Package ucar.nc2.dataset.conv

Source Code of ucar.nc2.dataset.conv.Cosmic1Convention

/*
* Copyright (c) 1998 - 2009. University Corporation for Atmospheric Research/Unidata
* Portions of this software were developed by the Unidata Program at the
* University Corporation for Atmospheric Research.
*
* Access and use of this software shall impose the following obligations
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* any fee or cost, to use, copy, modify, alter, enhance and distribute
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package ucar.nc2.dataset.conv;


import ucar.ma2.*;

import ucar.nc2.Attribute;
import ucar.nc2.Dimension;

import ucar.nc2.NetcdfFile;
import ucar.nc2.Variable;
import ucar.nc2.constants.AxisType;
import ucar.nc2.constants._Coordinate;
import ucar.nc2.dataset.*;
import ucar.nc2.util.CancelTask;

import ucar.unidata.util.DateUtil;
import visad.DateTime;

import java.io.IOException;

import java.util.Calendar;
import java.util.GregorianCalendar;


/**
* Cosmic data - version 1.
* Add time coordinate from global atts start_time, stop_time, assuming its linear along the vertical dimension.
*
* @author caron
* @since Jul 29, 2009
*/
public class Cosmic1Convention extends CoordSysBuilder {

    /**
     * @param ncfile the NetcdfFile to test
     * @return true if we think this is a Zebra file.
     */
    public static boolean isMine(NetcdfFile ncfile) {

        //   :start_time = 9.17028312E8; // double
        // :stop_time = 9.170284104681826E8; // double

        if ((null == ncfile.findDimension("MSL_alt"))
                && (null == ncfile.findDimension("time"))) {
            return false;
        }
        // if (null == ncfile.findGlobalAttribute( "start_time")) return false;
        // if (null == ncfile.findGlobalAttribute( "stop_time")) return false;

        String center = ncfile.findAttValueIgnoreCase(null, "center", null);
        return (center != null) && center.equals("UCAR/CDAAC");
    }

    /**
     * _more_
     */
    public Cosmic1Convention() {
        this.conventionName = "Cosmic1";
    }

    /**
     * _more_
     *
     * @param ds _more_
     * @param cancelTask _more_
     *
     * @throws IOException _more_
     */
    public void augmentDataset(NetcdfDataset ds,
                               CancelTask cancelTask) throws IOException {

        Attribute leoAtt = ds.findGlobalAttribute("leoId");

        if (leoAtt == null) {
            if (ds.findVariable("time") == null) {
                // create a time variable - assume its linear along the vertical dimension
                double start = ds.readAttributeDouble(null, "start_time",
                                   Double.NaN);
                double stop = ds.readAttributeDouble(null, "stop_time",
                                  Double.NaN);

                if (Double.isNaN(start) && Double.isNaN(stop)) {
                    double top = ds.readAttributeDouble(null, "toptime",
                                     Double.NaN);
                    double bot = ds.readAttributeDouble(null, "bottime",
                                     Double.NaN);

                    this.conventionName = "Cosmic2";
                    if (top > bot) {
                        stop  = top;
                        start = bot;
                    } else {
                        stop  = bot;
                        start = top;
                    }

                }

                Dimension dim       = ds.findDimension("MSL_alt");
                Variable  dimV      = ds.findVariable("MSL_alt");
                Array     dimU      = dimV.read();
                int       inscr = (dimU.getFloat(1) - dimU.getFloat(0)) > 0
                                  ? 1
                                  : 0;
                int       n         = dim.getLength();
                double    incr      = (stop - start) / n;

