Java tutorial
/* Copyright 2002-2015 CS Systmes d'Information * Licensed to CS Systmes 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.utils; import org.apache.commons.math3.analysis.UnivariateFunction; import org.apache.commons.math3.analysis.differentiation.DerivativeStructure; import org.apache.commons.math3.analysis.differentiation.FiniteDifferencesDifferentiator; import org.apache.commons.math3.analysis.differentiation.UnivariateDifferentiableFunction; import org.apache.commons.math3.util.MathUtils; import org.junit.Assert; import org.junit.Before; import org.junit.Test; import org.orekit.Utils; import org.orekit.errors.OrekitException; import org.orekit.frames.EOPHistory; import org.orekit.frames.FramesFactory; import org.orekit.time.AbsoluteDate; import org.orekit.time.DateComponents; import org.orekit.time.TimeFunction; import org.orekit.time.TimeScale; import org.orekit.time.TimeScalesFactory; import org.orekit.time.UT1Scale; public class IERSConventionsTest { @Test public void testConventionsNumber() { Assert.assertEquals(3, IERSConventions.values().length); } @Test public void testIERS1996NutationAngles() throws OrekitException { // the reference value has been computed using the March 2012 version of the SOFA library // http://www.iausofa.org/2012_0301_C.html, with the following code // // double utc1, utc2, tai1, tai2, tt1, tt2, dpsi, deps, epsa; // // // 2004-02-14:00:00:00Z, MJD = 53049, UT1-UTC = -0.4093509 // utc1 = DJM0 + 53049.0; // utc2 = 0.0; // iauUtctai(utc1, utc2, &tai1, &tai2); // iauTaitt(tai1, tai2, &tt1, &tt2); // // iauNut80(tt1, tt2, &dpsi, &deps); // epsa = iauObl80(tt1, tt2); // // printf("iauNut80(%.20g, %.20g, dpsi, deps)\n --> %.20g %.20g\n", // tt1, tt2, dpsi, deps); // printf("iau0bl80(%.20g, %.20g)\n --> %.20g\n", // tt1, tt2, epsa); // // the output of this test reads: // iauNut80(2453049.5, 0.00074287037037037029902, dpsi, deps) // --> -5.3059154211478291722e-05 3.2051803135750973851e-05 // iau0bl80(2453049.5, 0.00074287037037037029902) // --> 0.40908345528446415917 // the thresholds below have been set up large enough to have the test pass with // the default Orekit setting and the reference SOFA setting. There are implementation // differences between the two libraries, as the Delaunay parameters are not the // same (in Orekit, we are compliant with page 23 in chapter 5 of IERS conventions 1996. // If the content of the IERS-conventions/1996/nutation-arguments.txt file by Orekit is // changed to match SOFA setting instead of IERS conventions as follows: // // # Mean Anomaly of the Moon // F1 l = 485866.733 + 1717915922.633t + 31.310t + 0.064t // // # Mean Anomaly of the Sun // F2 l' = 1287099.804 + 129596581.224t 0.577t 0.012t // // # L // F3 F = 335778.877 + 1739527263.137t 13.257t + 0.011t // // # Mean Elongation of the Moon from the Sun // F4 D = 1072261.307 + 1602961601.328t 6.891t + 0.019t // // # Mean Longitude of the Ascending Node of the Moon // F5 = 450160.280 6962890.539t + 7.455t + 0.008t // // then the thresholds for the test can be reduced to 3e-13 for and 7e-14 for . // We decided to stick with IERS published reference values for the default Orekit setting. // The differences are nevertheless quite small (4.8e-11 radians is sub-millimeter level // in low Earth orbit). AbsoluteDate date = new AbsoluteDate(2004, 2, 14, TimeScalesFactory.getUTC()); double[] angles = IERSConventions.IERS_1996.getNutationFunction().value(date); Assert.assertEquals(-5.3059154211478291722e-05, angles[0], 4.8e-11); // 3e-13 with SOFA values Assert.assertEquals(3.2051803135750973851e-05, angles[1], 1.3e-11); // 7e-14 with SOFA values double epsilonA = IERSConventions.IERS_1996.getMeanObliquityFunction().value(date); Assert.assertEquals(0.40908345528446415917, epsilonA, 1.0e-16); } @Test public void testGMST82Derivative() throws OrekitException { final TimeScale ut1 = TimeScalesFactory.getUT1(IERSConventions.IERS_1996, true); checkDerivative(IERSConventions.IERS_1996.getGMSTFunction(ut1), AbsoluteDate.J2000_EPOCH.shiftedBy(-0.4 * Constants.JULIAN_DAY), 0.8 * Constants.JULIAN_DAY, 600.0, 10.0, 1.0e-12); } @Test public void testGMST82Sofa() throws OrekitException { // the reference value has been computed using the March 2012 version of the SOFA library // http://www.iausofa.org/2012_0301_C.html, with the following code // // double utc1, utc2, ut11, ut12, gmst; // // // 2004-02-14:00:00:00Z, MJD = 53049, UT1-UTC = -0.4093509 // utc1 = DJM0 + 53049.0; // utc2 = 0.0; // iauUtcut1(utc1, utc2, -0.4093509, &ut11, &ut12); // gmst = iauGmst82(ut11, ut12); // printf("iaugmst82(%.20g, %.20g)\n --> %.20g\n", ut11, ut12, gmst); // // // 2004-02-29:00:00:00Z, MJD = 