1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
|
// © 2016 and later: Unicode, Inc. and others.
// License & terms of use: http://www.unicode.org/copyright.html
/************************************************************************
* Copyright (C) 1996-2008, International Business Machines Corporation *
* and others. All Rights Reserved. *
************************************************************************
* 2003-nov-07 srl Port from Java
*/
#ifndef ASTRO_H
#define ASTRO_H
#include "unicode/utypes.h"
#if !UCONFIG_NO_FORMATTING
#include "gregoimp.h" // for Math
#include "unicode/unistr.h"
U_NAMESPACE_BEGIN
/**
* <code>CalendarAstronomer</code> is a class that can perform the calculations to
* determine the positions of the sun and moon, the time of sunrise and
* sunset, and other astronomy-related data. The calculations it performs
* are in some cases quite complicated, and this utility class saves you
* the trouble of worrying about them.
* <p>
* The measurement of time is a very important part of astronomy. Because
* astronomical bodies are constantly in motion, observations are only valid
* at a given moment in time. Accordingly, each <code>CalendarAstronomer</code>
* object has a <code>time</code> property that determines the date
* and time for which its calculations are performed. You can set and
* retrieve this property with {@link #setDate setDate}, {@link #getDate getDate}
* and related methods.
* <p>
* Almost all of the calculations performed by this class, or by any
* astronomer, are approximations to various degrees of accuracy. The
* calculations in this class are mostly modelled after those described
* in the book
* <a href="http://www.amazon.com/exec/obidos/ISBN=0521356997" target="_top">
* Practical Astronomy With Your Calculator</a>, by Peter J.
* Duffett-Smith, Cambridge University Press, 1990. This is an excellent
* book, and if you want a greater understanding of how these calculations
* are performed it a very good, readable starting point.
* <p>
* <strong>WARNING:</strong> This class is very early in its development, and
* it is highly likely that its API will change to some degree in the future.
* At the moment, it basically does just enough to support {@link IslamicCalendar}
* and {@link ChineseCalendar}.
*
* @author Laura Werner
* @author Alan Liu
* @internal
*/
class U_I18N_API CalendarAstronomer : public UMemory {
public:
// some classes
public:
/**
* Represents the position of an object in the sky relative to the ecliptic,
* the plane of the earth's orbit around the Sun.
* This is a spherical coordinate system in which the latitude
* specifies the position north or south of the plane of the ecliptic.
* The longitude specifies the position along the ecliptic plane
* relative to the "First Point of Aries", which is the Sun's position in the sky
* at the Vernal Equinox.
* <p>
* Note that Ecliptic objects are immutable and cannot be modified
* once they are constructed. This allows them to be passed and returned by
* value without worrying about whether other code will modify them.
*
* @see CalendarAstronomer.Equatorial
* @see CalendarAstronomer.Horizon
* @internal
*/
class U_I18N_API Ecliptic : public UMemory {
public:
/**
* Constructs an Ecliptic coordinate object.
* <p>
* @param lat The ecliptic latitude, measured in radians.
* @param lon The ecliptic longitude, measured in radians.
* @internal
*/
Ecliptic(double lat = 0, double lon = 0) {
latitude = lat;
longitude = lon;
}
/**
* Setter for Ecliptic Coordinate object
* @param lat The ecliptic latitude, measured in radians.
* @param lon The ecliptic longitude, measured in radians.
* @internal
*/
void set(double lat, double lon) {
latitude = lat;
longitude = lon;
}
/**
* Return a string representation of this object
* @internal
*/
UnicodeString toString() const;
/**
* The ecliptic latitude, in radians. This specifies an object's
* position north or south of the plane of the ecliptic,
* with positive angles representing north.
* @internal
*/
double latitude;
/**
* The ecliptic longitude, in radians.
* This specifies an object's position along the ecliptic plane
* relative to the "First Point of Aries", which is the Sun's position
* in the sky at the Vernal Equinox,
* with positive angles representing east.
* <p>
* A bit of trivia: the first point of Aries is currently in the
* constellation Pisces, due to the precession of the earth's axis.
