Java tutorial
/* * Licensed to the Ted Dunning under one or more contributor license * agreements. See the NOTICE file that may be * distributed with this work for additional information * regarding copyright ownership. Ted Dunning licenses this file * to you 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. */ package com.mapr.synth.drive; import com.fasterxml.jackson.databind.node.JsonNodeFactory; import com.fasterxml.jackson.databind.node.ObjectNode; import org.apache.commons.math3.geometry.euclidean.threed.Vector3D; import java.util.Random; /** * Created by tdunning on 9/25/15. */ public class GeoPoint { private static final Vector3D X = new Vector3D(1, 0, 0); private static final Vector3D Z = new Vector3D(0, 0, 1); private static JsonNodeFactory nodeFactory = JsonNodeFactory.withExactBigDecimals(false); Vector3D r; public GeoPoint(double latitude, double longitude) { double c = Math.cos(latitude); r = new Vector3D(Math.cos(longitude) * c, Math.sin(longitude) * c, Math.sin(latitude)); } public GeoPoint(Vector3D r) { this.r = r.normalize(); } public Vector3D as3D() { return r; } public double distance(GeoPoint x) { // the dot product could also be used here, but we expect small distances mostly // so the haversine formulation is more accurate return Constants.EARTH_RADIUS_KM * 2 * Math.asin(r.subtract(x.r).getNorm() / 2); } public GeoPoint nearby(double distance, Random rand) { distance = distance / Constants.EARTH_RADIUS_KM; double u = rand.nextGaussian(); double v = rand.nextGaussian(); return project(distance * u, distance * v); } public GeoPoint project(double u, double v) { Vector3D ux = east(); Vector3D vx = north(ux); return new GeoPoint(r.add(ux.scalarMultiply(u).add(vx.scalarMultiply(v))).normalize()); } public Vector3D north(Vector3D ux) { return r.crossProduct(ux).normalize(); } public Vector3D east(Vector3D r) { Vector3D ux = r.crossProduct(Z); if (ux.getNorm() < 1e-4) { // near the poles (i.e. < 640 meters from them), the definition of east is difficult ux = this.r.crossProduct(X); } ux = ux.normalize(); return ux; } public Vector3D east() { return east(r); } public void setPosition(Vector3D position) { this.r = position.normalize(); } public ObjectNode asJson(ObjectNode node) { node.set("latitude", nodeFactory.numberNode(180 / Math.PI * Math.asin(r.getZ()))); node.set("longitude", nodeFactory.numberNode(180 / Math.PI * Math.atan2(r.getY(), r.getX()))); return node; } }