FramesFactory.java

/* Copyright 2002-2013 CS Systèmes d'Information
 * Licensed to CS Systèmes d'Information (CS) under one or more
 * contributor license agreements.  See the NOTICE file distributed with
 * this work for additional information regarding copyright ownership.
 * CS 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 org.orekit.frames;

import java.util.ArrayList;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.SortedSet;
import java.util.TreeSet;

import org.orekit.bodies.CelestialBodyFactory;
import org.orekit.errors.OrekitException;
import org.orekit.time.AbsoluteDate;
import org.orekit.time.ChronologicalComparator;
import org.orekit.utils.Constants;
import org.orekit.utils.IERSConventions;
import org.orekit.utils.OrekitConfiguration;


/** Factory for predefined reference frames.
 *
 * <h5> FramesFactory Presentation </h5>
 * <p>
 * Several predefined reference {@link Frame frames} are implemented in OREKIT.
 * They are linked together in a tree with the <i>Geocentric
 * Celestial Reference Frame</i> (GCRF) as the root of the tree.
 * This factory is designed to:
 * </p>
 * <ul>
 *   <li>build the frames tree consistently,</li>
 *   <li>avoid rebuilding some frames that may be costly to recreate all the time,</li>
 *   <li>set up interpolation/caching features for some frames that may induce costly computation</li>
 *   <li>streamline the {@link EOPHistory Earth Orientation Parameters} history loading.</li>
 * </ul>
 * <h5> Reference Frames </h5>
 * <p>
 * The user can retrieve those reference frames using various static methods, the most
 * important ones being: {@link #getFrame(Predefined)}, {@link #getGCRF()},
 * {@link #getCIRF(IERSConventions, boolean)} {@link #getTIRF(IERSConventions, boolean)},
 * {@link #getITRF(IERSConventions, boolean)}, {@link #getEME2000()},
 * {@link #getMOD(IERSConventions)}, {@link #getTOD(IERSConventions)},
 * {@link #getGTOD(IERSConventions)}, {@link #getITRFEquinox(IERSConventions, boolean)},
 * {@link #getTEME()} and {@link #getVeis1950()}.
 * </p>
 * <h5> International Terrestrial Reference Frame</h5>
 * <p>
 * This frame is the current (as of 2013) reference realization of
 * the International Terrestrial Reference System produced by IERS.
 * It is described in <a href="ftp://tai.bipm.org/iers/conv2010/tn36.pdf">
 * IERS conventions (2010)</a>. It replaces the Earth Centered Earth Fixed
 * frame which is the reference frame for GPS satellites.
 * </p>
 * <p>
 * This frame is used to define position on solid Earth. It rotates with
 * the Earth and includes the pole motion with respect to Earth crust as
 * provided by {@link org.orekit.data.DataProvidersManager IERS data}.
 * Its pole axis is the IERS Reference Pole (IRP).
 * </p>
 * <p>
 * Previous realizations of the ITRS are available and linked together using
 * {@link HelmertTransformation Helmert transformations}. Parameters for all
 * ITRS realizations since 1988 are available from the ITRF site <a
 * href="ftp://itrf.ensg.ign.fr/pub/itrf/ITRF.TP"> ftp://itrf.ensg.ign.fr/pub/itrf/ITRF.TP</a>).
 * Orekit provides a {@link HelmertTransformation.Predefined#createTransformedITRF(Frame,
 * String) utility} method to build simply several of them and link them together.
 * </p>
 * <p>
 * ITRF can be built using the new non-rotating origin paradigm
 * mandated by IAU 2000 resolution B1.8 and any supported {@link IERSConventions
 * IERS conventions} (even IERS 1996 can be used with non-rotating origin paradigm,
 * despite the resolution was not yet adopted at conventions publication time.
 * </p>
 * <p>
 * ITRF can also be built using the classical equinox paradigm used prior to IAU 2000
 * resolution B1.8 and any supported {@link IERSConventions IERS conventions} (even
 * IERS 2003 and 2010 can be used with equinox paradigm, despite the resolution is
 * in effect now). The choice of paradigm (non-rotating origin or equinox) and the
 * choice of IERS conventions (i.e. the choice of precession/nutation models) can
 * be made independently by user, Orekit provides all alternatives.
 * </p>
 * <h5>Intermediate frames</h5>
 * <p>
 * Orekit also provides all the intermediate frames that are needed to transform
 * between GCRF and ITRF, along the two paths: ITRF/TIRF/CIRF/GCRF for the
 * non-rotating origin paradigm and ITRF/GTOD/TOD/MOD/EME2000/GCRF for the equinox
 * paradigm.
 * </p>
 * <h5> Earth Orientation Parameters </h5>
 * <p>
 * This factory also handles loading of Earth Orientation Parameters (EOP) needed
 * for accurate transformations between inertial and Earth fixed frames, using
 * {@link org.orekit.data.DataProvidersManager} features. EOP are IERS conventions
 * dependent, because they correspond to correction to the precession/nutation
 * models. When EOP should be applied, but EOP data are not available, then a null
 * (0.0) correction is used. This can occur when no EOP data is loaded, or when the
 * requested date is beyond the time span of the loaded EOP data. Using a null
 * correction can result in coarse accuracy. To check the time span covered by EOP data use
 * {@link #getEOPHistory(IERSConventions, boolean)}, {@link EOPHistory#getStartDate()},
 * and {@link EOPHistory#getEndDate()}.
 * <p>
 * For more on configuring the EOP data Orekit uses see
 * <a href="https://www.orekit.org/forge/projects/orekit/wiki/Configuration">
 * https://www.orekit.org/forge/projects/orekit/wiki/Configuration</a>.
 * <p>
 * Here is a schematic representation of the predefined reference frames tree:
 * </p>
 * <pre>
 *                                                                  GCRF
 *                                                                    |
 *                                                 |-----------------------------------------------
 *                                                 |                         |     Frame bias     |
 *                                                 |                         |                 EME2000
 *                                                 |                         |                    |
 *                                                 |                         | Precession effects |
 *                                                 |                         |                    |
 *           Bias, Precession and Nutation effects |                        MOD                  MOD  (Mean Equator Of Date)
 *                                                 |                         |             w/o EOP corrections
 *                                                 |                         |  Nutation effects  |
 *    (Celestial Intermediate Reference Frame)   CIRF                        |                    |
 *                                                 |                        TOD                  TOD  (True Equator Of Date)
 *                          Earth natural rotation |                         |             w/o EOP corrections
 *                                                 |-------------            |    Sidereal Time   |
 *                                                 |            |            |                    |
 *  (Terrestrial Intermediate Reference Frame)   TIRF         TIRF         GTOD                 GTOD  (Greenwich True Of Date)
 *                                                 |    w/o tidal effects                  w/o EOP corrections
 *                                     Pole motion |            |                                 |
 *                                                 |            |                                 |-------------
 *                                                 |            |                                 |            |
 * (International Terrestrial Reference Frame)   ITRF         ITRF                              ITRF        VEIS1950
 *                                                 |    w/o tidal effects                   equinox-based
 *                                                 |            |
 *                                           other ITRF     other ITRF
 *                                                      w/o tidal effects
 * </pre>
 * <p>
 * This is a utility class, so its constructor is private.
 * </p>
 * @author Guylaine Prat
 * @author Luc Maisonobe
 * @author Pascal Parraud
 */
public class FramesFactory {

    /** Default regular expression for the Rapid Data and Prediction EOP columns files (IAU1980 compatibles). */
    public static final String RAPID_DATA_PREDICTION_COLUMNS_1980_FILENAME = "^finals\\.[^.]*$";

    /** Default regular expression for the Rapid Data and Prediction EOP XML files (IAU1980 compatibles). */
    public static final String RAPID_DATA_PREDICTION_XML_1980_FILENAME = "^finals\\..*\\.xml$";

    /** Default regular expression for the EOPC04 files (IAU1980 compatibles). */
    public static final String EOPC04_1980_FILENAME = "^eopc04_08\\.(\\d\\d)$";

