qd-changjing/public/static/Build/CesiumUnminified/Workers/WebMercatorProjection-d67af...

176 lines
6.4 KiB
JavaScript

/**
* 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/main/LICENSE.md for full licensing details.
*/
define(['exports', './Matrix2-265d9610', './when-4bbc8319', './RuntimeError-5b082e8f', './ComponentDatatype-aad54330'], (function (exports, Matrix2, when, RuntimeError, ComponentDatatype) { '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, Matrix2.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 ComponentDatatype.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;
}
const 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) {
const semimajorAxis = this._semimajorAxis;
const x = cartographic.longitude * semimajorAxis;
const y =
WebMercatorProjection.geodeticLatitudeToMercatorAngle(
cartographic.latitude
) * semimajorAxis;
const z = cartographic.height;
if (!when.defined(result)) {
return new Matrix2.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 RuntimeError.DeveloperError("cartesian is required");
}
//>>includeEnd('debug');
const oneOverEarthSemimajorAxis = this._oneOverSemimajorAxis;
const longitude = cartesian.x * oneOverEarthSemimajorAxis;
const latitude = WebMercatorProjection.mercatorAngleToGeodeticLatitude(
cartesian.y * oneOverEarthSemimajorAxis
);
const height = cartesian.z;
if (!when.defined(result)) {
return new Matrix2.Cartographic(longitude, latitude, height);
}
result.longitude = longitude;
result.latitude = latitude;
result.height = height;
return result;
};
exports.WebMercatorProjection = WebMercatorProjection;
}));
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