// The Besselian Epoch (BE) indicates the fractional elapsed Besselian year count
// since the start of the Gregorian year count.
// A Besselian (or tropical) year is defined to be 365.242198781 days.
+// The date 31-dec-1949 22:09:46.862 UT corresponds to BE=1950.0
//
// The Besselian and Julian epochs are used in astronomical catalogs
// to denote values of time varying observables like e.g. right ascension.
// In addition, tidal friction and ocean and atmospheric effects will
// induce seasonal variations in the earth's spin rate and polar motion
// of the earth's spin axis.
-// To obtain a sidereal time measure, the above efects are taken
-// into account via corrections in the UT to GST conversion.
+// Taking the above effects into account leads to what is called
+// the Greenwich Mean Sidereal Time (GMST).
+// In case also the nutation of the earth's spin axis is taken into
+// account we speak of the Greenwich Apparent Sidereal Time (GAST).
//
// This AliTimestamp facility allows for picosecond precision, in view
// of time of flight analyses for particle physics experiments.
#include "AliTimestamp.h"
#include "Riostream.h"
-#include <cmath>
ClassImp(AliTimestamp) // Class implementation to enable ROOT I/O
fCalcns=t.fCalcns;
}
///////////////////////////////////////////////////////////////////////////
-void AliTimestamp::Date(Int_t mode)
+void AliTimestamp::Date(Int_t mode,Double_t offset)
{
// Print date/time info.
//
-// mode = 1 ==> Only the TTimeStamp yy-mm-dd hh:mm:ss:ns and GMST info is printed
+// mode = 1 ==> Only the UT yy-mm-dd hh:mm:ss.sss and GMST info is printed
// 2 ==> Only the Julian parameter info is printed
-// 3 ==> Both the TTimeStamp, GMST and Julian parameter info is printed
+// 3 ==> Both the UT, GMST and Julian parameter info is printed
+// -1 ==> Only the UT yy-mm-dd hh:mm:ss.sss and GAST info is printed
+// -3 ==> Both the UT, GAST and Julian parameter info is printed
//
-// The default is mode=3.
+// offset : Local time offset from UT (and also GMST) in fractional hours.
+//
+// When an offset value is specified, the corresponding local times
+// LT and LMST (or LAST) are printed as well.
+//
+// The default values are mode=3 and offset=0.
//
// Note : In case the (M/T)JD falls outside the TTimeStamp range,
-// the TTimeStamp info will be replaced by UT hh:mm:ss:ns:ps info.
+// the yy-mm-dd info will be omitted.
Int_t mjd,mjsec,mjns,mjps;
GetMJD(mjd,mjsec,mjns);
mjps=GetPs();
+ TString month[12]={"Jan","Feb","Mar","Apr","May","Jun","Jul","Aug","Sep","Oct","Nov","Dec"};
+ TString day[7]={"Mon","Tue","Wed","Thu","Fri","Sat","Sun"};
+ UInt_t y,m,d,wd;
Int_t hh,mm,ss,ns,ps;
+ Double_t gast;
- if (mode==1 || mode==3)
+ if (abs(mode)==1 || abs(mode)==3)
{
if (mjd>=40587 && (mjd<65442 || (mjd==65442 && mjsec<8047)))
{
- cout << " " << AsString() << endl;
+ GetDate(kTRUE,0,&y,&m,&d);
+ wd=GetDayOfWeek(kTRUE,0);
+ cout << " " << day[wd-1].Data() << ", " << setfill('0') << setw(2) << d << " "
+ << setfill(' ') << month[m-1].Data() << " " << y << " ";
+ }
+ else
+ {
+ cout << " Time ";
+ }
+ GetUT(hh,mm,ss,ns,ps);
+ cout << setfill('0') << setw(2) << hh << ":"
+ << setw(2) << mm << ":" << setw(2) << ss << "."
+ << setw(9) << ns << setw(3) << ps << " (UT) ";
+ if (mode>0)
+ {
+ GetGMST(hh,mm,ss,ns,ps);
+ }
+ else
+ {
+ gast=GetGAST();
+ Convert(gast,hh,mm,ss,ns,ps);
+ }
+ cout << setfill('0') << setw(2) << hh << ":"
+ << setw(2) << mm << ":" << setw(2) << ss << "."
