/* Copyright 2002-2017 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.time; import java.io.IOException; import java.util.Date; import java.util.TimeZone; import org.hipparchus.Field; import org.hipparchus.RealFieldElement; import org.hipparchus.util.Decimal64Field; import org.hipparchus.util.FastMath; import org.hipparchus.util.Precision; import org.junit.Assert; import org.junit.Before; import org.junit.Test; import org.orekit.Utils; import org.orekit.errors.OrekitException; import org.orekit.errors.OrekitIllegalArgumentException; import org.orekit.errors.OrekitMessages; import org.orekit.utils.Constants; public class FieldAbsoluteDateTest { private TimeScale utc; @Before public void setUp() throws OrekitException { Utils.setDataRoot("regular-data"); utc = TimeScalesFactory.getUTC(); } @Test public void testStandardEpoch() throws OrekitException { doTestStandardEpoch(Decimal64Field.getInstance()); } @Test public void testStandardEpochStrings() throws OrekitException { doTestStandardEpochStrings(Decimal64Field.getInstance()); } @Test public void testJulianEpochRate() throws OrekitException { doTestJulianEpochRate(Decimal64Field.getInstance()); } @Test public void testBesselianEpochRate() throws OrekitException { doTestBesselianEpochRate(Decimal64Field.getInstance()); } @Test public void testLieske() throws OrekitException { doTestLieske(Decimal64Field.getInstance()); } @Test public void testParse() throws OrekitException { doTestParse(Decimal64Field.getInstance()); } @Test public void testLocalTimeParsing() throws OrekitException { doTestLocalTimeParsing(Decimal64Field.getInstance()); } @Test public void testTimeZoneDisplay() throws OrekitException { doTestTimeZoneDisplay(Decimal64Field.getInstance()); } @Test public void testLocalTimeLeapSecond() throws OrekitException, IOException { doTestLocalTimeLeapSecond(Decimal64Field.getInstance()); } @Test public void testTimeZoneLeapSecond() throws OrekitException { doTestTimeZoneLeapSecond(Decimal64Field.getInstance()); } @Test public void testParseLeap() throws OrekitException { doTestParseLeap(Decimal64Field.getInstance()); } @Test public void testOutput() { doTestOutput(Decimal64Field.getInstance()); } @Test public void testJ2000() { doTestJ2000(Decimal64Field.getInstance()); } @Test public void testFraction() { doTestFraction(Decimal64Field.getInstance()); } @Test public void testScalesOffset() { doTestScalesOffset(Decimal64Field.getInstance()); } @Test public void testUTC() { doTestUTC(Decimal64Field.getInstance()); } @Test public void test1970() { doTest1970(Decimal64Field.getInstance()); } @Test public void testUtcGpsOffset() { doTestUtcGpsOffset(Decimal64Field.getInstance()); } @Test public void testGpsDate() { doTestGpsDate(Decimal64Field.getInstance()); } @Test public void testMJDDate() throws OrekitException { doTestMJDDate(Decimal64Field.getInstance()); } @Test public void testJDDate() { doTestJDDate(Decimal64Field.getInstance()); } @Test public void testOffsets() { doTestOffsets(Decimal64Field.getInstance()); } @Test public void testBeforeAndAfterLeap() { doTestBeforeAndAfterLeap(Decimal64Field.getInstance()); } @Test public void testSymmetry() { doTestSymmetry(Decimal64Field.getInstance()); } @Test public void testEquals() { doTestEquals(Decimal64Field.getInstance()); } @Test public void testComponents() throws OrekitException { doTestComponents(Decimal64Field.getInstance()); } @Test public void testMonth() throws OrekitException { doTestMonth(Decimal64Field.getInstance()); } @Test public void testCCSDSUnsegmentedNoExtension() throws OrekitException { doTestCCSDSUnsegmentedNoExtension(Decimal64Field.getInstance()); } @Test public void testCCSDSUnsegmentedWithExtendedPreamble() throws OrekitException { doTestCCSDSUnsegmentedWithExtendedPreamble(Decimal64Field.getInstance()); } @Test public void testCCSDSDaySegmented() throws OrekitException { doTestCCSDSDaySegmented(Decimal64Field.getInstance()); } @Test public void testCCSDSCalendarSegmented() throws OrekitException { doTestCCSDSCalendarSegmented(Decimal64Field.getInstance()); } @Test public void testExpandedConstructors() throws OrekitException { doTestExpandedConstructors(Decimal64Field.getInstance()); } @Test public void testHashcode() { doTestHashcode(Decimal64Field.getInstance()); } @Test public void testInfinity() { doTestInfinity(Decimal64Field.getInstance()); } @Test public void testAccuracy() { doTestAccuracy(Decimal64Field.getInstance()); } @Test public void testIterationAccuracy() { doTestIterationAccuracy(Decimal64Field.getInstance()); } @Test public void testIssue142() throws OrekitException { doTestIssue142(Decimal64Field.getInstance()); } @Test public void testIssue148() throws OrekitException { doTestIssue148(Decimal64Field.getInstance()); } @Test public void testIssue149() throws OrekitException { doTestIssue149(Decimal64Field.getInstance()); } @Test public void testWrapAtMinuteEnd() throws OrekitException { doTestWrapAtMinuteEnd(Decimal64Field.getInstance()); } private <T extends RealFieldElement<T>> void doTestStandardEpoch(final Field<T> field) throws OrekitException { TimeScale tai = TimeScalesFactory.getTAI(); TimeScale tt = TimeScalesFactory.getTT(); FieldAbsoluteDate<T> JuEp = FieldAbsoluteDate.getJulianEpoch(field); FieldAbsoluteDate<T> MJuEp = FieldAbsoluteDate.getModifiedJulianEpoch(field); FieldAbsoluteDate<T> FiEp = FieldAbsoluteDate.getFiftiesEpoch(field); FieldAbsoluteDate<T> CCSDS = FieldAbsoluteDate.getCCSDSEpoch(field); FieldAbsoluteDate<T> GaEp = FieldAbsoluteDate.getGalileoEpoch(field); FieldAbsoluteDate<T> GPSEp = FieldAbsoluteDate.getGPSEpoch(field); FieldAbsoluteDate<T> JTTEP = FieldAbsoluteDate.getJ2000Epoch(field); Assert.assertEquals(-210866760000000l, JuEp.toDate(tt).getTime()); Assert.assertEquals(-3506716800000l,MJuEp.toDate(tt).getTime()); Assert.assertEquals(-631152000000l, FiEp.toDate(tt).getTime()); Assert.assertEquals(-378691200000l, CCSDS.toDate(tai).getTime()); Assert.assertEquals(935280032000l, GaEp.toDate(tai).getTime()); Assert.assertEquals(315964819000l, GPSEp.toDate(tai).getTime()); Assert.assertEquals(946728000000l, JTTEP.toDate(tt).getTime()); } private <T extends RealFieldElement<T>> void doTestStandardEpochStrings(final Field<T> field) throws OrekitException { Assert.assertEquals("-4712-01-01T12:00:00.000", FieldAbsoluteDate.getJulianEpoch(field).toString(TimeScalesFactory.getTT())); Assert.assertEquals("1858-11-17T00:00:00.000", FieldAbsoluteDate.getModifiedJulianEpoch(field).toString(TimeScalesFactory.getTT())); Assert.assertEquals("1950-01-01T00:00:00.000", FieldAbsoluteDate.getFiftiesEpoch(field).toString(TimeScalesFactory.getTT())); Assert.assertEquals("1958-01-01T00:00:00.000", FieldAbsoluteDate.getCCSDSEpoch(field).toString(TimeScalesFactory.getTAI())); Assert.assertEquals("1999-08-22T00:00:00.000", FieldAbsoluteDate.getGalileoEpoch(field).toString(TimeScalesFactory.getUTC())); Assert.assertEquals("1980-01-06T00:00:00.000", FieldAbsoluteDate.getGPSEpoch(field).toString(TimeScalesFactory.getUTC())); Assert.assertEquals("2000-01-01T12:00:00.000", FieldAbsoluteDate.getJ2000Epoch(field).toString(TimeScalesFactory.getTT())); Assert.assertEquals("1970-01-01T00:00:00.000", FieldAbsoluteDate.getJavaEpoch(field).toString(TimeScalesFactory.getUTC())); } private <T extends RealFieldElement<T>> void doTestJulianEpochRate(final Field<T> field) throws OrekitException { for (int i = 0; i < 10; ++i) { FieldAbsoluteDate<T> j200i = FieldAbsoluteDate.createJulianEpoch(field.getZero().add(2000.0+i)); FieldAbsoluteDate<T> j2000 = FieldAbsoluteDate.getJ2000Epoch(field); double expected = i * Constants.JULIAN_YEAR; Assert.assertEquals(expected, j200i.durationFrom(j2000).getReal(), 4.0e-15 * expected); } } private <T extends RealFieldElement<T>> void doTestBesselianEpochRate(final Field<T> field) throws OrekitException { for (int i = 0; i < 10; ++i) { FieldAbsoluteDate<T> b195i = FieldAbsoluteDate.createBesselianEpoch(field.getZero().add(1950.0 + i)); FieldAbsoluteDate<T> b1950 = FieldAbsoluteDate.createBesselianEpoch(field.getZero().add(1950.0)); double expected = i * Constants.BESSELIAN_YEAR; Assert.assertEquals(expected, b195i.durationFrom(b1950).getReal(), 4.0e-15 * expected); } } private <T extends RealFieldElement<T>> void doTestLieske(final Field<T> field) throws OrekitException { // the following test values correspond to table 1 in the paper: // Precession Matrix Based on IAU (1976) System of Astronomical Constants, // Jay H. Lieske, Astronomy and Astrophysics, vol. 73, no. 3, Mar. 1979, p. 282-284 // http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?1979A%26A....73..282L&defaultprint=YES&filetype=.pdf // published table, with limited accuracy final double publishedEpsilon = 1.0e-6 * Constants.JULIAN_YEAR; checkEpochs(field,1899.999142, 1900.000000, publishedEpsilon); checkEpochs(field,1900.000000, 1900.000858, publishedEpsilon); checkEpochs(field,1950.000000, 1949.999790, publishedEpsilon); checkEpochs(field,1950.000210, 1950.000000, publishedEpsilon); checkEpochs(field,2000.000000, 1999.998722, publishedEpsilon); checkEpochs(field,2000.001278, 2000.000000, publishedEpsilon); // recomputed table, using directly Lieske formulas (i.e. *not* Orekit implementation) with high accuracy final double accurateEpsilon = 1.2e-13 * Constants.JULIAN_YEAR; checkEpochs(field,1899.99914161068724704, 1900.00000000000000000, accurateEpsilon); checkEpochs(field,1900.00000000000000000, 1900.00085837097878165, accurateEpsilon); checkEpochs(field,1950.00000000000000000, 1949.99979044229979466, accurateEpsilon); checkEpochs(field,1950.00020956217615449, 1950.00000000000000000, accurateEpsilon); checkEpochs(field,2000.00000000000000000, 1999.99872251362080766, accurateEpsilon); checkEpochs(field,2000.00127751366506194, 2000.00000000000000000, accurateEpsilon); } private <T extends RealFieldElement<T>> void checkEpochs(final Field<T> field,final double besselianEpoch, final double julianEpoch, final double epsilon) { final FieldAbsoluteDate<T> b = FieldAbsoluteDate.createBesselianEpoch(field.getZero().add(besselianEpoch)); final FieldAbsoluteDate<T> j = FieldAbsoluteDate.createJulianEpoch(field.getZero().add(julianEpoch)); Assert.assertEquals(0.0, b.durationFrom(j).getReal(), epsilon); } private <T extends RealFieldElement<T>> void doTestParse(final Field<T> field) throws OrekitException { Assert.assertEquals(FieldAbsoluteDate.getModifiedJulianEpoch(field), new FieldAbsoluteDate<T>(field,"1858-W46-3", TimeScalesFactory.getTT())); Assert.assertEquals(FieldAbsoluteDate.getJulianEpoch(field), new FieldAbsoluteDate<T>(field,"-4712-01-01T12:00:00.000", TimeScalesFactory.getTT())); Assert.assertEquals(FieldAbsoluteDate.getFiftiesEpoch(field), new FieldAbsoluteDate<T>(field,"1950-01-01", TimeScalesFactory.getTT())); Assert.assertEquals(FieldAbsoluteDate.getCCSDSEpoch(field), new FieldAbsoluteDate<T>(field,"1958-001", TimeScalesFactory.getTAI())); } private <T extends RealFieldElement<T>> void doTestLocalTimeParsing(final Field<T> field) throws OrekitException { TimeScale utc = TimeScalesFactory.getUTC(); Assert.assertEquals(new FieldAbsoluteDate<T>(field,"2011-12-31T23:00:00", utc), new FieldAbsoluteDate<T>(field,"2012-01-01T03:30:00+04:30", utc)); Assert.assertEquals(new FieldAbsoluteDate<T>(field,"2011-12-31T23:00:00", utc), new FieldAbsoluteDate<T>(field,"2012-01-01T03:30:00+0430", utc)); Assert.assertEquals(new FieldAbsoluteDate<T>(field,"2011-12-31T23:30:00", utc), new FieldAbsoluteDate<T>(field,"2012-01-01T03:30:00+04", utc)); Assert.assertEquals(new FieldAbsoluteDate<T>(field,"2012-01-01T05:17:00", utc), new FieldAbsoluteDate<T>(field,"2011-12-31T22:17:00-07:00", utc)); Assert.assertEquals(new FieldAbsoluteDate<T>(field,"2012-01-01T05:17:00", utc), new FieldAbsoluteDate<T>(field,"2011-12-31T22:17:00-0700", utc)); Assert.assertEquals(new FieldAbsoluteDate<T>(field,"2012-01-01T05:17:00", utc), new FieldAbsoluteDate<T>(field,"2011-12-31T22:17:00-07", utc)); } private <T extends RealFieldElement<T>> void doTestTimeZoneDisplay(final Field<T> field) throws OrekitException { final TimeScale utc = TimeScalesFactory.getUTC(); final FieldAbsoluteDate<T> date = new FieldAbsoluteDate<T>(field,"2000-01-01T01:01:01.000", utc); Assert.assertEquals("2000-01-01T01:01:01.000", date.toString()); Assert.assertEquals("2000-01-01T11:01:01.000+10:00", date.toString( 600)); Assert.assertEquals("1999-12-31T23:01:01.000-02:00", date.toString(-120)); // winter time, Europe is one hour ahead of UTC final TimeZone tz = TimeZone.getTimeZone("Europe/Paris"); Assert.assertEquals("2001-01-22T11:30:00.000+01:00", new FieldAbsoluteDate<T>(field,"2001-01-22T10:30:00", utc).toString(tz)); // summer time, Europe is two hours ahead of UTC Assert.assertEquals("2001-06-23T11:30:00.000+02:00", new FieldAbsoluteDate<T>(field,"2001-06-23T09:30:00", utc).toString(tz)); } private <T extends RealFieldElement<T>> void doTestLocalTimeLeapSecond(final Field<T> field) throws OrekitException, IOException { TimeScale utc = TimeScalesFactory.getUTC(); FieldAbsoluteDate<T> beforeLeap = new FieldAbsoluteDate<T>(field,"2012-06-30T23:59:59.8", utc); FieldAbsoluteDate<T> inLeap = new FieldAbsoluteDate<T>(field,"2012-06-30T23:59:60.5", utc); Assert.assertEquals(0.7, inLeap.durationFrom(beforeLeap).getReal(), 1.0e-12); for (int minutesFromUTC = -1500; minutesFromUTC < -1499; ++minutesFromUTC) { DateTimeComponents dtcBeforeLeap = beforeLeap.getComponents(minutesFromUTC); DateTimeComponents dtcInsideLeap = inLeap.getComponents(minutesFromUTC); Assert.assertEquals(dtcBeforeLeap.getDate(), dtcInsideLeap.getDate()); Assert.assertEquals(dtcBeforeLeap.getTime().getHour(), dtcInsideLeap.getTime().getHour()); Assert.assertEquals(dtcBeforeLeap.getTime().getMinute(), dtcInsideLeap.getTime().getMinute()); Assert.assertEquals(minutesFromUTC, dtcBeforeLeap.getTime().getMinutesFromUTC()); Assert.assertEquals(minutesFromUTC, dtcInsideLeap.getTime().getMinutesFromUTC()); Assert.assertEquals(59.8, dtcBeforeLeap.getTime().getSecond(), 1.0e-10); Assert.assertEquals(60.5, dtcInsideLeap.getTime().getSecond(), 1.0e-10); } } private <T extends RealFieldElement<T>> void doTestTimeZoneLeapSecond(final Field<T> field) throws OrekitException { TimeScale utc = TimeScalesFactory.getUTC(); final TimeZone tz = TimeZone.getTimeZone("Europe/Paris"); FieldAbsoluteDate<T> localBeforeMidnight = new FieldAbsoluteDate<T>(field, "2012-06-30T21:59:59.800", utc); Assert.assertEquals("2012-06-30T23:59:59.800+02:00", localBeforeMidnight.toString(tz)); Assert.assertEquals("2012-07-01T00:00:00.800+02:00", localBeforeMidnight.shiftedBy(1.0).toString(tz)); FieldAbsoluteDate<T> beforeLeap = new FieldAbsoluteDate<T>(field,"2012-06-30T23:59:59.8", utc); FieldAbsoluteDate<T> inLeap = new FieldAbsoluteDate<T>(field,"2012-06-30T23:59:60.5", utc); Assert.assertEquals(0.7, inLeap.durationFrom(beforeLeap).getReal(), 1.0e-12); Assert.assertEquals("2012-07-01T01:59:59.800+02:00", beforeLeap.toString(tz)); Assert.assertEquals("2012-07-01T01:59:60.500+02:00", inLeap.toString(tz)); } private <T extends RealFieldElement<T>> void doTestParseLeap(final Field<T> field) throws OrekitException { TimeScale utc = TimeScalesFactory.getUTC(); FieldAbsoluteDate<T> beforeLeap = new FieldAbsoluteDate<T>(field,"2012-06-30T23:59:59.8", utc); FieldAbsoluteDate<T> inLeap = new FieldAbsoluteDate<T>(field,"2012-06-30T23:59:60.5", utc); Assert.assertEquals(0.7, inLeap.durationFrom(beforeLeap).getReal(), 1.0e-12); Assert.assertEquals("2012-06-30T23:59:60.500", inLeap.toString(utc)); } private <T extends RealFieldElement<T>> void doTestOutput(final Field<T> field) { TimeScale tt = TimeScalesFactory.getTT(); Assert.assertEquals("1950-01-01T01:01:01.000", FieldAbsoluteDate.getFiftiesEpoch(field).shiftedBy(3661.0).toString(tt)); Assert.assertEquals("2000-01-01T13:01:01.000", FieldAbsoluteDate.getJ2000Epoch(field).shiftedBy(3661.0).toString(tt)); } private <T extends RealFieldElement<T>> void doTestJ2000(final Field<T> field) { FieldAbsoluteDate<T> FAD = new FieldAbsoluteDate<T>(field); Assert.assertEquals("2000-01-01T12:00:00.000", FAD.toString(TimeScalesFactory.getTT())); Assert.assertEquals("2000-01-01T11:59:27.816", FAD.toString(TimeScalesFactory.getTAI())); Assert.assertEquals("2000-01-01T11:58:55.816", FAD.toString(utc)); Assert.assertEquals("2000-01-01T12:00:00.000", FieldAbsoluteDate.getJ2000Epoch(field).toString(TimeScalesFactory.getTT())); Assert.assertEquals("2000-01-01T11:59:27.816", FieldAbsoluteDate.getJ2000Epoch(field).toString(TimeScalesFactory.getTAI())); Assert.assertEquals("2000-01-01T11:58:55.816", FieldAbsoluteDate.getJ2000Epoch(field).toString(utc)); } private <T extends RealFieldElement<T>> void doTestFraction(final Field<T> field) { FieldAbsoluteDate<T> d = new FieldAbsoluteDate<T>(field,new DateComponents(2000, 01, 01), new TimeComponents(11, 59, 27.816), TimeScalesFactory.getTAI()); Assert.assertEquals(0, d.durationFrom(FieldAbsoluteDate.getJ2000Epoch(field)).getReal(), 1.0e-10); } private <T extends RealFieldElement<T>> void doTestScalesOffset(final Field<T> field) { FieldAbsoluteDate<T> date = new FieldAbsoluteDate<T>(field,new DateComponents(2006, 02, 24), new TimeComponents(15, 38, 00), utc); Assert.assertEquals(33, date.timeScalesOffset(TimeScalesFactory.getTAI(), utc).getReal(), 1.0e-10); } private <T extends RealFieldElement<T>> void doTestUTC(final Field<T> field) { FieldAbsoluteDate<T> date = new FieldAbsoluteDate<T>(field,new DateComponents(2002, 01, 01), new TimeComponents(00, 00, 01), utc); Assert.assertEquals("2002-01-01T00:00:01.000", date.toString()); } private <T extends RealFieldElement<T>> void doTest1970(final Field<T> field) { FieldAbsoluteDate<T> date = new FieldAbsoluteDate<T>(field,new Date(0l), utc); Assert.assertEquals("1970-01-01T00:00:00.000", date.toString()); } private <T extends RealFieldElement<T>> void doTestUtcGpsOffset(final Field<T> field) { FieldAbsoluteDate<T> date1 = new FieldAbsoluteDate<T>(field,new DateComponents(2005, 8, 9), new TimeComponents(16, 31, 17), utc); FieldAbsoluteDate<T> date2 = new FieldAbsoluteDate<T>(field,new DateComponents(2006, 8, 9), new TimeComponents(16, 31, 17), utc); FieldAbsoluteDate<T> dateRef = new FieldAbsoluteDate<T>(field,new DateComponents(1980, 1, 6), TimeComponents.H00, utc); // 13 seconds offset between GPS time and UTC in 2005 long noLeapGap = ((9347 * 24 + 16) * 60 + 31) * 60 + 17; long realGap = (long) date1.durationFrom(dateRef).getReal(); Assert.assertEquals(13l, realGap - noLeapGap); // 14 seconds offset between GPS time and UTC in 2006 noLeapGap = ((9712 * 24 + 16) * 60 + 31) * 60 + 17; realGap = (long) date2.durationFrom(dateRef).getReal(); Assert.assertEquals(14l, realGap - noLeapGap); } private <T extends RealFieldElement<T>> void doTestGpsDate(final Field<T> field) { FieldAbsoluteDate<T> date = FieldAbsoluteDate.createGPSDate(1387, field.getZero().add(318677000.0)); FieldAbsoluteDate<T> ref = new FieldAbsoluteDate<T>(field,new DateComponents(2006, 8, 9), new TimeComponents(16, 31, 03), utc); Assert.assertEquals(0, date.durationFrom(ref).getReal(), 1.0e-15); } private <T extends RealFieldElement<T>> void doTestMJDDate(final Field<T> field) throws OrekitException { FieldAbsoluteDate<T> dateA = FieldAbsoluteDate.createMJDDate(51544, field.getZero().add(0.5 * Constants.JULIAN_DAY), TimeScalesFactory.getTT()); Assert.assertEquals(0.0, FieldAbsoluteDate.getJ2000Epoch(field).durationFrom(dateA).getReal(), 1.0e-15); FieldAbsoluteDate<T> dateB = FieldAbsoluteDate.createMJDDate(53774, field.getZero(), TimeScalesFactory.getUTC()); FieldAbsoluteDate<T> dateC = new FieldAbsoluteDate<T>(field,"2006-02-08T00:00:00", TimeScalesFactory.getUTC()); Assert.assertEquals(0.0, dateC.durationFrom(dateB).getReal(), 1.0e-15); } private <T extends RealFieldElement<T>> void doTestJDDate(final Field<T> field) { final FieldAbsoluteDate<T> date = FieldAbsoluteDate.createJDDate(2400000,field.getZero().add(0.5 * Constants.JULIAN_DAY), TimeScalesFactory.getTT()); Assert.assertEquals(0.0, FieldAbsoluteDate.getModifiedJulianEpoch(field).durationFrom(date).getReal(), 