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- // © 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
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