    /** Default regular expression for the BulletinB files (IAU1980 compatibles). */
    public static final String BULLETINB_1980_FILENAME = "^bulletinb((-\\d\\d\\d\\.txt)|(\\.\\d\\d\\d))$";

    /** Default regular expression for the Rapid Data and Prediction EOP columns files (IAU2000 compatibles). */
    public static final String RAPID_DATA_PREDICITON_COLUMNS_2000_FILENAME = "^finals2000A\\.[^.]*$";

    /** Default regular expression for the Rapid Data and Prediction EOP XML files (IAU2000 compatibles). */
    public static final String RAPID_DATA_PREDICITON_XML_2000_FILENAME = "^finals2000A\\..*\\.xml$";

    /** Default regular expression for the EOPC04 files (IAU2000 compatibles). */
    public static final String EOPC04_2000_FILENAME = "^eopc04_08_IAU2000\\.(\\d\\d)$";

    /** Default regular expression for the BulletinB files (IAU2000 compatibles). */
    public static final String BULLETINB_2000_FILENAME = "^bulletinb_IAU2000((-\\d\\d\\d\\.txt)|(\\.\\d\\d\\d))$";

    /** Predefined frames. */
    private static transient Map<Predefined, FactoryManagedFrame> FRAMES =
        new HashMap<Predefined, FactoryManagedFrame>();

    /** Loaders for Earth Orientation parameters. */
    private static final Map<IERSConventions, List<EOPHistoryLoader>> EOP_HISTORY_LOADERS =
        new HashMap<IERSConventions, List<EOPHistoryLoader>>();

    /** Private constructor.
     * <p>This class is a utility class, it should neither have a public
     * nor a default constructor. This private constructor prevents
     * the compiler from generating one automatically.</p>
     */
    private FramesFactory() {
    }

    /** Add the default loaders EOP history (IAU 1980 precession/nutation).
     * <p>
     * The default loaders look for IERS EOP 08 C04 and bulletins B files. They
     * correspond to {@link IERSConventions#IERS_1996 IERS 1996} conventions.
     * </p>
     * @param rapidDataColumnsSupportedNames regular expression for supported
     * rapid data columns EOP files names
     * (may be null if the default IERS file names are used)
     * @param rapidDataXMLSupportedNames regular expression for supported
     * rapid data XML EOP files names
     * (may be null if the default IERS file names are used)
     * @param eopC04SupportedNames regular expression for supported EOP 08 C04 files names
     * (may be null if the default IERS file names are used)
     * @param bulletinBSupportedNames regular expression for supported bulletin B files names
     * (may be null if the default IERS file names are used)
     * @see <a href="http://hpiers.obspm.fr/eoppc/eop/eopc04/">IERS EOP 08 C04 files</a>
     * @see #addEOPHistoryLoader(IERSConventions, EOPHistoryLoader)
     * @see #clearEOPHistoryLoaders()
     * @see #addDefaultEOP2000HistoryLoaders(String, String, String, String)
     */
    public static void addDefaultEOP1980HistoryLoaders(final String rapidDataColumnsSupportedNames,
                                                       final String rapidDataXMLSupportedNames,
                                                       final String eopC04SupportedNames,
                                                       final String bulletinBSupportedNames) {
        final String rapidColNames =
                (rapidDataColumnsSupportedNames == null) ?
                RAPID_DATA_PREDICTION_COLUMNS_1980_FILENAME : rapidDataColumnsSupportedNames;
        addEOPHistoryLoader(IERSConventions.IERS_1996,
                            new RapidDataAndPredictionColumnsLoader(false, rapidColNames));
        final String rapidXmlNames =
                (rapidDataXMLSupportedNames == null) ?
                RAPID_DATA_PREDICTION_XML_1980_FILENAME : rapidDataXMLSupportedNames;
        addEOPHistoryLoader(IERSConventions.IERS_1996,
                            new RapidDataAndPredictionXMLLoader(rapidXmlNames));
        final String eopcNames =
                (eopC04SupportedNames == null) ? EOPC04_1980_FILENAME : eopC04SupportedNames;
        addEOPHistoryLoader(IERSConventions.IERS_1996,
                            new EOP08C04FilesLoader(eopcNames));
        final String bulBNames =
            (bulletinBSupportedNames == null) ? BULLETINB_1980_FILENAME : bulletinBSupportedNames;
        addEOPHistoryLoader(IERSConventions.IERS_1996,
                            new BulletinBFilesLoader(bulBNames));
    }

    /** Add the default loaders for EOP history (IAU 2000/2006 precession/nutation).
     * <p>
     * The default loaders look for IERS EOP 08 C04 and bulletins B files. They
     * correspond to both {@link IERSConventions#IERS_2003 IERS 2003} and {@link
     * IERSConventions#IERS_2010 IERS 2010} conventions.
     * </p>
     * @param rapidDataColumnsSupportedNames regular expression for supported
     * rapid data columns EOP files names
     * (may be null if the default IERS file names are used)
     * @param rapidDataXMLSupportedNames regular expression for supported
     * rapid data XML EOP files names
     * (may be null if the default IERS file names are used)
     * @param eopC04SupportedNames regular expression for supported EOP 08 C04 files names
     * (may be null if the default IERS file names are used)
     * @param bulletinBSupportedNames regular expression for supported bulletin B files names
     * (may be null if the default IERS file names are used)
     * @see <a href="http://hpiers.obspm.fr/eoppc/eop/eopc04/">IERS EOP 08 C04 files</a>
     * @see #addEOPHistoryLoader(IERSConventions, EOPHistoryLoader)
     * @see #clearEOPHistoryLoaders()
     * @see #addDefaultEOP1980HistoryLoaders(String, String, String, String)
     */
    public static void addDefaultEOP2000HistoryLoaders(final String rapidDataColumnsSupportedNames,
                                                       final String rapidDataXMLSupportedNames,
                                                       final String eopC04SupportedNames,
                                                       final String bulletinBSupportedNames) {
        final String rapidColNames =
                (rapidDataColumnsSupportedNames == null) ?
                RAPID_DATA_PREDICITON_COLUMNS_2000_FILENAME : rapidDataColumnsSupportedNames;
        addEOPHistoryLoader(IERSConventions.IERS_2003,
                            new RapidDataAndPredictionColumnsLoader(true, rapidColNames));
        addEOPHistoryLoader(IERSConventions.IERS_2010,
                            new RapidDataAndPredictionColumnsLoader(true, rapidColNames));
        final String rapidXmlNames =
            (rapidDataXMLSupportedNames == null) ?
            RAPID_DATA_PREDICITON_XML_2000_FILENAME : rapidDataXMLSupportedNames;
        addEOPHistoryLoader(IERSConventions.IERS_2003,
                            new RapidDataAndPredictionXMLLoader(rapidXmlNames));
        addEOPHistoryLoader(IERSConventions.IERS_2010,
                            new RapidDataAndPredictionXMLLoader(rapidXmlNames));
        final String eopcNames =
            (eopC04SupportedNames == null) ? EOPC04_2000_FILENAME : eopC04SupportedNames;
        addEOPHistoryLoader(IERSConventions.IERS_2003,
                            new EOP08C04FilesLoader(eopcNames));
        addEOPHistoryLoader(IERSConventions.IERS_2010,
                            new EOP08C04FilesLoader(eopcNames));
        final String bulBNames =
            (bulletinBSupportedNames == null) ? BULLETINB_2000_FILENAME : bulletinBSupportedNames;
        addEOPHistoryLoader(IERSConventions.IERS_2003,
                            new BulletinBFilesLoader(bulBNames));
        addEOPHistoryLoader(IERSConventions.IERS_2010,
                            new BulletinBFilesLoader(bulBNames));
    }

