Name modules more like their provide
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109
src/ol/sphere.js
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109
src/ol/sphere.js
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/**
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* @license
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* Latitude/longitude spherical geodesy formulae taken from
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* http://www.movable-type.co.uk/scripts/latlong.html
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* Licensed under CC-BY-3.0.
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*/
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goog.provide('ol.Sphere');
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goog.require('ol.math');
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/**
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* @classdesc
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* Class to create objects that can be used with {@link
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* ol.geom.Polygon.circular}.
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*
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* For example to create a sphere whose radius is equal to the semi-major
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* axis of the WGS84 ellipsoid:
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*
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* ```js
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* var wgs84Sphere= new ol.Sphere(6378137);
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* ```
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*
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* @constructor
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* @param {number} radius Radius.
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* @api
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*/
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ol.Sphere = function(radius) {
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/**
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* @type {number}
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*/
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this.radius = radius;
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};
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/**
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* Returns the geodesic area for a list of coordinates.
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*
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* [Reference](http://trs-new.jpl.nasa.gov/dspace/handle/2014/40409)
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* Robert. G. Chamberlain and William H. Duquette, "Some Algorithms for
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* Polygons on a Sphere", JPL Publication 07-03, Jet Propulsion
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* Laboratory, Pasadena, CA, June 2007
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*
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* @param {Array.<ol.Coordinate>} coordinates List of coordinates of a linear
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* ring. If the ring is oriented clockwise, the area will be positive,
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* otherwise it will be negative.
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* @return {number} Area.
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* @api
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*/
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ol.Sphere.prototype.geodesicArea = function(coordinates) {
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var area = 0, len = coordinates.length;
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var x1 = coordinates[len - 1][0];
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var y1 = coordinates[len - 1][1];
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for (var i = 0; i < len; i++) {
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var x2 = coordinates[i][0], y2 = coordinates[i][1];
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area += ol.math.toRadians(x2 - x1) *
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(2 + Math.sin(ol.math.toRadians(y1)) +
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Math.sin(ol.math.toRadians(y2)));
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x1 = x2;
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y1 = y2;
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}
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return area * this.radius * this.radius / 2.0;
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};
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/**
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* Returns the distance from c1 to c2 using the haversine formula.
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*
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* @param {ol.Coordinate} c1 Coordinate 1.
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* @param {ol.Coordinate} c2 Coordinate 2.
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* @return {number} Haversine distance.
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* @api
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*/
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ol.Sphere.prototype.haversineDistance = function(c1, c2) {
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var lat1 = ol.math.toRadians(c1[1]);
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var lat2 = ol.math.toRadians(c2[1]);
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var deltaLatBy2 = (lat2 - lat1) / 2;
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var deltaLonBy2 = ol.math.toRadians(c2[0] - c1[0]) / 2;
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var a = Math.sin(deltaLatBy2) * Math.sin(deltaLatBy2) +
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Math.sin(deltaLonBy2) * Math.sin(deltaLonBy2) *
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Math.cos(lat1) * Math.cos(lat2);
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return 2 * this.radius * Math.atan2(Math.sqrt(a), Math.sqrt(1 - a));
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};
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/**
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* Returns the coordinate at the given distance and bearing from `c1`.
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*
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* @param {ol.Coordinate} c1 The origin point (`[lon, lat]` in degrees).
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* @param {number} distance The great-circle distance between the origin
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* point and the target point.
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* @param {number} bearing The bearing (in radians).
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* @return {ol.Coordinate} The target point.
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*/
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ol.Sphere.prototype.offset = function(c1, distance, bearing) {
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var lat1 = ol.math.toRadians(c1[1]);
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var lon1 = ol.math.toRadians(c1[0]);
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var dByR = distance / this.radius;
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var lat = Math.asin(
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Math.sin(lat1) * Math.cos(dByR) +
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Math.cos(lat1) * Math.sin(dByR) * Math.cos(bearing));
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var lon = lon1 + Math.atan2(
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Math.sin(bearing) * Math.sin(dByR) * Math.cos(lat1),
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Math.cos(dByR) - Math.sin(lat1) * Math.sin(lat));
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return [ol.math.toDegrees(lon), ol.math.toDegrees(lat)];
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};
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