1 // © 2016 and later: Unicode, Inc. and others. 2 // License & terms of use: http://www.unicode.org/copyright.html 3 /************************************************************************ 4 * Copyright (C) 1996-2008, International Business Machines Corporation * 5 * and others. All Rights Reserved. * 6 ************************************************************************ 7 * 2003-nov-07 srl Port from Java 8 */ 9 10 #ifndef ASTRO_H 11 #define ASTRO_H 12 13 #include "unicode/utypes.h" 14 15 #if !UCONFIG_NO_FORMATTING 16 17 #include "gregoimp.h" // for Math 18 #include "unicode/unistr.h" 19 20 U_NAMESPACE_BEGIN 21 22 /** 23 * <code>CalendarAstronomer</code> is a class that can perform the calculations to 24 * determine the positions of the sun and moon, the time of sunrise and 25 * sunset, and other astronomy-related data. The calculations it performs 26 * are in some cases quite complicated, and this utility class saves you 27 * the trouble of worrying about them. 28 * <p> 29 * The measurement of time is a very important part of astronomy. Because 30 * astronomical bodies are constantly in motion, observations are only valid 31 * at a given moment in time. Accordingly, each <code>CalendarAstronomer</code> 32 * object has a <code>time</code> property that determines the date 33 * and time for which its calculations are performed. You can set and 34 * retrieve this property with {@link #setDate setDate}, {@link #getDate getDate} 35 * and related methods. 36 * <p> 37 * Almost all of the calculations performed by this class, or by any 38 * astronomer, are approximations to various degrees of accuracy. The 39 * calculations in this class are mostly modelled after those described 40 * in the book 41 * <a href="http://www.amazon.com/exec/obidos/ISBN=0521356997" target="_top"> 42 * Practical Astronomy With Your Calculator</a>, by Peter J. 43 * Duffett-Smith, Cambridge University Press, 1990. This is an excellent 44 * book, and if you want a greater understanding of how these calculations 45 * are performed it a very good, readable starting point. 46 * <p> 47 * <strong>WARNING:</strong> This class is very early in its development, and 48 * it is highly likely that its API will change to some degree in the future. 49 * At the moment, it basically does just enough to support {@link IslamicCalendar} 50 * and {@link ChineseCalendar}. 51 * 52 * @author Laura Werner 53 * @author Alan Liu 54 * @internal 55 */ 56 class U_I18N_API CalendarAstronomer : public UMemory { 57 public: 58 // some classes 59 60 public: 61 /** 62 * Represents the position of an object in the sky relative to the ecliptic, 63 * the plane of the earth's orbit around the Sun. 64 * This is a spherical coordinate system in which the latitude 65 * specifies the position north or south of the plane of the ecliptic. 66 * The longitude specifies the position along the ecliptic plane 67 * relative to the "First Point of Aries", which is the Sun's position in the sky 68 * at the Vernal Equinox. 69 * <p> 70 * Note that Ecliptic objects are immutable and cannot be modified 71 * once they are constructed. This allows them to be passed and returned by 72 * value without worrying about whether other code will modify them. 73 * 74 * @see CalendarAstronomer.Equatorial 75 * @see CalendarAstronomer.Horizon 76 * @internal 77 */ 78 class U_I18N_API Ecliptic : public UMemory { 79 public: 80 /** 81 * Constructs an Ecliptic coordinate object. 82 * <p> 83 * @param lat The ecliptic latitude, measured in radians. 84 * @param lon The ecliptic longitude, measured in radians. 85 * @internal 86 */ 87 Ecliptic(double lat = 0, double lon = 0) { 88 latitude = lat; 89 longitude = lon; 90 } 91 92 /** 93 * Setter for Ecliptic Coordinate object 94 * @param lat The ecliptic latitude, measured in radians. 95 * @param lon The ecliptic longitude, measured in radians. 