                String    timeUnits = "seconds since 1980-01-06 00:00:00";
                Variable timeVar = new VariableDS(ds, null, null, "time",
                                       DataType.DOUBLE, dim.getName(),
                                       timeUnits, null);
                ds.addVariable(null, timeVar);
                timeVar.addAttribute(new Attribute("units", timeUnits));
                timeVar.addAttribute(new Attribute(_Coordinate.AxisType,
                        AxisType.Time.toString()));
                int dir = ds.readAttributeInteger(null, "irs", 1);
                ArrayDouble.D1 data =
                    (ArrayDouble.D1) Array.factory(DataType.DOUBLE,
                        new int[] { n });
                if (inscr == 0) {
                    if (dir == 1) {
                        for (int i = 0; i < n; i++) {
                            data.set(i, start + i * incr);
                        }
                    } else {
                        for (int i = 0; i < n; i++) {
                            data.set(i, stop - i * incr);
                        }
                    }
                } else {
                    for (int i = 0; i < n; i++) {
                        data.set(i, stop - i * incr);
                    }
                }
                timeVar.setCachedData(data, false);
            }

            Variable v = ds.findVariable("Lat");
            if (v == null) {
                v = ds.findVariable("GEO_lat");
            }
            v.addAttribute(new Attribute(_Coordinate.AxisType,
                                         AxisType.Lat.toString()));
            Variable v1 = ds.findVariable("Lon");
            if (v1 == null) {
                v1 = ds.findVariable("GEO_lon");
            }
            v1.addAttribute(new Attribute(_Coordinate.AxisType,
                                          AxisType.Lon.toString()));
        } else {
            Dimension dim = ds.findDimension("time");
            int       n   = dim.getLength();
            Variable latVar = new VariableDS(ds, null, null, "Lat",
                                             DataType.FLOAT, dim.getName(),
                                             "degree", null);
            latVar.addAttribute(new Attribute(_Coordinate.AxisType,
                    AxisType.Lat.toString()));
            ds.addVariable(null, latVar);
            Variable lonVar = new VariableDS(ds, null, null, "Lon",
                                             DataType.FLOAT, dim.getName(),
                                             "degree", null);
            lonVar.addAttribute(new Attribute(_Coordinate.AxisType,
                    AxisType.Lon.toString()));
            ds.addVariable(null, lonVar);
            Variable altVar = new VariableDS(ds, null, null, "MSL_alt",
                                             DataType.FLOAT, dim.getName(),
                                             "meter", null);
            altVar.addAttribute(new Attribute(_Coordinate.AxisType,
                    AxisType.Height.toString()));
            ds.addVariable(null, altVar);

            // cal data array
            ArrayFloat.D1 latData =
                (ArrayFloat.D1) Array.factory(DataType.FLOAT,
                    new int[] { n });
            ArrayFloat.D1 lonData =
                (ArrayFloat.D1) Array.factory(DataType.FLOAT,
                    new int[] { n });
            ArrayFloat.D1 altData =
                (ArrayFloat.D1) Array.factory(DataType.FLOAT,
                    new int[] { n });
            ArrayDouble.D1 timeData =
                (ArrayDouble.D1) Array.factory(DataType.DOUBLE,
                    new int[] { n });
            this.conventionName = "Cosmic3";

            int iyr  = ds.readAttributeInteger(null, "year", 2009);
            int mon  = ds.readAttributeInteger(null, "month", 0);
            int iday = ds.readAttributeInteger(null, "day", 0);
            int ihr  = ds.readAttributeInteger(null, "hour", 0);
            int min  = ds.readAttributeInteger(null, "minute", 0);
            int sec  = ds.readAttributeInteger(null, "second", 0);

            double start = ds.readAttributeDouble(null, "startTime",
                               Double.NaN);
            double stop = ds.readAttributeDouble(null, "stopTime",
                              Double.NaN);
            double incr = (stop - start) / n;
            int    t    = 0;
            // double julian = juday(mon, iday, iyr);
            // cal the dtheta based pm attributes
            double   dtheta = gast(iyr, mon, iday, ihr, min, sec, t);

            Variable tVar   = ds.findVariable("time");
            String timeUnits = "seconds since 1980-01-06 00:00:00"//dtime.getUnit().toString();
            tVar.removeAttributeIgnoreCase("valid_range");
            tVar.removeAttributeIgnoreCase("units");
            tVar.addAttribute(new Attribute("units", timeUnits));
            tVar.addAttribute(new Attribute(_Coordinate.AxisType,
                                            AxisType.Time.toString()));

