- /**
- * Cesium - https://github.com/CesiumGS/cesium
- *
- * Copyright 2011-2020 Cesium Contributors
- *
- * Licensed under the Apache License, Version 2.0 (the "License");
- * you may not use this file except in compliance with the License.
- * You may obtain a copy of the License at
- *
- * http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- *
- * Columbus View (Pat. Pend.)
- *
- * Portions licensed separately.
- * See https://github.com/CesiumGS/cesium/blob/master/LICENSE.md for full licensing details.
- */
- define(['exports', './when-8d13db60', './Check-70bec281', './Math-61ede240', './Cartographic-f2a06374'], function (exports, when, Check, _Math, Cartographic) { 'use strict';
-
- function initialize(ellipsoid, x, y, z) {
- x = when.defaultValue(x, 0.0);
- y = when.defaultValue(y, 0.0);
- z = when.defaultValue(z, 0.0);
-
- //>>includeStart('debug', pragmas.debug);
- Check.Check.typeOf.number.greaterThanOrEquals('x', x, 0.0);
- Check.Check.typeOf.number.greaterThanOrEquals('y', y, 0.0);
- Check.Check.typeOf.number.greaterThanOrEquals('z', z, 0.0);
- //>>includeEnd('debug');
-
- if(_Math.CesiumMath.equalsEpsilon(z, 6356752.3142451793, _Math.CesiumMath.EPSILON10)){
- _Math.CesiumMath.Radius = z;
- }
-
- ellipsoid._radii = new Cartographic.Cartesian3(x, y, z);
-
- ellipsoid._radiiSquared = new Cartographic.Cartesian3(x * x,
- y * y,
- z * z);
-
- ellipsoid._radiiToTheFourth = new Cartographic.Cartesian3(x * x * x * x,
- y * y * y * y,
- z * z * z * z);
-
- ellipsoid._oneOverRadii = new Cartographic.Cartesian3(x === 0.0 ? 0.0 : 1.0 / x,
- y === 0.0 ? 0.0 : 1.0 / y,
- z === 0.0 ? 0.0 : 1.0 / z);
-
- ellipsoid._oneOverRadiiSquared = new Cartographic.Cartesian3(x === 0.0 ? 0.0 : 1.0 / (x * x),
- y === 0.0 ? 0.0 : 1.0 / (y * y),
- z === 0.0 ? 0.0 : 1.0 / (z * z));
-
- ellipsoid._minimumRadius = Math.min(x, y, z);
-
- ellipsoid._maximumRadius = Math.max(x, y, z);
-
- ellipsoid._centerToleranceSquared = _Math.CesiumMath.EPSILON1;
-
- if (ellipsoid._radiiSquared.z !== 0) {
- ellipsoid._squaredXOverSquaredZ = ellipsoid._radiiSquared.x / ellipsoid._radiiSquared.z;
- }
- }
-
- /**
- * A quadratic surface defined in Cartesian coordinates by the equation
- * <code>(x / a)^2 + (y / b)^2 + (z / c)^2 = 1</code>. Primarily used
- * by Cesium to represent the shape of planetary bodies.
- *
- * Rather than constructing this object directly, one of the provided
- * constants is normally used.
- * @alias Ellipsoid
- * @constructor
- *
- * @param {Number} [x=0] The radius in the x direction.
- * @param {Number} [y=0] The radius in the y direction.
- * @param {Number} [z=0] The radius in the z direction.
- *
- * @exception {DeveloperError} All radii components must be greater than or equal to zero.
- *
- * @see Ellipsoid.fromCartesian3
- * @see Ellipsoid.WGS84
- * @see Ellipsoid.UNIT_SPHERE
- */
- function Ellipsoid(x, y, z) {
- this._radii = undefined;
- this._radiiSquared = undefined;
- this._radiiToTheFourth = undefined;
- this._oneOverRadii = undefined;
- this._oneOverRadiiSquared = undefined;
- this._minimumRadius = undefined;
- this._maximumRadius = undefined;
- this._centerToleranceSquared = undefined;
- this._squaredXOverSquaredZ = undefined;
-
- initialize(this, x, y, z);
- }
-
- Object.defineProperties(Ellipsoid.prototype, {
- /**
- * Gets the radii of the ellipsoid.
- * @memberof Ellipsoid.prototype
- * @type {Cartesian3}
- * @readonly
- */
- radii : {
- get: function() {
- return this._radii;
- }
- },
- /**
- * Gets the squared radii of the ellipsoid.
- * @memberof Ellipsoid.prototype
- * @type {Cartesian3}
- * @readonly
- */
- radiiSquared : {
- get : function() {
- return this._radiiSquared;
- }
- },
- /**
- * Gets the radii of the ellipsoid raise to the fourth power.
- * @memberof Ellipsoid.prototype
- * @type {Cartesian3}
- * @readonly
- */
- radiiToTheFourth : {
- get : function() {
- return this._radiiToTheFourth;
- }
- },
- /**
- * Gets one over the radii of the ellipsoid.