96 * @internal 97 */ set(double lat,double lon)98 void set(double lat, double lon) { 99 latitude = lat; 100 longitude = lon; 101 } 102 103 /** 104 * Return a string representation of this object 105 * @internal 106 */ 107 UnicodeString toString() const; 108 109 /** 110 * The ecliptic latitude, in radians. This specifies an object's 111 * position north or south of the plane of the ecliptic, 112 * with positive angles representing north. 113 * @internal 114 */ 115 double latitude; 116 117 /** 118 * The ecliptic longitude, in radians. 119 * This specifies an object's position along the ecliptic plane 120 * relative to the "First Point of Aries", which is the Sun's position 121 * in the sky at the Vernal Equinox, 122 * with positive angles representing east. 123 * <p> 124 * A bit of trivia: the first point of Aries is currently in the 125 * constellation Pisces, due to the precession of the earth's axis. 126 * @internal 127 */ 128 double longitude; 129 }; 130 131 /** 132 * Represents the position of an 133 * object in the sky relative to the plane of the earth's equator. 134 * The <i>Right Ascension</i> specifies the position east or west 135 * along the equator, relative to the sun's position at the vernal 136 * equinox. The <i>Declination</i> is the position north or south 137 * of the equatorial plane. 138 * <p> 139 * Note that Equatorial objects are immutable and cannot be modified 140 * once they are constructed. This allows them to be passed and returned by 141 * value without worrying about whether other code will modify them. 142 * 143 * @see CalendarAstronomer.Ecliptic 144 * @see CalendarAstronomer.Horizon 145 * @internal 146 */ 147 class U_I18N_API Equatorial : public UMemory { 148 public: 149 /** 150 * Constructs an Equatorial coordinate object. 151 * <p> 152 * @param asc The right ascension, measured in radians. 153 * @param dec The declination, measured in radians. 154 * @internal 155 */ 156 Equatorial(double asc = 0, double dec = 0) ascension(asc)157 : ascension(asc), declination(dec) { } 158 159 /** 160 * Setter 161 * @param asc The right ascension, measured in radians. 162 * @param dec The declination, measured in radians. 163 * @internal 164 */ set(double asc,double dec)165 void set(double asc, double dec) { 166 ascension = asc; 167 declination = dec; 168 } 169 170 /** 171 * Return a string representation of this object, with the 172 * angles measured in degrees. 173 * @internal 174 */ 175 UnicodeString toString() const; 176 177 /** 178 * Return a string representation of this object with the right ascension 179 * measured in hours, minutes, and seconds. 180 * @internal 181 */ 182 //String toHmsString() { 183 //return radToHms(ascension) + "," + radToDms(declination); 184 //} 185 186 /** 187 * The right ascension, in radians. 188 * This is the position east or west along the equator 189 * relative to the sun's position at the vernal equinox, 190 * with positive angles representing East. 191 * @internal 192 */ 193 double ascension; 194 195 /** 196 * The declination, in radians. 197 * This is the position north or south of the equatorial plane, 198 * with positive angles representing north. 199 * @internal 200 */ 201 double declination; 202 }; 203 204 /** 205 * Represents the position of an object in the sky relative to 206 * the local horizon. 207 * The <i>Altitude</i> represents the object's elevation above the horizon, 208 * with objects below the horizon having a negative altitude. 209 * The <i>Azimuth</i> is the geographic direction of the object from the 210 * observer's position, with 0 representing north. The azimuth increases 211 * clockwise from north. 212 * <p> 213 * Note that Horizon objects are immutable and cannot be modified 214 * once they are constructed. This allows them to be passed and returned by 215 * value without worrying about whether other code will modify them. 216 * 217 * @see CalendarAstronomer.Ecliptic 218 * @see CalendarAstronomer.Equatorial 219 * @internal 220 */ 221 class U_I18N_API Horizon : public UMemory { 222 public: 223 /** 224 * Constructs a Horizon coordinate object. 