    /** Add a loader for Earth Orientation Parameters history.
     * @param conventions IERS conventions to which EOP history applies
     * @param loader custom loader to add for the EOP history
     * @see #addDefaultEOP1980HistoryLoaders(String, String, String, String)
     * @see #clearEOPHistoryLoaders()
     */
    public static void addEOPHistoryLoader(final IERSConventions conventions, final EOPHistoryLoader loader) {
        synchronized (EOP_HISTORY_LOADERS) {
            if (!EOP_HISTORY_LOADERS.containsKey(conventions)) {
                EOP_HISTORY_LOADERS.put(conventions, new ArrayList<EOPHistoryLoader>());
            }
            EOP_HISTORY_LOADERS.get(conventions).add(loader);
        }
    }

    /** Clear loaders for Earth Orientation Parameters history.
     * @see #addEOPHistoryLoader(IERSConventions, EOPHistoryLoader)
     * @see #addDefaultEOP1980HistoryLoaders(String, String, String, String)
     */
    public static void clearEOPHistoryLoaders() {
        synchronized (EOP_HISTORY_LOADERS) {
            EOP_HISTORY_LOADERS.clear();
        }
    }

    /** Get Earth Orientation Parameters history.
     * <p>
     * If no {@link EOPHistoryLoader} has been added by calling {@link
     * #addEOPHistoryLoader(IERSConventions, EOPHistoryLoader) addEOPHistoryLoader}
     * or if {@link #clearEOPHistoryLoaders() clearEOPHistoryLoaders} has been
     * called afterwards, the {@link #addDefaultEOP1980HistoryLoaders(String, String,
     * String, String)} and {@link #addDefaultEOP2000HistoryLoaders(String, String,
     * String, String)} methods will be called automatically with supported file names
     * parameters all set to null, in order to get the default loaders configuration.
     * </p>
     * @param conventions conventions for which EOP history is requested
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return Earth Orientation Parameters history
     * @exception OrekitException if the data cannot be loaded
     */
    public static EOPHistory getEOPHistory(final IERSConventions conventions, final boolean simpleEOP)
        throws OrekitException {

        synchronized (EOP_HISTORY_LOADERS) {

            //TimeStamped based set needed to remove duplicates
            if (EOP_HISTORY_LOADERS.isEmpty()) {
                addDefaultEOP2000HistoryLoaders(null, null, null, null);
                addDefaultEOP1980HistoryLoaders(null, null, null, null);
            }

            OrekitException pendingException = null;
            final SortedSet<EOPEntry> data = new TreeSet<EOPEntry>(new ChronologicalComparator());

            // try to load canonical data if available
            if (EOP_HISTORY_LOADERS.containsKey(conventions)) {
                for (final EOPHistoryLoader loader : EOP_HISTORY_LOADERS.get(conventions)) {
                    try {
                        loader.fillHistory(conventions.getNutationCorrectionConverter(), data);
                    } catch (OrekitException oe) {
                        pendingException = oe;
                    }
                }
            }

            if (data.isEmpty() && pendingException != null) {
                throw pendingException;
            }

            final EOPHistory history = new EOPHistory(conventions, data, simpleEOP);
            history.checkEOPContinuity(5 * Constants.JULIAN_DAY);
            return history;

        }

    }

    /** Get one of the predefined frames.
     * @param factoryKey key of the frame within the factory
     * @return the predefined frame
     * @exception OrekitException if frame cannot be built due to missing data
     */
    @SuppressWarnings("deprecation")
    public static Frame getFrame(final Predefined factoryKey)
        throws OrekitException {
        switch (factoryKey) {
        case GCRF :
            return getGCRF();
        case ICRF :
            return getICRF();
        case EME2000 :
            return getEME2000();
        case ITRF_2008_WITHOUT_TIDAL_EFFECTS :
        case ITRF_CIO_CONV_2010_SIMPLE_EOP :
            return getITRF(IERSConventions.IERS_2010, true);
        case ITRF_2008_WITH_TIDAL_EFFECTS :
        case ITRF_CIO_CONV_2010_ACCURATE_EOP :
            return getITRF(IERSConventions.IERS_2010, false);
        case ITRF_CIO_CONV_2003_SIMPLE_EOP :
            return getITRF(IERSConventions.IERS_2003, true);
        case ITRF_CIO_CONV_2003_ACCURATE_EOP :
            return getITRF(IERSConventions.IERS_2003, false);
        case ITRF_CIO_CONV_1996_SIMPLE_EOP :
            return getITRF(IERSConventions.IERS_1996, true);
        case ITRF_CIO_CONV_1996_ACCURATE_EOP :
            return getITRF(IERSConventions.IERS_1996, false);
        case ITRF_2005_WITHOUT_TIDAL_EFFECTS :
            return getITRF2005(true);
        case ITRF_2005_WITH_TIDAL_EFFECTS :
            return getITRF2005(false);
        case ITRF_2000_WITHOUT_TIDAL_EFFECTS :
            return getITRF2000(true);
        case ITRF_2000_WITH_TIDAL_EFFECTS :
            return getITRF2000(false);
        case ITRF_97_WITHOUT_TIDAL_EFFECTS :
            return getITRF97(true);
        case ITRF_97_WITH_TIDAL_EFFECTS :
            return getITRF97(false);
        case ITRF_93_WITHOUT_TIDAL_EFFECTS :
            return getITRF93(true);
        case ITRF_93_WITH_TIDAL_EFFECTS :
            return getITRF93(false);
        case ITRF_EQUINOX_CONV_2010_SIMPLE_EOP :
            return getITRFEquinox(IERSConventions.IERS_2010, true);
        case ITRF_EQUINOX_CONV_2010_ACCURATE_EOP :
            return getITRFEquinox(IERSConventions.IERS_2010, false);
        case ITRF_EQUINOX_CONV_2003_SIMPLE_EOP :
            return getITRFEquinox(IERSConventions.IERS_2003, true);
        case ITRF_EQUINOX_CONV_2003_ACCURATE_EOP :
            return getITRFEquinox(IERSConventions.IERS_2003, false);
        case ITRF_EQUINOX :
        case ITRF_EQUINOX_CONV_1996_SIMPLE_EOP :
            return getITRFEquinox(IERSConventions.IERS_1996, true);
        case ITRF_EQUINOX_CONV_1996_ACCURATE_EOP :
            return getITRFEquinox(IERSConventions.IERS_1996, false);
        case TIRF_2000_CONV_2010_WITHOUT_TIDAL_EFFECTS :
        case TIRF_CONVENTIONS_2010_SIMPLE_EOP :
            return getTIRF(IERSConventions.IERS_2010, true);
        case TIRF_2000_CONV_2010_WITH_TIDAL_EFFECTS :
        case TIRF_CONVENTIONS_2010_ACCURATE_EOP :
            return getTIRF(IERSConventions.IERS_2010, false);
        case TIRF_2000_CONV_2003_WITHOUT_TIDAL_EFFECTS :
        case TIRF_CONVENTIONS_2003_SIMPLE_EOP :
            return getTIRF(IERSConventions.IERS_2003, true);
        case TIRF_2000_CONV_2003_WITH_TIDAL_EFFECTS :
        case TIRF_CONVENTIONS_2003_ACCURATE_EOP :
            return getTIRF(IERSConventions.IERS_2003, false);
        case TIRF_CONVENTIONS_1996_SIMPLE_EOP :
            return getTIRF(IERSConventions.IERS_1996, true);
        case TIRF_CONVENTIONS_1996_ACCURATE_EOP :
            return getTIRF(IERSConventions.IERS_1996, false);
        case CIRF_2000_CONV_2010 :
        case CIRF_CONVENTIONS_2010_ACCURATE_EOP :
            return getCIRF(IERSConventions.IERS_2010, false);
        case CIRF_CONVENTIONS_2010_SIMPLE_EOP :
            return getCIRF(IERSConventions.IERS_2010, true);
        case CIRF_2000_CONV_2003 :
        case CIRF_CONVENTIONS_2003_ACCURATE_EOP :
            return getCIRF(IERSConventions.IERS_2003, false);
        case CIRF_CONVENTIONS_2003_SIMPLE_EOP :
            return getCIRF(IERSConventions.IERS_2003, true);
        case CIRF_CONVENTIONS_1996_ACCURATE_EOP :
            return getCIRF(IERSConventions.IERS_1996, false);
        case CIRF_CONVENTIONS_1996_SIMPLE_EOP :
            return getCIRF(IERSConventions.IERS_1996, true);
        case VEIS_1950 :
            return getVeis1950();
        case GTOD_WITHOUT_EOP_CORRECTIONS :
            return getGTOD(IERSConventions.IERS_1996, false, true);
        case GTOD_CONVENTIONS_2010_ACCURATE_EOP :
            return getGTOD(IERSConventions.IERS_2010, true, false);
        case GTOD_CONVENTIONS_2010_SIMPLE_EOP :
            return getGTOD(IERSConventions.IERS_2010, true, true);
        case GTOD_CONVENTIONS_2003_ACCURATE_EOP :
            return getGTOD(IERSConventions.IERS_2003, true, false);
        case GTOD_CONVENTIONS_2003_SIMPLE_EOP :
            return getGTOD(IERSConventions.IERS_2003, true, true);
        case GTOD_WITH_EOP_CORRECTIONS :
        case GTOD_CONVENTIONS_1996_ACCURATE_EOP :
            return getGTOD(IERSConventions.IERS_1996, true, false);
        case GTOD_CONVENTIONS_1996_SIMPLE_EOP :
            return getGTOD(IERSConventions.IERS_1996, true, true);
        case TOD_WITHOUT_EOP_CORRECTIONS :
            return getTOD(IERSConventions.IERS_1996, false, true);
        case TOD_CONVENTIONS_2010_ACCURATE_EOP :
            return getTOD(IERSConventions.IERS_2010, true, false);
        case TOD_CONVENTIONS_2010_SIMPLE_EOP :
            return getTOD(IERSConventions.IERS_2010, true, true);
        case TOD_CONVENTIONS_2003_ACCURATE_EOP :
            return getTOD(IERSConventions.IERS_2003, true, false);
        case TOD_CONVENTIONS_2003_SIMPLE_EOP :
            return getTOD(IERSConventions.IERS_2003, true, true);
        case TOD_WITH_EOP_CORRECTIONS :
        case TOD_CONVENTIONS_1996_ACCURATE_EOP :
            return getTOD(IERSConventions.IERS_1996, true, false);
        case TOD_CONVENTIONS_1996_SIMPLE_EOP :
            return getTOD(IERSConventions.IERS_1996, true, true);
        case MOD_WITHOUT_EOP_CORRECTIONS :
            return getMOD(IERSConventions.IERS_1996, false);
        case MOD_CONVENTIONS_2010 :
            return getMOD(IERSConventions.IERS_2010, true);
        case MOD_CONVENTIONS_2003 :
            return getMOD(IERSConventions.IERS_2003, true);
        case MOD_WITH_EOP_CORRECTIONS :
        case MOD_CONVENTIONS_1996 :
            return getMOD(IERSConventions.IERS_1996, true);
        case TEME :
            return getTEME();
        default :
            throw OrekitException.createInternalError(null);
        }
    }

