de.schildbach.pte.LocationUtils Maven / Gradle / Ivy

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/*
 * Copyright the original author or authors.
 *
 * This program is free software: you can redistribute it and/or modify
 * it under the terms of the GNU 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 General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program.  If not, see .
 */

package de.schildbach.pte;

import de.schildbach.pte.dto.Point;

/**
 * @author Andreas Schildbach
 */
public final class LocationUtils {
    public static float computeDistance(final Point p1, final Point p2) {
        return computeDistance(p1.getLatAsDouble(), p1.getLonAsDouble(), p2.getLatAsDouble(), p2.getLonAsDouble());
    }

    /**
     * @param lat1
     *            latitude of origin point in decimal degrees
     * @param lon1
     *            longitude of origin point in decimal degrees
     * @param lat2
     *            latitude of destination point in decimal degrees
     * @param lon2
     *            longitude of destination point in decimal degrees
     * 
     * @return distance in meters
     */
    public static float computeDistance(double lat1, double lon1, double lat2, double lon2) {
        // Based on http://www.ngs.noaa.gov/PUBS_LIB/inverse.pdf
        // using the "Inverse Formula" (section 4)

        final int MAXITERS = 20;
        // Convert lat/long to radians
        lat1 *= Math.PI / 180.0;
        lat2 *= Math.PI / 180.0;
        lon1 *= Math.PI / 180.0;
        lon2 *= Math.PI / 180.0;

        final double a = 6378137.0; // WGS84 major axis
        final double b = 6356752.3142; // WGS84 semi-major axis
        final double f = (a - b) / a;
        final double aSqMinusBSqOverBSq = (a * a - b * b) / (b * b);

        final double L = lon2 - lon1;
        double A = 0.0;
        final double U1 = Math.atan((1.0 - f) * Math.tan(lat1));
        final double U2 = Math.atan((1.0 - f) * Math.tan(lat2));

        final double cosU1 = Math.cos(U1);
        final double cosU2 = Math.cos(U2);
        final double sinU1 = Math.sin(U1);
        final double sinU2 = Math.sin(U2);
        final double cosU1cosU2 = cosU1 * cosU2;
        final double sinU1sinU2 = sinU1 * sinU2;

        double sigma = 0.0;
        double deltaSigma = 0.0;
        double cosSqAlpha = 0.0;
        double cos2SM = 0.0;
        double cosSigma = 0.0;
        double sinSigma = 0.0;
        double cosLambda = 0.0;
        double sinLambda = 0.0;

        double lambda = L; // initial guess
        for (int iter = 0; iter < MAXITERS; iter++) {
            final double lambdaOrig = lambda;
            cosLambda = Math.cos(lambda);
            sinLambda = Math.sin(lambda);
            final double t1 = cosU2 * sinLambda;
            final double t2 = cosU1 * sinU2 - sinU1 * cosU2 * cosLambda;
            final double sinSqSigma = t1 * t1 + t2 * t2; // (14)
            sinSigma = Math.sqrt(sinSqSigma);
            cosSigma = sinU1sinU2 + cosU1cosU2 * cosLambda; // (15)
            sigma = Math.atan2(sinSigma, cosSigma); // (16)
            final double sinAlpha = (sinSigma == 0) ? 0.0 : cosU1cosU2 * sinLambda / sinSigma; // (17)
            cosSqAlpha = 1.0 - sinAlpha * sinAlpha;
            cos2SM = (cosSqAlpha == 0) ? 0.0 : cosSigma - 2.0 * sinU1sinU2 / cosSqAlpha; // (18)

            final double uSquared = cosSqAlpha * aSqMinusBSqOverBSq; // defn
            A = 1 + (uSquared / 16384.0) * // (3)
                    (4096.0 + uSquared * (-768 + uSquared * (320.0 - 175.0 * uSquared)));
            final double B = (uSquared / 1024.0) * // (4)
                    (256.0 + uSquared * (-128.0 + uSquared * (74.0 - 47.0 * uSquared)));
            final double C = (f / 16.0) * cosSqAlpha * (4.0 + f * (4.0 - 3.0 * cosSqAlpha)); // (10)
            final double cos2SMSq = cos2SM * cos2SM;
            deltaSigma = B * sinSigma * // (6)
                    (cos2SM + (B / 4.0) * (cosSigma * (-1.0 + 2.0 * cos2SMSq)
                            - (B / 6.0) * cos2SM * (-3.0 + 4.0 * sinSigma * sinSigma) * (-3.0 + 4.0 * cos2SMSq)));

            lambda = L + (1.0 - C) * f * sinAlpha
                    * (sigma + C * sinSigma * (cos2SM + C * cosSigma * (-1.0 + 2.0 * cos2SM * cos2SM))); // (11)

            final double delta = (lambda - lambdaOrig) / lambda;

            if (Math.abs(delta) < 1.0e-12)
                break;
        }

        return (float) (b * A * (sigma - deltaSigma));
    }
}