length, 4);
|
|
if (array.length % 4 !== 0) {
|
|
throw new Check.DeveloperError("array length must be a multiple of 4.");
|
|
}
|
|
//>>includeEnd('debug');
|
|
|
|
const length = array.length;
|
|
if (!defaultValue.defined(result)) {
|
|
result = new Array(length / 4);
|
|
} else {
|
|
result.length = length / 4;
|
|
}
|
|
|
|
for (let i = 0; i < length; i += 4) {
|
|
const index = i / 4;
|
|
result[index] = Matrix2.unpack(array, i, result[index]);
|
|
}
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Duplicates a Matrix2 instance.
|
|
*
|
|
* @param {Matrix2} matrix The matrix to duplicate.
|
|
* @param {Matrix2} [result] The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter or a new Matrix2 instance if one was not provided. (Returns undefined if matrix is undefined)
|
|
*/
|
|
Matrix2.clone = function (matrix, result) {
|
|
if (!defaultValue.defined(matrix)) {
|
|
return undefined;
|
|
}
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix2(matrix[0], matrix[2], matrix[1], matrix[3]);
|
|
}
|
|
result[0] = matrix[0];
|
|
result[1] = matrix[1];
|
|
result[2] = matrix[2];
|
|
result[3] = matrix[3];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Creates a Matrix2 from 4 consecutive elements in an array.
|
|
*
|
|
* @function
|
|
* @param {number[]} array The array whose 4 consecutive elements correspond to the positions of the matrix. Assumes column-major order.
|
|
* @param {number} [startingIndex=0] The offset into the array of the first element, which corresponds to first column first row position in the matrix.
|
|
* @param {Matrix2} [result] The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter or a new Matrix2 instance if one was not provided.
|
|
*
|
|
* @example
|
|
* // Create the Matrix2:
|
|
* // [1.0, 2.0]
|
|
* // [1.0, 2.0]
|
|
*
|
|
* const v = [1.0, 1.0, 2.0, 2.0];
|
|
* const m = Cesium.Matrix2.fromArray(v);
|
|
*
|
|
* // Create same Matrix2 with using an offset into an array
|
|
* const v2 = [0.0, 0.0, 1.0, 1.0, 2.0, 2.0];
|
|
* const m2 = Cesium.Matrix2.fromArray(v2, 2);
|
|
*/
|
|
Matrix2.fromArray = Matrix2.unpack;
|
|
/**
|
|
* Creates a Matrix2 instance from a column-major order array.
|
|
*
|
|
* @param {number[]} values The column-major order array.
|
|
* @param {Matrix2} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix2} The modified result parameter, or a new Matrix2 instance if one was not provided.
|
|
*/
|
|
Matrix2.fromColumnMajorArray = function (values, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("values", values);
|
|
//>>includeEnd('debug');
|
|
|
|
return Matrix2.clone(values, result);
|
|
};
|
|
|
|
/**
|
|
* Creates a Matrix2 instance from a row-major order array.
|
|
* The resulting matrix will be in column-major order.
|
|
*
|
|
* @param {number[]} values The row-major order array.
|
|
* @param {Matrix2} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix2} The modified result parameter, or a new Matrix2 instance if one was not provided.
|
|
*/
|
|
Matrix2.fromRowMajorArray = function (values, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.defined("values", values);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix2(values[0], values[1], values[2], values[3]);
|
|
}
|
|
result[0] = values[0];
|
|
result[1] = values[2];
|
|
result[2] = values[1];
|
|
result[3] = values[3];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix2 instance representing a non-uniform scale.
|
|
*
|
|
* @param {Cartesian2} scale The x and y scale factors.
|
|
* @param {Matrix2} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix2} The modified result parameter, or a new Matrix2 instance if one was not provided.
|
|
*
|
|
* @example
|
|
* // Creates
|
|
* // [7.0, 0.0]
|
|
* // [0.0, 8.0]
|
|
* const m = Cesium.Matrix2.fromScale(new Cesium.Cartesian2(7.0, 8.0));
|
|
*/
|
|
Matrix2.fromScale = function (scale, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("scale", scale);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix2(scale.x, 0.0, 0.0, scale.y);
|
|
}
|
|
|
|
result[0] = scale.x;
|
|
result[1] = 0.0;
|
|
result[2] = 0.0;
|
|
result[3] = scale.y;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a Matrix2 instance representing a uniform scale.