* @internal
*/
double longitude;
};
/**
* Represents the position of an
* object in the sky relative to the plane of the earth's equator.
* The <i>Right Ascension</i> specifies the position east or west
* along the equator, relative to the sun's position at the vernal
* equinox. The <i>Declination</i> is the position north or south
* of the equatorial plane.
* <p>
* Note that Equatorial objects are immutable and cannot be modified
* once they are constructed. This allows them to be passed and returned by
* value without worrying about whether other code will modify them.
*
* @see CalendarAstronomer.Ecliptic
* @see CalendarAstronomer.Horizon
* @internal
*/
class U_I18N_API Equatorial : public UMemory {
public:
/**
* Constructs an Equatorial coordinate object.
* <p>
* @param asc The right ascension, measured in radians.
* @param dec The declination, measured in radians.
* @internal
*/
Equatorial(double asc = 0, double dec = 0)
: ascension(asc), declination(dec) { }
/**
* Setter
* @param asc The right ascension, measured in radians.
* @param dec The declination, measured in radians.
* @internal
*/
void set(double asc, double dec) {
ascension = asc;
declination = dec;
}
/**
* Return a string representation of this object, with the
* angles measured in degrees.
* @internal
*/
UnicodeString toString() const;
/**
* Return a string representation of this object with the right ascension
* measured in hours, minutes, and seconds.
* @internal
*/
//String toHmsString() {
//return radToHms(ascension) + "," + radToDms(declination);
//}
/**
* The right ascension, in radians.
* This is the position east or west along the equator
* relative to the sun's position at the vernal equinox,
* with positive angles representing East.
* @internal
*/
double ascension;
/**
* The declination, in radians.
* This is the position north or south of the equatorial plane,
* with positive angles representing north.
* @internal
*/
double declination;
};
/**
* Represents the position of an object in the sky relative to
* the local horizon.
* The <i>Altitude</i> represents the object's elevation above the horizon,
* with objects below the horizon having a negative altitude.
* The <i>Azimuth</i> is the geographic direction of the object from the
* observer's position, with 0 representing north. The azimuth increases
* clockwise from north.
* <p>
* Note that Horizon objects are immutable and cannot be modified
* once they are constructed. This allows them to be passed and returned by
* value without worrying about whether other code will modify them.
*
* @see CalendarAstronomer.Ecliptic
* @see CalendarAstronomer.Equatorial
* @internal
*/
class U_I18N_API Horizon : public UMemory {
public:
/**
* Constructs a Horizon coordinate object.
* <p>
* @param alt The altitude, measured in radians above the horizon.
* @param azim The azimuth, measured in radians clockwise from north.
* @internal
*/
Horizon(double alt=0, double azim=0)
: altitude(alt), azimuth(azim) { }
/**
* Setter for Ecliptic Coordinate object
* @param alt The altitude, measured in radians above the horizon.
* @param azim The azimuth, measured in radians clockwise from north.
* @internal
*/
void set(double alt, double azim) {
altitude = alt;
azimuth = azim;
}
/**
* Return a string representation of this object, with the
* angles measured in degrees.
* @internal
*/
UnicodeString toString() const;
/**
* The object's altitude above the horizon, in radians.
* @internal
*/
double altitude;
/**
* The object's direction, in radians clockwise from north.
* @internal
*/
double azimuth;
};
public:
//-------------------------------------------------------------------------
// Assorted private data used for conversions
//-------------------------------------------------------------------------
// My own copies of these so compilers are more likely to optimize them away
static const double PI;
/**
* The average number of solar days from one new moon to the next. This is the time
* it takes for the moon to return the same ecliptic longitude as the sun.
* It is longer than the sidereal month because the sun's longitude increases
* during the year due to the revolution of the earth around the sun.
* Approximately 29.53.
*
* @see #SIDEREAL_MONTH
* @internal
* @deprecated ICU 2.4. This class may be removed or modified.