1.0e-15); } private <T extends RealFieldElement<T>> void doTestOffsets(final Field<T> field) { final TimeScale tai = TimeScalesFactory.getTAI(); FieldAbsoluteDate<T> leapStartUTC = new FieldAbsoluteDate<T>(field,1976, 12, 31, 23, 59, 59, utc); FieldAbsoluteDate<T> leapEndUTC = new FieldAbsoluteDate<T>(field,1977, 1, 1, 0, 0, 0, utc); FieldAbsoluteDate<T> leapStartTAI = new FieldAbsoluteDate<T>(field,1977, 1, 1, 0, 0, 14, tai); FieldAbsoluteDate<T> leapEndTAI = new FieldAbsoluteDate<T>(field,1977, 1, 1, 0, 0, 16, tai); Assert.assertEquals(leapStartUTC, leapStartTAI); Assert.assertEquals(leapEndUTC, leapEndTAI); Assert.assertEquals(1, leapEndUTC.offsetFrom(leapStartUTC, utc).getReal(), 1.0e-10); Assert.assertEquals(1, leapEndTAI.offsetFrom(leapStartTAI, utc).getReal(), 1.0e-10); Assert.assertEquals(2, leapEndUTC.offsetFrom(leapStartUTC, tai).getReal(), 1.0e-10); Assert.assertEquals(2, leapEndTAI.offsetFrom(leapStartTAI, tai).getReal(), 1.0e-10); Assert.assertEquals(2, leapEndUTC.durationFrom(leapStartUTC).getReal(), 1.0e-10); Assert.assertEquals(2, leapEndTAI.durationFrom(leapStartTAI).getReal(), 1.0e-10); } private <T extends RealFieldElement<T>> void doTestBeforeAndAfterLeap(final Field<T> field) { final TimeScale tai = TimeScalesFactory.getTAI(); FieldAbsoluteDate<T> leapStart = new FieldAbsoluteDate<T>(field,1977, 1, 1, 0, 0, 14, tai); FieldAbsoluteDate<T> leapEnd = new FieldAbsoluteDate<T>(field,1977, 1, 1, 0, 0, 16, tai); for (int i = -10; i < 10; ++i) { final double dt = 1.1 * (2 * i - 1); FieldAbsoluteDate<T> d1 = leapStart.shiftedBy(dt); FieldAbsoluteDate<T> d2 = new FieldAbsoluteDate<T>(leapStart,dt, tai); FieldAbsoluteDate<T> d3 = new FieldAbsoluteDate<T>(leapStart,dt, utc); FieldAbsoluteDate<T> d4 = new FieldAbsoluteDate<T>(leapEnd,dt, tai); FieldAbsoluteDate<T> d5 = new FieldAbsoluteDate<T>(leapEnd,dt, utc); Assert.assertTrue(FastMath.abs(d1.durationFrom(d2).getReal()) < 1.0e-10); if (dt < 0) { Assert.assertTrue(FastMath.abs(d2.durationFrom(d3).getReal()) < 1.0e-10); Assert.assertTrue(d4.durationFrom(d5).getReal() > (1.0 - 1.0e-10)); } else { Assert.assertTrue(d2.durationFrom(d3).getReal() < (-1.0 + 1.0e-10)); Assert.assertTrue(FastMath.abs(d4.durationFrom(d5).getReal()) < 1.0e-10); } } } private <T extends RealFieldElement<T>> void doTestSymmetry(final Field<T> field) { final TimeScale tai = TimeScalesFactory.getTAI(); FieldAbsoluteDate<T> leapStart = new FieldAbsoluteDate<T>(field,1977, 1, 1, 0, 0, 14, tai); for (int i = -10; i < 10; ++i) { final double dt = 1.1 * (2 * i - 1); Assert.assertEquals(dt, new FieldAbsoluteDate<T>(leapStart,dt, utc).offsetFrom(leapStart, utc).getReal(), 1.0e-10); Assert.assertEquals(dt, new FieldAbsoluteDate<T>(leapStart,dt, tai).offsetFrom(leapStart, tai).getReal(), 1.0e-10); Assert.assertEquals(dt, leapStart.shiftedBy(dt).durationFrom(leapStart).getReal(), 1.0e-10); } } private <T extends RealFieldElement<T>> void doTestEquals(final Field<T> field) { FieldAbsoluteDate<T> d1 = new FieldAbsoluteDate<T>(field,new DateComponents(2006, 2, 25), new TimeComponents(17, 10, 34), utc); FieldAbsoluteDate<T> d2 = new FieldAbsoluteDate<T>(field,new DateComponents(2006, 2, 25), new TimeComponents(17, 10, 0), utc).shiftedBy(34); Assert.assertTrue(d1.equals(d2)); Assert.assertFalse(d1.equals(this)); } private <T extends RealFieldElement<T>> void doTestComponents(final Field<T> field) throws OrekitException { // this is NOT J2000.0, // it is either a few seconds before or after depending on time scale DateComponents date = new DateComponents(2000, 01,01); TimeComponents time = new TimeComponents(11, 59, 10); TimeScale[] scales = { TimeScalesFactory.getTAI(), TimeScalesFactory.getUTC(), TimeScalesFactory.getTT(), TimeScalesFactory.getTCG() }; for (int i = 0; i < scales.length; ++i) { FieldAbsoluteDate<T> in = new FieldAbsoluteDate<T>(field, date, time, scales[i]); for (int j = 0; j < scales.length; ++j) { DateTimeComponents pair = in.getComponents(scales[j]); if (i == j) { Assert.assertEquals(date, pair.getDate()); Assert.assertEquals(time, pair.getTime()); } else { Assert.assertNotSame(date, pair.getDate()); Assert.assertNotSame(time, pair.getTime()); } } } } private <T extends RealFieldElement<T>> void doTestMonth(final Field<T> field) throws OrekitException { TimeScale utc = TimeScalesFactory.getUTC(); Assert.assertEquals(new FieldAbsoluteDate<T>(field,2011, 2, 23, utc), new FieldAbsoluteDate<T>(field,2011, Month.FEBRUARY, 23, utc)); Assert.assertEquals(new FieldAbsoluteDate<T>(field,2011, 2, 23, 1, 2, 3.4, utc), new FieldAbsoluteDate<T>(field,2011, Month.FEBRUARY, 23, 1, 2, 3.4, utc)); } private <T extends RealFieldElement<T>> void doTestCCSDSUnsegmentedNoExtension(final Field<T> field) throws OrekitException { FieldAbsoluteDate<T> reference = new FieldAbsoluteDate<T>(field,"2002-05-23T12:34:56.789", utc); double lsb = FastMath.pow(2.0, -24); byte[] timeCCSDSEpoch = new byte[] { 0x53, 0x7F, 