+ << setw(9) << ns << setw(3) << ps;
+ if (mode>0)
+ {
+ cout << " (GMST)" << endl;
}
else
{
- GetUT(hh,mm,ss,ns,ps);
- cout << " UT : " << setfill('0') << setw(2) << hh << ":"
- << setw(2) << mm << ":" << setw(2) << ss
- << " ns : " << ns << " ps : " << ps << " ";
+ cout << " (GAST)" << endl;
+ }
+
+ // Local time information
+ if (offset)
+ {
+ // Determine the new date by including the offset
+ AliTimestamp t2(*this);
+ t2.Add(offset);
+ Int_t mjd2,mjsec2,mjns2;
+ t2.GetMJD(mjd2,mjsec2,mjns2);
+ if (mjd2>=40587 && (mjd2<65442 || (mjd2==65442 && mjsec2<8047)))
+ {
+ t2.GetDate(kTRUE,0,&y,&m,&d);
+ wd=t2.GetDayOfWeek(kTRUE,0);
+ cout << " " << day[wd-1].Data() << ", " << setfill('0') << setw(2) << d << " "
+ << setfill(' ') << month[m-1].Data() << " " << y << " ";
+ }
+ else
+ {
+ cout << " Time ";
+ }
+ // Determine the local time by including the offset w.r.t. the original timestamp
+ Double_t hlt=GetLT(offset);
+ Double_t hlst=0;
+ if (mode>0)
+ {
+ hlst=GetLMST(offset);
+ }
+ else
+ {
+ hlst=GetLAST(offset);
+ }
+ PrintTime(hlt,12); cout << " (LT) "; PrintTime(hlst,12);
+ if (mode>0)
+ {
+ cout << " (LMST)" << endl;
+ }
+ else
+ {
+ cout << " (LAST)" << endl;
+ }
}
- GetGST(hh,mm,ss,ns,ps);
- cout << " GST : " << setfill('0') << setw(2) << hh << ":"
- << setw(2) << mm << ":" << setw(2) << ss
- << " ns : " << ns << " ps : " << ps << endl;
}
- if (mode==2 || mode==3)
+ if (abs(mode)==2 || abs(mode)==3)
{
Int_t jd,jsec,jns;
GetJD(jd,jsec,jns);
void AliTimestamp::Convert(Double_t h,Int_t& hh,Int_t& mm,Int_t& ss,Int_t& ns,Int_t& ps) const
{
// Convert fractional hour count h into hh:mm:ss:ns:ps.
+// The sign of the input value will be neglected, so h<0 will result in
+// the same output values as h>0.
//
// Note : Due to computer accuracy the ps value may become inaccurate.
//
// please use the corresponding SET() memberfunctions of either AliTimestamp
// or TTimeStamp.
+ // Neglect sign of h
+ h=fabs(h);
+
hh=int(h);
h=h-double(hh);
- h=h*3600.;
+ h=h*60.;
+ mm=int(h);
+ h=h-double(mm);
+ h=h*60.;
ss=int(h);
h=h-double(ss);
h=h*1.e9;
ps=int(h);
}
///////////////////////////////////////////////////////////////////////////
+void AliTimestamp::Convert(Double_t h,Int_t& hh,Int_t& mm,Double_t& ss) const
+{
+// Convert fractional hour count h into hh:mm:ss.s.
+// The sign of the input value will be neglected, so h<0 will result in
+// the same output values as h>0.
+//
+// Notes :
+// -------
+// 1) This memberfunction only converts the input "h" into the corresponding
+// hh:mm:ss.s values. It does NOT set the corresponding Julian parameters
+// for the current AliTimestamp instance.
+// As such the TTimeStamp limitations do NOT apply to this memberfunction.
+// To set the Julian parameters for the current AliTimestamp instance,
+// please use the corresponding SET() memberfunctions of either AliTimestamp
+// or TTimeStamp.
+// 2) This facility can also be used to convert degrees in arcminutes etc...
