Check in the pristine copy of ICU 4.6...

icu46/source/i18n/astro.cpp

+/************************************************************************
+ * Copyright (C) 1996-2008, International Business Machines Corporation *
+ * and others. All Rights Reserved.                                     *
+ ************************************************************************
+ *  2003-nov-07   srl       Port from Java
+ */
+
+#include "astro.h"
+
+#if !UCONFIG_NO_FORMATTING
+
+#include "unicode/calendar.h"
+#include <math.h>
+#include <float.h>
+#include "unicode/putil.h"
+#include "uhash.h"
+#include "umutex.h"
+#include "ucln_in.h"
+#include "putilimp.h"
+#include <stdio.h>  // for toString()
+
+#if defined (PI) 
+#undef PI
+#endif
+
+#ifdef U_DEBUG_ASTRO
+# include "uresimp.h" // for debugging
+
+static void debug_astro_loc(const char *f, int32_t l)
+{
+  fprintf(stderr, "%s:%d: ", f, l);
+}
+
+static void debug_astro_msg(const char *pat, ...)
+{
+  va_list ap;
+  va_start(ap, pat);
+  vfprintf(stderr, pat, ap);
+  fflush(stderr);
+}
+#include "unicode/datefmt.h"
+#include "unicode/ustring.h"
+static const char * debug_astro_date(UDate d) {
+  static char gStrBuf[1024];
+  static DateFormat *df = NULL;
+  if(df == NULL) {
+    df = DateFormat::createDateTimeInstance(DateFormat::MEDIUM, DateFormat::MEDIUM, Locale::getUS());
+    df->adoptTimeZone(TimeZone::getGMT()->clone());
+  }
+  UnicodeString str;
+  df->format(d,str);
+  u_austrncpy(gStrBuf,str.getTerminatedBuffer(),sizeof(gStrBuf)-1);
+  return gStrBuf;
+}
+
+// must use double parens, i.e.:  U_DEBUG_ASTRO_MSG(("four is: %d",4));
+#define U_DEBUG_ASTRO_MSG(x) {debug_astro_loc(__FILE__,__LINE__);debug_astro_msg x;}
+#else
+#define U_DEBUG_ASTRO_MSG(x)
+#endif
+
+static inline UBool isINVALID(double d) {
+  return(uprv_isNaN(d));
+}
+
+static UMTX ccLock = NULL;
+
+U_CDECL_BEGIN
+static UBool calendar_astro_cleanup(void) {
+  umtx_destroy(&ccLock);
+  return TRUE;
+}
+U_CDECL_END
+
+U_NAMESPACE_BEGIN
+
+/**
+ * The number of standard hours in one sidereal day.
+ * Approximately 24.93.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+#define SIDEREAL_DAY (23.93446960027)
+
+/**
+ * The number of sidereal hours in one mean solar day.
+ * Approximately 24.07.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+#define SOLAR_DAY  (24.065709816)
+
+/**
+ * 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.
+ */
+const double CalendarAstronomer::SYNODIC_MONTH  = 29.530588853;
+
+/**
+ * The average number of days it takes
+ * for the moon to return to the same ecliptic longitude relative to the
+ * stellar background.  This is referred to as the sidereal month.
+ * It is shorter than the synodic month due to
+ * the revolution of the earth around the sun.
+ * Approximately 27.32.
+ *
+ * @see #SYNODIC_MONTH
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+#define SIDEREAL_MONTH  27.32166
+
+/**
+ * The average number number of days between successive vernal equinoxes.
+ * Due to the precession of the earth's
+ * axis, this is not precisely the same as the sidereal year.
+ * Approximately 365.24
+ *
+ * @see #SIDEREAL_YEAR
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+#define TROPICAL_YEAR  365.242191
+
+/**
+ * The average number of days it takes
+ * for the sun to return to the same position against the fixed stellar
+ * background.  This is the duration of one orbit of the earth about the sun
+ * as it would appear to an outside observer.
+ * Due to the precession of the earth's
+ * axis, this is not precisely the same as the tropical year.
+ * Approximately 365.25.
+ *
+ * @see #TROPICAL_YEAR
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+#define SIDEREAL_YEAR  365.25636
+
+//-------------------------------------------------------------------------
+// Time-related constants
+//-------------------------------------------------------------------------
+
+/**
+ * The number of milliseconds in one second.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+#define SECOND_MS  U_MILLIS_PER_SECOND
+
+/**
+ * The number of milliseconds in one minute.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+#define MINUTE_MS  U_MILLIS_PER_MINUTE
+
+/**
+ * The number of milliseconds in one hour.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+#define HOUR_MS   U_MILLIS_PER_HOUR
+
+/**
+ * The number of milliseconds in one day.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+#define DAY_MS U_MILLIS_PER_DAY
+
+/**
+ * The start of the julian day numbering scheme used by astronomers, which
+ * is 1/1/4713 BC (Julian), 12:00 GMT.  This is given as the number of milliseconds
+ * since 1/1/1970 AD (Gregorian), a negative number.
+ * Note that julian day numbers and
+ * the Julian calendar are <em>not</em> the same thing.  Also note that
+ * julian days start at <em>noon</em>, not midnight.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+#define JULIAN_EPOCH_MS  -210866760000000.0
+
+
+/**
+ * Milliseconds value for 0.0 January 2000 AD.
+ */
+#define EPOCH_2000_MS  946598400000.0
+
+//-------------------------------------------------------------------------
+// Assorted private data used for conversions
+//-------------------------------------------------------------------------
+
+// My own copies of these so compilers are more likely to optimize them away
+const double CalendarAstronomer::PI = 3.14159265358979323846;
+
+#define CalendarAstronomer_PI2  (CalendarAstronomer::PI*2.0)
+#define RAD_HOUR  ( 12 / CalendarAstronomer::PI )     // radians -> hours
+#define DEG_RAD ( CalendarAstronomer::PI / 180 )      // degrees -> radians
+#define RAD_DEG  ( 180 / CalendarAstronomer::PI )     // radians -> degrees
+
+/***
+ * Given 'value', add or subtract 'range' until 0 <= 'value' < range.
+ * The modulus operator.
+ */
+inline static double normalize(double value, double range)  {
+    return value - range * ClockMath::floorDivide(value, range);
+}
+
+/**
+ * Normalize an angle so that it's in the range 0 - 2pi.
+ * For positive angles this is just (angle % 2pi), but the Java
+ * mod operator doesn't work that way for negative numbers....