225 * <p> 226 * @param alt The altitude, measured in radians above the horizon. 227 * @param azim The azimuth, measured in radians clockwise from north. 228 * @internal 229 */ 230 Horizon(double alt=0, double azim=0) altitude(alt)231 : altitude(alt), azimuth(azim) { } 232 233 /** 234 * Setter for Ecliptic Coordinate object 235 * @param alt The altitude, measured in radians above the horizon. 236 * @param azim The azimuth, measured in radians clockwise from north. 237 * @internal 238 */ set(double alt,double azim)239 void set(double alt, double azim) { 240 altitude = alt; 241 azimuth = azim; 242 } 243 244 /** 245 * Return a string representation of this object, with the 246 * angles measured in degrees. 247 * @internal 248 */ 249 UnicodeString toString() const; 250 251 /** 252 * The object's altitude above the horizon, in radians. 253 * @internal 254 */ 255 double altitude; 256 257 /** 258 * The object's direction, in radians clockwise from north. 259 * @internal 260 */ 261 double azimuth; 262 }; 263 264 public: 265 //------------------------------------------------------------------------- 266 // Assorted private data used for conversions 267 //------------------------------------------------------------------------- 268 269 // My own copies of these so compilers are more likely to optimize them away 270 static const double PI; 271 272 /** 273 * The average number of solar days from one new moon to the next. This is the time 274 * it takes for the moon to return the same ecliptic longitude as the sun. 275 * It is longer than the sidereal month because the sun's longitude increases 276 * during the year due to the revolution of the earth around the sun. 277 * Approximately 29.53. 278 * 279 * @see #SIDEREAL_MONTH 280 * @internal 281 * @deprecated ICU 2.4. This class may be removed or modified. 282 */ 283 static const double SYNODIC_MONTH; 284 285 //------------------------------------------------------------------------- 286 // Constructors 287 //------------------------------------------------------------------------- 288 289 /** 290 * Construct a new <code>CalendarAstronomer</code> object that is initialized to 291 * the current date and time. 292 * @internal 293 */ 294 CalendarAstronomer(); 295 296 /** 297 * Construct a new <code>CalendarAstronomer</code> object that is initialized to 298 * the specified date and time. 299 * @internal 300 */ 301 CalendarAstronomer(UDate d); 302 303 /** 304 * Construct a new <code>CalendarAstronomer</code> object with the given 305 * latitude and longitude. The object's time is set to the current 306 * date and time. 307 * <p> 308 * @param longitude The desired longitude, in <em>degrees</em> east of 309 * the Greenwich meridian. 310 * 311 * @param latitude The desired latitude, in <em>degrees</em>. Positive 312 * values signify North, negative South. 313 * 314 * @see java.util.Date#getTime() 315 * @internal 316 */ 317 CalendarAstronomer(double longitude, double latitude); 318 319 /** 320 * Destructor 321 * @internal 322 */ 323 ~CalendarAstronomer(); 324 325 //------------------------------------------------------------------------- 326 // Time and date getters and setters 327 //------------------------------------------------------------------------- 328 329 /** 330 * Set the current date and time of this <code>CalendarAstronomer</code> object. All 331 * astronomical calculations are performed based on this time setting. 332 * 333 * @param aTime the date and time, expressed as the number of milliseconds since 334 * 1/1/1970 0:00 GMT (Gregorian). 335 * 336 * @see #setDate 337 * @see #getTime 338 * @internal 339 */ 340 void setTime(UDate aTime); 341 342 343 /** 344 * Set the current date and time of this <code>CalendarAstronomer</code> object. All 345 * astronomical calculations are performed based on this time setting. 346 * 347 * @param aTime the date and time, expressed as the number of milliseconds since 348 * 1/1/1970 0:00 GMT (Gregorian). 