- * @memberof Ellipsoid.prototype
- * @type {Cartesian3}
- * @readonly
- */
- oneOverRadii : {
- get : function() {
- return this._oneOverRadii;
- }
- },
- /**
- * Gets one over the squared radii of the ellipsoid.
- * @memberof Ellipsoid.prototype
- * @type {Cartesian3}
- * @readonly
- */
- oneOverRadiiSquared : {
- get : function() {
- return this._oneOverRadiiSquared;
- }
- },
- /**
- * Gets the minimum radius of the ellipsoid.
- * @memberof Ellipsoid.prototype
- * @type {Number}
- * @readonly
- */
- minimumRadius : {
- get : function() {
- return this._minimumRadius;
- }
- },
- /**
- * Gets the maximum radius of the ellipsoid.
- * @memberof Ellipsoid.prototype
- * @type {Number}
- * @readonly
- */
- maximumRadius : {
- get : function() {
- return this._maximumRadius;
- }
- }
- });
-
- /**
- * Duplicates an Ellipsoid instance.
- *
- * @param {Ellipsoid} ellipsoid The ellipsoid to duplicate.
- * @param {Ellipsoid} [result] The object onto which to store the result, or undefined if a new
- * instance should be created.
- * @returns {Ellipsoid} The cloned Ellipsoid. (Returns undefined if ellipsoid is undefined)
- */
- Ellipsoid.clone = function(ellipsoid, result) {
- if (!when.defined(ellipsoid)) {
- return undefined;
- }
- var radii = ellipsoid._radii;
-
- if (!when.defined(result)) {
- return new Ellipsoid(radii.x, radii.y, radii.z);
- }
-
- Cartographic.Cartesian3.clone(radii, result._radii);
- Cartographic.Cartesian3.clone(ellipsoid._radiiSquared, result._radiiSquared);
- Cartographic.Cartesian3.clone(ellipsoid._radiiToTheFourth, result._radiiToTheFourth);
- Cartographic.Cartesian3.clone(ellipsoid._oneOverRadii, result._oneOverRadii);
- Cartographic.Cartesian3.clone(ellipsoid._oneOverRadiiSquared, result._oneOverRadiiSquared);
- result._minimumRadius = ellipsoid._minimumRadius;
- result._maximumRadius = ellipsoid._maximumRadius;
- result._centerToleranceSquared = ellipsoid._centerToleranceSquared;
-
- return result;
- };
-
- /**
- * Computes an Ellipsoid from a Cartesian specifying the radii in x, y, and z directions.
- *
- * @param {Cartesian3} [cartesian=Cartesian3.ZERO] The ellipsoid's radius in the x, y, and z directions.
- * @param {Ellipsoid} [result] The object onto which to store the result, or undefined if a new
- * instance should be created.
- * @returns {Ellipsoid} A new Ellipsoid instance.
- *
- * @exception {DeveloperError} All radii components must be greater than or equal to zero.
- *
- * @see Ellipsoid.WGS84
- * @see Ellipsoid.UNIT_SPHERE
- */
- Ellipsoid.fromCartesian3 = function(cartesian, result) {
- if (!when.defined(result)) {
- result = new Ellipsoid();
- }
-
- if (!when.defined(cartesian)) {
- return result;
- }
-
- initialize(result, cartesian.x, cartesian.y, cartesian.z);
- return result;
- };
-
- /**
- * An Ellipsoid instance initialized to the WGS84 standard.
- *
- * @type {Ellipsoid}
- * @constant
- */
- Ellipsoid.WGS84 = Object.freeze(new Ellipsoid(6378137.0, 6378137.0, _Math.CesiumMath.Radius));
-
- Ellipsoid.XIAN80 = Object.freeze(new Ellipsoid(6378140.0, 6378140.0, 6356755.29));
-
- Ellipsoid.CGCS2000 = Object.freeze(new Ellipsoid(6378137.0, 6378137.0, 6356752.31));
-
- /**
- * An Ellipsoid instance initialized to radii of (1.0, 1.0, 1.0).
- *
- * @type {Ellipsoid}
- * @constant
- */
- Ellipsoid.UNIT_SPHERE = Object.freeze(new Ellipsoid(1.0, 1.0, 1.0));
-
- /**
- * An Ellipsoid instance initialized to a sphere with the lunar radius.
- *
- * @type {Ellipsoid}
- * @constant
- */
- Ellipsoid.MOON = Object.freeze(new Ellipsoid(_Math.CesiumMath.LUNAR_RADIUS, _Math.CesiumMath.LUNAR_RADIUS, _Math.CesiumMath.LUNAR_RADIUS));
-
- /**
- * Duplicates an Ellipsoid instance.
- *
- * @param {Ellipsoid} [result] The object onto which to store the result, or undefined if a new
- * instance should be created.
- * @returns {Ellipsoid} The cloned Ellipsoid.