+ */
+inline static double norm2PI(double angle)  {
+    return normalize(angle, CalendarAstronomer::PI * 2.0);
+}
+
+/**
+ * Normalize an angle into the range -PI - PI
+ */
+inline static  double normPI(double angle)  {
+    return normalize(angle + CalendarAstronomer::PI, CalendarAstronomer::PI * 2.0) - CalendarAstronomer::PI;
+}
+
+//-------------------------------------------------------------------------
+// Constructors
+//-------------------------------------------------------------------------
+
+/**
+ * Construct a new <code>CalendarAstronomer</code> object that is initialized to
+ * the current date and time.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+CalendarAstronomer::CalendarAstronomer():
+  fTime(Calendar::getNow()), fLongitude(0.0), fLatitude(0.0), fGmtOffset(0.0), moonPosition(0,0), moonPositionSet(FALSE) {
+  clearCache();
+}
+
+/**
+ * Construct a new <code>CalendarAstronomer</code> object that is initialized to
+ * the specified date and time.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+CalendarAstronomer::CalendarAstronomer(UDate d): fTime(d), fLongitude(0.0), fLatitude(0.0), fGmtOffset(0.0), moonPosition(0,0), moonPositionSet(FALSE) {
+  clearCache();
+}
+
+/**
+ * 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
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+CalendarAstronomer::CalendarAstronomer(double longitude, double latitude) :
+  fTime(Calendar::getNow()), moonPosition(0,0), moonPositionSet(FALSE) {
+  fLongitude = normPI(longitude * (double)DEG_RAD);
+  fLatitude  = normPI(latitude  * (double)DEG_RAD);
+  fGmtOffset = (double)(fLongitude * 24. * (double)HOUR_MS / (double)CalendarAstronomer_PI2);
+  clearCache();
+}
+
+CalendarAstronomer::~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
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+void CalendarAstronomer::setTime(UDate aTime) {
+    fTime = aTime;
+    U_DEBUG_ASTRO_MSG(("setTime(%.1lf, %sL)\n", aTime, debug_astro_date(aTime+fGmtOffset)));
+    clearCache();
+}
+
+/**
+ * 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
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+void CalendarAstronomer::setJulianDay(double jdn) {
+    fTime = (double)(jdn * DAY_MS) + JULIAN_EPOCH_MS;
+    clearCache();
+    julianDay = 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
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+UDate CalendarAstronomer::getTime() {
+    return fTime;
+}
+
+/**
+ * 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
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+double CalendarAstronomer::getJulianDay() {
+    if (isINVALID(julianDay)) {
+        julianDay = (fTime - (double)JULIAN_EPOCH_MS) / (double)DAY_MS;
+    }
+    return julianDay;
+}
+
+/**
+ * Return this object's time expressed in julian centuries:
+ * the number of centuries after 1/1/1900 AD, 12:00 GMT
+ *
+ * @see #getJulianDay
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+double CalendarAstronomer::getJulianCentury() {
+    if (isINVALID(julianCentury)) {
+        julianCentury = (getJulianDay() - 2415020.0) / 36525.0;
+    }
+    return julianCentury;
+}
+
+/**
+ * Returns the current Greenwich sidereal time, measured in hours
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+double CalendarAstronomer::getGreenwichSidereal() {
+    if (isINVALID(siderealTime)) {
+        // See page 86 of "Practial Astronomy with your Calculator",
+        // by Peter Duffet-Smith, for details on the algorithm.
+
+        double UT = normalize(fTime/(double)HOUR_MS, 24.);
+
+        siderealTime = normalize(getSiderealOffset() + UT*1.002737909, 24.);
+    }
+    return siderealTime;
+}
+
+double CalendarAstronomer::getSiderealOffset() {
+    if (isINVALID(siderealT0)) {
+        double JD  = uprv_floor(getJulianDay() - 0.5) + 0.5;
+        double S   = JD - 2451545.0;
+        double T   = S / 36525.0;
+        siderealT0 = normalize(6.697374558 + 2400.051336*T + 0.000025862*T*T, 24);
+    }
+    return siderealT0;
+}
+
+/**
+ * Returns the current local sidereal time, measured in hours
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+double CalendarAstronomer::getLocalSidereal() {
+    return normalize(getGreenwichSidereal() + (fGmtOffset/(double)HOUR_MS), 24.);
+}
+
+/**
+ * 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.
+ */
+double CalendarAstronomer::lstToUT(double lst) {
+    // Convert to local mean time
+    double lt = normalize((lst - getSiderealOffset()) * 0.9972695663, 24);
+
+    // Then find local midnight on this day
+    double base = (DAY_MS * ClockMath::floorDivide(fTime + fGmtOffset,(double)DAY_MS)) - fGmtOffset;
+
+    //out("    lt  =" + lt + " hours");
+    //out("    base=" + new Date(base));
+
+    return base + (long)(lt * HOUR_MS);
+}
+
+
+//-------------------------------------------------------------------------
+// Coordinate transformations, all based on the current time of this object
+//-------------------------------------------------------------------------
+
+/**
+ * Convert from ecliptic to equatorial coordinates.
+ *
+ * @param ecliptic  A point in the sky in ecliptic coordinates.
+ * @return          The corresponding point in equatorial coordinates.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+CalendarAstronomer::Equatorial& CalendarAstronomer::eclipticToEquatorial(CalendarAstronomer::Equatorial& result, const CalendarAstronomer::Ecliptic& ecliptic)
+{
+    return eclipticToEquatorial(result, ecliptic.longitude, ecliptic.latitude);
+}
+
+/**
+ * Convert from ecliptic to equatorial coordinates.
+ *
+ * @param eclipLong     The ecliptic longitude
+ * @param eclipLat      The ecliptic latitude
+ *
+ * @return              The corresponding point in equatorial coordinates.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+CalendarAstronomer::Equatorial& CalendarAstronomer::eclipticToEquatorial(CalendarAstronomer::Equatorial& result, double eclipLong, double eclipLat)
+{
+    // See page 42 of "Practial Astronomy with your Calculator",
+    // by Peter Duffet-Smith, for details on the algorithm.
+
+    double obliq = eclipticObliquity();
+    double sinE = ::sin(obliq);
+    double cosE = cos(obliq);
+
+    double sinL = ::sin(eclipLong);
+    double cosL = cos(eclipLong);
+
+    double sinB = ::sin(eclipLat);
+    double cosB = cos(eclipLat);
+    double tanB = tan(eclipLat);
+
+    result.set(atan2(sinL*cosE - tanB*sinE, cosL),
+        asin(sinB*cosE + cosB*sinE*sinL) );
+    return result;
+}
+
+/**
+ * Convert from ecliptic longitude to equatorial coordinates.