+
+ // Neglect sign of h
+ h=fabs(h);
+
+ hh=int(h);
+ h=h-double(hh);
+ h=h*60.;
+ mm=int(h);
+ h=h-double(mm);
+ ss=h*60.;
+}
+///////////////////////////////////////////////////////////////////////////
Double_t AliTimestamp::Convert(Int_t hh,Int_t mm,Int_t ss,Int_t ns,Int_t ps) const
{
// Convert hh:mm:ss:ns:ps into fractional hour count.
+// The sign of the input values will be neglected, so the output value
+// will always correspond to a positive hh:mm:ss:ns:ps specification.
//
// Note : Due to computer accuracy the ps precision may be lost.
//
// please use the corresponding SET() memberfunctions of either AliTimestamp
// or TTimeStamp.
+ // Neglect the sign of the input values
+ hh=abs(hh);
+ mm=abs(mm);
+ ss=abs(ss);
+ ns=abs(ns);
+ ps=abs(ps);
+
Double_t h=hh;
h+=double(mm)/60.+(double(ss)+double(ns)*1.e-9+double(ps)*1.e-12)/3600.;
return h;
}
///////////////////////////////////////////////////////////////////////////
+Double_t AliTimestamp::Convert(Int_t hh,Int_t mm,Double_t ss) const
+{
+// Convert hh:mm:ss.s into fractional hour count.
+// The sign of the input values will be neglected, so the output value
+// will always correspond to a positive hh:mm:ss.s specification.
+//
+// Notes :
+// -------
+// 1) This memberfunction only converts the input hh:mm:ss.s data into the
+// corresponding fractional hour count. It does NOT set the corresponding
+// Julian parameters for the current AliTimestamp instance.
+// As such the TTimeStamp limitations do NOT apply to this memberfunction.
+// To set the Julian parameters for the current AliTimestamp instance,
+// please use the corresponding SET() memberfunctions of either AliTimestamp
+// or TTimeStamp.
+// 2) This facility can also be used to convert ddd:mm:ss.s into fractional degrees.
+
+ // Neglect the sign of the input values
+ hh=abs(hh);
+ mm=abs(mm);
+ ss=fabs(ss);
+
+ Double_t h=hh;
+ h+=double(mm)/60.+ss/3600.;
+
+ return h;
+}
+///////////////////////////////////////////////////////////////////////////
+void AliTimestamp::PrintTime(Double_t h,Int_t ndig) const
+{
+// Print a fractional hour count in hh:mm:ss.ssss format.
+// The range of the printed hour value is : -24 < hh < 24.
+// The argument "ndig" specifies the number of digits for the fractional
+// seconds (e.g. ndig=6 corresponds to microsecond precision).
+// No rounding will be performed, so a second count of 3.473 with ndig=1
+// will appear as 03.4 on the output.
+// Due to computer accuracy, precision on the picosecond level may get lost.
+//
+// The default is ndig=1.
+//
+// Note : The time info is printed without additional spaces or "endline".
+// This allows the print to be included in various composite output formats.
+
+ Int_t hh,mm,ss;
+ ULong64_t sfrac;
+ Double_t s;
+
+ while (h<-24)
+ {
+ h+=24.;
+ }
+ while (h>24)
+ {
+ h-=24.;
+ }
+
+ Convert(h,hh,mm,s);
+ ss=Int_t(s);
+ s-=Double_t(ss);
+ s*=pow(10.,ndig);
+ sfrac=ULong64_t(s);
+
+ if (h<0) cout << "-";
+ cout << setfill('0')
+ << setw(2) << hh << ":" << setw(2) << mm << ":"
+ << setw(2) << ss << "." << setw(ndig) << sfrac;
+}
+///////////////////////////////////////////////////////////////////////////
void AliTimestamp::FillJulian()
{
// Calculation and setting of the Julian date/time parameters corresponding
Int_t limit=65442; // MJD of the latest possible TTimeStamp date/time
Int_t date,time;
- if (mjd<epoch || (mjd>=limit && sec>=8047))
+ if (mjd<epoch || mjd>limit || (mjd==limit && sec>=8047))
{
Set(0,kFALSE,0,kFALSE);
date=GetDate();
SetMJD(days,secs,nsec,psec);
}
///////////////////////////////////////////////////////////////////////////
+void AliTimestamp::Add(Double_t hours)
+{
+// Add (or subtract) a certain time difference to the current timestamp.