|
|
*
|
|
* @param {number} scale The uniform scale factor.
|
|
* @param {Matrix2} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix2} The modified result parameter, or a new Matrix2 instance if one was not provided.
|
|
*
|
|
* @example
|
|
* // Creates
|
|
* // [2.0, 0.0]
|
|
* // [0.0, 2.0]
|
|
* const m = Cesium.Matrix2.fromUniformScale(2.0);
|
|
*/
|
|
Matrix2.fromUniformScale = function (scale, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.number("scale", scale);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix2(scale, 0.0, 0.0, scale);
|
|
}
|
|
|
|
result[0] = scale;
|
|
result[1] = 0.0;
|
|
result[2] = 0.0;
|
|
result[3] = scale;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Creates a rotation matrix.
|
|
*
|
|
* @param {number} angle The angle, in radians, of the rotation. Positive angles are counterclockwise.
|
|
* @param {Matrix2} [result] The object in which the result will be stored, if undefined a new instance will be created.
|
|
* @returns {Matrix2} The modified result parameter, or a new Matrix2 instance if one was not provided.
|
|
*
|
|
* @example
|
|
* // Rotate a point 45 degrees counterclockwise.
|
|
* const p = new Cesium.Cartesian2(5, 6);
|
|
* const m = Cesium.Matrix2.fromRotation(Cesium.Math.toRadians(45.0));
|
|
* const rotated = Cesium.Matrix2.multiplyByVector(m, p, new Cesium.Cartesian2());
|
|
*/
|
|
Matrix2.fromRotation = function (angle, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.number("angle", angle);
|
|
//>>includeEnd('debug');
|
|
|
|
const cosAngle = Math.cos(angle);
|
|
const sinAngle = Math.sin(angle);
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return new Matrix2(cosAngle, -sinAngle, sinAngle, cosAngle);
|
|
}
|
|
result[0] = cosAngle;
|
|
result[1] = sinAngle;
|
|
result[2] = -sinAngle;
|
|
result[3] = cosAngle;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Creates an Array from the provided Matrix2 instance.
|
|
* The array will be in column-major order.
|
|
*
|
|
* @param {Matrix2} matrix The matrix to use..
|
|
* @param {number[]} [result] The Array onto which to store the result.
|
|
* @returns {number[]} The modified Array parameter or a new Array instance if one was not provided.
|
|
*/
|
|
Matrix2.toArray = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
//>>includeEnd('debug');
|
|
|
|
if (!defaultValue.defined(result)) {
|
|
return [matrix[0], matrix[1], matrix[2], matrix[3]];
|
|
}
|
|
result[0] = matrix[0];
|
|
result[1] = matrix[1];
|
|
result[2] = matrix[2];
|
|
result[3] = matrix[3];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the array index of the element at the provided row and column.
|
|
*
|
|
* @param {number} row The zero-based index of the row.
|
|
* @param {number} column The zero-based index of the column.
|
|
* @returns {number} The index of the element at the provided row and column.
|
|
*
|
|
* @exception {DeveloperError} row must be 0 or 1.
|
|
* @exception {DeveloperError} column must be 0 or 1.
|
|
*
|
|
* @example
|
|
* const myMatrix = new Cesium.Matrix2();
|
|
* const column1Row0Index = Cesium.Matrix2.getElementIndex(1, 0);
|
|
* const column1Row0 = myMatrix[column1Row0Index]
|
|
* myMatrix[column1Row0Index] = 10.0;
|
|
*/
|
|
Matrix2.getElementIndex = function (column, row) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.number.greaterThanOrEquals("row", row, 0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("row", row, 1);
|
|
|
|
Check.Check.typeOf.number.greaterThanOrEquals("column", column, 0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("column", column, 1);
|
|
//>>includeEnd('debug');
|
|
|
|
return column * 2 + row;
|
|
};
|
|
|
|
/**
|
|
* Retrieves a copy of the matrix column at the provided index as a Cartesian2 instance.
|
|
*
|
|
* @param {Matrix2} matrix The matrix to use.
|
|
* @param {number} index The zero-based index of the column to retrieve.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*
|
|
* @exception {DeveloperError} index must be 0 or 1.