349 * 350 * @see #getTime 351 * @internal 352 */ setDate(UDate aDate)353 void setDate(UDate aDate) { setTime(aDate); } 354 355 /** 356 * Set the current date and time of this <code>CalendarAstronomer</code> object. All 357 * astronomical calculations are performed based on this time setting. 358 * 359 * @param jdn the desired time, expressed as a "julian day number", 360 * which is the number of elapsed days since 361 * 1/1/4713 BC (Julian), 12:00 GMT. Note that julian day 362 * numbers start at <em>noon</em>. To get the jdn for 363 * the corresponding midnight, subtract 0.5. 364 * 365 * @see #getJulianDay 366 * @see #JULIAN_EPOCH_MS 367 * @internal 368 */ 369 void setJulianDay(double jdn); 370 371 /** 372 * Get the current time of this <code>CalendarAstronomer</code> object, 373 * represented as the number of milliseconds since 374 * 1/1/1970 AD 0:00 GMT (Gregorian). 375 * 376 * @see #setTime 377 * @see #getDate 378 * @internal 379 */ 380 UDate getTime(); 381 382 /** 383 * Get the current time of this <code>CalendarAstronomer</code> object, 384 * expressed as a "julian day number", which is the number of elapsed 385 * days since 1/1/4713 BC (Julian), 12:00 GMT. 386 * 387 * @see #setJulianDay 388 * @see #JULIAN_EPOCH_MS 389 * @internal 390 */ 391 double getJulianDay(); 392 393 /** 394 * Return this object's time expressed in julian centuries: 395 * the number of centuries after 1/1/1900 AD, 12:00 GMT 396 * 397 * @see #getJulianDay 398 * @internal 399 */ 400 double getJulianCentury(); 401 402 /** 403 * Returns the current Greenwich sidereal time, measured in hours 404 * @internal 405 */ 406 double getGreenwichSidereal(); 407 408 private: 409 double getSiderealOffset(); 410 public: 411 /** 412 * Returns the current local sidereal time, measured in hours 413 * @internal 414 */ 415 double getLocalSidereal(); 416 417 /** 418 * Converts local sidereal time to Universal Time. 419 * 420 * @param lst The Local Sidereal Time, in hours since sidereal midnight 421 * on this object's current date. 422 * 423 * @return The corresponding Universal Time, in milliseconds since 424 * 1 Jan 1970, GMT. 425 */ 426 //private: 427 double lstToUT(double lst); 428 429 /** 430 * 431 * Convert from ecliptic to equatorial coordinates. 432 * 433 * @param ecliptic The ecliptic 434 * @param result Fillin result 435 * @return reference to result 436 */ 437 Equatorial& eclipticToEquatorial(Equatorial& result, const Ecliptic& ecliptic); 438 439 /** 440 * Convert from ecliptic to equatorial coordinates. 441 * 442 * @param eclipLong The ecliptic longitude 443 * @param eclipLat The ecliptic latitude 444 * 445 * @return The corresponding point in equatorial coordinates. 446 * @internal 447 */ 448 Equatorial& eclipticToEquatorial(Equatorial& result, double eclipLong, double eclipLat); 449 450 /** 451 * Convert from ecliptic longitude to equatorial coordinates. 452 * 453 * @param eclipLong The ecliptic longitude 454 * 455 * @return The corresponding point in equatorial coordinates. 456 * @internal 457 */ 458 Equatorial& eclipticToEquatorial(Equatorial& result, double eclipLong) ; 459 460 /** 461 * @internal 462 */ 463 Horizon& eclipticToHorizon(Horizon& result, double eclipLong) ; 464 465 //------------------------------------------------------------------------- 466 // The Sun 467 //------------------------------------------------------------------------- 468 469 /** 470 * The longitude of the sun at the time specified by this object. 471 * The longitude is measured in radians along the ecliptic 472 * from the "first point of Aries," the point at which the ecliptic 473 * crosses the earth's equatorial plane at the vernal equinox. 474 * <p> 475 * Currently, this method uses an approximation of the two-body Kepler's 476 * equation for the earth and the sun. It does not take into account the 477 * perturbations caused by the other planets, the moon, etc. 478 * @internal 479 */ 480 double getSunLongitude(); 481 482 /** 483 * TODO Make this public when the entire class is package-private. 