            Variable v    = ds.findVariable("xLeo");
            Array    xLeo = v.read();
            v = ds.findVariable("yLeo");
            Array yLeo = v.read();
            v = ds.findVariable("zLeo");
            Array         zLeo   = v.read();
            Array         tArray = tVar.read();
            double        pi     = 3.1415926;
            double        a      = 6378.1370;
            double        b      = 6356.7523142;
            IndexIterator iiter0 = xLeo.getIndexIterator();
            IndexIterator iiter1 = yLeo.getIndexIterator();
            IndexIterator iiter2 = zLeo.getIndexIterator();
            int           i      = 0;

            while (iiter0.hasNext()) {

                double[] v_inertial = new double[3];
                v_inertial[0] = iiter0.getDoubleNext()//.getDouble(i); //.nextDouble();
                v_inertial[1] = iiter1.getDoubleNext()//.getDouble(i); //.nextDouble();
                v_inertial[2] = iiter2.getDoubleNext()//.getDouble(i); //.nextDouble();
                double[] uvz = new double[3];
                uvz[0] = 0.0;
                uvz[1] = 0.0;
                uvz[2] = 1.0;
                // v_ecef should be in the (approximate) ECEF frame

                // double[] v_ecf = execute(v_inertial, julian);
                double[] v_ecf = spin(v_inertial, uvz, -1 * dtheta);

                // cal lat/lon here
                // double [] llh = ECFtoLLA(v_ecf[0]*1000, v_ecf[1]*1000, v_ecf[2]*1000, a,  b);
                double[] llh = xyzell(a, b, v_ecf);
                double   llt = tArray.getDouble(i);
                latData.set(i, (float) llh[0]);
                lonData.set(i, (float) llh[1]);
                altData.set(i, (float) llh[2]);
                timeData.set(i, start + i * incr);
                i++;
            }

            latVar.setCachedData(latData, false);
            lonVar.setCachedData(lonData, false);
            altVar.setCachedData(altData, false);
            tVar.setCachedData(timeData, false);
        }
        ds.finish();

    }

    /**
     * _more_
     *
     * @param year _more_
     * @param month _more_
     * @param day _more_
     * @param hour _more_
     * @param min _more_
     * @param sec _more_
     *
     * @return _more_
     *
     * @throws Exception _more_
     */
    private DateTime getDateTime(int year, int month, int day, int hour,
                                 int min, int sec) throws Exception {
        GregorianCalendar convertCal =
            new GregorianCalendar(DateUtil.TIMEZONE_GMT);
        convertCal.clear();
        convertCal.set(Calendar.YEAR, year);
        //The MONTH is 0 based. The incoming month is 1 based
        convertCal.set(Calendar.MONTH, month - 1);
        convertCal.set(Calendar.DAY_OF_MONTH, day);
        convertCal.set(Calendar.HOUR_OF_DAY, hour);
        convertCal.set(Calendar.MINUTE, min);
        convertCal.set(Calendar.SECOND, sec);
        return new DateTime(convertCal.getTime());
    }

    /**
     * _more_
     *
     * @param ncDataset _more_
     * @param v _more_
     *
     * @return _more_
     */
    protected AxisType getAxisType(NetcdfDataset ncDataset,
                                   VariableEnhanced v) {
        String name = v.getShortName();
        if (name.equals("time")) {
            return AxisType.Time;
        }
        if (name.equals("Lat") || name.equals("GEO_lat")) {
            return AxisType.Lat;
        }
        if (name.equals("Lon") || name.equals("GEO_lon")) {
            return AxisType.Lon;
        }
        // if (name.equals("xLeo") ) return AxisType.GeoX;
        // if (name.equals("yLeo") ) return AxisType.GeoY;
        if (name.equals("MSL_alt")) {
            return AxisType.Height;
        }
        return null;
    }