+ *
+ * @param eclipLong     The ecliptic longitude
+ *
+ * @return              The corresponding point in equatorial coordinates.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+CalendarAstronomer::Equatorial& CalendarAstronomer::eclipticToEquatorial(CalendarAstronomer::Equatorial& result, double eclipLong)
+{
+    return eclipticToEquatorial(result, eclipLong, 0);  // TODO: optimize
+}
+
+/**
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+CalendarAstronomer::Horizon& CalendarAstronomer::eclipticToHorizon(CalendarAstronomer::Horizon& result, double eclipLong)
+{
+    Equatorial equatorial;
+    eclipticToEquatorial(equatorial, eclipLong);
+
+    double H = getLocalSidereal()*CalendarAstronomer::PI/12 - equatorial.ascension;     // Hour-angle
+
+    double sinH = ::sin(H);
+    double cosH = cos(H);
+    double sinD = ::sin(equatorial.declination);
+    double cosD = cos(equatorial.declination);
+    double sinL = ::sin(fLatitude);
+    double cosL = cos(fLatitude);
+
+    double altitude = asin(sinD*sinL + cosD*cosL*cosH);
+    double azimuth  = atan2(-cosD*cosL*sinH, sinD - sinL * ::sin(altitude));
+
+    result.set(azimuth, altitude);
+    return result;
+}
+
+
+//-------------------------------------------------------------------------
+// The Sun
+//-------------------------------------------------------------------------
+
+//
+// Parameters of the Sun's orbit as of the epoch Jan 0.0 1990
+// Angles are in radians (after multiplying by CalendarAstronomer::PI/180)
+//
+#define JD_EPOCH  2447891.5 // Julian day of epoch
+
+#define SUN_ETA_G    (279.403303 * CalendarAstronomer::PI/180) // Ecliptic longitude at epoch
+#define SUN_OMEGA_G  (282.768422 * CalendarAstronomer::PI/180) // Ecliptic longitude of perigee
+#define SUN_E         0.016713          // Eccentricity of orbit
+//double sunR0        1.495585e8        // Semi-major axis in KM
+//double sunTheta0    (0.533128 * CalendarAstronomer::PI/180) // Angular diameter at R0
+
+// The following three methods, which compute the sun parameters
+// given above for an arbitrary epoch (whatever time the object is
+// set to), make only a small difference as compared to using the
+// above constants.  E.g., Sunset times might differ by ~12
+// seconds.  Furthermore, the eta-g computation is befuddled by
+// Duffet-Smith's incorrect coefficients (p.86).  I've corrected
+// the first-order coefficient but the others may be off too - no
+// way of knowing without consulting another source.
+
+//  /**
+//   * Return the sun's ecliptic longitude at perigee for the current time.
+//   * See Duffett-Smith, p. 86.
+//   * @return radians
+//   */
+//  private double getSunOmegaG() {
+//      double T = getJulianCentury();
+//      return (281.2208444 + (1.719175 + 0.000452778*T)*T) * DEG_RAD;
+//  }
+
+//  /**
+//   * Return the sun's ecliptic longitude for the current time.
+//   * See Duffett-Smith, p. 86.
+//   * @return radians
+//   */
+//  private double getSunEtaG() {
+//      double T = getJulianCentury();
+//      //return (279.6966778 + (36000.76892 + 0.0003025*T)*T) * DEG_RAD;
+//      //
+//      // The above line is from Duffett-Smith, and yields manifestly wrong
+//      // results.  The below constant is derived empirically to match the
+//      // constant he gives for the 1990 EPOCH.
+//      //
+//      return (279.6966778 + (-0.3262541582718024 + 0.0003025*T)*T) * DEG_RAD;
+//  }
+
+//  /**
+//   * Return the sun's eccentricity of orbit for the current time.
+//   * See Duffett-Smith, p. 86.
+//   * @return double
+//   */
+//  private double getSunE() {
+//      double T = getJulianCentury();
+//      return 0.01675104 - (0.0000418 + 0.000000126*T)*T;
+//  }
+
+/**
+ * Find the "true anomaly" (longitude) of an object from
+ * its mean anomaly and the eccentricity of its orbit.  This uses
+ * an iterative solution to Kepler's equation.
+ *
+ * @param meanAnomaly   The object's longitude calculated as if it were in
+ *                      a regular, circular orbit, measured in radians
+ *                      from the point of perigee.
+ *
+ * @param eccentricity  The eccentricity of the orbit
+ *
+ * @return The true anomaly (longitude) measured in radians
+ */
+static double trueAnomaly(double meanAnomaly, double eccentricity)
+{
+    // First, solve Kepler's equation iteratively
+    // Duffett-Smith, p.90
+    double delta;
+    double E = meanAnomaly;
+    do {
+        delta = E - eccentricity * ::sin(E) - meanAnomaly;
+        E = E - delta / (1 - eccentricity * ::cos(E));
+    }
+    while (uprv_fabs(delta) > 1e-5); // epsilon = 1e-5 rad
+
+    return 2.0 * ::atan( ::tan(E/2) * ::sqrt( (1+eccentricity)
+                                             /(1-eccentricity) ) );
+}
+
+/**
+ * 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
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+double CalendarAstronomer::getSunLongitude()
+{
+    // See page 86 of "Practial Astronomy with your Calculator",
+    // by Peter Duffet-Smith, for details on the algorithm.
+
+    if (isINVALID(sunLongitude)) {
+        getSunLongitude(getJulianDay(), sunLongitude, meanAnomalySun);
+    }
+    return sunLongitude;
+}
+
+/**
+ * TODO Make this public when the entire class is package-private.
+ */
+/*public*/ void CalendarAstronomer::getSunLongitude(double jDay, double &longitude, double &meanAnomaly)
+{
+    // See page 86 of "Practial Astronomy with your Calculator",
+    // by Peter Duffet-Smith, for details on the algorithm.
+
+    double day = jDay - JD_EPOCH;       // Days since epoch
+
+    // Find the angular distance the sun in a fictitious
+    // circular orbit has travelled since the epoch.
+    double epochAngle = norm2PI(CalendarAstronomer_PI2/TROPICAL_YEAR*day);
+
+    // The epoch wasn't at the sun's perigee; find the angular distance
+    // since perigee, which is called the "mean anomaly"
+    meanAnomaly = norm2PI(epochAngle + SUN_ETA_G - SUN_OMEGA_G);
+
+    // Now find the "true anomaly", e.g. the real solar longitude
+    // by solving Kepler's equation for an elliptical orbit
+    // NOTE: The 3rd ed. of the book lists omega_g and eta_g in different
+    // equations; omega_g is to be correct.
+    longitude =  norm2PI(trueAnomaly(meanAnomaly, SUN_E) + SUN_OMEGA_G);
+}
+
+/**
+ * The position of the sun at this object's current date and time,
+ * in equatorial coordinates.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+CalendarAstronomer::Equatorial& CalendarAstronomer::getSunPosition(CalendarAstronomer::Equatorial& result) {
+    return eclipticToEquatorial(result, getSunLongitude(), 0);
+}
+
+
+/**
+ * Constant representing the vernal equinox.
+ * For use with {@link #getSunTime getSunTime}.
+ * Note: In this case, "vernal" refers to the northern hemisphere's seasons.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+/*double CalendarAstronomer::VERNAL_EQUINOX() {
+  return 0;
+}*/
+
+/**
+ * Constant representing the summer solstice.
+ * For use with {@link #getSunTime getSunTime}.
+ * Note: In this case, "summer" refers to the northern hemisphere's seasons.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+double CalendarAstronomer::SUMMER_SOLSTICE() {
+    return  (CalendarAstronomer::PI/2);
+}
+
+/**
+ * Constant representing the autumnal equinox.
+ * For use with {@link #getSunTime getSunTime}.
+ * Note: In this case, "autumn" refers to the northern hemisphere's seasons.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+/*double CalendarAstronomer::AUTUMN_EQUINOX() {
+  return  (CalendarAstronomer::PI);
+}*/
+
+/**
+ * Constant representing the winter solstice.
