1   /* Copyright 2002-2015 CS Systèmes d'Information
2    * Licensed to CS Systèmes d'Information (CS) under one or more
3    * contributor license agreements.  See the NOTICE file distributed with
4    * this work for additional information regarding copyright ownership.
5    * CS licenses this file to You under the Apache License, Version 2.0
6    * (the "License"); you may not use this file except in compliance with
7    * the License.  You may obtain a copy of the License at
8    *
9    *   http://www.apache.org/licenses/LICENSE-2.0
10   *
11   * Unless required by applicable law or agreed to in writing, software
12   * distributed under the License is distributed on an "AS IS" BASIS,
13   * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
14   * See the License for the specific language governing permissions and
15   * limitations under the License.
16   */
17  package org.orekit.data;
18  
19  import java.io.BufferedReader;
20  import java.io.IOException;
21  import java.io.InputStream;
22  import java.io.InputStreamReader;
23  import java.io.Serializable;
24  import java.util.ArrayList;
25  import java.util.Arrays;
26  import java.util.HashMap;
27  import java.util.List;
28  import java.util.Map;
29  import java.util.regex.Matcher;
30  import java.util.regex.Pattern;
31  
32  import org.apache.commons.math3.analysis.differentiation.DerivativeStructure;
33  import org.apache.commons.math3.exception.util.DummyLocalizable;
34  import org.apache.commons.math3.util.FastMath;
35  import org.orekit.errors.OrekitException;
36  import org.orekit.errors.OrekitMessages;
37  import org.orekit.time.AbsoluteDate;
38  import org.orekit.time.TimeFunction;
39  import org.orekit.time.TimeScale;
40  import org.orekit.utils.IERSConventions;
41  
42  /**
43   * Class computing the fundamental arguments for nutation and tides.
44   * <p>
45   * The fundamental arguments are split in two sets:
46   * </p>
47   * <ul>
48   *   <li>the Delaunay arguments for Moon and Sun effects</li>
49   *   <li>the planetary arguments for other planets</li>
50   * </ul>
51   *
52   * @author Luc Maisonobe
53   * @see SeriesTerm
54   * @see PoissonSeries
55   * @see BodiesElements
56   */
57  public class FundamentalNutationArguments implements Serializable {
58  
59      /** Serializable UID. */
60      private static final long serialVersionUID = 20131209L;
61  
62      /** IERS conventions to use. */
63      private final IERSConventions conventions;
64  
65      /** Time scale for GMST computation. */
66      private final TimeScale timeScale;
67  
68      /** Function computing Greenwich Mean Sidereal Time. */
69      private final transient TimeFunction<DerivativeStructure> gmstFunction;
70  
71      // luni-solar Delaunay arguments
72  
73      /** Coefficients for mean anomaly of the Moon. */
74      private final double[] lCoefficients;
75  
76      /** Coefficients for mean anomaly of the Sun. */
77      private final double[] lPrimeCoefficients;
78  
79      /** Coefficients for L - Ω where L is the mean longitude of the Moon. */
80      private final double[] fCoefficients;
81  
82      /** Coefficients for mean elongation of the Moon from the Sun. */
83      private final double[] dCoefficients;
84  
85      /** Coefficients for mean longitude of the ascending node of the Moon. */
86      private final double[] omegaCoefficients;
87  
88      // planetary nutation arguments
89  
90      /** Coefficients for mean Mercury longitude. */
91      private final double[] lMeCoefficients;
92  
93      /** Coefficients for mean Venus longitude. */
94      private final double[] lVeCoefficients;
95  
96      /** Coefficients for mean Earth longitude. */
97      private final double[] lECoefficients;
98  
99      /** Coefficients for mean Mars longitude. */
100     private final double[] lMaCoefficients;
101 
102     /** Coefficients for mean Jupiter longitude. */
103     private final double[] lJCoefficients;
104 
105     /** Coefficients for mean Saturn longitude. */
106     private final double[] lSaCoefficients;
107 
108     /** Coefficients for mean Uranus longitude. */
109     private final double[] lUCoefficients;
110 
111     /** Coefficients for mean Neptune longitude. */
112     private final double[] lNeCoefficients;
113 
114     /** Coefficients for general accumulated precession. */
115     private final double[] paCoefficients;
116 
117     /** Build a model of fundamental arguments from an IERS table file.
