/*global define*/
define([
'./Cartesian3',
'./defaultValue',
'./defined',
'./DeveloperError',
'./freezeObject',
'./Math',
'./scaleToGeodeticSurface'
], function(
Cartesian3,
defaultValue,
defined,
DeveloperError,
freezeObject,
CesiumMath,
scaleToGeodeticSurface) {
'use strict';
/**
* A position defined by longitude, latitude, and height.
* @alias Cartographic
* @constructor
*
* @param {Number} [longitude=0.0] The longitude, in radians.
* @param {Number} [latitude=0.0] The latitude, in radians.
* @param {Number} [height=0.0] The height, in meters, above the ellipsoid.
*
* @see Ellipsoid
*/
function Cartographic(longitude, latitude, height) {
/**
* The longitude, in radians.
* @type {Number}
* @default 0.0
*/
this.longitude = defaultValue(longitude, 0.0);
/**
* The latitude, in radians.
* @type {Number}
* @default 0.0
*/
this.latitude = defaultValue(latitude, 0.0);
/**
* The height, in meters, above the ellipsoid.
* @type {Number}
* @default 0.0
*/
this.height = defaultValue(height, 0.0);
}
/**
* Creates a new Cartographic instance from longitude and latitude
* specified in radians.
*
* @param {Number} longitude The longitude, in radians.
* @param {Number} latitude The latitude, in radians.
* @param {Number} [height=0.0] The height, in meters, above the ellipsoid.
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if one was not provided.
*/
Cartographic.fromRadians = function(longitude, latitude, height, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(longitude)) {
throw new DeveloperError('longitude is required.');
}
if (!defined(latitude)) {
throw new DeveloperError('latitude is required.');
}
//>>includeEnd('debug');
height = defaultValue(height, 0.0);
if (!defined(result)) {
return new Cartographic(longitude, latitude, height);
}
result.longitude = longitude;
result.latitude = latitude;
result.height = height;
return result;
};
/**
* Creates a new Cartographic instance from longitude and latitude
* specified in degrees. The values in the resulting object will
* be in radians.
*
* @param {Number} longitude The longitude, in degrees.
* @param {Number} latitude The latitude, in degrees.
* @param {Number} [height=0.0] The height, in meters, above the ellipsoid.
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if one was not provided.
*/
Cartographic.fromDegrees = function(longitude, latitude, height, result) {
//>>includeStart('debug', pragmas.debug);
if (!defined(longitude)) {
throw new DeveloperError('longitude is required.');
}
if (!defined(latitude)) {
throw new DeveloperError('latitude is required.');
}
//>>includeEnd('debug');
longitude = CesiumMath.toRadians(longitude);
latitude = CesiumMath.toRadians(latitude);
return Cartographic.fromRadians(longitude, latitude, height, result);
};
var cartesianToCartographicN = new Cartesian3();
var cartesianToCartographicP = new Cartesian3();
var cartesianToCartographicH = new Cartesian3();
var wgs84OneOverRadii = new Cartesian3(1.0 / 6378137.0, 1.0 / 6378137.0, 1.0 / 6356752.3142451793);
var wgs84OneOverRadiiSquared = new Cartesian3(1.0 / (6378137.0 * 6378137.0), 1.0 / (6378137.0 * 6378137.0), 1.0 / (6356752.3142451793 * 6356752.3142451793));
var wgs84CenterToleranceSquared = CesiumMath.EPSILON1;
/**
* Creates a new Cartographic instance from a Cartesian position. The values in the
* resulting object will be in radians.
*
* @param {Cartesian3} cartesian The Cartesian position to convert to cartographic representation.
* @param {Ellipsoid} [ellipsoid=Ellipsoid.WGS84] The ellipsoid on which the position lies.
* @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.
*/
Cartographic.fromCartesian = function(cartesian, ellipsoid, result) {
var oneOverRadii = defined(ellipsoid) ? ellipsoid.oneOverRadii : wgs84OneOverRadii;
var oneOverRadiiSquared = defined(ellipsoid) ? ellipsoid.oneOverRadiiSquared : wgs84OneOverRadiiSquared;
var centerToleranceSquared = defined(ellipsoid) ? ellipsoid._centerToleranceSquared : wgs84CenterToleranceSquared;
//`cartesian is required.` is thrown from scaleToGeodeticSurface
var p = scaleToGeodeticSurface(cartesian, oneOverRadii, oneOverRadiiSquared, centerToleranceSquared, cartesianToCartographicP);
if (!defined(p)) {
return undefined;
}
var n = Cartesian3.multiplyComponents(cartesian, oneOverRadiiSquared, cartesianToCartographicN);
n = Cartesian3.normalize(n, n);
var h = Cartesian3.subtract(cartesian, p, cartesianToCartographicH);
var longitude = Math.atan2(n.y, n.x);
var latitude = Math.asin(n.z);
var height = CesiumMath.sign(Cartesian3.dot(h, cartesian)) * Cartesian3.magnitude(h);
if (!defined(result)) {
return new Cartographic(longitude, latitude, height);
}
result.longitude = longitude;
result.latitude = latitude;
result.height = height;
return result;
};
/**
* Duplicates a Cartographic instance.