|
|
*/
|
|
Matrix2.getColumn = function (matrix, index, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
|
|
Check.Check.typeOf.number.greaterThanOrEquals("index", index, 0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("index", index, 1);
|
|
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const startIndex = index * 2;
|
|
const x = matrix[startIndex];
|
|
const y = matrix[startIndex + 1];
|
|
|
|
result.x = x;
|
|
result.y = y;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a new matrix that replaces the specified column in the provided matrix with the provided Cartesian2 instance.
|
|
*
|
|
* @param {Matrix2} matrix The matrix to use.
|
|
* @param {number} index The zero-based index of the column to set.
|
|
* @param {Cartesian2} cartesian The Cartesian whose values will be assigned to the specified column.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*
|
|
* @exception {DeveloperError} index must be 0 or 1.
|
|
*/
|
|
Matrix2.setColumn = function (matrix, index, cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
|
|
Check.Check.typeOf.number.greaterThanOrEquals("index", index, 0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("index", index, 1);
|
|
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result = Matrix2.clone(matrix, result);
|
|
const startIndex = index * 2;
|
|
result[startIndex] = cartesian.x;
|
|
result[startIndex + 1] = cartesian.y;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Retrieves a copy of the matrix row at the provided index as a Cartesian2 instance.
|
|
*
|
|
* @param {Matrix2} matrix The matrix to use.
|
|
* @param {number} index The zero-based index of the row to retrieve.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*
|
|
* @exception {DeveloperError} index must be 0 or 1.
|
|
*/
|
|
Matrix2.getRow = function (matrix, index, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
|
|
Check.Check.typeOf.number.greaterThanOrEquals("index", index, 0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("index", index, 1);
|
|
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const x = matrix[index];
|
|
const y = matrix[index + 2];
|
|
|
|
result.x = x;
|
|
result.y = y;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a new matrix that replaces the specified row in the provided matrix with the provided Cartesian2 instance.
|
|
*
|
|
* @param {Matrix2} matrix The matrix to use.
|
|
* @param {number} index The zero-based index of the row to set.
|
|
* @param {Cartesian2} cartesian The Cartesian whose values will be assigned to the specified row.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*
|
|
* @exception {DeveloperError} index must be 0 or 1.
|
|
*/
|
|
Matrix2.setRow = function (matrix, index, cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
|
|
Check.Check.typeOf.number.greaterThanOrEquals("index", index, 0);
|
|
Check.Check.typeOf.number.lessThanOrEquals("index", index, 1);
|
|
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result = Matrix2.clone(matrix, result);
|
|
result[index] = cartesian.x;
|
|
result[index + 2] = cartesian.y;
|
|
return result;
|
|
};
|
|
|
|
const scaleScratch1 = new Cartesian2();
|
|
|
|
/**
|
|
* Computes a new matrix that replaces the scale with the provided scale.
|
|
* This assumes the matrix is an affine transformation.
|
|
*
|
|
* @param {Matrix2} matrix The matrix to use.
|
|
* @param {Cartesian2} scale The scale that replaces the scale of the provided matrix.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*
|
|
* @see Matrix2.setUniformScale
|
|
* @see Matrix2.fromScale
|
|
* @see Matrix2.fromUniformScale
|
|
* @see Matrix2.multiplyByScale
|
|
* @see Matrix2.multiplyByUniformScale
|
|
* @see Matrix2.getScale
|
|
*/
|
|
Matrix2.setScale = function (matrix, scale, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("scale", scale);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const existingScale = Matrix2.getScale(matrix, scaleScratch1);
|
|
const scaleRatioX = scale.x / existingScale.x;
|
|
const scaleRatioY = scale.y / existingScale.y;
|
|
|
|
result[0] = matrix[0] * scaleRatioX;
|
|
result[1] = matrix[1] * scaleRatioX;
|
|
result[2] = matrix[2] * scaleRatioY;
|
|
result[3] = matrix[3] * scaleRatioY;
|
|
|
|
return result;
|
|
};
|
|
|
|
const scaleScratch2 = new Cartesian2();
|
|
|
|
/**
|
|
* Computes a new matrix that replaces the scale with the provided uniform scale.
|
|
* This assumes the matrix is an affine transformation.
|
|
*
|
|
* @param {Matrix2} matrix The matrix to use.