+// The time difference is specified as a (fractional) number of hours.
+// Subtraction can be achieved by entering a negative value as input argument.
+
+ Int_t d,s,ns,ps;
+ Double_t h=fabs(hours);
+ d=int(h/24.);
+ h-=double(d)*24.;
+ h*=3600.;
+ s=int(h);
+ h-=double(s);
+ h*=1.e9;
+ ns=int(h);
+ h-=double(ns);
+ ps=int(h*1000.);
+ if (hours>0) Add(d,s,ns,ps);
+ if (hours<0) Add(-d,-s,-ns,-ps);
+}
+///////////////////////////////////////////////////////////////////////////
Int_t AliTimestamp::GetDifference(AliTimestamp* t,Int_t& d,Int_t& s,Int_t& ns,Int_t& ps)
{
// Provide the time difference w.r.t the AliTimestamp specified on the input.
// Note : ns=0 and ps=0 are the default values.
//
// This facility first determines the elapsed days, seconds etc...
-// since the beginning of the specified UT year on bais of the
+// since the beginning of the specified UT year on basis of the
// input arguments. Subsequently it invokes the SetUT memberfunction
// for the elapsed timespan.
// As such this facility is valid for all AD dates in the Gregorian
return ut;
}
///////////////////////////////////////////////////////////////////////////
-void AliTimestamp::GetGST(Int_t& hh,Int_t& mm,Int_t& ss,Int_t& ns,Int_t& ps)
+void AliTimestamp::GetGMST(Int_t& hh,Int_t& mm,Int_t& ss,Int_t& ns,Int_t& ps)
{
-// Provide the corrresponding Greenwich Sideral Time (GST).
+// Provide the corrresponding Greenwich Mean Sideral Time (GMST).
// The algorithm used is the one described at p. 83 of the book
// Astronomy Methods by Hale Bradt.
// This facility is based on the MJD, so the TTimeStamp limitations
AliTimestamp sid;
sid.SetMJD(mjd,sec,nsec,psec);
- // Add offset for GST start value defined as 06:41:50.54841 at 01-jan 00:00:00 UT
+ // Add offset for GMST start value defined as 06:41:50.54841 at 01-jan 00:00:00 UT
sec=6*3600+41*60+50;
nsec=548410000;
psec=0;
ps=psec;
}
///////////////////////////////////////////////////////////////////////////
-Double_t AliTimestamp::GetGST()
+Double_t AliTimestamp::GetGMST()
{
-// Provide the corrresponding Greenwich Sideral Time (GMST)
+// Provide the corrresponding Greenwich Mean Sideral Time (GMST)
// in fractional hours.
// This facility is based on the MJD, so the TTimeStamp limitations
// do not apply here.
Int_t hh,mm,ss,ns,ps;
- GetGST(hh,mm,ss,ns,ps);
+ GetGMST(hh,mm,ss,ns,ps);
Double_t gst=Convert(hh,mm,ss,ns,ps);
return gst;
}
///////////////////////////////////////////////////////////////////////////
+Double_t AliTimestamp::GetGAST()
+{
+// Provide the corrresponding Greenwich Apparent Sideral Time (GAST)
+// in fractional hours.
+// In case a hh:mm:ss.sss format is needed, please invoke the Convert()
+// memberfunction for conversion of the provided fractional hour value.
+//
+// The GAST is the GMST corrected for the shift of the vernal equinox
+// due to nutation. The right ascension component of the nutation correction
+// of the vernal equinox is called the "equation of the equinoxes".
+// So we have :
+//
+// GAST = GMST + (equation of the equinoxes)
+//
+// The equation of the equinoxes is determined via the Almanac() memberfunction.
+//
+// Since GMST is based on the MJD, the TTimeStamp limitations do not apply here.
+
+ Double_t da=Almanac();
+
+ // Convert to fractional hours
+ da/=3600.;
+
+ Double_t gast=GetGMST()+da;
+
+ while (gast<0)
+ {
+ gast+=24.;
+ }
+ while (gast>24.)