    /** Get the unique GCRF frame.
     * <p>The GCRF frame is the root frame in the frame tree.</p>
     * @return the unique instance of the GCRF frame
     */
    public static Frame getGCRF() {
        return Frame.getRoot();
    }

    /** Get the unique ICRF frame.
     * <p>The ICRF frame is centered at solar system barycenter and aligned
     * with EME2000.</p>
     * @return the unique instance of the ICRF frame
     * @exception OrekitException if solar system ephemerides cannot be loaded
     */
    public static Frame getICRF() throws OrekitException {
        return CelestialBodyFactory.getSolarSystemBarycenter().getInertiallyOrientedFrame();
    }

    /** Get the unique EME2000 frame.
     * <p>The EME2000 frame is also called the J2000 frame.
     * The former denomination is preferred in Orekit.</p>
     * @return the unique instance of the EME2000 frame
     */
    public static FactoryManagedFrame getEME2000() {
        synchronized (FramesFactory.class) {

            // try to find an already built frame
            FactoryManagedFrame frame = FRAMES.get(Predefined.EME2000);

            if (frame == null) {
                // it's the first time we need this frame, build it and store it
                frame = new FactoryManagedFrame(getGCRF(), new EME2000Provider(), true, Predefined.EME2000);
                FRAMES.put(Predefined.EME2000, frame);
            }

            return frame;

        }
    }

    /** Get the ITRF2008 reference frame, using IERS 2010 conventions.
     * @param conventions IERS conventions to apply
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     * @since 6.1
     */
    public static FactoryManagedFrame getITRF(final IERSConventions conventions,
                                              final boolean simpleEOP)
        throws OrekitException {
        synchronized (FramesFactory.class) {

            // try to find an already built frame
            final Predefined factoryKey;
            switch (conventions) {
            case IERS_1996 :
                factoryKey = simpleEOP ?
                             Predefined.ITRF_CIO_CONV_1996_SIMPLE_EOP :
                             Predefined.ITRF_CIO_CONV_1996_ACCURATE_EOP;
                break;
            case IERS_2003 :
                factoryKey = simpleEOP ?
                             Predefined.ITRF_CIO_CONV_2003_SIMPLE_EOP :
                             Predefined.ITRF_CIO_CONV_2003_ACCURATE_EOP;
                break;
            case IERS_2010 :
                factoryKey = simpleEOP ?
                             Predefined.ITRF_CIO_CONV_2010_SIMPLE_EOP :
                             Predefined.ITRF_CIO_CONV_2010_ACCURATE_EOP;
                break;
            default :
                // this should never happen
                throw OrekitException.createInternalError(null);
            }
            FactoryManagedFrame frame = FRAMES.get(factoryKey);

            if (frame == null) {
                // it's the first time we need this frame, build it and store it
                final Frame tirfFrame = getTIRF(conventions, simpleEOP);
                final TIRFProvider tirfProvider = (TIRFProvider) tirfFrame.getTransformProvider();
                frame = new FactoryManagedFrame(tirfFrame,
                                                new ITRFProvider(tirfProvider.getEOPHistory()),
                                                false, factoryKey);
                FRAMES.put(factoryKey, frame);
            }

            return frame;

        }
    }

    /** Get the ITRF2008 reference frame, using IERS 2010 conventions and ignoring tidal effects.
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated as of 6.1, replaced with {@link #getITRF(IERSConventions, boolean)}
     */
    @Deprecated
    public static FactoryManagedFrame getITRF2008() throws OrekitException {
        return getITRF2008(true);
    }

    /** Get the ITRF2008 reference frame, using IERS 2010 conventions.
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated as of 6.1, replaced with {@link #getITRF(IERSConventions, boolean)}
     */
    @Deprecated
    public static FactoryManagedFrame getITRF2008(final boolean simpleEOP) throws OrekitException {
        return getITRF(IERSConventions.IERS_2010, simpleEOP);
    }

    /** Get the ITRF2005 reference frame, using IERS 2010 conventions and ignoring tidal effects.
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated as of 6.1, replaced by {@link #getITRF(IERSConventions, boolean)} and
     * {@link HelmertTransformation.Predefined#ITRF_2008_TO_ITRF_2005}
     */
    @Deprecated
    public static FactoryManagedFrame getITRF2005() throws OrekitException {
        return getITRF2005(true);
    }

    /** Get the ITRF2005 reference frame, using IERS 2010 conventions.
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated as of 6.1, replaced by {@link #getITRF(IERSConventions, boolean)} and
     * {@link HelmertTransformation.Predefined#ITRF_2008_TO_ITRF_2005}
     */
    @Deprecated
    public static FactoryManagedFrame getITRF2005(final boolean simpleEOP) throws OrekitException {

        final Predefined factoryKey = simpleEOP ?
                                      Predefined.ITRF_2005_WITHOUT_TIDAL_EFFECTS :
                                      Predefined.ITRF_2005_WITH_TIDAL_EFFECTS;

        return getITRSRealization(factoryKey, getITRF2008(simpleEOP),
                                  HelmertTransformation.Predefined.ITRF_2008_TO_ITRF_2005);