53064, UT1-UTC = -0.4175723 // utc1 = DJM0 + 53064.0; // utc2 = 0.0; // iauUtcut1(utc1, utc2, -0.4175723, &ut11, &ut12); // gmst = iauGmst82(ut11, ut12); // printf("iaugmst82(%.20g, %.20g)\n --> %.20g\n", ut11, ut12, gmst); // // the output of this test reads: // iaugmst82(2453049.5, -4.7378576388888813016e-06) // --> 2.5021977627453466653 // iaugmst82(2453064.5, -4.8330127314815448519e-06) // --> 2.7602390405411441066 final TimeScale ut1 = TimeScalesFactory.getUT1(IERSConventions.IERS_1996, true); final TimeFunction<DerivativeStructure> gmst82 = IERSConventions.IERS_1996.getGMSTFunction(ut1); AbsoluteDate date = new AbsoluteDate(2004, 2, 14, TimeScalesFactory.getUTC()); double gmst = MathUtils.normalizeAngle(gmst82.value(date).getValue(), 0.0); Assert.assertEquals(2.5021977627453466653, gmst, 2.0e-13); date = new AbsoluteDate(2004, 2, 29, TimeScalesFactory.getUTC()); gmst = MathUtils.normalizeAngle(gmst82.value(date).getValue(), 0.0); Assert.assertEquals(2.7602390405411441066, gmst, 4.0e-13); } @Test public void testGMST00Derivative() throws OrekitException { final TimeScale ut1 = TimeScalesFactory.getUT1(IERSConventions.IERS_2003, true); checkDerivative(IERSConventions.IERS_2003.getGMSTFunction(ut1), AbsoluteDate.J2000_EPOCH.shiftedBy(-0.4 * Constants.JULIAN_DAY), 0.8 * Constants.JULIAN_DAY, 600.0, 10.0, 1.0e-12); } @Test public void testGMST00Sofa() throws OrekitException { // the reference value has been computed using the March 2012 version of the SOFA library // http://www.iausofa.org/2012_0301_C.html, with the following code // // double utc1, utc2, tai1, tai2, tt1, tt2, ut11, ut12, gmst; // // // 2004-02-14:00:00:00Z, MJD = 53049, UT1-UTC = -0.4093509 // utc1 = DJM0 + 53049.0; // utc2 = 0.0; // iauUtctai(utc1, utc2, &tai1, &tai2); // iauTaitt(tai1, tai2, &tt1, &tt2); // iauUtcut1(utc1, utc2, -0.4093509, &ut11, &ut12); // gmst = iauGmst00(ut11, ut12, tt1, tt2); // printf("iaugmst00(%.20g, %.20g, %.20g, %.20g)\n --> %.20g\n", // ut11, ut12, tt1, tt2, gmst); // // // 2004-02-29:00:00:00Z, MJD = 53064, UT1-UTC = -0.4175723 // utc1 = DJM0 + 53064.0; // utc2 = 0.0; // iauUtctai(utc1, utc2, &tai1, &tai2); // iauTaitt(tai1, tai2, &tt1, &tt2); // iauUtcut1(utc1, utc2, -0.4175723, &ut11, &ut12); // gmst = iauGmst00(ut11, ut12, tt1, tt2); // printf("iaugmst00(%.20g, %.20g, %.20g, %.20g)\n --> %.20g\n", // ut11, ut12, tt1, tt2, gmst); // // the output of this test reads: // iaugmst00(2453049.5, -4.7378576388888813016e-06, 2453049.5, 0.00074287037037037029902) // --> 2.5021977786243789765 // iaugmst00(2453064.5, -4.8330127314815448519e-06, 2453064.5, 0.00074287037037037029902) // --> 2.7602390558728311376 final TimeScale ut1 = TimeScalesFactory.getUT1(IERSConventions.IERS_2003, true); final TimeFunction<DerivativeStructure> gmst00 = IERSConventions.IERS_2003.getGMSTFunction(ut1); AbsoluteDate date = new AbsoluteDate(2004, 2, 14, TimeScalesFactory.getUTC()); double gmst = MathUtils.normalizeAngle(gmst00.value(date).getValue(), 0.0); Assert.assertEquals(2.5021977786243789765, gmst, 1.0e-15); date = new AbsoluteDate(2004, 2, 29, TimeScalesFactory.getUTC()); gmst = MathUtils.normalizeAngle(gmst00.value(date).getValue(), 0.0); Assert.assertEquals(2.7602390558728311376, gmst, 1.0e-15); } @Test public void testGMST06Derivative() throws OrekitException { final TimeScale ut1 = TimeScalesFactory.getUT1(IERSConventions.IERS_2010, true); checkDerivative(IERSConventions.IERS_2010.getGMSTFunction(ut1), AbsoluteDate.J2000_EPOCH.shiftedBy(-0.4 * Constants.JULIAN_DAY), 0.8 * Constants.JULIAN_DAY, 600.0, 10.0, 1.0e-12); } @Test public void testGMST06Sofa() throws OrekitException { // the reference value has been computed using the March 2012 version of the SOFA library // http://www.iausofa.org/2012_0301_C.html, with the following code // // double utc1, utc2, tai1, tai2, tt1, tt2, ut11, ut12, gmst; // // // 2004-02-14:00:00:00Z, MJD = 53049, UT1-UTC = -0.4093509 // utc1 = DJM0 + 53049.0; // utc2 = 0.0; // iauUtctai(utc1, utc2, &tai1, &tai2); // iauTaitt(tai1, tai2, &tt1, &tt2); // iauUtcut1(utc1, utc2, -0.4093509, &ut11, &ut12); // gmst = iauGmst06(ut11, ut12, tt1, tt2); // printf("iaugmst06(%.20g, %.20g, %.20g, %.20g)\n --> %.20g\n", // ut11, ut12, tt1, tt2, gmst); // // // 2004-02-29:00:00:00Z, MJD = 53064, UT1-UTC = -0.4175723 // utc1 = DJM0 + 53064.0; // utc2 = 0.0; // iauUtctai(utc1, utc2, &tai1, &tai2); // iauTaitt(tai1, tai2, &tt1, &tt2); // iauUtcut1(utc1, utc2, -0.4175723, &ut11, &ut12); // gmst = iauGmst06(ut11, ut12, tt1, tt2); // printf("iaugmst06(%.20g, %.20g, %.20g, %.20g)\n --> %.20g\n", // ut11, ut12, tt1, tt2, gmst); // // the output of this test reads: // iaugmst06(2453049.5, -4.7378576388888813016e-06, 