+ * For use with {@link #getSunTime getSunTime}.
+ * Note: In this case, "winter" refers to the northern hemisphere's seasons.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+double CalendarAstronomer::WINTER_SOLSTICE() {
+    return  ((CalendarAstronomer::PI*3)/2);
+}
+
+CalendarAstronomer::AngleFunc::~AngleFunc() {}
+
+/**
+ * Find the next time at which the sun's ecliptic longitude will have
+ * the desired value.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+class SunTimeAngleFunc : public CalendarAstronomer::AngleFunc {
+public:
+    virtual double eval(CalendarAstronomer& a) { return a.getSunLongitude(); }
+};
+
+UDate CalendarAstronomer::getSunTime(double desired, UBool next)
+{
+    SunTimeAngleFunc func;
+    return timeOfAngle( func,
+                        desired,
+                        TROPICAL_YEAR,
+                        MINUTE_MS,
+                        next);
+}
+
+CalendarAstronomer::CoordFunc::~CoordFunc() {}
+
+class RiseSetCoordFunc : public CalendarAstronomer::CoordFunc {
+public:
+    virtual void eval(CalendarAstronomer::Equatorial& result, CalendarAstronomer&a) {  a.getSunPosition(result); }
+};
+
+UDate CalendarAstronomer::getSunRiseSet(UBool rise)
+{
+    UDate t0 = fTime;
+
+    // Make a rough guess: 6am or 6pm local time on the current day
+    double noon = ClockMath::floorDivide(fTime + fGmtOffset, (double)DAY_MS)*DAY_MS - fGmtOffset + (12*HOUR_MS);
+
+    U_DEBUG_ASTRO_MSG(("Noon=%.2lf, %sL, gmtoff %.2lf\n", noon, debug_astro_date(noon+fGmtOffset), fGmtOffset));
+    setTime(noon +  ((rise ? -6 : 6) * HOUR_MS));
+    U_DEBUG_ASTRO_MSG(("added %.2lf ms as a guess,\n", ((rise ? -6. : 6.) * HOUR_MS)));
+
+    RiseSetCoordFunc func;
+    double t = riseOrSet(func,
+                         rise,
+                         .533 * DEG_RAD,        // Angular Diameter
+                         34. /60.0 * DEG_RAD,    // Refraction correction
+                         MINUTE_MS / 12.);       // Desired accuracy
+
+    setTime(t0);
+    return t;
+}
+
+// Commented out - currently unused. ICU 2.6, Alan
+//    //-------------------------------------------------------------------------
+//    // Alternate Sun Rise/Set
+//    // See Duffett-Smith p.93
+//    //-------------------------------------------------------------------------
+//
+//    // This yields worse results (as compared to USNO data) than getSunRiseSet().
+//    /**
+//     * TODO Make this when the entire class is package-private.
+//     */
+//    /*public*/ long getSunRiseSet2(boolean rise) {
+//        // 1. Calculate coordinates of the sun's center for midnight
+//        double jd = uprv_floor(getJulianDay() - 0.5) + 0.5;
+//        double[] sl = getSunLongitude(jd);//        double lambda1 = sl[0];
+//        Equatorial pos1 = eclipticToEquatorial(lambda1, 0);
+//
+//        // 2. Add ... to lambda to get position 24 hours later
+//        double lambda2 = lambda1 + 0.985647*DEG_RAD;
+//        Equatorial pos2 = eclipticToEquatorial(lambda2, 0);
+//
+//        // 3. Calculate LSTs of rising and setting for these two positions
+//        double tanL = ::tan(fLatitude);
+//        double H = ::acos(-tanL * ::tan(pos1.declination));
+//        double lst1r = (CalendarAstronomer_PI2 + pos1.ascension - H) * 24 / CalendarAstronomer_PI2;
+//        double lst1s = (pos1.ascension + H) * 24 / CalendarAstronomer_PI2;
+//               H = ::acos(-tanL * ::tan(pos2.declination));
+//        double lst2r = (CalendarAstronomer_PI2-H + pos2.ascension ) * 24 / CalendarAstronomer_PI2;
+//        double lst2s = (H + pos2.ascension ) * 24 / CalendarAstronomer_PI2;
+//        if (lst1r > 24) lst1r -= 24;
+//        if (lst1s > 24) lst1s -= 24;
+//        if (lst2r > 24) lst2r -= 24;
+//        if (lst2s > 24) lst2s -= 24;
+//
+//        // 4. Convert LSTs to GSTs.  If GST1 > GST2, add 24 to GST2.
+//        double gst1r = lstToGst(lst1r);
+//        double gst1s = lstToGst(lst1s);
+//        double gst2r = lstToGst(lst2r);
+//        double gst2s = lstToGst(lst2s);
+//        if (gst1r > gst2r) gst2r += 24;
+//        if (gst1s > gst2s) gst2s += 24;
+//
+//        // 5. Calculate GST at 0h UT of this date
+//        double t00 = utToGst(0);
+//
+//        // 6. Calculate GST at 0h on the observer's longitude
+//        double offset = ::round(fLongitude*12/PI); // p.95 step 6; he _rounds_ to nearest 15 deg.
+//        double t00p = t00 - offset*1.002737909;
+//        if (t00p < 0) t00p += 24; // do NOT normalize
+//
+//        // 7. Adjust
+//        if (gst1r < t00p) {
+//            gst1r += 24;
+//            gst2r += 24;
+//        }
+//        if (gst1s < t00p) {
+//            gst1s += 24;
+//            gst2s += 24;
+//        }
+//
+//        // 8.
+//        double gstr = (24.07*gst1r-t00*(gst2r-gst1r))/(24.07+gst1r-gst2r);
+//        double gsts = (24.07*gst1s-t00*(gst2s-gst1s))/(24.07+gst1s-gst2s);
+//
+//        // 9. Correct for parallax, refraction, and sun's diameter
+//        double dec = (pos1.declination + pos2.declination) / 2;
+//        double psi = ::acos(sin(fLatitude) / cos(dec));
+//        double x = 0.830725 * DEG_RAD; // parallax+refraction+diameter
+//        double y = ::asin(sin(x) / ::sin(psi)) * RAD_DEG;
+//        double delta_t = 240 * y / cos(dec) / 3600; // hours
+//
+//        // 10. Add correction to GSTs, subtract from GSTr
+//        gstr -= delta_t;
+//        gsts += delta_t;
+//
+//        // 11. Convert GST to UT and then to local civil time
+//        double ut = gstToUt(rise ? gstr : gsts);
+//        //System.out.println((rise?"rise=":"set=") + ut + ", delta_t=" + delta_t);
+//        long midnight = DAY_MS * (time / DAY_MS); // Find UT midnight on this day
+//        return midnight + (long) (ut * 3600000);
+//    }
+
+// Commented out - currently unused. ICU 2.6, Alan
+//    /**
+//     * Convert local sidereal time to Greenwich sidereal time.