- */
- Ellipsoid.prototype.clone = function(result) {
- return Ellipsoid.clone(this, result);
- };
-
- /**
- * The number of elements used to pack the object into an array.
- * @type {Number}
- */
- Ellipsoid.packedLength = Cartographic.Cartesian3.packedLength;
-
- /**
- * Stores the provided instance into the provided array.
- *
- * @param {Ellipsoid} 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
- */
- Ellipsoid.pack = function(value, array, startingIndex) {
- //>>includeStart('debug', pragmas.debug);
- Check.Check.typeOf.object('value', value);
- Check.Check.defined('array', array);
- //>>includeEnd('debug');
-
- startingIndex = when.defaultValue(startingIndex, 0);
-
- Cartographic.Cartesian3.pack(value._radii, array, startingIndex);
-
- 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 {Ellipsoid} [result] The object into which to store the result.
- * @returns {Ellipsoid} The modified result parameter or a new Ellipsoid instance if one was not provided.
- */
- Ellipsoid.unpack = function(array, startingIndex, result) {
- //>>includeStart('debug', pragmas.debug);
- Check.Check.defined('array', array);
- //>>includeEnd('debug');
-
- startingIndex = when.defaultValue(startingIndex, 0);
-
- var radii = Cartographic.Cartesian3.unpack(array, startingIndex);
- return Ellipsoid.fromCartesian3(radii, result);
- };
-
- /**
- * Computes the unit vector directed from the center of this ellipsoid toward the provided Cartesian position.
- * @function
- *
- * @param {Cartesian3} cartesian The Cartesian for which to to determine the geocentric normal.
- * @param {Cartesian3} [result] The object onto which to store the result.
- * @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if none was provided.
- */
- Ellipsoid.prototype.geocentricSurfaceNormal = Cartographic.Cartesian3.normalize;
-
- /**
- * Computes the normal of the plane tangent to the surface of the ellipsoid at the provided position.
- *
- * @param {Cartographic} cartographic The cartographic position for which to to determine the geodetic normal.
- * @param {Cartesian3} [result] The object onto which to store the result.
- * @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if none was provided.
- */
- Ellipsoid.prototype.geodeticSurfaceNormalCartographic = function(cartographic, result) {
- //>>includeStart('debug', pragmas.debug);
- Check.Check.typeOf.object('cartographic', cartographic);
- //>>includeEnd('debug');
-
- var longitude = cartographic.longitude;
- var latitude = cartographic.latitude;
- var cosLatitude = Math.cos(latitude);
-
- var x = cosLatitude * Math.cos(longitude);
- var y = cosLatitude * Math.sin(longitude);
- var z = Math.sin(latitude);
-
- if (!when.defined(result)) {
- result = new Cartographic.Cartesian3();
- }
- result.x = x;
- result.y = y;
- result.z = z;
- return Cartographic.Cartesian3.normalize(result, result);
- };
-
- /**
- * Computes the normal of the plane tangent to the surface of the ellipsoid at the provided position.
- *
- * @param {Cartesian3} cartesian The Cartesian position for which to to determine the surface normal.
- * @param {Cartesian3} [result] The object onto which to store the result.
- * @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if none was provided.
- */
- Ellipsoid.prototype.geodeticSurfaceNormal = function(cartesian, result) {
- if (!when.defined(result)) {
- result = new Cartographic.Cartesian3();
- }
- result = Cartographic.Cartesian3.multiplyComponents(cartesian, this._oneOverRadiiSquared, result);
- return Cartographic.Cartesian3.normalize(result, result);
- };
-
- var cartographicToCartesianNormal = new Cartographic.Cartesian3();
- var cartographicToCartesianK = new Cartographic.Cartesian3();
-
- /**
- * Converts the provided cartographic to Cartesian representation.
- *
- * @param {Cartographic} cartographic The cartographic position.
- * @param {Cartesian3} [result] The object onto which to store the result.
- * @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if none was provided.
- *
- * @example
- * //Create a Cartographic and determine it's Cartesian representation on a WGS84 ellipsoid.
- * var position = new Cesium.Cartographic(Cesium.Math.toRadians(21), Cesium.Math.toRadians(78), 5000);
- * var cartesianPosition = Cesium.Ellipsoid.WGS84.cartographicToCartesian(position);
- */
- Ellipsoid.prototype.cartographicToCartesian = function(cartographic, result) {
- //`cartographic is required` is thrown from geodeticSurfaceNormalCartographic.
- var n = cartographicToCartesianNormal;
- var k = cartographicToCartesianK;
- this.geodeticSurfaceNormalCartographic(cartographic, n);
- Cartographic.Cartesian3.multiplyComponents(this._radiiSquared, n, k);
- var gamma = Math.sqrt(Cartographic.Cartesian3.dot(n, k));
- Cartographic.Cartesian3.divideByScalar(k, gamma, k);
- Cartographic.Cartesian3.multiplyByScalar(n, cartographic.height, n);
-
- if (!when.defined(result)) {
- result = new Cartographic.Cartesian3();
- }
- return Cartographic.Cartesian3.add(k, n, result);
- };
-
- /**
- * Converts the provided array of cartographics to an array of Cartesians.