2453049.5, 0.00074287037037037029902) // --> 2.5021977784096232078 // iaugmst06(2453064.5, -4.8330127314815448519e-06, 2453064.5, 0.00074287037037037029902) // --> 2.7602390556555129741 final TimeScale ut1 = TimeScalesFactory.getUT1(IERSConventions.IERS_2010, true); final TimeFunction<DerivativeStructure> gmst06 = IERSConventions.IERS_2010.getGMSTFunction(ut1); AbsoluteDate date = new AbsoluteDate(2004, 2, 14, TimeScalesFactory.getUTC()); double gmst = MathUtils.normalizeAngle(gmst06.value(date).getValue(), 0.0); Assert.assertEquals(2.5021977784096232078, gmst, 1.0e-15); date = new AbsoluteDate(2004, 2, 29, TimeScalesFactory.getUTC()); gmst = MathUtils.normalizeAngle(gmst06.value(date).getValue(), 0.0); Assert.assertEquals(2.7602390556555129741, gmst, 3.0e-15); } @Test public void testERADerivative() throws OrekitException { final TimeScale ut1 = TimeScalesFactory.getUT1(IERSConventions.IERS_2010, true); checkDerivative(IERSConventions.IERS_2010.getGMSTFunction(ut1), AbsoluteDate.J2000_EPOCH.shiftedBy(-0.4 * Constants.JULIAN_DAY), 0.8 * Constants.JULIAN_DAY, 1800.0, 10.0, 1.0e-12); } @Test public void testERASofa() throws OrekitException { // the reference value has been computed using the March 2012 version of the SOFA library // http://www.iausofa.org/2012_0301_C.html, with the following code // // double tai1, tai2, ut11, ut12, era, taiutc; // taiutc = 32.0; // // // 2004-02-14:00:00:00Z, MJD = 53049, UT1-UTC = -0.4093509 // tai1 = DJM0 + 53049.0; // tai2 = taiutc / DAYSEC; // iauTaiut1(tai1, tai2, -0.4093509 - taiutc, &ut11, &ut12); // era = iauEra00(ut11, ut12); // printf("iauera00(%.20g, %.20g)\n --> %.20g\n", ut11, ut12, era); // // // 2004-02-29:00:00:00Z, MJD = 53064, UT1-UTC = -0.4175723 // tai1 = DJM0 + 53064.0; // tai2 = taiutc / DAYSEC; // iauTaiut1(tai1, tai2, -0.4175723 - taiutc, &ut11, &ut12); // era = iauEra00(ut11, ut12); // printf("iauera00(%.20g, %.20g)\n --> %.20g\n", ut11, ut12, era); // // the output of this test reads: // iauera00(2453049.5, -4.7378576388888813016e-06) // --> 2.5012766511308228701 // iauera00(2453064.5, -4.8330127314815448519e-06) // --> 2.7593087452455264952 final TimeScale ut1 = TimeScalesFactory.getUT1(IERSConventions.IERS_2003, true); final TimeFunction<DerivativeStructure> era00 = IERSConventions.IERS_2003 .getEarthOrientationAngleFunction(ut1); AbsoluteDate date = new AbsoluteDate(2004, 2, 14, TimeScalesFactory.getUTC()); double era = MathUtils.normalizeAngle(era00.value(date).getValue(), 0.0); Assert.assertEquals(2.5012766511308228701, era, 1.0e-15); date = new AbsoluteDate(2004, 2, 29, TimeScalesFactory.getUTC()); era = MathUtils.normalizeAngle(era00.value(date).getValue(), 0.0); Assert.assertEquals(2.7593087452455264952, era, 1.0e-15); } @Test public void testGST94Derivative() throws OrekitException { EOPHistory eopHistory = FramesFactory.getEOPHistory(IERSConventions.IERS_1996, true); checkDerivative(IERSConventions.IERS_1996.getGASTFunction(TimeScalesFactory.getUT1(eopHistory), eopHistory), AbsoluteDate.J2000_EPOCH.shiftedBy(-0.4 * Constants.JULIAN_DAY), 0.8 * Constants.JULIAN_DAY, 1800.0, 10.0, 2.0e-12); } @Test public void testGST94Sofa() throws OrekitException { // the reference value has been computed using the March 2012 version of the SOFA library // http://www.iausofa.org/2012_0301_C.html, with the following code // // double utc1, utc2, ut11, ut12, tai1, tai2, tt1, tt2, gmst82, eqeq94; // // // 2004-02-14:00:00:00Z, MJD = 53049, UT1-UTC = -0.4093509 // utc1 = DJM0 + 53049.0; // utc2 = 0.0; // iauUtcut1(utc1, utc2, -0.4093509, &ut11, &ut12); // iauUtctai(utc1, utc2, &tai1, &tai2); // iauTaitt(tai1, tai2, &tt1, &tt2); // gmst82 = iauGmst82(ut11, ut12); // eqeq94 = iauEqeq94(tt1, tt2); // printf("iauGmst82(%.20g, %.20g)\n --> %.20g\n", ut11, ut12, gmst82); // printf("iauEqeq94(%.20g, %.20g)\n --> %.20g\n", tt1, tt2, eqeq94); // printf(" gmst82 + eqeq94 --> %.20g\n", gmst82 + eqeq94); // // // 2004-02-29:00:00:00Z, MJD = 53064, UT1-UTC = -0.4175723 // utc1 = DJM0 + 53064.0; // utc2 = 0.0; // iauUtcut1(utc1, utc2, -0.4175723, &ut11, &ut12); // iauUtctai(utc1, utc2, &tai1, &tai2); // iauTaitt(tai1, tai2, &tt1, &tt2); // gmst82 = iauGmst82(ut11, ut12); // eqeq94 = iauEqeq94(tt1, tt2); // printf("iauGmst82(%.20g, %.20g)\n --> %.20g\n", ut11, ut12, gmst82); // printf("iauEqeq94(%.20g, %.20g)\n --> %.20g\n", tt1, tt2, eqeq94); // printf(" gmst82 + eqeq94 --> %.20g\n", gmst82 + eqeq94); // // the output of this test reads: // iauGmst82(2453049.5, -4.7378576388888813016e-06) // --> 2.5021977627453466653 // iauEqeq94(2453049.5, 0.00074287037037037029902) // --> -4.8671604682267536886e-05 // gmst82 + eqeq94 --> 2.5021490911406645274 // iauGmst82(2453064.5, -4.8330127314815448519e-06) // --> 2.7602390405411441066 // iauEqeq94(2453064.5, 0.00074287037037037029902) // --> -4.8893054690771762302e-05 // gmst82 + eqeq94 --> 2.7601901474864534158 // As can be seen in the code above, we didn't call iauGst94, because as // stated in the function header comment in SOFA source files: // "accuracy has been compromised for the sake of // convenience in that UT is used instead of TDB (or TT) to compute // the equation of the equinoxes." // So we rather performed the date conversion and then called ourselves iauGmst82 // with a date in UTC and eqe94 with a date in TT, restoring full accuracy in the // SOFA computation for this test. // The thresholds below have been set up large enough to have the test pass with // the default Orekit setting and the reference SOFA setting. There are implementation // differences between the two libraries, as the Delaunay parameters are not the // same (in Orekit, we are compliant with page 23 in chapter 5 of IERS conventions 1996. // If the content of the IERS-conventions/1996/nutation-arguments.txt file by Orekit is // changed to match SOFA setting instead of IERS conventions as follows: // // # Mean Anomaly of the Moon // F1 l = 485866.733 + 1717915922.633t + 31.310t + 0.064t // // # Mean Anomaly of the Sun // F2 l' = 1287099.804 + 129596581.224t 0.577t 0.012t // // # L // F3 F = 335778.877 + 1739527263.137t 13.257t + 0.011t // // # Mean Elongation of the Moon from the Sun // F4 D = 1072261.307 + 1602961601.328t 6.891t + 0.019t // // # Mean Longitude of the Ascending Node of the Moon // F5 = 450160.280 6962890.539t + 7.455t + 0.008t // // then the thresholds for the test can be reduced to 4.2e-13 for the first test, // and 4.7e-13 for the second test. // We decided to stick with IERS published reference values for the default Orekit setting. // The differences are nevertheless quite small (9e-11 radians is sub-millimeter level // in low Earth orbit). Utils.setLoaders(IERSConventions.IERS_1996, Utils.buildEOPList(IERSConventions.IERS_1996, new double[][] { { 53047, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53048, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53049, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53050, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53051, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53052, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53053, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53054, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, // ... { 53059, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53060, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53061, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53062, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53063, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53064, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53065, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53066, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } })); EOPHistory eopHistory = FramesFactory.getEOPHistory(IERSConventions.IERS_1996, true); final TimeFunction<DerivativeStructure> gst94 = IERSConventions.IERS_1996 .getGASTFunction(TimeScalesFactory.getUT1(eopHistory), eopHistory); AbsoluteDate date = new AbsoluteDate(2004, 2, 14, TimeScalesFactory.getUTC()); double gst = MathUtils.normalizeAngle(gst94.value(date).getValue(), 0.0); Assert.assertEquals(2.5021490911406645274, gst, 4.4e-11); // 4.2e-13 with SOFA values date = new AbsoluteDate(2004, 2, 29, TimeScalesFactory.getUTC()); gst = MathUtils.normalizeAngle(gst94.value(date).getValue(), 0.0); Assert.assertEquals(2.7601901474864534158, gst, 9.0e-11); // 4.7e-13 with SOFA values } @Test public void testGST00ADerivative() throws OrekitException { EOPHistory eopHistory = FramesFactory.getEOPHistory(IERSConventions.IERS_2003, true); checkDerivative(IERSConventions.IERS_2003.getGASTFunction(TimeScalesFactory.getUT1(eopHistory), eopHistory), AbsoluteDate.J2000_EPOCH.shiftedBy(-0.4 * Constants.JULIAN_DAY), 0.8 * Constants.JULIAN_DAY, 1800.0, 10.0, 1.0e-11); } @Test public void testGST00ASofa() throws OrekitException { // the reference value has been computed using the March 2012 version of the SOFA library // http://www.iausofa.org/2012_0301_C.html, with the following code // // double utc1, utc2, tai1, tai2, tt1, tt2, ut11, ut12, gst; // // // 2004-02-14:00:00:00Z, MJD = 53049, UT1-UTC = -0.4093509 // utc1 = DJM0 + 53049.0; // utc2 = 0.0; // iauUtctai(utc1, utc2, &tai1, &tai2); // iauTaitt(tai1, tai2, &tt1, &tt2); // iauUtcut1(utc1, utc2, -0.4093509, &ut11, &ut12); // gst = iauGst00a(ut11, ut12, tt1, tt2); // printf("iaugst00a(%.20g, %.20g, %.20g, %.20g)\n --> %.20g\n", // ut11, ut12, tt1, tt2, gst); // // // 2004-02-29:00:00:00Z, MJD = 53064, UT1-UTC = -0.4175723 // utc1 = DJM0 + 53064.0; // utc2 = 0.0; // iauUtctai(utc1, utc2, &tai1, &tai2); // iauTaitt(tai1, tai2, &tt1, &tt2); // iauUtcut1(utc1, utc2, -0.4175723, &ut11, &ut12); // gst = iauGst00a(ut11, ut12, tt1, tt2); // printf("iaugst00a(%.20g, %.20g, %.20g, %.20g)\n --> %.20g\n", // ut11, ut12, tt1, tt2, gst); // // the output of this test reads: // iaugst00a(2453049.5, -4.7378576388888813016e-06, 2453049.5, 0.00074287037037037029902) // --> 2.5021491024360624778 // iaugst00a(2453064.5, -4.8330127314815448519e-06, 2453064.5, 0.00074287037037037029902) // --> 2.7601901615614221619 Utils.setLoaders(IERSConventions.IERS_2003, Utils.buildEOPList(IERSConventions.IERS_2003, new double[][] { { 53047, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53048, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53049, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53050, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53051, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53052, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53053, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53054, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, // ... { 53059, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53060, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53061, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53062, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53063, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53064, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53065, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53066, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } })); EOPHistory eopHistory = FramesFactory.getEOPHistory(IERSConventions.IERS_2003, true); final TimeFunction<DerivativeStructure> gst00a = IERSConventions.IERS_2003 .getGASTFunction(TimeScalesFactory.getUT1(eopHistory), eopHistory); AbsoluteDate date = new AbsoluteDate(2004, 2, 14, TimeScalesFactory.getUTC()); double gst = MathUtils.normalizeAngle(gst00a.value(date).getValue(), 0.0); Assert.assertEquals(2.5021491024360624778, gst, 2.0e-13); date = new AbsoluteDate(2004, 2, 29, TimeScalesFactory.getUTC()); gst = MathUtils.normalizeAngle(gst00a.value(date).getValue(), 0.0); Assert.assertEquals(2.7601901615614221619, gst, 3.0e-13); } @Test public void testGST06Derivative() throws OrekitException { EOPHistory eopHistory = FramesFactory.getEOPHistory(IERSConventions.IERS_2010, true); checkDerivative(IERSConventions.IERS_2010.getGASTFunction(TimeScalesFactory.getUT1(eopHistory), eopHistory), AbsoluteDate.J2000_EPOCH.shiftedBy(-0.4 * Constants.JULIAN_DAY), 0.8 * Constants.JULIAN_DAY, 1800.0, 10.0, 1.0e-11); } @Test public void testGST06Sofa() throws OrekitException { // the reference value has been computed using the March 2012 version of the SOFA library // http://www.iausofa.org/2012_0301_C.html, with the following code // // double utc1, utc2, tai1, tai2, tt1, tt2, ut11, ut12, gst; // // // 2004-02-14:00:00:00Z, MJD = 53049, UT1-UTC = -0.4093509 // utc1 = DJM0 + 53049.0; // utc2 = 0.0; // iauUtctai(utc1, utc2, &tai1, &tai2); // iauTaitt(tai1, tai2, &tt1, &tt2); // iauUtcut1(utc1, utc2, -0.4093509, &ut11, &ut12); // gst = iauGst06a(ut11, ut12, tt1, tt2); // printf("iaugst06a(%.20g, %.20g, %.20g, %.20g)\n --> %.20g\n", // ut11, ut12, tt1, tt2, gst); // // // 2004-02-29:00:00:00Z, MJD = 53064, UT1-UTC = -0.4175723 // utc1 = DJM0 + 53064.0; // utc2 = 0.0; // iauUtctai(utc1, utc2, &tai1, &tai2); // iauTaitt(tai1, tai2, &tt1, &tt2); // iauUtcut1(utc1, utc2, -0.4175723, &ut11, &ut12); // gst = iauGst06a(ut11, ut12, tt1, tt2); // printf("iaugst06a(%.20g, %.20g, %.20g, %.20g)\n --> %.20g\n", // ut11, ut12, tt1, tt2, gst); // // the output of this test reads: // iaugst06a(2453049.5, -4.7378576388888813016e-06, 2453049.5, 0.00074287037037037029902) // --> 2.5021491022006503435 // iaugst06a(2453064.5, -4.8330127314815448519e-06, 2453064.5, 0.00074287037037037029902) // --> 2.7601901613234058885 Utils.setLoaders(IERSConventions.IERS_2010, Utils.buildEOPList(IERSConventions.IERS_2010, new double[][] { { 53047, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53048, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53049, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53050, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53051, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53052, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53053, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53054, -0.4093509, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, // ... { 