    }

    /** Get the ITRF2000 reference frame, ignoring tidal effects.
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated as of 6.1, replaced by {@link #getITRF(IERSConventions, boolean)} and
     * {@link HelmertTransformation.Predefined#ITRF_2008_TO_ITRF_2000}
     */
    @Deprecated
    public static FactoryManagedFrame getITRF2000() throws OrekitException {
        return getITRF2000(true);
    }

    /** Get the ITRF2000 reference frame.
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated as of 6.1, replaced by {@link #getITRF(IERSConventions, boolean)} and
     * {@link HelmertTransformation.Predefined#ITRF_2008_TO_ITRF_2000}
     */
    @Deprecated
    public static FactoryManagedFrame getITRF2000(final boolean simpleEOP) throws OrekitException {

        final Predefined factoryKey = simpleEOP ?
                                      Predefined.ITRF_2000_WITHOUT_TIDAL_EFFECTS :
                                      Predefined.ITRF_2000_WITH_TIDAL_EFFECTS;

        return getITRSRealization(factoryKey, getITRF2008(simpleEOP),
                                  HelmertTransformation.Predefined.ITRF_2008_TO_ITRF_2000);

    }

    /** Get the ITRF97 reference frame, ignoring tidal effects.
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated as of 6.1, replaced by {@link #getITRF(IERSConventions, boolean)} and
     * {@link HelmertTransformation.Predefined#ITRF_2008_TO_ITRF_97}
     */
    @Deprecated
    public static FactoryManagedFrame getITRF97() throws OrekitException {
        return getITRF97(true);
    }

    /** Get the ITRF97 reference frame.
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated as of 6.1, replaced by {@link #getITRF(IERSConventions, boolean)} and
     * {@link HelmertTransformation.Predefined#ITRF_2008_TO_ITRF_97}
     */
    @Deprecated
    public static FactoryManagedFrame getITRF97(final boolean simpleEOP) throws OrekitException {

        final Predefined factoryKey = simpleEOP ?
                                      Predefined.ITRF_97_WITHOUT_TIDAL_EFFECTS :
                                      Predefined.ITRF_97_WITH_TIDAL_EFFECTS;

        return getITRSRealization(factoryKey, getITRF2008(simpleEOP),
                                  HelmertTransformation.Predefined.ITRF_2008_TO_ITRF_97);

    }

    /** Get the ITRF93 reference frame, ignoring tidal effects.
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated as of 6.1, replaced by {@link #getITRF(IERSConventions, boolean)} and
     * {@link HelmertTransformation.Predefined#ITRF_2008_TO_ITRF_93}
     */
    @Deprecated
    public static FactoryManagedFrame getITRF93() throws OrekitException {
        return getITRF93(true);
    }

    /** Get the ITRF93 reference frame.
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated as of 6.1, replaced by {@link #getITRF(IERSConventions, boolean)} and
     * {@link HelmertTransformation.Predefined#ITRF_2008_TO_ITRF_93}
     */
    @Deprecated
    public static FactoryManagedFrame getITRF93(final boolean simpleEOP) throws OrekitException {

        final Predefined factoryKey = simpleEOP ?
                                      Predefined.ITRF_93_WITHOUT_TIDAL_EFFECTS :
                                      Predefined.ITRF_93_WITH_TIDAL_EFFECTS;

        return getITRSRealization(factoryKey, getITRF2008(simpleEOP),
                                  HelmertTransformation.Predefined.ITRF_2008_TO_ITRF_93);

    }

    /** Get an ITRS realization reference frame.
     * @param factoryKey key of the frame within the factory
     * @param parent parent frame to which the Helmert transformation should be applied
     * to define the desired realization
     * @param predefined predefined transformation between parent frame and created frame
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     */
    private static FactoryManagedFrame getITRSRealization(final Predefined factoryKey, final Frame parent,
                                                          final HelmertTransformation.Predefined predefined)
        throws OrekitException {
        synchronized (FramesFactory.class) {

            // try to find an already built frame
            FactoryManagedFrame frame = FRAMES.get(factoryKey);

            if (frame == null) {
                // it's the first time we need this frame, build it and store it
                final Frame nonFactoryManaged = predefined.createTransformedITRF(parent, factoryKey.getName());
                final TransformProvider provider = nonFactoryManaged.getTransformProvider();
                frame = new FactoryManagedFrame(parent, provider, false, factoryKey);
                FRAMES.put(factoryKey, frame);

            }

            return frame;

        }
    }

    /** Get the TIRF reference frame, ignoring tidal effects.
     * @param conventions IERS conventions to apply
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated since 6.1 replaced with {@link #getTIRF(IERSConventions)}
     */
    @Deprecated
    public static FactoryManagedFrame getTIRF2000(final IERSConventions conventions) throws OrekitException {
        return getTIRF(conventions);
    }

    /** Get the TIRF reference frame, ignoring tidal effects.
     * @param conventions IERS conventions to apply
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     */
    public static FactoryManagedFrame getTIRF(final IERSConventions conventions) throws OrekitException {
        return getTIRF(conventions, true);
    }

    /** Get the TIRF reference frame.
     * @param conventions IERS conventions to apply
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated since 6.1 replaced with {@link #getTIRF(IERSConventions, boolean)}
     */
    @Deprecated
    public static FactoryManagedFrame getTIRF2000(final IERSConventions conventions,
                                                  final boolean simpleEOP) throws OrekitException {
        return getTIRF(conventions, simpleEOP);
    }

    /** Get the TIRF reference frame.
     * @param conventions IERS conventions to apply
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @since 6.1
     */
    public static FactoryManagedFrame getTIRF(final IERSConventions conventions,
                                              final boolean simpleEOP)
        throws OrekitException {
        synchronized (FramesFactory.class) {

            // try to find an already built frame
            final Predefined factoryKey;
            switch (conventions) {
            case IERS_1996 :
                factoryKey = simpleEOP ?
                             Predefined.TIRF_CONVENTIONS_1996_SIMPLE_EOP :
                             Predefined.TIRF_CONVENTIONS_1996_ACCURATE_EOP;
                break;
            case IERS_2003 :
                factoryKey = simpleEOP ?
                             Predefined.TIRF_CONVENTIONS_2003_SIMPLE_EOP :
                             Predefined.TIRF_CONVENTIONS_2003_ACCURATE_EOP;
                break;
            case IERS_2010 :
                factoryKey = simpleEOP ?
                             Predefined.TIRF_CONVENTIONS_2010_SIMPLE_EOP :
                             Predefined.TIRF_CONVENTIONS_2010_ACCURATE_EOP;
                break;
            default :
                // this should never happen
                throw OrekitException.createInternalError(null);
            }
            FactoryManagedFrame frame = FRAMES.get(factoryKey);

            if (frame == null) {
                // it's the first time we need this frame, build it and store it
                final Frame cirf = getCIRF(conventions, simpleEOP);
                final InterpolatingTransformProvider cirfInterpolating =
                        (InterpolatingTransformProvider) cirf.getTransformProvider();
                final CIRFProvider cirfRaw = (CIRFProvider) cirfInterpolating.getRawProvider();
                final EOPHistory eopHistory = cirfRaw.getEOPHistory();
                frame = new FactoryManagedFrame(cirf, new TIRFProvider(eopHistory), false, factoryKey);
                FRAMES.put(factoryKey, frame);
            }

            return frame;

        }
    }

    /** Get the CIRF2000 reference frame.
     * @param conventions IERS conventions to apply
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     * @deprecated since 6.1 repaced with {@link #getCIRF(IERSConventions, boolean)}
     */
    @Deprecated
    public static FactoryManagedFrame getCIRF2000(final IERSConventions conventions) throws OrekitException {
        return getCIRF(conventions, false);
    }