- *
- * @param {Cartographic[]} cartographics An array of cartographic positions.
- * @param {Cartesian3[]} [result] The object onto which to store the result.
- * @returns {Cartesian3[]} The modified result parameter or a new Array instance if none was provided.
- *
- * @example
- * //Convert an array of Cartographics and determine their Cartesian representation on a WGS84 ellipsoid.
- * var positions = [new Cesium.Cartographic(Cesium.Math.toRadians(21), Cesium.Math.toRadians(78), 0),
- * new Cesium.Cartographic(Cesium.Math.toRadians(21.321), Cesium.Math.toRadians(78.123), 100),
- * new Cesium.Cartographic(Cesium.Math.toRadians(21.645), Cesium.Math.toRadians(78.456), 250)];
- * var cartesianPositions = Cesium.Ellipsoid.WGS84.cartographicArrayToCartesianArray(positions);
- */
- Ellipsoid.prototype.cartographicArrayToCartesianArray = function(cartographics, result) {
- //>>includeStart('debug', pragmas.debug);
- Check.Check.defined('cartographics', cartographics);
- //>>includeEnd('debug')
-
- var length = cartographics.length;
- if (!when.defined(result)) {
- result = new Array(length);
- } else {
- result.length = length;
- }
- for ( var i = 0; i < length; i++) {
- result[i] = this.cartographicToCartesian(cartographics[i], result[i]);
- }
- return result;
- };
-
- var cartesianToCartographicN = new Cartographic.Cartesian3();
- var cartesianToCartographicP = new Cartographic.Cartesian3();
- var cartesianToCartographicH = new Cartographic.Cartesian3();
-
- /**
- * Converts the provided cartesian to cartographic representation.
- * The cartesian is undefined at the center of the ellipsoid.
- *
- * @param {Cartesian3} cartesian The Cartesian position to convert to cartographic representation.
- * @param {Cartographic} [result] The object onto which to store the result.
- * @returns {Cartographic} The modified result parameter, new Cartographic instance if none was provided, or undefined if the cartesian is at the center of the ellipsoid.
- *
- * @example
- * //Create a Cartesian and determine it's Cartographic representation on a WGS84 ellipsoid.
- * var position = new Cesium.Cartesian3(17832.12, 83234.52, 952313.73);
- * var cartographicPosition = Cesium.Ellipsoid.WGS84.cartesianToCartographic(position);
- */
- Ellipsoid.prototype.cartesianToCartographic = function(cartesian, result) {
- //`cartesian is required.` is thrown from scaleToGeodeticSurface
- var p = this.scaleToGeodeticSurface(cartesian, cartesianToCartographicP);
-
- if (!when.defined(p)) {
- return undefined;
- }
-
- var n = this.geodeticSurfaceNormal(p, cartesianToCartographicN);
- var h = Cartographic.Cartesian3.subtract(cartesian, p, cartesianToCartographicH);
-
- var longitude = Math.atan2(n.y, n.x);
- var latitude = Math.asin(n.z);
- var height = _Math.CesiumMath.sign(Cartographic.Cartesian3.dot(h, cartesian)) * Cartographic.Cartesian3.magnitude(h);
-
- if (!when.defined(result)) {
- return new Cartographic.Cartographic(longitude, latitude, height);
- }
- result.longitude = longitude;
- result.latitude = latitude;
- result.height = height;
- return result;
- };
-
- /**
- * Converts the provided array of cartesians to an array of cartographics.
- *
- * @param {Cartesian3[]} cartesians An array of Cartesian positions.
- * @param {Cartographic[]} [result] The object onto which to store the result.
- * @returns {Cartographic[]} The modified result parameter or a new Array instance if none was provided.
- *
- * @example
- * //Create an array of Cartesians and determine their Cartographic representation on a WGS84 ellipsoid.
- * var positions = [new Cesium.Cartesian3(17832.12, 83234.52, 952313.73),
- * new Cesium.Cartesian3(17832.13, 83234.53, 952313.73),
- * new Cesium.Cartesian3(17832.14, 83234.54, 952313.73)]
- * var cartographicPositions = Cesium.Ellipsoid.WGS84.cartesianArrayToCartographicArray(positions);
- */
- Ellipsoid.prototype.cartesianArrayToCartographicArray = function(cartesians, result) {
- //>>includeStart('debug', pragmas.debug);
- Check.Check.defined('cartesians', cartesians);
- //>>includeEnd('debug');
-
- var length = cartesians.length;
- if (!when.defined(result)) {
- result = new Array(length);
- } else {
- result.length = length;
- }
- for ( var i = 0; i < length; ++i) {
- result[i] = this.cartesianToCartographic(cartesians[i], result[i]);
- }
- return result;
- };
-
- /**
- * Scales the provided Cartesian position along the geodetic surface normal
- * so that it is on the surface of this ellipsoid. If the position is
- * at the center of the ellipsoid, this function returns undefined.
