/*
* This file is part of ELKI:
* Environment for Developing KDD-Applications Supported by Index-Structures
*
* Copyright (C) 2017
* ELKI Development Team
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
package de.lmu.ifi.dbs.elki.math.geodesy;
import de.lmu.ifi.dbs.elki.utilities.optionhandling.AbstractParameterizer;
import net.jafama.DoubleWrapper;
import net.jafama.FastMath;
/**
* A simple spherical earth model using radius 6371009 m.
*
* For distance computations, this variant uses the Cosine formula, which is
* faster but less accurate than the Haversince or Vincenty's formula.
*
* @author Erich Schubert
* @since 0.6.0
*/
public class SphericalCosineEarthModel extends AbstractEarthModel {
/**
* Spherical earth model, static instance.
*/
public static final SphericalCosineEarthModel STATIC = new SphericalCosineEarthModel();
/**
* Earth radius approximation in m.
*/
public static final double EARTH_RADIUS = 6371009; // m
/**
* Constructor.
*/
protected SphericalCosineEarthModel() {
super(EARTH_RADIUS, EARTH_RADIUS, 0., Double.POSITIVE_INFINITY);
}
@Override
public double[] latLngRadToECEF(double lat, double lng) {
// Then to sine and cosines:
final DoubleWrapper tmp = new DoubleWrapper(); // To return cosine
final double slat = FastMath.sinAndCos(lat, tmp), clat = tmp.value;
final double slng = FastMath.sinAndCos(lng, tmp), clng = tmp.value;
return new double[] { EARTH_RADIUS * clat * clng, EARTH_RADIUS * clat * slng, EARTH_RADIUS * slat };
}
@Override
public double[] latLngRadToECEF(double lat, double lng, double h) {
// Then to sine and cosines:
final DoubleWrapper tmp = new DoubleWrapper(); // To return cosine
final double slat = FastMath.sinAndCos(lat, tmp), clat = tmp.value;
final double slng = FastMath.sinAndCos(lng, tmp), clng = tmp.value;
return new double[] { (EARTH_RADIUS + h) * clat * clng, (EARTH_RADIUS + h) * clat * slng, (EARTH_RADIUS + h) * slat };
}
@Override
public double ecefToLatRad(double x, double y, double z) {
final double p = FastMath.sqrt(x * x + y * y);
return FastMath.atan2(z, p);
}
@Override
public double distanceRad(double lat1, double lng1, double lat2, double lng2) {
return EARTH_RADIUS * SphereUtil.cosineFormulaRad(lat1, lng1, lat2, lng2);
}
/**
* Parameterization class.
*
* @author Erich Schubert
*
* @apiviz.exclude
*/
public static class Parameterizer extends AbstractParameterizer {
@Override
protected SphericalCosineEarthModel makeInstance() {
return STATIC;
}
}
}