    /** Get the CIRF2000 reference frame.
     * @param conventions IERS conventions to apply
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if the precession-nutation model data embedded in the
     * library cannot be read.
     */
    public static FactoryManagedFrame getCIRF(final IERSConventions conventions,
                                              final boolean simpleEOP)
        throws OrekitException {
        synchronized (FramesFactory.class) {

            // try to find an already built frame
            final Predefined factoryKey;
            switch (conventions) {
            case IERS_1996 :
                factoryKey = simpleEOP ?
                             Predefined.CIRF_CONVENTIONS_1996_SIMPLE_EOP :
                             Predefined.CIRF_CONVENTIONS_1996_ACCURATE_EOP;
                break;
            case IERS_2003 :
                factoryKey = simpleEOP ?
                             Predefined.CIRF_CONVENTIONS_2003_SIMPLE_EOP :
                             Predefined.CIRF_CONVENTIONS_2003_ACCURATE_EOP;
                break;
            case IERS_2010 :
                factoryKey = simpleEOP ?
                             Predefined.CIRF_CONVENTIONS_2010_SIMPLE_EOP :
                             Predefined.CIRF_CONVENTIONS_2010_ACCURATE_EOP;
                break;
            default :
                // this should never happen
                throw OrekitException.createInternalError(null);
            }
            FactoryManagedFrame frame = FRAMES.get(factoryKey);

            if (frame == null) {
                // it's the first time we need this frame, build it and store it
                final EOPHistory eopHistory = FramesFactory.getEOPHistory(conventions, simpleEOP);
                final TransformProvider interpolating =
                        new InterpolatingTransformProvider(new CIRFProvider(eopHistory), true, false,
                                                           AbsoluteDate.PAST_INFINITY, AbsoluteDate.FUTURE_INFINITY,
                                                           6, Constants.JULIAN_DAY / 24,
                                                           OrekitConfiguration.getCacheSlotsNumber(),
                                                           Constants.JULIAN_YEAR, 30 * Constants.JULIAN_DAY);
                frame = new FactoryManagedFrame(getGCRF(), interpolating, true, factoryKey);
                FRAMES.put(factoryKey, frame);
            }

            return frame;

        }
    }

    /** Get the VEIS 1950 reference frame.
     * <p>Its parent frame is the GTOD frame with IERS 1996 conventions without EOP corrections.<p>
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     */
    public static FactoryManagedFrame getVeis1950() throws OrekitException {
        synchronized (FramesFactory.class) {

            // try to find an already built frame
            final Predefined factoryKey = Predefined.VEIS_1950;
            FactoryManagedFrame frame = FRAMES.get(factoryKey);

            if (frame == null) {
                // it's the first time we need this frame, build it and store it
                frame = new FactoryManagedFrame(FramesFactory.getGTOD(IERSConventions.IERS_1996, false, true),
                                                new VEISProvider(), true, factoryKey);
                FRAMES.put(factoryKey, frame);
            }

            return frame;

        }
    }

    /** Get the equinox-based ITRF reference frame.
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     * @deprecated since 6.1 replaced with {@link #getITRFEquinox(IERSConventions, boolean)}
     */
    @Deprecated
    public static FactoryManagedFrame getITRFEquinox() throws OrekitException {
        return getITRFEquinox(IERSConventions.IERS_1996, true);
    }

    /** Get the equinox-based ITRF reference frame.
     * @param conventions IERS conventions to apply
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     * @since 6.1
     */
    public static FactoryManagedFrame getITRFEquinox(final IERSConventions conventions,
                                                     final boolean simpleEOP)
        throws OrekitException {
        synchronized (FramesFactory.class) {

            // try to find an already built frame
            final Predefined factoryKey;
            switch (conventions) {
            case IERS_1996 :
                factoryKey = simpleEOP ?
                             Predefined.ITRF_EQUINOX_CONV_1996_SIMPLE_EOP :
                             Predefined.ITRF_EQUINOX_CONV_1996_ACCURATE_EOP;
                break;
            case IERS_2003 :
                factoryKey = simpleEOP ?
                             Predefined.ITRF_EQUINOX_CONV_2003_SIMPLE_EOP :
                             Predefined.ITRF_EQUINOX_CONV_2003_ACCURATE_EOP;
                break;
            case IERS_2010 :
                factoryKey = simpleEOP ?
                             Predefined.ITRF_EQUINOX_CONV_2010_SIMPLE_EOP :
                             Predefined.ITRF_EQUINOX_CONV_2010_ACCURATE_EOP;
                break;
            default :
                // this should never happen
                throw OrekitException.createInternalError(null);
            }
            FactoryManagedFrame frame = FRAMES.get(factoryKey);

            if (frame == null) {
                // it's the first time we need this frame, build it and store it
                final Frame gtod = getGTOD(conventions, true, simpleEOP);
                final InterpolatingTransformProvider gtodInterpolating =
                        (InterpolatingTransformProvider) gtod.getTransformProvider();
                final GTODProvider gtodRaw    = (GTODProvider) gtodInterpolating.getRawProvider();
                final EOPHistory   eopHistory = gtodRaw.getEOPHistory();
                frame = new FactoryManagedFrame(gtod, new ITRFProvider(eopHistory), false, factoryKey);
                FRAMES.put(factoryKey, frame);
            }

            return frame;

        }
    }

    /** Get the GTOD reference frame.
     * <p>
     * The applyEOPCorr parameter is available mainly for testing purposes or for
     * consistency with legacy software that don't handle EOP correction parameters.
     * Beware that setting this parameter to {@code false} leads to crude accuracy
     * (order of magnitudes for errors might be above 250m in LEO and 1400m in GEO).
     * For this reason, setting this parameter to false is restricted to {@link
     * IERSConventions#IERS_1996 IERS 1996} conventions, and hence the {@link
     * IERSConventions IERS conventions} cannot be freely chosen here.
     * </p>
     * @param applyEOPCorr if true, EOP corrections are applied (here, dut1 and lod)
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     */
    public static FactoryManagedFrame getGTOD(final boolean applyEOPCorr) throws OrekitException {
        return getGTOD(IERSConventions.IERS_1996, applyEOPCorr, true);
    }

    /** Get the GTOD reference frame.
     * @param conventions IERS conventions to apply
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     * @deprecated as of 6.1, replaced with {@link #getGTOD(IERSConventions, boolean)}
     */
    @Deprecated
    public static FactoryManagedFrame getGTOD(final IERSConventions conventions)
        throws OrekitException {
        return getGTOD(conventions, true, true);
    }

    /** Get the GTOD reference frame.
     * @param conventions IERS conventions to apply
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     */
    public static FactoryManagedFrame getGTOD(final IERSConventions conventions,
                                              final boolean simpleEOP)
        throws OrekitException {
        return getGTOD(conventions, true, simpleEOP);
    }

    /** Get the GTOD reference frame.
     * <p>
     * The applyEOPCorr parameter is available mainly for testing purposes or for
     * consistency with legacy software that don't handle EOP correction parameters.
     * Beware that setting this parameter to {@code false} leads to crude accuracy
     * (order of magnitudes for errors might be above 250m in LEO and 1400m in GEO).
     * For this reason, setting this parameter to false is restricted to {@link
     * IERSConventions#IERS_1996 IERS 1996} conventions, and hence this method is private.
     * </p>
     * @param conventions IERS conventions to apply
     * @param applyEOPCorr if true, EOP corrections are applied (here, dut1 and lod)
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     */
    private static FactoryManagedFrame getGTOD(final IERSConventions conventions,
                                               final boolean applyEOPCorr,
                                               final boolean simpleEOP)
        throws OrekitException {

        if (conventions != IERSConventions.IERS_1996 && !applyEOPCorr) {
            // this should never happen as this method is private and called
            // only above with controlled input
            throw OrekitException.createInternalError(null);
        }