    /**
     *
     *  NAME       :  XYZELL
     *
     *     CALL XYZELL(A,B,XSTAT,XSTELL)
     *
     *  PURPOSE    :  COMPUTATION OF ELLIPSOIDAL COORDINATES "XSTELL"
     *                GIVEN THE CARTESIAN COORDINATES "XSTAT"
     *
     *  PARAMETERS :
     *          IN :  A   : SEMI-MAJOR AXIS OF THE REFERENCE    R*8
     *                         ELLIPSOID IN METERS
     *                B   : SEMI-MINOR AXIS OF THE REFERENCE    R*8
     *                         ELLIPSOID IN METERS
     *                DXELL(3): TRANSLATION COMPONENTS FROM THE    R*8
     *                         ORIGIN OF THE CART. COORD. SYSTEM
     *                         (X,Y,Z) TO THE CENTER OF THE REF.
     *                         ELLIPSOID (IN METRES)
     *                SCELL  : SCALE FACTOR BETWEEN REF. ELLIPSOID R*8
     *                         AND WGS-84
     *                XSTAT(3): CARTESIAN COORDINATES (M)          R*8
     *         OUT :  XSTELL(3): ELLIPSOIDAL COORDINATES           R*8
     *                         XSTELL(1): ELL. LATITUDE (RADIAN)
     *                         XSTELL(2): ELL. LONGITUDE (RADIAN)
     *                         XSTELL(3): ELL. HEIGHT (M)
     *
     *  SR CALLED  :  DMLMTV
     *
     *  REMARKS    :  ---
     *
     *  AUTHOR     :  M. ROTHACHER
     *
     *  VERSION    :  3.4  (JAN 93)
     *
     *  CREATED    :  87/11/03 12:32        LAST MODIFIED :  88/11/21 17:36
     *
     *  COPYRIGHT  :  ASTRONOMICAL INSTITUTE
     *       1987      UNIVERSITY OF BERNE
     *                     SWITZERLAND
     *
     * @param a _more_
     * @param b _more_
     * @param xstat _more_
     *
     * @return _more_
     */
    public double[] xyzell(double a, double b, double[] xstat) {


        double[] dxell  = new double[3];
        double[] xstell = new double[3];
        double   scell;
        double[] xp = new double[3];
        double   e2, s, rlam, zps, h, phi, n, hp, phip;
        int      i, niter;

        e2   = (a * a - b * b) / (a * a);
        s    = Math.sqrt(xstat[0] * xstat[0] + xstat[1] * xstat[1]);
        rlam = Math.atan2(xstat[1], xstat[0]);
        zps  = xstat[2] / s;
        h = Math.sqrt(xstat[0] * xstat[0] + xstat[1] * xstat[1]
                      + xstat[2] * xstat[2]) - a;
        phi   = Math.atan(zps / (1.0 - e2 * a / (a + h)));

        niter = 0;
        for (i = 1; i <= 10000000; i++) {
            n     = a / Math.sqrt(1.0 - e2 * Math.sin(phi) * Math.sin(phi));
            hp    = h;
            phip  = phi;
            h     = s / Math.cos(phi) - n;
            phi   = Math.atan(zps / (1.0 - e2 * n / (n + h)));
            niter = niter + 1;
            if ((Math.abs(phip - phi) <= 1.e-11)
                    && (Math.abs(hp - h) <= 1.e-5)) {
                break;
            }
            if (niter >= 10) {
                phi  = -999.0;
                rlam = -999.0;
                h    = -999.0;
                break;
            }

        }

        xstell[0] = phi * 180 / 3.1415926;
        xstell[1] = rlam * 180 / 3.1415926;
        xstell[2] = h;

        return xstell;

    }


    /**
     *    gast.f
     *     Compute hour angle dtheta
     *
     *     ! iyr, mon, iday, ihr, min and sec form a base (epoch) time,
     *     ! t is an offset from the base time in seconds
     *     ! dtheta is the output hour angle in radians
     *
     * Calculation of local time
     *
     * ! glon -- East longitude in degrees, -180 to 180
     *
     *
     *      call vprod.f   spin.f   rnorm.f
     * Calculation of the unit vector normal to the occultation plane
     * (clockwise rotated from GPS to LEO)
     *
     * @param iyr _more_
     * @param imon _more_
     * @param iday _more_
     * @param ihr _more_
     * @param imin _more_
     * @param sec _more_
     * @param dsec _more_
     *
     * @return _more_
     */
    /*
         double dtheta = gast(iyr,mon,iday,ihr,min,sec,t)
         utc=ihr*1.d0+min/60.d0
         timloc=utc+24.d0*glon/360.d0
         if (timloc.gt.24.d0) timloc=timloc-24.d0
         if (timloc.lt.0.d0) timloc=timloc+24.d0
     */