*
* @param {Cartographic} cartographic The cartographic to duplicate.
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if one was not provided. (Returns undefined if cartographic is undefined)
*/
Cartographic.clone = function(cartographic, result) {
if (!defined(cartographic)) {
return undefined;
}
if (!defined(result)) {
return new Cartographic(cartographic.longitude, cartographic.latitude, cartographic.height);
}
result.longitude = cartographic.longitude;
result.latitude = cartographic.latitude;
result.height = cartographic.height;
return result;
};
/**
* Compares the provided cartographics componentwise and returns
* <code>true</code> if they are equal, <code>false</code> otherwise.
*
* @param {Cartographic} [left] The first cartographic.
* @param {Cartographic} [right] The second cartographic.
* @returns {Boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
*/
Cartographic.equals = function(left, right) {
return (left === right) ||
((defined(left)) &&
(defined(right)) &&
(left.longitude === right.longitude) &&
(left.latitude === right.latitude) &&
(left.height === right.height));
};
/**
* Compares the provided cartographics componentwise and returns
* <code>true</code> if they are within the provided epsilon,
* <code>false</code> otherwise.
*
* @param {Cartographic} [left] The first cartographic.
* @param {Cartographic} [right] The second cartographic.
* @param {Number} epsilon The epsilon to use for equality testing.
* @returns {Boolean} <code>true</code> if left and right are within the provided epsilon, <code>false</code> otherwise.
*/
Cartographic.equalsEpsilon = function(left, right, epsilon) {
//>>includeStart('debug', pragmas.debug);
if (typeof epsilon !== 'number') {
throw new DeveloperError('epsilon is required and must be a number.');
}
//>>includeEnd('debug');
return (left === right) ||
((defined(left)) &&
(defined(right)) &&
(Math.abs(left.longitude - right.longitude) <= epsilon) &&
(Math.abs(left.latitude - right.latitude) <= epsilon) &&
(Math.abs(left.height - right.height) <= epsilon));
};
/**
* An immutable Cartographic instance initialized to (0.0, 0.0, 0.0).
*
* @type {Cartographic}
* @constant
*/
Cartographic.ZERO = freezeObject(new Cartographic(0.0, 0.0, 0.0));
/**
* Duplicates this instance.
*
* @param {Cartographic} [result] The object onto which to store the result.
* @returns {Cartographic} The modified result parameter or a new Cartographic instance if one was not provided.
*/
Cartographic.prototype.clone = function(result) {
return Cartographic.clone(this, result);
};
/**
* Compares the provided against this cartographic componentwise and returns
* <code>true</code> if they are equal, <code>false</code> otherwise.
*
* @param {Cartographic} [right] The second cartographic.
* @returns {Boolean} <code>true</code> if left and right are equal, <code>false</code> otherwise.
*/
Cartographic.prototype.equals = function(right) {
return Cartographic.equals(this, right);
};
/**
* Compares the provided against this cartographic componentwise and returns
* <code>true</code> if they are within the provided epsilon,
* <code>false</code> otherwise.
*
* @param {Cartographic} [right] The second cartographic.
* @param {Number} epsilon The epsilon to use for equality testing.
* @returns {Boolean} <code>true</code> if left and right are within the provided epsilon, <code>false</code> otherwise.
*/
Cartographic.prototype.equalsEpsilon = function(right, epsilon) {
return Cartographic.equalsEpsilon(this, right, epsilon);
};
/**
* Creates a string representing this cartographic in the format '(longitude, latitude, height)'.
*
* @returns {String} A string representing the provided cartographic in the format '(longitude, latitude, height)'.
*/
Cartographic.prototype.toString = function() {
return '(' + this.longitude + ', ' + this.latitude + ', ' + this.height + ')';
};
return Cartographic;
});