        synchronized (FramesFactory.class) {

            // try to find an already built frame
            final Predefined factoryKey;
            switch (conventions) {
            case IERS_1996 :
                factoryKey = applyEOPCorr ?
                             (simpleEOP ? Predefined.GTOD_CONVENTIONS_1996_SIMPLE_EOP : Predefined.GTOD_CONVENTIONS_1996_ACCURATE_EOP) :
                             Predefined.GTOD_WITHOUT_EOP_CORRECTIONS;
                break;
            case IERS_2003 :
                factoryKey = simpleEOP ?
                             Predefined.GTOD_CONVENTIONS_2003_SIMPLE_EOP :
                             Predefined.GTOD_CONVENTIONS_2003_ACCURATE_EOP;
                break;
            case IERS_2010 :
                factoryKey = simpleEOP ?
                             Predefined.GTOD_CONVENTIONS_2010_SIMPLE_EOP :
                             Predefined.GTOD_CONVENTIONS_2010_ACCURATE_EOP;
                break;
            default :
                // this should never happen
                throw OrekitException.createInternalError(null);
            }
            FactoryManagedFrame frame = FRAMES.get(factoryKey);

            if (frame == null) {
                // it's the first time we need this frame, build it and store it
                final Frame tod = getTOD(conventions, applyEOPCorr, simpleEOP);
                final InterpolatingTransformProvider todInterpolating =
                        (InterpolatingTransformProvider) tod.getTransformProvider();
                final TODProvider       todRaw     = (TODProvider) todInterpolating.getRawProvider();
                final EOPHistory        eopHistory = todRaw.getEOPHistory();
                final GTODProvider      gtodRaw    = new GTODProvider(conventions, eopHistory);
                final TransformProvider gtodInterpolating =
                        new InterpolatingTransformProvider(gtodRaw, true, false,
                                                           AbsoluteDate.PAST_INFINITY, AbsoluteDate.FUTURE_INFINITY,
                                                           todInterpolating.getGridPoints(), todInterpolating.getStep(),
                                                           OrekitConfiguration.getCacheSlotsNumber(),
                                                           Constants.JULIAN_YEAR, 30 * Constants.JULIAN_DAY);
                frame = new FactoryManagedFrame(tod, gtodInterpolating, false, factoryKey);
                FRAMES.put(factoryKey, frame);
            }

            return frame;

        }
    }

    /** Get the GTOD reference frame.
     * <p>
     * The applyEOPCorr parameter is available mainly for testing purposes or for
     * consistency with legacy software that don't handle EOP correction parameters.
     * Beware that setting this parameter to {@code false} leads to crude accuracy
     * (order of magnitudes for errors might be above 250m in LEO and 1400m in GEO).
     * </p>
     * @param applyEOPCorr if true, EOP corrections are applied (here, lod)
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     * @deprecated as of 6.0, replaced by {@link #getGTOD(IERSConventions, boolean)}
     */
    @Deprecated
    public static FactoryManagedFrame getPEF(final boolean applyEOPCorr) throws OrekitException {
        return getGTOD(applyEOPCorr);
    }

    /** Get the TOD reference frame.
     * <p>
     * The applyEOPCorr parameter is available mainly for testing purposes or for
     * consistency with legacy software that don't handle EOP correction parameters.
     * Beware that setting this parameter to {@code false} leads to crude accuracy
     * (order of magnitudes for errors might be above 1m in LEO and 10m in GEO).
     * For this reason, setting this parameter to false is restricted to {@link
     * IERSConventions#IERS_1996 IERS 1996} conventions, and hence the {@link
     * IERSConventions IERS conventions} cannot be freely chosen here.
     * </p>
     * @param applyEOPCorr if true, EOP corrections are applied (here, nutation)
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     */
    public static FactoryManagedFrame getTOD(final boolean applyEOPCorr)
        throws OrekitException {
        return getTOD(IERSConventions.IERS_1996, applyEOPCorr, false);
    }

    /** Get the TOD reference frame.
     * @param conventions IERS conventions to apply
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     * @deprecated as of 6.1, replaced with {@link #getTOD(IERSConventions, boolean)}
     */
    public static FactoryManagedFrame getTOD(final IERSConventions conventions)
        throws OrekitException {
        return getTOD(conventions, true, true);
    }

    /** Get the TOD reference frame.
     * @param conventions IERS conventions to apply
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     */
    public static FactoryManagedFrame getTOD(final IERSConventions conventions,
                                             final boolean simpleEOP)
        throws OrekitException {
        return getTOD(conventions, true, simpleEOP);
    }

    /** Get the TOD reference frame.
     * <p>
     * The applyEOPCorr parameter is available mainly for testing purposes or for
     * consistency with legacy software that don't handle EOP correction parameters.
     * Beware that setting this parameter to {@code false} leads to crude accuracy
     * (order of magnitudes for errors might be above 1m in LEO and 10m in GEO).
     * For this reason, setting this parameter to false is restricted to {@link
     * IERSConventions#IERS_1996 IERS 1996} conventions, and hence this method is private.
     * </p>
     * @param conventions IERS conventions to apply
     * @param applyEOPCorr if true, EOP corrections are applied (here, nutation)
     * @param simpleEOP if true, tidal effects are ignored when interpolating EOP
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     */
    private static FactoryManagedFrame getTOD(final IERSConventions conventions,
                                              final boolean applyEOPCorr,
                                              final boolean simpleEOP)
        throws OrekitException {

        if (conventions != IERSConventions.IERS_1996 && !applyEOPCorr) {
            // this should never happen as this method is private and called
            // only above with controlled input
            throw OrekitException.createInternalError(null);
        }

        synchronized (FramesFactory.class) {

            // try to find an already built frame
            final Predefined factoryKey;
            switch (conventions) {
            case IERS_1996 :
                factoryKey = applyEOPCorr ?
                             (simpleEOP ? Predefined.TOD_CONVENTIONS_1996_SIMPLE_EOP : Predefined.TOD_CONVENTIONS_1996_ACCURATE_EOP) :
                             Predefined.TOD_WITHOUT_EOP_CORRECTIONS;
                break;
            case IERS_2003 :
                factoryKey = simpleEOP ?
                             Predefined.TOD_CONVENTIONS_2003_SIMPLE_EOP :
                             Predefined.TOD_CONVENTIONS_2003_ACCURATE_EOP;
                break;
            case IERS_2010 :
                factoryKey = simpleEOP ?
                             Predefined.TOD_CONVENTIONS_2010_SIMPLE_EOP :
                             Predefined.TOD_CONVENTIONS_2010_ACCURATE_EOP;
                break;
            default :
                // this should never happen
                throw OrekitException.createInternalError(null);
            }
            final int interpolationPoints;
            final int pointsPerDay;
            if (applyEOPCorr) {
                interpolationPoints = 6;
                pointsPerDay        = 24;
            } else {
                interpolationPoints = 6;
                pointsPerDay        = 8;
            }
            FactoryManagedFrame frame = FRAMES.get(factoryKey);

            if (frame == null) {
                // it's the first time we need this frame, build it and store it
                final EOPHistory eopHistory = applyEOPCorr ? getEOPHistory(conventions, simpleEOP) : null;
                final TransformProvider interpolating =
                        new InterpolatingTransformProvider(new TODProvider(conventions, eopHistory),
                                                           true, false,
                                                           AbsoluteDate.PAST_INFINITY, AbsoluteDate.FUTURE_INFINITY,
                                                           interpolationPoints, Constants.JULIAN_DAY / pointsPerDay,
                                                           OrekitConfiguration.getCacheSlotsNumber(),
                                                           Constants.JULIAN_YEAR, 30 * Constants.JULIAN_DAY);
                frame = new FactoryManagedFrame(getMOD(conventions, applyEOPCorr), interpolating, true, factoryKey);
                FRAMES.put(factoryKey, frame);
            }

            return frame;