    // In the inertial reference frame
    /*
     v_inertial(1)= ! Inertial GPS position vectors, XYZ
     v_inertial(2)=
     v_inertial(3)=
    */
    // In the Earth-fixed reference frame

    //  Z axis to rotate around (unit vector Z)
    /*
       uvz(1)=0.0;
       uvz(2)=0.0;
       uvz(3)=1.0;

       double [] v_ecf = spin(v_inertial,uvz,-180.d0*dtheta/pi)
   */
    // after this call, v_ecef should be in the (approximate) ECEF frame



    /**
     * ----------------------------------------------------------------------
     *  gast.f
     *
     * This subroutine computes the Greenwich Apparent Siderial
     * Time angle given a UTC date and time.
     *
     * parameter  Input parameters:
     * Inputs:
     * @param  iyr integer year 1995
     * @param  imon integer month 5
     * @param  iday integer day 5
     * @param  ihr integer hour 5
     * @param  imin integer minute 5
     * @param  sec double second 31.0
     * @param  dsec double second 0.0
     * Outputs:
     * @return theta GAST angle in radians
     *
     * author     Bill Schreiner
     * @since      May 1995
     * version    $URL: svn://ursa.cosmic.ucar.edu/trunk/src/roam/gast.f $ $Id: gast.f 10129 2008-07-30 17:10:52Z dhunt $
     * -----------------------------------------------------------------------
     */

    public double gast(int iyr, int imon, int iday, int ihr, int imin,
                       double sec, double dsec) {
        //
        //    implicit double precision (a-h,o-z)
        //    character(len=*), parameter :: header = '$URL: svn://ursa.cosmic.ucar.edu/trunk/src/roam/gast.f $ $Id: gast.f 10129 2008-07-30 17:10:52Z dhunt $'
        //
        // Coordinate transform from the celestial inertial reference frame to the geo-
        // centered Greenwich reference frame.
        // Call a subroutine to calculate the Julian day "djd":
        double djd = juday(imon, iday, iyr)//djd=julean day.
        double tu  = (djd - 2451545.0) / 36525.0;
        double gmst = 24110.548410 + 8640184.8128660 * tu
                      + 0.093104 * tu * tu - 6.2E-6 * Math.pow(tu, 3)//       !gmst=Greenwich mean...
        double utco  = (ihr * 3600) + (imin * 60) + sec;
        double theta = togreenw(dsec, utco, gmst);

        return theta;
    }

    /**
     *
     * JDAY calculates the Julian Day number (JD) from the Gregorian month
     * ,day, and year (M,D,Y). (NOT VALID BEFORE 10/15/1582)
     *
     * @param M _more_
     * @param D _more_
     * @param Y _more_
     *
     * @return _more_
     */
    public double juday(int M, int D, int Y) {
        double JD;

        double IY = Y - (12 - M) / 10;
        double IM = M + 1 + 12 * ((12 - M) / 10);
        double I  = IY / 100;
        double J = 2 - I + I / 4 + Math.round(365.25 * IY)
                   + Math.round(30.6001 * IM);
        JD = (J + D + 1720994.50);
        return JD;
    }

