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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 occurrence of the phase
+ * is desired, <tt>false</tt> for the previous occurrence.
+ * @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