+//     * Section 15.  Duffett-Smith p.21
+//     * @param lst in hours (0..24)
+//     * @return GST in hours (0..24)
+//     */
+//    double lstToGst(double lst) {
+//        double delta = fLongitude * 24 / CalendarAstronomer_PI2;
+//        return normalize(lst - delta, 24);
+//    }
+
+// Commented out - currently unused. ICU 2.6, Alan
+//    /**
+//     * Convert UT to GST on this date.
+//     * Section 12.  Duffett-Smith p.17
+//     * @param ut in hours
+//     * @return GST in hours
+//     */
+//    double utToGst(double ut) {
+//        return normalize(getT0() + ut*1.002737909, 24);
+//    }
+
+// Commented out - currently unused. ICU 2.6, Alan
+//    /**
+//     * Convert GST to UT on this date.
+//     * Section 13.  Duffett-Smith p.18
+//     * @param gst in hours
+//     * @return UT in hours
+//     */
+//    double gstToUt(double gst) {
+//        return normalize(gst - getT0(), 24) * 0.9972695663;
+//    }
+
+// Commented out - currently unused. ICU 2.6, Alan
+//    double getT0() {
+//        // Common computation for UT <=> GST
+//
+//        // Find JD for 0h UT
+//        double jd = uprv_floor(getJulianDay() - 0.5) + 0.5;
+//
+//        double s = jd - 2451545.0;
+//        double t = s / 36525.0;
+//        double t0 = 6.697374558 + (2400.051336 + 0.000025862*t)*t;
+//        return t0;
+//    }
+
+// Commented out - currently unused. ICU 2.6, Alan
+//    //-------------------------------------------------------------------------
+//    // Alternate Sun Rise/Set
+//    // See sci.astro FAQ
+//    // http://www.faqs.org/faqs/astronomy/faq/part3/section-5.html
+//    //-------------------------------------------------------------------------
+//
+//    // Note: This method appears to produce inferior accuracy as
+//    // compared to getSunRiseSet().
+//
+//    /**
+//     * TODO Make this when the entire class is package-private.
+//     */
+//    /*public*/ long getSunRiseSet3(boolean rise) {
+//
+//        // Compute day number for 0.0 Jan 2000 epoch
+//        double d = (double)(time - EPOCH_2000_MS) / DAY_MS;
+//
+//        // Now compute the Local Sidereal Time, LST:
+//        //
+//        double LST  =  98.9818  +  0.985647352 * d  +  /*UT*15  +  long*/
+//            fLongitude*RAD_DEG;
+//        //
+//        // (east long. positive).  Note that LST is here expressed in degrees,
+//        // where 15 degrees corresponds to one hour.  Since LST really is an angle,
+//        // it's convenient to use one unit---degrees---throughout.
+//
+//        //    COMPUTING THE SUN'S POSITION
+//        //    ----------------------------
+//        //
+//        // To be able to compute the Sun's rise/set times, you need to be able to
+//        // compute the Sun's position at any time.  First compute the "day
+//        // number" d as outlined above, for the desired moment.  Next compute:
+//        //
+//        double oblecl = 23.4393 - 3.563E-7 * d;
+//        //
+//        double w  =  282.9404  +  4.70935E-5   * d;
+//        double M  =  356.0470  +  0.9856002585 * d;
+//        double e  =  0.016709  -  1.151E-9     * d;
+//        //
+//        // This is the obliquity of the ecliptic, plus some of the elements of
+//        // the Sun's apparent orbit (i.e., really the Earth's orbit): w =
+//        // argument of perihelion, M = mean anomaly, e = eccentricity.
+//        // Semi-major axis is here assumed to be exactly 1.0 (while not strictly
+//        // true, this is still an accurate approximation).  Next compute E, the
+//        // eccentric anomaly:
+//        //
+//        double E = M + e*(180/PI) * ::sin(M*DEG_RAD) * ( 1.0 + e*cos(M*DEG_RAD) );
+//        //
+//        // where E and M are in degrees.  This is it---no further iterations are
+//        // needed because we know e has a sufficiently small value.  Next compute
+//        // the true anomaly, v, and the distance, r:
+//        //
+//        /*      r * cos(v)  =  */ double A  =  cos(E*DEG_RAD) - e;
+//        /*      r * ::sin(v)  =  */ double B  =  ::sqrt(1 - e*e) * ::sin(E*DEG_RAD);
+//        //
+//        // and
+//        //
+//        //      r  =  sqrt( A*A + B*B )
+//        double v  =  ::atan2( B, A )*RAD_DEG;
+//        //
+//        // The Sun's true longitude, slon, can now be computed:
+//        //
+//        double slon  =  v + w;
+//        //
+//        // Since the Sun is always at the ecliptic (or at least very very close to
+//        // it), we can use simplified formulae to convert slon (the Sun's ecliptic
+//        // longitude) to sRA and sDec (the Sun's RA and Dec):
+//        //
+//        //                   ::sin(slon) * cos(oblecl)
+//        //     tan(sRA)  =  -------------------------
+//        //            cos(slon)
+//        //
+//        //     ::sin(sDec) =  ::sin(oblecl) * ::sin(slon)
+//        //
+//        // As was the case when computing az, the Azimuth, if possible use an
+//        // atan2() function to compute sRA.
+//
+//        double sRA = ::atan2(sin(slon*DEG_RAD) * cos(oblecl*DEG_RAD), cos(slon*DEG_RAD))*RAD_DEG;
+//
+//        double sin_sDec = ::sin(oblecl*DEG_RAD) * ::sin(slon*DEG_RAD);
+//        double sDec = ::asin(sin_sDec)*RAD_DEG;
+//
+//        //    COMPUTING RISE AND SET TIMES
+//        //    ----------------------------
+//        //
+//        // To compute when an object rises or sets, you must compute when it
+//        // passes the meridian and the HA of rise/set.  Then the rise time is
+//        // the meridian time minus HA for rise/set, and the set time is the
+//        // meridian time plus the HA for rise/set.
+//        //
+//        // To find the meridian time, compute the Local Sidereal Time at 0h local
+//        // time (or 0h UT if you prefer to work in UT) as outlined above---name
+//        // that quantity LST0.  The Meridian Time, MT, will now be:
+//        //
+//        //     MT  =  RA - LST0
+//        double MT = normalize(sRA - LST, 360);
+//        //
+//        // where "RA" is the object's Right Ascension (in degrees!).  If negative,
+//        // add 360 deg to MT.  If the object is the Sun, leave the time as it is,
+//        // but if it's stellar, multiply MT by 365.2422/366.2422, to convert from
+//        // sidereal to solar time.  Now, compute HA for rise/set, name that
+//        // quantity HA0:
+//        //
+//        //                 ::sin(h0)  -  ::sin(lat) * ::sin(Dec)
+//        // cos(HA0)  =  ---------------------------------
+//        //                      cos(lat) * cos(Dec)
+//        //
+//        // where h0 is the altitude selected to represent rise/set.  For a purely
+//        // mathematical horizon, set h0 = 0 and simplify to:
+//        //
+//        //    cos(HA0)  =  - tan(lat) * tan(Dec)
+//        //
+//        // If you want to account for refraction on the atmosphere, set h0 = -35/60
+//        // degrees (-35 arc minutes), and if you want to compute the rise/set times
+//        // for the Sun's upper limb, set h0 = -50/60 (-50 arc minutes).