- *
- * @param {Cartesian3} cartesian The Cartesian position to scale.
- * @param {Cartesian3} [result] The object onto which to store the result.
- * @returns {Cartesian3} The modified result parameter, a new Cartesian3 instance if none was provided, or undefined if the position is at the center.
- */
- Ellipsoid.prototype.scaleToGeodeticSurface = function(cartesian, result) {
- return Cartographic.scaleToGeodeticSurface(cartesian, this._oneOverRadii, this._oneOverRadiiSquared, this._centerToleranceSquared, result);
- };
-
- /**
- * Scales the provided Cartesian position along the geocentric surface normal
- * so that it is on the surface of this ellipsoid.
- *
- * @param {Cartesian3} cartesian The Cartesian position to scale.
- * @param {Cartesian3} [result] The object onto which to store the result.
- * @returns {Cartesian3} The modified result parameter or a new Cartesian3 instance if none was provided.
- */
- Ellipsoid.prototype.scaleToGeocentricSurface = function(cartesian, result) {
- //>>includeStart('debug', pragmas.debug);
- Check.Check.typeOf.object('cartesian', cartesian);
- //>>includeEnd('debug');
-
- if (!when.defined(result)) {
- result = new Cartographic.Cartesian3();
- }
-
- var positionX = cartesian.x;
- var positionY = cartesian.y;
- var positionZ = cartesian.z;
- var oneOverRadiiSquared = this._oneOverRadiiSquared;
-
- var beta = 1.0 / Math.sqrt((positionX * positionX) * oneOverRadiiSquared.x +
- (positionY * positionY) * oneOverRadiiSquared.y +
- (positionZ * positionZ) * oneOverRadiiSquared.z);
-
- return Cartographic.Cartesian3.multiplyByScalar(cartesian, beta, result);
- };
-
- /**
- * Transforms a Cartesian X, Y, Z position to the ellipsoid-scaled space by multiplying
- * its components by the result of {@link Ellipsoid#oneOverRadii}.
- *
- * @param {Cartesian3} position The position to transform.
- * @param {Cartesian3} [result] The position to which to copy the result, or undefined to create and
- * return a new instance.
- * @returns {Cartesian3} The position expressed in the scaled space. The returned instance is the
- * one passed as the result parameter if it is not undefined, or a new instance of it is.
- */
- Ellipsoid.prototype.transformPositionToScaledSpace = function(position, result) {
- if (!when.defined(result)) {
- result = new Cartographic.Cartesian3();
- }
-
- return Cartographic.Cartesian3.multiplyComponents(position, this._oneOverRadii, result);
- };
-
- /**
- * Transforms a Cartesian X, Y, Z position from the ellipsoid-scaled space by multiplying
- * its components by the result of {@link Ellipsoid#radii}.
- *
- * @param {Cartesian3} position The position to transform.
- * @param {Cartesian3} [result] The position to which to copy the result, or undefined to create and
- * return a new instance.
- * @returns {Cartesian3} The position expressed in the unscaled space. The returned instance is the
- * one passed as the result parameter if it is not undefined, or a new instance of it is.
- */
- Ellipsoid.prototype.transformPositionFromScaledSpace = function(position, result) {
- if (!when.defined(result)) {
- result = new Cartographic.Cartesian3();
- }
-
- return Cartographic.Cartesian3.multiplyComponents(position, this._radii, result);
- };
-
- /**
- * Compares this Ellipsoid against the provided Ellipsoid componentwise and returns
- * <code>true</code> if they are equal, <code>false</code> otherwise.
- *
- * @param {Ellipsoid} [right] The other Ellipsoid.
- * @returns {Boolean} <code>true</code> if they are equal, <code>false</code> otherwise.
- */
- Ellipsoid.prototype.equals = function(right) {
- return (this === right) ||
- (when.defined(right) &&
- Cartographic.Cartesian3.equals(this._radii, right._radii));
- };
-
- /**
- * Creates a string representing this Ellipsoid in the format '(radii.x, radii.y, radii.z)'.
- *
- * @returns {String} A string representing this ellipsoid in the format '(radii.x, radii.y, radii.z)'.
- */
- Ellipsoid.prototype.toString = function() {
- return this._radii.toString();
- };
-
- /**
- * Computes a point which is the intersection of the surface normal with the z-axis.
- *
- * @param {Cartesian3} position the position. must be on the surface of the ellipsoid.
- * @param {Number} [buffer = 0.0] A buffer to subtract from the ellipsoid size when checking if the point is inside the ellipsoid.
- * In earth case, with common earth datums, there is no need for this buffer since the intersection point is always (relatively) very close to the center.
- * In WGS84 datum, intersection point is at max z = +-42841.31151331382 (0.673% of z-axis).