|
|
* @param {number} scale The uniform scale that replaces the scale of the provided matrix.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*
|
|
* @see Matrix2.setScale
|
|
* @see Matrix2.fromScale
|
|
* @see Matrix2.fromUniformScale
|
|
* @see Matrix2.multiplyByScale
|
|
* @see Matrix2.multiplyByUniformScale
|
|
* @see Matrix2.getScale
|
|
*/
|
|
Matrix2.setUniformScale = function (matrix, scale, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.number("scale", scale);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const existingScale = Matrix2.getScale(matrix, scaleScratch2);
|
|
const scaleRatioX = scale / existingScale.x;
|
|
const scaleRatioY = scale / existingScale.y;
|
|
|
|
result[0] = matrix[0] * scaleRatioX;
|
|
result[1] = matrix[1] * scaleRatioX;
|
|
result[2] = matrix[2] * scaleRatioY;
|
|
result[3] = matrix[3] * scaleRatioY;
|
|
|
|
return result;
|
|
};
|
|
|
|
const scratchColumn = new Cartesian2();
|
|
|
|
/**
|
|
* Extracts the non-uniform scale assuming the matrix is an affine transformation.
|
|
*
|
|
* @param {Matrix2} matrix The matrix.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*
|
|
* @see Matrix2.multiplyByScale
|
|
* @see Matrix2.multiplyByUniformScale
|
|
* @see Matrix2.fromScale
|
|
* @see Matrix2.fromUniformScale
|
|
* @see Matrix2.setScale
|
|
* @see Matrix2.setUniformScale
|
|
*/
|
|
Matrix2.getScale = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result.x = Cartesian2.magnitude(
|
|
Cartesian2.fromElements(matrix[0], matrix[1], scratchColumn)
|
|
);
|
|
result.y = Cartesian2.magnitude(
|
|
Cartesian2.fromElements(matrix[2], matrix[3], scratchColumn)
|
|
);
|
|
return result;
|
|
};
|
|
|
|
const scaleScratch3 = new Cartesian2();
|
|
|
|
/**
|
|
* Computes the maximum scale assuming the matrix is an affine transformation.
|
|
* The maximum scale is the maximum length of the column vectors.
|
|
*
|
|
* @param {Matrix2} matrix The matrix.
|
|
* @returns {number} The maximum scale.
|
|
*/
|
|
Matrix2.getMaximumScale = function (matrix) {
|
|
Matrix2.getScale(matrix, scaleScratch3);
|
|
return Cartesian2.maximumComponent(scaleScratch3);
|
|
};
|
|
|
|
const scaleScratch4 = new Cartesian2();
|
|
|
|
/**
|
|
* Sets the rotation assuming the matrix is an affine transformation.
|
|
*
|
|
* @param {Matrix2} matrix The matrix.
|
|
* @param {Matrix2} rotation The rotation matrix.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*
|
|
* @see Matrix2.fromRotation
|
|
* @see Matrix2.getRotation
|
|
*/
|
|
Matrix2.setRotation = function (matrix, rotation, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const scale = Matrix2.getScale(matrix, scaleScratch4);
|
|
|
|
result[0] = rotation[0] * scale.x;
|
|
result[1] = rotation[1] * scale.x;
|
|
result[2] = rotation[2] * scale.y;
|
|
result[3] = rotation[3] * scale.y;
|
|
|
|
return result;
|
|
};
|
|
|
|
const scaleScratch5 = new Cartesian2();
|
|
|
|
/**
|
|
* Extracts the rotation matrix assuming the matrix is an affine transformation.
|
|
*
|
|
* @param {Matrix2} matrix The matrix.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*
|
|
* @see Matrix2.setRotation
|
|
* @see Matrix2.fromRotation
|
|
*/
|
|
Matrix2.getRotation = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const scale = Matrix2.getScale(matrix, scaleScratch5);
|
|
|
|
result[0] = matrix[0] / scale.x;
|
|
result[1] = matrix[1] / scale.x;
|
|
result[2] = matrix[2] / scale.y;
|
|
result[3] = matrix[3] / scale.y;
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the product of two matrices.
|
|
*
|
|
* @param {Matrix2} left The first matrix.