*/
static const double SYNODIC_MONTH;
//-------------------------------------------------------------------------
// Constructors
//-------------------------------------------------------------------------
/**
* Construct a new <code>CalendarAstronomer</code> object that is initialized to
* the current date and time.
* @internal
*/
CalendarAstronomer();
/**
* Construct a new <code>CalendarAstronomer</code> object that is initialized to
* the specified date and time.
* @internal
*/
CalendarAstronomer(UDate d);
/**
* Construct a new <code>CalendarAstronomer</code> object with the given
* latitude and longitude. The object's time is set to the current
* date and time.
* <p>
* @param longitude The desired longitude, in <em>degrees</em> east of
* the Greenwich meridian.
*
* @param latitude The desired latitude, in <em>degrees</em>. Positive
* values signify North, negative South.
*
* @see java.util.Date#getTime()
* @internal
*/
CalendarAstronomer(double longitude, double latitude);
/**
* Destructor
* @internal
*/
~CalendarAstronomer();
//-------------------------------------------------------------------------
// Time and date getters and setters
//-------------------------------------------------------------------------
/**
* Set the current date and time of this <code>CalendarAstronomer</code> object. All
* astronomical calculations are performed based on this time setting.
*
* @param aTime the date and time, expressed as the number of milliseconds since
* 1/1/1970 0:00 GMT (Gregorian).
*
* @see #setDate
* @see #getTime
* @internal
*/
void setTime(UDate aTime);
/**
* Set the current date and time of this <code>CalendarAstronomer</code> object. All
* astronomical calculations are performed based on this time setting.
*
* @param aTime the date and time, expressed as the number of milliseconds since
* 1/1/1970 0:00 GMT (Gregorian).
*
* @see #getTime
* @internal
*/
void setDate(UDate aDate) { setTime(aDate); }
/**
* Set the current date and time of this <code>CalendarAstronomer</code> object. All
* astronomical calculations are performed based on this time setting.
*
* @param jdn the desired time, expressed as a "julian day number",
* which is the number of elapsed days since
* 1/1/4713 BC (Julian), 12:00 GMT. Note that julian day
* numbers start at <em>noon</em>. To get the jdn for
* the corresponding midnight, subtract 0.5.
*
* @see #getJulianDay
* @see #JULIAN_EPOCH_MS
* @internal
*/
void setJulianDay(double jdn);
/**
* Get the current time of this <code>CalendarAstronomer</code> object,
* represented as the number of milliseconds since
* 1/1/1970 AD 0:00 GMT (Gregorian).
*
* @see #setTime
* @see #getDate
* @internal
*/
UDate getTime();
/**
* Get the current time of this <code>CalendarAstronomer</code> object,
* expressed as a "julian day number", which is the number of elapsed
* days since 1/1/4713 BC (Julian), 12:00 GMT.
*
* @see #setJulianDay
* @see #JULIAN_EPOCH_MS
* @internal
*/
double getJulianDay();
/**
* Return this object's time expressed in julian centuries:
* the number of centuries after 1/1/1900 AD, 12:00 GMT
*
* @see #getJulianDay
* @internal
*/
double getJulianCentury();
/**
* Returns the current Greenwich sidereal time, measured in hours
* @internal
*/
double getGreenwichSidereal();
private:
double getSiderealOffset();
public:
/**
* Returns the current local sidereal time, measured in hours
* @internal
*/
double getLocalSidereal();
/**
* Converts local sidereal time to Universal Time.
*
* @param lst The Local Sidereal Time, in hours since sidereal midnight
* on this object's current date.
*
* @return The corresponding Universal Time, in milliseconds since
* 1 Jan 1970, GMT.
*/
//private:
double lstToUT(double lst);
/**
*
* Convert from ecliptic to equatorial coordinates.
*
* @param ecliptic The ecliptic
* @param result Fillin result
* @return reference to result
*/
Equatorial& eclipticToEquatorial(Equatorial& result, const Ecliptic& ecliptic);
/**
* Convert from ecliptic to equatorial coordinates.