+//        //
+//        double h0 = -50/60 * DEG_RAD;
+//
+//        double HA0 = ::acos(
+//          (sin(h0) - ::sin(fLatitude) * sin_sDec) /
+//          (cos(fLatitude) * cos(sDec*DEG_RAD)))*RAD_DEG;
+//
+//        // When HA0 has been computed, leave it as it is for the Sun but multiply
+//        // by 365.2422/366.2422 for stellar objects, to convert from sidereal to
+//        // solar time.  Finally compute:
+//        //
+//        //    Rise time  =  MT - HA0
+//        //    Set  time  =  MT + HA0
+//        //
+//        // convert the times from degrees to hours by dividing by 15.
+//        //
+//        // If you'd like to check that your calculations are accurate or just
+//        // need a quick result, check the USNO's Sun or Moon Rise/Set Table,
+//        // <URL:http://aa.usno.navy.mil/AA/data/docs/RS_OneYear.html>.
+//
+//        double result = MT + (rise ? -HA0 : HA0); // in degrees
+//
+//        // Find UT midnight on this day
+//        long midnight = DAY_MS * (time / DAY_MS);
+//
+//        return midnight + (long) (result * 3600000 / 15);
+//    }
+
+//-------------------------------------------------------------------------
+// The Moon
+//-------------------------------------------------------------------------
+
+#define moonL0  (318.351648 * CalendarAstronomer::PI/180 )   // Mean long. at epoch
+#define moonP0 ( 36.340410 * CalendarAstronomer::PI/180 )   // Mean long. of perigee
+#define moonN0 ( 318.510107 * CalendarAstronomer::PI/180 )   // Mean long. of node
+#define moonI  (   5.145366 * CalendarAstronomer::PI/180 )   // Inclination of orbit
+#define moonE  (   0.054900 )            // Eccentricity of orbit
+
+// These aren't used right now
+#define moonA  (   3.84401e5 )           // semi-major axis (km)
+#define moonT0 (   0.5181 * CalendarAstronomer::PI/180 )     // Angular size at distance A
+#define moonPi (   0.9507 * CalendarAstronomer::PI/180 )     // Parallax at distance A
+
+/**
+ * The position of the moon at the time set on this
+ * object, in equatorial coordinates.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+const CalendarAstronomer::Equatorial& CalendarAstronomer::getMoonPosition()
+{
+    //
+    // See page 142 of "Practial Astronomy with your Calculator",
+    // by Peter Duffet-Smith, for details on the algorithm.
+    //
+    if (moonPositionSet == FALSE) {
+        // Calculate the solar longitude.  Has the side effect of
+        // filling in "meanAnomalySun" as well.
+        getSunLongitude();
+
+        //
+        // Find the # of days since the epoch of our orbital parameters.
+        // TODO: Convert the time of day portion into ephemeris time
+        //
+        double day = getJulianDay() - JD_EPOCH;       // Days since epoch
+
+        // Calculate the mean longitude and anomaly of the moon, based on
+        // a circular orbit.  Similar to the corresponding solar calculation.
+        double meanLongitude = norm2PI(13.1763966*PI/180*day + moonL0);
+        meanAnomalyMoon = norm2PI(meanLongitude - 0.1114041*PI/180 * day - moonP0);
+
+        //
+        // Calculate the following corrections:
+        //  Evection:   the sun's gravity affects the moon's eccentricity
+        //  Annual Eqn: variation in the effect due to earth-sun distance
+        //  A3:         correction factor (for ???)
+        //
+        double evection = 1.2739*PI/180 * ::sin(2 * (meanLongitude - sunLongitude)
+            - meanAnomalyMoon);
+        double annual   = 0.1858*PI/180 * ::sin(meanAnomalySun);
+        double a3       = 0.3700*PI/180 * ::sin(meanAnomalySun);
+
+        meanAnomalyMoon += evection - annual - a3;
+
+        //
+        // More correction factors:
+        //  center  equation of the center correction
+        //  a4      yet another error correction (???)
+        //
+        // TODO: Skip the equation of the center correction and solve Kepler's eqn?
+        //
+        double center = 6.2886*PI/180 * ::sin(meanAnomalyMoon);
+        double a4 =     0.2140*PI/180 * ::sin(2 * meanAnomalyMoon);
+
+        // Now find the moon's corrected longitude
+        moonLongitude = meanLongitude + evection + center - annual + a4;
+
+        //
+        // And finally, find the variation, caused by the fact that the sun's
+        // gravitational pull on the moon varies depending on which side of
+        // the earth the moon is on
+        //
+        double variation = 0.6583*CalendarAstronomer::PI/180 * ::sin(2*(moonLongitude - sunLongitude));
+
+        moonLongitude += variation;
+
+        //
+        // What we've calculated so far is the moon's longitude in the plane
+        // of its own orbit.  Now map to the ecliptic to get the latitude
+        // and longitude.  First we need to find the longitude of the ascending
+        // node, the position on the ecliptic where it is crossed by the moon's
+        // orbit as it crosses from the southern to the northern hemisphere.
+        //
+        double nodeLongitude = norm2PI(moonN0 - 0.0529539*PI/180 * day);
+
+        nodeLongitude -= 0.16*PI/180 * ::sin(meanAnomalySun);
+
+        double y = ::sin(moonLongitude - nodeLongitude);
+        double x = cos(moonLongitude - nodeLongitude);
+
+        moonEclipLong = ::atan2(y*cos(moonI), x) + nodeLongitude;
+        double moonEclipLat = ::asin(y * ::sin(moonI));
+
+        eclipticToEquatorial(moonPosition, moonEclipLong, moonEclipLat);
+        moonPositionSet = TRUE;
+    }
+    return moonPosition;
+}
+
+/**
+ * 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
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+double CalendarAstronomer::getMoonAge() {
+    // See page 147 of "Practial Astronomy with your Calculator",
+    // by Peter Duffet-Smith, for details on the algorithm.
+    //
+    // Force the moon's position to be calculated.  We're going to use
+    // some the intermediate results cached during that calculation.
+    //
+    getMoonPosition();
+
+    return norm2PI(moonEclipLong - sunLongitude);
+}
+
+/**
+ * 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
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+double CalendarAstronomer::getMoonPhase() {
+    // See page 147 of "Practial Astronomy with your Calculator",
+    // by Peter Duffet-Smith, for details on the algorithm.
+    return 0.5 * (1 - cos(getMoonAge()));
+}
+
+/**
+ * Constant representing a new moon.
+ * For use with {@link #getMoonTime getMoonTime}
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+const CalendarAstronomer::MoonAge CalendarAstronomer::NEW_MOON() {
+    return  CalendarAstronomer::MoonAge(0);
+}
+
+/**
+ * Constant representing the moon's first quarter.