+ {
+ gast-=24.;
+ }
+
+ return gast;
+}
+///////////////////////////////////////////////////////////////////////////
+Double_t AliTimestamp::GetLT(Double_t offset)
+{
+// Provide the corresponding local time in fractional hours.
+// The "offset" denotes the time difference in (fractional) hours w.r.t. UT.
+// A mean solar day lasts 24h (i.e. 86400s).
+//
+// In case a hh:mm:ss format is needed, please use the Convert() facility.
+
+ // Current UT time in fractional hours
+ Double_t h=GetUT();
+
+ h+=offset;
+
+ while (h<0)
+ {
+ h+=24.;
+ }
+ while (h>24)
+ {
+ h-=24.;
+ }
+
+ return h;
+}
+///////////////////////////////////////////////////////////////////////////
+Double_t AliTimestamp::GetLMST(Double_t offset)
+{
+// Provide the corresponding Local Mean Sidereal Time (LMST) in fractional hours.
+// The "offset" denotes the time difference in (fractional) hours w.r.t. GMST.
+// A sidereal day corresponds to 23h 56m 04.09s (i.e. 86164.09s) mean solar time.
+// The definition of GMST is such that a sidereal clock corresponds with
+// 24 sidereal hours per revolution of the Earth.
+// As such, local time offsets w.r.t. UT and GMST can be treated similarly.
+//
+// In case a hh:mm:ss format is needed, please use the Convert() facility.
+
+ // Current GMST time in fractional hours
+ Double_t h=GetGMST();
+
+ h+=offset;
+
+ while (h<0)
+ {
+ h+=24.;
+ }
+ while (h>24)
+ {
+ h-=24.;
+ }
+
+ return h;
+}
+///////////////////////////////////////////////////////////////////////////
+Double_t AliTimestamp::GetLAST(Double_t offset)
+{
+// Provide the corresponding Local Apparent Sidereal Time (LAST) in fractional hours.
+// The "offset" denotes the time difference in (fractional) hours w.r.t. GAST.
+// A sidereal day corresponds to 23h 56m 04.09s (i.e. 86164.09s) mean solar time.
+// The definition of GMST and GAST is such that a sidereal clock corresponds with
+// 24 sidereal hours per revolution of the Earth.
+// As such, local time offsets w.r.t. UT, GMST and GAST can be treated similarly.
+//
+// In case a hh:mm:ss.sss format is needed, please use the Convert() facility.
+
+ // Current GAST time in fractional hours
+ Double_t h=GetGAST();
+
+ h+=offset;
+
+ while (h<0)
+ {
+ h+=24.;
+ }
+ while (h>24)
+ {
+ h-=24.;
+ }
+
+ return h;
+}
+///////////////////////////////////////////////////////////////////////////
+void AliTimestamp::SetLT(Double_t dt,Int_t y,Int_t m,Int_t d,Int_t hh,Int_t mm,Int_t ss,Int_t ns,Int_t ps)
+{
+// Set the AliTimestamp parameters corresponding to the LT date and time
+// in the Gregorian calendar as specified by the input arguments.
+// This facility is exact upto picosecond precision and as such is
+// for scientific observations preferable above the corresponding
+// Set function(s) of TTimestamp.
+// The latter has a random spread in the sub-second part, which
+// might be of use in generating distinguishable timestamps while
+// still keeping second precision.
+//
+// The input arguments represent the following :
+//
+// dt : the local time offset in fractional hours w.r.t. UT.
+// y : year in LT (e.g. 1952, 2003 etc...)
+// m : month in LT (1=jan 2=feb etc...)
+// d : day in LT (1-31)
+// hh : elapsed hours in LT (0-23)
+// mm : elapsed minutes in LT (0-59)
+// ss : elapsed seconds in LT (0-59)
+// ns : remaining fractional elapsed second of LT in nanosecond
+// ps : remaining fractional elapsed nanosecond of LT in picosecond
+//
+// Note : ns=0 and ps=0 are the default values.
+//
+// This facility first sets the UT as specified by the input arguments
+// and then corrects the UT by subtracting the local time offset w.r.t. UT.