    /**
     * This subroutine is to transform the locations and velocities of the GPS and
     * LEO satellites from the celestial inertial reference frame to the Earth
     * centered Greenwich reference frame.
     * The dummy arguments iyear, month and iday are the calender year, month and
     * day of the occultation event.  The dummy arguments ihour, minute and sec
     * are the UTC time.
     * Reference: Astronomical Alamanus, 1993
     *
     * Modified subroutine from Dasheng's code.
     *
     * @param rectt _more_
     * @param utco _more_
     * @param gmst _more_
     *
     * @return _more_
     */
    public double togreenw(double rectt, double utco, double gmst) {

        double pi = Math.acos(-1.00);
        //
        // For each occultation ID, its TU and GMST are the same.  However, every
        // occultation event takes place at gmst+uts, uts is progressively increasing
        // with every occultation event.
        double utc = (utco + rectt) * 1.0027379093;
        gmst = gmst + utc;  //in seconds, without eoe correction.
        //  gmst may be a positive number or may be a negative number.
        while (gmst < 0.0) {
            gmst = gmst + 86400.00;
        }


        while (gmst > 86400.00) {
            gmst = gmst - 86400.00;
        }

        // gmst = the Greenwich mean sidereal time.
        // This gmst is without the corrections from the equation of equinoxes.  For
        // GPS/MET applications, the corrections from equation of equinoxes is not
        // necessary because of the accurary needed.
        double theta = gmst * 2.0 * pi / 86400.0//!*** This is the THETA in radian.
        //
        return theta;
    }


    /**
     * ----------------------------------------------------------------------
     * file       spin.f
     *
     * This subroutine rotates vector V1 around vector VS
     * at angle A. V2 is the vector after the rotation.
     *
     *
     * parameter  Input parameters:
     *  v1   - Vector to be rotated
     *  vs   - Vector around which to rotate v1
     *  a    - angle of rotation
     *  Output parameters:
     *  v2   - output vector
     *
     * S.V.Sokolovskiy
     * URL: svn://ursa.cosmic.ucar.edu/trunk/src/roam/spin.f $ $Id: spin.f 10129 2008-07-30 17:10:52Z dhunt $
     * -----------------------------------------------------------------------
     *
     * @param v1 - Vector to be rotated
     * @param vs - Vector around which to rotate v1
     * @param a - angle of rotation
     *
     * @return _more_
     */

    public double[] spin(double[] v1, double[] vs, double a) {

        //     implicit real*8(a-h,o-z)
        //     dimension v1(3),vs(3),vsn(3),v2(3),v3(3),s(3,3)
        //     Calculation of the unit vector around which
        //     the rotation should be done.
        double[] v2  = new double[3];
        double[] vsn = new double[3];
        double[] v3  = new double[3];

        double vsabs = Math.sqrt(vs[0] * vs[0] + vs[1] * vs[1]
                                 + vs[2] * vs[2]);

        for (int i = 0; i < 3; i++) {
            vsn[i] = vs[i] / vsabs;
        }

        // Calculation of the rotation matrix.

        double     a1 = Math.cos(a);
        double     a2 = 1.0 - a1;
        double     a3 = Math.sin(a);
        double[][] s  = new double[3][3];

        s[0][0] = a2 * vsn[0] * vsn[0] + a1;
        s[0][1] = a2 * vsn[0] * vsn[1] - a3 * vsn[2];
        s[0][2] = a2 * vsn[0] * vsn[2] + a3 * vsn[1];
        s[1][0] = a2 * vsn[1] * vsn[0] + a3 * vsn[2];
        s[1][1] = a2 * vsn[1] * vsn[1] + a1;
        s[1][2] = a2 * vsn[1] * vsn[2] - a3 * vsn[0];
        s[2][0] = a2 * vsn[2] * vsn[0] - a3 * vsn[1];
        s[2][1] = a2 * vsn[2] * vsn[1] + a3 * vsn[0];
        s[2][2] = a2 * vsn[2] * vsn[2] + a1;

        // Calculation of the rotated vector.

        for (int i = 0; i < 3; i++) {
            v3[i] = s[i][0] * v1[0] + s[i][1] * v1[1] + s[i][2] * v1[2];
        }

        for (int i = 0; i < 3; i++) {
            v2[i] = v3[i];
        }

        return v2;

    }

    /** _more_          */
    protected final static double RTD = 180. / Math.PI;

    /** _more_          */
    protected final static double DTR = Math.PI / 180.;