484 */ 485 /*public*/ void getSunLongitude(double julianDay, double &longitude, double &meanAnomaly); 486 487 /** 488 * The position of the sun at this object's current date and time, 489 * in equatorial coordinates. 490 * @param result fillin for the result 491 * @internal 492 */ 493 Equatorial& getSunPosition(Equatorial& result); 494 495 public: 496 /** 497 * Constant representing the vernal equinox. 498 * For use with {@link #getSunTime getSunTime}. 499 * Note: In this case, "vernal" refers to the northern hemisphere's seasons. 500 * @internal 501 */ 502 // static double VERNAL_EQUINOX(); 503 504 /** 505 * Constant representing the summer solstice. 506 * For use with {@link #getSunTime getSunTime}. 507 * Note: In this case, "summer" refers to the northern hemisphere's seasons. 508 * @internal 509 */ 510 static double SUMMER_SOLSTICE(); 511 512 /** 513 * Constant representing the autumnal equinox. 514 * For use with {@link #getSunTime getSunTime}. 515 * Note: In this case, "autumn" refers to the northern hemisphere's seasons. 516 * @internal 517 */ 518 // static double AUTUMN_EQUINOX(); 519 520 /** 521 * Constant representing the winter solstice. 522 * For use with {@link #getSunTime getSunTime}. 523 * Note: In this case, "winter" refers to the northern hemisphere's seasons. 524 * @internal 525 */ 526 static double WINTER_SOLSTICE(); 527 528 /** 529 * Find the next time at which the sun's ecliptic longitude will have 530 * the desired value. 531 * @internal 532 */ 533 UDate getSunTime(double desired, UBool next); 534 535 /** 536 * Returns the time (GMT) of sunrise or sunset on the local date to which 537 * this calendar is currently set. 538 * 539 * NOTE: This method only works well if this object is set to a 540 * time near local noon. Because of variations between the local 541 * official time zone and the geographic longitude, the 542 * computation can flop over into an adjacent day if this object 543 * is set to a time near local midnight. 544 * 545 * @internal 546 */ 547 UDate getSunRiseSet(UBool rise); 548 549 //------------------------------------------------------------------------- 550 // The Moon 551 //------------------------------------------------------------------------- 552 553 /** 554 * The position of the moon at the time set on this 555 * object, in equatorial coordinates. 556 * @internal 557 * @return const reference to internal field of calendar astronomer. Do not use outside of the lifetime of this astronomer. 558 */ 559 const Equatorial& getMoonPosition(); 560 561 /** 562 * The "age" of the moon at the time specified in this object. 563 * This is really the angle between the 564 * current ecliptic longitudes of the sun and the moon, 565 * measured in radians. 566 * 567 * @see #getMoonPhase 568 * @internal 569 */ 570 double getMoonAge(); 571 572 /** 573 * Calculate the phase of the moon at the time set in this object. 574 * The returned phase is a <code>double</code> in the range 575 * <code>0 <= phase < 1</code>, interpreted as follows: 576 * <ul> 577 * <li>0.00: New moon 578 * <li>0.25: First quarter 579 * <li>0.50: Full moon 580 * <li>0.75: Last quarter 581 * </ul> 582 * 583 * @see #getMoonAge 584 * @internal 585 */ 586 double getMoonPhase(); 587 588 class U_I18N_API MoonAge : public UMemory { 589 public: MoonAge(double l)590 MoonAge(double l) 591 : value(l) { } set(double l)592 void set(double l) { value = l; } 593 double value; 594 }; 595 596 /** 597 * Constant representing a new moon. 598 * For use with {@link #getMoonTime getMoonTime} 599 * @internal 600 */ 601 static const MoonAge NEW_MOON(); 602 603 /** 604 * Constant representing the moon's first quarter. 605 * For use with {@link #getMoonTime getMoonTime} 606 * @internal 607 */ 608 // static const MoonAge FIRST_QUARTER(); 609 610 /** 611 * Constant representing a full moon. 612 * For use with {@link #getMoonTime getMoonTime} 613 * @internal 614 */ 615 static const MoonAge FULL_MOON(); 616 617 /** 618 * Constant representing the moon's last quarter. 