0x40, -0x70, -0x37, -0x05, -0x19 }; for (int preamble = 0x00; preamble < 0x80; ++preamble) { if (preamble == 0x1F) { // using CCSDS reference epoch FieldAbsoluteDate<T> ccsds1 = FieldAbsoluteDate.parseCCSDSUnsegmentedTimeCode(field, (byte) preamble, (byte) 0x0, timeCCSDSEpoch, null); Assert.assertEquals(0, ccsds1.durationFrom(reference).getReal(), lsb / 2); } else { try { FieldAbsoluteDate.parseCCSDSUnsegmentedTimeCode(field, (byte) preamble, (byte) 0x0, timeCCSDSEpoch, null); Assert.fail("an exception should have been thrown"); } catch (OrekitException iae) { // expected } } } // missing epoch byte[] timeJ2000Epoch = new byte[] { 0x04, 0x7E, -0x0B, -0x10, -0x07, 0x16, -0x79 }; try { FieldAbsoluteDate.parseCCSDSUnsegmentedTimeCode(field, (byte) 0x2F, (byte) 0x0, timeJ2000Epoch, null); Assert.fail("an exception should have been thrown"); } catch (OrekitException iae) { // expected } // using J2000.0 epoch FieldAbsoluteDate<T> ccsds3 = FieldAbsoluteDate.parseCCSDSUnsegmentedTimeCode(field, (byte) 0x2F, (byte) 0x0, timeJ2000Epoch, FieldAbsoluteDate.getJ2000Epoch(field)); Assert.assertEquals(0, ccsds3.durationFrom(reference).getReal(), lsb / 2); } private <T extends RealFieldElement<T>> void doTestCCSDSUnsegmentedWithExtendedPreamble(final Field<T> field) throws OrekitException { FieldAbsoluteDate<T> reference = new FieldAbsoluteDate<T>(field,"2095-03-03T22:02:45.789012345678901", utc); int leap = (int) FastMath.rint(utc.offsetFromTAI(reference.toAbsoluteDate())); double lsb = FastMath.pow(2.0, -48); byte extendedPreamble = (byte) -0x80; byte identification = (byte) 0x10; byte coarseLength1 = (byte) 0x0C; // four (3 + 1) bytes byte fineLength1 = (byte) 0x03; // 3 bytes byte coarseLength2 = (byte) 0x20; // 1 additional byte for coarse time byte fineLength2 = (byte) 0x0C; // 3 additional bytes for fine time byte[] timeCCSDSEpoch = new byte[] { 0x01, 0x02, 0x03, 0x04, (byte)(0x05 - leap), // 5 bytes for coarse time (seconds) -0x37, -0x04, -0x4A, -0x74, -0x2C, -0x3C // 6 bytes for fine time (sub-seconds) }; byte preamble1 = (byte) (extendedPreamble | identification | coarseLength1 | fineLength1); byte preamble2 = (byte) (coarseLength2 | fineLength2); FieldAbsoluteDate<T> ccsds1 = FieldAbsoluteDate.parseCCSDSUnsegmentedTimeCode(field, preamble1, preamble2, timeCCSDSEpoch, null); Assert.assertEquals(0, ccsds1.durationFrom(reference).getReal(), lsb / 2); } private <T extends RealFieldElement<T>> void doTestCCSDSDaySegmented(final Field<T> field) throws OrekitException { FieldAbsoluteDate<T> reference = new FieldAbsoluteDate<T>(field,"2002-05-23T12:34:56.789012345678", TimeScalesFactory.getUTC()); double lsb = 1.0e-13; byte[] timeCCSDSEpoch = new byte[] { 0x3F, 0x55, 0x02, -0x4D, 0x2C, -0x6B, 0x00, -0x44, 0x61, 0x4E }; for (int preamble = 0x00; preamble < 0x100; ++preamble) { if (preamble == 0x42) { // using CCSDS reference epoch FieldAbsoluteDate<T> ccsds1 = FieldAbsoluteDate.parseCCSDSDaySegmentedTimeCode(field, (byte) preamble, timeCCSDSEpoch, null); Assert.assertEquals(0, ccsds1.durationFrom(reference).getReal(), lsb / 2); } else { try { FieldAbsoluteDate.parseCCSDSDaySegmentedTimeCode(field, (byte) preamble, timeCCSDSEpoch, null); Assert.fail("an exception should have been thrown"); } catch (OrekitException iae) { // expected } } } // missing epoch byte[] timeJ2000Epoch = new byte[] { 0x03, 0x69, 0x02, -0x4D, 0x2C, -0x6B, 0x00, -0x44, 0x61, 0x4E }; try { FieldAbsoluteDate.parseCCSDSDaySegmentedTimeCode(field, (byte) 0x4A, timeJ2000Epoch, null); Assert.fail("an exception should have been thrown"); } catch (OrekitException iae) { // expected } // using J2000.0 epoch FieldAbsoluteDate<T> ccsds3 = FieldAbsoluteDate.parseCCSDSDaySegmentedTimeCode(field, (byte) 0x4A, timeJ2000Epoch, DateComponents.J2000_EPOCH); Assert.assertEquals(0, ccsds3.durationFrom(reference).getReal(), lsb / 2); // limit to microsecond byte[] timeMicrosecond = new byte[] { 0x03, 0x69, 0x02, -0x4D, 0x2C, -0x6B, 0x00, 0x0C }; FieldAbsoluteDate<T> ccsds4 = FieldAbsoluteDate.parseCCSDSDaySegmentedTimeCode(field, (byte) 0x49, timeMicrosecond, DateComponents.J2000_EPOCH); Assert.assertEquals(-0.345678e-6, ccsds4.durationFrom(reference).getReal(), lsb / 2); } private <T extends RealFieldElement<T>> void doTestCCSDSCalendarSegmented(final Field<T> field) throws OrekitException { FieldAbsoluteDate<T> reference = new FieldAbsoluteDate<T>(field,"2002-05-23T12:34:56.789012345678", TimeScalesFactory.getUTC()); double lsb = 1.0e-13; FieldAbsoluteDate<T> FAD = new FieldAbsoluteDate<T> (field); // month of year / day of month variation byte[] timeMonthDay = new byte[] { 0x07, -0x2E, 0x05, 0x17, 0x0C, 0x22, 0x38, 0x4E, 0x5A, 0x0C, 0x22, 0x38, 0x4E }; for (int preamble = 0x00; preamble < 0x100; ++preamble) { if (preamble == 0x56) { FieldAbsoluteDate<T> ccsds1 = FAD.parseCCSDSCalendarSegmentedTimeCode((byte) preamble, timeMonthDay); Assert.assertEquals(0, ccsds1.durationFrom(reference).getReal(), lsb / 2); } else { try { FAD.parseCCSDSCalendarSegmentedTimeCode((byte) preamble, timeMonthDay); Assert.fail("an