118      * @param conventions IERS conventions to use
119      * @param timeScale time scale for GMST computation
120      * (may be null if tide parameter γ = GMST + π is not needed)
121      * @param stream stream containing the IERS table
122      * @param name name of the resource file (for error messages only)
123      * @exception OrekitException if stream is null or the table cannot be parsed
124      */
125     public FundamentalNutationArguments(final IERSConventions conventions,
126                                         final TimeScale timeScale,
127                                         final InputStream stream, final String name)
128         throws OrekitException {
129         this(conventions, timeScale, parseCoefficients(stream, name));
130     }
131 
132     /** Build a model of fundamental arguments from an IERS table file.
133      * @param conventions IERS conventions to use
134      * @param timeScale time scale for GMST computation
135      * (may be null if tide parameter γ = GMST + π is not needed)
136      * @param coefficients list of coefficients arrays (all 14 arrays must be provided,
137      * the 5 Delaunay first and the 9 planetary afterwards)
138      * @exception OrekitException if GMST function cannot be retrieved
139      * @since 6.1
140      */
141     public FundamentalNutationArguments(final IERSConventions conventions, final TimeScale timeScale,
142                                         final List<double[]> coefficients)
143         throws OrekitException {
144         this.conventions        = conventions;
145         this.timeScale          = timeScale;
146         this.gmstFunction       = (timeScale == null) ? null : conventions.getGMSTFunction(timeScale);
147         this.lCoefficients      = coefficients.get( 0);
148         this.lPrimeCoefficients = coefficients.get( 1);
149         this.fCoefficients      = coefficients.get( 2);
150         this.dCoefficients      = coefficients.get( 3);
151         this.omegaCoefficients  = coefficients.get( 4);
152         this.lMeCoefficients    = coefficients.get( 5);
153         this.lVeCoefficients    = coefficients.get( 6);
154         this.lECoefficients     = coefficients.get( 7);
155         this.lMaCoefficients    = coefficients.get( 8);
156         this.lJCoefficients     = coefficients.get( 9);
157         this.lSaCoefficients    = coefficients.get(10);
158         this.lUCoefficients     = coefficients.get(11);
159         this.lNeCoefficients    = coefficients.get(12);
160         this.paCoefficients     = coefficients.get(13);
161     }
162 
163     /** Parse coefficients.
164      * @param stream stream containing the IERS table
165      * @param name name of the resource file (for error messages only)
166      * @return list of coefficients arrays
167      * @exception OrekitException if stream is null or the table cannot be parsed
168      */
169     private static List<double[]> parseCoefficients(final InputStream stream, final String name)
170         throws OrekitException {
171 
172         if (stream == null) {
173             throw new OrekitException(OrekitMessages.UNABLE_TO_FIND_FILE, name);
174         }
175 
176         try {
177 
178             final DefinitionParser definitionParser = new DefinitionParser();
179 
180             // setup the reader
181             final BufferedReader reader = new BufferedReader(new InputStreamReader(stream, "UTF-8"));
182             int lineNumber = 0;
183 
184             // look for the reference date and the 14 polynomials
185             final int n = FundamentalName.values().length;
186             final Map<FundamentalName, double[]> polynomials = new HashMap<FundamentalName, double[]>(n);
187             for (String line = reader.readLine(); line != null; line = reader.readLine()) {
188                 lineNumber++;
189                 if (definitionParser.parseDefinition(line, lineNumber, name)) {
190                     polynomials.put(definitionParser.getParsedName(),
191                                     definitionParser.getParsedPolynomial());
192                 }
193             }
194 
195             final List<double[]> coefficients = new ArrayList<double[]>(n);
196             coefficients.add(getCoefficients(FundamentalName.L,       polynomials, name));
197             coefficients.add(getCoefficients(FundamentalName.L_PRIME, polynomials, name));
198             coefficients.add(getCoefficients(FundamentalName.F,       polynomials, name));
199             coefficients.add(getCoefficients(FundamentalName.D,       polynomials, name));
200             coefficients.add(getCoefficients(FundamentalName.OMEGA,   polynomials, name));
201             if (polynomials.containsKey(FundamentalName.L_ME)) {
202                 // IERS conventions 2003 and later provide planetary nutation arguments
203                 coefficients.add(getCoefficients(FundamentalName.L_ME,    polynomials, name));
204                 coefficients.add(getCoefficients(FundamentalName.L_VE,    polynomials, name));
205                 coefficients.add(getCoefficients(FundamentalName.L_E,     polynomials, name));
206                 coefficients.add(getCoefficients(FundamentalName.L_MA,    polynomials, name));
207                 coefficients.add(getCoefficients(FundamentalName.L_J,     polynomials, name));
208                 coefficients.add(getCoefficients(FundamentalName.L_SA,    polynomials, name));
209                 coefficients.add(getCoefficients(FundamentalName.L_U,     polynomials, name));
210                 coefficients.add(getCoefficients(FundamentalName.L_NE,    polynomials, name));
211                 coefficients.add(getCoefficients(FundamentalName.PA,      polynomials, name));
212             } else {
213                 // IERS conventions 1996 and earlier don't provide planetary nutation arguments
214                 final double[] zero = new double[] {
215                     0.0
216                 };
217                 while (coefficients.size() < n) {
218                     coefficients.add(zero);
219                 }
220             }
221 
222             return coefficients;
223 
224         } catch (IOException ioe) {
225             throw new OrekitException(ioe, new DummyLocalizable(ioe.getMessage()));
226         }
227 
228     }
229 
230     /** Get the coefficients for a fundamental argument.