    /**
     * _more_
     *
     * @param eci _more_
     * @param julian _more_
     *
     * @return _more_
     */
    public double[] execute(double[] eci, double julian) {
        double   Xi = eci[0];
        double   Yi = eci[1];
        double   Zi = eci[2];

        double   c, s;
        double   GHA;

        double[] ecef = new double[3];
        //Compute GHAD
        /* System generated locals */
        double d__1, d__2, d__3;

        /* Local variables */
        double tsec, tday, gmst, t, omega, tfrac, tu, dat;

        /*     INPUT IS TIME "secondsSince1970" IN SECONDS AND "TDAY" */
        /*     WHICH IS WHOLE DAYS FROM 1970 JAN 1 0H */
        /*     THE OUTPUT IS GREENWICH HOUR ANGLE IN DEGREES */
        /*     XOMEGA IS ROTATION RATE IN DEGREES/SEC */

        /*     FOR COMPATABILITY */

        tday = (double) ((int) (julian / 86400.));
        tsec = julian - tday * 86400;

        /*     THE NUMBER OF DAYS FROM THE J2000 EPOCH */
        /*     TO 1970 JAN 1 0H UT1 IS -10957.5 */
        t     = tday - (float) 10957.5;
        tfrac = tsec / 86400.;
        dat   = t;
        tu    = dat / 36525.;

        /* Computing 2nd power */
        d__1 = tu;

        /* Computing 3rd power */
        d__2 = tu;
        d__3 = d__2;
        gmst = tu * 8640184.812866 + 24110.54841 + d__1 * d__1 * .093104
               - d__3 * (d__2 * d__2) * 6.2e-6;

        /*     COMPUTE THE EARTH'S ROTATION RATE */
        /* Computing 2nd power */
        d__1  = tu;
        omega = tu * 5.098097e-6 + 86636.55536790872 - d__1 * d__1 * 5.09e-10;

        /*     COMPUTE THE GMST AND GHA */
        //  da is earth nutation - currently unused
        double da = 0.0;
        gmst = gmst + omega * tfrac + da * RTD * 86400. / 360.;
        gmst = gmst % 86400;
        if (gmst < 0.) {
            gmst += 86400.;
        }
        gmst = gmst / 86400. * 360.;
        //ghan = gmst;
        //  returns gha in radians
        gmst = gmst * DTR;
        GHA  = gmst;

        //RotateZ
        c = Math.cos(GHA);
        s = Math.sin(GHA);
        double X = c * Xi + s * Yi;
        double Y = -s * Xi + c * Yi;

        //Set outputs
        ecef[0] = X;
        ecef[1] = Y;
        ecef[2] = Zi;

        return ecef;
    }

    /**
     * comparing api to others
     *
     * @param x _more_
     * @param y _more_
     * @param z _more_
     * @param a _more_
     * @param b _more_
     *
     * @return _more_
     */
    public static double[] ECFtoLLA(double x, double y, double z,
                                          double a, double b) {

        double longitude     = Math.atan2(y, x);
        double ePrimeSquared = (a * a - b * b) / (b * b);
        double p             = Math.sqrt(x * x + y * y);
        double theta         = Math.atan((z * a) / (p * b));
        double sineTheta     = Math.sin(theta);
        double cosTheta      = Math.cos(theta);
        double f             = 1 / 298.257223563;
        double e2            = 2 * f - f * f;
        double top = z + ePrimeSquared * b * sineTheta * sineTheta
                     * sineTheta;
        double bottom      = p - e2 * a * cosTheta * cosTheta * cosTheta;
        double geodeticLat = Math.atan(top / bottom);
        double sineLat     = Math.sin(geodeticLat);
        double N           = a / Math.sqrt(1 - e2 * sineLat * sineLat);
        double altitude    = (p / Math.cos(geodeticLat)) - N;

        // maintain longitude btw -PI and PI
        if (longitude > Math.PI) {
            longitude -= 2 * Math.PI;

        } else if (longitude < -Math.PI) {
            longitude += 2 * Math.PI;
        }

        return new double[] { geodeticLat, longitude, altitude };
    }





}

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