+// As such this facility is valid for all AD dates in the Gregorian
+// calendar with picosecond precision.
+
+ SetUT(y,m,d,hh,mm,ss,ns,ps);
+ Add(-dt);
+}
+///////////////////////////////////////////////////////////////////////////
+void AliTimestamp::SetLT(Double_t dt,Int_t y,Int_t d,Int_t s,Int_t ns,Int_t ps)
+{
+// Set the AliTimestamp parameters corresponding to the specified elapsed
+// timespan since the beginning of the new LT year.
+// This facility is exact upto picosecond precision and as such is
+// for scientific observations preferable above the corresponding
+// Set function(s) of TTimestamp.
+// The latter has a random spread in the sub-second part, which
+// might be of use in generating distinguishable timestamps while
+// still keeping second precision.
+//
+// The LT year and elapsed time span is entered via the following input arguments :
+//
+// dt : the local time offset in fractional hours w.r.t. UT.
+// y : year in LT (e.g. 1952, 2003 etc...)
+// d : elapsed number of days
+// s : (remaining) elapsed number of seconds
+// ns : (remaining) elapsed number of nanoseconds
+// ps : (remaining) elapsed number of picoseconds
+//
+// The specified d, s, ns and ps values will be used in an additive
+// way to determine the elapsed timespan.
+// So, specification of d=1, s=100, ns=0, ps=0 will result in the
+// same elapsed time span as d=0, s=24*3600+100, ns=0, ps=0.
+// However, by making use of the latter the user should take care
+// of possible integer overflow problems in the input arguments,
+// which obviously will provide incorrect results.
+//
+// Note : ns=0 and ps=0 are the default values.
+//
+// This facility first sets the UT as specified by the input arguments
+// and then corrects the UT by subtracting the local time offset w.r.t. UT.
+// As such this facility is valid for all AD dates in the Gregorian calendar.
+
+ SetUT(y,d,s,ns,ps);
+ Add(-dt);
+}
+///////////////////////////////////////////////////////////////////////////
Double_t AliTimestamp::GetJD(Double_t e,TString mode) const
{
// Provide the fractional Julian Date from epoch e.
return tjd;
}
///////////////////////////////////////////////////////////////////////////
+Double_t AliTimestamp::Almanac(Double_t* dpsi,Double_t* deps,Double_t* eps)
+{
+// Determination of some astronomical observables which may be needed
+// for further calculations like e.g. precession of coordinates.
+//
+// The standard returned value is the "equation of the equinoxes"
+// (i.e. the nutational shift of the RA of the vernal equinox) in seconds.
+// The memberfunction arguments provide the possibility of retrieving
+// optional returned values. The corresponding observables are :
+//
+// dpsi : Nutational shift in ecliptic longitude in arcseconds
+// deps : Nutational shift in ecliptic obliquity in arcseconds
+// eps : Mean obliquity of the ecliptic in arcseconds
+//
+// All shifts are determined for the current timestamp with
+// J2000.0 (i.e. 01-jan-2000 12:00:00 UT) as the reference epoch.
+//
+// Invokation example :
+// --------------------
+// AliTimestamp t;
+// Double_t da,dpsi,deps,eps;
+// da=t.Almanac(&dpsi,&deps,&eps);
+//
+// The nutation model used is the new one as documented in :
+// "The IAU Resolutions on Astronomical Reference Systems,
+// Time Scales and Earth Rotation Models".
+// This document is freely available as Circular 179 (2005) of the
+// United States Naval Observatory (USNO).
+// (See : http://aa.usno.navy.mil/publications/docs).
+//
+// The change in ecliptic longitude (dpsi) and ecliptic obliquity (deps)
+// are evaluated using the IAU 2000A nutation series expansion
+// as provided in the USNO Circular 179.
+// The new expression for the equation of the equinoxes is based on a series
+// expansion and is the most accurate one known to date.
+// The components are documented on p.17 of the USNO Circular 179.
+//
+// In the current implementation only the first 28 terms of the nutation series
+// are used. This provides an accuracy of about 0.01 arcsec corresponding to 0.001 sec.