*
* @param eclipLong The ecliptic longitude
* @param eclipLat The ecliptic latitude
*
* @return The corresponding point in equatorial coordinates.
* @internal
*/
Equatorial& eclipticToEquatorial(Equatorial& result, double eclipLong, double eclipLat);
/**
* Convert from ecliptic longitude to equatorial coordinates.
*
* @param eclipLong The ecliptic longitude
*
* @return The corresponding point in equatorial coordinates.
* @internal
*/
Equatorial& eclipticToEquatorial(Equatorial& result, double eclipLong) ;
/**
* @internal
*/
Horizon& eclipticToHorizon(Horizon& result, double eclipLong) ;
//-------------------------------------------------------------------------
// The Sun
//-------------------------------------------------------------------------
/**
* The longitude of the sun at the time specified by this object.
* The longitude is measured in radians along the ecliptic
* from the "first point of Aries," the point at which the ecliptic
* crosses the earth's equatorial plane at the vernal equinox.
* <p>
* Currently, this method uses an approximation of the two-body Kepler's
* equation for the earth and the sun. It does not take into account the
* perturbations caused by the other planets, the moon, etc.
* @internal
*/
double getSunLongitude();
/**
* TODO Make this public when the entire class is package-private.
*/
/*public*/ void getSunLongitude(double julianDay, double &longitude, double &meanAnomaly);
/**
* The position of the sun at this object's current date and time,
* in equatorial coordinates.
* @param result fillin for the result
* @internal
*/
Equatorial& getSunPosition(Equatorial& result);
public:
/**
* Constant representing the vernal equinox.
* For use with {@link #getSunTime getSunTime}.
* Note: In this case, "vernal" refers to the northern hemisphere's seasons.
* @internal
*/
// static double VERNAL_EQUINOX();
/**
* Constant representing the summer solstice.
* For use with {@link #getSunTime getSunTime}.
* Note: In this case, "summer" refers to the northern hemisphere's seasons.
* @internal
*/
static double SUMMER_SOLSTICE();
/**
* Constant representing the autumnal equinox.
* For use with {@link #getSunTime getSunTime}.
* Note: In this case, "autumn" refers to the northern hemisphere's seasons.
* @internal
*/
// static double AUTUMN_EQUINOX();
/**
* Constant representing the winter solstice.
* For use with {@link #getSunTime getSunTime}.
* Note: In this case, "winter" refers to the northern hemisphere's seasons.
* @internal
*/
static double WINTER_SOLSTICE();
/**
* Find the next time at which the sun's ecliptic longitude will have
* the desired value.
* @internal
*/
UDate getSunTime(double desired, UBool next);
/**
* Returns the time (GMT) of sunrise or sunset on the local date to which
* this calendar is currently set.
*
* NOTE: This method only works well if this object is set to a
* time near local noon. Because of variations between the local
* official time zone and the geographic longitude, the
* computation can flop over into an adjacent day if this object
* is set to a time near local midnight.
*
* @internal
*/
UDate getSunRiseSet(UBool rise);
//-------------------------------------------------------------------------
// The Moon
//-------------------------------------------------------------------------
/**
* The position of the moon at the time set on this
* object, in equatorial coordinates.
* @internal
* @return const reference to internal field of calendar astronomer. Do not use outside of the lifetime of this astronomer.
*/
const Equatorial& getMoonPosition();
/**
* The "age" of the moon at the time specified in this object.
* This is really the angle between the
* current ecliptic longitudes of the sun and the moon,
* measured in radians.
*
* @see #getMoonPhase
* @internal
*/
double getMoonAge();
/**
* Calculate the phase of the moon at the time set in this object.
* The returned phase is a <code>double</code> in the range
* <code>0 <= phase < 1</code>, interpreted as follows:
* <ul>
* <li>0.00: New moon
* <li>0.25: First quarter
* <li>0.50: Full moon
* <li>0.75: Last quarter
* </ul>
*
* @see #getMoonAge
* @internal
*/
double getMoonPhase();
class U_I18N_API MoonAge : public UMemory {
public:
MoonAge(double l)
: value(l) { }
void set(double l) { value = l; }
double value;
};
/**
* Constant representing a new moon.