exception should have been thrown"); } catch (OrekitException iae) { // expected } catch (IllegalArgumentException iae) { // should happen when preamble specifies day of year variation // since there is no day 1303 (= 5 * 256 + 23) in any year ... Assert.assertEquals(preamble & 0x08, 0x08); } } } // day of year variation byte[] timeDay = new byte[] { 0x07, -0x2E, 0x00, -0x71, 0x0C, 0x22, 0x38, 0x4E, 0x5A, 0x0C, 0x22, 0x38, 0x4E }; for (int preamble = 0x00; preamble < 0x100; ++preamble) { if (preamble == 0x5E) { FieldAbsoluteDate<T> ccsds1 = FAD.parseCCSDSCalendarSegmentedTimeCode((byte) preamble, timeDay); Assert.assertEquals(0, ccsds1.durationFrom(reference).getReal(), lsb / 2); } else { try { FAD.parseCCSDSCalendarSegmentedTimeCode((byte) preamble, timeDay); Assert.fail("an exception should have been thrown"); } catch (OrekitException iae) { // expected } catch (IllegalArgumentException iae) { // should happen when preamble specifies month of year / day of month variation // since there is no month 0 in any year ... Assert.assertEquals(preamble & 0x08, 0x00); } } } // limit to microsecond byte[] timeMicrosecond = new byte[] { 0x07, -0x2E, 0x00, -0x71, 0x0C, 0x22, 0x38, 0x4E, 0x5A, 0x0C }; FieldAbsoluteDate<T> ccsds4 = FAD.parseCCSDSCalendarSegmentedTimeCode((byte) 0x5B, timeMicrosecond); Assert.assertEquals(-0.345678e-6, ccsds4.durationFrom(reference).getReal(), lsb / 2); } private <T extends RealFieldElement<T>> void doTestExpandedConstructors(final Field<T> field) throws OrekitException { Assert.assertEquals(new FieldAbsoluteDate<T>(field,new DateComponents(2002, 05, 28), new TimeComponents(15, 30, 0), TimeScalesFactory.getUTC()), new FieldAbsoluteDate<T>(field,2002, 05, 28, 15, 30, 0, TimeScalesFactory.getUTC())); Assert.assertEquals(new FieldAbsoluteDate<T>(field,new DateComponents(2002, 05, 28), TimeComponents.H00, TimeScalesFactory.getUTC()), new FieldAbsoluteDate<T>(field,2002, 05, 28, TimeScalesFactory.getUTC())); try { new FieldAbsoluteDate<T>(field,2002, 05, 28, 25, 30, 0, TimeScalesFactory.getUTC()); } catch (OrekitIllegalArgumentException oiae) { Assert.assertEquals(OrekitMessages.NON_EXISTENT_HMS_TIME, oiae.getSpecifier()); Assert.assertEquals(25, ((Integer) oiae.getParts()[0]).intValue()); Assert.assertEquals(30, ((Integer) oiae.getParts()[1]).intValue()); Assert.assertEquals( 0, ((Double) oiae.getParts()[2]).doubleValue(), 1.0e-15); } } private <T extends RealFieldElement<T>> void doTestHashcode(final Field<T> field) { FieldAbsoluteDate<T> d1 = new FieldAbsoluteDate<T>(field,new DateComponents(2006, 2, 25), new TimeComponents(17, 10, 34), utc); FieldAbsoluteDate<T> d2 = new FieldAbsoluteDate<T>(field,new DateComponents(2006, 2, 25), new TimeComponents(17, 10, 0), utc).shiftedBy(34); Assert.assertEquals(d1.hashCode(), d2.hashCode()); Assert.assertTrue(d1.hashCode() != d1.shiftedBy(1.0e-3).hashCode()); } private <T extends RealFieldElement<T>> void doTestInfinity(final Field<T> field) { Assert.assertTrue(FieldAbsoluteDate.getJulianEpoch(field).compareTo(FieldAbsoluteDate.getPastInfinity(field)) > 0); Assert.assertTrue(FieldAbsoluteDate.getJulianEpoch(field).compareTo(FieldAbsoluteDate.getFutureInfinity(field)) < 0); Assert.assertTrue(FieldAbsoluteDate.getJ2000Epoch(field).compareTo(FieldAbsoluteDate.getPastInfinity(field)) > 0); Assert.assertTrue(FieldAbsoluteDate.getJ2000Epoch(field).compareTo(FieldAbsoluteDate.getFutureInfinity(field)) < 0); Assert.assertTrue(FieldAbsoluteDate.getPastInfinity(field).compareTo(FieldAbsoluteDate.getJulianEpoch(field)) < 0); Assert.assertTrue(FieldAbsoluteDate.getPastInfinity(field).compareTo(FieldAbsoluteDate.getJ2000Epoch(field)) < 0); Assert.assertTrue(FieldAbsoluteDate.getPastInfinity(field).compareTo(FieldAbsoluteDate.getFutureInfinity(field)) < 0); Assert.assertTrue(FieldAbsoluteDate.getFutureInfinity(field).compareTo(FieldAbsoluteDate.getJulianEpoch(field)) > 0); Assert.assertTrue(FieldAbsoluteDate.getFutureInfinity(field).compareTo(FieldAbsoluteDate.getJ2000Epoch(field)) > 0); Assert.assertTrue(FieldAbsoluteDate.getFutureInfinity(field).compareTo(FieldAbsoluteDate.getPastInfinity(field)) > 0); Assert.assertTrue(Double.isInfinite(FieldAbsoluteDate.getFutureInfinity(field).durationFrom(FieldAbsoluteDate.getJ2000Epoch(field)).getReal())); Assert.assertTrue(Double.isInfinite(FieldAbsoluteDate.getFutureInfinity(field).durationFrom(FieldAbsoluteDate.getPastInfinity(field)).getReal())); Assert.assertTrue(Double.isInfinite(FieldAbsoluteDate.getPastInfinity(field).durationFrom(FieldAbsoluteDate.getJ2000Epoch(field)).getReal())); } private <T extends RealFieldElement<T>> void doTestAccuracy(final Field<T> field) { TimeScale tai = TimeScalesFactory.getTAI(); double sec = 0.281; FieldAbsoluteDate<T> t = new FieldAbsoluteDate<T>(field,2010, 6, 21, 18, 42, sec, tai); double recomputedSec = t.getComponents(tai).getTime().getSecond(); Assert.assertEquals(sec, recomputedSec, FastMath.ulp(sec)); } private <T extends