|
|
* @param {Matrix2} right The second matrix.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*/
|
|
Matrix2.multiply = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const column0Row0 = left[0] * right[0] + left[2] * right[1];
|
|
const column1Row0 = left[0] * right[2] + left[2] * right[3];
|
|
const column0Row1 = left[1] * right[0] + left[3] * right[1];
|
|
const column1Row1 = left[1] * right[2] + left[3] * right[3];
|
|
|
|
result[0] = column0Row0;
|
|
result[1] = column0Row1;
|
|
result[2] = column1Row0;
|
|
result[3] = column1Row1;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the sum of two matrices.
|
|
*
|
|
* @param {Matrix2} left The first matrix.
|
|
* @param {Matrix2} right The second matrix.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*/
|
|
Matrix2.add = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result[0] = left[0] + right[0];
|
|
result[1] = left[1] + right[1];
|
|
result[2] = left[2] + right[2];
|
|
result[3] = left[3] + right[3];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the difference of two matrices.
|
|
*
|
|
* @param {Matrix2} left The first matrix.
|
|
* @param {Matrix2} right The second matrix.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*/
|
|
Matrix2.subtract = function (left, right, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("left", left);
|
|
Check.Check.typeOf.object("right", right);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result[0] = left[0] - right[0];
|
|
result[1] = left[1] - right[1];
|
|
result[2] = left[2] - right[2];
|
|
result[3] = left[3] - right[3];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the product of a matrix and a column vector.
|
|
*
|
|
* @param {Matrix2} matrix The matrix.
|
|
* @param {Cartesian2} cartesian The column.
|
|
* @param {Cartesian2} result The object onto which to store the result.
|
|
* @returns {Cartesian2} The modified result parameter.
|
|
*/
|
|
Matrix2.multiplyByVector = function (matrix, cartesian, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("cartesian", cartesian);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const x = matrix[0] * cartesian.x + matrix[2] * cartesian.y;
|
|
const y = matrix[1] * cartesian.x + matrix[3] * cartesian.y;
|
|
|
|
result.x = x;
|
|
result.y = y;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the product of a matrix and a scalar.
|
|
*
|
|
* @param {Matrix2} matrix The matrix.
|
|
* @param {number} scalar The number to multiply by.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*/
|
|
Matrix2.multiplyByScalar = function (matrix, scalar, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.number("scalar", scalar);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result[0] = matrix[0] * scalar;
|
|
result[1] = matrix[1] * scalar;
|
|
result[2] = matrix[2] * scalar;
|
|
result[3] = matrix[3] * scalar;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the product of a matrix times a (non-uniform) scale, as if the scale were a scale matrix.
|
|
*
|
|
* @param {Matrix2} matrix The matrix on the left-hand side.
|
|
* @param {Cartesian2} scale The non-uniform scale on the right-hand side.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*
|
|
*
|
|
* @example
|
|
* // Instead of Cesium.Matrix2.multiply(m, Cesium.Matrix2.fromScale(scale), m);
|
|
* Cesium.Matrix2.multiplyByScale(m, scale, m);
|
|
*
|
|
* @see Matrix2.multiplyByUniformScale
|
|
* @see Matrix2.fromScale
|
|
* @see Matrix2.fromUniformScale
|
|
* @see Matrix2.setScale
|
|
* @see Matrix2.setUniformScale
|
|
* @see Matrix2.getScale
|
|
*/
|
|
Matrix2.multiplyByScale = function (matrix, scale, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("scale", scale);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result[0] = matrix[0] * scale.x;
|
|
result[1] = matrix[1] * scale.x;
|
|
result[2] = matrix[2] * scale.y;
|
|
result[3] = matrix[3] * scale.y;
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the product of a matrix times a uniform scale, as if the scale were a scale matrix.
|
|
*
|
|
* @param {Matrix2} matrix The matrix on the left-hand side.
|
|
* @param {number} scale The uniform scale on the right-hand side.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*
|
|
* @example
|
|
* // Instead of Cesium.Matrix2.multiply(m, Cesium.Matrix2.fromUniformScale(scale), m);
|
|
* Cesium.Matrix2.multiplyByUniformScale(m, scale, m);
|
|
*
|
|
* @see Matrix2.multiplyByScale
|
|
* @see Matrix2.fromScale
|
|
* @see Matrix2.fromUniformScale
|
|
* @see Matrix2.setScale
|
|
* @see Matrix2.setUniformScale
|
|
* @see Matrix2.getScale
|
|
*/
|
|
Matrix2.multiplyByUniformScale = function (matrix, scale, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.number("scale", scale);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result[0] = matrix[0] * scale;
|
|
result[1] = matrix[1] * scale;
|
|
result[2] = matrix[2] * scale;
|
|
result[3] = matrix[3] * scale;
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Creates a negated copy of the provided matrix.