+// In case a better accuracy is required, the series can be extended.
+// The total series expansion consists of 1365 terms.
+//
+// Since all calculations are based on the JD, the TTimeStamp limitations
+// do not apply here.
+
+ Double_t pi=acos(-1.);
+
+ Double_t t; // Time difference in fractional Julian centuries w.r.t. the start of J2000.
+ Double_t epsilon; // Mean obliquity of the ecliptic
+ Double_t l; // Mean anomaly of the Moon
+ Double_t lp; // Mean anomaly of the Sun
+ Double_t f; // Mean argument of latitude of the moon
+ Double_t d; // Mean elongation of the Moon from the Sun
+ Double_t om; // Mean longitude of the Moon's mean ascending mode
+
+ t=(GetJD()-2451545.0)/36525.;
+
+ // Values of epsilon and the fundamental luni-solar arguments in arcseconds
+ epsilon=84381.406-46.836769*t-0.0001831*pow(t,2)+0.00200340*pow(t,3)
+ -0.000000576*pow(t,4)-0.0000000434*pow(t,5);
+ l=485868.249036+1717915923.2178*t+31.8792*pow(t,2)+0.051635*pow(t,3)-0.00024470*pow(t,4);
+ lp=1287104.79305+129596581.0481*t-0.5532*pow(t,2)+0.000136*pow(t,3)-0.00001149*pow(t,4);
+ f=335779.526232+1739527262.8478*t-12.7512*pow(t,2)-0.001037*pow(t,3)+0.00000417*pow(t,4);
+ d=1072260.70369+1602961601.2090*t-6.3706*pow(t,2)+0.006593*pow(t,3)-0.00003169*pow(t,4);
+ om=450160.398036-6962890.5431*t+7.4722*pow(t,2)+0.007702*pow(t,3)-0.00005939*pow(t,4);
+
+ if (eps) *eps=epsilon;
+
+ // Convert to radians
+ epsilon=epsilon*pi/(180.*3600.);
+ f=f*pi/(180.*3600.);
+ d=d*pi/(180.*3600.);
+ l=l*pi/(180.*3600.);
+ lp=lp*pi/(180.*3600.);
+ om=om*pi/(180.*3600.);
+
+ //The IAU 2000A nutation series expansion.
+ Double_t phi[28]={om,2.*(f-d+om),2.*(f+om),2.*om,lp,lp+2.*(f-d+om),l,
+ 2.*f+om,l+2.*(f+om),2.*(f-d+om)-lp,2.*(f-d)+om,2.*(f+om)-l,2.*d-l,l+om,
+ om-l,2.*(f+d+om)-l,l+2.*f+om,2.*(f-l)+om,2.*d,2.*(f+d+om),2.*(f-d+om-lp),
+ 2.*(d-l),2.*(l+d+om),l+2.*(f-d+om),2.*f+om-l,2.*l,2.*f,lp+om};
+ Double_t s[28]={-17.2064161,-1.3170907,-0.2276413, 0.2074554, 0.1475877,-0.0516821, 0.0711159,
+ -0.0387298,-0.0301461, 0.0215829, 0.0128227, 0.0123457, 0.0156994, 0.0063110,
+ -0.0057976,-0.0059641,-0.0051613, 0.0045893, 0.0063384,-0.0038571, 0.0032481,
+ -0.0047722,-0.0031046, 0.0028593, 0.0020441, 0.0029243, 0.0025887,-0.0014053};
+ Double_t sd[28]={-0.0174666,-0.0001675,-0.0000234, 0.0000207,-0.0003633, 0.0001226, 0.0000073,
+ -0.0000367,-0.0000036,-0.0000494, 0.0000137, 0.0000011, 0.0000010, 0.0000063,
+ -0.0000063,-0.0000011,-0.0000042, 0.0000050, 0.0000011,-0.0000001, 0.0000000,
+ 0.0000000,-0.0000001, 0.0000000, 0.0000021, 0.0000000, 0.0000000,-0.0000025};
+ Double_t cp[28]={ 0.0033386,-0.0013696, 0.0002796,-0.0000698, 0.0011817,-0.0000524,-0.0000872,
+ 0.0000380, 0.0000816, 0.0000111, 0.0000181, 0.0000019,-0.0000168, 0.0000027,