231      * @param argument fundamental argument
232      * @param polynomials map of the polynomials
233      * @param fileName name of the file from which the coefficients have been read
234      * @return polynomials coefficients (ordered from high degrees to low degrees)
235      * @exception OrekitException if the argument is not found
236      */
237     private static double[] getCoefficients(final FundamentalName argument,
238                                             final Map<FundamentalName, double[]> polynomials,
239                                             final String fileName)
240         throws OrekitException {
241         if (!polynomials.containsKey(argument)) {
242             throw new OrekitException(OrekitMessages.NOT_A_SUPPORTED_IERS_DATA_FILE, fileName);
243         }
244         return polynomials.get(argument);
245     }
246 
247     /** Evaluate a polynomial.
248      * @param tc offset in Julian centuries
249      * @param coefficients polynomial coefficients (ordered from low degrees to high degrees)
250      * @return value of the polynomial
251      */
252     private double value(final double tc, final double[] coefficients) {
253         double value = 0;
254         for (int i = coefficients.length - 1; i >= 0; --i) {
255             value = coefficients[i] + tc * value;
256         }
257         return value;
258     }
259 
260     /** Evaluate all fundamental arguments for the current date (Delaunay plus planetary).
261      * @param date current date
262      * @return all fundamental arguments for the current date (Delaunay plus planetary)
263      */
264     public BodiesElements evaluateAll(final AbsoluteDate date) {
265 
266         final double tc = conventions.evaluateTC(date);
267         final double gamma = gmstFunction == null ?
268                              Double.NaN : gmstFunction.value(date).getValue() + FastMath.PI;
269 
270         return new BodiesElements(date, tc, gamma,
271                                   value(tc, lCoefficients),      // mean anomaly of the Moon
272                                   value(tc, lPrimeCoefficients), // mean anomaly of the Sun
273                                   value(tc, fCoefficients),      // L - Ω where L is the mean longitude of the Moon
274                                   value(tc, dCoefficients),      // mean elongation of the Moon from the Sun
275                                   value(tc, omegaCoefficients),  // mean longitude of the ascending node of the Moon
276                                   value(tc, lMeCoefficients),    // mean Mercury longitude
277                                   value(tc, lVeCoefficients),    // mean Venus longitude
278                                   value(tc, lECoefficients),     // mean Earth longitude
279                                   value(tc, lMaCoefficients),    // mean Mars longitude
280                                   value(tc, lJCoefficients),     // mean Jupiter longitude
281                                   value(tc, lSaCoefficients),    // mean Saturn longitude
282                                   value(tc, lUCoefficients),     // mean Uranus longitude
283                                   value(tc, lNeCoefficients),    // mean Neptune longitude
284                                   value(tc, paCoefficients));    // general accumulated precession in longitude
285 
286     }
287 
288     /** Evaluate a polynomial.
289      * @param tc offset in Julian centuries
290      * @param coefficients polynomial coefficients (ordered from low degrees to high degrees)
291      * @return value of the polynomial
292      */
293     private DerivativeStructure value(final DerivativeStructure tc, final double[] coefficients) {
294         DerivativeStructure value = tc.getField().getZero();
295         for (int i = coefficients.length - 1; i >= 0; --i) {
296             value = value.multiply(tc).add(coefficients[i]);
297         }
298         return value;
299     }
300 
301     /** Evaluate all fundamental arguments for the current date (Delaunay plus planetary),
302      * including the first time derivative.