|
|
*
|
|
* @param {Matrix2} matrix The matrix to negate.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*/
|
|
Matrix2.negate = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result[0] = -matrix[0];
|
|
result[1] = -matrix[1];
|
|
result[2] = -matrix[2];
|
|
result[3] = -matrix[3];
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes the transpose of the provided matrix.
|
|
*
|
|
* @param {Matrix2} matrix The matrix to transpose.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*/
|
|
Matrix2.transpose = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
const column0Row0 = matrix[0];
|
|
const column0Row1 = matrix[2];
|
|
const column1Row0 = matrix[1];
|
|
const column1Row1 = matrix[3];
|
|
|
|
result[0] = column0Row0;
|
|
result[1] = column0Row1;
|
|
result[2] = column1Row0;
|
|
result[3] = column1Row1;
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Computes a matrix, which contains the absolute (unsigned) values of the provided matrix's elements.
|
|
*
|
|
* @param {Matrix2} matrix The matrix with signed elements.
|
|
* @param {Matrix2} result The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter.
|
|
*/
|
|
Matrix2.abs = function (matrix, result) {
|
|
//>>includeStart('debug', pragmas.debug);
|
|
Check.Check.typeOf.object("matrix", matrix);
|
|
Check.Check.typeOf.object("result", result);
|
|
//>>includeEnd('debug');
|
|
|
|
result[0] = Math.abs(matrix[0]);
|
|
result[1] = Math.abs(matrix[1]);
|
|
result[2] = Math.abs(matrix[2]);
|
|
result[3] = Math.abs(matrix[3]);
|
|
|
|
return result;
|
|
};
|
|
|
|
/**
|
|
* Compares the provided matrices componentwise and returns
|
|
* <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*
|
|
* @param {Matrix2} [left] The first matrix.
|
|
* @param {Matrix2} [right] The second matrix.
|
|
* @returns {boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
|
|
*/
|
|
Matrix2.equals = function (left, right) {
|
|
return (
|
|
left === right ||
|
|
(defaultValue.defined(left) &&
|
|
defaultValue.defined(right) &&
|
|
left[0] === right[0] &&
|
|
left[1] === right[1] &&
|
|
left[2] === right[2] &&
|
|
left[3] === right[3])
|
|
);
|
|
};
|
|
|
|
/**
|
|
* @private
|
|
*/
|
|
Matrix2.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]
|
|
);
|
|
};
|
|
|
|
/**
|
|
* Compares the provided matrices componentwise and returns
|
|
* <code>true</code> if they are within the provided epsilon,
|
|
* <code>false</code> otherwise.
|
|
*
|
|
* @param {Matrix2} [left] The first matrix.
|
|
* @param {Matrix2} [right] The second matrix.
|
|
* @param {number} [epsilon=0] The epsilon to use for equality testing.
|
|
* @returns {boolean} <code>true</code> if left and right are within the provided epsilon, <code>false</code> otherwise.
|
|
*/
|
|
Matrix2.equalsEpsilon = function (left, right, epsilon) {
|
|
epsilon = defaultValue.defaultValue(epsilon, 0);
|
|
return (
|
|
left === right ||
|
|
(defaultValue.defined(left) &&
|
|
defaultValue.defined(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)
|
|
);
|
|
};
|
|
|
|
/**
|
|
* An immutable Matrix2 instance initialized to the identity matrix.
|
|
*
|
|
* @type {Matrix2}
|
|
* @constant
|
|
*/
|
|
Matrix2.IDENTITY = Object.freeze(new Matrix2(1.0, 0.0, 0.0, 1.0));
|
|
|
|
/**
|
|
* An immutable Matrix2 instance initialized to the zero matrix.