RealFieldElement<T>> void doTestIterationAccuracy(final Field<T> field) { final TimeScale tai = TimeScalesFactory.getTAI(); final FieldAbsoluteDate<T> t0 = new FieldAbsoluteDate<T>(field,2010, 6, 21, 18, 42, 0.281, tai); // 0.1 is not representable exactly in double precision // we will accumulate error, between -0.5ULP and -3ULP at each iteration checkIteration(0.1, t0, 10000, 3.0, -1.19, 1.0e-4); // 0.125 is representable exactly in double precision // error will be null checkIteration(0.125, t0, 10000, 1.0e-15, 0.0, 1.0e-15); } private <T extends RealFieldElement<T>> void checkIteration(final double step, final FieldAbsoluteDate<T> t0, final int nMax, final double maxErrorFactor, final double expectedMean, final double meanTolerance) { final double epsilon = FastMath.ulp(step); FieldAbsoluteDate<T> iteratedDate = t0; double mean = 0; for (int i = 1; i < nMax; ++i) { iteratedDate = iteratedDate.shiftedBy(step); FieldAbsoluteDate<T> directDate = t0.shiftedBy(i * step); final T error = iteratedDate.durationFrom(directDate); mean += error.getReal() / (i * epsilon); Assert.assertEquals(0.0, iteratedDate.durationFrom(directDate).getReal(), maxErrorFactor * i * epsilon); } mean /= nMax; Assert.assertEquals(expectedMean, mean, meanTolerance); } private <T extends RealFieldElement<T>> void doTestIssue142(final Field<T> field) throws OrekitException { final FieldAbsoluteDate<T> epoch = FieldAbsoluteDate.getJavaEpoch(field); final TimeScale utc = TimeScalesFactory.getUTC(); Assert.assertEquals("1970-01-01T00:00:00.000", epoch.toString(utc)); Assert.assertEquals(0.0, epoch.durationFrom(new FieldAbsoluteDate<T>(field,1970, 1, 1, utc)).getReal(), 1.0e-15); Assert.assertEquals(8.000082, epoch.durationFrom(new FieldAbsoluteDate<T>(field,DateComponents.JAVA_EPOCH, TimeScalesFactory.getTAI())).getReal(), 1.0e-15); //Milliseconds - April 1, 2006, in UTC long msOffset = 1143849600000l; final FieldAbsoluteDate<T> ad = new FieldAbsoluteDate<T>(epoch,msOffset/1000, TimeScalesFactory.getUTC()); Assert.assertEquals("2006-04-01T00:00:00.000", ad.toString(utc)); } private <T extends RealFieldElement<T>> void doTestIssue148(final Field<T> field) throws OrekitException { final TimeScale utc = TimeScalesFactory.getUTC(); FieldAbsoluteDate<T> t0 = new FieldAbsoluteDate<T>(field,2012, 6, 30, 23, 59, 50.0, utc); DateTimeComponents components = t0.shiftedBy(11.0 - 200 * Precision.EPSILON).getComponents(utc); Assert.assertEquals(2012, components.getDate().getYear()); Assert.assertEquals( 6, components.getDate().getMonth()); Assert.assertEquals( 30, components.getDate().getDay()); Assert.assertEquals( 23, components.getTime().getHour()); Assert.assertEquals( 59, components.getTime().getMinute()); Assert.assertEquals( 61 - 200 * Precision.EPSILON, components.getTime().getSecond(), 1.0e-15); } private <T extends RealFieldElement<T>> void doTestIssue149(final Field<T> field) throws OrekitException { final TimeScale utc = TimeScalesFactory.getUTC(); FieldAbsoluteDate<T> t0 = new FieldAbsoluteDate<T>(field,2012, 6, 30, 23, 59, 59, utc); DateTimeComponents components = t0.shiftedBy(1.0 - Precision.EPSILON).getComponents(utc); Assert.assertEquals(2012, components.getDate().getYear()); Assert.assertEquals( 6, components.getDate().getMonth()); Assert.assertEquals( 30, components.getDate().getDay()); Assert.assertEquals( 23, components.getTime().getHour()); Assert.assertEquals( 59, components.getTime().getMinute()); Assert.assertEquals( 60 - Precision.EPSILON, components.getTime().getSecond(), 1.0e-15); } private <T extends RealFieldElement<T>> void doTestWrapAtMinuteEnd(final Field<T> field) throws OrekitException { TimeScale tai = TimeScalesFactory.getTAI(); TimeScale utc = TimeScalesFactory.getUTC(); FieldAbsoluteDate<T> date0 = new FieldAbsoluteDate<T>(field,DateComponents.J2000_EPOCH, TimeComponents.H12, tai); FieldAbsoluteDate<T> ref = date0.shiftedBy(496891466.0).shiftedBy(0.7320114066633323); FieldAbsoluteDate<T> date = ref.shiftedBy(33 * -597.9009700426262); DateTimeComponents dtc = date.getComponents(utc); Assert.assertEquals(2015, dtc.getDate().getYear()); Assert.assertEquals( 9, dtc.getDate().getMonth()); Assert.assertEquals( 30, dtc.getDate().getDay()); Assert.assertEquals( 7, dtc.getTime().getHour()); Assert.assertEquals( 54, dtc.getTime().getMinute()); Assert.assertEquals(60 - 9.094947e-13, dtc.getTime().getSecond(), 1.0e-15); Assert.assertEquals("2015-09-30T07:55:00.000", date.toString(utc)); FieldAbsoluteDate<T> beforeMidnight = new FieldAbsoluteDate<T>(field,2008, 2, 29, 23, 59, 59.9994, utc); FieldAbsoluteDate<T> stillBeforeMidnight = beforeMidnight.shiftedBy(2.0e-4); Assert.assertEquals(59.9994, beforeMidnight.getComponents(utc).getTime().getSecond(), 1.0e-15); Assert.assertEquals(59.9996, stillBeforeMidnight.getComponents(utc).getTime().getSecond(), 1.0e-15); Assert.assertEquals("2008-02-29T23:59:59.999", beforeMidnight.toString(utc)); Assert.assertEquals("2008-03-01T00:00:00.000", stillBeforeMidnight.toString(utc)); } }