haversine-position
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Convert GPS coordinates into local coordinate system relative to the origin with output of [x, y] in meter, bearing(degree) and distance(m)
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<a href="index.html">All files</a> haversine.ts
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<span class="cline-any cline-neutral"> </span></td><td class="text"><pre class="prettyprint lang-js">import { Util } from './util';
import { GpsPoint } from './gpsPoint';
const wgs84 = require('wgs84');
export class Haversine {
private origin: GpsPoint;
private R: number;
constructor(origin: GpsPoint) {
this.R = wgs84.RADIUS;
this.origin = origin;
}
/**
* Get the distance of the next point relative to the origin
* @param origin the origin gps coordinate
* @param next next gps coordinate
* @returns distance in meter (m)
*/
static getDistance(origin: GpsPoint, next: GpsPoint): number {
const haversine = new Haversine(origin);
return haversine.getDistance(next);
}
/**
* Get the bearing of the next point relative to the origin
* @param origin the origin gps coordinate
* @param next next gps coordinate
* @returns bearing in degree (deg)
*/
static getBearing(origin: GpsPoint, next: GpsPoint): number {
const haversine = new Haversine(origin);
return haversine.getBearing(next);
}
/**
* Get the next gps coordinate position relative to the origin
* @param origin the origin gps coordinate
* @param next the next gps coordinate
* @returns [x, y] in meter (m) relative to the origin
*/
static getPosition(origin: GpsPoint, next: GpsPoint): number {
const haversine = new Haversine(origin);
return haversine.getPosition(next);
}
/**
* Get the next gps coordinate position relative to the origin
* @param next the next gps coordinate
* @returns [x, y] in meter (m) relative to the origin
*/
getPosition(next: GpsPoint): any {
const distance = this.getDistance(next);
const bearing = this.getBearing(next);
const x = distance * Math.sin(Util.toRadian(bearing));
const y = distance * Math.cos(Util.toRadian(bearing));
return [x, y];
}
/**
* Get the distance of the next point relative to the origin
* @param next next gps coordinate
* @returns distance in meter (m)
*/
getDistance(next: GpsPoint): number {
const dLat = Util.toRadian(next.lat - this.origin.lat);
const dLong = Util.toRadian(next.lng - this.origin.lng);
const lat1 = Util.toRadian(this.origin.lat);
const lat2 = Util.toRadian(next.lat);
const a = Math.sin(dLat / 2) * Math.sin(dLat / 2) +
Math.sin(dLong/ 2) * Math.sin(dLong / 2) * Math.cos(lat1) * Math.cos(lat2);
const c = 2 * Math.atan2(Math.sqrt(a), Math.sqrt(1 - a));
return this.R * c;
}
/**
* Get the bearing of the next point relative to the origin
* @param next next gps coordinate
* @returns bearing in degree (deg)
*/
getBearing(next: GpsPoint): number {
const lat1 = Util.toRadian(this.origin.lat);
const lat2 = Util.toRadian(next.lat);
const long1 = Util.toRadian(this.origin.lng);
const long2 = Util.toRadian(next.lng);
const y = Math.sin(long2 - long1) * Math.cos(lat2);
const x = Math.cos(lat1) * Math.sin(lat2) -
Math.sin(lat1) * Math.cos(lat2) * Math.cos(long2 - long1);
return (Util.toDegree(Math.atan2(y, x)) + 360) % 360;
}
}</pre></td></tr>
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