303      * @param date current date
304      * @return all fundamental arguments for the current date (Delaunay plus planetary),
305      * including the first time derivative
306      */
307     public FieldBodiesElements<DerivativeStructure> evaluateDerivative(final AbsoluteDate date) {
308 
309         final DerivativeStructure tc = conventions.dsEvaluateTC(date);
310 
311         return new FieldBodiesElements<DerivativeStructure>(date, tc,
312                                                             gmstFunction.value(date).add(FastMath.PI),
313                                                             value(tc, lCoefficients),      // mean anomaly of the Moon
314                                                             value(tc, lPrimeCoefficients), // mean anomaly of the Sun
315                                                             value(tc, fCoefficients),      // L - Ω where L is the mean longitude of the Moon
316                                                             value(tc, dCoefficients),      // mean elongation of the Moon from the Sun
317                                                             value(tc, omegaCoefficients),  // mean longitude of the ascending node of the Moon
318                                                             value(tc, lMeCoefficients),    // mean Mercury longitude
319                                                             value(tc, lVeCoefficients),    // mean Venus longitude
320                                                             value(tc, lECoefficients),     // mean Earth longitude
321                                                             value(tc, lMaCoefficients),    // mean Mars longitude
322                                                             value(tc, lJCoefficients),     // mean Jupiter longitude
323                                                             value(tc, lSaCoefficients),    // mean Saturn longitude
324                                                             value(tc, lUCoefficients),     // mean Uranus longitude
325                                                             value(tc, lNeCoefficients),    // mean Neptune longitude
326                                                             value(tc, paCoefficients));    // general accumulated precession in longitude
327 
328     }
329 
330     /** Replace the instance with a data transfer object for serialization.
331      * <p>
332      * This intermediate class serializes only the frame key.
333      * </p>
334      * @return data transfer object that will be serialized
335      */
336     private Object writeReplace() {
337         return new DataTransferObject(conventions, timeScale,
338                                       Arrays.asList(lCoefficients, lPrimeCoefficients, fCoefficients,
339                                                     dCoefficients, omegaCoefficients,
340                                                     lMeCoefficients, lVeCoefficients, lECoefficients,
341                                                     lMaCoefficients, lJCoefficients, lSaCoefficients,
342                                                     lUCoefficients, lNeCoefficients, paCoefficients));
343     }
344 
345     /** Internal class used only for serialization. */
346     private static class DataTransferObject implements Serializable {
347 
348         /** Serializable UID. */
349         private static final long serialVersionUID = 20131209L;
350 
351         /** IERS conventions to use. */
352         private final IERSConventions conventions;
353 
354         /** Time scale for GMST computation. */
355         private final TimeScale timeScale;
356 
357         /** All coefficients. */
358         private final List<double[]> coefficients;
359 
360         /** Simple constructor.
361          * @param conventions IERS conventions to use
362          * @param timeScale time scale for GMST computation
363          * @param coefficients all coefficients
364          */
365         public DataTransferObject(final IERSConventions conventions, final TimeScale timeScale,
366                                   final List<double[]> coefficients) {
367             this.conventions  = conventions;
368             this.timeScale    = timeScale;
369             this.coefficients = coefficients;
370         }
371 
372         /** Replace the deserialized data transfer object with a {@link TIRFProvider}.
373          * @return replacement {@link TIRFProvider}
374          */
375         private Object readResolve() {
376             try {
377                 // retrieve a managed frame
378                 return new FundamentalNutationArguments(conventions, timeScale, coefficients);
379             } catch (OrekitException oe) {
380                 throw OrekitException.createInternalError(oe);
381             }
382         }
383 
384     }
385 
386     /** Enumerate for the fundamental names. */
387     private enum FundamentalName {
388 
389         /** Constant for Mean anomaly of the Moon. */
390         L() {
391             /** {@inheritDoc} */
392             public String getArgumentName() {
393                 return "l";
394             }
395         },
396 
397         /** Constant for Mean anomaly of the Sun. */
398         L_PRIME() {
399             /** {@inheritDoc} */
400             public String getArgumentName() {
401                 return "l'";
402             }
403         },
404 
405         /** Constant for L - Ω where L is the mean longitude of the Moon. */
406         F() {
407             /** {@inheritDoc} */
408             public String getArgumentName() {
409                 return "F";
410             }
411         },
412 
413         /** Constant for mean elongation of the Moon from the Sun. */
414         D() {
415             /** {@inheritDoc} */
416             public String getArgumentName() {
417                 return "D";
418             }