- * Intersection point could be outside the ellipsoid if the ratio of MajorAxis / AxisOfRotation is bigger than the square root of 2
- * @param {Cartesian3} [result] The cartesian to which to copy the result, or undefined to create and
- * return a new instance.
- * @returns {Cartesian3 | undefined} the intersection point if it's inside the ellipsoid, undefined otherwise
- *
- * @exception {DeveloperError} position is required.
- * @exception {DeveloperError} Ellipsoid must be an ellipsoid of revolution (radii.x == radii.y).
- * @exception {DeveloperError} Ellipsoid.radii.z must be greater than 0.
- */
- Ellipsoid.prototype.getSurfaceNormalIntersectionWithZAxis = function(position, buffer, result) {
- //>>includeStart('debug', pragmas.debug);
- Check.Check.typeOf.object('position', position);
-
- if (!_Math.CesiumMath.equalsEpsilon(this._radii.x, this._radii.y, _Math.CesiumMath.EPSILON15)) {
- throw new Check.DeveloperError('Ellipsoid must be an ellipsoid of revolution (radii.x == radii.y)');
- }
-
- Check.Check.typeOf.number.greaterThan('Ellipsoid.radii.z', this._radii.z, 0);
- //>>includeEnd('debug');
-
- buffer = when.defaultValue(buffer, 0.0);
-
- var squaredXOverSquaredZ = this._squaredXOverSquaredZ;
-
- if (!when.defined(result)) {
- result = new Cartographic.Cartesian3();
- }
-
- result.x = 0.0;
- result.y = 0.0;
- result.z = position.z * (1 - squaredXOverSquaredZ);
-
- if (Math.abs(result.z) >= this._radii.z - buffer) {
- return undefined;
- }
-
- return result;
- };
-
- /**
- * 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 = when.defaultValue(west, 0.0);
-
- /**
- * The southernmost latitude in radians in the range [-Pi/2, Pi/2].
- *
- * @type {Number}
- * @default 0.0
- */
- this.south = when.defaultValue(south, 0.0);
-
- /**
- * The easternmost longitude in radians in the range [-Pi, Pi].
- *
- * @type {Number}
- * @default 0.0
- */
- this.east = when.defaultValue(east, 0.0);
-
- /**
- * The northernmost latitude in radians in the range [-Pi/2, Pi/2].
- *
- * @type {Number}
- * @default 0.0
- */
- this.north = when.defaultValue(north, 0.0);
- }
-
- Object.defineProperties(Rectangle.prototype, {
- /**
- * Gets the width of the rectangle in radians.
- * @memberof Rectangle.prototype
- * @type {Number}
- */
- width : {
- get : function() {
- return Rectangle.computeWidth(this);
- }
- },
-
- /**
- * Gets the height of the rectangle in radians.
- * @memberof Rectangle.prototype
- * @type {Number}
- */
- 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 = when.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 = when.defaultValue(startingIndex, 0);
-
- if (!when.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');
- var east = rectangle.east;
- var west = rectangle.west;
- if (east < west) {
- east += _Math.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
- * var rectangle = Cesium.Rectangle.fromDegrees(0.0, 20.0, 10.0, 30.0);
- */
- Rectangle.fromDegrees = function(west, south, east, north, result) {
- west = _Math.CesiumMath.toRadians(when.defaultValue(west, 0.0));
- south = _Math.CesiumMath.toRadians(when.defaultValue(south, 0.0));
- east = _Math.CesiumMath.toRadians(when.defaultValue(east, 0.0));
- north = _Math.CesiumMath.toRadians(when.defaultValue(north, 0.0));
-
- if (!when.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
- * var 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 (!when.defined(result)) {
- return new Rectangle(west, south, east, north);
- }
-
- result.west = when.defaultValue(west, 0.0);
- result.south = when.defaultValue(south, 0.0);
- result.east = when.defaultValue(east, 0.0);
- result.north = when.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');
-
- var west = Number.MAX_VALUE;
- var east = -Number.MAX_VALUE;
- var westOverIDL = Number.MAX_VALUE;
- var eastOverIDL = -Number.MAX_VALUE;
- var south = Number.MAX_VALUE;
- var north = -Number.MAX_VALUE;
-
- for ( var i = 0, len = cartographics.length; i < len; i++) {
- var 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);
-
- var lonAdjusted = position.longitude >= 0 ? position.longitude : position.longitude + _Math.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.CesiumMath.PI) {
- east = east - _Math.CesiumMath.TWO_PI;
- }
- if (west > _Math.CesiumMath.PI) {
- west = west - _Math.CesiumMath.TWO_PI;
- }
- }
-
- if (!when.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 = when.defaultValue(ellipsoid, Ellipsoid.WGS84);
-
- var west = Number.MAX_VALUE;
- var east = -Number.MAX_VALUE;
- var westOverIDL = Number.MAX_VALUE;
- var eastOverIDL = -Number.MAX_VALUE;
- var south = Number.MAX_VALUE;
- var north = -Number.MAX_VALUE;
-
- for ( var i = 0, len = cartesians.length; i < len; i++) {
- var 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);
-
- var lonAdjusted = position.longitude >= 0 ? position.longitude : position.longitude + _Math.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.CesiumMath.PI) {
- east = east - _Math.CesiumMath.TWO_PI;
- }
- if (west > _Math.CesiumMath.PI) {