+ * For use with {@link #getMoonTime getMoonTime}
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+/*const CalendarAstronomer::MoonAge CalendarAstronomer::FIRST_QUARTER() {
+  return   CalendarAstronomer::MoonAge(CalendarAstronomer::PI/2);
+}*/
+
+/**
+ * Constant representing a full moon.
+ * For use with {@link #getMoonTime getMoonTime}
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+const CalendarAstronomer::MoonAge CalendarAstronomer::FULL_MOON() {
+    return   CalendarAstronomer::MoonAge(CalendarAstronomer::PI);
+}
+/**
+ * Constant representing the moon's last quarter.
+ * For use with {@link #getMoonTime getMoonTime}
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+
+class MoonTimeAngleFunc : public CalendarAstronomer::AngleFunc {
+public:
+    virtual double eval(CalendarAstronomer&a) { return a.getMoonAge(); }
+};
+
+/*const CalendarAstronomer::MoonAge CalendarAstronomer::LAST_QUARTER() {
+  return  CalendarAstronomer::MoonAge((CalendarAstronomer::PI*3)/2);
+}*/
+
+/**
+ * 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
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+UDate CalendarAstronomer::getMoonTime(double desired, UBool next)
+{
+    MoonTimeAngleFunc func;
+    return timeOfAngle( func,
+                        desired,
+                        SYNODIC_MONTH,
+                        MINUTE_MS,
+                        next);
+}
+
+/**
+ * Find the next or previous time at which the moon will be in the
+ * desired phase.
+ * <p>
+ * @param desired   The desired phase of the moon.
+ * @param next      <tt>true</tt> if the next occurrance of the phase
+ *                  is desired, <tt>false</tt> for the previous occurrance.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+UDate CalendarAstronomer::getMoonTime(const CalendarAstronomer::MoonAge& desired, UBool next) {
+    return getMoonTime(desired.value, next);
+}
+
+class MoonRiseSetCoordFunc : public CalendarAstronomer::CoordFunc {
+public:
+    virtual void eval(CalendarAstronomer::Equatorial& result, CalendarAstronomer&a) { result = a.getMoonPosition(); }
+};
+
+/**
+ * Returns the time (GMT) of sunrise or sunset on the local date to which
+ * this calendar is currently set.
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+UDate CalendarAstronomer::getMoonRiseSet(UBool rise)
+{
+    MoonRiseSetCoordFunc func;
+    return riseOrSet(func,
+                     rise,
+                     .533 * DEG_RAD,        // Angular Diameter
+                     34 /60.0 * DEG_RAD,    // Refraction correction
+                     MINUTE_MS);            // Desired accuracy
+}
+
+//-------------------------------------------------------------------------
+// Interpolation methods for finding the time at which a given event occurs
+//-------------------------------------------------------------------------
+
+UDate CalendarAstronomer::timeOfAngle(AngleFunc& func, double desired,
+                                      double periodDays, double epsilon, UBool next)
+{
+    // Find the value of the function at the current time
+    double lastAngle = func.eval(*this);
+
+    // Find out how far we are from the desired angle
+    double deltaAngle = norm2PI(desired - lastAngle) ;
+
+    // Using the average period, estimate the next (or previous) time at
+    // which the desired angle occurs.
+    double deltaT =  (deltaAngle + (next ? 0.0 : - CalendarAstronomer_PI2 )) * (periodDays*DAY_MS) / CalendarAstronomer_PI2;
+
+    double lastDeltaT = deltaT; // Liu
+    UDate startTime = fTime; // Liu
+
+    setTime(fTime + uprv_ceil(deltaT));
+
+    // Now iterate until we get the error below epsilon.  Throughout
+    // this loop we use normPI to get values in the range -Pi to Pi,
+    // since we're using them as correction factors rather than absolute angles.
+    do {
+        // Evaluate the function at the time we've estimated
+        double angle = func.eval(*this);
+
+        // Find the # of milliseconds per radian at this point on the curve
+        double factor = uprv_fabs(deltaT / normPI(angle-lastAngle));
+
+        // Correct the time estimate based on how far off the angle is
+        deltaT = normPI(desired - angle) * factor;
+
+        // HACK:
+        //
+        // If abs(deltaT) begins to diverge we need to quit this loop.
+        // This only appears to happen when attempting to locate, for
+        // example, a new moon on the day of the new moon.  E.g.:
+        //
+        // This result is correct:
+        // newMoon(7508(Mon Jul 23 00:00:00 CST 1990,false))=
+        //   Sun Jul 22 10:57:41 CST 1990
+        //
+        // But attempting to make the same call a day earlier causes deltaT
+        // to diverge:
+        // CalendarAstronomer.timeOfAngle() diverging: 1.348508727575625E9 ->
+        //   1.3649828540224032E9
+        // newMoon(7507(Sun Jul 22 00:00:00 CST 1990,false))=
+        //   Sun Jul 08 13:56:15 CST 1990
+        //
+        // As a temporary solution, we catch this specific condition and
+        // adjust our start time by one eighth period days (either forward
+        // or backward) and try again.
+        // Liu 11/9/00
+        if (uprv_fabs(deltaT) > uprv_fabs(lastDeltaT)) {
+            double delta = uprv_ceil (periodDays * DAY_MS / 8.0);
+            setTime(startTime + (next ? delta : -delta));
+            return timeOfAngle(func, desired, periodDays, epsilon, next);
+        }
+
+        lastDeltaT = deltaT;
+        lastAngle = angle;
+
+        setTime(fTime + uprv_ceil(deltaT));
+    }
+    while (uprv_fabs(deltaT) > epsilon);
+
+    return fTime;
+}
+
+UDate CalendarAstronomer::riseOrSet(CoordFunc& func, UBool rise,
+                                    double diameter, double refraction,
+                                    double epsilon)
+{
+    Equatorial pos;
+    double      tanL   = ::tan(fLatitude);
+    double     deltaT = 0;
+    int32_t         count = 0;
+
+    //
+    // Calculate the object's position at the current time, then use that
+    // position to calculate the time of rising or setting.  The position
+    // will be different at that time, so iterate until the error is allowable.
+    //
+    U_DEBUG_ASTRO_MSG(("setup rise=%s, dia=%.3lf, ref=%.3lf, eps=%.3lf\n",
+        rise?"T":"F", diameter, refraction, epsilon));
+    do {
+        // See "Practical Astronomy With Your Calculator, section 33.
+        func.eval(pos, *this);
+        double angle = ::acos(-tanL * ::tan(pos.declination));
+        double lst = ((rise ? CalendarAstronomer_PI2-angle : angle) + pos.ascension ) * 24 / CalendarAstronomer_PI2;
+
+        // Convert from LST to Universal Time.