619 * For use with {@link #getMoonTime getMoonTime} 620 * @internal 621 */ 622 // static const MoonAge LAST_QUARTER(); 623 624 /** 625 * Find the next or previous time at which the Moon's ecliptic 626 * longitude will have the desired value. 627 * <p> 628 * @param desired The desired longitude. 629 * @param next <tt>true</tt> if the next occurrance of the phase 630 * is desired, <tt>false</tt> for the previous occurrance. 631 * @internal 632 */ 633 UDate getMoonTime(double desired, UBool next); 634 UDate getMoonTime(const MoonAge& desired, UBool next); 635 636 /** 637 * Returns the time (GMT) of sunrise or sunset on the local date to which 638 * this calendar is currently set. 639 * @internal 640 */ 641 UDate getMoonRiseSet(UBool rise); 642 643 //------------------------------------------------------------------------- 644 // Interpolation methods for finding the time at which a given event occurs 645 //------------------------------------------------------------------------- 646 647 // private 648 class AngleFunc : public UMemory { 649 public: 650 virtual double eval(CalendarAstronomer&) = 0; 651 virtual ~AngleFunc(); 652 }; 653 friend class AngleFunc; 654 655 UDate timeOfAngle(AngleFunc& func, double desired, 656 double periodDays, double epsilon, UBool next); 657 658 class CoordFunc : public UMemory { 659 public: 660 virtual void eval(Equatorial& result, CalendarAstronomer&) = 0; 661 virtual ~CoordFunc(); 662 }; 663 friend class CoordFunc; 664 665 double riseOrSet(CoordFunc& func, UBool rise, 666 double diameter, double refraction, 667 double epsilon); 668 669 //------------------------------------------------------------------------- 670 // Other utility methods 671 //------------------------------------------------------------------------- 672 private: 673 674 /** 675 * Return the obliquity of the ecliptic (the angle between the ecliptic 676 * and the earth's equator) at the current time. This varies due to 677 * the precession of the earth's axis. 678 * 679 * @return the obliquity of the ecliptic relative to the equator, 680 * measured in radians. 681 */ 682 double eclipticObliquity(); 683 684 //------------------------------------------------------------------------- 685 // Private data 686 //------------------------------------------------------------------------- 687 private: 688 /** 689 * Current time in milliseconds since 1/1/1970 AD 690 * @see java.util.Date#getTime 691 */ 692 UDate fTime; 693 694 /* These aren't used yet, but they'll be needed for sunset calculations 695 * and equatorial to horizon coordinate conversions 696 */ 697 double fLongitude; 698 double fLatitude; 699 double fGmtOffset; 700 701 // 702 // The following fields are used to cache calculated results for improved 703 // performance. These values all depend on the current time setting 704 // of this object, so the clearCache method is provided. 705 // 706 707 double julianDay; 708 double julianCentury; 709 double sunLongitude; 710 double meanAnomalySun; 711 double moonLongitude; 712 double moonEclipLong; 713 double meanAnomalyMoon; 714 double eclipObliquity; 715 double siderealT0; 716 double siderealTime; 717 718 void clearCache(); 719 720 Equatorial moonPosition; 721 UBool moonPositionSet; 722 723 /** 724 * @internal 725 */ 726 // UDate local(UDate localMillis); 727 }; 728 729 U_NAMESPACE_END 730 731 struct UHashtable; 732 733 U_NAMESPACE_BEGIN 734 735 /** 736 * Cache of month -> julian day 737 * @internal 738 */ 739 class CalendarCache : public UMemory { 740 public: 741 static int32_t get(CalendarCache** cache, int32_t key, UErrorCode &status); 742 static void put(CalendarCache** cache, int32_t key, int32_t value, UErrorCode &status); 743 virtual ~CalendarCache(); 744 private: 745 CalendarCache(int32_t size, UErrorCode& status); 746 static void createCache(CalendarCache** cache, UErrorCode& status); 747 /** 748 * not implemented 749 */ 750 CalendarCache(); 751 UHashtable *fTable; 752 }; 753 754 U_NAMESPACE_END 755 756 #endif 757 #endif 758