- west = west - _Math.CesiumMath.TWO_PI;
- }
- }
-
- if (!when.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 (!when.defined(rectangle)) {
- return undefined;
- }
-
- if (!when.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 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) {
- //>>includeStart('debug', pragmas.debug);
- Check.Check.typeOf.number('absoluteEpsilon', absoluteEpsilon);
- //>>includeEnd('debug');
-
- return (left === right) ||
- (when.defined(left) &&
- when.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) ||
- ((when.defined(left)) &&
- (when.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 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) {
- //>>includeStart('debug', pragmas.debug);
- Check.Check.typeOf.number('epsilon', epsilon);
- //>>includeEnd('debug');
-
- 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);
-
- var north = rectangle.north;
- Check.Check.typeOf.number.greaterThanOrEquals('north', north, -_Math.CesiumMath.PI_OVER_TWO);
- Check.Check.typeOf.number.lessThanOrEquals('north', north, _Math.CesiumMath.PI_OVER_TWO);
-
- var south = rectangle.south;
- Check.Check.typeOf.number.greaterThanOrEquals('south', south, -_Math.CesiumMath.PI_OVER_TWO);
- Check.Check.typeOf.number.lessThanOrEquals('south', south, _Math.CesiumMath.PI_OVER_TWO);
-
- var west = rectangle.west;
- Check.Check.typeOf.number.greaterThanOrEquals('west', west, -Math.PI);
- Check.Check.typeOf.number.lessThanOrEquals('west', west, Math.PI);
-
- var 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 (!when.defined(result)) {
- return new Cartographic.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 (!when.defined(result)) {
- return new Cartographic.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 (!when.defined(result)) {
- return new Cartographic.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 (!when.defined(result)) {
- return new Cartographic.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');
-
- var east = rectangle.east;
- var west = rectangle.west;
-
- if (east < west) {
- east += _Math.CesiumMath.TWO_PI;
- }
-
- var longitude = _Math.CesiumMath.negativePiToPi((west + east) * 0.5);
- var latitude = (rectangle.south + rectangle.north) * 0.5;
-
- if (!when.defined(result)) {
- return new Cartographic.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');
-
- var rectangleEast = rectangle.east;
- var rectangleWest = rectangle.west;
-
- var otherRectangleEast = otherRectangle.east;
- var otherRectangleWest = otherRectangle.west;
-
- if (rectangleEast < rectangleWest && otherRectangleEast > 0.0) {
- rectangleEast += _Math.CesiumMath.TWO_PI;
- } else if (otherRectangleEast < otherRectangleWest && rectangleEast > 0.0) {
- otherRectangleEast += _Math.CesiumMath.TWO_PI;
- }
-
- if (rectangleEast < rectangleWest && otherRectangleWest < 0.0) {
- otherRectangleWest += _Math.CesiumMath.TWO_PI;
- } else if (otherRectangleEast < otherRectangleWest && rectangleWest < 0.0) {
- rectangleWest += _Math.CesiumMath.TWO_PI;
- }
-
- var west = _Math.CesiumMath.negativePiToPi(Math.max(rectangleWest, otherRectangleWest));
- var east = _Math.CesiumMath.negativePiToPi(Math.min(rectangleEast, otherRectangleEast));
-
- if ((rectangle.west < rectangle.east || otherRectangle.west < otherRectangle.east) && east <= west) {
- return undefined;
- }
-
- var south = Math.max(rectangle.south, otherRectangle.south);
- var north = Math.min(rectangle.north, otherRectangle.north);
-
- if (south >= north) {
- return undefined;
- }
-
- if (!when.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');
-
- var west = Math.max(rectangle.west, otherRectangle.west);
- var south = Math.max(rectangle.south, otherRectangle.south);
- var east = Math.min(rectangle.east, otherRectangle.east);
- var north = Math.min(rectangle.north, otherRectangle.north);
-
- if (south >= north || west >= east) {
- return undefined;
- }
-
- if (!when.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 (!when.defined(result)) {
- result = new Rectangle();
- }
-
- var rectangleEast = rectangle.east;
- var rectangleWest = rectangle.west;
-
- var otherRectangleEast = otherRectangle.east;
- var otherRectangleWest = otherRectangle.west;
-
- if (rectangleEast < rectangleWest && otherRectangleEast > 0.0) {
- rectangleEast += _Math.CesiumMath.TWO_PI;
- } else if (otherRectangleEast < otherRectangleWest && rectangleEast > 0.0) {
- otherRectangleEast += _Math.CesiumMath.TWO_PI;
- }
-
- if (rectangleEast < rectangleWest && otherRectangleWest < 0.0) {
- otherRectangleWest += _Math.CesiumMath.TWO_PI;
- } else if (otherRectangleEast < otherRectangleWest && rectangleWest < 0.0) {
- rectangleWest += _Math.CesiumMath.TWO_PI;
- }
-
- var west = _Math.CesiumMath.convertLongitudeRange(Math.min(rectangleWest, otherRectangleWest));
- var east = _Math.CesiumMath.convertLongitudeRange(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 (!when.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');
-
- var longitude = cartographic.longitude;
