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- /**
- * Cesium - https://github.com/AnalyticalGraphicsInc/cesium
- *
- * Copyright 2011-2017 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/AnalyticalGraphicsInc/cesium/blob/master/LICENSE.md for full licensing details.
- */
- define(['exports', './when-8d13db60', './Check-70bec281', './Math-61ede240', './Cartographic-fe4be337', './Cartesian2-85064f09'], function (exports, when, Check, _Math, Cartographic, Cartesian2) { 'use strict';
- /**
- * The map projection used by Google Maps, Bing Maps, and most of ArcGIS Online, EPSG:3857. This
- * projection use longitude and latitude expressed with the WGS84 and transforms them to Mercator using
- * the spherical (rather than ellipsoidal) equations.
- *
- * @alias WebMercatorProjection
- * @constructor
- *
- * @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid.
- *
- * @see GeographicProjection
- */
- function WebMercatorProjection(ellipsoid) {
- this._ellipsoid = when.defaultValue(ellipsoid, Cartesian2.Ellipsoid.WGS84);
- this._semimajorAxis = this._ellipsoid.maximumRadius;
- this._oneOverSemimajorAxis = 1.0 / this._semimajorAxis;
- }
- Object.defineProperties(WebMercatorProjection.prototype, {
- /**
- * Gets the {@link Ellipsoid}.
- *
- * @memberof WebMercatorProjection.prototype
- *
- * @type {Ellipsoid}
- * @readonly
- */
- ellipsoid : {
- get : function() {
- return this._ellipsoid;
- }
- }
- });
- /**
- * Converts a Mercator angle, in the range -PI to PI, to a geodetic latitude
- * in the range -PI/2 to PI/2.
- *
- * @param {Number} mercatorAngle The angle to convert.
- * @returns {Number} The geodetic latitude in radians.
- */
- WebMercatorProjection.mercatorAngleToGeodeticLatitude = function(mercatorAngle) {
- return _Math.CesiumMath.PI_OVER_TWO - (2.0 * Math.atan(Math.exp(-mercatorAngle)));
- };
- /**
- * Converts a geodetic latitude in radians, in the range -PI/2 to PI/2, to a Mercator
- * angle in the range -PI to PI.
- *
- * @param {Number} latitude The geodetic latitude in radians.
- * @returns {Number} The Mercator angle.
- */
- WebMercatorProjection.geodeticLatitudeToMercatorAngle = function(latitude) {
- // Clamp the latitude coordinate to the valid Mercator bounds.
- if (latitude > WebMercatorProjection.MaximumLatitude) {
- latitude = WebMercatorProjection.MaximumLatitude;
- } else if (latitude < -WebMercatorProjection.MaximumLatitude) {
- latitude = -WebMercatorProjection.MaximumLatitude;
- }
- var sinLatitude = Math.sin(latitude);
- return 0.5 * Math.log((1.0 + sinLatitude) / (1.0 - sinLatitude));
- };
- /**
- * The maximum latitude (both North and South) supported by a Web Mercator
- * (EPSG:3857) projection. Technically, the Mercator projection is defined
- * for any latitude up to (but not including) 90 degrees, but it makes sense
- * to cut it off sooner because it grows exponentially with increasing latitude.
- * The logic behind this particular cutoff value, which is the one used by
- * Google Maps, Bing Maps, and Esri, is that it makes the projection
- * square. That is, the rectangle is equal in the X and Y directions.
- *
- * The constant value is computed by calling:
- * WebMercatorProjection.mercatorAngleToGeodeticLatitude(Math.PI)
- *
- * @type {Number}
- */
- WebMercatorProjection.MaximumLatitude = WebMercatorProjection.mercatorAngleToGeodeticLatitude(Math.PI);
- /**
- * Converts geodetic ellipsoid coordinates, in radians, to the equivalent Web Mercator
- * X, Y, Z coordinates expressed in meters and returned in a {@link Cartesian3}. The height
- * is copied unmodified to the Z coordinate.
- *
- * @param {Cartographic} cartographic The cartographic coordinates in radians.
- * @param {Cartesian3} [result] The instance to which to copy the result, or undefined if a
- * new instance should be created.
- * @returns {Cartesian3} The equivalent web mercator X, Y, Z coordinates, in meters.
- */
- WebMercatorProjection.prototype.project = function(cartographic, result) {
- var semimajorAxis = this._semimajorAxis;
- var x = cartographic.longitude * semimajorAxis;
- var y = WebMercatorProjection.geodeticLatitudeToMercatorAngle(cartographic.latitude) * semimajorAxis;
- var z = cartographic.height;
- if (!when.defined(result)) {
- return new Cartographic.Cartesian3(x, y, z);
- }
- result.x = x;
- result.y = y;
- result.z = z;
- return result;
- };
- /**
- * Converts Web Mercator X, Y coordinates, expressed in meters, to a {@link Cartographic}
- * containing geodetic ellipsoid coordinates. The Z coordinate is copied unmodified to the
- * height.
- *
- * @param {Cartesian3} cartesian The web mercator Cartesian position to unrproject with height (z) in meters.
- * @param {Cartographic} [result] The instance to which to copy the result, or undefined if a
- * new instance should be created.
- * @returns {Cartographic} The equivalent cartographic coordinates.
- */
- WebMercatorProjection.prototype.unproject = function(cartesian, result) {
- //>>includeStart('debug', pragmas.debug);
- if (!when.defined(cartesian)) {
- throw new Check.DeveloperError('cartesian is required');
- }
- //>>includeEnd('debug');
- var oneOverEarthSemimajorAxis = this._oneOverSemimajorAxis;
- var longitude = cartesian.x * oneOverEarthSemimajorAxis;
- var latitude = WebMercatorProjection.mercatorAngleToGeodeticLatitude(cartesian.y * oneOverEarthSemimajorAxis);
- var height = cartesian.z;
- if (!when.defined(result)) {
- return new Cartographic.Cartographic(longitude, latitude, height);
- }
- result.longitude = longitude;
- result.latitude = latitude;
- result.height = height;
- return result;
- };
- exports.WebMercatorProjection = WebMercatorProjection;
- });
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