* For use with {@link #getMoonTime getMoonTime}
* @internal
*/
static const MoonAge NEW_MOON();
/**
* Constant representing the moon's first quarter.
* For use with {@link #getMoonTime getMoonTime}
* @internal
*/
// static const MoonAge FIRST_QUARTER();
/**
* Constant representing a full moon.
* For use with {@link #getMoonTime getMoonTime}
* @internal
*/
static const MoonAge FULL_MOON();
/**
* Constant representing the moon's last quarter.
* For use with {@link #getMoonTime getMoonTime}
* @internal
*/
// static const MoonAge LAST_QUARTER();
/**
* Find the next or previous time at which the Moon's ecliptic
* longitude will have the desired value.
* <p>
* @param desired The desired longitude.
* @param next <tt>true</tt> if the next occurrance of the phase
* is desired, <tt>false</tt> for the previous occurrance.
* @internal
*/
UDate getMoonTime(double desired, UBool next);
UDate getMoonTime(const MoonAge& desired, UBool next);
/**
* Returns the time (GMT) of sunrise or sunset on the local date to which
* this calendar is currently set.
* @internal
*/
UDate getMoonRiseSet(UBool rise);
//-------------------------------------------------------------------------
// Interpolation methods for finding the time at which a given event occurs
//-------------------------------------------------------------------------
// private
class AngleFunc : public UMemory {
public:
virtual double eval(CalendarAstronomer&) = 0;
virtual ~AngleFunc();
};
friend class AngleFunc;
UDate timeOfAngle(AngleFunc& func, double desired,
double periodDays, double epsilon, UBool next);
class CoordFunc : public UMemory {
public:
virtual void eval(Equatorial& result, CalendarAstronomer&) = 0;
virtual ~CoordFunc();
};
friend class CoordFunc;
double riseOrSet(CoordFunc& func, UBool rise,
double diameter, double refraction,
double epsilon);
//-------------------------------------------------------------------------
// Other utility methods
//-------------------------------------------------------------------------
private:
/**
* Return the obliquity of the ecliptic (the angle between the ecliptic
* and the earth's equator) at the current time. This varies due to
* the precession of the earth's axis.
*
* @return the obliquity of the ecliptic relative to the equator,
* measured in radians.
*/
double eclipticObliquity();
//-------------------------------------------------------------------------
// Private data
//-------------------------------------------------------------------------
private:
/**
* Current time in milliseconds since 1/1/1970 AD
* @see java.util.Date#getTime
*/
UDate fTime;
/* These aren't used yet, but they'll be needed for sunset calculations
* and equatorial to horizon coordinate conversions
*/
double fLongitude;
double fLatitude;
double fGmtOffset;
//
// The following fields are used to cache calculated results for improved
// performance. These values all depend on the current time setting
// of this object, so the clearCache method is provided.
//
double julianDay;
double julianCentury;
double sunLongitude;
double meanAnomalySun;
double moonLongitude;
double moonEclipLong;
double meanAnomalyMoon;
double eclipObliquity;
double siderealT0;
double siderealTime;
void clearCache();
Equatorial moonPosition;
UBool moonPositionSet;
/**
* @internal
*/
// UDate local(UDate localMillis);
};
U_NAMESPACE_END
struct UHashtable;
U_NAMESPACE_BEGIN
/**
* Cache of month -> julian day
* @internal
*/
class CalendarCache : public UMemory {
public:
static int32_t get(CalendarCache** cache, int32_t key, UErrorCode &status);
static void put(CalendarCache** cache, int32_t key, int32_t value, UErrorCode &status);
virtual ~CalendarCache();
private:
CalendarCache(int32_t size, UErrorCode& status);
static void createCache(CalendarCache** cache, UErrorCode& status);
/**
* not implemented
*/
CalendarCache();
UHashtable *fTable;
};
U_NAMESPACE_END
#endif
#endif
|