53059, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53060, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53061, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53062, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53063, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53064, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53065, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 }, { 53066, -0.4175723, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 } })); EOPHistory eopHistory = FramesFactory.getEOPHistory(IERSConventions.IERS_2010, true); final TimeFunction<DerivativeStructure> gst06 = IERSConventions.IERS_2010 .getGASTFunction(TimeScalesFactory.getUT1(eopHistory), eopHistory); AbsoluteDate date = new AbsoluteDate(2004, 2, 14, TimeScalesFactory.getUTC()); double gst = MathUtils.normalizeAngle(gst06.value(date).getValue(), 0.0); Assert.assertEquals(2.5021491022006503435, gst, 1.3e-12); date = new AbsoluteDate(2004, 2, 29, TimeScalesFactory.getUTC()); gst = MathUtils.normalizeAngle(gst06.value(date).getValue(), 0.0); Assert.assertEquals(2.7601901613234058885, gst, 1.2e-12); } @Test public void testGMST2000vs82() throws OrekitException { final TimeFunction<DerivativeStructure> gmst82 = IERSConventions.IERS_1996 .getGMSTFunction(TimeScalesFactory.getUT1(IERSConventions.IERS_1996, true)); final TimeFunction<DerivativeStructure> gmst00 = IERSConventions.IERS_2003 .getGMSTFunction(TimeScalesFactory.getUT1(IERSConventions.IERS_2003, true)); for (double dt = 0; dt < 10 * Constants.JULIAN_YEAR; dt += 10 * Constants.JULIAN_DAY) { AbsoluteDate date = new AbsoluteDate(AbsoluteDate.J2000_EPOCH, dt); DerivativeStructure delta = gmst00.value(date).subtract(gmst82.value(date)); // GMST82 and GMST2000 are similar to about 15 milli-arcseconds between 2000 and 2010 Assert.assertEquals(0.0, MathUtils.normalizeAngle(delta.getValue(), 0.0), 7.1e-8); Assert.assertEquals(0.0, delta.getPartialDerivative(1), 1.0e-15); } } @Test public void testGMST2000vs2006() throws OrekitException { final UT1Scale ut1 = TimeScalesFactory.getUT1(IERSConventions.IERS_2010, true); final TimeFunction<DerivativeStructure> gmst00 = IERSConventions.IERS_2003.getGMSTFunction(ut1); final TimeFunction<DerivativeStructure> gmst06 = IERSConventions.IERS_2010.getGMSTFunction(ut1); for (double dt = 0; dt < 10 * Constants.JULIAN_YEAR; dt += 10 * Constants.JULIAN_DAY) { AbsoluteDate date = new AbsoluteDate(AbsoluteDate.J2000_EPOCH, dt); DerivativeStructure delta = gmst06.value(date).subtract(gmst00.value(date)); // GMST2006 and GMST2000 are similar to about 0.15 milli-arcseconds between 2000 and 2010 Assert.assertEquals(0.0, MathUtils.normalizeAngle(delta.getValue(), 0.0), 7e-10); Assert.assertEquals(0.0, delta.getPartialDerivative(1), 3.0e-18); } } @Test public void testIAU1994ResolutionC7Discontinuity() throws OrekitException { TimeFunction<double[]> nutation = IERSConventions.IERS_1996.getNutationFunction(); AbsoluteDate switchDate = new AbsoluteDate(1997, 2, 27, TimeScalesFactory.getUTC()); double h = 0.01; for (double dt = -1.0 - h / 2; dt <= 1.0 + h / 2; dt += h) { AbsoluteDate d = switchDate.shiftedBy(dt); final double currentCorr = nutation.value(d)[2]; if (dt < 0) { Assert.assertEquals(0.0, currentCorr, 1.0e-20); } else { Assert.assertEquals(-7.87098e-12, currentCorr, 1.0e-15); } } } @Test public void testTidalCorrection1996() throws OrekitException { // the reference value has been computed using interp_old.f from // ftp://hpiers.obspm.fr/iers/models/ with the following driver program: // // PROGRAM OR_TEST // IMPLICIT NONE // INTEGER J, N // PARAMETER (N = 4) // INTEGER MJD(N) // DOUBLE PRECISION TTTAI, TAIUTC // PARAMETER (TAIUTC = 32.000D0) // PARAMETER (TTTAI = 32.184D0) // DOUBLE PRECISION RJD(N), X(N), Y(N), T(N), H(5) // DOUBLE PRECISION RJDINT, XINT, YINT, TINT, CORX, CORY, CORT // DATA(MJD(J), T(J), X(J), Y(J), // & J=1,4)/ // & 52653, -0.2979055D0, -0.120344D0, 0.217095D0, // & 52654, -0.2984238D0, -0.121680D0, 0.219400D0, // & 52655, -0.2987682D0, -0.122915D0, 0.221760D0, // & 52656, -0.2989957D0, -0.124248D0, 0.224294D0/ // C // DATA(H(J),J=1,5)/0.0D0, 3600.0D0, 7200.0D0, 43200.0D0, 86400.0D0/ // C // DO 10 J = 1, N // RJD(J) = MJD(J) + (TTTAI + TAIUTC) / 86400.0D0 // 10 CONTINUE // C // DO 20 J = 1, 5 // RJDINT = RJD(2) + H(J) / 86400.0D0 // CALL INTERP(RJD,X,Y,T,N,RJDINT,XINT,YINT,TINT) // WRITE(6, 30) H(J), TINT, XINT, YINT // 20 CONTINUE // 30 FORMAT(F7.1,3(1X, F20.17)) // C // END PROGRAM // // the output of this test reads: // 0.0 -0.29839889612705234 -0.12191552977388567 0.21921143351558756 // 3600.0 -0.29841696994736727 -0.12208276003864491 0.21925416583607277 // 7200.0 -0.29843402412052122 -0.12218102086455683 0.21930263880545320 // 43200.0 -0.29866785146390035 -0.12250027826538630 0.22103779809979979 // 86400.0 -0.29874248853173840 -0.12308592577174847 0.22161565557764881 Utils.setLoaders(IERSConventions.IERS_1996, Utils.buildEOPList(IERSConventions.IERS_1996, new double[][] { { 52653, -0.2979055, 0.0005744, -0.120344, 0.217095, 0.0, 0.0, 0.0, 0.0 }, { 52654, -0.2984238, 0.0004224, -0.121680, 0.219400, 0.0, 0.0, 0.0, 0.0 }, { 52655, -0.2987682, 0.0002878, -0.122915, 0.221760, 0.0, 0.0, 0.0, 0.0 }, { 52656, -0.2989957, 0.0001778, -0.124248, 0.224294, 0.0, 0.0, 0.0, 0.0 } })); EOPHistory eopHistory = FramesFactory.getEOPHistory(IERSConventions.IERS_1996, false); final AbsoluteDate t0 = new AbsoluteDate(new DateComponents(DateComponents.MODIFIED_JULIAN_EPOCH, 52654), TimeScalesFactory.getUTC()); for (double[] row : new double[][] { { 0.0, -0.29839889612705234, -0.12191552977388567, 0.21921143351558756 }, { 3600.0, -0.29841696994736727, -0.12208276003864491, 0.21925416583607277 }, { 7200.0, -0.29843402412052122, -0.12218102086455683, 0.21930263880545320 }, { 43200.0, -0.29866785146390035, -0.12250027826538630, 0.22103779809979979 }, { 86400.0, -0.29874248853173840, -0.12308592577174847, 0.22161565557764881 } }) { AbsoluteDate date = t0.shiftedBy(row[0]); Assert.assertEquals(row[1], eopHistory.getUT1MinusUTC(date), 8.8e-11); Assert.assertEquals(row[2] * Constants.ARC_SECONDS_TO_RADIANS, eopHistory.getPoleCorrection(date).getXp(), 3.2e-14); Assert.assertEquals(row[3] * Constants.ARC_SECONDS_TO_RADIANS, eopHistory.getPoleCorrection(date).getYp(), 8.2e-15); } } @Test public void testTidalCorrection2003() throws OrekitException { // the reference value has been computed using the September 2007 version // of interp.f from ftp://hpiers.obspm.fr/iers/models/ adding input/output // parameters for LOD (which was already computed in the underlying routines), // with the following driver program: // // PROGRAM OR_TEST // IMPLICIT NONE // INTEGER J, N // PARAMETER (N = 4) // INTEGER MJD(N) // DOUBLE PRECISION TTTAI, TAIUTC // PARAMETER (TAIUTC = 32.000D0) // PARAMETER (TTTAI = 32.184D0) // DOUBLE PRECISION RJD(N), UT1(N), LOD(N), X(N), Y(N), H(5) // DOUBLE PRECISION RJD_INT, UT1_INT, LOD_INT, X_INT, Y_INT // DATA(MJD(J), UT1(J), LOD(J), X(J), Y(J), // & J=1,4)/ // & 52653, -0.2979055D0, 0.0005744D0, -0.120344D0, 0.217095D0, // & 52654, -0.2984238D0, 0.0004224D0, -0.121680D0, 0.219400D0, // & 52655, -0.2987682D0, 0.0002878D0, -0.122915D0, 0.221760D0, // & 52656, -0.2989957D0, 0.0001778D0, -0.124248D0, 0.224294D0/ // C // DATA(H(J),J=1,5)/0.0D0, 3600.0D0, 7200.0D0, 43200.0D0, 86400.0D0/ // C // DO 10 J = 1, N // RJD(J) = MJD(J) + (TTTAI + TAIUTC) / 86400.0D0 // 10 CONTINUE // C // DO 20 J = 1, 5 // RJD_INT = RJD(2) + H(J) / 86400.0D0 // CALL INTERP(RJD,X,Y,UT1,LOD,N, // & RJD_INT,X_INT,Y_INT,UT1_INT,LOD_INT) // WRITE(6, 30) H(J),UT1_INT,LOD_INT,X_INT,Y_INT // 20 CONTINUE // 30 FORMAT(F7.1,4(1X, F20.17)) // C // END PROGRAM // // the output of this test reads: // 0.0 -0.29840026968370659 0.00045312852893139 -0.12196223480123573 0.21922730818562719 // 3600.0 -0.29841834564816189 0.00041710864863793 -0.12213345007640604 0.21927433626001305 // 7200.0 -0.29843503870494986 0.00039207574457087 -0.12222881007999241 0.21932415788122142 // 43200.0 -0.29866930257052676 0.00042895046506082 -0.12247697694276605 0.22105450666130921 // 86400.0 -0.29874235341010519 0.00035460263868306 -0.12312252389660779 0.22161364352515728 Utils.setLoaders(IERSConventions.IERS_2003, Utils.buildEOPList(IERSConventions.IERS_2003, new double[][] { { 52653, -0.2979055, 0.0005744, -0.120344, 0.217095, 0.0, 0.0, 0.0, 0.0 }, { 52654, -0.2984238, 0.0004224, -0.121680, 0.219400, 0.0, 0.0, 0.0, 0.0 }, { 52655, -0.2987682, 0.0002878, -0.122915, 0.221760, 0.0, 0.0, 0.0, 0.0 }, { 52656, -0.2989957, 0.0001778, -0.124248, 0.224294, 0.0, 0.0, 0.0, 0.0 } })); EOPHistory eopHistory = FramesFactory.getEOPHistory(IERSConventions.IERS_2003, false); final AbsoluteDate t0 = new AbsoluteDate(new DateComponents(DateComponents.MODIFIED_JULIAN_EPOCH, 52654), TimeScalesFactory.getUTC()); for (double[] row : new double[][] { { 0.0, -0.29840026968370659, 0.00045312852893139, -0.12196223480123573, 0.21922730818562719 }, { 3600.0, -0.29841834564816189, 0.00041710864863793, -0.12213345007640604, 0.21927433626001305 }, { 7200.0, -0.29843503870494986, 0.00039207574457087, -0.12222881007999241, 0.21932415788122142 }, { 43200.0, -0.29866930257052676, 0.00042895046506082, -0.12247697694276605, 0.22105450666130921 }, { 86400.0, -0.29874235341010519, 0.00035460263868306, -0.12312252389660779, 