|
|
*
|
|
* @type {Matrix2}
|
|
* @constant
|
|
*/
|
|
Matrix2.ZERO = Object.freeze(new Matrix2(0.0, 0.0, 0.0, 0.0));
|
|
|
|
/**
|
|
* The index into Matrix2 for column 0, row 0.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*
|
|
* @example
|
|
* const matrix = new Cesium.Matrix2();
|
|
* matrix[Cesium.Matrix2.COLUMN0ROW0] = 5.0; // set column 0, row 0 to 5.0
|
|
*/
|
|
Matrix2.COLUMN0ROW0 = 0;
|
|
|
|
/**
|
|
* The index into Matrix2 for column 0, row 1.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*
|
|
* @example
|
|
* const matrix = new Cesium.Matrix2();
|
|
* matrix[Cesium.Matrix2.COLUMN0ROW1] = 5.0; // set column 0, row 1 to 5.0
|
|
*/
|
|
Matrix2.COLUMN0ROW1 = 1;
|
|
|
|
/**
|
|
* The index into Matrix2 for column 1, row 0.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*
|
|
* @example
|
|
* const matrix = new Cesium.Matrix2();
|
|
* matrix[Cesium.Matrix2.COLUMN1ROW0] = 5.0; // set column 1, row 0 to 5.0
|
|
*/
|
|
Matrix2.COLUMN1ROW0 = 2;
|
|
|
|
/**
|
|
* The index into Matrix2 for column 1, row 1.
|
|
*
|
|
* @type {number}
|
|
* @constant
|
|
*
|
|
* @example
|
|
* const matrix = new Cesium.Matrix2();
|
|
* matrix[Cesium.Matrix2.COLUMN1ROW1] = 5.0; // set column 1, row 1 to 5.0
|
|
*/
|
|
Matrix2.COLUMN1ROW1 = 3;
|
|
|
|
Object.defineProperties(Matrix2.prototype, {
|
|
/**
|
|
* Gets the number of items in the collection.
|
|
* @memberof Matrix2.prototype
|
|
*
|
|
* @type {number}
|
|
*/
|
|
length: {
|
|
get: function () {
|
|
return Matrix2.packedLength;
|
|
},
|
|
},
|
|
});
|
|
|
|
/**
|
|
* Duplicates the provided Matrix2 instance.
|
|
*
|
|
* @param {Matrix2} [result] The object onto which to store the result.
|
|
* @returns {Matrix2} The modified result parameter or a new Matrix2 instance if one was not provided.
|
|
*/
|
|
Matrix2.prototype.clone = function (result) {
|
|
return Matrix2.clone(this, result);
|
|
};
|
|
|
|
/**
|
|
* Compares this matrix to the provided matrix componentwise and returns
|
|
* <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*
|
|
* @param {Matrix2} [right] The right hand side matrix.
|
|
* @returns {boolean} <code>true</code> if they are equal, <code>false</code> otherwise.
|
|
*/
|
|
Matrix2.prototype.equals = function (right) {
|
|
return Matrix2.equals(this, right);
|
|
};
|
|
|
|
/**
|
|
* Compares this matrix to the provided matrix componentwise and returns
|
|
* <code>true</code> if they are within the provided epsilon,
|
|
* <code>false</code> otherwise.
|
|
*
|
|
* @param {Matrix2} [right] The right hand side matrix.
|
|
* @param {number} [epsilon=0] The epsilon to use for equality testing.
|
|
* @returns {boolean} <code>true</code> if they are within the provided epsilon, <code>false</code> otherwise.
|
|
*/
|
|
Matrix2.prototype.equalsEpsilon = function (right, epsilon) {
|
|
return Matrix2.equalsEpsilon(this, right, epsilon);
|
|
};
|
|
|
|
/**
|
|
* Creates a string representing this Matrix with each row being
|
|
* on a separate line and in the format '(column0, column1)'.
|
|
*
|
|
* @returns {string} A string representing the provided Matrix with each row being on a separate line and in the format '(column0, column1)'.
|
|
*/
|
|
Matrix2.prototype.toString = function () {
|
|
return `(${this[0]}, ${this[2]})\n` + `(${this[1]}, ${this[3]})`;
|
|
};
|
|
|
|
exports.Cartesian2 = Cartesian2;
|
|
exports.Cartesian4 = Cartesian4;
|
|
exports.Matrix2 = Matrix2;
|
|
exports.Matrix4 = Matrix4;
|
|
exports.Rectangle = Rectangle;
|
|
|
|
}));
|
|
|