- var latitude = cartographic.latitude;
-
- var west = rectangle.west;
- var east = rectangle.east;
-
- if (east < west) {
- east += _Math.CesiumMath.TWO_PI;
- if (longitude < 0.0) {
- longitude += _Math.CesiumMath.TWO_PI;
- }
- }
- return (longitude > west || _Math.CesiumMath.equalsEpsilon(longitude, west, _Math.CesiumMath.EPSILON14)) &&
- (longitude < east || _Math.CesiumMath.equalsEpsilon(longitude, east, _Math.CesiumMath.EPSILON14)) &&
- latitude >= rectangle.south &&
- latitude <= rectangle.north;
- };
-
- var subsampleLlaScratch = new Cartographic.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 = when.defaultValue(ellipsoid, Ellipsoid.WGS84);
- surfaceHeight = when.defaultValue(surfaceHeight, 0.0);
-
- if (!when.defined(result)) {
- result = [];
- }
- var length = 0;
-
- var north = rectangle.north;
- var south = rectangle.south;
- var east = rectangle.east;
- var west = rectangle.west;
-
- var 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 ( var i = 1; i < 8; ++i) {
- lla.longitude = -Math.PI + i * _Math.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;
- };
-
- var scratchCartographic = new Cartographic.Cartographic();
- Rectangle.prototype.contains = function(rectangle) {
- return Rectangle.contains(this, Rectangle.southwest(rectangle, scratchCartographic))
- && Rectangle.contains(this, Rectangle.northwest(rectangle, scratchCartographic))
- && Rectangle.contains(this, Rectangle.southeast(rectangle, scratchCartographic))
- && Rectangle.contains(this, Rectangle.northeast(rectangle, scratchCartographic));
- };
-
- /**
- * The largest possible rectangle.
- *
- * @type {Rectangle}
- * @constant
- */
- Rectangle.MAX_VALUE = Object.freeze(new Rectangle(-Math.PI, -_Math.CesiumMath.PI_OVER_TWO, Math.PI, _Math.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 = when.defaultValue(x, 0.0);
-
- /**
- * The Y component.
- * @type {Number}
- * @default 0.0
- */
- this.y = when.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 (!when.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 (!when.defined(cartesian)) {
- return undefined;
- }
- if (!when.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 = when.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 = when.defaultValue(startingIndex, 0);
-
- if (!when.defined(result)) {
- result = new Cartesian2();
- }
- result.x = array[startingIndex++];
- result.y = array[startingIndex];
- return result;
- };
-
- /**
- * Flattens an array of Cartesian2s into and 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');
-
- var length = array.length;
- var resultLength = length * 2;
- if (!when.defined(result)) {
- result = new Array(resultLength);
- } else if (!Array.isArray(result) && result.length !== resultLength) {
- throw new Check.DeveloperError('If result is a typed array, it must have exactly array.length * 2 elements');
- } else if (result.length !== resultLength) {
- result.length = resultLength;
- }
-
- for (var i = 0; i < length; ++i) {
- Cartesian2.pack(array[i], result, i * 2);
- }
- return result;
- };
-
- /**
- * Unpacks an array of cartesian components into and 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');
-
- var length = array.length;
- if (!when.defined(result)) {
- result = new Array(length / 2);
- } else {
- result.length = length / 2;
- }
-
- for (var i = 0; i < length; i += 2) {
- var 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)
- * var v = [1.0, 2.0];
- * var p = Cesium.Cartesian2.fromArray(v);
- *
- * // Create a Cartesian2 with (1.0, 2.0) using an offset into an array
- * var v2 = [0.0, 0.0, 1.0, 2.0];
- * var 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;
- };
-
- /**
- * 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));
- };
-
- var 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
- * var 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
- * var 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');
-
- var 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 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;
- };
-
- var 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);
- };
-
- var angleBetweenScratch = new Cartesian2();
- var 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.CesiumMath.acosClamped(Cartesian2.dot(angleBetweenScratch, angleBetweenScratch2));
- };
-
- var 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');
-
- var 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) ||
- ((when.defined(left)) &&
- (when.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 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) ||
- (when.defined(left) &&
- when.defined(right) &&
- _Math.CesiumMath.equalsEpsilon(left.x, right.x, relativeEpsilon, absoluteEpsilon) &&
- _Math.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, 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 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 + ')';
- };
-
- exports.Cartesian2 = Cartesian2;
- exports.Ellipsoid = Ellipsoid;
- exports.Rectangle = Rectangle;
-
- });