+        UDate newTime = lstToUT( lst );
+
+        deltaT = newTime - fTime;
+        setTime(newTime);
+        U_DEBUG_ASTRO_MSG(("%d] dT=%.3lf, angle=%.3lf, lst=%.3lf,   A=%.3lf/D=%.3lf\n",
+            count, deltaT, angle, lst, pos.ascension, pos.declination));
+    }
+    while (++ count < 5 && uprv_fabs(deltaT) > epsilon);
+
+    // Calculate the correction due to refraction and the object's angular diameter
+    double cosD  = ::cos(pos.declination);
+    double psi   = ::acos(sin(fLatitude) / cosD);
+    double x     = diameter / 2 + refraction;
+    double y     = ::asin(sin(x) / ::sin(psi));
+    long  delta  = (long)((240 * y * RAD_DEG / cosD)*SECOND_MS);
+
+    return fTime + (rise ? -delta : delta);
+}
+                                                                                           /**
+ * 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 CalendarAstronomer::eclipticObliquity() {
+    if (isINVALID(eclipObliquity)) {
+        const double epoch = 2451545.0;     // 2000 AD, January 1.5
+
+        double T = (getJulianDay() - epoch) / 36525;
+
+        eclipObliquity = 23.439292
+            - 46.815/3600 * T
+            - 0.0006/3600 * T*T
+            + 0.00181/3600 * T*T*T;
+
+        eclipObliquity *= DEG_RAD;
+    }
+    return eclipObliquity;
+}
+
+
+//-------------------------------------------------------------------------
+// Private data
+//-------------------------------------------------------------------------
+void CalendarAstronomer::clearCache() {
+    const double INVALID = uprv_getNaN();
+
+    julianDay       = INVALID;
+    julianCentury   = INVALID;
+    sunLongitude    = INVALID;
+    meanAnomalySun  = INVALID;
+    moonLongitude   = INVALID;
+    moonEclipLong   = INVALID;
+    meanAnomalyMoon = INVALID;
+    eclipObliquity  = INVALID;
+    siderealTime    = INVALID;
+    siderealT0      = INVALID;
+    moonPositionSet = FALSE;
+}
+
+//private static void out(String s) {
+//    System.out.println(s);
+//}
+
+//private static String deg(double rad) {
+//    return Double.toString(rad * RAD_DEG);
+//}
+
+//private static String hours(long ms) {
+//    return Double.toString((double)ms / HOUR_MS) + " hours";
+//}
+
+/**
+ * @internal
+ * @deprecated ICU 2.4. This class may be removed or modified.
+ */
+/*UDate CalendarAstronomer::local(UDate localMillis) {
+  // TODO - srl ?
+  TimeZone *tz = TimeZone::createDefault();
+  int32_t rawOffset;
+  int32_t dstOffset;
+  UErrorCode status = U_ZERO_ERROR;
+  tz->getOffset(localMillis, TRUE, rawOffset, dstOffset, status);
+  delete tz;
+  return localMillis - rawOffset;
+}*/
+
+// Debugging functions
+UnicodeString CalendarAstronomer::Ecliptic::toString() const
+{
+#ifdef U_DEBUG_ASTRO
+    char tmp[800];
+    sprintf(tmp, "[%.5f,%.5f]", longitude*RAD_DEG, latitude*RAD_DEG);
+    return UnicodeString(tmp, "");
+#else
+    return UnicodeString();
+#endif
+}
+
+UnicodeString CalendarAstronomer::Equatorial::toString() const
+{
+#ifdef U_DEBUG_ASTRO
+    char tmp[400];
+    sprintf(tmp, "%f,%f",
+        (ascension*RAD_DEG), (declination*RAD_DEG));
+    return UnicodeString(tmp, "");
+#else
+    return UnicodeString();
+#endif
+}
+
+UnicodeString CalendarAstronomer::Horizon::toString() const
+{
+#ifdef U_DEBUG_ASTRO
+    char tmp[800];
+    sprintf(tmp, "[%.5f,%.5f]", altitude*RAD_DEG, azimuth*RAD_DEG);
+    return UnicodeString(tmp, "");
+#else
+    return UnicodeString();
+#endif
+}
+
+
+//  static private String radToHms(double angle) {
+//    int hrs = (int) (angle*RAD_HOUR);
+//    int min = (int)((angle*RAD_HOUR - hrs) * 60);
+//    int sec = (int)((angle*RAD_HOUR - hrs - min/60.0) * 3600);
+
+//    return Integer.toString(hrs) + "h" + min + "m" + sec + "s";
+//  }
+
+//  static private String radToDms(double angle) {
+//    int deg = (int) (angle*RAD_DEG);
+//    int min = (int)((angle*RAD_DEG - deg) * 60);
+//    int sec = (int)((angle*RAD_DEG - deg - min/60.0) * 3600);
+
+//    return Integer.toString(deg) + "\u00b0" + min + "'" + sec + "\"";
+//  }
+
+// =============== Calendar Cache ================
+
+void CalendarCache::createCache(CalendarCache** cache, UErrorCode& status) {
+    ucln_i18n_registerCleanup(UCLN_I18N_ASTRO_CALENDAR, calendar_astro_cleanup);
+    if(cache == NULL) {
+        status = U_MEMORY_ALLOCATION_ERROR;
+    } else {
+        *cache = new CalendarCache(32, status);
+        if(U_FAILURE(status)) {
+            delete *cache;
+            *cache = NULL;
+        }
+    }
+}
+
+int32_t CalendarCache::get(CalendarCache** cache, int32_t key, UErrorCode &status) {
+    int32_t res;
+
+    if(U_FAILURE(status)) {
+        return 0;
+    }
+    umtx_lock(&ccLock);
+
+    if(*cache == NULL) {
+        createCache(cache, status);
+        if(U_FAILURE(status)) {
+            umtx_unlock(&ccLock);
+            return 0;
+        }
+    }
+
+    res = uhash_igeti((*cache)->fTable, key);
+    U_DEBUG_ASTRO_MSG(("%p: GET: [%d] == %d\n", (*cache)->fTable, key, res));
+
+    umtx_unlock(&ccLock);
+    return res;
+}
+
+void CalendarCache::put(CalendarCache** cache, int32_t key, int32_t value, UErrorCode &status) {
+    if(U_FAILURE(status)) {
+        return;
+    }
+    umtx_lock(&ccLock);
+
+    if(*cache == NULL) {
+        createCache(cache, status);
+        if(U_FAILURE(status)) {
+            umtx_unlock(&ccLock);
+            return;
+        }
+    }
+
+    uhash_iputi((*cache)->fTable, key, value, &status);
+    U_DEBUG_ASTRO_MSG(("%p: PUT: [%d] := %d\n", (*cache)->fTable, key, value));
+
+    umtx_unlock(&ccLock);
+}
+
+CalendarCache::CalendarCache(int32_t size, UErrorCode &status) {
+    fTable = uhash_openSize(uhash_hashLong, uhash_compareLong, NULL, size, &status);
+    U_DEBUG_ASTRO_MSG(("%p: Opening.\n", fTable));
+}
+
+CalendarCache::~CalendarCache() {
+    if(fTable != NULL) {
+        U_DEBUG_ASTRO_MSG(("%p: Closing.\n", fTable));
+        uhash_close(fTable);
+    }
+}
+
+U_NAMESPACE_END
+
+#endif //  !UCONFIG_NO_FORMATTING