0.22161364352515728 } }) { AbsoluteDate date = t0.shiftedBy(row[0]); Assert.assertEquals(row[1], eopHistory.getUT1MinusUTC(date), 4.3e-8); Assert.assertEquals(row[2], eopHistory.getLOD(date), 1.4e-7); Assert.assertEquals(row[3] * Constants.ARC_SECONDS_TO_RADIANS, eopHistory.getPoleCorrection(date).getXp(), 1.6e-10); Assert.assertEquals(row[4] * Constants.ARC_SECONDS_TO_RADIANS, eopHistory.getPoleCorrection(date).getYp(), 0.7e-10); } } @Test public void testTidalCorrection2010() throws OrekitException { // the reference value has been computed using the September 2007 version // of interp.f from ftp://hpiers.obspm.fr/iers/models/ adding input/output // parameters for LOD (which was already computed in the underlying routines), // with the following driver program: // // PROGRAM OR_TEST // IMPLICIT NONE // INTEGER J, N // PARAMETER (N = 4) // INTEGER MJD(N) // DOUBLE PRECISION TTTAI, TAIUTC // PARAMETER (TAIUTC = 32.000D0) // PARAMETER (TTTAI = 32.184D0) // DOUBLE PRECISION RJD(N), UT1(N), LOD(N), X(N), Y(N), H(5) // DOUBLE PRECISION RJD_INT, UT1_INT, LOD_INT, X_INT, Y_INT // DATA(MJD(J), UT1(J), LOD(J), X(J), Y(J), // & J=1,4)/ // & 52653, -0.2979055D0, 0.0005744D0, -0.120344D0, 0.217095D0, // & 52654, -0.2984238D0, 0.0004224D0, -0.121680D0, 0.219400D0, // & 52655, -0.2987682D0, 0.0002878D0, -0.122915D0, 0.221760D0, // & 52656, -0.2989957D0, 0.0001778D0, -0.124248D0, 0.224294D0/ // C // DATA(H(J),J=1,5)/0.0D0, 3600.0D0, 7200.0D0, 43200.0D0, 86400.0D0/ // C // DO 10 J = 1, N // RJD(J) = MJD(J) + (TTTAI + TAIUTC) / 86400.0D0 // 10 CONTINUE // C // DO 20 J = 1, 5 // RJD_INT = RJD(2) + H(J) / 86400.0D0 // CALL INTERP(RJD,X,Y,UT1,LOD,N, // & RJD_INT,X_INT,Y_INT,UT1_INT,LOD_INT) // WRITE(6, 30) H(J),UT1_INT,LOD_INT,X_INT,Y_INT // 20 CONTINUE // 30 FORMAT(F7.1,4(1X, F20.17)) // C // END PROGRAM // // the output of this test reads: // 0.0 -0.29840026968370659 0.00045312852893139 -0.12196223480123573 0.21922730818562719 // 3600.0 -0.29841834564816189 0.00041710864863793 -0.12213345007640604 0.21927433626001305 // 7200.0 -0.29843503870494986 0.00039207574457087 -0.12222881007999241 0.21932415788122142 // 43200.0 -0.29866930257052676 0.00042895046506082 -0.12247697694276605 0.22105450666130921 // 86400.0 -0.29874235341010519 0.00035460263868306 -0.12312252389660779 0.22161364352515728 Utils.setLoaders(IERSConventions.IERS_2010, Utils.buildEOPList(IERSConventions.IERS_2010, new double[][] { { 52653, -0.2979055, 0.0005744, -0.120344, 0.217095, 0.0, 0.0, 0.0, 0.0 }, { 52654, -0.2984238, 0.0004224, -0.121680, 0.219400, 0.0, 0.0, 0.0, 0.0 }, { 52655, -0.2987682, 0.0002878, -0.122915, 0.221760, 0.0, 0.0, 0.0, 0.0 }, { 52656, -0.2989957, 0.0001778, -0.124248, 0.224294, 0.0, 0.0, 0.0, 0.0 } })); EOPHistory eopHistory = FramesFactory.getEOPHistory(IERSConventions.IERS_2010, false); final AbsoluteDate t0 = new AbsoluteDate(new DateComponents(DateComponents.MODIFIED_JULIAN_EPOCH, 52654), TimeScalesFactory.getUTC()); for (double[] row : new double[][] { { 0.0, -0.29840026968370659, 0.00045312852893139, -0.12196223480123573, 0.21922730818562719 }, { 3600.0, -0.29841834564816189, 0.00041710864863793, -0.12213345007640604, 0.21927433626001305 }, { 7200.0, -0.29843503870494986, 0.00039207574457087, -0.12222881007999241, 0.21932415788122142 }, { 43200.0, -0.29866930257052676, 0.00042895046506082, -0.12247697694276605, 0.22105450666130921 }, { 86400.0, -0.29874235341010519, 0.00035460263868306, -0.12312252389660779, 0.22161364352515728 } }) { AbsoluteDate date = t0.shiftedBy(row[0]); Assert.assertEquals(row[1], eopHistory.getUT1MinusUTC(date), 2.5e-12); Assert.assertEquals(row[2], eopHistory.getLOD(date), 4.3e-11); Assert.assertEquals(row[3] * Constants.ARC_SECONDS_TO_RADIANS, eopHistory.getPoleCorrection(date).getXp(), 1.6e-10); Assert.assertEquals(row[4] * Constants.ARC_SECONDS_TO_RADIANS, eopHistory.getPoleCorrection(date).getYp(), 0.7e-10); } } private void checkDerivative(final TimeFunction<DerivativeStructure> function, final AbsoluteDate date, final double span, final double sampleStep, final double h, final double tolerance) { UnivariateDifferentiableFunction differentiated = new FiniteDifferencesDifferentiator(4, h) .differentiate(new UnivariateFunction() { @Override public double value(final double dt) { return function.value(date.shiftedBy(dt)).getValue(); } }); for (double dt = 0; dt < span; dt += sampleStep) { DerivativeStructure yRef = differentiated.value(new DerivativeStructure(1, 1, 0, dt)); DerivativeStructure y = function.value(date.shiftedBy(dt)); Assert.assertEquals(yRef.getPartialDerivative(1), y.getPartialDerivative(1), tolerance); } } @Before public void setUp() { Utils.setDataRoot("compressed-data"); } }