        }
    }

    /** Get the MOD reference frame.
     * <p>
     * The applyEOPCorr parameter is available mainly for testing purposes or for
     * consistency with legacy software that don't handle EOP correction parameters.
     * Beware that setting this parameter to {@code false} leads to crude accuracy
     * (order of magnitudes for errors might be above 1m in LEO and 10m in GEO).
     * For this reason, setting this parameter to false is restricted to {@link
     * IERSConventions#IERS_1996 IERS 1996} conventions, and hence the {@link
     * IERSConventions IERS conventions} cannot be freely chosen here.
     * </p>
     * @param applyEOPCorr if true, EOP corrections are applied (EME2000/GCRF bias compensation)
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     */
    public static FactoryManagedFrame getMOD(final boolean applyEOPCorr)
        throws OrekitException {
        return getMOD(IERSConventions.IERS_1996, applyEOPCorr);
    }

    /** Get the MOD reference frame.
     * @param conventions IERS conventions to apply
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     */
    public static FactoryManagedFrame getMOD(final IERSConventions conventions)
        throws OrekitException {
        return getMOD(conventions, true);
    }

    /** Get the MOD reference frame.
     * <p>
     * The applyEOPCorr parameter is available mainly for testing purposes or for
     * consistency with legacy software that don't handle EOP correction parameters.
     * Beware that setting this parameter to {@code false} leads to crude accuracy
     * (order of magnitudes for errors might be above 1m in LEO and 10m in GEO).
     * For this reason, setting this parameter to false is restricted to {@link
     * IERSConventions#IERS_1996 IERS 1996} conventions, and hence this method is private.
     * </p>
     * @param conventions IERS conventions to apply
     * @param applyEOPCorr if true, EOP corrections are applied (EME2000/GCRF bias compensation)
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     */
    private static FactoryManagedFrame getMOD(final IERSConventions conventions, final boolean applyEOPCorr)
        throws OrekitException {

        if (conventions != IERSConventions.IERS_1996 && !applyEOPCorr) {
            // this should never happen as this method is private and called
            // only above with controlled input
            throw OrekitException.createInternalError(null);
        }

        synchronized (FramesFactory.class) {

            final Predefined factoryKey;
            final Frame parent;
            switch (conventions) {
            case IERS_1996 :
                factoryKey = applyEOPCorr ? Predefined.MOD_CONVENTIONS_1996 : Predefined.MOD_WITHOUT_EOP_CORRECTIONS;
                parent     = applyEOPCorr ? FramesFactory.getGCRF() : FramesFactory.getEME2000();
                break;
            case IERS_2003 :
                factoryKey = Predefined.MOD_CONVENTIONS_2003;
                // in IERS conventions 2003, the precession angles zetaA, thetaA and zA
                // from equation 33 are computed from EME2000, not from GCRF
                parent     = FramesFactory.getEME2000();
                break;
            case IERS_2010 :
                factoryKey = Predefined.MOD_CONVENTIONS_2010;
                // precession angles epsilon0, psiA, omegaA and chiA
                // from equations 5.39 and 5.40 are computed from EME2000
                parent     = FramesFactory.getEME2000();
                break;
            default :
                // this should never happen
                throw OrekitException.createInternalError(null);
            }

            // try to find an already built frame
            FactoryManagedFrame frame = FRAMES.get(factoryKey);

            if (frame == null) {
                // it's the first time we need this frame, build it and store it
                frame = new FactoryManagedFrame(parent, new MODProvider(conventions), true, factoryKey);
                FRAMES.put(factoryKey, frame);
            }

            return frame;

        }
    }

    /** Get the MOD reference frame.
     * <p>
     * The applyEOPCorr parameter is available mainly for testing purposes or for
     * consistency with legacy software that don't handle EOP correction parameters.
     * Beware that setting this parameter to {@code false} leads to crude accuracy
     * (order of magnitudes for errors might be above 1m in LEO and 10m in GEO).
     * </p>
     * @param applyEOPCorr if true, EOP corrections are applied (EME2000/GCRF bias compensation)
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     * @deprecated as of 6.0, replaced by {@link #getMOD(IERSConventions)}
     */
    @Deprecated
    public static FactoryManagedFrame getMEME(final boolean applyEOPCorr) throws OrekitException {
        return getMOD(IERSConventions.IERS_1996, applyEOPCorr);
    }

    /** Get the TEME reference frame.
     * <p>
     * The TEME frame is used for the SGP4 model in TLE propagation. This frame has <em>no</em>
     * official definition and there are some ambiguities about whether it should be used
     * as "of date" or "of epoch". This frame should therefore be used <em>only</em> for
     * TLE propagation and not for anything else, as recommended by the CCSDS Orbit Data Message
     * blue book.
     * </p>
     * @return the selected reference frame singleton.
     * @exception OrekitException if data embedded in the library cannot be read
     */
    public static FactoryManagedFrame getTEME() throws OrekitException {
        synchronized (FramesFactory.class) {

            // try to find an already built frame
            final Predefined factoryKey = Predefined.TEME;
            FactoryManagedFrame frame = FRAMES.get(factoryKey);

            if (frame == null) {
                // it's the first time we need this frame, build it and store it
                final Frame tod = getTOD(IERSConventions.IERS_1996, false, true);
                final InterpolatingTransformProvider todInterpolating =
                        (InterpolatingTransformProvider) tod.getTransformProvider();
                final TEMEProvider temeRaw = new TEMEProvider(IERSConventions.IERS_1996, null);
                final TransformProvider temeInterpolating =
                        new InterpolatingTransformProvider(temeRaw, true, false,
                                                           AbsoluteDate.PAST_INFINITY, AbsoluteDate.FUTURE_INFINITY,
                                                           todInterpolating.getGridPoints(), todInterpolating.getStep(),
                                                           OrekitConfiguration.getCacheSlotsNumber(),
                                                           Constants.JULIAN_YEAR, 30 * Constants.JULIAN_DAY);

                frame = new FactoryManagedFrame(tod, temeInterpolating, true, factoryKey);
                FRAMES.put(factoryKey, frame);
            }

            return frame;

        }
    }

    /** Get the transform between two frames, suppressing all interpolation.
     * <p>
     * This method is similar to {@link Frame#getTransformTo(Frame, AbsoluteDate)}
     * except it removes the performance enhancing interpolation features that are
     * added by the {@link FramesFactory factory} to some frames, in order to focus
     * on accuracy. The interpolation features are intended to save processing time
     * by avoiding doing some lengthy computation like nutation evaluation at each
     * time step and caching some results. This method can be used to avoid this,
     * when very high accuracy is desired, or for testing purposes. It should be
     * used with care, as doing the full computation is <em>really</em> costly for
     * some frames.
     * </p>
     * @param from frame from which transformation starts
     * @param to frame to which transformation ends
     * @param date date of the transform
     * @return transform between the two frames, avoiding interpolation
     * @throws OrekitException if transform cannot be computed at this date
     */
    public static Transform getNonInterpolatingTransform(final Frame from, final Frame to,
                                                         final AbsoluteDate date)
        throws OrekitException {

        // common ancestor to both frames in the frames tree
        Frame currentF = from.getDepth() > to.getDepth() ? from.getAncestor(from.getDepth() - to.getDepth()) : from;
        Frame currentT = from.getDepth() > to.getDepth() ? to : to.getAncestor(to.getDepth() - from.getDepth());
        while (currentF != currentT) {
            currentF = currentF.getParent();
            currentT = currentT.getParent();
        }
        final Frame common = currentF;

        // transform from common to instance
        Transform commonToInstance = Transform.IDENTITY;
        for (Frame frame = from; frame != common; frame = frame.getParent()) {
            TransformProvider provider = frame.getTransformProvider();
            while (provider instanceof InterpolatingTransformProvider) {
                provider = ((InterpolatingTransformProvider) provider).getRawProvider();
            }
            commonToInstance =
                    new Transform(date, provider.getTransform(date), commonToInstance);
        }

        // transform from destination up to common
        Transform commonToDestination = Transform.IDENTITY;
        for (Frame frame = to; frame != common; frame = frame.getParent()) {
            commonToDestination =
                    new Transform(date, frame.getTransformProvider().getTransform(date), commonToDestination);
        }

        // transform from instance to destination via common
        return new Transform(date, commonToInstance.getInverse(), commonToDestination);

    }

}