419         },
420 
421         /** Constant for longitude of the ascending node of the Moon. */
422         OMEGA() {
423             /** {@inheritDoc} */
424             public String getArgumentName() {
425                 return "\u03a9";
426             }
427         },
428 
429         /** Constant for mean Mercury longitude. */
430         L_ME() {
431             /** {@inheritDoc} */
432             public String getArgumentName() {
433                 return "LMe";
434             }
435         },
436 
437         /** Constant for mean Venus longitude. */
438         L_VE() {
439             /** {@inheritDoc} */
440             public String getArgumentName() {
441                 return "LVe";
442             }
443         },
444 
445         /** Constant for mean Earth longitude. */
446         L_E() {
447             /** {@inheritDoc} */
448             public String getArgumentName() {
449                 return "LE";
450             }
451         },
452 
453         /** Constant for mean Mars longitude. */
454         L_MA() {
455             /** {@inheritDoc} */
456             public String getArgumentName() {
457                 return "LMa";
458             }
459         },
460 
461         /** Constant for mean Jupiter longitude. */
462         L_J() {
463             /** {@inheritDoc} */
464             public String getArgumentName() {
465                 return "LJ";
466             }
467         },
468 
469         /** Constant for mean Saturn longitude. */
470         L_SA() {
471             /** {@inheritDoc} */
472             public String getArgumentName() {
473                 return "LSa";
474             }
475         },
476 
477         /** Constant for mean Uranus longitude. */
478         L_U() {
479             /** {@inheritDoc} */
480             public String getArgumentName() {
481                 return "LU";
482             }
483         },
484 
485         /** Constant for mean Neptune longitude. */
486         L_NE() {
487             /** {@inheritDoc} */
488             public String getArgumentName() {
489                 return "LNe";
490             }
491         },
492 
493         /** Constant for general accumulated precession in longitude. */
494         PA() {
495             /** {@inheritDoc} */
496             public String getArgumentName() {
497                 return "pA";
498             }
499         };
500 
501         /** Get the fundamental name.
502          * @return fundamental name
503          */
504         public abstract String getArgumentName();
505 
506     }
507 
508     /** Local parser for argument definition lines. */
509     private static class DefinitionParser {
510 
511         /** Regular expression pattern for definitions. */
512         private final Pattern pattern;
513 
514         /** Parser for polynomials. */
515         private PolynomialParser polynomialParser;
516 
517         /** Last parsed fundamental name. */
518         private FundamentalName parsedName;
519 
520         /** Last parsed polynomial. */
521         private double[] parsedPolynomial;
522 
523         /** Simple constructor. */
524         public DefinitionParser() {
525 
526             // the luni-solar Delaunay arguments polynomial parts should read something like:
527             // F5 ≡ Ω = 125.04455501° − 6962890.5431″t + 7.4722″t² + 0.007702″t³ − 0.00005939″t⁴
528             // whereas the planetary arguments polynomial parts should read something like:
529             // F14 ≡ pA  = 0.02438175 × t + 0.00000538691 × t²
530             final String unicodeIdenticalTo = "\u2261";
531 
532             // pattern for the global line
533             final StringBuilder builder = new StringBuilder();
534             for (final FundamentalName fn : FundamentalName.values()) {
535                 if (builder.length() > 0) {
536                     builder.append('|');
537                 }
538                 builder.append(fn.getArgumentName());
539             }
540             final String fundamentalName = "\\p{Space}*((?:" + builder.toString() + ")+)";
541             pattern = Pattern.compile("\\p{Space}*F\\p{Digit}+\\p{Space}*" + unicodeIdenticalTo +
542                                       fundamentalName + "\\p{Space}*=\\p{Space}*(.*)");
543 
544             polynomialParser = new PolynomialParser('t', PolynomialParser.Unit.NO_UNITS);
545 
546         }
547 
548         /** Parse a definition line.
549          * @param line line to parse
550          * @param lineNumber line number
551          * @param fileName name of the file
552          * @return true if a definition has been parsed
553          */
554         public boolean parseDefinition(final String line, final int lineNumber, final String fileName) {
555 
556             parsedName       = null;
557             parsedPolynomial = null;
558 
559             final Matcher matcher = pattern.matcher(line);
560             if (matcher.matches()) {
561                 for (FundamentalName fn : FundamentalName.values()) {
562                     if (fn.getArgumentName().equals(matcher.group(1))) {
563                         parsedName = fn;
564                     }
565                 }
566 
567                 // parse the polynomial
568                 parsedPolynomial = polynomialParser.parse(matcher.group(2));
569 
570                 return true;
571 
572             } else {
573                 return false;
574             }
575 
576         }
577 
578         /** Get the last parsed fundamental name.
579          * @return last parsed fundamental name
580          */
581         public FundamentalName getParsedName() {
582             return parsedName;
583         }
584 
585         /** Get the last parsed polynomial.
586          * @return last parsed polynomial
587          */
588         public double[] getParsedPolynomial() {
589             return parsedPolynomial.clone();
590         }
591 
592     }
593 
594 }