+ -0.0000189, 0.0000149, 0.0000129, 0.0000031,-0.0000150, 0.0000158, 0.0000000,
+ -0.0000018, 0.0000131,-0.0000001, 0.0000010,-0.0000074,-0.0000066, 0.0000079};
+ Double_t c[28]= { 9.2052331, 0.5730336, 0.0978459,-0.0897492, 0.0073871, 0.0224386,-0.0006750,
+ 0.0200728, 0.0129025,-0.0095929,-0.0068982,-0.0053311,-0.0001235,-0.0033228,
+ 0.0031429, 0.0025543, 0.0026366,-0.0024236,-0.0001220, 0.0016452,-0.0013870,
+ 0.0000477, 0.0013238,-0.0012338,-0.0010758,-0.0000609,-0.0000550, 0.0008551};
+ Double_t cd[28]={ 0.0009086,-0.0003015,-0.0000485, 0.0000470,-0.0000184,-0.0000677, 0.0000000,
+ 0.0000018,-0.0000063, 0.0000299,-0.0000009, 0.0000032, 0.0000000, 0.0000000,
+ 0.0000000,-0.0000011, 0.0000000,-0.0000010, 0.0000000,-0.0000011, 0.0000000,
+ 0.0000000,-0.0000011, 0.0000010, 0.0000000, 0.0000000, 0.0000000,-0.0000002};
+ Double_t sp[28]={ 0.0015377,-0.0004587, 0.0001374,-0.0000291,-0.0001924,-0.0000174, 0.0000358,
+ 0.0000318, 0.0000367, 0.0000132, 0.0000039,-0.0000004, 0.0000082,-0.0000009,
+ -0.0000075, 0.0000066, 0.0000078, 0.0000020, 0.0000029, 0.0000068, 0.0000000,
+ -0.0000025, 0.0000059,-0.0000003,-0.0000003, 0.0000013, 0.0000011,-0.0000045};
+
+ Double_t dp=0,de=0,da=0;
+ for (Int_t i=0; i<28; i++)
+ {
+ dp+=(s[i]+sd[i]*t)*sin(phi[i])+cp[i]*cos(phi[i]);
+ de+=(c[i]+cd[i]*t)*cos(phi[i])+sp[i]*sin(phi[i]);
+ }
+
+ da=dp*cos(epsilon)+0.00264096*sin(om)+0.00006352*sin(2.*om)
+ +0.00001175*sin(2.*f-2.*d+3.*om)+0.00001121*sin(2.*f-2.*d+om)
+ -0.00000455*sin(2.*f-2.*d+2.*om)+0.00000202*sin(2.*f+3.*om)+0.00000198*sin(2.*f+om)
+ -0.00000172*sin(3.*om)-0.00000087*t*sin(om);
+
+ if (dpsi) *dpsi=dp;
+ if (deps) *deps=de;
+
+ // Convert to seconds
+ da/=15.;
+
+ return da;
+}
+///////////////////////////////////////////////////////////////////////////
+void AliTimestamp::SetEpoch(Double_t e,TString mode)
+{
+// Set the timestamp parameters according to the epoch as specified by
+// the input argument "e".
+// Via the input argument "mode" the user can specify the type of epoch
+//
+// mode = "B" ==> Besselian epoch
+// "J" ==> Julian epoch
+
+ Double_t jd=GetJD(e,mode);
+ SetJD(jd);
+}
+///////////////////////////////////////////////////////////////////////////
+Double_t AliTimestamp::GetEpoch(TString mode)
+{
+// Provide the corresponding epoch value.
+// Via the input argument "mode" the user can specify the type of epoch
+//
+// mode = "B" ==> Besselian epoch
+// "J" ==> Julian epoch
+
+ Double_t e=0;
+ if (mode=="B" || mode=="b") e=GetBE();
+ if (mode=="J" || mode=="j") e=GetJE();
+ return e;
+}
+///////////////////////////////////////////////////////////////////////////
git://git.uio.no / u / mrichter / AliRoot.git / blobdiff